TSTP Solution File: ALG091+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG091+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RpyZ76m7c6 true
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 17:10:26 EDT 2023
% Result : Theorem 1.38s 0.88s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 315
% Syntax : Number of formulae : 763 ( 244 unt; 209 typ; 0 def)
% Number of atoms : 1997 (1289 equ; 0 cnn)
% Maximal formula atoms : 440 ( 3 avg)
% Number of connectives : 4057 ( 364 ~; 979 |; 363 &;2250 @)
% ( 0 <=>; 101 =>; 0 <=; 0 <~>)
% Maximal formula depth : 113 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 110 ( 108 usr; 108 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(op_type,type,
op: $i > $i > $i ).
thf(zip_tseitin_86_type,type,
zip_tseitin_86: $o ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $o ).
thf(zip_tseitin_13_type,type,
zip_tseitin_13: $o ).
thf(zip_tseitin_38_type,type,
zip_tseitin_38: $o ).
thf(zip_tseitin_46_type,type,
zip_tseitin_46: $o ).
thf(zip_tseitin_72_type,type,
zip_tseitin_72: $o ).
thf(zip_tseitin_39_type,type,
zip_tseitin_39: $o ).
thf(zip_tseitin_42_type,type,
zip_tseitin_42: $o ).
thf(zip_tseitin_56_type,type,
zip_tseitin_56: $o ).
thf(zip_tseitin_32_type,type,
zip_tseitin_32: $o ).
thf(zip_tseitin_16_type,type,
zip_tseitin_16: $o ).
thf(zip_tseitin_84_type,type,
zip_tseitin_84: $o ).
thf(zip_tseitin_45_type,type,
zip_tseitin_45: $o ).
thf(zip_tseitin_93_type,type,
zip_tseitin_93: $o ).
thf(zip_tseitin_65_type,type,
zip_tseitin_65: $o ).
thf(zip_tseitin_99_type,type,
zip_tseitin_99: $o ).
thf(zip_tseitin_25_type,type,
zip_tseitin_25: $o ).
thf(zip_tseitin_100_type,type,
zip_tseitin_100: $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $o ).
thf(zip_tseitin_54_type,type,
zip_tseitin_54: $o ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $o ).
thf(zip_tseitin_70_type,type,
zip_tseitin_70: $o ).
thf(zip_tseitin_31_type,type,
zip_tseitin_31: $o ).
thf(zip_tseitin_63_type,type,
zip_tseitin_63: $o ).
thf(zip_tseitin_40_type,type,
zip_tseitin_40: $o ).
thf(unit_type,type,
unit: $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $o ).
thf(zip_tseitin_30_type,type,
zip_tseitin_30: $o ).
thf(zip_tseitin_83_type,type,
zip_tseitin_83: $o ).
thf(zip_tseitin_17_type,type,
zip_tseitin_17: $o ).
thf(zip_tseitin_77_type,type,
zip_tseitin_77: $o ).
thf(zip_tseitin_89_type,type,
zip_tseitin_89: $o ).
thf(zip_tseitin_82_type,type,
zip_tseitin_82: $o ).
thf(zip_tseitin_90_type,type,
zip_tseitin_90: $o ).
thf(e4_type,type,
e4: $i ).
thf(zip_tseitin_92_type,type,
zip_tseitin_92: $o ).
thf(zip_tseitin_95_type,type,
zip_tseitin_95: $o ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $o ).
thf(zip_tseitin_41_type,type,
zip_tseitin_41: $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $o ).
thf(zip_tseitin_87_type,type,
zip_tseitin_87: $o ).
thf(e3_type,type,
e3: $i ).
thf(zip_tseitin_48_type,type,
zip_tseitin_48: $o ).
thf(zip_tseitin_62_type,type,
zip_tseitin_62: $o ).
thf(zip_tseitin_20_type,type,
zip_tseitin_20: $o ).
thf(zip_tseitin_35_type,type,
zip_tseitin_35: $o ).
thf(zip_tseitin_44_type,type,
zip_tseitin_44: $o ).
thf(zip_tseitin_14_type,type,
zip_tseitin_14: $o ).
thf(zip_tseitin_50_type,type,
zip_tseitin_50: $o ).
thf(zip_tseitin_52_type,type,
zip_tseitin_52: $o ).
thf(zip_tseitin_94_type,type,
zip_tseitin_94: $o ).
thf(zip_tseitin_67_type,type,
zip_tseitin_67: $o ).
thf(zip_tseitin_37_type,type,
zip_tseitin_37: $o ).
thf(zip_tseitin_49_type,type,
zip_tseitin_49: $o ).
thf(zip_tseitin_73_type,type,
zip_tseitin_73: $o ).
thf(zip_tseitin_78_type,type,
zip_tseitin_78: $o ).
thf(zip_tseitin_34_type,type,
zip_tseitin_34: $o ).
thf(zip_tseitin_85_type,type,
zip_tseitin_85: $o ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $o ).
thf(zip_tseitin_69_type,type,
zip_tseitin_69: $o ).
thf(zip_tseitin_61_type,type,
zip_tseitin_61: $o ).
thf(zip_tseitin_80_type,type,
zip_tseitin_80: $o ).
thf(zip_tseitin_71_type,type,
zip_tseitin_71: $o ).
thf(zip_tseitin_81_type,type,
zip_tseitin_81: $o ).
thf(e2_type,type,
e2: $i ).
thf(zip_tseitin_51_type,type,
zip_tseitin_51: $o ).
thf(zip_tseitin_75_type,type,
zip_tseitin_75: $o ).
thf(zip_tseitin_29_type,type,
zip_tseitin_29: $o ).
thf(e1_type,type,
e1: $i ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $o ).
thf(zip_tseitin_24_type,type,
zip_tseitin_24: $o ).
thf(zip_tseitin_33_type,type,
zip_tseitin_33: $o ).
thf(zip_tseitin_53_type,type,
zip_tseitin_53: $o ).
thf(zip_tseitin_27_type,type,
zip_tseitin_27: $o ).
thf(zip_tseitin_98_type,type,
zip_tseitin_98: $o ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $o ).
thf(zip_tseitin_47_type,type,
zip_tseitin_47: $o ).
thf(zip_tseitin_74_type,type,
zip_tseitin_74: $o ).
thf(zip_tseitin_57_type,type,
zip_tseitin_57: $o ).
thf(zip_tseitin_68_type,type,
zip_tseitin_68: $o ).
thf(zip_tseitin_96_type,type,
zip_tseitin_96: $o ).
thf(e0_type,type,
e0: $i ).
thf(zip_tseitin_43_type,type,
zip_tseitin_43: $o ).
thf(zip_tseitin_64_type,type,
zip_tseitin_64: $o ).
thf(zip_tseitin_76_type,type,
zip_tseitin_76: $o ).
thf(zip_tseitin_21_type,type,
zip_tseitin_21: $o ).
thf(zip_tseitin_22_type,type,
zip_tseitin_22: $o ).
thf(zip_tseitin_28_type,type,
zip_tseitin_28: $o ).
thf(zip_tseitin_55_type,type,
zip_tseitin_55: $o ).
thf(zip_tseitin_18_type,type,
zip_tseitin_18: $o ).
thf(zip_tseitin_60_type,type,
zip_tseitin_60: $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $o ).
thf(zip_tseitin_97_type,type,
zip_tseitin_97: $o ).
thf(zip_tseitin_79_type,type,
zip_tseitin_79: $o ).
thf(zip_tseitin_66_type,type,
zip_tseitin_66: $o ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $o ).
thf(zip_tseitin_91_type,type,
zip_tseitin_91: $o ).
thf(zip_tseitin_59_type,type,
zip_tseitin_59: $o ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $o ).
thf(zip_tseitin_36_type,type,
zip_tseitin_36: $o ).
thf(zip_tseitin_26_type,type,
zip_tseitin_26: $o ).
thf(zip_tseitin_58_type,type,
zip_tseitin_58: $o ).
thf(zip_tseitin_19_type,type,
zip_tseitin_19: $o ).
thf(zip_tseitin_23_type,type,
zip_tseitin_23: $o ).
thf(zip_tseitin_15_type,type,
zip_tseitin_15: $o ).
thf(zip_tseitin_88_type,type,
zip_tseitin_88: $o ).
