%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG103+1 : TPTP v9.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yCotZDDjnO true
% Computer : n001.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 04:27:38 PM UTC 2025
% Result : Theorem 84.69s 14.57s
% Output : Refutation 84.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 154
% Syntax : Number of formulae : 3111 ( 471 unt; 0 typ; 0 def)
% Number of atoms : 9504 (8243 equ; 0 cnn)
% Maximal formula atoms : 292 ( 3 avg)
% Number of connectives : 30569 (3784 ~;3040 |;1930 &;20392 @)
% ( 0 <=>; 136 =>;1287 <=; 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(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_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_cl2065,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
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_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_cl1873,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
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_cl808,plain,
( ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ e10 )
!= e22 )
| ( ( h1 @ e11 )
!= e21 )
| ( ( h1 @ e12 )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3657,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_cl808]) ).
thf(ax14,axiom,
( ( ( h1 @ e13 )
= ( op2 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) @ e20 ) )
& ( ( h1 @ e12 )
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) )
& ( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) )
& ( ( h1 @ e10 )
= e20 ) ) ).
thf(zip_derived_cl785,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl782,plain,
( ( h1 @ e13 )
= ( op2 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(ax13,axiom,
( ( e23
= ( op2 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) @ e20 ) )
& ( e22
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) )
& ( e21
= ( op2 @ e20 @ e20 ) ) ) ).
thf(zip_derived_cl781,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24180,plain,
( ( h1 @ e13 )
= ( op2 @ ( op2 @ e20 @ e21 ) @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl782,zip_derived_cl781]) ).
thf(zip_derived_cl780,plain,
( e22
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl781_001,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24175,plain,
( e22
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl780,zip_derived_cl781]) ).
thf(zip_derived_cl779,plain,
( e23
= ( op2 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl780_002,plain,
( e22
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24168,plain,
( e23
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl779,zip_derived_cl780]) ).
thf(zip_derived_cl29607,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl24180,zip_derived_cl24175,zip_derived_cl24168]) ).
thf(zip_derived_cl29761,plain,
( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ e20 @ e23 ) )
<= ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3657,zip_derived_cl785,zip_derived_cl29607]) ).
thf(zip_derived_cl29763,plain,
( ( ( h1 @ e13 )
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1873,zip_derived_cl29761]) ).
thf(zip_derived_cl29607_003,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl24180,zip_derived_cl24175,zip_derived_cl24168]) ).
thf(zip_derived_cl29765,plain,
( ( e23
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29763,zip_derived_cl29607]) ).
thf(zip_derived_cl30096,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2065,zip_derived_cl29765]) ).
thf('0',plain,
( ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
| ( ( op1 @ e10 @ e13 )
!= e13 )
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30096]) ).
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_cl2066,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
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_cl1874,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl3656,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_cl808]) ).
thf(zip_derived_cl785_004,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl783,plain,
( ( h1 @ e12 )
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl781_005,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24186,plain,
( ( h1 @ e12 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl783,zip_derived_cl781]) ).
thf(zip_derived_cl24175_006,plain,
( e22
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl780,zip_derived_cl781]) ).
thf(zip_derived_cl29608,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl24186,zip_derived_cl24175]) ).
thf(zip_derived_cl29756,plain,
( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ e20 @ e22 ) )
<= ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3656,zip_derived_cl785,zip_derived_cl29608]) ).
thf(zip_derived_cl29757,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1874,zip_derived_cl29756]) ).
thf(zip_derived_cl785_007,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29759,plain,
( ( e20
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29757,zip_derived_cl785]) ).
thf(zip_derived_cl30080,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2066,zip_derived_cl29759]) ).
thf('1',plain,
( ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
| ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30080]) ).
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_cl2025,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
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_cl1833,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl807,plain,
( ( ( h1 @ e13 )
!= e23 )
| ( ( h1 @ e10 )
!= e22 )
| ( ( h1 @ e11 )
!= e21 )
| ( ( h1 @ e11 )
!= e20 )
| ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3647,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_cl807]) ).
thf(zip_derived_cl29607_008,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl24180,zip_derived_cl24175,zip_derived_cl24168]) ).
thf(zip_derived_cl784,plain,
( ( h1 @ e11 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl781_009,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24194,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl784,zip_derived_cl781]) ).
thf(zip_derived_cl29743,plain,
( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ e23 @ e21 ) )
<= ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3647,zip_derived_cl29607,zip_derived_cl24194]) ).
thf(zip_derived_cl29746,plain,
( ( ( h1 @ e13 )
!= ( op2 @ e23 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1833,zip_derived_cl29743]) ).
thf(zip_derived_cl29607_010,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl24180,zip_derived_cl24175,zip_derived_cl24168]) ).
thf(zip_derived_cl29749,plain,
( ( e23
!= ( op2 @ e23 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29746,zip_derived_cl29607]) ).
thf(zip_derived_cl30072,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2025,zip_derived_cl29749]) ).
thf('2',plain,
( ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
| ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30072]) ).
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_cl2014,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
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_cl1822,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl29607_011,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl24180,zip_derived_cl24175,zip_derived_cl24168]) ).
thf(zip_derived_cl798,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_cl3469,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_cl798]) ).
thf(zip_derived_cl29670,plain,
( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ e23 @ e23 ) )
<= ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29607,zip_derived_cl3469]) ).
thf(zip_derived_cl29712,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1822,zip_derived_cl29670]) ).
thf(zip_derived_cl785_012,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29714,plain,
( ( e20
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29712,zip_derived_cl785]) ).
thf(zip_derived_cl29956,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2014,zip_derived_cl29714]) ).
thf('3',plain,
( ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
| ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29956]) ).
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_cl2055,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
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_cl1863,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl3459,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_cl798]) ).
thf(zip_derived_cl24194_013,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl784,zip_derived_cl781]) ).
thf(zip_derived_cl24194_014,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl784,zip_derived_cl781]) ).
thf(zip_derived_cl29182,plain,
( ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ e21 @ e21 ) )
<= ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3459,zip_derived_cl24194,zip_derived_cl24194]) ).
thf(zip_derived_cl29184,plain,
( ( ( h1 @ e11 )
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1863,zip_derived_cl29182]) ).
thf(zip_derived_cl24194_015,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl784,zip_derived_cl781]) ).
thf(zip_derived_cl29188,plain,
( ( e21
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29184,zip_derived_cl24194]) ).
thf(zip_derived_cl29788,plain,
( ( e21 != e21 )
<= ( ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2055,zip_derived_cl29188]) ).
thf('4',plain,
( ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
| ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29788]) ).
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_cl2053,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
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_cl1861,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl3660,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_cl808]) ).
thf(zip_derived_cl24194_016,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl784,zip_derived_cl781]) ).
thf(zip_derived_cl29608_017,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl24186,zip_derived_cl24175]) ).
thf(zip_derived_cl29768,plain,
( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ e21 @ e22 ) )
<= ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3660,zip_derived_cl24194,zip_derived_cl29608]) ).
thf(zip_derived_cl29772,plain,
( ( ( h1 @ e13 )
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1861,zip_derived_cl29768]) ).
thf(zip_derived_cl29607_018,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl24180,zip_derived_cl24175,zip_derived_cl24168]) ).
thf(zip_derived_cl29776,plain,
( ( e23
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29772,zip_derived_cl29607]) ).
thf(zip_derived_cl30139,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2053,zip_derived_cl29776]) ).
thf('5',plain,
( ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
| ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30139]) ).
thf(zip_derived_cl1791,plain,
( ( ( h4 @ e10 )
!= e23 )
| ( ( h4 @ e12 )
!= e22 )
| ( ( h4 @ e13 )
!= e21 )
| ( ( h4 @ e11 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('6',plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ e11 )
!= e20 )
| ( ( h4 @ e13 )
!= e21 )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ e12 )
!= e22 )
| ( ( h4 @ e10 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl1791]) ).
thf(zip_derived_cl2014_019,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1567,plain,
( ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e10 )
!= e22 )
| ( ( h4 @ e13 )
!= e21 )
| ( ( h4 @ e11 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18851,plain,
( ( ( h4 @ e11 )
!= e20 )
<= ( ( h4 @ e11 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl1567]) ).
thf(ax17,axiom,
( ( ( h4 @ e13 )
= ( op2 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) @ e23 ) )
& ( ( h4 @ e12 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) )
& ( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) )
& ( ( h4 @ e10 )
= e23 ) ) ).
thf(zip_derived_cl796,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl26692,plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
<= ( ( h4 @ e11 )
!= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl18851,zip_derived_cl796]) ).
thf(zip_derived_cl26693,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ e11 )
!= e20 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2014,zip_derived_cl26692]) ).
thf('7',plain,
( ( ( h4 @ e11 )
= e20 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26693]) ).
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_cl2031,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
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_cl2028,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl2014_020,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl795,plain,
( ( h4 @ e12 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl25795,plain,
( ( ( h4 @ e12 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2014,zip_derived_cl795]) ).
thf(zip_derived_cl794,plain,
( ( h4 @ e13 )
= ( op2 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl795_021,plain,
( ( h4 @ e12 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl24260,plain,
( ( h4 @ e13 )
= ( op2 @ ( h4 @ e12 ) @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl794,zip_derived_cl795]) ).
thf(zip_derived_cl30300,plain,
( ( ( h4 @ e13 )
= ( op2 @ ( op2 @ e23 @ e20 ) @ e23 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25795,zip_derived_cl24260]) ).
thf(zip_derived_cl48164,plain,
( ( ( h4 @ e13 )
= ( op2 @ e22 @ e23 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2028,zip_derived_cl30300]) ).
thf(zip_derived_cl1566,plain,
( ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e10 )
!= e22 )
| ( ( h4 @ e13 )
!= e21 )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18832,plain,
( ( ( h4 @ e13 )
!= e21 )
<= ( ( h4 @ e13 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl1566]) ).
thf(zip_derived_cl48169,plain,
( ( ( op2 @ e22 @ e23 )
!= e21 )
<= ( ( ( h4 @ e13 )
!= e21 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48164,zip_derived_cl18832]) ).
thf(zip_derived_cl48775,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ e13 )
!= e21 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2031,zip_derived_cl48169]) ).
thf('8',plain,
( ( ( h4 @ e13 )
= e21 )
| ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48775]) ).
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_cl2036,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
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_cl1844,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl2028_022,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25795_023,plain,
( ( ( h4 @ e12 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2014,zip_derived_cl795]) ).
thf(zip_derived_cl18824,plain,
( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1566]) ).
thf(zip_derived_cl43849,plain,
( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25795,zip_derived_cl18824]) ).
thf(zip_derived_cl44523,plain,
( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ e22 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2028,zip_derived_cl43849]) ).
thf(zip_derived_cl44529,plain,
( ( ( h4 @ e12 )
!= ( op2 @ e22 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1844,zip_derived_cl44523]) ).
thf(zip_derived_cl25795_024,plain,
( ( ( h4 @ e12 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2014,zip_derived_cl795]) ).
thf(zip_derived_cl2028_025,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl44531,plain,
( ( e22
!= ( op2 @ e22 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44529,zip_derived_cl25795,zip_derived_cl2028]) ).
thf(zip_derived_cl44539,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2036,zip_derived_cl44531]) ).
thf('9',plain,
( ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl44539]) ).
thf(zip_derived_cl18814,plain,
( ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1566]) ).
thf(ax12,axiom,
( ( e13
= ( op1 @ ( op1 @ e10 @ ( op1 @ e10 @ e10 ) ) @ e10 ) )
& ( e12
= ( op1 @ e10 @ ( op1 @ e10 @ e10 ) ) )
& ( e11
= ( op1 @ e10 @ e10 ) ) ) ).
thf(zip_derived_cl778,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl796_026,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl797,plain,
( ( h4 @ e10 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl797_027,plain,
( ( h4 @ e10 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl43768,plain,
( ( ( op2 @ e23 @ e23 )
!= ( op2 @ e23 @ e23 ) )
<= ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18814,zip_derived_cl778,zip_derived_cl796,zip_derived_cl797,zip_derived_cl797]) ).
thf('10',plain,
( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl43768]) ).
thf(zip_derived_cl2062,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl2014_028,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
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_cl171,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25794,plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2014,zip_derived_cl171]) ).
thf(zip_derived_cl28362,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2062,zip_derived_cl25794]) ).
thf('11',plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28362]) ).
thf(zip_derived_cl2065_029,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl2014_030,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
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_cl1866,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl18818,plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1566]) ).
thf(zip_derived_cl796_031,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl797_032,plain,
( ( h4 @ e10 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl43793,plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ e23 ) )
<= ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18818,zip_derived_cl796,zip_derived_cl797]) ).
thf(zip_derived_cl43794,plain,
( ( ( h4 @ e10 )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1866,zip_derived_cl43793]) ).
thf(zip_derived_cl797_033,plain,
( ( h4 @ e10 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl43796,plain,
( ( e23
!= ( op2 @ ( op2 @ e23 @ e23 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl43794,zip_derived_cl797]) ).
thf(zip_derived_cl44065,plain,
( ( e23
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2014,zip_derived_cl43796]) ).
thf(zip_derived_cl44071,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2065,zip_derived_cl44065]) ).
thf('12',plain,
( ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl44071]) ).
thf(zip_derived_cl2028_034,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
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_cl1846,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl2014_035,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl18823,plain,
( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1566]) ).
thf(zip_derived_cl796_036,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl43836,plain,
( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( op2 @ e23 @ e23 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18823,zip_derived_cl796]) ).
thf(zip_derived_cl43837,plain,
( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2014,zip_derived_cl43836]) ).
thf(zip_derived_cl25795_037,plain,
( ( ( h4 @ e12 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2014,zip_derived_cl795]) ).
thf(zip_derived_cl43843,plain,
( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( op2 @ e23 @ e20 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl43837,zip_derived_cl25795]) ).
thf(zip_derived_cl44288,plain,
( ( ( h4 @ e10 )
!= ( op2 @ ( op2 @ e23 @ e20 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1846,zip_derived_cl43843]) ).
thf(zip_derived_cl797_038,plain,
( ( h4 @ e10 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl44290,plain,
( ( e23
!= ( op2 @ ( op2 @ e23 @ e20 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44288,zip_derived_cl797]) ).
thf(zip_derived_cl44293,plain,
( ( e23
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2028,zip_derived_cl44290]) ).
thf(zip_derived_cl24168_039,plain,
( e23
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl779,zip_derived_cl780]) ).
thf(zip_derived_cl44295,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44293,zip_derived_cl24168]) ).
thf('13',plain,
( ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl44295]) ).
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_cl2048,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2031_040,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl48164_041,plain,
( ( ( h4 @ e13 )
= ( op2 @ e22 @ e23 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2028,zip_derived_cl30300]) ).
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_cl1836,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl18826,plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1566]) ).
thf(zip_derived_cl797_042,plain,
( ( h4 @ e10 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl43863,plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ e23 ) )
<= ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18826,zip_derived_cl797]) ).
thf(zip_derived_cl43865,plain,
( ( ( h4 @ e12 )
!= ( op2 @ ( h4 @ e13 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1836,zip_derived_cl43863]) ).
thf(zip_derived_cl48179,plain,
( ( ( h4 @ e12 )
!= ( op2 @ ( op2 @ e22 @ e23 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48164,zip_derived_cl43865]) ).
thf(zip_derived_cl25795_043,plain,
( ( ( h4 @ e12 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2014,zip_derived_cl795]) ).
thf(zip_derived_cl2028_044,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl48241,plain,
( ( e22
!= ( op2 @ ( op2 @ e22 @ e23 ) @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48179,zip_derived_cl25795,zip_derived_cl2028]) ).
thf(zip_derived_cl49390,plain,
( ( e22
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2031,zip_derived_cl48241]) ).
thf(zip_derived_cl50106,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2048,zip_derived_cl49390]) ).
thf('14',plain,
( ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( op1 @ e13 @ e10 )
!= e12 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl50106]) ).
thf(zip_derived_cl2031_045,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl48164_046,plain,
( ( ( h4 @ e13 )
= ( op2 @ e22 @ e23 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2028,zip_derived_cl30300]) ).
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_cl1856,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl2014_047,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl18821,plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1566]) ).
thf(zip_derived_cl796_048,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl43821,plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18821,zip_derived_cl796]) ).
thf(zip_derived_cl43823,plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ e20 @ ( h4 @ e13 ) ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2014,zip_derived_cl43821]) ).
thf(zip_derived_cl44130,plain,
( ( ( h4 @ e12 )
!= ( op2 @ e20 @ ( h4 @ e13 ) ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1856,zip_derived_cl43823]) ).
thf(zip_derived_cl25795_049,plain,
( ( ( h4 @ e12 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2014,zip_derived_cl795]) ).
thf(zip_derived_cl44134,plain,
( ( ( op2 @ e23 @ e20 )
!= ( op2 @ e20 @ ( h4 @ e13 ) ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44130,zip_derived_cl25795]) ).
thf(zip_derived_cl48193,plain,
( ( ( op2 @ e23 @ e20 )
!= ( op2 @ e20 @ ( op2 @ e22 @ e23 ) ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48164,zip_derived_cl44134]) ).
thf(zip_derived_cl2028_050,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl48245,plain,
( ( e22
!= ( op2 @ e20 @ ( op2 @ e22 @ e23 ) ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48193,zip_derived_cl2028]) ).
thf(zip_derived_cl49413,plain,
( ( e22
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2031,zip_derived_cl48245]) ).
thf(zip_derived_cl24175_051,plain,
( e22
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl780,zip_derived_cl781]) ).
thf(zip_derived_cl49416,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49413,zip_derived_cl24175]) ).
thf('15',plain,
( ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49416]) ).
thf(zip_derived_cl18822,plain,
( ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1566]) ).
thf(zip_derived_cl776,plain,
( e13
= ( op1 @ ( op1 @ e10 @ ( op1 @ e10 @ e10 ) ) @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl777,plain,
( e12
= ( op1 @ e10 @ ( op1 @ e10 @ e10 ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl24158,plain,
( e13
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl776,zip_derived_cl777]) ).
thf(zip_derived_cl797_052,plain,
( ( h4 @ e10 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl24260_053,plain,
( ( h4 @ e13 )
= ( op2 @ ( h4 @ e12 ) @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl794,zip_derived_cl795]) ).
thf(zip_derived_cl43834,plain,
( ( ( h4 @ e13 )
!= ( h4 @ e13 ) )
<= ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18822,zip_derived_cl24158,zip_derived_cl797,zip_derived_cl24260]) ).
thf('16',plain,
( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl43834]) ).
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_cl2038,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2031_054,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl48164_055,plain,
( ( ( h4 @ e13 )
= ( op2 @ e22 @ e23 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2028,zip_derived_cl30300]) ).
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_cl1839,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl2028_056,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25795_057,plain,
( ( ( h4 @ e12 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2014,zip_derived_cl795]) ).
thf(zip_derived_cl18825,plain,
( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1566]) ).
thf(zip_derived_cl43858,plain,
( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( op2 @ e23 @ e20 ) @ ( h4 @ e13 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25795,zip_derived_cl18825]) ).
thf(zip_derived_cl44353,plain,
( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ e22 @ ( h4 @ e13 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2028,zip_derived_cl43858]) ).
thf(zip_derived_cl44355,plain,
( ( ( h4 @ e11 )
!= ( op2 @ e22 @ ( h4 @ e13 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1839,zip_derived_cl44353]) ).
thf(zip_derived_cl796_058,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2014_059,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl44358,plain,
( ( e20
!= ( op2 @ e22 @ ( h4 @ e13 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44355,zip_derived_cl796,zip_derived_cl2014]) ).
thf(zip_derived_cl48209,plain,
( ( e20
!= ( op2 @ e22 @ ( op2 @ e22 @ e23 ) ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48164,zip_derived_cl44358]) ).
thf(zip_derived_cl49317,plain,
( ( e20
!= ( op2 @ e22 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2031,zip_derived_cl48209]) ).
thf(zip_derived_cl50012,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2038,zip_derived_cl49317]) ).
thf('17',plain,
( ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl50012]) ).
thf(zip_derived_cl18815,plain,
( ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1566]) ).
thf(zip_derived_cl777_060,plain,
( e12
= ( op1 @ e10 @ ( op1 @ e10 @ e10 ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl778_061,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl24165,plain,
( e12
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl777,zip_derived_cl778]) ).
thf(zip_derived_cl797_062,plain,
( ( h4 @ e10 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl796_063,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl795_064,plain,
( ( h4 @ e12 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl43770,plain,
( ( ( h4 @ e12 )
!= ( h4 @ e12 ) )
<= ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18815,zip_derived_cl24165,zip_derived_cl797,zip_derived_cl796,zip_derived_cl795]) ).
thf('18',plain,
( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl43770]) ).
thf(zip_derived_cl2028_065,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25795_066,plain,
( ( ( h4 @ e12 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2014,zip_derived_cl795]) ).
thf(zip_derived_cl1598,plain,
( ( ( h4 @ e13 )
!= e23 )
| ( ( h4 @ e12 )
!= e22 )
| ( ( h4 @ e13 )
!= e21 )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19471,plain,
( ( ( h4 @ e12 )
!= e22 )
<= ( ( h4 @ e12 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl1598]) ).
thf(zip_derived_cl30298,plain,
( ( ( op2 @ e23 @ e20 )
!= e22 )
<= ( ( ( h4 @ e12 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25795,zip_derived_cl19471]) ).
thf(zip_derived_cl30309,plain,
( ( e22 != e22 )
<= ( ( ( h4 @ e12 )
!= e22 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2028,zip_derived_cl30298]) ).
thf('19',plain,
( ( ( h4 @ e12 )
= e22 )
| ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30309]) ).
thf(zip_derived_cl1758,plain,
( ( ( h4 @ e10 )
!= e23 )
| ( ( h4 @ e10 )
!= e22 )
| ( ( h4 @ e13 )
!= e21 )
| ( ( h4 @ e10 )
!= e20 )
| ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
| ( ( h4 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22672,plain,
( ( ( h4 @ e10 )
!= e23 )
<= ( ( h4 @ e10 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl1758]) ).
thf(zip_derived_cl797_067,plain,
( ( h4 @ e10 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl27070,plain,
( ( e23 != e23 )
<= ( ( h4 @ e10 )
!= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl22672,zip_derived_cl797]) ).
thf('20',plain,
( ( h4 @ e10 )
= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl27070]) ).
thf(zip_derived_cl1875,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
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_cl118,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl778_068,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl24160,plain,
( e11
!= ( op1 @ e10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl778]) ).
thf(zip_derived_cl29440,plain,
( ( e11 != e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1875,zip_derived_cl24160]) ).
thf('21',plain,
( ( op1 @ e10 @ e12 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl29440]) ).
thf(zip_derived_cl2031_069,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
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_cl2019,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl48164_070,plain,
( ( ( h4 @ e13 )
= ( op2 @ e22 @ e23 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2028,zip_derived_cl30300]) ).
thf(zip_derived_cl2028_071,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25795_072,plain,
( ( ( h4 @ e12 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2014,zip_derived_cl795]) ).
thf(zip_derived_cl1877,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl18816,plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1566]) ).
thf(zip_derived_cl797_073,plain,
( ( h4 @ e10 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl43772,plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ e23 @ ( h4 @ e12 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18816,zip_derived_cl797]) ).
thf(zip_derived_cl43774,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e23 @ ( h4 @ e12 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1877,zip_derived_cl43772]) ).
thf(zip_derived_cl44026,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e23 @ ( op2 @ e23 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25795,zip_derived_cl43774]) ).
thf(zip_derived_cl44032,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2028,zip_derived_cl44026]) ).
thf(zip_derived_cl48185,plain,
( ( ( op2 @ e22 @ e23 )
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48164,zip_derived_cl44032]) ).
thf(zip_derived_cl48996,plain,
( ( ( op2 @ e22 @ e23 )
!= e21 )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2019,zip_derived_cl48185]) ).
thf(zip_derived_cl49994,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2031,zip_derived_cl48996]) ).
thf('22',plain,
( ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
| ( ( op1 @ e10 @ e12 )
!= e13 )
| ( ( op2 @ e23 @ e22 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49994]) ).
thf(zip_derived_cl2031_074,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl48164_075,plain,
( ( ( h4 @ e13 )
= ( op2 @ e22 @ e23 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2028,zip_derived_cl30300]) ).
thf(zip_derived_cl1865,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl2014_076,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl18819,plain,
( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1566]) ).
thf(zip_derived_cl796_077,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl796_078,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl43797,plain,
( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18819,zip_derived_cl796,zip_derived_cl796]) ).
thf(zip_derived_cl43798,plain,
( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2014,zip_derived_cl43797]) ).
thf(zip_derived_cl781_079,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl43804,plain,
( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= e21 )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl43798,zip_derived_cl781]) ).
thf(zip_derived_cl43897,plain,
( ( ( h4 @ e13 )
!= e21 )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1865,zip_derived_cl43804]) ).
thf(zip_derived_cl48184,plain,
( ( ( op2 @ e22 @ e23 )
!= e21 )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48164,zip_derived_cl43897]) ).
thf(zip_derived_cl48986,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2031,zip_derived_cl48184]) ).
thf('23',plain,
( ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
| ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl48986]) ).
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_cl2058,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2031_080,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl48164_081,plain,
( ( ( h4 @ e13 )
= ( op2 @ e22 @ e23 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2028,zip_derived_cl30300]) ).
thf(zip_derived_cl1831,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl2014_082,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl18827,plain,
( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1566]) ).
thf(zip_derived_cl796_083,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl43871,plain,
( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( op2 @ e23 @ e23 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18827,zip_derived_cl796]) ).
thf(zip_derived_cl43872,plain,
( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2014,zip_derived_cl43871]) ).
thf(zip_derived_cl44165,plain,
( ( ( h4 @ e11 )
!= ( op2 @ ( h4 @ e13 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1831,zip_derived_cl43872]) ).
thf(zip_derived_cl796_084,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2014_085,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl44168,plain,
( ( e20
!= ( op2 @ ( h4 @ e13 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44165,zip_derived_cl796,zip_derived_cl2014]) ).
thf(zip_derived_cl48200,plain,
( ( e20
!= ( op2 @ ( op2 @ e22 @ e23 ) @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48164,zip_derived_cl44168]) ).
thf(zip_derived_cl49206,plain,
( ( e20
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2031,zip_derived_cl48200]) ).
thf(zip_derived_cl50009,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2058,zip_derived_cl49206]) ).
thf('24',plain,
( ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
| ( ( op1 @ e13 @ e11 )
!= e11 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl50009]) ).
thf(zip_derived_cl2026,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl2014_086,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl147,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25791,plain,
( ( ( op2 @ e23 @ e20 )
!= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2014,zip_derived_cl147]) ).
thf(zip_derived_cl28347,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2026,zip_derived_cl25791]) ).
thf('25',plain,
( ( ( op2 @ e23 @ e20 )
!= e20 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28347]) ).
thf(zip_derived_cl2053_087,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2031_088,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl48164_089,plain,
( ( ( h4 @ e13 )
= ( op2 @ e22 @ e23 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2028,zip_derived_cl30300]) ).
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_cl1826,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl2028_090,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25795_091,plain,
( ( ( h4 @ e12 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2014,zip_derived_cl795]) ).
thf(zip_derived_cl18828,plain,
( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1566]) ).
thf(zip_derived_cl43878,plain,
( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( op2 @ e23 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25795,zip_derived_cl18828]) ).
thf(zip_derived_cl44429,plain,
( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2028,zip_derived_cl43878]) ).
thf(zip_derived_cl44431,plain,
( ( ( h4 @ e10 )
!= ( op2 @ ( h4 @ e13 ) @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1826,zip_derived_cl44429]) ).
thf(zip_derived_cl797_092,plain,
( ( h4 @ e10 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl44435,plain,
( ( e23
!= ( op2 @ ( h4 @ e13 ) @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44431,zip_derived_cl797]) ).
thf(zip_derived_cl48221,plain,
( ( e23
!= ( op2 @ ( op2 @ e22 @ e23 ) @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48164,zip_derived_cl44435]) ).
thf(zip_derived_cl49370,plain,
( ( e23
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2031,zip_derived_cl48221]) ).
thf(zip_derived_cl50027,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2053,zip_derived_cl49370]) ).
thf('26',plain,
( ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
| ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl50027]) ).
thf(zip_derived_cl2025_093,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl2031_094,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl48164_095,plain,
( ( ( h4 @ e13 )
= ( op2 @ e22 @ e23 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2028,zip_derived_cl30300]) ).
thf(zip_derived_cl1870,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl18817,plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1566]) ).
thf(zip_derived_cl797_096,plain,
( ( h4 @ e10 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl43784,plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ e23 @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18817,zip_derived_cl797]) ).
thf(zip_derived_cl43785,plain,
( ( ( h4 @ e10 )
!= ( op2 @ e23 @ ( h4 @ e13 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1870,zip_derived_cl43784]) ).
thf(zip_derived_cl797_097,plain,
( ( h4 @ e10 )
= e23 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl43787,plain,
( ( e23
!= ( op2 @ e23 @ ( h4 @ e13 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl43785,zip_derived_cl797]) ).
thf(zip_derived_cl48175,plain,
( ( e23
!= ( op2 @ e23 @ ( op2 @ e22 @ e23 ) ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48164,zip_derived_cl43787]) ).
thf(zip_derived_cl48954,plain,
( ( e23
!= ( op2 @ e23 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2031,zip_derived_cl48175]) ).
thf(zip_derived_cl49981,plain,
( ( e23 != e23 )
<= ( ( ( h4 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2025,zip_derived_cl48954]) ).
thf('27',plain,
( ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
| ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op2 @ e23 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49981]) ).
thf('28',plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1856_098,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1840,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl122,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24495,plain,
( ( ( op1 @ e11 @ e13 )
!= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1840,zip_derived_cl122]) ).
thf(zip_derived_cl27979,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1856,zip_derived_cl24495]) ).
thf('29',plain,
( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e11 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27979]) ).
thf(zip_derived_cl1833_099,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1825,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl97,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24318,plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1825,zip_derived_cl97]) ).
thf(zip_derived_cl27692,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1833,zip_derived_cl24318]) ).
thf('30',plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27692]) ).
thf(zip_derived_cl2055_100,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1825_101,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl2031_102,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl48164_103,plain,
( ( ( h4 @ e13 )
= ( op2 @ e22 @ e23 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2028,zip_derived_cl30300]) ).
thf(zip_derived_cl18829,plain,
( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
<= ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1566]) ).
thf(zip_derived_cl48167,plain,
( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( op2 @ e22 @ e23 ) @ ( op2 @ e22 @ e23 ) ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48164,zip_derived_cl18829]) ).
thf(zip_derived_cl48370,plain,
( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2031,zip_derived_cl48167]) ).
thf(zip_derived_cl49451,plain,
( ( ( h4 @ e13 )
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1825,zip_derived_cl48370]) ).
thf(zip_derived_cl48164_104,plain,
( ( ( h4 @ e13 )
= ( op2 @ e22 @ e23 ) )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2028,zip_derived_cl30300]) ).
thf(zip_derived_cl2031_105,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl49453,plain,
( ( e21
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49451,zip_derived_cl48164,zip_derived_cl2031]) ).
thf(zip_derived_cl50114,plain,
( ( e21 != e21 )
<= ( ( ( h4 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2055,zip_derived_cl49453]) ).
thf('31',plain,
( ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
| ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl50114]) ).
thf(zip_derived_cl2027,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl189,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl781_106,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24172,plain,
( e21
!= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl189,zip_derived_cl781]) ).
thf(zip_derived_cl29590,plain,
( ( e21 != e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2027,zip_derived_cl24172]) ).
thf('32',plain,
( ( op2 @ e23 @ e20 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl29590]) ).
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_cl2072,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl2024,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl183,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25930,plain,
( ( ( op2 @ e20 @ e21 )
!= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2024,zip_derived_cl183]) ).
thf(zip_derived_cl28582,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e20 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2072,zip_derived_cl25930]) ).
thf('33',plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op2 @ e20 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28582]) ).
thf(zip_derived_cl2061,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
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_cl2045,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
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_cl26142,plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2045,zip_derived_cl188]) ).
thf(zip_derived_cl28882,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e20 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2061,zip_derived_cl26142]) ).
thf('34',plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28882]) ).
thf(zip_derived_cl2036_107,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2032,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_cl25997,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2032,zip_derived_cl150]) ).
thf(zip_derived_cl28696,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2036,zip_derived_cl25997]) ).
thf('35',plain,
( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28696]) ).
thf(zip_derived_cl2025_108,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl2021,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_cl25890,plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2021,zip_derived_cl146]) ).
thf(zip_derived_cl28506,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e22 )
= e23 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2025,zip_derived_cl25890]) ).
thf('36',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28506]) ).
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_cl1880,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl3455,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_cl798]) ).
thf(zip_derived_cl785_109,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl24194_110,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl784,zip_derived_cl781]) ).
thf(zip_derived_cl29151,plain,
( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ e20 @ e21 ) )
<= ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3455,zip_derived_cl785,zip_derived_cl24194]) ).
thf(zip_derived_cl29154,plain,
( ( ( h1 @ e12 )
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1880,zip_derived_cl29151]) ).
thf(zip_derived_cl24186_111,plain,
( ( h1 @ e12 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl783,zip_derived_cl781]) ).
thf(zip_derived_cl29158,plain,
( ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e10 @ e11 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29154,zip_derived_cl24186]) ).
thf('37',plain,
( ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
| ( ( op1 @ e10 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29158]) ).
thf(zip_derived_cl785_112,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl3470,plain,
( ( ( h1 @ e10 )
!= e20 )
<= ( ( h1 @ e10 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl798]) ).
thf(zip_derived_cl23938,plain,
( ( e20 != e20 )
<= ( ( h1 @ e10 )
!= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl785,zip_derived_cl3470]) ).
thf('38',plain,
( ( h1 @ e10 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl23938]) ).
thf(zip_derived_cl24194_113,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl784,zip_derived_cl781]) ).
thf(zip_derived_cl806,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_cl3632,plain,
( ( ( h1 @ e11 )
!= e21 )
<= ( ( h1 @ e11 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl806]) ).
thf(zip_derived_cl24196,plain,
( ( e21 != e21 )
<= ( ( h1 @ e11 )
!= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24194,zip_derived_cl3632]) ).
thf('39',plain,
( ( h1 @ e11 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl24196]) ).
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_cl1853,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl3462,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_cl798]) ).
thf(zip_derived_cl24186_114,plain,
( ( h1 @ e12 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl783,zip_derived_cl781]) ).
thf(zip_derived_cl785_115,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl24180_116,plain,
( ( h1 @ e13 )
= ( op2 @ ( op2 @ e20 @ e21 ) @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl782,zip_derived_cl781]) ).
thf(zip_derived_cl29206,plain,
( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( h1 @ e13 ) )
<= ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3462,zip_derived_cl24186,zip_derived_cl785,zip_derived_cl24180]) ).
thf(zip_derived_cl29210,plain,
( ( ( h1 @ e13 )
!= ( h1 @ e13 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1853,zip_derived_cl29206]) ).
thf('40',plain,
( ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29210]) ).
thf(zip_derived_cl3454,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_cl798]) ).
thf(zip_derived_cl778_117,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl24194_118,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl784,zip_derived_cl781]) ).
thf(zip_derived_cl785_119,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl785_120,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl781_121,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl29149,plain,
( ( e21 != e21 )
<= ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3454,zip_derived_cl778,zip_derived_cl24194,zip_derived_cl785,zip_derived_cl785,zip_derived_cl781]) ).
thf('41',plain,
( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl29149]) ).
thf(zip_derived_cl2072_122,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl958,plain,
( ( ( h1 @ e11 )
!= 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_cl6672,plain,
( ( ( h1 @ e12 )
!= e22 )
<= ( ( h1 @ e12 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl24186_123,plain,
( ( h1 @ e12 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl783,zip_derived_cl781]) ).
thf(zip_derived_cl24202,plain,
( ( ( op2 @ e20 @ e21 )
!= e22 )
<= ( ( h1 @ e12 )
!= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl6672,zip_derived_cl24186]) ).
thf(zip_derived_cl26451,plain,
( ( e22 != e22 )
<= ( ( ( h1 @ e12 )
!= e22 )
& ( ( op2 @ e20 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2072,zip_derived_cl24202]) ).
thf('42',plain,
( ( ( h1 @ e12 )
= e22 )
| ( ( op2 @ e20 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26451]) ).
thf(zip_derived_cl29607_124,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl24180,zip_derived_cl24175,zip_derived_cl24168]) ).
thf(zip_derived_cl3473,plain,
( ( ( h1 @ e13 )
!= e23 )
<= ( ( h1 @ e13 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl798]) ).
thf(zip_derived_cl29673,plain,
( ( e23 != e23 )
<= ( ( h1 @ e13 )
!= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29607,zip_derived_cl3473]) ).
thf('43',plain,
( ( h1 @ e13 )
= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl29673]) ).
thf(zip_derived_cl2023,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1831_125,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl29743_126,plain,
( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ e23 @ e21 ) )
<= ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3647,zip_derived_cl29607,zip_derived_cl24194]) ).
thf(zip_derived_cl29745,plain,
( ( ( h1 @ e11 )
!= ( op2 @ e23 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1831,zip_derived_cl29743]) ).
thf(zip_derived_cl24194_127,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl784,zip_derived_cl781]) ).
thf(zip_derived_cl29748,plain,
( ( e21
!= ( op2 @ e23 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29745,zip_derived_cl24194]) ).
thf(zip_derived_cl30061,plain,
( ( e21 != e21 )
<= ( ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2023,zip_derived_cl29748]) ).
thf('44',plain,
( ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
| ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30061]) ).
thf(zip_derived_cl2058_128,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl1866_129,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl3458,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_cl798]) ).
thf(zip_derived_cl24194_130,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl784,zip_derived_cl781]) ).
thf(zip_derived_cl785_131,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29174,plain,
( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ e21 @ e20 ) )
<= ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3458,zip_derived_cl24194,zip_derived_cl785]) ).
thf(zip_derived_cl29175,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1866,zip_derived_cl29174]) ).
thf(zip_derived_cl785_132,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29179,plain,
( ( e20
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29175,zip_derived_cl785]) ).
thf(zip_derived_cl29740,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op2 @ e21 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2058,zip_derived_cl29179]) ).
thf('45',plain,
( ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
| ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29740]) ).
thf(zip_derived_cl2051,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl1859,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl29768_133,plain,
( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ e21 @ e22 ) )
<= ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3660,zip_derived_cl24194,zip_derived_cl29608]) ).
thf(zip_derived_cl29770,plain,
( ( ( h1 @ e11 )
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1859,zip_derived_cl29768]) ).
thf(zip_derived_cl24194_134,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl784,zip_derived_cl781]) ).
thf(zip_derived_cl29774,plain,
( ( e21
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29770,zip_derived_cl24194]) ).
thf(zip_derived_cl30116,plain,
( ( e21 != e21 )
<= ( ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2051,zip_derived_cl29774]) ).
thf('46',plain,
( ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
| ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30116]) ).
thf(zip_derived_cl2028_135,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1836_136,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl3646,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_cl807]) ).
thf(zip_derived_cl29607_137,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl24180,zip_derived_cl24175,zip_derived_cl24168]) ).
thf(zip_derived_cl785_138,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29735,plain,
( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ e23 @ e20 ) )
<= ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3646,zip_derived_cl29607,zip_derived_cl785]) ).
thf(zip_derived_cl29737,plain,
( ( ( h1 @ e12 )
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1836,zip_derived_cl29735]) ).
thf(zip_derived_cl29608_139,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl24186,zip_derived_cl24175]) ).
thf(zip_derived_cl29739,plain,
( ( e22
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29737,zip_derived_cl29608]) ).
thf(zip_derived_cl30048,plain,
( ( e22 != e22 )
<= ( ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2028,zip_derived_cl29739]) ).
thf('47',plain,
( ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
| ( ( op1 @ e13 @ e10 )
!= e12 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30048]) ).
thf(zip_derived_cl2038_140,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1846_141,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl3643,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_cl807]) ).
thf(zip_derived_cl29608_142,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl24186,zip_derived_cl24175]) ).
thf(zip_derived_cl24194_143,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl784,zip_derived_cl781]) ).
thf(zip_derived_cl29707,plain,
( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ e22 @ e21 ) )
<= ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3643,zip_derived_cl29608,zip_derived_cl24194]) ).
thf(zip_derived_cl29708,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e22 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1846,zip_derived_cl29707]) ).
thf(zip_derived_cl785_144,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29710,plain,
( ( e20
!= ( op2 @ e22 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29708,zip_derived_cl785]) ).
thf(zip_derived_cl29945,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op2 @ e22 @ e21 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2038,zip_derived_cl29710]) ).
thf('48',plain,
( ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
| ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29945]) ).
thf(zip_derived_cl1846_145,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1830,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
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_cl24380,plain,
( ( ( op1 @ e12 @ e11 )
!= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1830,zip_derived_cl132]) ).
thf(zip_derived_cl27806,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1846,zip_derived_cl24380]) ).
thf('49',plain,
( ( ( op1 @ e13 @ e11 )
!= e10 )
| ( ( op1 @ e12 @ e11 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27806]) ).
thf('50',plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1869,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1853_146,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl140,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24670,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1853,zip_derived_cl140]) ).
thf(zip_derived_cl28109,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e10 )
= e13 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1869,zip_derived_cl24670]) ).
thf('51',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28109]) ).
thf(zip_derived_cl2031_147,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1839_148,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl29607_149,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl24180,zip_derived_cl24175,zip_derived_cl24168]) ).
thf(zip_derived_cl3465,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_cl798]) ).
thf(zip_derived_cl24186_150,plain,
( ( h1 @ e12 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl783,zip_derived_cl781]) ).
thf(zip_derived_cl29234,plain,
( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( op2 @ e20 @ e21 ) @ ( h1 @ e13 ) ) )
<= ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3465,zip_derived_cl24186]) ).
thf(zip_derived_cl29676,plain,
( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( op2 @ e20 @ e21 ) @ e23 ) )
<= ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29607,zip_derived_cl29234]) ).
thf(zip_derived_cl24175_151,plain,
( e22
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl780,zip_derived_cl781]) ).
thf(zip_derived_cl29679,plain,
( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ e22 @ e23 ) )
<= ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29676,zip_derived_cl24175]) ).
thf(zip_derived_cl29717,plain,
( ( ( h1 @ e11 )
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1839,zip_derived_cl29679]) ).
thf(zip_derived_cl24194_152,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl784,zip_derived_cl781]) ).
thf(zip_derived_cl29720,plain,
( ( e21
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29717,zip_derived_cl24194]) ).
thf(zip_derived_cl29987,plain,
( ( e21 != e21 )
<= ( ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2031,zip_derived_cl29720]) ).
thf('52',plain,
( ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
| ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29987]) ).
thf(zip_derived_cl1847,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1839_153,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
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_cl24479,plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1839,zip_derived_cl103]) ).
thf(zip_derived_cl27945,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1847,zip_derived_cl24479]) ).
thf('53',plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ e12 @ e13 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27945]) ).
thf(zip_derived_cl2048_154,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1856_155,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl3641,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_cl807]) ).
thf(zip_derived_cl24194_156,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl784,zip_derived_cl781]) ).
thf(zip_derived_cl29607_157,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl24180,zip_derived_cl24175,zip_derived_cl24168]) ).
thf(zip_derived_cl29690,plain,
( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ e21 @ e23 ) )
<= ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3641,zip_derived_cl24194,zip_derived_cl29607]) ).
thf(zip_derived_cl29693,plain,
( ( ( h1 @ e12 )
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1856,zip_derived_cl29690]) ).
thf(zip_derived_cl29608_158,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl24186,zip_derived_cl24175]) ).
thf(zip_derived_cl30160,plain,
( ( e22
!= ( op2 @ e21 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29693,zip_derived_cl29608]) ).
thf(zip_derived_cl30163,plain,
( ( e22 != e22 )
<= ( ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2048,zip_derived_cl30160]) ).
thf('54',plain,
( ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
| ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30163]) ).
thf(zip_derived_cl1868,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1856_159,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl111,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24710,plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1856,zip_derived_cl111]) ).
thf(zip_derived_cl28161,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1868,zip_derived_cl24710]) ).
thf('55',plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
| ( ( op1 @ e11 @ e13 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28161]) ).
thf(zip_derived_cl2036_160,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1844_161,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl24175_162,plain,
( e22
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl780,zip_derived_cl781]) ).
thf(zip_derived_cl3464,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_cl798]) ).
thf(zip_derived_cl24186_163,plain,
( ( h1 @ e12 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl783,zip_derived_cl781]) ).
thf(zip_derived_cl24186_164,plain,
( ( h1 @ e12 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl783,zip_derived_cl781]) ).
thf(zip_derived_cl29223,plain,
( ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( op2 @ e20 @ e21 ) @ ( op2 @ e20 @ e21 ) ) )
<= ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3464,zip_derived_cl24186,zip_derived_cl24186]) ).
thf(zip_derived_cl29629,plain,
( ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ e22 @ e22 ) )
<= ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24175,zip_derived_cl29223]) ).
thf(zip_derived_cl29699,plain,
( ( ( h1 @ e12 )
!= ( op2 @ e22 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1844,zip_derived_cl29629]) ).
thf(zip_derived_cl29608_165,plain,
( ( h1 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl24186,zip_derived_cl24175]) ).
thf(zip_derived_cl30171,plain,
( ( e22
!= ( op2 @ e22 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29699,zip_derived_cl29608]) ).
thf(zip_derived_cl30174,plain,
( ( e22 != e22 )
<= ( ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2036,zip_derived_cl30171]) ).
thf('56',plain,
( ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
| ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30174]) ).
thf(zip_derived_cl1844_166,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1828,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
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_cl24356,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1828,zip_derived_cl126]) ).
thf(zip_derived_cl27768,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1844,zip_derived_cl24356]) ).
thf('57',plain,
( ( ( op1 @ e13 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27768]) ).
thf('58',plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1844_167,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1840_168,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_cl24492,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1840,zip_derived_cl102]) ).
thf(zip_derived_cl27964,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1844,zip_derived_cl24492]) ).
thf('59',plain,
( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27964]) ).
thf(zip_derived_cl2062_169,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1870_170,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl29761_171,plain,
( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ e20 @ e23 ) )
<= ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3657,zip_derived_cl785,zip_derived_cl29607]) ).
thf(zip_derived_cl29762,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1870,zip_derived_cl29761]) ).
thf(zip_derived_cl785_172,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29764,plain,
( ( e20
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29762,zip_derived_cl785]) ).
thf(zip_derived_cl30092,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2062,zip_derived_cl29764]) ).
thf('60',plain,
( ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
| ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30092]) ).
thf(zip_derived_cl1870_173,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1838,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl124,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24471,plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1838,zip_derived_cl124]) ).
thf(zip_derived_cl27940,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1870,zip_derived_cl24471]) ).
thf('61',plain,
( ( ( op1 @ e12 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27940]) ).
thf(zip_derived_cl2069,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1877_174,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl29756_175,plain,
( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ e20 @ e22 ) )
<= ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3656,zip_derived_cl785,zip_derived_cl29608]) ).
thf(zip_derived_cl29758,plain,
( ( ( h1 @ e13 )
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1877,zip_derived_cl29756]) ).
thf(zip_derived_cl29607_176,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl24180,zip_derived_cl24175,zip_derived_cl24168]) ).
thf(zip_derived_cl29760,plain,
( ( e23
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29758,zip_derived_cl29607]) ).
thf(zip_derived_cl30084,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e13 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2069,zip_derived_cl29760]) ).
thf('62',plain,
( ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
| ( ( op2 @ e20 @ e22 )
!= e23 )
| ( ( op1 @ e10 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30084]) ).
thf(zip_derived_cl2017,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1825_177,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl29670_178,plain,
( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ e23 @ e23 ) )
<= ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29607,zip_derived_cl3469]) ).
thf(zip_derived_cl29713,plain,
( ( ( h1 @ e13 )
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1825,zip_derived_cl29670]) ).
thf(zip_derived_cl29607_179,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl24180,zip_derived_cl24175,zip_derived_cl24168]) ).
thf(zip_derived_cl29715,plain,
( ( e23
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29713,zip_derived_cl29607]) ).
thf(zip_derived_cl29969,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2017,zip_derived_cl29715]) ).
thf('63',plain,
( ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
| ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29969]) ).
thf(zip_derived_cl1873_180,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1825_181,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl123,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24322,plain,
( ( ( op1 @ e10 @ e13 )
!= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1825,zip_derived_cl123]) ).
thf(zip_derived_cl27709,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1873,zip_derived_cl24322]) ).
thf('64',plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27709]) ).
thf(zip_derived_cl1865_182,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1861_183,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl110,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24779,plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1861,zip_derived_cl110]) ).
thf(zip_derived_cl28235,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1865,zip_derived_cl24779]) ).
thf('65',plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28235]) ).
thf(zip_derived_cl2057,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1865_184,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl29182_185,plain,
( ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ e21 @ e21 ) )
<= ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3459,zip_derived_cl24194,zip_derived_cl24194]) ).
thf(zip_derived_cl29186,plain,
( ( ( h1 @ e13 )
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1865,zip_derived_cl29182]) ).
thf(zip_derived_cl29607_186,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl24180,zip_derived_cl24175,zip_derived_cl24168]) ).
thf(zip_derived_cl30148,plain,
( ( e23
!= ( op2 @ e21 @ e21 ) )
<= ( ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29186,zip_derived_cl29607]) ).
thf(zip_derived_cl30151,plain,
( ( e23 != e23 )
<= ( ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2057,zip_derived_cl30148]) ).
thf('66',plain,
( ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
| ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30151]) ).
thf('67',plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1866_187,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1862,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_cl24795,plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1862,zip_derived_cl113]) ).
thf(zip_derived_cl28247,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1866,zip_derived_cl24795]) ).
thf('68',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28247]) ).
thf(ax10,axiom,
( ( ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ) )
| ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ) )
| ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( ( op1 @ e10 @ e10 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
= e13 ) ) )
| ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
= e11 ) )
& ( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 ) ) ) )
& ( ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 ) )
| ( ( ( op1 @ e10 @ 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 ) ) ) ) ).
thf(zf_stmt_1,axiom,
( zip_tseitin_23
=> ( ( ( op1 @ e13 @ e10 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ) ).
thf(zip_derived_cl318,plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('69',plain,
( ~ zip_tseitin_23
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl318]) ).
thf(zf_stmt_2,axiom,
( zip_tseitin_53
=> ( ( ( op1 @ e11 @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e13 )
!= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ) ).
thf(zip_derived_cl438,plain,
( ( ( op1 @ e13 @ e13 )
!= e10 )
| ~ zip_tseitin_53 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('70',plain,
( ~ zip_tseitin_53
| ( ( op1 @ e13 @ e13 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl438]) ).
thf(zf_stmt_3,axiom,
( zip_tseitin_51
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ) ).
thf(zip_derived_cl431,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ~ zip_tseitin_51 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('71',plain,
( ~ zip_tseitin_51
| ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl431]) ).
thf(zip_derived_cl1054,plain,
( ( ( h2 @ e13 )
!= e23 )
| ( ( h2 @ e10 )
!= e22 )
| ( ( h2 @ e13 )
!= e21 )
| ( ( h2 @ e10 )
!= e20 )
| ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8575,plain,
( ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
<= ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1054]) ).
thf(zip_derived_cl24165_188,plain,
( e12
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl777,zip_derived_cl778]) ).
thf(ax15,axiom,
( ( ( h2 @ e13 )
= ( op2 @ ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) @ e21 ) )
& ( ( h2 @ e12 )
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) )
& ( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) )
& ( ( h2 @ e10 )
= e21 ) ) ).
thf(zip_derived_cl789,plain,
( ( h2 @ e10 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl788,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl787,plain,
( ( h2 @ e12 )
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl34801,plain,
( ( ( h2 @ e12 )
!= ( h2 @ e12 ) )
<= ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8575,zip_derived_cl24165,zip_derived_cl789,zip_derived_cl788,zip_derived_cl787]) ).
thf('72',plain,
( ( h2 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl34801]) ).
thf(zip_derived_cl8582,plain,
( ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
<= ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1054]) ).
thf(zip_derived_cl24158_189,plain,
( e13
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl776,zip_derived_cl777]) ).
thf(zip_derived_cl789_190,plain,
( ( h2 @ e10 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl786,plain,
( ( h2 @ e13 )
= ( op2 @ ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl787_191,plain,
( ( h2 @ e12 )
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl24208,plain,
( ( h2 @ e13 )
= ( op2 @ ( h2 @ e12 ) @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl786,zip_derived_cl787]) ).
thf(zip_derived_cl34859,plain,
( ( ( h2 @ e13 )
!= ( h2 @ e13 ) )
<= ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8582,zip_derived_cl24158,zip_derived_cl789,zip_derived_cl24208]) ).
thf('73',plain,
( ( h2 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl34859]) ).
thf(zip_derived_cl8574,plain,
( ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) )
<= ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1054]) ).
thf(zip_derived_cl778_192,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl788_193,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl789_194,plain,
( ( h2 @ e10 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl789_195,plain,
( ( h2 @ e10 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl34799,plain,
( ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e21 ) )
<= ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8574,zip_derived_cl778,zip_derived_cl788,zip_derived_cl789,zip_derived_cl789]) ).
thf('74',plain,
( ( h2 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl34799]) ).
thf(zip_derived_cl1066,plain,
( ( ( h2 @ e13 )
!= e23 )
| ( ( h2 @ e10 )
!= e22 )
| ( ( h2 @ e10 )
!= e21 )
| ( ( h2 @ e10 )
!= e20 )
| ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8831,plain,
( ( ( h2 @ e10 )
!= e21 )
<= ( ( h2 @ e10 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl1066]) ).
thf(zip_derived_cl789_196,plain,
( ( h2 @ e10 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl25094,plain,
( ( e21 != e21 )
<= ( ( h2 @ e10 )
!= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl8831,zip_derived_cl789]) ).
thf('75',plain,
( ( h2 @ e10 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl25094]) ).
thf(zip_derived_cl2038_197,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2018,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl2048_198,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2057_199,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl787_200,plain,
( ( h2 @ e12 )
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl26312,plain,
( ( ( h2 @ e12 )
= ( op2 @ e21 @ e23 ) )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2057,zip_derived_cl787]) ).
thf(zip_derived_cl24208_201,plain,
( ( h2 @ e13 )
= ( op2 @ ( h2 @ e12 ) @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl786,zip_derived_cl787]) ).
thf(zip_derived_cl30417,plain,
( ( ( h2 @ e13 )
= ( op2 @ ( op2 @ e21 @ e23 ) @ e21 ) )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26312,zip_derived_cl24208]) ).
thf(zip_derived_cl48263,plain,
( ( ( h2 @ e13 )
= ( op2 @ e22 @ e21 ) )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2048,zip_derived_cl30417]) ).
thf(zip_derived_cl2048_202,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1861_203,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl26312_204,plain,
( ( ( h2 @ e12 )
= ( op2 @ e21 @ e23 ) )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2057,zip_derived_cl787]) ).
thf(zip_derived_cl8580,plain,
( ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
<= ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1054]) ).
thf(zip_derived_cl788_205,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl34834,plain,
( ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( op2 @ e21 @ e21 ) @ ( h2 @ e12 ) ) )
<= ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8580,zip_derived_cl788]) ).
thf(zip_derived_cl34837,plain,
( ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e23 ) ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26312,zip_derived_cl34834]) ).
thf(zip_derived_cl2057_206,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl34843,plain,
( ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ e23 @ ( op2 @ e21 @ e23 ) ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34837,zip_derived_cl2057]) ).
thf(zip_derived_cl35277,plain,
( ( ( h2 @ e13 )
!= ( op2 @ e23 @ ( op2 @ e21 @ e23 ) ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1861,zip_derived_cl34843]) ).
thf(zip_derived_cl35328,plain,
( ( ( h2 @ e13 )
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2048,zip_derived_cl35277]) ).
thf(zip_derived_cl48904,plain,
( ( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48263,zip_derived_cl35328]) ).
thf(zip_derived_cl49602,plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
<= ( ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2018,zip_derived_cl48904]) ).
thf(zip_derived_cl50166,plain,
( ( e20 != e20 )
<= ( ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2038,zip_derived_cl49602]) ).
thf('76',plain,
( ( ( h2 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
| ( ( op1 @ e11 @ e12 )
!= e13 )
| ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl50166]) ).
thf(zip_derived_cl2058_207,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2038_208,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl48263_209,plain,
( ( ( h2 @ e13 )
= ( op2 @ e22 @ e21 ) )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2048,zip_derived_cl30417]) ).
thf(zip_derived_cl1873_210,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl8577,plain,
( ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
<= ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1054]) ).
thf(zip_derived_cl789_211,plain,
( ( h2 @ e10 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl34815,plain,
( ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ e21 @ ( h2 @ e13 ) ) )
<= ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8577,zip_derived_cl789]) ).
thf(zip_derived_cl34817,plain,
( ( ( h2 @ e13 )
!= ( op2 @ e21 @ ( h2 @ e13 ) ) )
<= ( ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1873,zip_derived_cl34815]) ).
thf(zip_derived_cl48871,plain,
( ( ( op2 @ e22 @ e21 )
!= ( op2 @ e21 @ ( op2 @ e22 @ e21 ) ) )
<= ( ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48263,zip_derived_cl34817]) ).
thf(zip_derived_cl50093,plain,
( ( e20
!= ( op2 @ e21 @ e20 ) )
<= ( ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2038,zip_derived_cl48871]) ).
thf(zip_derived_cl50365,plain,
( ( e20 != e20 )
<= ( ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2058,zip_derived_cl50093]) ).
thf('77',plain,
( ( ( h2 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
| ( ( op1 @ e10 @ e13 )
!= e13 )
| ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl50365]) ).
thf(zip_derived_cl2051_212,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2048_213,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26312_214,plain,
( ( ( h2 @ e12 )
= ( op2 @ e21 @ e23 ) )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2057,zip_derived_cl787]) ).
thf(zip_derived_cl1874_215,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl8576,plain,
( ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
<= ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1054]) ).
thf(zip_derived_cl789_216,plain,
( ( h2 @ e10 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl34803,plain,
( ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ e21 @ ( h2 @ e12 ) ) )
<= ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8576,zip_derived_cl789]) ).
thf(zip_derived_cl34804,plain,
( ( ( h2 @ e10 )
!= ( op2 @ e21 @ ( h2 @ e12 ) ) )
<= ( ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1874,zip_derived_cl34803]) ).
thf(zip_derived_cl789_217,plain,
( ( h2 @ e10 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl34806,plain,
( ( e21
!= ( op2 @ e21 @ ( h2 @ e12 ) ) )
<= ( ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34804,zip_derived_cl789]) ).
thf(zip_derived_cl34809,plain,
( ( e21
!= ( op2 @ e21 @ ( op2 @ e21 @ e23 ) ) )
<= ( ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26312,zip_derived_cl34806]) ).
thf(zip_derived_cl34897,plain,
( ( e21
!= ( op2 @ e21 @ e22 ) )
<= ( ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2048,zip_derived_cl34809]) ).
thf(zip_derived_cl34909,plain,
( ( e21 != e21 )
<= ( ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2051,zip_derived_cl34897]) ).
thf('78',plain,
( ( ( h2 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
| ( ( op1 @ e10 @ e12 )
!= e10 )
| ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl34909]) ).
thf(zip_derived_cl2028_218,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl2038_219,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl48263_220,plain,
( ( ( h2 @ e13 )
= ( op2 @ e22 @ e21 ) )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2048,zip_derived_cl30417]) ).
thf(zip_derived_cl1856_221,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl2057_222,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl8581,plain,
( ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
<= ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1054]) ).
thf(zip_derived_cl788_223,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl34847,plain,
( ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( op2 @ e21 @ e21 ) @ ( h2 @ e13 ) ) )
<= ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8581,zip_derived_cl788]) ).
thf(zip_derived_cl34851,plain,
( ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ e23 @ ( h2 @ e13 ) ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2057,zip_derived_cl34847]) ).
thf(zip_derived_cl35191,plain,
( ( ( h2 @ e12 )
!= ( op2 @ e23 @ ( h2 @ e13 ) ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1856,zip_derived_cl34851]) ).
thf(zip_derived_cl26312_224,plain,
( ( ( h2 @ e12 )
= ( op2 @ e21 @ e23 ) )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2057,zip_derived_cl787]) ).
thf(zip_derived_cl35195,plain,
( ( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ ( h2 @ e13 ) ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35191,zip_derived_cl26312]) ).
thf(zip_derived_cl48894,plain,
( ( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ ( op2 @ e22 @ e21 ) ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48263,zip_derived_cl35195]) ).
thf(zip_derived_cl2048_225,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl48944,plain,
( ( e22
!= ( op2 @ e23 @ ( op2 @ e22 @ e21 ) ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48894,zip_derived_cl2048]) ).
thf(zip_derived_cl49951,plain,
( ( e22
!= ( op2 @ e23 @ e20 ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2038,zip_derived_cl48944]) ).
thf(zip_derived_cl50309,plain,
( ( e22 != e22 )
<= ( ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2028,zip_derived_cl49951]) ).
thf('79',plain,
( ( ( h2 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
| ( ( op1 @ e11 @ e13 )
!= e12 )
| ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl50309]) ).
thf(zip_derived_cl2036_226,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1844_227,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl2048_228,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26312_229,plain,
( ( ( h2 @ e12 )
= ( op2 @ e21 @ e23 ) )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2057,zip_derived_cl787]) ).
thf(zip_derived_cl8584,plain,
( ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
<= ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1054]) ).
thf(zip_derived_cl34879,plain,
( ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26312,zip_derived_cl8584]) ).
thf(zip_derived_cl35620,plain,
( ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ e22 @ e22 ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2048,zip_derived_cl34879]) ).
thf(zip_derived_cl35646,plain,
( ( ( h2 @ e12 )
!= ( op2 @ e22 @ e22 ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1844,zip_derived_cl35620]) ).
thf(zip_derived_cl26312_230,plain,
( ( ( h2 @ e12 )
= ( op2 @ e21 @ e23 ) )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2057,zip_derived_cl787]) ).