thf(co1,conjecture,
( ( ( ( op @ e0 @ e4 )
= e4 )
| ( ( op @ e1 @ e4 )
= e4 )
| ( ( op @ e2 @ e4 )
= e4 )
| ( ( op @ e3 @ e4 )
= e4 )
| ( ( op @ e4 @ e4 )
= e4 ) )
& ( ( ( op @ e4 @ e0 )
= e4 )
| ( ( op @ e4 @ e1 )
= e4 )
| ( ( op @ e4 @ e2 )
= e4 )
| ( ( op @ e4 @ e3 )
= e4 )
| ( ( op @ e4 @ e4 )
= e4 ) )
& ( ( ( op @ e0 @ e4 )
= e3 )
| ( ( op @ e1 @ e4 )
= e3 )
| ( ( op @ e2 @ e4 )
= e3 )
| ( ( op @ e3 @ e4 )
= e3 )
| ( ( op @ e4 @ e4 )
= e3 ) )
& ( ( ( op @ e4 @ e0 )
= e3 )
| ( ( op @ e4 @ e1 )
= e3 )
| ( ( op @ e4 @ e2 )
= e3 )
| ( ( op @ e4 @ e3 )
= e3 )
| ( ( op @ e4 @ e4 )
= e3 ) )
& ( ( ( op @ e0 @ e4 )
= e2 )
| ( ( op @ e1 @ e4 )
= e2 )
| ( ( op @ e2 @ e4 )
= e2 )
| ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e4 @ e4 )
= e2 ) )
& ( ( ( op @ e4 @ e0 )
= e2 )
| ( ( op @ e4 @ e1 )
= e2 )
| ( ( op @ e4 @ e2 )
= e2 )
| ( ( op @ e4 @ e3 )
= e2 )
| ( ( op @ e4 @ e4 )
= e2 ) )
& ( ( ( op @ e0 @ e4 )
= e1 )
| ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e3 @ e4 )
= e1 )
| ( ( op @ e4 @ e4 )
= e1 ) )
& ( ( ( op @ e4 @ e0 )
= e1 )
| ( ( op @ e4 @ e1 )
= e1 )
| ( ( op @ e4 @ e2 )
= e1 )
| ( ( op @ e4 @ e3 )
= e1 )
| ( ( op @ e4 @ e4 )
= e1 ) )
& ( ( ( op @ e0 @ e4 )
= e0 )
| ( ( op @ e1 @ e4 )
= e0 )
| ( ( op @ e2 @ e4 )
= e0 )
| ( ( op @ e3 @ e4 )
= e0 )
| ( ( op @ e4 @ e4 )
= e0 ) )
& ( ( ( op @ e4 @ e0 )
= e0 )
| ( ( op @ e4 @ e1 )
= e0 )
| ( ( op @ e4 @ e2 )
= e0 )
| ( ( op @ e4 @ e3 )
= e0 )
| ( ( op @ e4 @ e4 )
= e0 ) )
& ( ( ( op @ e0 @ e3 )
= e4 )
| ( ( op @ e1 @ e3 )
= e4 )
| ( ( op @ e2 @ e3 )
= e4 )
| ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e4 @ e3 )
= e4 ) )
& ( ( ( op @ e3 @ e0 )
= e4 )
| ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e3 @ e4 )
= e4 ) )
& ( ( ( op @ e0 @ e3 )
= e3 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e4 @ e3 )
= e3 ) )
& ( ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e3 @ e4 )
= e3 ) )
& ( ( ( op @ e0 @ e3 )
= e2 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e4 @ e3 )
= e2 ) )
& ( ( ( op @ e3 @ e0 )
= e2 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e3 @ e4 )
= e2 ) )
& ( ( ( op @ e0 @ e3 )
= e1 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e4 @ e3 )
= e1 ) )
& ( ( ( op @ e3 @ e0 )
= e1 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e3 @ e4 )
= e1 ) )
& ( ( ( op @ e0 @ e3 )
= e0 )
| ( ( op @ e1 @ e3 )
= e0 )
| ( ( op @ e2 @ e3 )
= e0 )
| ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e4 @ e3 )
= e0 ) )
& ( ( ( op @ e3 @ e0 )
= e0 )
| ( ( op @ e3 @ e1 )
= e0 )
| ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e3 @ e4 )
= e0 ) )
& ( ( ( op @ e0 @ e2 )
= e4 )
| ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e4 @ e2 )
= e4 ) )
& ( ( ( op @ e2 @ e0 )
= e4 )
| ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e2 @ e3 )
= e4 )
| ( ( op @ e2 @ e4 )
= e4 ) )
& ( ( ( op @ e0 @ e2 )
= e3 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e4 @ e2 )
= e3 ) )
& ( ( ( op @ e2 @ e0 )
= e3 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e2 @ e4 )
= e3 ) )
& ( ( ( op @ e0 @ e2 )
= e2 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e4 @ e2 )
= e2 ) )
& ( ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e2 @ e4 )
= e2 ) )
& ( ( ( op @ e0 @ e2 )
= e1 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e4 @ e2 )
= e1 ) )
& ( ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e2 @ e4 )
= e1 ) )
& ( ( ( op @ e0 @ e2 )
= e0 )
| ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e4 @ e2 )
= e0 ) )
& ( ( ( op @ e2 @ e0 )
= e0 )
| ( ( op @ e2 @ e1 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e2 @ e3 )
= e0 )
| ( ( op @ e2 @ e4 )
= e0 ) )
& ( ( ( op @ e0 @ e1 )
= e4 )
| ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e4 @ e1 )
= e4 ) )
& ( ( ( op @ e1 @ e0 )
= e4 )
| ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e1 @ e3 )
= e4 )
| ( ( op @ e1 @ e4 )
= e4 ) )
& ( ( ( op @ e0 @ e1 )
= e3 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e4 @ e1 )
= e3 ) )
& ( ( ( op @ e1 @ e0 )
= e3 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e1 @ e4 )
= e3 ) )
& ( ( ( op @ e0 @ e1 )
= e2 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e4 @ e1 )
= e2 ) )
& ( ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e1 @ e4 )
= e2 ) )
& ( ( ( op @ e0 @ e1 )
= e1 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e4 @ e1 )
= e1 ) )
& ( ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e4 )
= e1 ) )
& ( ( ( op @ e0 @ e1 )
= e0 )
| ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e2 @ e1 )
= e0 )
| ( ( op @ e3 @ e1 )
= e0 )
| ( ( op @ e4 @ e1 )
= e0 ) )
& ( ( ( op @ e1 @ e0 )
= e0 )
| ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e1 @ e3 )
= e0 )
| ( ( op @ e1 @ e4 )
= e0 ) )
& ( ( ( op @ e0 @ e0 )
= e4 )
| ( ( op @ e1 @ e0 )
= e4 )
| ( ( op @ e2 @ e0 )
= e4 )
| ( ( op @ e3 @ e0 )
= e4 )
| ( ( op @ e4 @ e0 )
= e4 ) )
& ( ( ( op @ e0 @ e0 )
= e4 )
| ( ( op @ e0 @ e1 )
= e4 )
| ( ( op @ e0 @ e2 )
= e4 )
| ( ( op @ e0 @ e3 )
= e4 )
| ( ( op @ e0 @ e4 )
= e4 ) )
& ( ( ( op @ e0 @ e0 )
= e3 )
| ( ( op @ e1 @ e0 )
= e3 )
| ( ( op @ e2 @ e0 )
= e3 )
| ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e4 @ e0 )
= e3 ) )
& ( ( ( op @ e0 @ e0 )
= e3 )
| ( ( op @ e0 @ e1 )
= e3 )
| ( ( op @ e0 @ e2 )
= e3 )
| ( ( op @ e0 @ e3 )
= e3 )
| ( ( op @ e0 @ e4 )
= e3 ) )
& ( ( ( op @ e0 @ e0 )
= e2 )
| ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e3 @ e0 )
= e2 )
| ( ( op @ e4 @ e0 )
= e2 ) )
& ( ( ( op @ e0 @ e0 )
= e2 )
| ( ( op @ e0 @ e1 )
= e2 )
| ( ( op @ e0 @ e2 )
= e2 )
| ( ( op @ e0 @ e3 )
= e2 )
| ( ( op @ e0 @ e4 )
= e2 ) )
& ( ( ( op @ e0 @ e0 )
= e1 )
| ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e3 @ e0 )
= e1 )
| ( ( op @ e4 @ e0 )
= e1 ) )
& ( ( ( op @ e0 @ e0 )
= e1 )
| ( ( op @ e0 @ e1 )
= e1 )
| ( ( op @ e0 @ e2 )
= e1 )
| ( ( op @ e0 @ e3 )
= e1 )
| ( ( op @ e0 @ e4 )
= e1 ) )
& ( ( ( op @ e0 @ e0 )
= e0 )
| ( ( op @ e1 @ e0 )
= e0 )
| ( ( op @ e2 @ e0 )
= e0 )
| ( ( op @ e3 @ e0 )
= e0 )
| ( ( op @ e4 @ e0 )