thf(zip_derived_cl2048_231,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl35648,plain,
( ( e22
!= ( op2 @ e22 @ e22 ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35646,zip_derived_cl26312,zip_derived_cl2048]) ).
thf(zip_derived_cl35659,plain,
( ( e22 != e22 )
<= ( ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2036,zip_derived_cl35648]) ).
thf('80',plain,
( ( ( h2 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
| ( ( op1 @ e12 @ e12 )
!= e12 )
| ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl35659]) ).
thf('81',plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl2038_232,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl48263_233,plain,
( ( ( h2 @ e13 )
= ( op2 @ e22 @ e21 ) )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2048,zip_derived_cl30417]) ).
thf(zip_derived_cl1836_234,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl8586,plain,
( ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
<= ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1054]) ).
thf(zip_derived_cl789_235,plain,
( ( h2 @ e10 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl34891,plain,
( ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ e21 ) )
<= ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8586,zip_derived_cl789]) ).
thf(zip_derived_cl34893,plain,
( ( ( h2 @ e12 )
!= ( op2 @ ( h2 @ e13 ) @ e21 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1836,zip_derived_cl34891]) ).
thf(zip_derived_cl48876,plain,
( ( ( h2 @ e12 )
!= ( op2 @ ( op2 @ e22 @ e21 ) @ e21 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48263,zip_derived_cl34893]) ).
thf(zip_derived_cl26312_236,plain,
( ( ( h2 @ e12 )
= ( op2 @ e21 @ e23 ) )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2057,zip_derived_cl787]) ).
thf(zip_derived_cl2048_237,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl48941,plain,
( ( e22
!= ( op2 @ ( op2 @ e22 @ e21 ) @ e21 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48876,zip_derived_cl26312,zip_derived_cl2048]) ).
thf(zip_derived_cl49946,plain,
( ( e22
!= ( op2 @ e20 @ e21 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2038,zip_derived_cl48941]) ).
thf(zip_derived_cl24175_238,plain,
( e22
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl780,zip_derived_cl781]) ).
thf(zip_derived_cl49948,plain,
( ( e22 != e22 )
<= ( ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49946,zip_derived_cl24175]) ).
thf('82',plain,
( ( ( h2 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
| ( ( op1 @ e13 @ e10 )
!= e12 )
| ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49948]) ).
thf(zip_derived_cl2023_239,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl2057_240,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1866_241,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl8578,plain,
( ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
<= ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1054]) ).
thf(zip_derived_cl788_242,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl789_243,plain,
( ( h2 @ e10 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl34819,plain,
( ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( op2 @ e21 @ e21 ) @ e21 ) )
<= ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8578,zip_derived_cl788,zip_derived_cl789]) ).
thf(zip_derived_cl34820,plain,
( ( ( h2 @ e10 )
!= ( op2 @ ( op2 @ e21 @ e21 ) @ e21 ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1866,zip_derived_cl34819]) ).
thf(zip_derived_cl789_244,plain,
( ( h2 @ e10 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl34822,plain,
( ( e21
!= ( op2 @ ( op2 @ e21 @ e21 ) @ e21 ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34820,zip_derived_cl789]) ).
thf(zip_derived_cl35101,plain,
( ( e21
!= ( op2 @ e23 @ e21 ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2057,zip_derived_cl34822]) ).
thf(zip_derived_cl35111,plain,
( ( e21 != e21 )
<= ( ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2023,zip_derived_cl35101]) ).
thf('83',plain,
( ( ( h2 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
| ( ( op1 @ e11 @ e10 )
!= e10 )
| ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e21 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl35111]) ).
thf(zip_derived_cl1866_245,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1858,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl112,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24739,plain,
( ( ( op1 @ e11 @ e10 )
!= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1858,zip_derived_cl112]) ).
thf(zip_derived_cl28192,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1866,zip_derived_cl24739]) ).
thf('84',plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28192]) ).
thf(zip_derived_cl1880_246,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1872,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl115,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24914,plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1872,zip_derived_cl115]) ).
thf(zip_derived_cl28304,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1880,zip_derived_cl24914]) ).
thf('85',plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
| ( ( op1 @ e10 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28304]) ).
thf(zip_derived_cl1822_247,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl2038_248,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl48263_249,plain,
( ( ( h2 @ e13 )
= ( op2 @ e22 @ e21 ) )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2048,zip_derived_cl30417]) ).
thf(zip_derived_cl8589,plain,
( ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
<= ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1054]) ).
thf(zip_derived_cl48864,plain,
( ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( op2 @ e22 @ e21 ) @ ( op2 @ e22 @ e21 ) ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48263,zip_derived_cl8589]) ).
thf(zip_derived_cl49361,plain,
( ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ e20 @ e20 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2038,zip_derived_cl48864]) ).
thf(zip_derived_cl781_250,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl49365,plain,
( ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= e21 )
<= ( ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49361,zip_derived_cl781]) ).
thf(zip_derived_cl49640,plain,
( ( ( h2 @ e10 )
!= e21 )
<= ( ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1822,zip_derived_cl49365]) ).
thf(zip_derived_cl789_251,plain,
( ( h2 @ e10 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl49642,plain,
( ( e21 != e21 )
<= ( ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49640,zip_derived_cl789]) ).
thf('86',plain,
( ( ( h2 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
| ( ( op1 @ e13 @ e13 )
!= e10 )
| ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49642]) ).
thf(zip_derived_cl2031_252,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2048_253,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1846_254,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl2057_255,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl8583,plain,
( ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
<= ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1054]) ).
thf(zip_derived_cl788_256,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl34864,plain,
( ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( op2 @ e21 @ e21 ) ) )
<= ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8583,zip_derived_cl788]) ).
thf(zip_derived_cl34867,plain,
( ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2057,zip_derived_cl34864]) ).
thf(zip_derived_cl26312_257,plain,
( ( ( h2 @ e12 )
= ( op2 @ e21 @ e23 ) )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2057,zip_derived_cl787]) ).
thf(zip_derived_cl34873,plain,
( ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( op2 @ e21 @ e23 ) @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34867,zip_derived_cl26312]) ).
thf(zip_derived_cl35384,plain,
( ( ( h2 @ e10 )
!= ( op2 @ ( op2 @ e21 @ e23 ) @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1846,zip_derived_cl34873]) ).
thf(zip_derived_cl789_258,plain,
( ( h2 @ e10 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl35386,plain,
( ( e21
!= ( op2 @ ( op2 @ e21 @ e23 ) @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35384,zip_derived_cl789]) ).
thf(zip_derived_cl35390,plain,
( ( e21
!= ( op2 @ e22 @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2048,zip_derived_cl35386]) ).
thf(zip_derived_cl35401,plain,
( ( e21 != e21 )
<= ( ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2031,zip_derived_cl35390]) ).
thf('87',plain,
( ( ( h2 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
| ( ( op1 @ e12 @ e11 )
!= e10 )
| ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl35401]) ).
thf('88',plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl2069_259,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl2038_260,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl48263_261,plain,
( ( ( h2 @ e13 )
= ( op2 @ e22 @ e21 ) )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2048,zip_derived_cl30417]) ).
thf(zip_derived_cl1827,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl2048_262,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26312_263,plain,
( ( ( h2 @ e12 )
= ( op2 @ e21 @ e23 ) )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2057,zip_derived_cl787]) ).
thf(zip_derived_cl8588,plain,
( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
<= ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1054]) ).
thf(zip_derived_cl34915,plain,
( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( op2 @ e21 @ e23 ) ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26312,zip_derived_cl8588]) ).
thf(zip_derived_cl35528,plain,
( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ e22 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2048,zip_derived_cl34915]) ).
thf(zip_derived_cl35572,plain,
( ( ( h2 @ e11 )
!= ( op2 @ ( h2 @ e13 ) @ e22 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1827,zip_derived_cl35528]) ).
thf(zip_derived_cl788_264,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl2057_265,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl35576,plain,
( ( e23
!= ( op2 @ ( h2 @ e13 ) @ e22 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35572,zip_derived_cl788,zip_derived_cl2057]) ).
thf(zip_derived_cl48931,plain,
( ( e23
!= ( op2 @ ( op2 @ e22 @ e21 ) @ e22 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48263,zip_derived_cl35576]) ).
thf(zip_derived_cl49935,plain,
( ( e23
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2038,zip_derived_cl48931]) ).
thf(zip_derived_cl50301,plain,
( ( e23 != e23 )
<= ( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2069,zip_derived_cl49935]) ).
thf('89',plain,
( ( ( h2 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
| ( ( op1 @ e13 @ e12 )
!= e11 )
| ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e20 @ e22 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl50301]) ).
thf(zip_derived_cl2038_266,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl48263_267,plain,
( ( ( h2 @ e13 )
= ( op2 @ e22 @ e21 ) )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2048,zip_derived_cl30417]) ).
thf(zip_derived_cl1839_268,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl2048_269,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26312_270,plain,
( ( ( h2 @ e12 )
= ( op2 @ e21 @ e23 ) )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2057,zip_derived_cl787]) ).
thf(zip_derived_cl8585,plain,
( ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
<= ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1054]) ).
thf(zip_derived_cl34888,plain,
( ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( op2 @ e21 @ e23 ) @ ( h2 @ e13 ) ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26312,zip_derived_cl8585]) ).
thf(zip_derived_cl35447,plain,
( ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ e22 @ ( h2 @ e13 ) ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2048,zip_derived_cl34888]) ).
thf(zip_derived_cl35484,plain,
( ( ( h2 @ e11 )
!= ( op2 @ e22 @ ( h2 @ e13 ) ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1839,zip_derived_cl35447]) ).
thf(zip_derived_cl788_271,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl2057_272,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl35487,plain,
( ( e23
!= ( op2 @ e22 @ ( h2 @ e13 ) ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35484,zip_derived_cl788,zip_derived_cl2057]) ).
thf(zip_derived_cl48915,plain,
( ( e23
!= ( op2 @ e22 @ ( op2 @ e22 @ e21 ) ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48263,zip_derived_cl35487]) ).
thf(zip_derived_cl49922,plain,
( ( e23
!= ( op2 @ e22 @ e20 ) )
<= ( ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2038,zip_derived_cl48915]) ).
thf(zip_derived_cl24168_273,plain,
( e23
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl779,zip_derived_cl780]) ).
thf(zip_derived_cl49924,plain,
( ( e23 != e23 )
<= ( ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49922,zip_derived_cl24168]) ).
thf('90',plain,
( ( ( h2 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
| ( ( op1 @ e12 @ e13 )
!= e11 )
| ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49924]) ).
thf(zip_derived_cl2062_274,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl2038_275,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl48263_276,plain,
( ( ( h2 @ e13 )
= ( op2 @ e22 @ e21 ) )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2048,zip_derived_cl30417]) ).
thf(zip_derived_cl1833_277,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl2057_278,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl8587,plain,
( ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
<= ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1054]) ).
thf(zip_derived_cl788_279,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl34901,plain,
( ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( op2 @ e21 @ e21 ) ) )
<= ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8587,zip_derived_cl788]) ).
thf(zip_derived_cl34904,plain,
( ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2057,zip_derived_cl34901]) ).
thf(zip_derived_cl35223,plain,
( ( ( h2 @ e13 )
!= ( op2 @ ( h2 @ e13 ) @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1833,zip_derived_cl34904]) ).
thf(zip_derived_cl48898,plain,
( ( ( op2 @ e22 @ e21 )
!= ( op2 @ ( op2 @ e22 @ e21 ) @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48263,zip_derived_cl35223]) ).
thf(zip_derived_cl50098,plain,
( ( e20
!= ( op2 @ e20 @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2038,zip_derived_cl48898]) ).
thf(zip_derived_cl50375,plain,
( ( e20 != e20 )
<= ( ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2062,zip_derived_cl50098]) ).
thf('91',plain,
( ( ( h2 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
| ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op1 @ e13 @ e11 )
!= e13 )
| ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl50375]) ).
thf('92',plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1880_280,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1832,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl135,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24407,plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1832,zip_derived_cl135]) ).
thf(zip_derived_cl27858,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e10 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1880,zip_derived_cl24407]) ).
thf('93',plain,
( ( ( op1 @ e13 @ e11 )
!= e12 )
| ( ( op1 @ e10 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27858]) ).
thf(zip_derived_cl1835,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl141,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl778_281,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl24162,plain,
( e11
!= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl778]) ).
thf(zip_derived_cl29453,plain,
( ( e11 != e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1835,zip_derived_cl24162]) ).
thf('94',plain,
( ( op1 @ e13 @ e10 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl29453]) ).
thf(zip_derived_cl24158_282,plain,
( e13
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl776,zip_derived_cl777]) ).
thf(zip_derived_cl1851,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl29397,plain,
( ( e13 = e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24158,zip_derived_cl1851]) ).
thf(ax7,axiom,
( ( e12 != e13 )
& ( e11 != e13 )
& ( e11 != e12 )
& ( e10 != e13 )
& ( e10 != e12 )
& ( e10 != e11 ) ) ).
thf(zip_derived_cl193,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('95',plain,
( ( op1 @ e12 @ e10 )
!= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29397,zip_derived_cl193]) ).
thf('96',plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1853_283,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1849,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl107,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24623,plain,
( ( ( op1 @ e12 @ e10 )
!= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1849,zip_derived_cl107]) ).
thf(zip_derived_cl28079,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e12 @ e11 )
= e13 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1853,zip_derived_cl24623]) ).
thf('97',plain,
( ( ( op1 @ e12 @ e11 )
!= e13 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28079]) ).
thf(zip_derived_cl2017_284,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1863_285,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl2057_286,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl8579,plain,
( ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
<= ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1054]) ).
thf(zip_derived_cl788_287,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl788_288,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl34823,plain,
( ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) )
<= ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8579,zip_derived_cl788,zip_derived_cl788]) ).
thf(zip_derived_cl34826,plain,
( ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2057,zip_derived_cl34823]) ).
thf(zip_derived_cl35115,plain,
( ( ( h2 @ e11 )
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1863,zip_derived_cl34826]) ).
thf(zip_derived_cl788_289,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl2057_290,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl35118,plain,
( ( e23
!= ( op2 @ e23 @ e23 ) )
<= ( ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35115,zip_derived_cl788,zip_derived_cl2057]) ).
thf(zip_derived_cl35126,plain,
( ( e23 != e23 )
<= ( ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2017,zip_derived_cl35118]) ).
thf('98',plain,
( ( ( h2 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
| ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl35126]) ).
thf(zip_derived_cl1863_291,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1847_292,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl134,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24597,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1847,zip_derived_cl134]) ).
thf(zip_derived_cl28050,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1863,zip_derived_cl24597]) ).
thf('99',plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28050]) ).
thf(zip_derived_cl1863_293,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1831_294,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
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_cl24390,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1831,zip_derived_cl133]) ).
thf(zip_derived_cl27832,plain,
( ( e11 != e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1863,zip_derived_cl24390]) ).
thf('100',plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27832]) ).
thf(zip_derived_cl1229,plain,
( ( ( h2 @ e11 )
!= e23 )
| ( ( h2 @ e12 )
!= e22 )
| ( ( h2 @ e10 )
!= e21 )
| ( ( h2 @ e13 )
!= e20 )
| ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('101',plain,
( ( ( h2 @ e13 )
!= e20 )
| ( ( h2 @ e11 )
!= e23 )
| ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ e10 )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ e12 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl1229]) ).
thf(zip_derived_cl2038_295,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl48263_296,plain,
( ( ( h2 @ e13 )
= ( op2 @ e22 @ e21 ) )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2048,zip_derived_cl30417]) ).
thf(zip_derived_cl1057,plain,
( ( ( h2 @ e13 )
!= e23 )
| ( ( h2 @ e10 )
!= e22 )
| ( ( h2 @ e13 )
!= e21 )
| ( ( h2 @ e13 )
!= e20 )
| ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8651,plain,
( ( ( h2 @ e13 )
!= e20 )
<= ( ( h2 @ e13 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl1057]) ).
thf(zip_derived_cl48868,plain,
( ( ( op2 @ e22 @ e21 )
!= e20 )
<= ( ( ( h2 @ e13 )
!= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48263,zip_derived_cl8651]) ).
thf(zip_derived_cl49005,plain,
( ( e20 != e20 )
<= ( ( ( h2 @ e13 )
!= e20 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2038,zip_derived_cl48868]) ).
thf('102',plain,
( ( ( h2 @ e13 )
= e20 )
| ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl49005]) ).
thf(zip_derived_cl2036_297,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2020,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
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_cl25880,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2020,zip_derived_cl174]) ).
thf(zip_derived_cl28491,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2036,zip_derived_cl25880]) ).
thf('103',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28491]) ).
thf('104',plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2045_298,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2041,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl155,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26096,plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2041,zip_derived_cl155]) ).
thf(zip_derived_cl28850,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e21 )
= e23 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2045,zip_derived_cl26096]) ).
thf('105',plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28850]) ).
thf(zip_derived_cl2048_299,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26312_300,plain,
( ( ( h2 @ e12 )
= ( op2 @ e21 @ e23 ) )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2057,zip_derived_cl787]) ).
thf(zip_derived_cl1086,plain,
( ( ( h2 @ e13 )
!= e23 )
| ( ( h2 @ e12 )
!= e22 )
| ( ( h2 @ e13 )
!= e21 )
| ( ( h2 @ e10 )
!= e20 )
| ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9231,plain,
( ( ( h2 @ e12 )
!= e22 )
<= ( ( h2 @ e12 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl1086]) ).
thf(zip_derived_cl30415,plain,
( ( ( op2 @ e21 @ e23 )
!= e22 )
<= ( ( ( h2 @ e12 )
!= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26312,zip_derived_cl9231]) ).
thf(zip_derived_cl30451,plain,
( ( e22 != e22 )
<= ( ( ( h2 @ e12 )
!= e22 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2048,zip_derived_cl30415]) ).
thf('106',plain,
( ( ( h2 @ e12 )
= e22 )
| ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30451]) ).
thf(zip_derived_cl2060,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2048_301,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl159,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26187,plain,
( ( ( op2 @ e21 @ e20 )
!= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2048,zip_derived_cl159]) ).
thf(zip_derived_cl28937,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2060,zip_derived_cl26187]) ).
thf('107',plain,
( ( ( op2 @ e21 @ e20 )
!= e22 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28937]) ).
thf(zip_derived_cl2039,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2031_302,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl151,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25987,plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2031,zip_derived_cl151]) ).
thf(zip_derived_cl28675,plain,
( ( e21 != e21 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2039,zip_derived_cl25987]) ).
thf('108',plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28675]) ).
thf('109',plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2059,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl191,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl781_303,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24174,plain,
( e21
!= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl781]) ).
thf(zip_derived_cl29596,plain,
( ( e21 != e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2059,zip_derived_cl24174]) ).
thf('110',plain,
( ( op2 @ e21 @ e20 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl29596]) ).
thf(zip_derived_cl2062_304,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl2046,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl173,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26158,plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2046,zip_derived_cl173]) ).
thf(zip_derived_cl28899,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2062,zip_derived_cl26158]) ).
thf('111',plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28899]) ).
thf('112',plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl2072_305,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl2064,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl163,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26375,plain,
( ( ( op2 @ e20 @ e21 )
!= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2064,zip_derived_cl163]) ).
thf(zip_derived_cl29094,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2072,zip_derived_cl26375]) ).
thf('113',plain,
( ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29094]) ).
thf(zip_derived_cl2063,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl165,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl781_306,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24169,plain,
( e21
!= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl781]) ).
thf(zip_derived_cl29572,plain,
( ( e21 != e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2063,zip_derived_cl24169]) ).
thf('114',plain,
( ( op2 @ e20 @ e23 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl29572]) ).
thf(zip_derived_cl2065_307,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl2017_308,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl171_309,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25846,plain,
( ( ( op2 @ e20 @ e23 )
!= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2017,zip_derived_cl171]) ).
thf(zip_derived_cl28426,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2065,zip_derived_cl25846]) ).
thf('115',plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28426]) ).
thf(zip_derived_cl2021_310,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl2017_311,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl144,plain,
( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25841,plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2017,zip_derived_cl144]) ).
thf(zip_derived_cl28401,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2021,zip_derived_cl25841]) ).
thf('116',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28401]) ).
thf(zip_derived_cl2072_312,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl2040,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl184,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26088,plain,
( ( ( op2 @ e20 @ e21 )
!= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2040,zip_derived_cl184]) ).
thf(zip_derived_cl28844,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e20 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2072,zip_derived_cl26088]) ).
thf('117',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e20 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28844]) ).
thf(zip_derived_cl24175_313,plain,
( e22
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl780,zip_derived_cl781]) ).
thf(zip_derived_cl2070,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl29609,plain,
( ( e22 = e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24175,zip_derived_cl2070]) ).
thf(ax8,axiom,
( ( e22 != e23 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl202,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('118',plain,
( ( op2 @ e20 @ e21 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29609,zip_derived_cl202]) ).
thf(zip_derived_cl2071,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl167,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl781_314,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl24171,plain,
( e21
!= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl781]) ).
thf(zip_derived_cl29584,plain,
( ( e21 != e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2071,zip_derived_cl24171]) ).
thf('119',plain,
( ( op2 @ e20 @ e21 )
!= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl29584]) ).
thf(zip_derived_cl24175_315,plain,
( e22
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl780,zip_derived_cl781]) ).
thf(zip_derived_cl2073,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl29610,plain,
( ( e22 = e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24175,zip_derived_cl2073]) ).
thf(zip_derived_cl198,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('120',plain,
( ( op2 @ e20 @ e21 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29610,zip_derived_cl198]) ).
thf('121',plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl2072_316,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl2056,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
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_cl26296,plain,
( ( ( op2 @ e20 @ e21 )
!= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2056,zip_derived_cl185]) ).
thf(zip_derived_cl29053,plain,
( ( e22 != e22 )
<= ( ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e20 @ e21 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2072,zip_derived_cl26296]) ).
thf('122',plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e20 @ e21 )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29053]) ).
thf(ax11,axiom,
( ( ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ) )
| ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
= e23 ) ) )
| ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( ( op2 @ e20 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
= e23 ) ) )
| ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( ( op2 @ e20 @ e20 )
!= e23 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
= e21 ) )
& ( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 ) ) ) )
& ( ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 ) )
| ( ( ( op2 @ e20 @ 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 ) ) ) ) ).
thf(zf_stmt_4,axiom,
( zip_tseitin_129
=> ( ( ( op2 @ e21 @ e22 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e23 @ e23 )
!= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ) ).
thf(zip_derived_cl748,plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ~ zip_tseitin_129 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('123',plain,
( ~ zip_tseitin_129
| ( ( op2 @ e23 @ e23 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl748]) ).
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_cl64,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('124',plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl64]) ).
thf(zip_derived_cl2045_317,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2033,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl153,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl26010,plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2033,zip_derived_cl153]) ).
thf(zip_derived_cl28727,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e22 @ e23 )
= e23 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2045,zip_derived_cl26010]) ).
thf('125',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28727]) ).
thf(zip_derived_cl24168_318,plain,
( e23
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl779,zip_derived_cl780]) ).
thf(zip_derived_cl2043,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl29531,plain,
( ( e23 = e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24168,zip_derived_cl2043]) ).
thf(zip_derived_cl199,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('126',plain,
( ( op2 @ e22 @ e20 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29531,zip_derived_cl199]) ).
thf(zip_derived_cl24168_319,plain,
( e23
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl779,zip_derived_cl780]) ).
thf(zip_derived_cl2042,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl29530,plain,
( ( e23 = e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24168,zip_derived_cl2042]) ).
thf(zip_derived_cl201,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('127',plain,
( ( op2 @ e22 @ e20 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29530,zip_derived_cl201]) ).
thf(zip_derived_cl24168_320,plain,
( e23
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl779,zip_derived_cl780]) ).
thf(zip_derived_cl2044,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl29532,plain,
( ( e23 = e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24168,zip_derived_cl2044]) ).
thf(zip_derived_cl198_321,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('128',plain,
( ( op2 @ e22 @ e20 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29532,zip_derived_cl198]) ).
thf('129',plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2045_322,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2029,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl186,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25966,plain,
( ( ( op2 @ e22 @ e20 )
!= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2029,zip_derived_cl186]) ).
thf(zip_derived_cl28639,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2045,zip_derived_cl25966]) ).
thf('130',plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e22 @ e20 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28639]) ).
thf(zip_derived_cl2057_323,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2025_324,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_cl25942,plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2025,zip_derived_cl181]) ).
thf(zip_derived_cl28599,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e23 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2057,zip_derived_cl25942]) ).
thf('131',plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28599]) ).
thf(zip_derived_cl2057_325,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2049,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_cl26205,plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2049,zip_derived_cl157]) ).
thf(zip_derived_cl28953,plain,
( ( e23 != e23 )
<= ( ( ( op2 @ e21 @ e23 )
= e23 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2057,zip_derived_cl26205]) ).
thf('132',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28953]) ).
thf(zip_derived_cl2057_326,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1182,plain,
( ( ( h2 @ e11 )
!= e23 )
| ( ( h2 @ e10 )
!= e22 )
| ( ( h2 @ e13 )
!= e21 )
| ( ( h2 @ e10 )
!= e20 )
| ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11152,plain,
( ( ( h2 @ e11 )
!= e23 )
<= ( ( h2 @ e11 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl1182]) ).
thf(zip_derived_cl788_327,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl25297,plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
<= ( ( h2 @ e11 )
!= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl11152,zip_derived_cl788]) ).
thf(zip_derived_cl26319,plain,
( ( e23 != e23 )
<= ( ( ( h2 @ e11 )
!= e23 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2057,zip_derived_cl25297]) ).
thf('133',plain,
( ( ( h2 @ e11 )
= e23 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26319]) ).
thf(zip_derived_cl2018_328,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1826_329,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl29607_330,plain,
( ( h1 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl24180,zip_derived_cl24175,zip_derived_cl24168]) ).
thf(zip_derived_cl3468,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_cl798]) ).
thf(zip_derived_cl24186_331,plain,
( ( h1 @ e12 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl783,zip_derived_cl781]) ).
thf(zip_derived_cl29258,plain,
( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( op2 @ e20 @ e21 ) ) )
<= ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3468,zip_derived_cl24186]) ).
thf(zip_derived_cl29677,plain,
( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ e23 @ ( op2 @ e20 @ e21 ) ) )
<= ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29607,zip_derived_cl29258]) ).
thf(zip_derived_cl24175_332,plain,
( e22
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl780,zip_derived_cl781]) ).
thf(zip_derived_cl29680,plain,
( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ e23 @ e22 ) )
<= ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29677,zip_derived_cl24175]) ).
thf(zip_derived_cl29722,plain,
( ( ( h1 @ e10 )
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1826,zip_derived_cl29680]) ).
thf(zip_derived_cl785_333,plain,
( ( h1 @ e10 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl29726,plain,
( ( e20
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29722,zip_derived_cl785]) ).
thf(zip_derived_cl30001,plain,
( ( e20 != e20 )
<= ( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op2 @ e23 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2018,zip_derived_cl29726]) ).
thf('134',plain,
( ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
| ( ( op2 @ e23 @ e22 )
!= e20 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30001]) ).
thf(zip_derived_cl2071_334,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl2070_335,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl26437,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2071,zip_derived_cl2070]) ).
thf(zip_derived_cl203,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('135',plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26437,zip_derived_cl203]) ).
thf(zip_derived_cl95,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('136',plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
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('137',plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zf_stmt_5,axiom,
( zip_tseitin_121
=> ( ( ( op2 @ e21 @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e23 )
!= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ) ).
thf(zip_derived_cl714,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ~ zip_tseitin_121 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('138',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ~ zip_tseitin_121 ),
inference(split,[status(esa)],[zip_derived_cl714]) ).
thf(zip_derived_cl2068,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl2067,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl26412,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e20 @ e22 )
= e21 )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2068,zip_derived_cl2067]) ).
thf(zip_derived_cl200,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('139',plain,
( ( ( op2 @ e20 @ e22 )
!= e21 )
| ( ( op2 @ e20 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26412,zip_derived_cl200]) ).
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('140',plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl76]) ).
thf(zip_derived_cl2069_336,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl2067_337,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl26420,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e20 @ e22 )
= e21 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2069,zip_derived_cl2067]) ).
thf(zip_derived_cl199_338,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('141',plain,
( ( ( op2 @ e20 @ e22 )
!= e21 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26420,zip_derived_cl199]) ).
thf(zf_stmt_6,axiom,
( zip_tseitin_85
=> ( ( ( op2 @ e21 @ e23 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ) ).
thf(zip_derived_cl573,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
| ~ zip_tseitin_85 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf('142',plain,
( ~ zip_tseitin_85
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl573]) ).
thf(zf_stmt_7,axiom,
( zip_tseitin_81
=> ( ( ( op2 @ e21 @ e22 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ) ).
thf(zip_derived_cl554,plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ~ zip_tseitin_81 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('143',plain,
( ~ zip_tseitin_81
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl554]) ).
thf(zf_stmt_8,axiom,
( zip_tseitin_95
=> ( ( ( op2 @ e23 @ e21 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ) ).
thf(zip_derived_cl613,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_95 ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('144',plain,
( ~ zip_tseitin_95
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl613]) ).
thf(zf_stmt_9,axiom,
( zip_tseitin_113
=> ( ( ( op2 @ e21 @ e22 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ) ).
thf(zip_derived_cl684,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_113 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf('145',plain,
( ~ zip_tseitin_113
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl684]) ).
thf(zf_stmt_10,axiom,
( zip_tseitin_102
=> ( ( ( op2 @ e22 @ e23 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ) ).
thf(zip_derived_cl639,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ~ zip_tseitin_102 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('146',plain,
( ~ zip_tseitin_102
| ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl639]) ).
thf(zip_derived_cl746,plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ~ zip_tseitin_129 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('147',plain,
( ~ zip_tseitin_129
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl746]) ).
thf(zf_stmt_11,axiom,
( zip_tseitin_70
=> ( ( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) )
& ( ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) )
& ( ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) )
& ( ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e22 ) )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ) ).
thf(zip_derived_cl510,plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ~ zip_tseitin_70 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('148',plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
| ~ zip_tseitin_70
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl510]) ).
thf('149',plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zf_stmt_12,axiom,
( zip_tseitin_116
=> ( ( ( op2 @ e20 @ e23 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ) ).
thf(zip_derived_cl696,plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ~ zip_tseitin_116 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('150',plain,
( ~ zip_tseitin_116
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl696]) ).
thf(zip_derived_cl557,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
| ~ zip_tseitin_81 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('151',plain,
( ~ zip_tseitin_81
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl557]) ).
thf(zip_derived_cl68,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('152',plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl68]) ).
thf(zip_derived_cl694,plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ~ zip_tseitin_116 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('153',plain,
( ~ zip_tseitin_116
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl694]) ).
thf(zf_stmt_13,axiom,
( zip_tseitin_100
=> ( ( ( op2 @ e20 @ e23 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ) ).
thf(zip_derived_cl633,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ~ zip_tseitin_100 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf('154',plain,
( ~ zip_tseitin_100
| ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl633]) ).
thf(zf_stmt_14,axiom,
( zip_tseitin_105
=> ( ( ( op2 @ e21 @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ) ).
thf(zip_derived_cl650,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ~ zip_tseitin_105 ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf('155',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ~ zip_tseitin_105 ),
inference(split,[status(esa)],[zip_derived_cl650]) ).
thf(zf_stmt_15,axiom,
( zip_tseitin_68
=> ( ( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e20 ) )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl500,plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ~ zip_tseitin_68 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf('156',plain,
( ~ zip_tseitin_68
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl500]) ).
thf(zf_stmt_16,axiom,
( zip_tseitin_120
=> ( ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e23 )
!= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ) ).
thf(zip_derived_cl713,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ~ zip_tseitin_120 ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf('157',plain,
( ~ zip_tseitin_120
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl713]) ).
thf(zip_derived_cl717,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ~ zip_tseitin_121 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('158',plain,
( ~ zip_tseitin_121
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl717]) ).
thf(zf_stmt_17,axiom,
( zip_tseitin_75
=> ( ( ( op2 @ e23 @ e20 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl531,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ~ zip_tseitin_75 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('159',plain,
( ~ zip_tseitin_75
| ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl531]) ).
thf(zip_derived_cl498,plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ~ zip_tseitin_68 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf('160',plain,
( ~ zip_tseitin_68
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl498]) ).
thf(zf_stmt_18,axiom,
( zip_tseitin_91
=> ( ( ( op2 @ e23 @ e20 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ) ).
thf(zip_derived_cl596,plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ~ zip_tseitin_91 ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf('161',plain,
( ~ zip_tseitin_91
| ( ( op2 @ e21 @ e21 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl596]) ).