= e0 ) )
& ( ( ( op @ e0 @ e0 )
= e0 )
| ( ( op @ e0 @ e1 )
= e0 )
| ( ( op @ e0 @ e2 )
= e0 )
| ( ( op @ e0 @ e3 )
= e0 )
| ( ( op @ e0 @ e4 )
= e0 ) )
& ( ( unit = e0 )
| ( unit = e1 )
| ( unit = e2 )
| ( unit = e3 )
| ( unit = e4 ) )
& ( ( op @ e4 @ unit )
= e4 )
& ( ( op @ unit @ e4 )
= e4 )
& ( ( op @ e3 @ unit )
= e3 )
& ( ( op @ unit @ e3 )
= e3 )
& ( ( op @ e2 @ unit )
= e2 )
& ( ( op @ unit @ e2 )
= e2 )
& ( ( op @ e1 @ unit )
= e1 )
& ( ( op @ unit @ e1 )
= e1 )
& ( ( op @ e0 @ unit )
= e0 )
& ( ( op @ unit @ e0 )
= e0 )
& ( ( ( op @ e4 @ e4 )
= e0 )
| ( ( op @ e4 @ e4 )
= e1 )
| ( ( op @ e4 @ e4 )
= e2 )
| ( ( op @ e4 @ e4 )
= e3 )
| ( ( op @ e4 @ e4 )
= e4 ) )
& ( ( ( op @ e4 @ e3 )
= e0 )
| ( ( op @ e4 @ e3 )
= e1 )
| ( ( op @ e4 @ e3 )
= e2 )
| ( ( op @ e4 @ e3 )
= e3 )
| ( ( op @ e4 @ e3 )
= e4 ) )
& ( ( ( op @ e4 @ e2 )
= e0 )
| ( ( op @ e4 @ e2 )
= e1 )
| ( ( op @ e4 @ e2 )
= e2 )
| ( ( op @ e4 @ e2 )
= e3 )
| ( ( op @ e4 @ e2 )
= e4 ) )
& ( ( ( op @ e4 @ e1 )
= e0 )
| ( ( op @ e4 @ e1 )
= e1 )
| ( ( op @ e4 @ e1 )
= e2 )
| ( ( op @ e4 @ e1 )
= e3 )
| ( ( op @ e4 @ e1 )
= e4 ) )
& ( ( ( op @ e4 @ e0 )
= e0 )
| ( ( op @ e4 @ e0 )
= e1 )
| ( ( op @ e4 @ e0 )
= e2 )
| ( ( op @ e4 @ e0 )
= e3 )
| ( ( op @ e4 @ e0 )
= e4 ) )
& ( ( ( op @ e3 @ e4 )
= e0 )
| ( ( op @ e3 @ e4 )
= e1 )
| ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e3 @ e4 )
= e3 )
| ( ( op @ e3 @ e4 )
= e4 ) )
& ( ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e3 @ e3 )
= e4 ) )
& ( ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e3 @ e2 )
= e4 ) )
& ( ( ( op @ e3 @ e1 )
= e0 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e3 @ e1 )
= e4 ) )
& ( ( ( op @ e3 @ e0 )
= e0 )
| ( ( op @ e3 @ e0 )
= e1 )
| ( ( op @ e3 @ e0 )
= e2 )
| ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e3 @ e0 )
= e4 ) )
& ( ( ( op @ e2 @ e4 )
= e0 )
| ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e2 @ e4 )
= e2 )
| ( ( op @ e2 @ e4 )
= e3 )
| ( ( op @ e2 @ e4 )
= e4 ) )
& ( ( ( op @ e2 @ e3 )
= e0 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e2 @ e3 )
= e4 ) )
& ( ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e2 @ e2 )
= e4 ) )
& ( ( ( op @ e2 @ e1 )
= e0 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e2 @ e1 )
= e4 ) )
& ( ( ( op @ e2 @ e0 )
= e0 )
| ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e2 @ e0 )
= e3 )
| ( ( op @ e2 @ e0 )
= e4 ) )
& ( ( ( op @ e1 @ e4 )
= e0 )
| ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e1 @ e4 )
= e2 )
| ( ( op @ e1 @ e4 )
= e3 )
| ( ( op @ e1 @ e4 )
= e4 ) )
& ( ( ( op @ e1 @ e3 )
= e0 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e1 @ e3 )
= e4 ) )
& ( ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e1 @ e2 )
= e4 ) )
& ( ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e1 @ e1 )
= e4 ) )
& ( ( ( op @ e1 @ e0 )
= e0 )
| ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e1 @ e0 )
= e3 )
| ( ( op @ e1 @ e0 )
= e4 ) )
& ( ( ( op @ e0 @ e4 )
= e0 )
| ( ( op @ e0 @ e4 )
= e1 )
| ( ( op @ e0 @ e4 )
= e2 )
| ( ( op @ e0 @ e4 )
= e3 )
| ( ( op @ e0 @ e4 )
= e4 ) )
& ( ( ( op @ e0 @ e3 )
= e0 )
| ( ( op @ e0 @ e3 )
= e1 )
| ( ( op @ e0 @ e3 )
= e2 )
| ( ( op @ e0 @ e3 )
= e3 )
| ( ( op @ e0 @ e3 )
= e4 ) )
& ( ( ( op @ e0 @ e2 )
= e0 )
| ( ( op @ e0 @ e2 )
= e1 )
| ( ( op @ e0 @ e2 )
= e2 )
| ( ( op @ e0 @ e2 )
= e3 )
| ( ( op @ e0 @ e2 )
= e4 ) )
& ( ( ( op @ e0 @ e1 )
= e0 )
| ( ( op @ e0 @ e1 )
= e1 )
| ( ( op @ e0 @ e1 )
= e2 )
| ( ( op @ e0 @ e1 )
= e3 )
| ( ( op @ e0 @ e1 )
= e4 ) )
& ( ( ( op @ e0 @ e0 )
= e0 )
| ( ( op @ e0 @ e0 )
= e1 )
| ( ( op @ e0 @ e0 )
= e2 )
| ( ( op @ e0 @ e0 )
= e3 )
| ( ( op @ e0 @ e0 )
= e4 ) )
& ( ( ( op @ e4 @ e4 )
!= e4 )
| ( ( op @ e4 @ e4 )
= e4 ) )
& ( ( ( op @ e4 @ e4 )
!= e3 )
| ( ( op @ e4 @ e3 )
= e4 ) )
& ( ( ( op @ e4 @ e4 )
!= e2 )
| ( ( op @ e4 @ e2 )
= e4 ) )
& ( ( ( op @ e4 @ e4 )
!= e1 )
| ( ( op @ e4 @ e1 )
= e4 ) )
& ( ( ( op @ e4 @ e4 )
!= e0 )
| ( ( op @ e4 @ e0 )
= e4 ) )
& ( ( ( op @ e3 @ e3 )
!= e4 )
| ( ( op @ e3 @ e4 )
= e3 ) )
& ( ( ( op @ e3 @ e3 )
!= e3 )
| ( ( op @ e3 @ e3 )
= e3 ) )
& ( ( ( op @ e3 @ e3 )
!= e2 )
| ( ( op @ e3 @ e2 )
= e3 ) )
& ( ( ( op @ e3 @ e3 )
!= e1 )
| ( ( op @ e3 @ e1 )
= e3 ) )
& ( ( ( op @ e3 @ e3 )
!= e0 )
| ( ( op @ e3 @ e0 )
= e3 ) )
& ( ( ( op @ e2 @ e2 )
!= e4 )
| ( ( op @ e2 @ e4 )
= e2 ) )
& ( ( ( op @ e2 @ e2 )
!= e3 )
| ( ( op @ e2 @ e3 )
= e2 ) )
& ( ( ( op @ e2 @ e2 )
!= e2 )
| ( ( op @ e2 @ e2 )
= e2 ) )
& ( ( ( op @ e2 @ e2 )
!= e1 )
| ( ( op @ e2 @ e1 )
= e2 ) )
& ( ( ( op @ e2 @ e2 )
!= e0 )
| ( ( op @ e2 @ e0 )
= e2 ) )
& ( ( ( op @ e1 @ e1 )
!= e4 )
| ( ( op @ e1 @ e4 )
= e1 ) )
& ( ( ( op @ e1 @ e1 )
!= e3 )
| ( ( op @ e1 @ e3 )
= e1 ) )
& ( ( ( op @ e1 @ e1 )
!= e2 )
| ( ( op @ e1 @ e2 )
= e1 ) )
& ( ( ( op @ e1 @ e1 )
!= e1 )
| ( ( op @ e1 @ e1 )
= e1 ) )
& ( ( ( op @ e1 @ e1 )
!= e0 )
| ( ( op @ e1 @ e0 )
= e1 ) )
& ( ( ( op @ e0 @ e0 )
!= e4 )
| ( ( op @ e0 @ e4 )
= e0 ) )
& ( ( ( op @ e0 @ e0 )
!= e3 )
| ( ( op @ e0 @ e3 )
= e0 ) )
& ( ( ( op @ e0 @ e0 )
!= e2 )
| ( ( op @ e0 @ e2 )
= e0 ) )
& ( ( ( op @ e0 @ e0 )
!= e1 )
| ( ( op @ e0 @ e1 )
= e0 ) )
& ( ( ( op @ e0 @ e0 )
!= e0 )
| ( ( op @ e0 @ e0 )
= e0 ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_100: $o ).
thf(zf_stmt_1,axiom,
( ( ( ( op @ e0 @ e0 )
= e0 )
| ( ( op @ e0 @ e0 )
!= e0 ) )
=> zip_tseitin_100 ) ).
thf(zf_stmt_2,type,
zip_tseitin_99: $o ).
thf(zf_stmt_3,axiom,
( ( ( ( op @ e0 @ e1 )
= e0 )
| ( ( op @ e0 @ e0 )
!= e1 ) )
=> zip_tseitin_99 ) ).
thf(zf_stmt_4,type,
zip_tseitin_98: $o ).
thf(zf_stmt_5,axiom,
( ( ( ( op @ e0 @ e2 )
= e0 )
| ( ( op @ e0 @ e0 )
!= e2 ) )
=> zip_tseitin_98 ) ).
thf(zf_stmt_6,type,
zip_tseitin_97: $o ).
thf(zf_stmt_7,axiom,
( ( ( ( op @ e0 @ e3 )
= e0 )
| ( ( op @ e0 @ e0 )
!= e3 ) )
=> zip_tseitin_97 ) ).
thf(zf_stmt_8,type,
zip_tseitin_96: $o ).
thf(zf_stmt_9,axiom,
( ( ( ( op @ e0 @ e4 )
= e0 )
| ( ( op @ e0 @ e0 )
!= e4 ) )
=> zip_tseitin_96 ) ).
thf(zf_stmt_10,type,
zip_tseitin_95: $o ).