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('162',plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
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('163',plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl2056_339,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2054,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl26298,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2056,zip_derived_cl2054]) ).
thf(zip_derived_cl202_340,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('164',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26298,zip_derived_cl202]) ).
thf(zf_stmt_19,axiom,
( zip_tseitin_124
=> ( ( ( op2 @ e20 @ e21 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ e23 @ e23 )
!= e21 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ) ).
thf(zip_derived_cl729,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ~ zip_tseitin_124 ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf('165',plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ~ zip_tseitin_124 ),
inference(split,[status(esa)],[zip_derived_cl729]) ).
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('166',plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl84]) ).
thf(zip_derived_cl570,plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
| ~ zip_tseitin_85 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf('167',plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
| ~ zip_tseitin_85 ),
inference(split,[status(esa)],[zip_derived_cl570]) ).
thf(zf_stmt_20,axiom,
( zip_tseitin_92
=> ( ( ( op2 @ e20 @ e21 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ) ).
thf(zip_derived_cl601,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_92 ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf('168',plain,
( ~ zip_tseitin_92
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl601]) ).
thf(zip_derived_cl2057_341,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2054_342,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl26313,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2057,zip_derived_cl2054]) ).
thf(zip_derived_cl201_343,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('169',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26313,zip_derived_cl201]) ).
thf(zip_derived_cl2057_344,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2056_345,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl26315,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2057,zip_derived_cl2056]) ).
thf(zip_derived_cl198_346,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('170',plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26315,zip_derived_cl198]) ).
thf(zip_derived_cl2072_347,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl2071_348,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl26449,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2072,zip_derived_cl2071]) ).
thf(zip_derived_cl200_349,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('171',plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26449,zip_derived_cl200]) ).
thf(zf_stmt_21,axiom,
( zip_tseitin_108
=> ( ( ( op2 @ e20 @ e21 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ) ).
thf(zip_derived_cl665,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
| ~ zip_tseitin_108 ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf('172',plain,
( ~ zip_tseitin_108
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl665]) ).
thf(zf_stmt_22,axiom,
( zip_tseitin_109
=> ( ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ) ).
thf(zip_derived_cl669,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
| ~ zip_tseitin_109 ),
inference(cnf,[status(esa)],[zf_stmt_22]) ).
thf('173',plain,
( ~ zip_tseitin_109
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl669]) ).
thf(zip_derived_cl653,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
| ~ zip_tseitin_105 ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf('174',plain,
( ~ zip_tseitin_105
| ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl653]) ).
thf(zip_derived_cl749,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ~ zip_tseitin_129 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('175',plain,
( ~ zip_tseitin_129
| ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl749]) ).
thf(zip_derived_cl611,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ~ zip_tseitin_95 ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('176',plain,
( ~ zip_tseitin_95
| ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl611]) ).
thf(zip_derived_cl2021_350,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl2018_351,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25895,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2021,zip_derived_cl2018]) ).
thf(zip_derived_cl201_352,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('177',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25895,zip_derived_cl201]) ).
thf(zip_derived_cl638,plain,
( ( ( op2 @ e22 @ e23 )
!= e22 )
| ~ zip_tseitin_102 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('178',plain,
( ~ zip_tseitin_102
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl638]) ).
thf(zf_stmt_23,axiom,
( zip_tseitin_86
=> ( ( ( op2 @ e22 @ e23 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ) ).
thf(zip_derived_cl574,plain,
( ( ( op2 @ e22 @ e23 )
!= e22 )
| ~ zip_tseitin_86 ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf('179',plain,
( ~ zip_tseitin_86
| ( ( op2 @ e22 @ e23 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl574]) ).
thf(zip_derived_cl575,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ~ zip_tseitin_86 ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf('180',plain,
( ~ zip_tseitin_86
| ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl575]) ).
thf(zf_stmt_24,axiom,
( zip_tseitin_71
=> ( ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) )
& ( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e23 ) )
& ( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) )
& ( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e23 ) )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zip_derived_cl514,plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ~ zip_tseitin_71 ),
inference(cnf,[status(esa)],[zf_stmt_24]) ).
thf('181',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ~ zip_tseitin_71 ),
inference(split,[status(esa)],[zip_derived_cl514]) ).
thf(zip_derived_cl2044_353,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2043_354,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl26131,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2044,zip_derived_cl2043]) ).
thf(zip_derived_cl200_355,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('182',plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26131,zip_derived_cl200]) ).
thf(zf_stmt_25,axiom,
( zip_tseitin_128
=> ( ( ( op2 @ e20 @ e22 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e23 @ e23 )
!= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ) ).
thf(zip_derived_cl745,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ~ zip_tseitin_128 ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf('183',plain,
( ~ zip_tseitin_128
| ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl745]) ).
thf(zip_derived_cl532,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_75 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('184',plain,
( ~ zip_tseitin_75
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl532]) ).
thf(zip_derived_cl716,plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
| ~ zip_tseitin_121 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('185',plain,
( ~ zip_tseitin_121
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl716]) ).
thf(zf_stmt_26,axiom,
( zip_tseitin_122
=> ( ( ( op2 @ e22 @ e20 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e23 )
!= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ) ).
thf(zip_derived_cl720,plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
| ~ zip_tseitin_122 ),
inference(cnf,[status(esa)],[zf_stmt_26]) ).
thf('186',plain,
( ~ zip_tseitin_122
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl720]) ).
thf(zip_derived_cl2031_356,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2030,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl25991,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2031,zip_derived_cl2030]) ).
thf(zip_derived_cl203_357,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('187',plain,
( ( ( op2 @ e22 @ e23 )
!= e20 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25991,zip_derived_cl203]) ).
thf(zip_derived_cl594,plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ~ zip_tseitin_91 ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf('188',plain,
( ~ zip_tseitin_91
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl594]) ).
thf(zf_stmt_27,axiom,
( zip_tseitin_132
=> ( ( ( op2 @ e20 @ e23 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zip_derived_cl759,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
| ~ zip_tseitin_132 ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf('189',plain,
( ~ zip_tseitin_132
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl759]) ).
thf(zf_stmt_28,axiom,
( zip_tseitin_126
=> ( ( ( op2 @ e22 @ e21 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e23 )
!= e21 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ) ).
thf(zip_derived_cl736,plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ~ zip_tseitin_126 ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf('190',plain,
( ~ zip_tseitin_126
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl736]) ).
thf(zip_derived_cl737,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ~ zip_tseitin_126 ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf('191',plain,
( ~ zip_tseitin_126
| ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl737]) ).
thf(zip_derived_cl2045_358,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2043_359,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl26144,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2045,zip_derived_cl2043]) ).
thf(zip_derived_cl199_360,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('192',plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26144,zip_derived_cl199]) ).
thf(zip_derived_cl2039_361,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2038_362,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl26081,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2039,zip_derived_cl2038]) ).
thf(zip_derived_cl203_363,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('193',plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26081,zip_derived_cl203]) ).
thf(zf_stmt_29,axiom,
( zip_tseitin_117
=> ( ( ( op2 @ e21 @ e23 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ) ).
thf(zip_derived_cl698,plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
| ~ zip_tseitin_117 ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf('194',plain,
( ~ zip_tseitin_117
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl698]) ).
thf(zip_derived_cl515,plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ~ zip_tseitin_71 ),
inference(cnf,[status(esa)],[zf_stmt_24]) ).
thf('195',plain,
( ~ zip_tseitin_71
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl515]) ).
thf(zip_derived_cl700,plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ~ zip_tseitin_117 ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf('196',plain,
( ~ zip_tseitin_117
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl700]) ).
thf(zip_derived_cl701,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ~ zip_tseitin_117 ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf('197',plain,
( ~ zip_tseitin_117
| ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl701]) ).
thf(zip_derived_cl2041_364,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2038_365,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl26099,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2041,zip_derived_cl2038]) ).
thf(zip_derived_cl201_366,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('198',plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26099,zip_derived_cl201]) ).
thf(zf_stmt_30,axiom,
( zip_tseitin_94
=> ( ( ( op2 @ e22 @ e21 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ) ).
thf(zip_derived_cl609,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_94 ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf('199',plain,
( ~ zip_tseitin_94
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl609]) ).
thf(zf_stmt_31,axiom,
( zip_tseitin_98
=> ( ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ) ).
thf(zip_derived_cl623,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_98 ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf('200',plain,
( ~ zip_tseitin_98
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl623]) ).
thf(zip_derived_cl622,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_98 ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf('201',plain,
( ~ zip_tseitin_98
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl622]) ).
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('202',plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl88]) ).
thf(zf_stmt_32,axiom,
( zip_tseitin_107
=> ( ( ( op2 @ e23 @ e20 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ) ).
thf(zip_derived_cl658,plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ~ zip_tseitin_107 ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf('203',plain,
( ~ zip_tseitin_107
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl658]) ).
thf(zf_stmt_33,axiom,
( zip_tseitin_134
=> ( ( ( op2 @ e22 @ e23 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zip_derived_cl769,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_134 ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf('204',plain,
( ~ zip_tseitin_134
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl769]) ).
thf(zip_derived_cl2061_367,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2059_368,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26349,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2061,zip_derived_cl2059]) ).
thf(zip_derived_cl199_369,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('205',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26349,zip_derived_cl199]) ).
thf(zip_derived_cl78,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('206',plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
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('207',plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
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('208',plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl2021_370,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl2020_371,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25897,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e22 )
= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2021,zip_derived_cl2020]) ).
thf(zip_derived_cl198_372,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('209',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25897,zip_derived_cl198]) ).
thf(zip_derived_cl2021_373,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
<= ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl2019_374,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25896,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2021,zip_derived_cl2019]) ).
thf(zip_derived_cl199_375,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('210',plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25896,zip_derived_cl199]) ).
thf(zip_derived_cl2023_376,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl2022,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl25919,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2023,zip_derived_cl2022]) ).
thf(zip_derived_cl203_377,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('211',plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25919,zip_derived_cl203]) ).
thf(zip_derived_cl597,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
| ~ zip_tseitin_91 ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf('212',plain,
( ~ zip_tseitin_91
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl597]) ).
thf(zf_stmt_34,axiom,
( zip_tseitin_135
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zip_derived_cl771,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_135 ),
inference(cnf,[status(esa)],[zf_stmt_34]) ).
thf('213',plain,
( ~ zip_tseitin_135
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl771]) ).
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('214',plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
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('215',plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl80]) ).
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('216',plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl72]) ).
thf(zip_derived_cl93,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('217',plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl93]) ).
thf(zip_derived_cl2073_378,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl2072_379,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl26462,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e20 @ e21 )
= e22 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2073,zip_derived_cl2072]) ).
thf(zip_derived_cl198_380,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('218',plain,
( ( ( op2 @ e20 @ e21 )
!= e23 )
| ( ( op2 @ e20 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26462,zip_derived_cl198]) ).
thf(zip_derived_cl2073_381,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl2071_382,plain,
( ( ( op2 @ e20 @ e21 )
= e21 )
<= ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl26461,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2073,zip_derived_cl2071]) ).
thf(zip_derived_cl199_383,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('219',plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26461,zip_derived_cl199]) ).
thf(zip_derived_cl2064_384,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl2063_385,plain,
( ( ( op2 @ e20 @ e23 )
= e21 )
<= ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl26377,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e20 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2064,zip_derived_cl2063]) ).
thf(zip_derived_cl200_386,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('220',plain,
( ( ( op2 @ e20 @ e23 )
!= e21 )
| ( ( op2 @ e20 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26377,zip_derived_cl200]) ).
thf(zip_derived_cl2016,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl2014_387,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl25828,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2016,zip_derived_cl2014]) ).
thf(zip_derived_cl202_388,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('221',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25828,zip_derived_cl202]) ).
thf(zip_derived_cl2069_389,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl2066_390,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl26419,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2069,zip_derived_cl2066]) ).
thf(zip_derived_cl201_391,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('222',plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26419,zip_derived_cl201]) ).
thf(zip_derived_cl2068_392,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl2066_393,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl26411,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2068,zip_derived_cl2066]) ).
thf(zip_derived_cl202_394,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('223',plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26411,zip_derived_cl202]) ).
thf(zip_derived_cl2067_395,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
<= ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl2066_396,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl26405,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e20 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2067,zip_derived_cl2066]) ).
thf(zip_derived_cl203_397,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('224',plain,
( ( ( op2 @ e20 @ e22 )
!= e21 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26405,zip_derived_cl203]) ).
thf(zf_stmt_35,axiom,
( zip_tseitin_83
=> ( ( ( op2 @ e23 @ e22 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ) ).
thf(zip_derived_cl562,plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ~ zip_tseitin_83 ),
inference(cnf,[status(esa)],[zf_stmt_35]) ).
thf('225',plain,
( ~ zip_tseitin_83
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl562]) ).
thf(zip_derived_cl565,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
| ~ zip_tseitin_83 ),
inference(cnf,[status(esa)],[zf_stmt_35]) ).
thf('226',plain,
( ~ zip_tseitin_83
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl565]) ).
thf(zip_derived_cl761,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_132 ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf('227',plain,
( ~ zip_tseitin_132
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl761]) ).
thf(zip_derived_cl697,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ~ zip_tseitin_116 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('228',plain,
( ~ zip_tseitin_116
| ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl697]) ).
thf(zip_derived_cl661,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
| ~ zip_tseitin_107 ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf('229',plain,
( ~ zip_tseitin_107
| ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl661]) ).
thf(zip_derived_cl2032_398,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2030_399,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl26002,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2032,zip_derived_cl2030]) ).
thf(zip_derived_cl202_400,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('230',plain,
( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26002,zip_derived_cl202]) ).
thf(zf_stmt_36,axiom,
( zip_tseitin_78
=> ( ( ( op2 @ e22 @ e21 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e20 @ e21 )
= e20 ) ) ) ).
thf(zip_derived_cl542,plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ~ zip_tseitin_78 ),
inference(cnf,[status(esa)],[zf_stmt_36]) ).
thf('231',plain,
( ~ zip_tseitin_78
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl542]) ).
thf(zip_derived_cl767,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ~ zip_tseitin_134 ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf('232',plain,
( ~ zip_tseitin_134
| ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl767]) ).
thf(zip_derived_cl2040_401,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2038_402,plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
<= ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl26089,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2040,zip_derived_cl2038]) ).
thf(zip_derived_cl202_403,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('233',plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26089,zip_derived_cl202]) ).
thf(zip_derived_cl79,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('234',plain,
( ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf(zip_derived_cl2045_404,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2044_405,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl26145,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2045,zip_derived_cl2044]) ).
thf(zip_derived_cl198_406,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('235',plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26145,zip_derived_cl198]) ).
thf(zip_derived_cl2044_407,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
<= ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2042_408,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl26130,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2044,zip_derived_cl2042]) ).
thf(zip_derived_cl202_409,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('236',plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26130,zip_derived_cl202]) ).
thf(zip_derived_cl2033_410,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2030_411,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl26013,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2033,zip_derived_cl2030]) ).
thf(zip_derived_cl201_412,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('237',plain,
( ( ( op2 @ e22 @ e23 )
!= e20 )
| ( ( op2 @ e22 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26013,zip_derived_cl201]) ).
thf(zip_derived_cl2036_413,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2035,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl26048,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2036,zip_derived_cl2035]) ).
thf(zip_derived_cl200_414,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('238',plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26048,zip_derived_cl200]) ).
thf(zip_derived_cl641,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ~ zip_tseitin_102 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('239',plain,
( ~ zip_tseitin_102
| ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl641]) ).
thf(zip_derived_cl625,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
| ~ zip_tseitin_98 ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf('240',plain,
( ~ zip_tseitin_98
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl625]) ).
thf(zip_derived_cl699,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
| ~ zip_tseitin_117 ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf('241',plain,
( ~ zip_tseitin_117
| ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl699]) ).
thf(zip_derived_cl683,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
| ~ zip_tseitin_113 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf('242',plain,
( ~ zip_tseitin_113
| ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl683]) ).
thf(zip_derived_cl608,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_94 ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf('243',plain,
( ~ zip_tseitin_94
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl608]) ).
thf(zip_derived_cl734,plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ~ zip_tseitin_126 ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf('244',plain,
( ~ zip_tseitin_126
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl734]) ).
thf(zip_derived_cl735,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
| ~ zip_tseitin_126 ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf('245',plain,
( ~ zip_tseitin_126
| ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl735]) ).
thf(zf_stmt_37,axiom,
( zip_tseitin_69
=> ( ( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) )
& ( ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) )
& ( ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) )
& ( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ) ).
thf(zip_derived_cl504,plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ~ zip_tseitin_69 ),
inference(cnf,[status(esa)],[zf_stmt_37]) ).
thf('246',plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ~ zip_tseitin_69
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl504]) ).
thf(zip_derived_cl2024_415,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl2023_416,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl25932,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2024,zip_derived_cl2023]) ).
thf(zip_derived_cl200_417,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('247',plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op2 @ e23 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25932,zip_derived_cl200]) ).
thf(zip_derived_cl2024_418,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl2022_419,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl25931,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2024,zip_derived_cl2022]) ).
thf(zip_derived_cl202_420,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('248',plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op2 @ e23 @ e21 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25931,zip_derived_cl202]) ).
thf(zip_derived_cl82,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('249',plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl2029_421,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl2028_422,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25970,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2029,zip_derived_cl2028]) ).
thf(zip_derived_cl198_423,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('250',plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25970,zip_derived_cl198]) ).
thf(zip_derived_cl2029_424,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl2027_425,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25969,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2029,zip_derived_cl2027]) ).
thf(zip_derived_cl199_426,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('251',plain,
( ( ( op2 @ e23 @ e20 )
!= e21 )
| ( ( op2 @ e23 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25969,zip_derived_cl199]) ).
thf(zip_derived_cl2029_427,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
<= ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl2026_428,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25968,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2029,zip_derived_cl2026]) ).
thf(zip_derived_cl201_429,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('252',plain,
( ( ( op2 @ e23 @ e20 )
!= e23 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25968,zip_derived_cl201]) ).
thf(zip_derived_cl718,plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
| ~ zip_tseitin_122 ),
inference(cnf,[status(esa)],[zf_stmt_26]) ).
thf('253',plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
| ~ zip_tseitin_122 ),
inference(split,[status(esa)],[zip_derived_cl718]) ).
thf(zip_derived_cl721,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ~ zip_tseitin_122 ),
inference(cnf,[status(esa)],[zf_stmt_26]) ).
thf('254',plain,
( ~ zip_tseitin_122
| ( ( op2 @ e23 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl721]) ).
thf(zf_stmt_38,axiom,
( zip_tseitin_77
=> ( ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e20 @ e21 )
= e20 ) ) ) ).
thf(zip_derived_cl539,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_77 ),
inference(cnf,[status(esa)],[zf_stmt_38]) ).
thf('255',plain,
( ~ zip_tseitin_77
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl539]) ).
thf(zip_derived_cl538,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_77 ),
inference(cnf,[status(esa)],[zf_stmt_38]) ).
thf('256',plain,
( ~ zip_tseitin_77
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl538]) ).
thf(zf_stmt_39,axiom,
( zip_tseitin_103
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ) ).
thf(zip_derived_cl643,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_103 ),
inference(cnf,[status(esa)],[zf_stmt_39]) ).
thf('257',plain,
( ~ zip_tseitin_103
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl643]) ).
thf(zip_derived_cl642,plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_103 ),
inference(cnf,[status(esa)],[zf_stmt_39]) ).
thf('258',plain,
( ~ zip_tseitin_103
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl642]) ).
thf(zip_derived_cl2033_430,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2032_431,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl26015,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2033,zip_derived_cl2032]) ).
thf(zip_derived_cl198_432,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('259',plain,
( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26015,zip_derived_cl198]) ).
thf(zip_derived_cl2032_433,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
<= ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2031_434,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl26003,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2032,zip_derived_cl2031]) ).
thf(zip_derived_cl200_435,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('260',plain,
( ( ( op2 @ e22 @ e23 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26003,zip_derived_cl200]) ).
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('261',plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
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('262',plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= 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('263',plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl2041_436,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2040_437,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl26101,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2041,zip_derived_cl2040]) ).
thf(zip_derived_cl198_438,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('264',plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26101,zip_derived_cl198]) ).
thf(zip_derived_cl2040_439,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
<= ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2039_440,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl26090,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2040,zip_derived_cl2039]) ).
thf(zip_derived_cl200_441,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('265',plain,
( ( ( op2 @ e22 @ e21 )
!= e21 )
| ( ( op2 @ e22 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26090,zip_derived_cl200]) ).
thf(zip_derived_cl2033_442,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
<= ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2031_443,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
<= ( ( op2 @ e22 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl26014,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2033,zip_derived_cl2031]) ).
thf(zip_derived_cl199_444,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('266',plain,
( ( ( op2 @ e22 @ e23 )
!= e23 )
| ( ( op2 @ e22 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26014,zip_derived_cl199]) ).
thf(zip_derived_cl2045_445,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
<= ( ( op2 @ e22 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2042_446,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl26143,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2045,zip_derived_cl2042]) ).
thf(zip_derived_cl201_447,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('267',plain,
( ( ( op2 @ e22 @ e20 )
!= e20 )
| ( ( op2 @ e22 @ e20 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26143,zip_derived_cl201]) ).
thf(zip_derived_cl2043_448,plain,
( ( ( op2 @ e22 @ e20 )
= e21 )
<= ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl2042_449,plain,
( ( ( op2 @ e22 @ e20 )
= e20 )
<= ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl26121,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2043,zip_derived_cl2042]) ).
thf(zip_derived_cl203_450,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('268',plain,
( ( ( op2 @ e22 @ e20 )
!= e21 )
| ( ( op2 @ e22 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26121,zip_derived_cl203]) ).
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('269',plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl90,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('270',plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf(zip_derived_cl2036_451,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2034,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl26047,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2036,zip_derived_cl2034]) ).
thf(zip_derived_cl202_452,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('271',plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26047,zip_derived_cl202]) ).
thf(zip_derived_cl2035_453,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2034_454,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl26034,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2035,zip_derived_cl2034]) ).
thf(zip_derived_cl203_455,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('272',plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26034,zip_derived_cl203]) ).
thf(zip_derived_cl2060_456,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2059_457,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26343,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2060,zip_derived_cl2059]) ).
thf(zip_derived_cl200_458,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('273',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26343,zip_derived_cl200]) ).
thf(zip_derived_cl2059_459,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
<= ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2058_460,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26336,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2059,zip_derived_cl2058]) ).
thf(zip_derived_cl203_461,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('274',plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26336,zip_derived_cl203]) ).
thf(zf_stmt_40,axiom,
( zip_tseitin_90
=> ( ( ( op2 @ e22 @ e20 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ) ).
thf(zip_derived_cl590,plain,
( ( ( op2 @ e22 @ e20 )
!= e22 )
| ~ zip_tseitin_90 ),
inference(cnf,[status(esa)],[zf_stmt_40]) ).
thf('275',plain,
( ~ zip_tseitin_90
| ( ( op2 @ e22 @ e20 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl590]) ).
thf(zip_derived_cl591,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
| ~ zip_tseitin_90 ),
inference(cnf,[status(esa)],[zf_stmt_40]) ).
thf('276',plain,
( ~ zip_tseitin_90
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl591]) ).
thf(zip_derived_cl593,plain,
( ( ( op2 @ e21 @ e20 )
= e21 )
| ~ zip_tseitin_90 ),
inference(cnf,[status(esa)],[zf_stmt_40]) ).
thf('277',plain,
( ~ zip_tseitin_90
| ( ( op2 @ e21 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl593]) ).
thf(zf_stmt_41,axiom,
( zip_tseitin_127
=> ( ( ( op2 @ e23 @ e21 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e23 )
!= e21 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ) ).
thf(zip_derived_cl740,plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ~ zip_tseitin_127 ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf('278',plain,
( ~ zip_tseitin_127
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl740]) ).
thf(zip_derived_cl739,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ~ zip_tseitin_127 ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf('279',plain,
( ~ zip_tseitin_127
| ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl739]) ).
thf(zf_stmt_42,axiom,
( zip_tseitin_130
=> ( ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e23 @ e23 )
!= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ) ).
thf(zip_derived_cl751,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_130 ),
inference(cnf,[status(esa)],[zf_stmt_42]) ).
thf('280',plain,
( ~ zip_tseitin_130
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl751]) ).
thf(zip_derived_cl750,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_130 ),
inference(cnf,[status(esa)],[zf_stmt_42]) ).
thf('281',plain,
( ~ zip_tseitin_130
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl750]) ).
thf(zip_derived_cl595,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ~ zip_tseitin_91 ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf('282',plain,
( ~ zip_tseitin_91
| ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl595]) ).
thf(zf_stmt_43,axiom,
( zip_tseitin_76
=> ( ( ( op2 @ e20 @ e21 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e20 @ e21 )
= e20 ) ) ) ).
thf(zip_derived_cl536,plain,
( ( ( op2 @ e20 @ e20 )
!= e21 )
| ~ zip_tseitin_76 ),
inference(cnf,[status(esa)],[zf_stmt_43]) ).
thf('283',plain,
( ~ zip_tseitin_76
| ( ( op2 @ e20 @ e20 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl536]) ).
thf(zip_derived_cl535,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ~ zip_tseitin_76 ),
inference(cnf,[status(esa)],[zf_stmt_43]) ).
thf('284',plain,
( ~ zip_tseitin_76
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl535]) ).
thf(zf_stmt_44,axiom,
( zip_tseitin_80
=> ( ( ( op2 @ e20 @ e22 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ) ).
thf(zip_derived_cl552,plain,
( ( ( op2 @ e20 @ e20 )
!= e22 )
| ~ zip_tseitin_80 ),
inference(cnf,[status(esa)],[zf_stmt_44]) ).
thf('285',plain,
( ~ zip_tseitin_80
| ( ( op2 @ e20 @ e20 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl552]) ).
thf(zip_derived_cl551,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
| ~ zip_tseitin_80 ),
inference(cnf,[status(esa)],[zf_stmt_44]) ).
thf('286',plain,
( ~ zip_tseitin_80
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl551]) ).
thf(zf_stmt_45,axiom,
( zip_tseitin_72
=> ( ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl519,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_72 ),
inference(cnf,[status(esa)],[zf_stmt_45]) ).
thf('287',plain,
( ~ zip_tseitin_72
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl519]) ).
thf(zip_derived_cl518,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_72 ),
inference(cnf,[status(esa)],[zf_stmt_45]) ).
thf('288',plain,
( ~ zip_tseitin_72
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl518]) ).
thf(zf_stmt_46,axiom,
( zip_tseitin_96
=> ( ( ( op2 @ e20 @ e22 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ) ).
thf(zip_derived_cl615,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
| ~ zip_tseitin_96 ),
inference(cnf,[status(esa)],[zf_stmt_46]) ).
thf('289',plain,
( ~ zip_tseitin_96
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl615]) ).
thf(zip_derived_cl533,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_75 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf('290',plain,
( ~ zip_tseitin_75
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl533]) ).
thf(zf_stmt_47,axiom,
( zip_tseitin_84
=> ( ( ( op2 @ e20 @ e23 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ) ).
thf(zip_derived_cl568,plain,
( ( ( op2 @ e20 @ e20 )
!= e23 )
| ~ zip_tseitin_84 ),
inference(cnf,[status(esa)],[zf_stmt_47]) ).
thf('291',plain,
( ~ zip_tseitin_84
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl568]) ).
thf(zip_derived_cl567,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
| ~ zip_tseitin_84 ),
inference(cnf,[status(esa)],[zf_stmt_47]) ).
thf('292',plain,
( ~ zip_tseitin_84
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl567]) ).
thf(zf_stmt_48,axiom,
( zip_tseitin_87
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e20 @ e23 )
= e20 ) ) ) ).
thf(zip_derived_cl579,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_87 ),
inference(cnf,[status(esa)],[zf_stmt_48]) ).
thf('293',plain,
( ~ zip_tseitin_87
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl579]) ).
thf(zip_derived_cl578,plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_87 ),
inference(cnf,[status(esa)],[zf_stmt_48]) ).
thf('294',plain,
( ~ zip_tseitin_87
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl578]) ).
thf(zf_stmt_49,axiom,
( zip_tseitin_88
=> ( ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ) ).
thf(zip_derived_cl583,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_88 ),
inference(cnf,[status(esa)],[zf_stmt_49]) ).
thf('295',plain,
( ~ zip_tseitin_88
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl583]) ).
thf(zip_derived_cl582,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_88 ),
inference(cnf,[status(esa)],[zf_stmt_49]) ).
thf('296',plain,
( ~ zip_tseitin_88
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl582]) ).
thf(zf_stmt_50,axiom,
( zip_tseitin_89
=> ( ( ( op2 @ e21 @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 ) ) ) ).
thf(zip_derived_cl588,plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ~ zip_tseitin_89 ),
inference(cnf,[status(esa)],[zf_stmt_50]) ).
thf('297',plain,
( ~ zip_tseitin_89
| ( ( op2 @ e21 @ e21 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl588]) ).
thf(zip_derived_cl587,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ~ zip_tseitin_89 ),
inference(cnf,[status(esa)],[zf_stmt_50]) ).
thf('298',plain,
( ~ zip_tseitin_89
| ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl587]) ).
thf(zf_stmt_51,axiom,
( zip_tseitin_93
=> ( ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ) ).
thf(zip_derived_cl603,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_93 ),
inference(cnf,[status(esa)],[zf_stmt_51]) ).
thf('299',plain,
( ~ zip_tseitin_93
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl603]) ).
thf(zip_derived_cl602,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_93 ),
inference(cnf,[status(esa)],[zf_stmt_51]) ).
thf('300',plain,
( ~ zip_tseitin_93
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl602]) ).
thf(zf_stmt_52,axiom,
( zip_tseitin_97
=> ( ( ( op2 @ e21 @ e22 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ) ).
thf(zip_derived_cl620,plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
| ~ zip_tseitin_97 ),
inference(cnf,[status(esa)],[zf_stmt_52]) ).
thf('301',plain,
( ~ zip_tseitin_97
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl620]) ).
thf(zip_derived_cl619,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
| ~ zip_tseitin_97 ),
inference(cnf,[status(esa)],[zf_stmt_52]) ).
thf('302',plain,
( ~ zip_tseitin_97
| ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl619]) ).
thf(zf_stmt_53,axiom,
( zip_tseitin_74
=> ( ( ( op2 @ e22 @ e20 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl529,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_74 ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf('303',plain,
( ~ zip_tseitin_74
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl529]) ).
thf(zip_derived_cl528,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_74 ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf('304',plain,
( ~ zip_tseitin_74
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl528]) ).
thf(zf_stmt_54,axiom,
( zip_tseitin_101
=> ( ( ( op2 @ e21 @ e23 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ) ).
thf(zip_derived_cl636,plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ~ zip_tseitin_101 ),
inference(cnf,[status(esa)],[zf_stmt_54]) ).
thf('305',plain,
( ~ zip_tseitin_101
| ( ( op2 @ e21 @ e21 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl636]) ).
thf(zip_derived_cl635,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
| ~ zip_tseitin_101 ),
inference(cnf,[status(esa)],[zf_stmt_54]) ).
thf('306',plain,
( ~ zip_tseitin_101
| ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl635]) ).
thf(zf_stmt_55,axiom,
( zip_tseitin_104
=> ( ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ) ).
thf(zip_derived_cl647,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_104 ),
inference(cnf,[status(esa)],[zf_stmt_55]) ).
thf('307',plain,
( ~ zip_tseitin_104
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl647]) ).
thf(zip_derived_cl646,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_104 ),
inference(cnf,[status(esa)],[zf_stmt_55]) ).
thf('308',plain,
( ~ zip_tseitin_104
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl646]) ).
thf(zf_stmt_56,axiom,
( zip_tseitin_106
=> ( ( ( op2 @ e22 @ e20 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 ) ) ) ).
thf(zip_derived_cl656,plain,
( ( ( op2 @ e22 @ e22 )
!= e20 )
| ~ zip_tseitin_106 ),
inference(cnf,[status(esa)],[zf_stmt_56]) ).
thf('309',plain,
( ~ zip_tseitin_106
| ( ( op2 @ e22 @ e22 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl656]) ).
thf(zip_derived_cl655,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
| ~ zip_tseitin_106 ),
inference(cnf,[status(esa)],[zf_stmt_56]) ).
thf('310',plain,
( ~ zip_tseitin_106
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl655]) ).
thf(zf_stmt_57,axiom,
( zip_tseitin_110
=> ( ( ( op2 @ e22 @ e21 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ) ).
thf(zip_derived_cl672,plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ~ zip_tseitin_110 ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf('311',plain,
( ~ zip_tseitin_110
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl672]) ).
thf(zip_derived_cl671,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
| ~ zip_tseitin_110 ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf('312',plain,
( ~ zip_tseitin_110
| ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl671]) ).
thf(zf_stmt_58,axiom,
( zip_tseitin_73
=> ( ( ( op2 @ e21 @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl525,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_73 ),
inference(cnf,[status(esa)],[zf_stmt_58]) ).
thf('313',plain,
( ~ zip_tseitin_73
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl525]) ).
thf(zip_derived_cl524,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_73 ),
inference(cnf,[status(esa)],[zf_stmt_58]) ).
thf('314',plain,
( ~ zip_tseitin_73
| ( ( op2 @ e20 @ e20 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl524]) ).
thf(zf_stmt_59,axiom,
( zip_tseitin_114
=> ( ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ) ).
thf(zip_derived_cl687,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_114 ),
inference(cnf,[status(esa)],[zf_stmt_59]) ).
thf('315',plain,
( ~ zip_tseitin_114
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl687]) ).
thf(zip_derived_cl686,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_114 ),
inference(cnf,[status(esa)],[zf_stmt_59]) ).
thf('316',plain,
( ~ zip_tseitin_114
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl686]) ).
thf(zf_stmt_60,axiom,
( zip_tseitin_115
=> ( ( ( op2 @ e23 @ e22 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ) ).
thf(zip_derived_cl693,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_115 ),
inference(cnf,[status(esa)],[zf_stmt_60]) ).
thf('317',plain,
( ~ zip_tseitin_115
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl693]) ).
thf(zip_derived_cl692,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_115 ),
inference(cnf,[status(esa)],[zf_stmt_60]) ).
thf('318',plain,
( ~ zip_tseitin_115
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl692]) ).
thf(zip_derived_cl743,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
| ~ zip_tseitin_128 ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf('319',plain,
( ~ zip_tseitin_128
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl743]) ).
thf(zf_stmt_61,axiom,
( zip_tseitin_118
=> ( ( ( op2 @ e22 @ e23 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ) ).
thf(zip_derived_cl704,plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ~ zip_tseitin_118 ),
inference(cnf,[status(esa)],[zf_stmt_61]) ).
thf('320',plain,
( ~ zip_tseitin_118
| ( ( op2 @ e22 @ e22 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl704]) ).
thf(zip_derived_cl703,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ~ zip_tseitin_118 ),
inference(cnf,[status(esa)],[zf_stmt_61]) ).
thf('321',plain,
( ~ zip_tseitin_118
| ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl703]) ).
thf(zf_stmt_62,axiom,
( zip_tseitin_119
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e22 @ e23 )
= e22 ) ) ) ).
thf(zip_derived_cl707,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_119 ),
inference(cnf,[status(esa)],[zf_stmt_62]) ).
thf('322',plain,
( ~ zip_tseitin_119
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl707]) ).
thf(zip_derived_cl706,plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_119 ),
inference(cnf,[status(esa)],[zf_stmt_62]) ).
thf('323',plain,
( ~ zip_tseitin_119
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl706]) ).
thf(zip_derived_cl711,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_120 ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf('324',plain,
( ~ zip_tseitin_120
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl711]) ).
thf(zf_stmt_63,axiom,
( zip_tseitin_112
=> ( ( ( op2 @ e20 @ e22 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ) ).
thf(zip_derived_cl679,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
| ~ zip_tseitin_112 ),
inference(cnf,[status(esa)],[zf_stmt_63]) ).
thf('325',plain,
( ~ zip_tseitin_112
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl679]) ).
thf(zf_stmt_64,axiom,
( zip_tseitin_123
=> ( ( ( op2 @ e23 @ e20 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e23 )
!= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 ) ) ) ).
thf(zip_derived_cl724,plain,
( ( ( op2 @ e23 @ e23 )
!= e20 )
| ~ zip_tseitin_123 ),
inference(cnf,[status(esa)],[zf_stmt_64]) ).
thf('326',plain,
( ~ zip_tseitin_123
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl724]) ).
thf(zip_derived_cl723,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ~ zip_tseitin_123 ),
inference(cnf,[status(esa)],[zf_stmt_64]) ).
thf('327',plain,
( ~ zip_tseitin_123
| ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl723]) ).
thf(zf_stmt_65,axiom,
( zip_tseitin_125
=> ( ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e23 @ e23 )
!= e21 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ) ).
thf(zip_derived_cl731,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_125 ),
inference(cnf,[status(esa)],[zf_stmt_65]) ).
thf('328',plain,
( ~ zip_tseitin_125
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl731]) ).
thf(zip_derived_cl730,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_125 ),
inference(cnf,[status(esa)],[zf_stmt_65]) ).
thf('329',plain,
( ~ zip_tseitin_125
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zf_stmt_66,axiom,
( zip_tseitin_131
=> ( ( ( op2 @ e23 @ e22 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e23 )
!= e22 )
& ( ( op2 @ e23 @ e22 )
= e23 ) ) ) ).
thf(zip_derived_cl756,plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ~ zip_tseitin_131 ),
inference(cnf,[status(esa)],[zf_stmt_66]) ).
thf('330',plain,
( ~ zip_tseitin_131
| ( ( op2 @ e23 @ e23 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl755,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ~ zip_tseitin_131 ),
inference(cnf,[status(esa)],[zf_stmt_66]) ).
thf('331',plain,
( ~ zip_tseitin_131
| ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl760,plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_132 ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf('332',plain,
( ~ zip_tseitin_132
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl760]) ).
thf(zip_derived_cl768,plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_134 ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf('333',plain,
( ~ zip_tseitin_134
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl768]) ).
thf(zip_derived_cl770,plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_135 ),
inference(cnf,[status(esa)],[zf_stmt_34]) ).
thf('334',plain,
( ~ zip_tseitin_135
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl770]) ).
thf(zf_stmt_67,type,
zip_tseitin_135: $o ).
thf(zf_stmt_68,type,
zip_tseitin_134: $o ).
thf(zf_stmt_69,type,
zip_tseitin_133: $o ).
thf(zf_stmt_70,axiom,
( zip_tseitin_133
=> ( ( ( op2 @ e21 @ e23 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zf_stmt_71,type,
zip_tseitin_132: $o ).
thf(zf_stmt_72,type,
zip_tseitin_131: $o ).
thf(zf_stmt_73,type,
zip_tseitin_130: $o ).
thf(zf_stmt_74,type,
zip_tseitin_129: $o ).
thf(zf_stmt_75,type,
zip_tseitin_128: $o ).
thf(zf_stmt_76,type,
zip_tseitin_127: $o ).
thf(zf_stmt_77,type,
zip_tseitin_126: $o ).
thf(zf_stmt_78,type,
zip_tseitin_125: $o ).
thf(zf_stmt_79,type,
zip_tseitin_124: $o ).
thf(zf_stmt_80,type,
zip_tseitin_123: $o ).
thf(zf_stmt_81,type,
zip_tseitin_122: $o ).
thf(zf_stmt_82,type,
zip_tseitin_121: $o ).
thf(zf_stmt_83,type,
zip_tseitin_120: $o ).
thf(zf_stmt_84,type,
zip_tseitin_119: $o ).
thf(zf_stmt_85,type,
zip_tseitin_118: $o ).
thf(zf_stmt_86,type,
zip_tseitin_117: $o ).
thf(zf_stmt_87,type,
zip_tseitin_116: $o ).
thf(zf_stmt_88,type,
zip_tseitin_115: $o ).
thf(zf_stmt_89,type,
zip_tseitin_114: $o ).
thf(zf_stmt_90,type,
zip_tseitin_113: $o ).
thf(zf_stmt_91,type,
zip_tseitin_112: $o ).
thf(zf_stmt_92,type,
zip_tseitin_111: $o ).
thf(zf_stmt_93,axiom,
( zip_tseitin_111
=> ( ( ( op2 @ e23 @ e21 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e22 @ e21 )
= e22 ) ) ) ).
thf(zf_stmt_94,type,
zip_tseitin_110: $o ).
thf(zf_stmt_95,type,
zip_tseitin_109: $o ).
thf(zf_stmt_96,type,
zip_tseitin_108: $o ).
thf(zf_stmt_97,type,
zip_tseitin_107: $o ).
thf(zf_stmt_98,type,
zip_tseitin_106: $o ).
thf(zf_stmt_99,type,
zip_tseitin_105: $o ).
thf(zf_stmt_100,type,
zip_tseitin_104: $o ).
thf(zf_stmt_101,type,
zip_tseitin_103: $o ).
thf(zf_stmt_102,type,
zip_tseitin_102: $o ).
thf(zf_stmt_103,type,
zip_tseitin_101: $o ).
thf(zf_stmt_104,type,
zip_tseitin_100: $o ).
thf(zf_stmt_105,type,
zip_tseitin_99: $o ).
thf(zf_stmt_106,axiom,
( zip_tseitin_99
=> ( ( ( op2 @ e23 @ e22 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ) ).
thf(zf_stmt_107,type,
zip_tseitin_98: $o ).
thf(zf_stmt_108,type,
zip_tseitin_97: $o ).
thf(zf_stmt_109,type,
zip_tseitin_96: $o ).
thf(zf_stmt_110,type,
zip_tseitin_95: $o ).
thf(zf_stmt_111,type,
zip_tseitin_94: $o ).
thf(zf_stmt_112,type,
zip_tseitin_93: $o ).
thf(zf_stmt_113,type,
zip_tseitin_92: $o ).
thf(zf_stmt_114,type,
zip_tseitin_91: $o ).
thf(zf_stmt_115,type,
zip_tseitin_90: $o ).
thf(zf_stmt_116,type,
zip_tseitin_89: $o ).
thf(zf_stmt_117,type,
zip_tseitin_88: $o ).
thf(zf_stmt_118,type,
zip_tseitin_87: $o ).
thf(zf_stmt_119,type,
zip_tseitin_86: $o ).
thf(zf_stmt_120,type,
zip_tseitin_85: $o ).
thf(zf_stmt_121,type,
zip_tseitin_84: $o ).
thf(zf_stmt_122,type,
zip_tseitin_83: $o ).
thf(zf_stmt_123,type,
zip_tseitin_82: $o ).
thf(zf_stmt_124,axiom,
( zip_tseitin_82
=> ( ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ) ).
thf(zf_stmt_125,type,
zip_tseitin_81: $o ).
thf(zf_stmt_126,type,
zip_tseitin_80: $o ).
thf(zf_stmt_127,type,
zip_tseitin_79: $o ).
thf(zf_stmt_128,axiom,
( zip_tseitin_79
=> ( ( ( op2 @ e23 @ e21 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e20 @ e21 )
= e20 ) ) ) ).
thf(zf_stmt_129,type,
zip_tseitin_78: $o ).
thf(zf_stmt_130,type,
zip_tseitin_77: $o ).
thf(zf_stmt_131,type,
zip_tseitin_76: $o ).
thf(zf_stmt_132,type,
zip_tseitin_75: $o ).
thf(zf_stmt_133,type,
zip_tseitin_74: $o ).
thf(zf_stmt_134,type,
zip_tseitin_73: $o ).
thf(zf_stmt_135,type,
zip_tseitin_72: $o ).
thf(zf_stmt_136,type,
zip_tseitin_71: $o ).
thf(zf_stmt_137,type,
zip_tseitin_70: $o ).
thf(zf_stmt_138,type,
zip_tseitin_69: $o ).
thf(zf_stmt_139,type,
zip_tseitin_68: $o ).
thf(zf_stmt_140,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_cl774,plain,
( 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 ),
inference(cnf,[status(esa)],[zf_stmt_140]) ).
thf('335',plain,
( zip_tseitin_124
| zip_tseitin_92
| zip_tseitin_76
| zip_tseitin_80
| zip_tseitin_72
| zip_tseitin_96
| zip_tseitin_77
| zip_tseitin_75
| zip_tseitin_90
| zip_tseitin_103
| zip_tseitin_116
| zip_tseitin_91
| zip_tseitin_84
| zip_tseitin_126
| zip_tseitin_98
| zip_tseitin_87
| zip_tseitin_88
| zip_tseitin_89
| zip_tseitin_117
| zip_tseitin_95
| zip_tseitin_86
| zip_tseitin_93
| zip_tseitin_94
| zip_tseitin_111
| zip_tseitin_107
| zip_tseitin_97
| zip_tseitin_105
| zip_tseitin_99
| zip_tseitin_74
| zip_tseitin_101
| zip_tseitin_100
| zip_tseitin_108
| zip_tseitin_104
| zip_tseitin_106
| zip_tseitin_79
| zip_tseitin_81
| zip_tseitin_121
| zip_tseitin_109
| zip_tseitin_110
| zip_tseitin_102
| zip_tseitin_78
| zip_tseitin_73
| zip_tseitin_114
| zip_tseitin_115
| zip_tseitin_128
| zip_tseitin_134
| zip_tseitin_118
| zip_tseitin_119
| zip_tseitin_120
| zip_tseitin_113
| zip_tseitin_112
| zip_tseitin_123
| zip_tseitin_82
| zip_tseitin_125
| zip_tseitin_85
| zip_tseitin_132
| zip_tseitin_83
| zip_tseitin_129
| zip_tseitin_130
| zip_tseitin_131
| zip_tseitin_127
| zip_tseitin_133
| zip_tseitin_122
| zip_tseitin_135 ),
inference(split,[status(esa)],[zip_derived_cl774]) ).
thf(zip_derived_cl559,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_82 ),
inference(cnf,[status(esa)],[zf_stmt_124]) ).
thf('336',plain,
( ~ zip_tseitin_82
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl559]) ).
thf(zip_derived_cl558,plain,
( ( ( op2 @ e22 @ e22 )
!= e22 )
| ~ zip_tseitin_82 ),
inference(cnf,[status(esa)],[zf_stmt_124]) ).
thf('337',plain,
( ~ zip_tseitin_82
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl558]) ).
thf(zip_derived_cl695,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
| ~ zip_tseitin_116 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('338',plain,
( ~ zip_tseitin_116
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl695]) ).
thf(zip_derived_cl544,plain,
( ( ( op2 @ e20 @ e20 )
!= e21 )
| ~ zip_tseitin_78 ),
inference(cnf,[status(esa)],[zf_stmt_36]) ).
thf('339',plain,
( ~ zip_tseitin_78
| ( ( op2 @ e20 @ e20 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl544]) ).
thf(zip_derived_cl548,plain,
( ( ( op2 @ e20 @ e20 )
!= e21 )
| ~ zip_tseitin_79 ),
inference(cnf,[status(esa)],[zf_stmt_128]) ).
thf('340',plain,
( ~ zip_tseitin_79
| ( ( op2 @ e20 @ e20 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl548]) ).
thf(zip_derived_cl631,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
| ~ zip_tseitin_100 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf('341',plain,
( ~ zip_tseitin_100
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl631]) ).
thf(zip_derived_cl765,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_133 ),
inference(cnf,[status(esa)],[zf_stmt_70]) ).
thf('342',plain,
( ~ zip_tseitin_133
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl765]) ).
thf(zip_derived_cl764,plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ~ zip_tseitin_133 ),
inference(cnf,[status(esa)],[zf_stmt_70]) ).
thf('343',plain,
( ~ zip_tseitin_133
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl764]) ).
thf(zip_derived_cl502,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_68 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf('344',plain,
( ~ zip_tseitin_68
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl502]) ).
thf(zip_derived_cl626,plain,
( ( ( op2 @ e23 @ e22 )
!= e23 )
| ~ zip_tseitin_99 ),
inference(cnf,[status(esa)],[zf_stmt_106]) ).
thf('345',plain,
( ~ zip_tseitin_99
| ( ( op2 @ e23 @ e22 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl626]) ).
thf(zip_derived_cl627,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ~ zip_tseitin_99 ),
inference(cnf,[status(esa)],[zf_stmt_106]) ).
thf('346',plain,
( ~ zip_tseitin_99
| ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl627]) ).
thf(zip_derived_cl628,plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
| ~ zip_tseitin_99 ),
inference(cnf,[status(esa)],[zf_stmt_106]) ).
thf('347',plain,
( ~ zip_tseitin_99
| ( ( op2 @ e21 @ e21 )
!= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl628]) ).
thf(zip_derived_cl629,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
| ~ zip_tseitin_99 ),
inference(cnf,[status(esa)],[zf_stmt_106]) ).
thf('348',plain,
( ~ zip_tseitin_99
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl629]) ).
thf(zip_derived_cl2048_462,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2046_463,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26189,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2048,zip_derived_cl2046]) ).
thf(zip_derived_cl202_464,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('349',plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26189,zip_derived_cl202]) ).
thf(zip_derived_cl2049_465,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2048_466,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26210,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2049,zip_derived_cl2048]) ).
thf(zip_derived_cl198_467,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('350',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26210,zip_derived_cl198]) ).
thf(zip_derived_cl2049_468,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2046_469,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26208,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2049,zip_derived_cl2046]) ).
thf(zip_derived_cl201_470,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('351',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26208,zip_derived_cl201]) ).
thf(zip_derived_cl2053_471,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2051_472,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26256,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2053,zip_derived_cl2051]) ).
thf(zip_derived_cl199_473,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('352',plain,
( ( ( op2 @ e21 @ e22 )
!= e21 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26256,zip_derived_cl199]) ).
thf(zip_derived_cl2052,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2051_474,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26244,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2052,zip_derived_cl2051]) ).
thf(zip_derived_cl200_475,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('353',plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26244,zip_derived_cl200]) ).
thf(zip_derived_cl2051_476,plain,
( ( ( op2 @ e21 @ e22 )
= e21 )
<= ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2050,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26233,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2051,zip_derived_cl2050]) ).
thf(zip_derived_cl203_477,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('354',plain,
( ( ( op2 @ e21 @ e22 )
!= e20 )
| ( ( op2 @ e21 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26233,zip_derived_cl203]) ).
thf(zip_derived_cl2053_478,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2050_479,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26255,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2053,zip_derived_cl2050]) ).
thf(zip_derived_cl201_480,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('355',plain,
( ( ( op2 @ e21 @ e22 )
!= e20 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26255,zip_derived_cl201]) ).
thf(zip_derived_cl2052_481,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2050_482,plain,
( ( ( op2 @ e21 @ e22 )
= e20 )
<= ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26243,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2052,zip_derived_cl2050]) ).
thf(zip_derived_cl202_483,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('356',plain,
( ( ( op2 @ e21 @ e22 )
!= e20 )
| ( ( op2 @ e21 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26243,zip_derived_cl202]) ).
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('357',plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl2061_484,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2058_485,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26348,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2061,zip_derived_cl2058]) ).
thf(zip_derived_cl201_486,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('358',plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26348,zip_derived_cl201]) ).
thf(zip_derived_cl2060_487,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2058_488,plain,
( ( ( op2 @ e21 @ e20 )
= e20 )
<= ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26342,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e21 @ e20 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2060,zip_derived_cl2058]) ).
thf(zip_derived_cl202_489,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('359',plain,
( ( ( op2 @ e21 @ e20 )
!= e22 )
| ( ( op2 @ e21 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26342,zip_derived_cl202]) ).
thf(zip_derived_cl2053_490,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
<= ( ( op2 @ e21 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2052_491,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
<= ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl26257,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e22 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2053,zip_derived_cl2052]) ).
thf(zip_derived_cl198_492,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('360',plain,
( ( ( op2 @ e21 @ e22 )
!= e22 )
| ( ( op2 @ e21 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26257,zip_derived_cl198]) ).
thf(zip_derived_cl2047,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2046_493,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
<= ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26175,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2047,zip_derived_cl2046]) ).
thf(zip_derived_cl203_494,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('361',plain,
( ( ( op2 @ e21 @ e23 )
!= e20 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26175,zip_derived_cl203]) ).
thf(zip_derived_cl81,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('362',plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= 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('363',plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl2049_495,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
<= ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2047_496,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26209,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2049,zip_derived_cl2047]) ).
thf(zip_derived_cl199_497,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('364',plain,
( ( ( op2 @ e21 @ e23 )
!= e23 )
| ( ( op2 @ e21 @ e23 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26209,zip_derived_cl199]) ).
thf(zip_derived_cl2048_498,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
<= ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2047_499,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
<= ( ( op2 @ e21 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl26190,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2048,zip_derived_cl2047]) ).
thf(zip_derived_cl200_500,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('365',plain,
( ( ( op2 @ e21 @ e23 )
!= e21 )
| ( ( op2 @ e21 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26190,zip_derived_cl200]) ).
thf(zip_derived_cl2061_501,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
<= ( ( op2 @ e21 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl2060_502,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
<= ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl26350,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e21 @ e20 )
= e22 )
& ( ( op2 @ e21 @ e20 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2061,zip_derived_cl2060]) ).
thf(zip_derived_cl198_503,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('366',plain,
( ( ( op2 @ e21 @ e20 )
!= e23 )
| ( ( op2 @ e21 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26350,zip_derived_cl198]) ).
thf(zip_derived_cl571,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
| ~ zip_tseitin_85 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf('367',plain,
( ~ zip_tseitin_85
| ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl571]) ).
thf(zip_derived_cl555,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
| ~ zip_tseitin_81 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('368',plain,
( ~ zip_tseitin_81
| ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl555]) ).
thf(zip_derived_cl747,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
| ~ zip_tseitin_129 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf('369',plain,
( ~ zip_tseitin_129
| ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl747]) ).
thf(zip_derived_cl651,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ~ zip_tseitin_105 ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf('370',plain,
( ~ zip_tseitin_105
| ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl651]) ).
thf(zip_derived_cl715,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ~ zip_tseitin_121 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('371',plain,
( ~ zip_tseitin_121
| ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl715]) ).
thf(zip_derived_cl2057_504,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
<= ( ( op2 @ e21 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2055_505,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl26314,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2057,zip_derived_cl2055]) ).
thf(zip_derived_cl199_506,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('372',plain,
( ( ( op2 @ e21 @ e21 )
!= e23 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26314,zip_derived_cl199]) ).
thf(zip_derived_cl2056_507,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
<= ( ( op2 @ e21 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2055_508,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl26299,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2056,zip_derived_cl2055]) ).
thf(zip_derived_cl200_509,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('373',plain,
( ( ( op2 @ e21 @ e21 )
!= e22 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26299,zip_derived_cl200]) ).
thf(zip_derived_cl2055_510,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
<= ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl2054_511,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
<= ( ( op2 @ e21 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl26283,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2055,zip_derived_cl2054]) ).
thf(zip_derived_cl203_512,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('374',plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26283,zip_derived_cl203]) ).
thf(zip_derived_cl612,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_95 ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('375',plain,
( ~ zip_tseitin_95
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl612]) ).
thf(zip_derived_cl666,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_109 ),
inference(cnf,[status(esa)],[zf_stmt_22]) ).
thf('376',plain,
( ~ zip_tseitin_109
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl666]) ).
thf(zip_derived_cl63,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl2077,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl781_513,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl26504,plain,
( ( e21 = e23 )
<= ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2077,zip_derived_cl781]) ).
thf(zip_derived_cl199_514,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('377',plain,
( ( op2 @ e20 @ e20 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26504,zip_derived_cl199]) ).
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('378',plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl2069_515,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
<= ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl2068_516,plain,
( ( ( op2 @ e20 @ e22 )
= e22 )
<= ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl26421,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2069,zip_derived_cl2068]) ).
thf(zip_derived_cl198_517,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('379',plain,
( ( ( op2 @ e20 @ e22 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26421,zip_derived_cl198]) ).
thf(zip_derived_cl2064_518,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl2062_519,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl26376,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2064,zip_derived_cl2062]) ).
thf(zip_derived_cl202_520,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('380',plain,
( ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26376,zip_derived_cl202]) ).
thf(zip_derived_cl89,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('381',plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf('382',plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl2074,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl781_521,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl26474,plain,
( ( e21 = e20 )
<= ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2074,zip_derived_cl781]) ).
thf(zip_derived_cl203_522,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('383',plain,
( ( op2 @ e20 @ e20 )
!= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26474,zip_derived_cl203]) ).
thf(zip_derived_cl2076,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl781_523,plain,
( e21
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl26489,plain,
( ( e21 = e22 )
<= ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2076,zip_derived_cl781]) ).
thf(zip_derived_cl200_524,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('384',plain,
( ( op2 @ e20 @ e20 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26489,zip_derived_cl200]) ).
thf(zip_derived_cl2065_525,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl2062_526,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
<= ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl26387,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e20 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2065,zip_derived_cl2062]) ).
thf(zip_derived_cl201_527,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('385',plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26387,zip_derived_cl201]) ).
thf(zip_derived_cl2073_528,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
<= ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl2070_529,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl26460,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2073,zip_derived_cl2070]) ).
thf(zip_derived_cl201_530,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('386',plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26460,zip_derived_cl201]) ).
thf(zip_derived_cl576,plain,
( ( ( op2 @ e20 @ e20 )
!= e23 )
| ~ zip_tseitin_86 ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf('387',plain,
( ~ zip_tseitin_86
| ( ( op2 @ e20 @ e20 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl576]) ).
thf(zip_derived_cl577,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
| ~ zip_tseitin_86 ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf('388',plain,
( ~ zip_tseitin_86
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl577]) ).
thf(zip_derived_cl2072_531,plain,
( ( ( op2 @ e20 @ e21 )
= e22 )
<= ( ( op2 @ e20 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl2070_532,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
<= ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl26448,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e20 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2072,zip_derived_cl2070]) ).
thf(zip_derived_cl202_533,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('389',plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ( ( op2 @ e20 @ e21 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26448,zip_derived_cl202]) ).
thf(zip_derived_cl726,plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ~ zip_tseitin_124 ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf('390',plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ~ zip_tseitin_124 ),
inference(split,[status(esa)],[zip_derived_cl726]) ).
thf(zip_derived_cl727,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ~ zip_tseitin_124 ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf('391',plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ~ zip_tseitin_124 ),
inference(split,[status(esa)],[zip_derived_cl727]) ).
thf(zip_derived_cl662,plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ~ zip_tseitin_108 ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf('392',plain,
( ( ( op2 @ e20 @ e21 )
!= e20 )
| ~ zip_tseitin_108 ),
inference(split,[status(esa)],[zip_derived_cl662]) ).
thf(zip_derived_cl663,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ~ zip_tseitin_108 ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf('393',plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ~ zip_tseitin_108 ),
inference(split,[status(esa)],[zip_derived_cl663]) ).
thf(zip_derived_cl506,plain,
( ( ( op2 @ e20 @ e20 )
!= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ~ zip_tseitin_69 ),
inference(cnf,[status(esa)],[zf_stmt_37]) ).
thf('394',plain,
( ~ zip_tseitin_69
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl507,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_69 ),
inference(cnf,[status(esa)],[zf_stmt_37]) ).
thf('395',plain,
( ~ zip_tseitin_69
| ( ( op2 @ e21 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl507]) ).
thf(zip_derived_cl2065_534,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
<= ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl2064_535,plain,
( ( ( op2 @ e20 @ e23 )
= e22 )
<= ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl26389,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2065,zip_derived_cl2064]) ).
thf(zip_derived_cl198_536,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('396',plain,
( ( ( op2 @ e20 @ e23 )
!= e22 )
| ( ( op2 @ e20 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26389,zip_derived_cl198]) ).
thf(zip_derived_cl685,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_113 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf('397',plain,
( ~ zip_tseitin_113
| ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl685]) ).
thf(zip_derived_cl719,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
| ~ zip_tseitin_122 ),
inference(cnf,[status(esa)],[zf_stmt_26]) ).
thf('398',plain,
( ~ zip_tseitin_122
| ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl719]) ).
thf(zip_derived_cl2037,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2036_537,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
<= ( ( op2 @ e22 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl26063,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2037,zip_derived_cl2036]) ).
thf(zip_derived_cl198_538,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('399',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26063,zip_derived_cl198]) ).
thf(zip_derived_cl2037_539,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2035_540,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
<= ( ( op2 @ e22 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl26062,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2037,zip_derived_cl2035]) ).
thf(zip_derived_cl199_541,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('400',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26062,zip_derived_cl199]) ).
thf(zip_derived_cl2037_542,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
<= ( ( op2 @ e22 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl2034_543,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
<= ( ( op2 @ e22 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl26061,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2037,zip_derived_cl2034]) ).
thf(zip_derived_cl201_544,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('401',plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ( ( op2 @ e22 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26061,zip_derived_cl201]) ).
thf(zip_derived_cl600,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_92 ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf('402',plain,
( ~ zip_tseitin_92
| ( ( op2 @ e21 @ e21 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl600]) ).
thf(zip_derived_cl674,plain,
( ( ( op2 @ e23 @ e21 )
!= e23 )
| ~ zip_tseitin_111 ),
inference(cnf,[status(esa)],[zf_stmt_93]) ).