thf(zf_stmt_11,axiom,
( ( ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e1 @ e1 )
!= e0 ) )
=> zip_tseitin_95 ) ).
thf(zf_stmt_12,type,
zip_tseitin_94: $o ).
thf(zf_stmt_13,axiom,
( ( ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e1 @ e1 )
!= e1 ) )
=> zip_tseitin_94 ) ).
thf(zf_stmt_14,type,
zip_tseitin_93: $o ).
thf(zf_stmt_15,axiom,
( ( ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e1 @ e1 )
!= e2 ) )
=> zip_tseitin_93 ) ).
thf(zf_stmt_16,type,
zip_tseitin_92: $o ).
thf(zf_stmt_17,axiom,
( ( ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e1 )
!= e3 ) )
=> zip_tseitin_92 ) ).
thf(zf_stmt_18,type,
zip_tseitin_91: $o ).
thf(zf_stmt_19,axiom,
( ( ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e1 @ e1 )
!= e4 ) )
=> zip_tseitin_91 ) ).
thf(zf_stmt_20,type,
zip_tseitin_90: $o ).
thf(zf_stmt_21,axiom,
( ( ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e2 @ e2 )
!= e0 ) )
=> zip_tseitin_90 ) ).
thf(zf_stmt_22,type,
zip_tseitin_89: $o ).
thf(zf_stmt_23,axiom,
( ( ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e2 @ e2 )
!= e1 ) )
=> zip_tseitin_89 ) ).
thf(zf_stmt_24,type,
zip_tseitin_88: $o ).
thf(zf_stmt_25,axiom,
( ( ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e2 @ e2 )
!= e2 ) )
=> zip_tseitin_88 ) ).
thf(zf_stmt_26,type,
zip_tseitin_87: $o ).
thf(zf_stmt_27,axiom,
( ( ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e2 @ e2 )
!= e3 ) )
=> zip_tseitin_87 ) ).
thf(zf_stmt_28,type,
zip_tseitin_86: $o ).
thf(zf_stmt_29,axiom,
( ( ( ( op @ e2 @ e4 )
= e2 )
| ( ( op @ e2 @ e2 )
!= e4 ) )
=> zip_tseitin_86 ) ).
thf(zf_stmt_30,type,
zip_tseitin_85: $o ).
thf(zf_stmt_31,axiom,
( ( ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e3 @ e3 )
!= e0 ) )
=> zip_tseitin_85 ) ).
thf(zf_stmt_32,type,
zip_tseitin_84: $o ).
thf(zf_stmt_33,axiom,
( ( ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e3 @ e3 )
!= e1 ) )
=> zip_tseitin_84 ) ).
thf(zf_stmt_34,type,
zip_tseitin_83: $o ).
thf(zf_stmt_35,axiom,
( ( ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e3 @ e3 )
!= e2 ) )
=> zip_tseitin_83 ) ).
thf(zf_stmt_36,type,
zip_tseitin_82: $o ).
thf(zf_stmt_37,axiom,
( ( ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e3 @ e3 )
!= e3 ) )
=> zip_tseitin_82 ) ).
thf(zf_stmt_38,type,
zip_tseitin_81: $o ).
thf(zf_stmt_39,axiom,
( ( ( ( op @ e3 @ e4 )
= e3 )
| ( ( op @ e3 @ e3 )
!= e4 ) )
=> zip_tseitin_81 ) ).
thf(zf_stmt_40,type,
zip_tseitin_80: $o ).
thf(zf_stmt_41,axiom,
( ( ( ( op @ e4 @ e0 )
= e4 )
| ( ( op @ e4 @ e4 )
!= e0 ) )
=> zip_tseitin_80 ) ).
thf(zf_stmt_42,type,
zip_tseitin_79: $o ).
thf(zf_stmt_43,axiom,
( ( ( ( op @ e4 @ e1 )
= e4 )
| ( ( op @ e4 @ e4 )
!= e1 ) )
=> zip_tseitin_79 ) ).
thf(zf_stmt_44,type,
zip_tseitin_78: $o ).
thf(zf_stmt_45,axiom,
( ( ( ( op @ e4 @ e2 )
= e4 )
| ( ( op @ e4 @ e4 )
!= e2 ) )
=> zip_tseitin_78 ) ).
thf(zf_stmt_46,type,
zip_tseitin_77: $o ).
thf(zf_stmt_47,axiom,
( ( ( ( op @ e4 @ e3 )
= e4 )
| ( ( op @ e4 @ e4 )
!= e3 ) )
=> zip_tseitin_77 ) ).
thf(zf_stmt_48,type,
zip_tseitin_76: $o ).
thf(zf_stmt_49,axiom,
( ( ( ( op @ e4 @ e4 )
= e4 )
| ( ( op @ e4 @ e4 )
!= e4 ) )
=> zip_tseitin_76 ) ).
thf(zf_stmt_50,type,
zip_tseitin_75: $o ).
thf(zf_stmt_51,axiom,
( ( ( ( op @ e0 @ e0 )
= e4 )
| ( ( op @ e0 @ e0 )
= e3 )
| ( ( op @ e0 @ e0 )
= e2 )
| ( ( op @ e0 @ e0 )
= e1 )
| ( ( op @ e0 @ e0 )
= e0 ) )
=> zip_tseitin_75 ) ).
thf(zf_stmt_52,type,
zip_tseitin_74: $o ).
thf(zf_stmt_53,axiom,
( ( ( ( op @ e0 @ e1 )
= e4 )
| ( ( op @ e0 @ e1 )
= e3 )
| ( ( op @ e0 @ e1 )
= e2 )
| ( ( op @ e0 @ e1 )
= e1 )
| ( ( op @ e0 @ e1 )
= e0 ) )
=> zip_tseitin_74 ) ).
thf(zf_stmt_54,type,
zip_tseitin_73: $o ).
thf(zf_stmt_55,axiom,
( ( ( ( op @ e0 @ e2 )
= e4 )
| ( ( op @ e0 @ e2 )
= e3 )
| ( ( op @ e0 @ e2 )
= e2 )
| ( ( op @ e0 @ e2 )
= e1 )
| ( ( op @ e0 @ e2 )
= e0 ) )
=> zip_tseitin_73 ) ).
thf(zf_stmt_56,type,
zip_tseitin_72: $o ).
thf(zf_stmt_57,axiom,
( ( ( ( op @ e0 @ e3 )
= e4 )
| ( ( op @ e0 @ e3 )
= e3 )
| ( ( op @ e0 @ e3 )
= e2 )
| ( ( op @ e0 @ e3 )
= e1 )
| ( ( op @ e0 @ e3 )
= e0 ) )
=> zip_tseitin_72 ) ).
thf(zf_stmt_58,type,
zip_tseitin_71: $o ).
thf(zf_stmt_59,axiom,
( ( ( ( op @ e0 @ e4 )
= e4 )
| ( ( op @ e0 @ e4 )
= e3 )
| ( ( op @ e0 @ e4 )
= e2 )
| ( ( op @ e0 @ e4 )
= e1 )
| ( ( op @ e0 @ e4 )
= e0 ) )
=> zip_tseitin_71 ) ).
thf(zf_stmt_60,type,
zip_tseitin_70: $o ).
thf(zf_stmt_61,axiom,
( ( ( ( op @ e1 @ e0 )
= e4 )
| ( ( op @ e1 @ e0 )
= e3 )
| ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e1 @ e0 )
= e0 ) )
=> zip_tseitin_70 ) ).
thf(zf_stmt_62,type,
zip_tseitin_69: $o ).
thf(zf_stmt_63,axiom,
( ( ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e1 @ e1 )
= e0 ) )
=> zip_tseitin_69 ) ).
thf(zf_stmt_64,type,
zip_tseitin_68: $o ).
thf(zf_stmt_65,axiom,
( ( ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e1 @ e2 )
= e0 ) )
=> zip_tseitin_68 ) ).
thf(zf_stmt_66,type,
zip_tseitin_67: $o ).
thf(zf_stmt_67,axiom,
( ( ( ( op @ e1 @ e3 )
= e4 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e3 )
= e0 ) )
=> zip_tseitin_67 ) ).
thf(zf_stmt_68,type,
zip_tseitin_66: $o ).
thf(zf_stmt_69,axiom,
( ( ( ( op @ e1 @ e4 )
= e4 )
| ( ( op @ e1 @ e4 )
= e3 )
| ( ( op @ e1 @ e4 )
= e2 )
| ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e1 @ e4 )
= e0 ) )
=> zip_tseitin_66 ) ).
thf(zf_stmt_70,type,
zip_tseitin_65: $o ).
thf(zf_stmt_71,axiom,
( ( ( ( op @ e2 @ e0 )
= e4 )
| ( ( op @ e2 @ e0 )
= e3 )
| ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e2 @ e0 )
= e0 ) )
=> zip_tseitin_65 ) ).
thf(zf_stmt_72,type,
zip_tseitin_64: $o ).
thf(zf_stmt_73,axiom,
( ( ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e2 @ e1 )
= e0 ) )
=> zip_tseitin_64 ) ).
thf(zf_stmt_74,type,
zip_tseitin_63: $o ).
thf(zf_stmt_75,axiom,
( ( ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e2 @ e2 )
= e0 ) )
=> zip_tseitin_63 ) ).
thf(zf_stmt_76,type,
zip_tseitin_62: $o ).
thf(zf_stmt_77,axiom,
( ( ( ( op @ e2 @ e3 )
= e4 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e2 @ e3 )
= e0 ) )
=> zip_tseitin_62 ) ).
thf(zf_stmt_78,type,
zip_tseitin_61: $o ).
thf(zf_stmt_79,axiom,
( ( ( ( op @ e2 @ e4 )
= e4 )
| ( ( op @ e2 @ e4 )
= e3 )
| ( ( op @ e2 @ e4 )
= e2 )
| ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e2 @ e4 )
= e0 ) )
=> zip_tseitin_61 ) ).
thf(zf_stmt_80,type,
zip_tseitin_60: $o ).
thf(zf_stmt_81,axiom,
( ( ( ( op @ e3 @ e0 )
= e4 )
| ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e3 @ e0 )
= e2 )
| ( ( op @ e3 @ e0 )
= e1 )
| ( ( op @ e3 @ e0 )
= e0 ) )
=> zip_tseitin_60 ) ).
thf(zf_stmt_82,type,
zip_tseitin_59: $o ).
thf(zf_stmt_83,axiom,
( ( ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e3 @ e1 )
= e0 ) )
=> zip_tseitin_59 ) ).
thf(zf_stmt_84,type,
zip_tseitin_58: $o ).
thf(zf_stmt_85,axiom,
( ( ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e3 @ e2 )
= e0 ) )
=> zip_tseitin_58 ) ).
thf(zf_stmt_86,type,
zip_tseitin_57: $o ).
thf(zf_stmt_87,axiom,
( ( ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e3 @ e3 )
= e0 ) )
=> zip_tseitin_57 ) ).
thf(zf_stmt_88,type,
zip_tseitin_56: $o ).
thf(zf_stmt_89,axiom,
( ( ( ( op @ e3 @ e4 )
= e4 )
| ( ( op @ e3 @ e4 )
= e3 )
| ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e3 @ e4 )
= e1 )
| ( ( op @ e3 @ e4 )
= e0 ) )
=> zip_tseitin_56 ) ).
thf(zf_stmt_90,type,
zip_tseitin_55: $o ).
thf(zf_stmt_91,axiom,
( ( ( ( op @ e4 @ e0 )
= e4 )
| ( ( op @ e4 @ e0 )
= e3 )
| ( ( op @ e4 @ e0 )
= e2 )
| ( ( op @ e4 @ e0 )
= e1 )
| ( ( op @ e4 @ e0 )
= e0 ) )
=> zip_tseitin_55 ) ).
thf(zf_stmt_92,type,
zip_tseitin_54: $o ).
thf(zf_stmt_93,axiom,
( ( ( ( op @ e4 @ e1 )
= e4 )
| ( ( op @ e4 @ e1 )
= e3 )
| ( ( op @ e4 @ e1 )
= e2 )
| ( ( op @ e4 @ e1 )
= e1 )
| ( ( op @ e4 @ e1 )
= e0 ) )
=> zip_tseitin_54 ) ).
thf(zf_stmt_94,type,
zip_tseitin_53: $o ).
thf(zf_stmt_95,axiom,
( ( ( ( op @ e4 @ e2 )
= e4 )
| ( ( op @ e4 @ e2 )
= e3 )
| ( ( op @ e4 @ e2 )
= e2 )
| ( ( op @ e4 @ e2 )
= e1 )
| ( ( op @ e4 @ e2 )
= e0 ) )
=> zip_tseitin_53 ) ).
thf(zf_stmt_96,type,
zip_tseitin_52: $o ).
thf(zf_stmt_97,axiom,
( ( ( ( op @ e4 @ e3 )
= e4 )
| ( ( op @ e4 @ e3 )
= e3 )
| ( ( op @ e4 @ e3 )
= e2 )
| ( ( op @ e4 @ e3 )
= e1 )
| ( ( op @ e4 @ e3 )
= e0 ) )
=> zip_tseitin_52 ) ).
thf(zf_stmt_98,type,
zip_tseitin_51: $o ).
thf(zf_stmt_99,axiom,
( ( ( ( op @ e4 @ e4 )
= e4 )
| ( ( op @ e4 @ e4 )
= e3 )
| ( ( op @ e4 @ e4 )
= e2 )
| ( ( op @ e4 @ e4 )
= e1 )
| ( ( op @ e4 @ e4 )
= e0 ) )
=> zip_tseitin_51 ) ).
thf(zf_stmt_100,type,
zip_tseitin_50: $o ).
thf(zf_stmt_101,axiom,
( ( ( unit = e4 )
| ( unit = e3 )
| ( unit = e2 )
| ( unit = e1 )
| ( unit = e0 ) )
=> zip_tseitin_50 ) ).
thf(zf_stmt_102,type,
zip_tseitin_49: $o ).
thf(zf_stmt_103,axiom,
( ( ( ( op @ e0 @ e4 )
= e0 )
| ( ( op @ e0 @ e3 )
= e0 )
| ( ( op @ e0 @ e2 )
= e0 )
| ( ( op @ e0 @ e1 )
= e0 )
| ( ( op @ e0 @ e0 )
= e0 ) )
=> zip_tseitin_49 ) ).
thf(zf_stmt_104,type,
zip_tseitin_48: $o ).
thf(zf_stmt_105,axiom,
( ( ( ( op @ e4 @ e0 )
= e0 )
| ( ( op @ e3 @ e0 )
= e0 )
| ( ( op @ e2 @ e0 )
= e0 )
| ( ( op @ e1 @ e0 )
= e0 )
| ( ( op @ e0 @ e0 )
= e0 ) )
=> zip_tseitin_48 ) ).
thf(zf_stmt_106,type,
zip_tseitin_47: $o ).
thf(zf_stmt_107,axiom,
( ( ( ( op @ e0 @ e4 )
= e1 )
| ( ( op @ e0 @ e3 )
= e1 )
| ( ( op @ e0 @ e2 )
= e1 )
| ( ( op @ e0 @ e1 )
= e1 )
| ( ( op @ e0 @ e0 )
= e1 ) )
=> zip_tseitin_47 ) ).
thf(zf_stmt_108,type,
zip_tseitin_46: $o ).
thf(zf_stmt_109,axiom,
( ( ( ( op @ e4 @ e0 )
= e1 )
| ( ( op @ e3 @ e0 )
= e1 )
| ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e0 @ e0 )
= e1 ) )
=> zip_tseitin_46 ) ).
thf(zf_stmt_110,type,
zip_tseitin_45: $o ).
thf(zf_stmt_111,axiom,
( ( ( ( op @ e0 @ e4 )
= e2 )
| ( ( op @ e0 @ e3 )
= e2 )
| ( ( op @ e0 @ e2 )
= e2 )
| ( ( op @ e0 @ e1 )
= e2 )
| ( ( op @ e0 @ e0 )
= e2 ) )
=> zip_tseitin_45 ) ).
thf(zf_stmt_112,type,
zip_tseitin_44: $o ).
thf(zf_stmt_113,axiom,
( ( ( ( op @ e4 @ e0 )
= e2 )
| ( ( op @ e3 @ e0 )
= e2 )
| ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e0 @ e0 )
= e2 ) )
=> zip_tseitin_44 ) ).
thf(zf_stmt_114,type,
zip_tseitin_43: $o ).
thf(zf_stmt_115,axiom,
( ( ( ( op @ e0 @ e4 )
= e3 )
| ( ( op @ e0 @ e3 )
= e3 )
| ( ( op @ e0 @ e2 )
= e3 )
| ( ( op @ e0 @ e1 )
= e3 )
| ( ( op @ e0 @ e0 )
= e3 ) )
=> zip_tseitin_43 ) ).
thf(zf_stmt_116,type,
zip_tseitin_42: $o ).
thf(zf_stmt_117,axiom,
( ( ( ( op @ e4 @ e0 )
= e3 )
| ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e2 @ e0 )
= e3 )
| ( ( op @ e1 @ e0 )
= e3 )
| ( ( op @ e0 @ e0 )
= e3 ) )
=> zip_tseitin_42 ) ).
thf(zf_stmt_118,type,
zip_tseitin_41: $o ).
thf(zf_stmt_119,axiom,
( ( ( ( op @ e0 @ e4 )
= e4 )
| ( ( op @ e0 @ e3 )
= e4 )
| ( ( op @ e0 @ e2 )
= e4 )
| ( ( op @ e0 @ e1 )
= e4 )
| ( ( op @ e0 @ e0 )
= e4 ) )
=> zip_tseitin_41 ) ).
thf(zf_stmt_120,type,
zip_tseitin_40: $o ).
thf(zf_stmt_121,axiom,
( ( ( ( op @ e4 @ e0 )
= e4 )
| ( ( op @ e3 @ e0 )
= e4 )
| ( ( op @ e2 @ e0 )
= e4 )
| ( ( op @ e1 @ e0 )
= e4 )
| ( ( op @ e0 @ e0 )
= e4 ) )
=> zip_tseitin_40 ) ).
thf(zf_stmt_122,type,
zip_tseitin_39: $o ).
thf(zf_stmt_123,axiom,
( ( ( ( op @ e1 @ e4 )
= e0 )
| ( ( op @ e1 @ e3 )
= e0 )
| ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e1 @ e0 )
= e0 ) )
=> zip_tseitin_39 ) ).
thf(zf_stmt_124,type,
zip_tseitin_38: $o ).