thf('403',plain,
( ~ zip_tseitin_111
| ( ( op2 @ e23 @ e21 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl674]) ).
thf(zip_derived_cl675,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ~ zip_tseitin_111 ),
inference(cnf,[status(esa)],[zf_stmt_93]) ).
thf('404',plain,
( ~ zip_tseitin_111
| ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl675]) ).
thf(zip_derived_cl503,plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ~ zip_tseitin_69 ),
inference(cnf,[status(esa)],[zf_stmt_37]) ).
thf('405',plain,
( ~ zip_tseitin_69
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e23 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl503]) ).
thf(zip_derived_cl676,plain,
( ( ( op2 @ e22 @ e22 )
!= e21 )
| ~ zip_tseitin_111 ),
inference(cnf,[status(esa)],[zf_stmt_93]) ).
thf('406',plain,
( ~ zip_tseitin_111
| ( ( op2 @ e22 @ e22 )
!= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl676]) ).
thf(zip_derived_cl677,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
| ~ zip_tseitin_111 ),
inference(cnf,[status(esa)],[zf_stmt_93]) ).
thf('407',plain,
( ~ zip_tseitin_111
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl677]) ).
thf(zip_derived_cl512,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_70 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('408',plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_70 ),
inference(split,[status(esa)],[zip_derived_cl512]) ).
thf(zip_derived_cl563,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ~ zip_tseitin_83 ),
inference(cnf,[status(esa)],[zf_stmt_35]) ).
thf('409',plain,
( ~ zip_tseitin_83
| ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl563]) ).
thf(zip_derived_cl659,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ~ zip_tseitin_107 ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf('410',plain,
( ~ zip_tseitin_107
| ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl659]) ).
thf(zip_derived_cl2017_545,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl2015,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl25849,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2017,zip_derived_cl2015]) ).
thf(zip_derived_cl199_546,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('411',plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25849,zip_derived_cl199]) ).
thf(zip_derived_cl2016_547,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl2015_548,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl25829,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2016,zip_derived_cl2015]) ).
thf(zip_derived_cl200_549,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('412',plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25829,zip_derived_cl200]) ).
thf(zip_derived_cl2015_550,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
<= ( ( op2 @ e23 @ e23 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl2014_551,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl25813,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2015,zip_derived_cl2014]) ).
thf(zip_derived_cl203_552,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('413',plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25813,zip_derived_cl203]) ).
thf(zip_derived_cl728,plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ~ zip_tseitin_124 ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf('414',plain,
( ( ( op2 @ e23 @ e23 )
!= e21 )
| ~ zip_tseitin_124 ),
inference(split,[status(esa)],[zip_derived_cl728]) ).
thf(zip_derived_cl2041_553,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
<= ( ( op2 @ e22 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2039_554,plain,
( ( ( op2 @ e22 @ e21 )
= e21 )
<= ( ( op2 @ e22 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl26100,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e22 @ e21 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2041,zip_derived_cl2039]) ).
thf(zip_derived_cl199_555,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('415',plain,
( ( ( op2 @ e22 @ e21 )
!= e23 )
| ( ( op2 @ e22 @ e21 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26100,zip_derived_cl199]) ).
thf(zip_derived_cl2017_556,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl2016_557,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
<= ( ( op2 @ e23 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl25850,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2017,zip_derived_cl2016]) ).
thf(zip_derived_cl198_558,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('416',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e23 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25850,zip_derived_cl198]) ).
thf(zip_derived_cl2017_559,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
<= ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl2014_560,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl25848,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2017,zip_derived_cl2014]) ).
thf(zip_derived_cl201_561,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('417',plain,
( ( ( op2 @ e23 @ e23 )
!= e23 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25848,zip_derived_cl201]) ).
thf(zip_derived_cl2020_562,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl2019_563,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25884,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2020,zip_derived_cl2019]) ).
thf(zip_derived_cl200_564,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('418',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25884,zip_derived_cl200]) ).
thf(zip_derived_cl2020_565,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
<= ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl2018_566,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25883,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2020,zip_derived_cl2018]) ).
thf(zip_derived_cl202_567,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('419',plain,
( ( ( op2 @ e23 @ e22 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25883,zip_derived_cl202]) ).
thf(zip_derived_cl67,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('420',plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl69,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('421',plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl71,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf('422',plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl2028_568,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl2027_569,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25963,plain,
( ( e22 = e21 )
<= ( ( ( op2 @ e23 @ e20 )
= e21 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2028,zip_derived_cl2027]) ).
thf(zip_derived_cl200_570,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('423',plain,
( ( ( op2 @ e23 @ e20 )
!= e21 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25963,zip_derived_cl200]) ).
thf(zip_derived_cl2028_571,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl2026_572,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25962,plain,
( ( e22 = e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2028,zip_derived_cl2026]) ).
thf(zip_derived_cl202_573,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf('424',plain,
( ( ( op2 @ e23 @ e20 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25962,zip_derived_cl202]) ).
thf(zip_derived_cl2019_574,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl2018_575,plain,
( ( ( op2 @ e23 @ e22 )
= e20 )
<= ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl25873,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2019,zip_derived_cl2018]) ).
thf(zip_derived_cl203_576,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('425',plain,
( ( ( op2 @ e23 @ e22 )
!= e20 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25873,zip_derived_cl203]) ).
thf(zip_derived_cl2025_577,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl2024_578,plain,
( ( ( op2 @ e23 @ e21 )
= e22 )
<= ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl25946,plain,
( ( e23 = e22 )
<= ( ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2025,zip_derived_cl2024]) ).
thf(zip_derived_cl198_579,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('426',plain,
( ( ( op2 @ e23 @ e21 )
!= e22 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25946,zip_derived_cl198]) ).
thf(zip_derived_cl2025_580,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl2023_581,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
<= ( ( op2 @ e23 @ e21 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl25945,plain,
( ( e23 = e21 )
<= ( ( ( op2 @ e23 @ e21 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2025,zip_derived_cl2023]) ).
thf(zip_derived_cl199_582,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('427',plain,
( ( ( op2 @ e23 @ e21 )
!= e21 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25945,zip_derived_cl199]) ).
thf(zip_derived_cl2025_583,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
<= ( ( op2 @ e23 @ e21 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl2022_584,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
<= ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl25944,plain,
( ( e23 = e20 )
<= ( ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2025,zip_derived_cl2022]) ).
thf(zip_derived_cl201_585,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf('428',plain,
( ( ( op2 @ e23 @ e21 )
!= e20 )
| ( ( op2 @ e23 @ e21 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25944,zip_derived_cl201]) ).
thf(zip_derived_cl2027_586,plain,
( ( ( op2 @ e23 @ e20 )
= e21 )
<= ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl2026_587,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
<= ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl25956,plain,
( ( e21 = e20 )
<= ( ( ( op2 @ e23 @ e20 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2027,zip_derived_cl2026]) ).
thf(zip_derived_cl203_588,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf('429',plain,
( ( ( op2 @ e23 @ e20 )
!= e21 )
| ( ( op2 @ e23 @ e20 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25956,zip_derived_cl203]) ).
thf(zip_derived_cl517,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_71 ),
inference(cnf,[status(esa)],[zf_stmt_24]) ).
thf('430',plain,
( ~ zip_tseitin_71
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl517]) ).
thf(zip_derived_cl775,plain,
( zip_tseitin_71
| zip_tseitin_70
| zip_tseitin_69
| zip_tseitin_68 ),
inference(cnf,[status(esa)],[zf_stmt_140]) ).
thf('431',plain,
( zip_tseitin_70
| zip_tseitin_71
| zip_tseitin_68
| zip_tseitin_69 ),
inference(split,[status(esa)],[zip_derived_cl775]) ).
thf(zip_derived_cl508,plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ~ zip_tseitin_70 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('432',plain,
( ( ( op2 @ e23 @ e23 )
!= e22 )
| ~ zip_tseitin_70
| ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl508]) ).
thf('433',plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl2030_589,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
<= ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2014_590,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl168,plain,
( ( op2 @ e22 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl25792,plain,
( ( ( op2 @ e22 @ e23 )
!= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2014,zip_derived_cl168]) ).
thf(zip_derived_cl28352,plain,
( ( e20 != e20 )
<= ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2030,zip_derived_cl25792]) ).
thf('434',plain,
( ( ( op2 @ e22 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e23 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28352]) ).
thf('435',plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl2066_591,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
<= ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl2028_592,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
<= ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1859_593,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl25795_594,plain,
( ( ( h4 @ e12 )
= ( op2 @ e23 @ e20 ) )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2014,zip_derived_cl795]) ).
thf(zip_derived_cl18820,plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1566]) ).
thf(zip_derived_cl796_595,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl43808,plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ ( h4 @ e12 ) ) )
<= ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18820,zip_derived_cl796]) ).
thf(zip_derived_cl43809,plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25795,zip_derived_cl43808]) ).
thf(zip_derived_cl2014_596,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl43815,plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ e20 @ ( op2 @ e23 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl43809,zip_derived_cl2014]) ).
thf(zip_derived_cl44188,plain,
( ( ( h4 @ e11 )
!= ( op2 @ e20 @ ( op2 @ e23 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1859,zip_derived_cl43815]) ).
thf(zip_derived_cl796_597,plain,
( ( h4 @ e11 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2014_598,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
<= ( ( op2 @ e23 @ e23 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl44192,plain,
( ( e20
!= ( op2 @ e20 @ ( op2 @ e23 @ e20 ) ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44188,zip_derived_cl796,zip_derived_cl2014]) ).
thf(zip_derived_cl44208,plain,
( ( e20
!= ( op2 @ e20 @ e22 ) )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2028,zip_derived_cl44192]) ).
thf(zip_derived_cl44216,plain,
( ( e20 != e20 )
<= ( ( ( h4 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2066,zip_derived_cl44208]) ).
thf('436',plain,
( ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
| ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op2 @ e23 @ e23 )
!= e20 )
| ( ( op2 @ e23 @ e20 )
!= e22 )
| ( ( op2 @ e20 @ e22 )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl44216]) ).
thf('437',plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1865_599,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1833_600,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl133_601,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24418,plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1833,zip_derived_cl133]) ).
thf(zip_derived_cl27874,plain,
( ( e13 != e13 )
<= ( ( ( op1 @ e13 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1865,zip_derived_cl24418]) ).
thf('438',plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e13 @ e11 )
!= e13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27874]) ).
thf(zip_derived_cl1880_602,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1848,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
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_cl24611,plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1848,zip_derived_cl136]) ).
thf(zip_derived_cl28073,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e10 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1880,zip_derived_cl24611]) ).
thf('439',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e10 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28073]) ).
thf(zip_derived_cl1879,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl119,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl778_603,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl24161,plain,
( e11
!= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl778]) ).
thf(zip_derived_cl29447,plain,
( ( e11 != e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1879,zip_derived_cl24161]) ).
thf('440',plain,
( ( op1 @ e10 @ e11 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl29447]) ).
thf(zip_derived_cl24165_604,plain,
( e12
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl777,zip_derived_cl778]) ).
thf(zip_derived_cl1881,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl29474,plain,
( ( e12 = e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24165,zip_derived_cl1881]) ).
thf(zip_derived_cl192,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('441',plain,
( ( op1 @ e10 @ e11 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29474,zip_derived_cl192]) ).
thf('442',plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1880_605,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1864,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl137,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24820,plain,
( ( ( op1 @ e10 @ e11 )
!= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1864,zip_derived_cl137]) ).
thf(zip_derived_cl28274,plain,
( ( e12 != e12 )
<= ( ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e10 @ e11 )
= e12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1880,zip_derived_cl24820]) ).
thf('443',plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e10 @ e11 )
!= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28274]) ).
thf(zip_derived_cl1867,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl143,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl778_606,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl24164,plain,
( e11
!= ( op1 @ e11 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl778]) ).
thf(zip_derived_cl29460,plain,
( ( e11 != e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1867,zip_derived_cl24164]) ).
thf('444',plain,
( ( op1 @ e11 @ e10 )
!= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl29460]) ).
thf(zip_derived_cl24158_607,plain,
( e13
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl776,zip_derived_cl777]) ).
thf(zip_derived_cl1850,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl29396,plain,
( ( e13 = e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24158,zip_derived_cl1850]) ).
thf(zip_derived_cl195,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('445',plain,
( ( op1 @ e12 @ e10 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29396,zip_derived_cl195]) ).
thf(zf_stmt_141,axiom,
( zip_tseitin_58
=> ( ( ( op1 @ e12 @ e11 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e13 @ e13 )
!= e11 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ) ).
thf(zip_derived_cl459,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ~ zip_tseitin_58 ),
inference(cnf,[status(esa)],[zf_stmt_141]) ).
thf('446',plain,
( ~ zip_tseitin_58
| ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl459]) ).
thf(zip_derived_cl428,plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ~ zip_tseitin_51 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('447',plain,
( ~ zip_tseitin_51
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl428]) ).
thf(zf_stmt_142,axiom,
( zip_tseitin_26
=> ( ( ( op1 @ e12 @ e11 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ) ).
thf(zip_derived_cl331,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_26 ),
inference(cnf,[status(esa)],[zf_stmt_142]) ).
thf('448',plain,
( ~ zip_tseitin_26
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl331]) ).
thf(zf_stmt_143,axiom,
( zip_tseitin_49
=> ( ( ( op1 @ e11 @ e13 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ) ).
thf(zip_derived_cl420,plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
| ~ zip_tseitin_49 ),
inference(cnf,[status(esa)],[zf_stmt_143]) ).
thf('449',plain,
( ~ zip_tseitin_49
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl420]) ).
thf(zf_stmt_144,axiom,
( zip_tseitin_65
=> ( ( ( op1 @ e11 @ e13 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zip_derived_cl484,plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
| ~ zip_tseitin_65 ),
inference(cnf,[status(esa)],[zf_stmt_144]) ).
thf('450',plain,
( ~ zip_tseitin_65
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl484]) ).
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_cl40,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('451',plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zf_stmt_145,axiom,
( zip_tseitin_61
=> ( ( ( op1 @ e11 @ e12 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e13 @ e13 )
!= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ) ).
thf(zip_derived_cl468,plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ~ zip_tseitin_61 ),
inference(cnf,[status(esa)],[zf_stmt_145]) ).
thf('452',plain,
( ~ zip_tseitin_61
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl468]) ).
thf(zip_derived_cl436,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ~ zip_tseitin_53 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('453',plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ~ zip_tseitin_53 ),
inference(split,[status(esa)],[zip_derived_cl436]) ).
thf(zip_derived_cl1879_608,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1878,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl24999,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1879,zip_derived_cl1878]) ).
thf(zip_derived_cl197,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('454',plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24999,zip_derived_cl197]) ).
thf(zf_stmt_146,axiom,
( zip_tseitin_11
=> ( ( ( op1 @ e13 @ e11 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) ) ).
thf(zip_derived_cl271,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_146]) ).
thf('455',plain,
( ~ zip_tseitin_11
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl271]) ).
thf('456',plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zf_stmt_147,axiom,
( zip_tseitin_37
=> ( ( ( op1 @ e11 @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ) ).
thf(zip_derived_cl374,plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ~ zip_tseitin_37 ),
inference(cnf,[status(esa)],[zf_stmt_147]) ).
thf('457',plain,
( ~ zip_tseitin_37
| ( ( op1 @ e12 @ e12 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl374]) ).
thf(zf_stmt_148,axiom,
( zip_tseitin_48
=> ( ( ( op1 @ e10 @ e13 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ) ).
thf(zip_derived_cl419,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ~ zip_tseitin_48 ),
inference(cnf,[status(esa)],[zf_stmt_148]) ).
thf('458',plain,
( ~ zip_tseitin_48
| ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl419]) ).
thf(zf_stmt_149,axiom,
( zip_tseitin_60
=> ( ( ( op1 @ e10 @ e12 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e13 @ e13 )
!= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ) ).
thf(zip_derived_cl467,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ~ zip_tseitin_60 ),
inference(cnf,[status(esa)],[zf_stmt_149]) ).
thf('459',plain,
( ~ zip_tseitin_60
| ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl467]) ).
thf(zip_derived_cl421,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ~ zip_tseitin_49 ),
inference(cnf,[status(esa)],[zf_stmt_143]) ).
thf('460',plain,
( ~ zip_tseitin_49
| ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl421]) ).
thf(zf_stmt_150,axiom,
( zip_tseitin_43
=> ( ( ( op1 @ e13 @ e11 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ) ).
thf(zip_derived_cl398,plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ~ zip_tseitin_43 ),
inference(cnf,[status(esa)],[zf_stmt_150]) ).
thf('461',plain,
( ~ zip_tseitin_43
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl398]) ).
thf(zip_derived_cl1853_609,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1852,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl24673,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1853,zip_derived_cl1852]) ).
thf(zip_derived_cl192_610,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('462',plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24673,zip_derived_cl192]) ).
thf(zf_stmt_151,axiom,
( zip_tseitin_0
=> ( ( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) )
& ( ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) )
& ( ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e10 ) )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl222,plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_151]) ).
thf('463',plain,
( ~ zip_tseitin_0
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl222]) ).
thf(zip_derived_cl1853_611,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1851_612,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl24672,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1853,zip_derived_cl1851]) ).
thf(zip_derived_cl193_613,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('464',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24672,zip_derived_cl193]) ).
thf(zf_stmt_152,axiom,
( zip_tseitin_31
=> ( ( ( op1 @ e13 @ e12 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ) ).
thf(zip_derived_cl348,plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ~ zip_tseitin_31 ),
inference(cnf,[status(esa)],[zf_stmt_152]) ).
thf('465',plain,
( ~ zip_tseitin_31
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl348]) ).
thf(zf_stmt_153,axiom,
( zip_tseitin_30
=> ( ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ) ).
thf(zip_derived_cl344,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_30 ),
inference(cnf,[status(esa)],[zf_stmt_153]) ).
thf('466',plain,
( ~ zip_tseitin_30
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl344]) ).
thf(zf_stmt_154,axiom,
( zip_tseitin_2
=> ( ( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e12 ) )
& ( ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) )
& ( ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e12 ) )
& ( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e12 ) )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ) ).
thf(zip_derived_cl232,plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_154]) ).
thf('467',plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ~ zip_tseitin_2 ),
inference(split,[status(esa)],[zip_derived_cl232]) ).
thf(zip_derived_cl466,plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ~ zip_tseitin_60 ),
inference(cnf,[status(esa)],[zf_stmt_149]) ).
thf('468',plain,
( ~ zip_tseitin_60
| ( ( op1 @ e13 @ e13 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl466]) ).
thf(zf_stmt_155,axiom,
( zip_tseitin_9
=> ( ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) ) ).
thf(zip_derived_cl262,plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_155]) ).
thf('469',plain,
( ~ zip_tseitin_9
| ( ( op1 @ e10 @ e10 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl262]) ).
thf(zf_stmt_156,axiom,
( zip_tseitin_45
=> ( ( ( op1 @ e11 @ e12 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ) ).
thf(zip_derived_cl406,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_45 ),
inference(cnf,[status(esa)],[zf_stmt_156]) ).
thf('470',plain,
( ~ zip_tseitin_45
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl406]) ).
thf(zf_stmt_157,axiom,
( zip_tseitin_22
=> ( ( ( op1 @ e12 @ e10 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ) ).
thf(zip_derived_cl315,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_157]) ).
thf('471',plain,
( ~ zip_tseitin_22
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl315]) ).
thf(zip_derived_cl347,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
| ~ zip_tseitin_30 ),
inference(cnf,[status(esa)],[zf_stmt_153]) ).
thf('472',plain,
( ~ zip_tseitin_30
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl347]) ).
thf(zip_derived_cl1873_614,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1872_615,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl24935,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e10 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1873,zip_derived_cl1872]) ).
thf(zip_derived_cl192_616,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('473',plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24935,zip_derived_cl192]) ).
thf(zf_stmt_158,axiom,
( zip_tseitin_18
=> ( ( ( op1 @ e12 @ e13 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ) ).
thf(zip_derived_cl297,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_158]) ).
thf('474',plain,
( ~ zip_tseitin_18
| ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl297]) ).
thf(zf_stmt_159,axiom,
( zip_tseitin_34
=> ( ( ( op1 @ e12 @ e13 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ) ).
thf(zip_derived_cl361,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
| ~ zip_tseitin_34 ),
inference(cnf,[status(esa)],[zf_stmt_159]) ).
thf('475',plain,
( ~ zip_tseitin_34
| ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl361]) ).
thf(zf_stmt_160,axiom,
( zip_tseitin_46
=> ( ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ) ).
thf(zip_derived_cl408,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_46 ),
inference(cnf,[status(esa)],[zf_stmt_160]) ).
thf('476',plain,
( ~ zip_tseitin_46
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl408]) ).
thf(zf_stmt_161,axiom,
( zip_tseitin_66
=> ( ( ( op1 @ e12 @ e13 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zip_derived_cl489,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
| ~ zip_tseitin_66 ),
inference(cnf,[status(esa)],[zf_stmt_161]) ).
thf('477',plain,
( ~ zip_tseitin_66
| ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl489]) ).
thf(zip_derived_cl456,plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ~ zip_tseitin_58 ),
inference(cnf,[status(esa)],[zf_stmt_141]) ).
thf('478',plain,
( ~ zip_tseitin_58
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl456]) ).
thf(zip_derived_cl330,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_26 ),
inference(cnf,[status(esa)],[zf_stmt_142]) ).
thf('479',plain,
( ~ zip_tseitin_26
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl330]) ).
thf(zf_stmt_162,axiom,
( zip_tseitin_1
=> ( ( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) )
& ( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) )
& ( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) )
& ( ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ) ).
thf(zip_derived_cl226,plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_162]) ).
thf('480',plain,
( ~ zip_tseitin_1
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl226]) ).
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('481',plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl1877_617,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1874_618,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl24976,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl1874]) ).
thf(zip_derived_cl195_619,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('482',plain,
( ( ( op1 @ e10 @ e12 )
!= e13 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24976,zip_derived_cl195]) ).
thf(zip_derived_cl417,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
| ~ zip_tseitin_48 ),
inference(cnf,[status(esa)],[zf_stmt_148]) ).
thf('483',plain,
( ~ zip_tseitin_48
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl417]) ).
thf(zf_stmt_163,axiom,
( zip_tseitin_10
=> ( ( ( op1 @ e12 @ e11 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) ) ).
thf(zip_derived_cl266,plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_163]) ).
thf('484',plain,
( ~ zip_tseitin_10
| ( ( op1 @ e10 @ e10 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl266]) ).
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('485',plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl1880_620,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1879_621,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl25012,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1880,zip_derived_cl1879]) ).
thf(zip_derived_cl194,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('486',plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25012,zip_derived_cl194]) ).
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('487',plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
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('488',plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
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('489',plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl1839_622,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1838_623,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24483,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1839,zip_derived_cl1838]) ).
thf(zip_derived_cl197_624,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('490',plain,
( ( ( op1 @ e12 @ e13 )
!= e10 )
| ( ( op1 @ e12 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24483,zip_derived_cl197]) ).
thf(zip_derived_cl396,plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ~ zip_tseitin_43 ),
inference(cnf,[status(esa)],[zf_stmt_150]) ).
thf('491',plain,
( ~ zip_tseitin_43
| ( ( op1 @ e13 @ e11 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl396]) ).
thf(zf_stmt_164,axiom,
( zip_tseitin_13
=> ( ( ( op1 @ e11 @ e12 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ) ).
thf(zip_derived_cl276,plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ~ zip_tseitin_13 ),
inference(cnf,[status(esa)],[zf_stmt_164]) ).
thf('492',plain,
( ~ zip_tseitin_13
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl276]) ).
thf(zip_derived_cl279,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ~ zip_tseitin_13 ),
inference(cnf,[status(esa)],[zf_stmt_164]) ).
thf('493',plain,
( ~ zip_tseitin_13
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl279]) ).
thf(zip_derived_cl471,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ~ zip_tseitin_61 ),
inference(cnf,[status(esa)],[zf_stmt_145]) ).
thf('494',plain,
( ~ zip_tseitin_61
| ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl471]) ).
thf(zf_stmt_165,axiom,
( zip_tseitin_32
=> ( ( ( op1 @ e10 @ e13 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ) ).
thf(zip_derived_cl353,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
| ~ zip_tseitin_32 ),
inference(cnf,[status(esa)],[zf_stmt_165]) ).
thf('495',plain,
( ~ zip_tseitin_32
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl353]) ).
thf(zf_stmt_166,axiom,
( zip_tseitin_3
=> ( ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) )
& ( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e13 ) )
& ( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) )
& ( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e13 ) )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zip_derived_cl238,plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_166]) ).
thf('496',plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
| ~ zip_tseitin_3
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl238]) ).
thf(zip_derived_cl1836_625,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1834,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl24445,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1836,zip_derived_cl1834]) ).
thf(zip_derived_cl196,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('497',plain,
( ( ( op1 @ e13 @ e10 )
!= e10 )
| ( ( op1 @ e13 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24445,zip_derived_cl196]) ).
thf(zf_stmt_167,axiom,
( zip_tseitin_40
=> ( ( ( op1 @ e10 @ e11 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ) ).
thf(zip_derived_cl384,plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
| ~ zip_tseitin_40 ),
inference(cnf,[status(esa)],[zf_stmt_167]) ).
thf('498',plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
| ~ zip_tseitin_40 ),
inference(split,[status(esa)],[zip_derived_cl384]) ).
thf(zip_derived_cl385,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ~ zip_tseitin_40 ),
inference(cnf,[status(esa)],[zf_stmt_167]) ).
thf('499',plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ~ zip_tseitin_40 ),
inference(split,[status(esa)],[zip_derived_cl385]) ).
thf(zip_derived_cl439,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ~ zip_tseitin_53 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('500',plain,
( ~ zip_tseitin_53
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl439]) ).
thf(zip_derived_cl1869_626,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1867_627,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl24875,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1869,zip_derived_cl1867]) ).
thf(zip_derived_cl193_628,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('501',plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24875,zip_derived_cl193]) ).
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('502',plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl1864_629,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1862_630,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl24821,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1864,zip_derived_cl1862]) ).
thf(zip_derived_cl196_631,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('503',plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24821,zip_derived_cl196]) ).
thf(zf_stmt_168,axiom,
( zip_tseitin_15
=> ( ( ( op1 @ e13 @ e12 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ) ).
thf(zip_derived_cl284,plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_168]) ).
thf('504',plain,
( ~ zip_tseitin_15
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl284]) ).
thf(zip_derived_cl287,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_168]) ).
thf('505',plain,
( ~ zip_tseitin_15
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl287]) ).