thf(zf_stmt_125,axiom,
( ( ( ( op @ e4 @ e1 )
= e0 )
| ( ( op @ e3 @ e1 )
= e0 )
| ( ( op @ e2 @ e1 )
= e0 )
| ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e0 @ e1 )
= e0 ) )
=> zip_tseitin_38 ) ).
thf(zf_stmt_126,type,
zip_tseitin_37: $o ).
thf(zf_stmt_127,axiom,
( ( ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e1 @ e0 )
= e1 ) )
=> zip_tseitin_37 ) ).
thf(zf_stmt_128,type,
zip_tseitin_36: $o ).
thf(zf_stmt_129,axiom,
( ( ( ( op @ e4 @ e1 )
= e1 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e0 @ e1 )
= e1 ) )
=> zip_tseitin_36 ) ).
thf(zf_stmt_130,type,
zip_tseitin_35: $o ).
thf(zf_stmt_131,axiom,
( ( ( ( op @ e1 @ e4 )
= e2 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e1 @ e0 )
= e2 ) )
=> zip_tseitin_35 ) ).
thf(zf_stmt_132,type,
zip_tseitin_34: $o ).
thf(zf_stmt_133,axiom,
( ( ( ( op @ e4 @ e1 )
= e2 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e0 @ e1 )
= e2 ) )
=> zip_tseitin_34 ) ).
thf(zf_stmt_134,type,
zip_tseitin_33: $o ).
thf(zf_stmt_135,axiom,
( ( ( ( op @ e1 @ e4 )
= e3 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e1 @ e0 )
= e3 ) )
=> zip_tseitin_33 ) ).
thf(zf_stmt_136,type,
zip_tseitin_32: $o ).
thf(zf_stmt_137,axiom,
( ( ( ( op @ e4 @ e1 )
= e3 )
| ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e0 @ e1 )
= e3 ) )
=> zip_tseitin_32 ) ).
thf(zf_stmt_138,type,
zip_tseitin_31: $o ).
thf(zf_stmt_139,axiom,
( ( ( ( op @ e1 @ e4 )
= e4 )
| ( ( op @ e1 @ e3 )
= e4 )
| ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e1 @ e0 )
= e4 ) )
=> zip_tseitin_31 ) ).
thf(zf_stmt_140,type,
zip_tseitin_30: $o ).
thf(zf_stmt_141,axiom,
( ( ( ( op @ e4 @ e1 )
= e4 )
| ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e0 @ e1 )
= e4 ) )
=> zip_tseitin_30 ) ).
thf(zf_stmt_142,type,
zip_tseitin_29: $o ).
thf(zf_stmt_143,axiom,
( ( ( ( op @ e2 @ e4 )
= e0 )
| ( ( op @ e2 @ e3 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e2 @ e1 )
= e0 )
| ( ( op @ e2 @ e0 )
= e0 ) )
=> zip_tseitin_29 ) ).
thf(zf_stmt_144,type,
zip_tseitin_28: $o ).
thf(zf_stmt_145,axiom,
( ( ( ( op @ e4 @ e2 )
= e0 )
| ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e0 @ e2 )
= e0 ) )
=> zip_tseitin_28 ) ).
thf(zf_stmt_146,type,
zip_tseitin_27: $o ).
thf(zf_stmt_147,axiom,
( ( ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e2 @ e0 )
= e1 ) )
=> zip_tseitin_27 ) ).
thf(zf_stmt_148,type,
zip_tseitin_26: $o ).
thf(zf_stmt_149,axiom,
( ( ( ( op @ e4 @ e2 )
= e1 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e0 @ e2 )
= e1 ) )
=> zip_tseitin_26 ) ).
thf(zf_stmt_150,type,
zip_tseitin_25: $o ).
thf(zf_stmt_151,axiom,
( ( ( ( op @ e2 @ e4 )
= e2 )
| ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e2 @ e0 )
= e2 ) )
=> zip_tseitin_25 ) ).
thf(zf_stmt_152,type,
zip_tseitin_24: $o ).
thf(zf_stmt_153,axiom,
( ( ( ( op @ e4 @ e2 )
= e2 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e0 @ e2 )
= e2 ) )
=> zip_tseitin_24 ) ).
thf(zf_stmt_154,type,
zip_tseitin_23: $o ).
thf(zf_stmt_155,axiom,
( ( ( ( op @ e2 @ e4 )
= e3 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e2 @ e0 )
= e3 ) )
=> zip_tseitin_23 ) ).
thf(zf_stmt_156,type,
zip_tseitin_22: $o ).
thf(zf_stmt_157,axiom,
( ( ( ( op @ e4 @ e2 )
= e3 )
| ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e0 @ e2 )
= e3 ) )
=> zip_tseitin_22 ) ).
thf(zf_stmt_158,type,
zip_tseitin_21: $o ).
thf(zf_stmt_159,axiom,
( ( ( ( op @ e2 @ e4 )
= e4 )
| ( ( op @ e2 @ e3 )
= e4 )
| ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e2 @ e0 )
= e4 ) )
=> zip_tseitin_21 ) ).
thf(zf_stmt_160,type,
zip_tseitin_20: $o ).
thf(zf_stmt_161,axiom,
( ( ( ( op @ e4 @ e2 )
= e4 )
| ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e0 @ e2 )
= e4 ) )
=> zip_tseitin_20 ) ).
thf(zf_stmt_162,type,
zip_tseitin_19: $o ).
thf(zf_stmt_163,axiom,
( ( ( ( op @ e3 @ e4 )
= e0 )
| ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e3 @ e1 )
= e0 )
| ( ( op @ e3 @ e0 )
= e0 ) )
=> zip_tseitin_19 ) ).
thf(zf_stmt_164,type,
zip_tseitin_18: $o ).
thf(zf_stmt_165,axiom,
( ( ( ( op @ e4 @ e3 )
= e0 )
| ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e2 @ e3 )
= e0 )
| ( ( op @ e1 @ e3 )
= e0 )
| ( ( op @ e0 @ e3 )
= e0 ) )
=> zip_tseitin_18 ) ).
thf(zf_stmt_166,type,
zip_tseitin_17: $o ).
thf(zf_stmt_167,axiom,
( ( ( ( op @ e3 @ e4 )
= e1 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e3 @ e0 )
= e1 ) )
=> zip_tseitin_17 ) ).
thf(zf_stmt_168,type,
zip_tseitin_16: $o ).
thf(zf_stmt_169,axiom,
( ( ( ( op @ e4 @ e3 )
= e1 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e0 @ e3 )
= e1 ) )
=> zip_tseitin_16 ) ).
thf(zf_stmt_170,type,
zip_tseitin_15: $o ).
thf(zf_stmt_171,axiom,
( ( ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e3 @ e0 )
= e2 ) )
=> zip_tseitin_15 ) ).
thf(zf_stmt_172,type,
zip_tseitin_14: $o ).
thf(zf_stmt_173,axiom,
( ( ( ( op @ e4 @ e3 )
= e2 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e0 @ e3 )
= e2 ) )
=> zip_tseitin_14 ) ).
thf(zf_stmt_174,type,
zip_tseitin_13: $o ).
thf(zf_stmt_175,axiom,
( ( ( ( op @ e3 @ e4 )
= e3 )
| ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e3 @ e0 )
= e3 ) )
=> zip_tseitin_13 ) ).
thf(zf_stmt_176,type,
zip_tseitin_12: $o ).
thf(zf_stmt_177,axiom,
( ( ( ( op @ e4 @ e3 )
= e3 )
| ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e0 @ e3 )
= e3 ) )
=> zip_tseitin_12 ) ).
thf(zf_stmt_178,type,
zip_tseitin_11: $o ).
thf(zf_stmt_179,axiom,
( ( ( ( op @ e3 @ e4 )
= e4 )
| ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e3 @ e0 )
= e4 ) )
=> zip_tseitin_11 ) ).
thf(zf_stmt_180,type,
zip_tseitin_10: $o ).
thf(zf_stmt_181,axiom,
( ( ( ( op @ e4 @ e3 )
= e4 )
| ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e2 @ e3 )
= e4 )
| ( ( op @ e1 @ e3 )
= e4 )
| ( ( op @ e0 @ e3 )
= e4 ) )
=> zip_tseitin_10 ) ).
thf(zf_stmt_182,type,
zip_tseitin_9: $o ).
thf(zf_stmt_183,axiom,
( ( ( ( op @ e4 @ e4 )
= e0 )
| ( ( op @ e4 @ e3 )
= e0 )
| ( ( op @ e4 @ e2 )
= e0 )
| ( ( op @ e4 @ e1 )
= e0 )
| ( ( op @ e4 @ e0 )
= e0 ) )
=> zip_tseitin_9 ) ).
thf(zf_stmt_184,type,
zip_tseitin_8: $o ).
thf(zf_stmt_185,axiom,
( ( ( ( op @ e4 @ e4 )
= e0 )
| ( ( op @ e3 @ e4 )
= e0 )
| ( ( op @ e2 @ e4 )
= e0 )
| ( ( op @ e1 @ e4 )
= e0 )
| ( ( op @ e0 @ e4 )
= e0 ) )
=> zip_tseitin_8 ) ).
thf(zf_stmt_186,type,
zip_tseitin_7: $o ).
thf(zf_stmt_187,axiom,
( ( ( ( op @ e4 @ e4 )
= e1 )
| ( ( op @ e4 @ e3 )
= e1 )
| ( ( op @ e4 @ e2 )
= e1 )
| ( ( op @ e4 @ e1 )
= e1 )
| ( ( op @ e4 @ e0 )
= e1 ) )
=> zip_tseitin_7 ) ).
thf(zf_stmt_188,type,
zip_tseitin_6: $o ).
thf(zf_stmt_189,axiom,
( ( ( ( op @ e4 @ e4 )
= e1 )
| ( ( op @ e3 @ e4 )
= e1 )
| ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e0 @ e4 )
= e1 ) )
=> zip_tseitin_6 ) ).
thf(zf_stmt_190,type,
zip_tseitin_5: $o ).
thf(zf_stmt_191,axiom,
( ( ( ( op @ e4 @ e4 )
= e2 )
| ( ( op @ e4 @ e3 )
= e2 )
| ( ( op @ e4 @ e2 )
= e2 )
| ( ( op @ e4 @ e1 )
= e2 )
| ( ( op @ e4 @ e0 )
= e2 ) )
=> zip_tseitin_5 ) ).
thf(zf_stmt_192,type,
zip_tseitin_4: $o ).
thf(zf_stmt_193,axiom,
( ( ( ( op @ e4 @ e4 )
= e2 )
| ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e2 @ e4 )
= e2 )
| ( ( op @ e1 @ e4 )
= e2 )
| ( ( op @ e0 @ e4 )
= e2 ) )
=> zip_tseitin_4 ) ).
thf(zf_stmt_194,type,
zip_tseitin_3: $o ).
thf(zf_stmt_195,axiom,
( ( ( ( op @ e4 @ e4 )
= e3 )
| ( ( op @ e4 @ e3 )
= e3 )
| ( ( op @ e4 @ e2 )
= e3 )
| ( ( op @ e4 @ e1 )
= e3 )
| ( ( op @ e4 @ e0 )
= e3 ) )
=> zip_tseitin_3 ) ).
thf(zf_stmt_196,type,
zip_tseitin_2: $o ).
thf(zf_stmt_197,axiom,
( ( ( ( op @ e4 @ e4 )
= e3 )
| ( ( op @ e3 @ e4 )
= e3 )
| ( ( op @ e2 @ e4 )
= e3 )
| ( ( op @ e1 @ e4 )
= e3 )
| ( ( op @ e0 @ e4 )
= e3 ) )
=> zip_tseitin_2 ) ).
thf(zf_stmt_198,type,
zip_tseitin_1: $o ).
thf(zf_stmt_199,axiom,
( ( ( ( op @ e4 @ e4 )
= e4 )
| ( ( op @ e4 @ e3 )
= e4 )
| ( ( op @ e4 @ e2 )
= e4 )
| ( ( op @ e4 @ e1 )
= e4 )
| ( ( op @ e4 @ e0 )
= e4 ) )
=> zip_tseitin_1 ) ).
thf(zf_stmt_200,type,
zip_tseitin_0: $o ).
thf(zf_stmt_201,axiom,
( ( ( ( op @ e4 @ e4 )
= e4 )
| ( ( op @ e3 @ e4 )
= e4 )
| ( ( op @ e2 @ e4 )
= e4 )
| ( ( op @ e1 @ e4 )
= e4 )
| ( ( op @ e0 @ e4 )
= e4 ) )
=> zip_tseitin_0 ) ).
thf(zf_stmt_202,conjecture,
( 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
& 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
& ( ( op @ unit @ e0 )
= e0 )
& ( ( op @ e0 @ unit )
= e0 )
& ( ( op @ unit @ e1 )
= e1 )
& ( ( op @ e1 @ unit )
= e1 )
& ( ( op @ unit @ e2 )
= e2 )
& ( ( op @ e2 @ unit )
= e2 )
& ( ( op @ unit @ e3 )
= e3 )
& ( ( op @ e3 @ unit )
= e3 )
& ( ( op @ unit @ e4 )
= e4 )
& ( ( op @ e4 @ unit )
= e4 )
& 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(zf_stmt_203,negated_conjecture,
~ ( 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
& 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
& ( ( op @ unit @ e0 )
= e0 )
& ( ( op @ e0 @ unit )
= e0 )
& ( ( op @ unit @ e1 )
= e1 )
& ( ( op @ e1 @ unit )
= e1 )
& ( ( op @ unit @ e2 )
= e2 )
& ( ( op @ e2 @ unit )
= e2 )
& ( ( op @ unit @ e3 )
= e3 )
& ( ( op @ e3 @ unit )
= e3 )
& ( ( op @ unit @ e4 )
= e4 )
& ( ( op @ e4 @ unit )
= e4 )
& zip_tseitin_50
& zip_tseitin_49
& zip_tseitin_48
& zip_tseitin_47
& zip_tseitin_46
& zip_tseitin_45
& zip_tseitin_44
& zip_tseitin_43
& zip_tseitin_42
& zip_tseitin_41
& zip_tseitin_40
& zip_tseitin_39
& zip_tseitin_38
& zip_tseitin_37
& zip_tseitin_36
& zip_tseitin_35
& zip_tseitin_34
& zip_tseitin_33
& zip_tseitin_32
& zip_tseitin_31
& zip_tseitin_30
& zip_tseitin_29
& zip_tseitin_28
& zip_tseitin_27
& zip_tseitin_26
& zip_tseitin_25
& zip_tseitin_24
& zip_tseitin_23
& zip_tseitin_22
& zip_tseitin_21
& zip_tseitin_20
& zip_tseitin_19
& zip_tseitin_18
& zip_tseitin_17
& zip_tseitin_16
& zip_tseitin_15
& zip_tseitin_14
& zip_tseitin_13
& zip_tseitin_12
& zip_tseitin_11
& zip_tseitin_10
& zip_tseitin_9
& zip_tseitin_8
& zip_tseitin_7
& zip_tseitin_6
& zip_tseitin_5
& zip_tseitin_4
& zip_tseitin_3
& zip_tseitin_2
& zip_tseitin_1
& zip_tseitin_0 ),
inference('cnf.neg',[status(esa)],[zf_stmt_202]) ).
thf(zip_derived_cl466,plain,
( ~ 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
| ~ 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
| ( ( op @ unit @ e0 )
!= e0 )
| ( ( op @ e0 @ unit )
!= e0 )
| ( ( op @ unit @ e1 )
!= e1 )
| ( ( op @ e1 @ unit )
!= e1 )
| ( ( op @ unit @ e2 )
!= e2 )
| ( ( op @ e2 @ unit )
!= e2 )
| ( ( op @ unit @ e3 )
!= e3 )
| ( ( op @ e3 @ unit )
!= e3 )
| ( ( op @ unit @ e4 )
!= e4 )
| ( ( op @ e4 @ unit )
!= e4 )
| ~ zip_tseitin_50
| ~ zip_tseitin_49
| ~ zip_tseitin_48
| ~ zip_tseitin_47
| ~ zip_tseitin_46
| ~ zip_tseitin_45
| ~ zip_tseitin_44
| ~ zip_tseitin_43
| ~ zip_tseitin_42
| ~ zip_tseitin_41
| ~ zip_tseitin_40
| ~ zip_tseitin_39
| ~ zip_tseitin_38
| ~ zip_tseitin_37
| ~ zip_tseitin_36
| ~ zip_tseitin_35
| ~ zip_tseitin_34
| ~ zip_tseitin_33
| ~ zip_tseitin_32
| ~ zip_tseitin_31
| ~ zip_tseitin_30
| ~ zip_tseitin_29
| ~ zip_tseitin_28
| ~ zip_tseitin_27
| ~ zip_tseitin_26
| ~ zip_tseitin_25
| ~ zip_tseitin_24
| ~ zip_tseitin_23
| ~ zip_tseitin_22
| ~ zip_tseitin_21
| ~ zip_tseitin_20
| ~ zip_tseitin_19
| ~ zip_tseitin_18
| ~ zip_tseitin_17
| ~ zip_tseitin_16
| ~ zip_tseitin_15
| ~ zip_tseitin_14
| ~ zip_tseitin_13
| ~ zip_tseitin_12
| ~ zip_tseitin_11
| ~ zip_tseitin_10
| ~ zip_tseitin_9
| ~ zip_tseitin_8
| ~ zip_tseitin_7
| ~ zip_tseitin_6
| ~ zip_tseitin_5
| ~ zip_tseitin_4
| ~ zip_tseitin_3
| ~ zip_tseitin_2
| ~ zip_tseitin_1
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_203]) ).
thf(zip_derived_cl464,plain,
( zip_tseitin_100
| ( ( op @ e0 @ e0 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(ax2,axiom,
( ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e4 @ e3 )
= e2 )
& ( ( op @ e4 @ e2 )
= e1 )
& ( ( op @ e4 @ e1 )
= e3 )
& ( ( op @ e4 @ e0 )
= e4 )
& ( ( op @ e3 @ e4 )
= e1 )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e2 )
= e4 )
& ( ( op @ e3 @ e1 )
= e2 )
& ( ( op @ e3 @ e0 )
= e3 )
& ( ( op @ e2 @ e4 )
= e3 )
& ( ( op @ e2 @ e3 )
= e1 )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e2 @ e1 )
= e4 )
& ( ( op @ e2 @ e0 )
= e2 )
& ( ( op @ e1 @ e4 )
= e2 )
& ( ( op @ e1 @ e3 )
= e4 )
& ( ( op @ e1 @ e2 )
= e3 )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e1 @ e0 )
= e1 )
& ( ( op @ e0 @ e4 )
= e4 )
& ( ( op @ e0 @ e3 )
= e3 )
& ( ( op @ e0 @ e2 )
= e2 )
& ( ( op @ e0 @ e1 )
= e1 )
& ( ( op @ e0 @ e0 )
= e0 ) ) ).