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('506',plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl30,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('507',plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf(zip_derived_cl1876,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1875_632,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl24969,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e10 @ e12 )
= e11 )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1876,zip_derived_cl1875]) ).
thf(zip_derived_cl194_633,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('508',plain,
( ( ( op1 @ e10 @ e12 )
!= e11 )
| ( ( op1 @ e10 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24969,zip_derived_cl194]) ).
thf(zip_derived_cl1875_634,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
<= ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1874_635,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl24959,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1875,zip_derived_cl1874]) ).
thf(zip_derived_cl197_636,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('509',plain,
( ( ( op1 @ e10 @ e12 )
!= e11 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24959,zip_derived_cl197]) ).
thf(zf_stmt_169,axiom,
( zip_tseitin_39
=> ( ( ( op1 @ e13 @ e10 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ) ).
thf(zip_derived_cl380,plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
| ~ zip_tseitin_39 ),
inference(cnf,[status(esa)],[zf_stmt_169]) ).
thf('510',plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
| ~ zip_tseitin_39 ),
inference(split,[status(esa)],[zip_derived_cl380]) ).
thf(zip_derived_cl1836_637,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1835_638,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl24446,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1836,zip_derived_cl1835]) ).
thf(zip_derived_cl194_639,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('511',plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24446,zip_derived_cl194]) ).
thf(zip_derived_cl316,plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('512',plain,
( ~ zip_tseitin_23
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl316]) ).
thf(zf_stmt_170,axiom,
( zip_tseitin_64
=> ( ( ( op1 @ e10 @ e13 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zip_derived_cl483,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_64 ),
inference(cnf,[status(esa)],[zf_stmt_170]) ).
thf('513',plain,
( ~ zip_tseitin_64
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl483]) ).
thf(zip_derived_cl491,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_66 ),
inference(cnf,[status(esa)],[zf_stmt_161]) ).
thf('514',plain,
( ~ zip_tseitin_66
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl491]) ).
thf(zip_derived_cl351,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
| ~ zip_tseitin_31 ),
inference(cnf,[status(esa)],[zf_stmt_152]) ).
thf('515',plain,
( ~ zip_tseitin_31
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl351]) ).
thf(zip_derived_cl363,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ~ zip_tseitin_34 ),
inference(cnf,[status(esa)],[zf_stmt_159]) ).
thf('516',plain,
( ~ zip_tseitin_34
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl363]) ).
thf(zf_stmt_171,axiom,
( zip_tseitin_35
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ) ).
thf(zip_derived_cl367,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ~ zip_tseitin_35 ),
inference(cnf,[status(esa)],[zf_stmt_171]) ).
thf('517',plain,
( ~ zip_tseitin_35
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl367]) ).
thf(zip_derived_cl399,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ~ zip_tseitin_43 ),
inference(cnf,[status(esa)],[zf_stmt_150]) ).
thf('518',plain,
( ~ zip_tseitin_43
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl399]) ).
thf(zf_stmt_172,axiom,
( zip_tseitin_27
=> ( ( ( op1 @ e13 @ e11 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ) ).
thf(zip_derived_cl334,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_27 ),
inference(cnf,[status(esa)],[zf_stmt_172]) ).
thf('519',plain,
( ~ zip_tseitin_27
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl334]) ).
thf(zip_derived_cl485,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ~ zip_tseitin_65 ),
inference(cnf,[status(esa)],[zf_stmt_144]) ).
thf('520',plain,
( ~ zip_tseitin_65
| ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl319,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('521',plain,
( ~ zip_tseitin_23
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl319]) ).
thf(zip_derived_cl1868_640,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1867_641,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl24865,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1868,zip_derived_cl1867]) ).
thf(zip_derived_cl194_642,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('522',plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24865,zip_derived_cl194]) ).
thf(zip_derived_cl1867_643,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
<= ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1866_644,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl24855,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1867,zip_derived_cl1866]) ).
thf(zip_derived_cl197_645,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('523',plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24855,zip_derived_cl197]) ).
thf(zip_derived_cl335,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_27 ),
inference(cnf,[status(esa)],[zf_stmt_172]) ).
thf('524',plain,
( ~ zip_tseitin_27
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl335]) ).
thf(zip_derived_cl373,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
| ~ zip_tseitin_37 ),
inference(cnf,[status(esa)],[zf_stmt_147]) ).
thf('525',plain,
( ~ zip_tseitin_37
| ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl373]) ).
thf(zip_derived_cl362,plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ~ zip_tseitin_34 ),
inference(cnf,[status(esa)],[zf_stmt_159]) ).
thf('526',plain,
( ~ zip_tseitin_34
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl362]) ).
thf(zip_derived_cl366,plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ~ zip_tseitin_35 ),
inference(cnf,[status(esa)],[zf_stmt_171]) ).
thf('527',plain,
( ~ zip_tseitin_35
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl366]) ).
thf(zip_derived_cl352,plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ~ zip_tseitin_32 ),
inference(cnf,[status(esa)],[zf_stmt_165]) ).
thf('528',plain,
( ~ zip_tseitin_32
| ( ( op1 @ e10 @ e13 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl352]) ).
thf(zip_derived_cl355,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ~ zip_tseitin_32 ),
inference(cnf,[status(esa)],[zf_stmt_165]) ).
thf('529',plain,
( ~ zip_tseitin_32
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl355]) ).
thf(zf_stmt_173,axiom,
( zip_tseitin_5
=> ( ( ( op1 @ e11 @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl245,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_173]) ).
thf('530',plain,
( ~ zip_tseitin_5
| ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl245]) ).
thf(zip_derived_cl260,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_155]) ).
thf('531',plain,
( ~ zip_tseitin_9
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl260]) ).
thf(zf_stmt_174,axiom,
( zip_tseitin_25
=> ( ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ) ).
thf(zip_derived_cl324,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_25 ),
inference(cnf,[status(esa)],[zf_stmt_174]) ).
thf('532',plain,
( ~ zip_tseitin_25
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl324]) ).
thf(zf_stmt_175,axiom,
( zip_tseitin_28
=> ( ( ( op1 @ e10 @ e12 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ) ).
thf(zip_derived_cl339,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_175]) ).
thf('533',plain,
( ~ zip_tseitin_28
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl339]) ).
thf(zf_stmt_176,axiom,
( zip_tseitin_17
=> ( ( ( op1 @ e11 @ e13 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ) ).
thf(zip_derived_cl293,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_176]) ).
thf('534',plain,
( ~ zip_tseitin_17
| ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl293]) ).
thf(zip_derived_cl247,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_173]) ).
thf('535',plain,
( ~ zip_tseitin_5
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl247]) ).
thf(zip_derived_cl246,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_173]) ).
thf('536',plain,
( ~ zip_tseitin_5
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl246]) ).
thf(zip_derived_cl465,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
| ~ zip_tseitin_60 ),
inference(cnf,[status(esa)],[zf_stmt_149]) ).
thf('537',plain,
( ~ zip_tseitin_60
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl465]) ).
thf(zf_stmt_177,axiom,
( zip_tseitin_44
=> ( ( ( op1 @ e10 @ e12 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ) ).
thf(zip_derived_cl401,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
| ~ zip_tseitin_44 ),
inference(cnf,[status(esa)],[zf_stmt_177]) ).
thf('538',plain,
( ~ zip_tseitin_44
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl401]) ).
thf(zf_stmt_178,axiom,
( zip_tseitin_62
=> ( ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e13 @ e13 )
!= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ) ).
thf(zip_derived_cl473,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_62 ),
inference(cnf,[status(esa)],[zf_stmt_178]) ).
thf('539',plain,
( ~ zip_tseitin_62
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl473]) ).
thf(zip_derived_cl472,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_62 ),
inference(cnf,[status(esa)],[zf_stmt_178]) ).
thf('540',plain,
( ~ zip_tseitin_62
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl472]) ).
thf(zf_stmt_179,axiom,
( zip_tseitin_7
=> ( ( ( op1 @ e13 @ e10 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl255,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_179]) ).
thf('541',plain,
( ~ zip_tseitin_7
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl255]) ).
thf(zf_stmt_180,axiom,
( zip_tseitin_6
=> ( ( ( op1 @ e12 @ e10 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl251,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_180]) ).
thf('542',plain,
( ~ zip_tseitin_6
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl251]) ).
thf(zip_derived_cl250,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_180]) ).
thf('543',plain,
( ~ zip_tseitin_6
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl250]) ).
thf(zf_stmt_181,axiom,
( zip_tseitin_4
=> ( ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl241,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_181]) ).
thf('544',plain,
( ~ zip_tseitin_4
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl241]) ).
thf(zip_derived_cl240,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_181]) ).
thf('545',plain,
( ~ zip_tseitin_4
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl240]) ).
thf(zf_stmt_182,axiom,
( zip_tseitin_52
=> ( ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e13 )
!= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ) ).
thf(zip_derived_cl433,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_52 ),
inference(cnf,[status(esa)],[zf_stmt_182]) ).
thf('546',plain,
( ~ zip_tseitin_52
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl433]) ).
thf(zf_stmt_183,axiom,
( zip_tseitin_57
=> ( ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e13 @ e13 )
!= e11 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ) ).
thf(zip_derived_cl453,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_57 ),
inference(cnf,[status(esa)],[zf_stmt_183]) ).
thf('547',plain,
( ~ zip_tseitin_57
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl453]) ).
thf(zip_derived_cl452,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_57 ),
inference(cnf,[status(esa)],[zf_stmt_183]) ).
thf('548',plain,
( ~ zip_tseitin_57
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl452]) ).
thf(zf_stmt_184,axiom,
( zip_tseitin_41
=> ( ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ) ).
thf(zip_derived_cl389,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_41 ),
inference(cnf,[status(esa)],[zf_stmt_184]) ).
thf('549',plain,
( ~ zip_tseitin_41
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl389]) ).
thf(zip_derived_cl388,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_41 ),
inference(cnf,[status(esa)],[zf_stmt_184]) ).
thf('550',plain,
( ~ zip_tseitin_41
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl388]) ).
thf(zip_derived_cl337,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_175]) ).
thf('551',plain,
( ~ zip_tseitin_28
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl337]) ).
thf(zf_stmt_185,axiom,
( zip_tseitin_36
=> ( ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ) ).
thf(zip_derived_cl369,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_36 ),
inference(cnf,[status(esa)],[zf_stmt_185]) ).
thf('552',plain,
( ~ zip_tseitin_36
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl369]) ).
thf(zf_stmt_186,axiom,
( zip_tseitin_14
=> ( ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ) ).
thf(zip_derived_cl281,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_14 ),
inference(cnf,[status(esa)],[zf_stmt_186]) ).
thf('553',plain,
( ~ zip_tseitin_14
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl281]) ).
thf(zip_derived_cl280,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_14 ),
inference(cnf,[status(esa)],[zf_stmt_186]) ).
thf('554',plain,
( ~ zip_tseitin_14
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl280]) ).
thf(zip_derived_cl292,plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_176]) ).
thf('555',plain,
( ~ zip_tseitin_17
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl292]) ).
thf(zip_derived_cl277,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
| ~ zip_tseitin_13 ),
inference(cnf,[status(esa)],[zf_stmt_164]) ).
thf('556',plain,
( ~ zip_tseitin_13
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl277]) ).
thf(zip_derived_cl261,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_155]) ).
thf('557',plain,
( ~ zip_tseitin_9
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl261]) ).
thf(zip_derived_cl237,plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_166]) ).
thf('558',plain,
( ~ zip_tseitin_3
| ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl237]) ).
thf(zip_derived_cl1865_646,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1864_647,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl24836,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1865,zip_derived_cl1864]) ).
thf(zip_derived_cl192_648,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('559',plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24836,zip_derived_cl192]) ).
thf(zip_derived_cl354,plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ~ zip_tseitin_32 ),
inference(cnf,[status(esa)],[zf_stmt_165]) ).
thf('560',plain,
( ~ zip_tseitin_32
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl354]) ).
thf(zip_derived_cl437,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
| ~ zip_tseitin_53 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('561',plain,
( ~ zip_tseitin_53
| ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl437]) ).
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('562',plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl1865_649,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1862_650,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl24834,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1865,zip_derived_cl1862]) ).
thf(zip_derived_cl195_651,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('563',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24834,zip_derived_cl195]) ).
thf(zip_derived_cl1881_652,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1879_653,plain,
( ( ( op1 @ e10 @ e11 )
= e11 )
<= ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl25024,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1881,zip_derived_cl1879]) ).
thf(zip_derived_cl193_654,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('564',plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25024,zip_derived_cl193]) ).
thf(zip_derived_cl387,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ~ zip_tseitin_40 ),
inference(cnf,[status(esa)],[zf_stmt_167]) ).
thf('565',plain,
( ~ zip_tseitin_40
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl387]) ).
thf(zip_derived_cl333,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ~ zip_tseitin_27 ),
inference(cnf,[status(esa)],[zf_stmt_172]) ).
thf('566',plain,
( ~ zip_tseitin_27
| ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl333]) ).
thf(zip_derived_cl285,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_168]) ).
thf('567',plain,
( ~ zip_tseitin_15
| ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl285]) ).
thf(zip_derived_cl349,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ~ zip_tseitin_31 ),
inference(cnf,[status(esa)],[zf_stmt_152]) ).
thf('568',plain,
( ~ zip_tseitin_31
| ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl349]) ).
thf(zip_derived_cl360,plain,
( ( ( op1 @ e12 @ e13 )
!= e12 )
| ~ zip_tseitin_34 ),
inference(cnf,[status(esa)],[zf_stmt_159]) ).
thf('569',plain,
( ~ zip_tseitin_34
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl360]) ).
thf(zf_stmt_187,axiom,
( zip_tseitin_19
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ) ).
thf(zip_derived_cl300,plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ~ zip_tseitin_19 ),
inference(cnf,[status(esa)],[zf_stmt_187]) ).
thf('570',plain,
( ~ zip_tseitin_19
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl300]) ).
thf(zip_derived_cl364,plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ~ zip_tseitin_35 ),
inference(cnf,[status(esa)],[zf_stmt_171]) ).
thf('571',plain,
( ~ zip_tseitin_35
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl364]) ).
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('572',plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl1872_655,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1871,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl24916,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e10 @ e13 )
= e11 )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1872,zip_derived_cl1871]) ).
thf(zip_derived_cl194_656,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('573',plain,
( ( ( op1 @ e10 @ e13 )
!= e11 )
| ( ( op1 @ e10 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24916,zip_derived_cl194]) ).
thf(zip_derived_cl1881_657,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1880_658,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl25025,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e10 @ e11 )
= e12 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1881,zip_derived_cl1880]) ).
thf(zip_derived_cl192_659,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('574',plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
| ( ( op1 @ e10 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25025,zip_derived_cl192]) ).
thf(zip_derived_cl1849_660,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1846_661,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24626,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1849,zip_derived_cl1846]) ).
thf(zip_derived_cl195_662,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('575',plain,
( ( ( op1 @ e12 @ e11 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24626,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('576',plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
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('577',plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl1865_663,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
<= ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1863_664,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl24835,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1865,zip_derived_cl1863]) ).
thf(zip_derived_cl193_665,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('578',plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24835,zip_derived_cl193]) ).
thf(zip_derived_cl1864_666,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
<= ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1863_667,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl24822,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1864,zip_derived_cl1863]) ).
thf(zip_derived_cl194_668,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('579',plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24822,zip_derived_cl194]) ).
thf(zip_derived_cl1863_669,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
<= ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1862_670,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
<= ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl24808,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1863,zip_derived_cl1862]) ).
thf(zip_derived_cl197_671,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('580',plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24808,zip_derived_cl197]) ).
thf(zip_derived_cl229,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_162]) ).
thf('581',plain,
( ~ zip_tseitin_1
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl229]) ).
thf(zip_derived_cl1876_672,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1874_673,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
<= ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl24968,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1876,zip_derived_cl1874]) ).
thf(zip_derived_cl196_674,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('582',plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24968,zip_derived_cl196]) ).
thf(zip_derived_cl375,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
| ~ zip_tseitin_37 ),
inference(cnf,[status(esa)],[zf_stmt_147]) ).
thf('583',plain,
( ~ zip_tseitin_37
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl375]) ).
thf(zip_derived_cl383,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
| ~ zip_tseitin_39 ),
inference(cnf,[status(esa)],[zf_stmt_169]) ).
thf('584',plain,
( ~ zip_tseitin_39
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl383]) ).
thf(zip_derived_cl469,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
| ~ zip_tseitin_61 ),
inference(cnf,[status(esa)],[zf_stmt_145]) ).
thf('585',plain,
( ~ zip_tseitin_61
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl469]) ).
thf(zip_derived_cl1833_675,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1832_676,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl24422,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1833,zip_derived_cl1832]) ).
thf(zip_derived_cl192_677,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('586',plain,
( ( ( op1 @ e13 @ e11 )
!= e12 )
| ( ( op1 @ e13 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24422,zip_derived_cl192]) ).
thf(zip_derived_cl1832_678,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1830_679,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl24408,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1832,zip_derived_cl1830]) ).
thf(zip_derived_cl196_680,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('587',plain,
( ( ( op1 @ e13 @ e11 )
!= e12 )
| ( ( op1 @ e13 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24408,zip_derived_cl196]) ).
thf(zip_derived_cl19,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('588',plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1827_681,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1826_682,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl24348,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1827,zip_derived_cl1826]) ).
thf(zip_derived_cl197_683,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('589',plain,
( ( ( op1 @ e13 @ e12 )
!= e10 )
| ( ( op1 @ e13 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24348,zip_derived_cl197]) ).
thf(zip_derived_cl1832_684,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
<= ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1831_685,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl24409,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1832,zip_derived_cl1831]) ).
thf(zip_derived_cl194_686,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('590',plain,
( ( ( op1 @ e13 @ e11 )
!= e12 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24409,zip_derived_cl194]) ).
thf(zip_derived_cl236,plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_166]) ).
thf('591',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ~ zip_tseitin_3 ),
inference(split,[status(esa)],[zip_derived_cl236]) ).
thf(zip_derived_cl41,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('592',plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
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('593',plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf(zip_derived_cl1881_687,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
<= ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1878_688,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl25023,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1881,zip_derived_cl1878]) ).
thf(zip_derived_cl195_689,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('594',plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
| ( ( op1 @ e10 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25023,zip_derived_cl195]) ).
thf(zip_derived_cl1880_690,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
<= ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1878_691,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl25011,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1880,zip_derived_cl1878]) ).
thf(zip_derived_cl196_692,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('595',plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
| ( ( op1 @ e10 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25011,zip_derived_cl196]) ).
thf(zip_derived_cl1872_693,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
<= ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1870_694,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl24915,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1872,zip_derived_cl1870]) ).
thf(zip_derived_cl196_695,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('596',plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24915,zip_derived_cl196]) ).
thf(zip_derived_cl298,plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_158]) ).
thf('597',plain,
( ~ zip_tseitin_18
| ( ( op1 @ e10 @ e10 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl298]) ).
thf(zip_derived_cl299,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_158]) ).
thf('598',plain,
( ~ zip_tseitin_18
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl299]) ).
thf(zip_derived_cl296,plain,
( ( ( op1 @ e12 @ e13 )
!= e12 )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_158]) ).
thf('599',plain,
( ~ zip_tseitin_18
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl296]) ).
thf(zip_derived_cl1848_696,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1847_697,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24613,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1848,zip_derived_cl1847]) ).
thf(zip_derived_cl194_698,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('600',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24613,zip_derived_cl194]) ).
thf(zip_derived_cl1848_699,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1846_700,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24612,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1848,zip_derived_cl1846]) ).
thf(zip_derived_cl196_701,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('601',plain,
( ( ( op1 @ e12 @ e11 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24612,zip_derived_cl196]) ).
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('602',plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl1852_702,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1851_703,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl24660,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1852,zip_derived_cl1851]) ).
thf(zip_derived_cl194_704,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('603',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24660,zip_derived_cl194]) ).
thf(zip_derived_cl1852_705,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1850_706,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl24659,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1852,zip_derived_cl1850]) ).
thf(zip_derived_cl196_707,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('604',plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24659,zip_derived_cl196]) ).
thf(zip_derived_cl1841,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1838_708,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24512,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1841,zip_derived_cl1838]) ).
thf(zip_derived_cl195_709,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('605',plain,
( ( ( op1 @ e12 @ e13 )
!= e10 )
| ( ( op1 @ e12 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24512,zip_derived_cl195]) ).
thf(zip_derived_cl268,plain,
( ( ( op1 @ e13 @ e11 )
!= e13 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_146]) ).
thf('606',plain,
( ~ zip_tseitin_11
| ( ( op1 @ e13 @ e11 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl268]) ).
thf(zip_derived_cl225,plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_162]) ).
thf('607',plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ~ zip_tseitin_1 ),
inference(split,[status(esa)],[zip_derived_cl225]) ).
thf(zip_derived_cl269,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_146]) ).
thf('608',plain,
( ~ zip_tseitin_11
| ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl269]) ).
thf(zip_derived_cl265,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_163]) ).
thf('609',plain,
( ~ zip_tseitin_10
| ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl265]) ).
thf(zip_derived_cl329,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ~ zip_tseitin_26 ),
inference(cnf,[status(esa)],[zf_stmt_142]) ).
thf('610',plain,
( ~ zip_tseitin_26
| ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl329]) ).
thf(zip_derived_cl457,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ~ zip_tseitin_58 ),
inference(cnf,[status(esa)],[zf_stmt_141]) ).
thf('611',plain,
( ~ zip_tseitin_58
| ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl457]) ).
thf(zip_derived_cl407,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_45 ),
inference(cnf,[status(esa)],[zf_stmt_156]) ).
thf('612',plain,
( ~ zip_tseitin_45
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl407]) ).
thf(zip_derived_cl409,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_46 ),
inference(cnf,[status(esa)],[zf_stmt_160]) ).
thf('613',plain,
( ~ zip_tseitin_46
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl409]) ).
thf(zip_derived_cl1845,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1843,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl24570,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1845,zip_derived_cl1843]) ).
thf(zip_derived_cl193_710,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('614',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24570,zip_derived_cl193]) ).
thf(zip_derived_cl1845_711,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1842,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl24569,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1845,zip_derived_cl1842]) ).
thf(zip_derived_cl195_712,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('615',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24569,zip_derived_cl195]) ).
thf(zip_derived_cl1845_713,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
<= ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1844_714,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl24571,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1845,zip_derived_cl1844]) ).
thf(zip_derived_cl192_715,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('616',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24571,zip_derived_cl192]) ).
thf(zip_derived_cl418,plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ~ zip_tseitin_48 ),
inference(cnf,[status(esa)],[zf_stmt_148]) ).
thf('617',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ~ zip_tseitin_48 ),
inference(split,[status(esa)],[zip_derived_cl418]) ).
thf(zip_derived_cl422,plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ~ zip_tseitin_49 ),
inference(cnf,[status(esa)],[zf_stmt_143]) ).
thf('618',plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ~ zip_tseitin_49 ),
inference(split,[status(esa)],[zip_derived_cl422]) ).
thf(zip_derived_cl430,plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ~ zip_tseitin_51 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('619',plain,
( ~ zip_tseitin_51
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl430]) ).
thf(zip_derived_cl42,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('620',plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl1837,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1836_716,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
<= ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl24458,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1837,zip_derived_cl1836]) ).
thf(zip_derived_cl192_717,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('621',plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24458,zip_derived_cl192]) ).
thf(zf_stmt_188,axiom,
( zip_tseitin_54
=> ( ( ( op1 @ e12 @ e10 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e13 )
!= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ) ).
thf(zip_derived_cl441,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
| ~ zip_tseitin_54 ),
inference(cnf,[status(esa)],[zf_stmt_188]) ).
thf('622',plain,
( ~ zip_tseitin_54
| ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl441]) ).
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('623',plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
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('624',plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl1849_718,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1848_719,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
<= ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24628,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1849,zip_derived_cl1848]) ).
thf(zip_derived_cl192_720,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('625',plain,
( ( ( op1 @ e12 @ e11 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24628,zip_derived_cl192]) ).
thf(zip_derived_cl1849_721,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
<= ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1847_722,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24627,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e11 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1849,zip_derived_cl1847]) ).
thf(zip_derived_cl193_723,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('626',plain,
( ( ( op1 @ e12 @ e11 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24627,zip_derived_cl193]) ).
thf(zip_derived_cl1853_724,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
<= ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1850_725,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl24671,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1853,zip_derived_cl1850]) ).
thf(zip_derived_cl195_726,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('627',plain,
( ( ( op1 @ e12 @ e10 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24671,zip_derived_cl195]) ).
thf(zip_derived_cl1851_727,plain,
( ( ( op1 @ e12 @ e10 )
= e11 )
<= ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1850_728,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
<= ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl24648,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e10 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1851,zip_derived_cl1850]) ).
thf(zip_derived_cl197_729,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('628',plain,
( ( ( op1 @ e12 @ e10 )
!= e11 )
| ( ( op1 @ e12 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24648,zip_derived_cl197]) ).
thf(zip_derived_cl46,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('629',plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl440,plain,
( ( ( op1 @ e12 @ e10 )
!= e12 )
| ~ zip_tseitin_54 ),
inference(cnf,[status(esa)],[zf_stmt_188]) ).
thf('630',plain,
( ~ zip_tseitin_54
| ( ( op1 @ e12 @ e10 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl440]) ).
thf(zip_derived_cl443,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ~ zip_tseitin_54 ),
inference(cnf,[status(esa)],[zf_stmt_188]) ).
thf('631',plain,
( ~ zip_tseitin_54
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl443]) ).
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('632',plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl270,plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_146]) ).
thf('633',plain,
( ~ zip_tseitin_11
| ( ( op1 @ e10 @ e10 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl270]) ).
thf(zip_derived_cl481,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
| ~ zip_tseitin_64 ),
inference(cnf,[status(esa)],[zf_stmt_170]) ).
thf('634',plain,
( ~ zip_tseitin_64
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl481]) ).
thf(zf_stmt_189,axiom,
( zip_tseitin_56
=> ( ( ( op1 @ e10 @ e11 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e13 @ e13 )
!= e11 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ) ).
thf(zip_derived_cl448,plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
| ~ zip_tseitin_56 ),
inference(cnf,[status(esa)],[zf_stmt_189]) ).
thf('635',plain,
( ( ( op1 @ e10 @ e11 )
!= e10 )
| ~ zip_tseitin_56 ),
inference(split,[status(esa)],[zip_derived_cl448]) ).
thf(zip_derived_cl449,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ~ zip_tseitin_56 ),
inference(cnf,[status(esa)],[zf_stmt_189]) ).
thf('636',plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ~ zip_tseitin_56 ),
inference(split,[status(esa)],[zip_derived_cl449]) ).
thf(zip_derived_cl451,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ~ zip_tseitin_56 ),
inference(cnf,[status(esa)],[zf_stmt_189]) ).
thf('637',plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ~ zip_tseitin_56 ),
inference(split,[status(esa)],[zip_derived_cl451]) ).
thf(zip_derived_cl1829,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1827_730,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl24372,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1829,zip_derived_cl1827]) ).
thf(zip_derived_cl193_731,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('638',plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24372,zip_derived_cl193]) ).
thf(zip_derived_cl1829_732,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1826_733,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl24371,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1829,zip_derived_cl1826]) ).
thf(zip_derived_cl195_734,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('639',plain,
( ( ( op1 @ e13 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24371,zip_derived_cl195]) ).
thf(zip_derived_cl230,plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_154]) ).
thf('640',plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ~ zip_tseitin_2 ),
inference(split,[status(esa)],[zip_derived_cl230]) ).
thf(zip_derived_cl423,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ~ zip_tseitin_49 ),
inference(cnf,[status(esa)],[zf_stmt_143]) ).
thf('641',plain,
( ~ zip_tseitin_49
| ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl423]) ).
thf(zip_derived_cl397,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ~ zip_tseitin_43 ),
inference(cnf,[status(esa)],[zf_stmt_150]) ).
thf('642',plain,
( ~ zip_tseitin_43
| ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl397]) ).
thf(zip_derived_cl1831_735,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1830_736,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl24392,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1831,zip_derived_cl1830]) ).
thf(zip_derived_cl197_737,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('643',plain,
( ( ( op1 @ e13 @ e11 )
!= e10 )
| ( ( op1 @ e13 @ e11 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24392,zip_derived_cl197]) ).
thf(zip_derived_cl1837_738,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1835_739,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl24457,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e10 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1837,zip_derived_cl1835]) ).
thf(zip_derived_cl193_740,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('644',plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e10 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24457,zip_derived_cl193]) ).
thf(zip_derived_cl1837_741,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
<= ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1834_742,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl24456,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1837,zip_derived_cl1834]) ).
thf(zip_derived_cl195_743,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('645',plain,
( ( ( op1 @ e13 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24456,zip_derived_cl195]) ).
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('646',plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl23,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('647',plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1833_744,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1831_745,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
<= ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl24421,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1833,zip_derived_cl1831]) ).
thf(zip_derived_cl193_746,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('648',plain,
( ( ( op1 @ e13 @ e11 )
!= e11 )
| ( ( op1 @ e13 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24421,zip_derived_cl193]) ).
thf(zip_derived_cl1833_747,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
<= ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1830_748,plain,
( ( ( op1 @ e13 @ e11 )
= e10 )
<= ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl24420,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1833,zip_derived_cl1830]) ).
thf(zip_derived_cl195_749,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('649',plain,
( ( ( op1 @ e13 @ e11 )
!= e10 )
| ( ( op1 @ e13 @ e11 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24420,zip_derived_cl195]) ).
thf(zip_derived_cl1835_750,plain,
( ( ( op1 @ e13 @ e10 )
= e11 )
<= ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl1834_751,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
<= ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl24437,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e10 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1835,zip_derived_cl1834]) ).
thf(zip_derived_cl197_752,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('650',plain,
( ( ( op1 @ e13 @ e10 )
!= e11 )
| ( ( op1 @ e13 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24437,zip_derived_cl197]) ).
thf(zip_derived_cl1829_753,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
<= ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1828_754,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl24373,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e12 )
= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1829,zip_derived_cl1828]) ).
thf(zip_derived_cl192_755,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('651',plain,
( ( ( op1 @ e13 @ e12 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24373,zip_derived_cl192]) ).
thf(zip_derived_cl1828_756,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1827_757,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl24360,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op1 @ e13 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1828,zip_derived_cl1827]) ).
thf(zip_derived_cl194_758,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('652',plain,
( ( ( op1 @ e13 @ e12 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24360,zip_derived_cl194]) ).
thf(zip_derived_cl1828_759,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
<= ( ( op1 @ e13 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1826_760,plain,
( ( ( op1 @ e13 @ e12 )
= e10 )
<= ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl24359,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1828,zip_derived_cl1826]) ).
thf(zip_derived_cl196_761,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('653',plain,
( ( ( op1 @ e13 @ e12 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24359,zip_derived_cl196]) ).
thf(zip_derived_cl21,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('654',plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl1873_762,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1871_763,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl24934,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e10 @ e13 )
= e11 )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1873,zip_derived_cl1871]) ).
thf(zip_derived_cl193_764,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('655',plain,
( ( ( op1 @ e10 @ e13 )
!= e11 )
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24934,zip_derived_cl193]) ).
thf(zip_derived_cl1873_765,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
<= ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1870_766,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl24933,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1873,zip_derived_cl1870]) ).
thf(zip_derived_cl195_767,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('656',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e10 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24933,zip_derived_cl195]) ).
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('657',plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl20,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf('658',plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
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('659',plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1871_768,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
<= ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1870_769,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl24901,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e10 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1871,zip_derived_cl1870]) ).
thf(zip_derived_cl197_770,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('660',plain,
( ( ( op1 @ e10 @ e13 )
!= e11 )
| ( ( op1 @ e10 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24901,zip_derived_cl197]) ).
thf(zip_derived_cl1840_771,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1839_772,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24498,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1840,zip_derived_cl1839]) ).
thf(zip_derived_cl194_773,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('661',plain,
( ( ( op1 @ e12 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24498,zip_derived_cl194]) ).
thf(zip_derived_cl1840_774,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1838_775,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
<= ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24497,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1840,zip_derived_cl1838]) ).
thf(zip_derived_cl196_776,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('662',plain,
( ( ( op1 @ e12 @ e13 )
!= e10 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24497,zip_derived_cl196]) ).
thf(zip_derived_cl1824,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1822_777,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl24311,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1824,zip_derived_cl1822]) ).
thf(zip_derived_cl196_778,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('663',plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24311,zip_derived_cl196]) ).
thf(zip_derived_cl1824_779,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1823,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl24312,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1824,zip_derived_cl1823]) ).
thf(zip_derived_cl194_780,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('664',plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24312,zip_derived_cl194]) ).
thf(zip_derived_cl1825_781,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1824_782,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
<= ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl24325,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1825,zip_derived_cl1824]) ).
thf(zip_derived_cl192_783,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('665',plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24325,zip_derived_cl192]) ).
thf(zip_derived_cl470,plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ~ zip_tseitin_61 ),
inference(cnf,[status(esa)],[zf_stmt_145]) ).
thf('666',plain,
( ~ zip_tseitin_61
| ( ( op1 @ e13 @ e13 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl470]) ).
thf(zip_derived_cl325,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_25 ),
inference(cnf,[status(esa)],[zf_stmt_174]) ).
thf('667',plain,
( ~ zip_tseitin_25
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl325]) ).
thf(zip_derived_cl301,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_19 ),
inference(cnf,[status(esa)],[zf_stmt_187]) ).
thf('668',plain,
( ~ zip_tseitin_19
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl301]) ).
thf(zip_derived_cl365,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_35 ),
inference(cnf,[status(esa)],[zf_stmt_171]) ).
thf('669',plain,
( ~ zip_tseitin_35
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl365]) ).
thf(zip_derived_cl317,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('670',plain,
( ~ zip_tseitin_23
| ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl317]) ).
thf(zip_derived_cl381,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ~ zip_tseitin_39 ),
inference(cnf,[status(esa)],[zf_stmt_169]) ).
thf('671',plain,
( ~ zip_tseitin_39
| ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl381]) ).
thf(zip_derived_cl1825_784,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1823_785,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl24324,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1825,zip_derived_cl1823]) ).
thf(zip_derived_cl193_786,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('672',plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24324,zip_derived_cl193]) ).
thf(zip_derived_cl1823_787,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
<= ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1822_788,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl24290,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1823,zip_derived_cl1822]) ).
thf(zip_derived_cl197_789,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('673',plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24290,zip_derived_cl197]) ).
thf(zip_derived_cl450,plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ~ zip_tseitin_56 ),
inference(cnf,[status(esa)],[zf_stmt_189]) ).
thf('674',plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ~ zip_tseitin_56 ),
inference(split,[status(esa)],[zip_derived_cl450]) ).
thf(zip_derived_cl458,plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ~ zip_tseitin_58 ),
inference(cnf,[status(esa)],[zf_stmt_141]) ).
thf('675',plain,
( ~ zip_tseitin_58
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl458]) ).
thf(zip_derived_cl1847_790,plain,
( ( ( op1 @ e12 @ e11 )
= e11 )
<= ( ( op1 @ e12 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1846_791,plain,
( ( ( op1 @ e12 @ e11 )
= e10 )
<= ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl24599,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1847,zip_derived_cl1846]) ).
thf(zip_derived_cl197_792,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('676',plain,
( ( ( op1 @ e12 @ e11 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24599,zip_derived_cl197]) ).
thf(zip_derived_cl1841_793,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1840_794,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
<= ( ( op1 @ e12 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24514,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e12 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1841,zip_derived_cl1840]) ).
thf(zip_derived_cl192_795,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('677',plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24514,zip_derived_cl192]) ).
thf(zip_derived_cl1841_796,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
<= ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1839_797,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
<= ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl24513,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1841,zip_derived_cl1839]) ).
thf(zip_derived_cl193_798,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('678',plain,
( ( ( op1 @ e12 @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24513,zip_derived_cl193]) ).
thf(zip_derived_cl1877_799,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
<= ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1876_800,plain,
( ( ( op1 @ e10 @ e12 )
= e12 )
<= ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl24978,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1877,zip_derived_cl1876]) ).
thf(zip_derived_cl192_801,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('679',plain,
( ( ( op1 @ e10 @ e12 )
!= e12 )
| ( ( op1 @ e10 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24978,zip_derived_cl192]) ).
thf(zip_derived_cl1860,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1858_802,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24768,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1860,zip_derived_cl1858]) ).
thf(zip_derived_cl196_803,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('680',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24768,zip_derived_cl196]) ).
thf(zip_derived_cl1861_804,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1860_805,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24784,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e12 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1861,zip_derived_cl1860]) ).
thf(zip_derived_cl192_806,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('681',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24784,zip_derived_cl192]) ).
thf(zip_derived_cl1861_807,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1858_808,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24782,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1861,zip_derived_cl1858]) ).
thf(zip_derived_cl195_809,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('682',plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24782,zip_derived_cl195]) ).
thf(zip_derived_cl1857,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1855,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24728,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1857,zip_derived_cl1855]) ).
thf(zip_derived_cl193_810,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('683',plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24728,zip_derived_cl193]) ).
thf(zip_derived_cl1856_811,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1855_812,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24713,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1856,zip_derived_cl1855]) ).
thf(zip_derived_cl194_813,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('684',plain,
( ( ( op1 @ e11 @ e13 )
!= e11 )
| ( ( op1 @ e11 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24713,zip_derived_cl194]) ).
thf(zip_derived_cl1855_814,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
<= ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1854,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24697,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1855,zip_derived_cl1854]) ).
thf(zip_derived_cl197_815,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('685',plain,
( ( ( op1 @ e11 @ e13 )
!= e10 )
| ( ( op1 @ e11 @ e13 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24697,zip_derived_cl197]) ).
thf(zip_derived_cl345,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_30 ),
inference(cnf,[status(esa)],[zf_stmt_153]) ).
thf('686',plain,
( ~ zip_tseitin_30
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl345]) ).
thf(zip_derived_cl313,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_157]) ).
thf('687',plain,
( ~ zip_tseitin_22
| ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl313]) ).
thf(zip_derived_cl1844_816,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1843_817,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl24555,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1844,zip_derived_cl1843]) ).
thf(zip_derived_cl194_818,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('688',plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24555,zip_derived_cl194]) ).
thf(zip_derived_cl1843_819,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
<= ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1842_820,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl24540,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1843,zip_derived_cl1842]) ).
thf(zip_derived_cl197_821,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('689',plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24540,zip_derived_cl197]) ).
thf(zip_derived_cl386,plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ~ zip_tseitin_40 ),
inference(cnf,[status(esa)],[zf_stmt_167]) ).
thf('690',plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ~ zip_tseitin_40 ),
inference(split,[status(esa)],[zip_derived_cl386]) ).
thf(zf_stmt_190,axiom,
( zip_tseitin_8
=> ( ( ( op1 @ e10 @ e11 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e10 @ e11 )
= e10 ) ) ) ).
thf(zip_derived_cl258,plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_190]) ).
thf('691',plain,
( ~ zip_tseitin_8
| ( ( op1 @ e10 @ e10 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl258]) ).
thf(zip_derived_cl257,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_190]) ).
thf('692',plain,
( ~ zip_tseitin_8
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl257]) ).
thf(zf_stmt_191,axiom,
( zip_tseitin_16
=> ( ( ( op1 @ e10 @ e13 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ) ).
thf(zip_derived_cl290,plain,
( ( ( op1 @ e10 @ e10 )
!= e13 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_191]) ).
thf('693',plain,
( ~ zip_tseitin_16
| ( ( op1 @ e10 @ e10 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl290]) ).
thf(zip_derived_cl289,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_191]) ).
thf('694',plain,
( ~ zip_tseitin_16
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl289]) ).
thf(zf_stmt_192,axiom,
( zip_tseitin_33
=> ( ( ( op1 @ e11 @ e13 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e11 @ e13 )
= e11 ) ) ) ).
thf(zip_derived_cl358,plain,
( ( ( op1 @ e11 @ e11 )
!= e13 )
| ~ zip_tseitin_33 ),
inference(cnf,[status(esa)],[zf_stmt_192]) ).
thf('695',plain,
( ~ zip_tseitin_33
| ( ( op1 @ e11 @ e11 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl358]) ).
thf(zip_derived_cl357,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ~ zip_tseitin_33 ),
inference(cnf,[status(esa)],[zf_stmt_192]) ).
thf('696',plain,
( ~ zip_tseitin_33
| ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl357]) ).
thf(zf_stmt_193,axiom,
( zip_tseitin_29
=> ( ( ( op1 @ e11 @ e12 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ) ).
thf(zip_derived_cl342,plain,
( ( ( op1 @ e11 @ e11 )
!= e12 )
| ~ zip_tseitin_29 ),
inference(cnf,[status(esa)],[zf_stmt_193]) ).
thf('697',plain,
( ~ zip_tseitin_29
| ( ( op1 @ e11 @ e11 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl342]) ).
thf(zip_derived_cl341,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
| ~ zip_tseitin_29 ),
inference(cnf,[status(esa)],[zf_stmt_193]) ).
thf('698',plain,
( ~ zip_tseitin_29
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl341]) ).
thf(zf_stmt_194,axiom,
( zip_tseitin_21
=> ( ( ( op1 @ e11 @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ) ).
thf(zip_derived_cl310,plain,
( ( ( op1 @ e11 @ e11 )
!= e10 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_194]) ).
thf('699',plain,
( ~ zip_tseitin_21
| ( ( op1 @ e11 @ e11 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl310]) ).
thf(zip_derived_cl309,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_194]) ).
thf('700',plain,
( ~ zip_tseitin_21
| ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl309]) ).
thf(zf_stmt_195,axiom,
( zip_tseitin_12
=> ( ( ( op1 @ e10 @ e12 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e10 @ e12 )
= e10 ) ) ) ).
thf(zip_derived_cl274,plain,
( ( ( op1 @ e10 @ e10 )
!= e12 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_195]) ).
thf('701',plain,
( ~ zip_tseitin_12
| ( ( op1 @ e10 @ e10 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl274]) ).
thf(zip_derived_cl273,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_195]) ).
thf('702',plain,
( ~ zip_tseitin_12
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl273]) ).
thf(zf_stmt_196,axiom,
( zip_tseitin_20
=> ( ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 ) ) ) ).
thf(zip_derived_cl305,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_196]) ).
thf('703',plain,
( ~ zip_tseitin_20
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl304,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_196]) ).
thf('704',plain,
( ~ zip_tseitin_20
| ( ( op1 @ e10 @ e10 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl304]) ).
thf(zf_stmt_197,axiom,
( zip_tseitin_24
=> ( ( ( op1 @ e10 @ e11 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ) ).
thf(zip_derived_cl323,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_197]) ).
thf('705',plain,
( ~ zip_tseitin_24
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl323]) ).
thf(zip_derived_cl322,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_197]) ).
thf('706',plain,
( ~ zip_tseitin_24
| ( ( op1 @ e11 @ e11 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl322]) ).
thf(zf_stmt_198,axiom,
( zip_tseitin_38
=> ( ( ( op1 @ e12 @ e10 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e12 @ e10 )
= e12 ) ) ) ).
thf(zip_derived_cl378,plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ~ zip_tseitin_38 ),
inference(cnf,[status(esa)],[zf_stmt_198]) ).
thf('707',plain,
( ~ zip_tseitin_38
| ( ( op1 @ e12 @ e12 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl378]) ).
thf(zip_derived_cl377,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
| ~ zip_tseitin_38 ),
inference(cnf,[status(esa)],[zf_stmt_198]) ).
thf('708',plain,
( ~ zip_tseitin_38
| ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl377]) ).
thf(zf_stmt_199,axiom,
( zip_tseitin_42
=> ( ( ( op1 @ e12 @ e11 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e12 @ e11 )
= e12 ) ) ) ).
thf(zip_derived_cl394,plain,
( ( ( op1 @ e12 @ e12 )
!= e11 )
| ~ zip_tseitin_42 ),
inference(cnf,[status(esa)],[zf_stmt_199]) ).
thf('709',plain,
( ~ zip_tseitin_42
| ( ( op1 @ e12 @ e12 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl394]) ).
thf(zip_derived_cl393,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ~ zip_tseitin_42 ),
inference(cnf,[status(esa)],[zf_stmt_199]) ).
thf('710',plain,
( ~ zip_tseitin_42
| ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl393]) ).
thf(zf_stmt_200,axiom,
( zip_tseitin_47
=> ( ( ( op1 @ e13 @ e12 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ) ).
thf(zip_derived_cl415,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_47 ),
inference(cnf,[status(esa)],[zf_stmt_200]) ).
thf('711',plain,
( ~ zip_tseitin_47
| ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl415]) ).
thf(zip_derived_cl414,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_47 ),
inference(cnf,[status(esa)],[zf_stmt_200]) ).
thf('712',plain,
( ~ zip_tseitin_47
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl414]) ).
thf(zf_stmt_201,axiom,
( zip_tseitin_50
=> ( ( ( op1 @ e12 @ e13 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e12 @ e13 )
= e12 ) ) ) ).
thf(zip_derived_cl426,plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ~ zip_tseitin_50 ),
inference(cnf,[status(esa)],[zf_stmt_201]) ).
thf('713',plain,
( ~ zip_tseitin_50
| ( ( op1 @ e12 @ e12 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl426]) ).
thf(zip_derived_cl425,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
| ~ zip_tseitin_50 ),
inference(cnf,[status(esa)],[zf_stmt_201]) ).
thf('714',plain,
( ~ zip_tseitin_50
| ( ( op1 @ e12 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl425]) ).
thf(zf_stmt_202,axiom,
( zip_tseitin_55
=> ( ( ( op1 @ e13 @ e10 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e13 )
!= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 ) ) ) ).
thf(zip_derived_cl446,plain,
( ( ( op1 @ e13 @ e13 )
!= e10 )
| ~ zip_tseitin_55 ),
inference(cnf,[status(esa)],[zf_stmt_202]) ).
thf('715',plain,
( ~ zip_tseitin_55
| ( ( op1 @ e13 @ e13 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl446]) ).
thf(zip_derived_cl445,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ~ zip_tseitin_55 ),
inference(cnf,[status(esa)],[zf_stmt_202]) ).
thf('716',plain,
( ~ zip_tseitin_55
| ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl445]) ).
thf(zf_stmt_203,axiom,
( zip_tseitin_59
=> ( ( ( op1 @ e13 @ e11 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e13 )
!= e11 )
& ( ( op1 @ e13 @ e11 )
= e13 ) ) ) ).
thf(zip_derived_cl462,plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ~ zip_tseitin_59 ),
inference(cnf,[status(esa)],[zf_stmt_203]) ).
thf('717',plain,
( ~ zip_tseitin_59
| ( ( op1 @ e13 @ e13 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl462]) ).
thf(zip_derived_cl461,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ~ zip_tseitin_59 ),
inference(cnf,[status(esa)],[zf_stmt_203]) ).
thf('718',plain,
( ~ zip_tseitin_59
| ( ( op1 @ e13 @ e13 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl461]) ).
thf(zf_stmt_204,axiom,
( zip_tseitin_63
=> ( ( ( op1 @ e13 @ e12 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e13 )
!= e12 )
& ( ( op1 @ e13 @ e12 )
= e13 ) ) ) ).
thf(zip_derived_cl478,plain,
( ( ( op1 @ e13 @ e13 )
!= e12 )
| ~ zip_tseitin_63 ),
inference(cnf,[status(esa)],[zf_stmt_204]) ).
thf('719',plain,
( ~ zip_tseitin_63
| ( ( op1 @ e13 @ e13 )
!= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl478]) ).
thf(zip_derived_cl477,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ~ zip_tseitin_63 ),
inference(cnf,[status(esa)],[zf_stmt_204]) ).
thf('720',plain,
( ~ zip_tseitin_63
| ( ( op1 @ e13 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl477]) ).
thf(zf_stmt_205,axiom,
( zip_tseitin_67
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zip_derived_cl493,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_67 ),
inference(cnf,[status(esa)],[zf_stmt_205]) ).
thf('721',plain,
( ~ zip_tseitin_67
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl493]) ).
thf(zip_derived_cl492,plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ~ zip_tseitin_67 ),
inference(cnf,[status(esa)],[zf_stmt_205]) ).
thf('722',plain,
( ~ zip_tseitin_67
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl492]) ).
thf(zip_derived_cl482,plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ~ zip_tseitin_64 ),
inference(cnf,[status(esa)],[zf_stmt_170]) ).
thf('723',plain,
( ~ zip_tseitin_64
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl482]) ).
thf(zip_derived_cl486,plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ~ zip_tseitin_65 ),
inference(cnf,[status(esa)],[zf_stmt_144]) ).
thf('724',plain,
( ~ zip_tseitin_65
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl486]) ).
thf(zip_derived_cl490,plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ~ zip_tseitin_66 ),
inference(cnf,[status(esa)],[zf_stmt_161]) ).
thf('725',plain,
( ~ zip_tseitin_66
| ( ( op1 @ e13 @ e13 )
!= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl490]) ).
thf(zip_derived_cl234,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_154]) ).
thf('726',plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_2 ),
inference(split,[status(esa)],[zip_derived_cl234]) ).
thf(zip_derived_cl221,plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_151]) ).
thf('727',plain,
( ~ zip_tseitin_0
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e12 )
!= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl221]) ).
thf(zip_derived_cl1844_822,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
<= ( ( op1 @ e12 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1842_823,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
<= ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl24554,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1844,zip_derived_cl1842]) ).
thf(zip_derived_cl196_824,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('728',plain,
( ( ( op1 @ e12 @ e12 )
!= e10 )
| ( ( op1 @ e12 @ e12 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24554,zip_derived_cl196]) ).
thf(zip_derived_cl24158_825,plain,
( e13
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl776,zip_derived_cl777]) ).
thf(zip_derived_cl1852_826,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl29398,plain,
( ( e13 = e12 )
<= ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24158,zip_derived_cl1852]) ).
thf(zip_derived_cl192_827,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('729',plain,
( ( op1 @ e12 @ e10 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29398,zip_derived_cl192]) ).
thf(zf_stmt_206,type,
zip_tseitin_67: $o ).
thf(zf_stmt_207,type,
zip_tseitin_66: $o ).
thf(zf_stmt_208,type,
zip_tseitin_65: $o ).
thf(zf_stmt_209,type,
zip_tseitin_64: $o ).
thf(zf_stmt_210,type,
zip_tseitin_63: $o ).
thf(zf_stmt_211,type,
zip_tseitin_62: $o ).
thf(zf_stmt_212,type,
zip_tseitin_61: $o ).
thf(zf_stmt_213,type,
zip_tseitin_60: $o ).
thf(zf_stmt_214,type,
zip_tseitin_59: $o ).
thf(zf_stmt_215,type,
zip_tseitin_58: $o ).
thf(zf_stmt_216,type,
zip_tseitin_57: $o ).
thf(zf_stmt_217,type,
zip_tseitin_56: $o ).
thf(zf_stmt_218,type,
zip_tseitin_55: $o ).
thf(zf_stmt_219,type,
zip_tseitin_54: $o ).
thf(zf_stmt_220,type,
zip_tseitin_53: $o ).
thf(zf_stmt_221,type,
zip_tseitin_52: $o ).
thf(zf_stmt_222,type,
zip_tseitin_51: $o ).
thf(zf_stmt_223,type,
zip_tseitin_50: $o ).
thf(zf_stmt_224,type,
zip_tseitin_49: $o ).
thf(zf_stmt_225,type,
zip_tseitin_48: $o ).
thf(zf_stmt_226,type,
zip_tseitin_47: $o ).
thf(zf_stmt_227,type,
zip_tseitin_46: $o ).
thf(zf_stmt_228,type,
zip_tseitin_45: $o ).
thf(zf_stmt_229,type,
zip_tseitin_44: $o ).
thf(zf_stmt_230,type,
zip_tseitin_43: $o ).
thf(zf_stmt_231,type,
zip_tseitin_42: $o ).
thf(zf_stmt_232,type,
zip_tseitin_41: $o ).
thf(zf_stmt_233,type,
zip_tseitin_40: $o ).
thf(zf_stmt_234,type,
zip_tseitin_39: $o ).
thf(zf_stmt_235,type,
zip_tseitin_38: $o ).
thf(zf_stmt_236,type,
zip_tseitin_37: $o ).
thf(zf_stmt_237,type,
zip_tseitin_36: $o ).
thf(zf_stmt_238,type,
zip_tseitin_35: $o ).
thf(zf_stmt_239,type,
zip_tseitin_34: $o ).
thf(zf_stmt_240,type,
zip_tseitin_33: $o ).
thf(zf_stmt_241,type,
zip_tseitin_32: $o ).
thf(zf_stmt_242,type,
zip_tseitin_31: $o ).
thf(zf_stmt_243,type,
zip_tseitin_30: $o ).
thf(zf_stmt_244,type,
zip_tseitin_29: $o ).
thf(zf_stmt_245,type,
zip_tseitin_28: $o ).
thf(zf_stmt_246,type,
zip_tseitin_27: $o ).
thf(zf_stmt_247,type,
zip_tseitin_26: $o ).
thf(zf_stmt_248,type,
zip_tseitin_25: $o ).
thf(zf_stmt_249,type,
zip_tseitin_24: $o ).
thf(zf_stmt_250,type,
zip_tseitin_23: $o ).
thf(zf_stmt_251,type,
zip_tseitin_22: $o ).
thf(zf_stmt_252,type,
zip_tseitin_21: $o ).
thf(zf_stmt_253,type,
zip_tseitin_20: $o ).
thf(zf_stmt_254,type,
zip_tseitin_19: $o ).
thf(zf_stmt_255,type,
zip_tseitin_18: $o ).
thf(zf_stmt_256,type,
zip_tseitin_17: $o ).
thf(zf_stmt_257,type,
zip_tseitin_16: $o ).
thf(zf_stmt_258,type,
zip_tseitin_15: $o ).
thf(zf_stmt_259,type,
zip_tseitin_14: $o ).
thf(zf_stmt_260,type,
zip_tseitin_13: $o ).
thf(zf_stmt_261,type,
zip_tseitin_12: $o ).
thf(zf_stmt_262,type,
zip_tseitin_11: $o ).
thf(zf_stmt_263,type,
zip_tseitin_10: $o ).
thf(zf_stmt_264,type,
zip_tseitin_9: $o ).
thf(zf_stmt_265,type,
zip_tseitin_8: $o ).
thf(zf_stmt_266,type,
zip_tseitin_7: $o ).
thf(zf_stmt_267,type,
zip_tseitin_6: $o ).
thf(zf_stmt_268,type,
zip_tseitin_5: $o ).
thf(zf_stmt_269,type,
zip_tseitin_4: $o ).
thf(zf_stmt_270,type,
zip_tseitin_3: $o ).
thf(zf_stmt_271,type,
zip_tseitin_2: $o ).
thf(zf_stmt_272,type,
zip_tseitin_1: $o ).
thf(zf_stmt_273,type,
zip_tseitin_0: $o ).
thf(zf_stmt_274,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_cl497,plain,
( zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_274]) ).
thf('730',plain,
( zip_tseitin_2
| zip_tseitin_3
| zip_tseitin_0
| zip_tseitin_1 ),
inference(split,[status(esa)],[zip_derived_cl497]) ).
thf(zip_derived_cl224,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_151]) ).
thf('731',plain,
( ~ zip_tseitin_0
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl224]) ).
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_cl1884,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl778_828,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl25050,plain,
( ( e11 = e12 )
<= ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1884,zip_derived_cl778]) ).
thf(zip_derived_cl194_829,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('732',plain,
( ( op1 @ e10 @ e10 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25050,zip_derived_cl194]) ).
thf(zip_derived_cl1882,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl778_830,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl25034,plain,
( ( e11 = e10 )
<= ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1882,zip_derived_cl778]) ).
thf(zip_derived_cl197_831,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('733',plain,
( ( op1 @ e10 @ e10 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25034,zip_derived_cl197]) ).
thf(zip_derived_cl1885,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl778_832,plain,
( e11
= ( op1 @ e10 @ e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl25066,plain,
( ( e11 = e13 )
<= ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1885,zip_derived_cl778]) ).
thf(zip_derived_cl193_833,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('734',plain,
( ( op1 @ e10 @ e10 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25066,zip_derived_cl193]) ).
thf('735',plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl24165_834,plain,
( e12
= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl777,zip_derived_cl778]) ).
thf(zip_derived_cl1878_835,plain,
( ( ( op1 @ e10 @ e11 )
= e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl29473,plain,
( ( e12 = e10 )
<= ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24165,zip_derived_cl1878]) ).
thf(zip_derived_cl196_836,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('736',plain,
( ( op1 @ e10 @ e11 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29473,zip_derived_cl196]) ).
thf(zip_derived_cl228,plain,
( ( ( op1 @ e10 @ e10 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_162]) ).
thf('737',plain,
( ~ zip_tseitin_1
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
!= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl228]) ).
thf(zip_derived_cl295,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_176]) ).
thf('738',plain,
( ~ zip_tseitin_17
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl295]) ).
thf(zip_derived_cl239,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_166]) ).
thf('739',plain,
( ~ zip_tseitin_3
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl239]) ).
thf(zip_derived_cl429,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_51 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf('740',plain,
( ~ zip_tseitin_51
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl429]) ).
thf(zip_derived_cl487,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_65 ),
inference(cnf,[status(esa)],[zf_stmt_144]) ).
thf('741',plain,
( ~ zip_tseitin_65
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl487]) ).
thf(zip_derived_cl1870_837,plain,
( ( ( op1 @ e10 @ e13 )
= e10 )
<= ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1822_838,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl123_839,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl24278,plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1822,zip_derived_cl123]) ).
thf(zip_derived_cl27680,plain,
( ( e10 != e10 )
<= ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e13 )
= e10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1870,zip_derived_cl24278]) ).
thf('742',plain,
( ( ( op1 @ e10 @ e13 )
!= e10 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27680]) ).
thf(zip_derived_cl1825_840,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
<= ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1822_841,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
<= ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl24323,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1825,zip_derived_cl1822]) ).
thf(zip_derived_cl195_842,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('743',plain,
( ( ( op1 @ e13 @ e13 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24323,zip_derived_cl195]) ).
thf(zip_derived_cl496,plain,
( 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 ),
inference(cnf,[status(esa)],[zf_stmt_274]) ).
thf('744',plain,
( zip_tseitin_56
| zip_tseitin_25
| zip_tseitin_8
| zip_tseitin_16
| zip_tseitin_33
| zip_tseitin_29
| zip_tseitin_21
| zip_tseitin_12
| zip_tseitin_4
| zip_tseitin_5
| zip_tseitin_60
| zip_tseitin_27
| zip_tseitin_48
| zip_tseitin_32
| zip_tseitin_18
| zip_tseitin_10
| zip_tseitin_20
| zip_tseitin_19
| zip_tseitin_6
| zip_tseitin_36
| zip_tseitin_24
| zip_tseitin_40
| zip_tseitin_30
| zip_tseitin_15
| zip_tseitin_61
| zip_tseitin_14
| zip_tseitin_13
| zip_tseitin_34
| zip_tseitin_45
| zip_tseitin_43
| zip_tseitin_22
| zip_tseitin_26
| zip_tseitin_28
| zip_tseitin_38
| zip_tseitin_35
| zip_tseitin_23
| zip_tseitin_39
| zip_tseitin_41
| zip_tseitin_42
| zip_tseitin_53
| zip_tseitin_58
| zip_tseitin_7
| zip_tseitin_37
| zip_tseitin_47
| zip_tseitin_54
| zip_tseitin_44
| zip_tseitin_50
| zip_tseitin_51
| zip_tseitin_52
| zip_tseitin_17
| zip_tseitin_31
| zip_tseitin_55
| zip_tseitin_11
| zip_tseitin_57
| zip_tseitin_9
| zip_tseitin_59
| zip_tseitin_49
| zip_tseitin_46
| zip_tseitin_62
| zip_tseitin_63
| zip_tseitin_65
| zip_tseitin_64
| zip_tseitin_66
| zip_tseitin_67 ),
inference(split,[status(esa)],[zip_derived_cl496]) ).
thf(zip_derived_cl1857_843,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1854_844,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24727,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1857,zip_derived_cl1854]) ).
thf(zip_derived_cl195_845,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('745',plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24727,zip_derived_cl195]) ).
thf(zip_derived_cl1868_846,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1866_847,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl24864,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1868,zip_derived_cl1866]) ).
thf(zip_derived_cl196_848,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('746',plain,
( ( ( op1 @ e11 @ e10 )
!= e12 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24864,zip_derived_cl196]) ).
thf(zip_derived_cl1869_849,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1868_850,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
<= ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl24876,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e10 )
= e12 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1869,zip_derived_cl1868]) ).
thf(zip_derived_cl192_851,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('747',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e10 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24876,zip_derived_cl192]) ).
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('748',plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
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('749',plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl1857_852,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
<= ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1856_853,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24729,plain,
( ( e13 = e12 )
<= ( ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e13 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1857,zip_derived_cl1856]) ).
thf(zip_derived_cl192_854,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('750',plain,
( ( ( op1 @ e11 @ e13 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24729,zip_derived_cl192]) ).
thf(zip_derived_cl1856_855,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
<= ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1854_856,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
<= ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl24712,plain,
( ( e12 = e10 )
<= ( ( ( op1 @ e11 @ e13 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1856,zip_derived_cl1854]) ).
thf(zip_derived_cl196_857,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('751',plain,
( ( ( op1 @ e11 @ e13 )
!= e10 )
| ( ( op1 @ e11 @ e13 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24712,zip_derived_cl196]) ).
thf(zip_derived_cl1869_858,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
<= ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1866_859,plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
<= ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl24874,plain,
( ( e13 = e10 )
<= ( ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1869,zip_derived_cl1866]) ).
thf(zip_derived_cl195_860,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('752',plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e11 @ e10 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24874,zip_derived_cl195]) ).
thf(zip_derived_cl1861_861,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
<= ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1859_862,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24783,plain,
( ( e13 = e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1861,zip_derived_cl1859]) ).
thf(zip_derived_cl193_863,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf('753',plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e12 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24783,zip_derived_cl193]) ).
thf(zip_derived_cl1860_864,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
<= ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1859_865,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24769,plain,
( ( e12 = e11 )
<= ( ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e12 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1860,zip_derived_cl1859]) ).
thf(zip_derived_cl194_866,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf('754',plain,
( ( ( op1 @ e11 @ e12 )
!= e12 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24769,zip_derived_cl194]) ).
thf(zip_derived_cl1859_867,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
<= ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1858_868,plain,
( ( ( op1 @ e11 @ e12 )
= e10 )
<= ( ( op1 @ e11 @ e12 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl24753,plain,
( ( e11 = e10 )
<= ( ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e12 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1859,zip_derived_cl1858]) ).
thf(zip_derived_cl197_869,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf('755',plain,
( ( ( op1 @ e11 @ e12 )
!= e10 )
| ( ( op1 @ e11 @ e12 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24753,zip_derived_cl197]) ).
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('756',plain,
( ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
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('757',plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl2019_870,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
<= ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1827_871,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
<= ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl29680_872,plain,
( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ e23 @ e22 ) )
<= ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29677,zip_derived_cl24175]) ).
thf(zip_derived_cl29723,plain,
( ( ( h1 @ e11 )
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1827,zip_derived_cl29680]) ).
thf(zip_derived_cl24194_873,plain,
( ( h1 @ e11 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl784,zip_derived_cl781]) ).
thf(zip_derived_cl29727,plain,
( ( e21
!= ( op2 @ e23 @ e22 ) )
<= ( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29723,zip_derived_cl24194]) ).
thf(zip_derived_cl30012,plain,
( ( e21 != e21 )
<= ( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op2 @ e23 @ e22 )
= e21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2019,zip_derived_cl29727]) ).
thf('758',plain,
( ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
| ( ( op1 @ e13 @ e12 )
!= e11 )
| ( ( op2 @ e23 @ e22 )
!= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30012]) ).
thf(zip_derived_cl838,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('759',plain,
( ( ( h1 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ e10 )
!= e20 )
| ( ( h1 @ e11 )
!= e21 )
| ( ( h1 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
| ( ( h1 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) )
| ( ( h1 @ e12 )
!= e22 )
| ( ( h1 @ e13 )
!= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl838]) ).
thf(zip_derived_cl50390,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257','258','259','260','261','262','263','264','265','266','267','268','269','270','271','272','273','274','275','276','277','278','279','280','281','282','283','284','285','286','287','288','289','290','291','292','293','294','295','296','297','298','299','300','301','302','303','304','305','306','307','308','309','310','311','312','313','314','315','316','317','318','319','320','321','322','323','324','325','326','327','328','329','330','331','332','333','334','335','336','337','338','339','340','341','342','343','344','345','346','347','348','349','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','456','457','458','459','460','461','462','463','464','465','466','467','468','469','470','471','472','473','474','475','476','477','478','479','480','481','482','483','484','485','486','487','488','489','490','491','492','493','494','495','496','497','498','499','500','501','502','503','504','505','506','507','508','509','510','511','512','513','514','515','516','517','518','519','520','521','522','523','524','525','526','527','528','529','530','531','532','533','534','535','536','537','538','539','540','541','542','543','544','545','546','547','548','549','550','551','552','553','554','555','556','557','558','559','560','561','562','563','564','565','566','567','568','569','570','571','572','573','574','575','576','577','578','579','580','581','582','583','584','585','586','587','588','589','590','591','592','593','594','595','596','597','598','599','600','601','602','603','604','605','606','607','608','609','610','611','612','613','614','615','616','617','618','619','620','621','622','623','624','625','626','627','628','629','630','631','632','633','634','635','636','637','638','639','640','641','642','643','644','645','646','647','648','649','650','651','652','653','654','655','656','657','658','659','660','661','662','663','664','665','666','667','668','669','670','671','672','673','674','675','676','677','678','679','680','681','682','683','684','685','686','687','688','689','690','691','692','693','694','695','696','697','698','699','700','701','702','703','704','705','706','707','708','709','710','711','712','713','714','715','716','717','718','719','720','721','722','723','724','725','726','727','728','729','730','731','732','733','734','735','736','737','738','739','740','741','742','743','744','745','746','747','748','749','750','751','752','753','754','755','756','757','758','759']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG103+1 : TPTP v9.2.0. Released v2.7.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yCotZDDjnO true
% 0.11/0.32 % Computer : n001.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 16:59:23 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.46/0.62 % Total configuration time : 435
% 0.46/0.62 % Estimated wc time : 1092
% 0.46/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 84.69/14.57 % Solved by fo/fo1_av.sh.
% 84.69/14.57 % done 27060 iterations in 13.630s
% 84.69/14.57 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 84.69/14.57 % SZS output start Refutation
% See solution above
% 84.86/14.60
% 84.86/14.60
% 84.86/14.60 % Terminating...
% 85.62/14.79 % Runner terminated.
% 85.62/14.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------