thf(zip_derived_cl34,plain,
( ( op @ e0 @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1320,plain,
( zip_tseitin_100
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl464,zip_derived_cl34]) ).
thf(zip_derived_cl1321,plain,
zip_tseitin_100,
inference(simplify,[status(thm)],[zip_derived_cl1320]) ).
thf(zip_derived_cl463,plain,
( zip_tseitin_99
| ( ( op @ e0 @ e0 )
= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl34_001,plain,
( ( op @ e0 @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl573,plain,
( zip_tseitin_99
| ( e0 = e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl463,zip_derived_cl34]) ).
thf(ax1,axiom,
( ( e3 != e4 )
& ( e2 != e4 )
& ( e2 != e3 )
& ( e1 != e4 )
& ( e1 != e3 )
& ( e1 != e2 )
& ( e0 != e4 )
& ( e0 != e3 )
& ( e0 != e2 )
& ( e0 != e1 ) ) ).
thf(zip_derived_cl9,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl574,plain,
zip_tseitin_99,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl573,zip_derived_cl9]) ).
thf(zip_derived_cl461,plain,
( zip_tseitin_98
| ( ( op @ e0 @ e0 )
= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl34_002,plain,
( ( op @ e0 @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl571,plain,
( zip_tseitin_98
| ( e0 = e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl461,zip_derived_cl34]) ).
thf(zip_derived_cl8,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl572,plain,
zip_tseitin_98,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl571,zip_derived_cl8]) ).
thf(zip_derived_cl459,plain,
( zip_tseitin_97
| ( ( op @ e0 @ e0 )
= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl34_003,plain,
( ( op @ e0 @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl569,plain,
( zip_tseitin_97
| ( e0 = e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl459,zip_derived_cl34]) ).
thf(zip_derived_cl7,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl570,plain,
zip_tseitin_97,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl569,zip_derived_cl7]) ).
thf(zip_derived_cl457,plain,
( zip_tseitin_96
| ( ( op @ e0 @ e0 )
= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl34_004,plain,
( ( op @ e0 @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl567,plain,
( zip_tseitin_96
| ( e0 = e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl457,zip_derived_cl34]) ).
thf(zip_derived_cl6,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl568,plain,
zip_tseitin_96,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl567,zip_derived_cl6]) ).
thf(zip_derived_cl454,plain,
( zip_tseitin_95
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl29,plain,
( ( op @ e1 @ e0 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1310,plain,
( zip_tseitin_95
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl454,zip_derived_cl29]) ).
thf(zip_derived_cl1311,plain,
zip_tseitin_95,
inference(simplify,[status(thm)],[zip_derived_cl1310]) ).
thf(zip_derived_cl453,plain,
( zip_tseitin_94
| ( ( op @ e1 @ e1 )
= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl28,plain,
( ( op @ e1 @ e1 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl554,plain,
( zip_tseitin_94
| ( e0 = e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl453,zip_derived_cl28]) ).
thf(zip_derived_cl9_005,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl555,plain,
zip_tseitin_94,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl554,zip_derived_cl9]) ).
thf(zip_derived_cl451,plain,
( zip_tseitin_93
| ( ( op @ e1 @ e1 )
= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl28_006,plain,
( ( op @ e1 @ e1 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl552,plain,
( zip_tseitin_93
| ( e0 = e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl451,zip_derived_cl28]) ).
thf(zip_derived_cl8_007,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl553,plain,
zip_tseitin_93,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl552,zip_derived_cl8]) ).
thf(zip_derived_cl449,plain,
( zip_tseitin_92
| ( ( op @ e1 @ e1 )
= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl28_008,plain,
( ( op @ e1 @ e1 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl550,plain,
( zip_tseitin_92
| ( e0 = e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl449,zip_derived_cl28]) ).
thf(zip_derived_cl7_009,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl551,plain,
zip_tseitin_92,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl550,zip_derived_cl7]) ).
thf(zip_derived_cl447,plain,
( zip_tseitin_91
| ( ( op @ e1 @ e1 )
= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf(zip_derived_cl28_010,plain,
( ( op @ e1 @ e1 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl548,plain,
( zip_tseitin_91
| ( e0 = e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl447,zip_derived_cl28]) ).
thf(zip_derived_cl6_011,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl549,plain,
zip_tseitin_91,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl548,zip_derived_cl6]) ).
thf(zip_derived_cl444,plain,
( zip_tseitin_90
| ( ( op @ e2 @ e0 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf(zip_derived_cl24,plain,
( ( op @ e2 @ e0 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1300,plain,
( zip_tseitin_90
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl444,zip_derived_cl24]) ).
thf(zip_derived_cl1301,plain,
zip_tseitin_90,
inference(simplify,[status(thm)],[zip_derived_cl1300]) ).
thf(zip_derived_cl443,plain,
( zip_tseitin_89
| ( ( op @ e2 @ e2 )
= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf(zip_derived_cl22,plain,
( ( op @ e2 @ e2 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl537,plain,
( zip_tseitin_89
| ( e0 = e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl443,zip_derived_cl22]) ).
thf(zip_derived_cl9_012,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl538,plain,
zip_tseitin_89,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl537,zip_derived_cl9]) ).
thf(zip_derived_cl441,plain,
( zip_tseitin_88
| ( ( op @ e2 @ e2 )
= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf(zip_derived_cl22_013,plain,
( ( op @ e2 @ e2 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl533,plain,
( zip_tseitin_88
| ( e0 = e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl22]) ).
thf(zip_derived_cl8_014,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl534,plain,
zip_tseitin_88,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl533,zip_derived_cl8]) ).
thf(zip_derived_cl439,plain,
( zip_tseitin_87
| ( ( op @ e2 @ e2 )
= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl22_015,plain,
( ( op @ e2 @ e2 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl531,plain,
( zip_tseitin_87
| ( e0 = e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl439,zip_derived_cl22]) ).
thf(zip_derived_cl7_016,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl532,plain,
zip_tseitin_87,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl531,zip_derived_cl7]) ).
thf(zip_derived_cl437,plain,
( zip_tseitin_86
| ( ( op @ e2 @ e2 )
= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf(zip_derived_cl22_017,plain,
( ( op @ e2 @ e2 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl529,plain,
( zip_tseitin_86
| ( e0 = e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl437,zip_derived_cl22]) ).
thf(zip_derived_cl6_018,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl530,plain,
zip_tseitin_86,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl529,zip_derived_cl6]) ).
thf(zip_derived_cl434,plain,
( zip_tseitin_85
| ( ( op @ e3 @ e0 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl19,plain,
( ( op @ e3 @ e0 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1290,plain,
( zip_tseitin_85
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl434,zip_derived_cl19]) ).
thf(zip_derived_cl1291,plain,
zip_tseitin_85,
inference(simplify,[status(thm)],[zip_derived_cl1290]) ).
thf(zip_derived_cl433,plain,
( zip_tseitin_84
| ( ( op @ e3 @ e3 )
= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf(zip_derived_cl16,plain,
( ( op @ e3 @ e3 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl526,plain,
( zip_tseitin_84
| ( e0 = e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl16]) ).
thf(zip_derived_cl9_019,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl527,plain,
zip_tseitin_84,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl526,zip_derived_cl9]) ).
thf(zip_derived_cl431,plain,
( zip_tseitin_83
| ( ( op @ e3 @ e3 )
= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_35]) ).
thf(zip_derived_cl16_020,plain,
( ( op @ e3 @ e3 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl516,plain,
( zip_tseitin_83
| ( e0 = e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl431,zip_derived_cl16]) ).
thf(zip_derived_cl8_021,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl517,plain,
zip_tseitin_83,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl516,zip_derived_cl8]) ).
thf(zip_derived_cl429,plain,
( zip_tseitin_82
| ( ( op @ e3 @ e3 )
= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_37]) ).
thf(zip_derived_cl16_022,plain,
( ( op @ e3 @ e3 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl512,plain,
( zip_tseitin_82
| ( e0 = e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl16]) ).
thf(zip_derived_cl7_023,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl513,plain,
zip_tseitin_82,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl512,zip_derived_cl7]) ).
thf(zip_derived_cl427,plain,
( zip_tseitin_81
| ( ( op @ e3 @ e3 )
= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_39]) ).
thf(zip_derived_cl16_024,plain,
( ( op @ e3 @ e3 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl510,plain,
( zip_tseitin_81
| ( e0 = e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl427,zip_derived_cl16]) ).
thf(zip_derived_cl6_025,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl511,plain,
zip_tseitin_81,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl510,zip_derived_cl6]) ).
thf(zip_derived_cl424,plain,
( zip_tseitin_80
| ( ( op @ e4 @ e0 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl14,plain,
( ( op @ e4 @ e0 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1280,plain,
( zip_tseitin_80
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl424,zip_derived_cl14]) ).
thf(zip_derived_cl1281,plain,
zip_tseitin_80,
inference(simplify,[status(thm)],[zip_derived_cl1280]) ).
thf(zip_derived_cl423,plain,
( zip_tseitin_79
| ( ( op @ e4 @ e4 )
= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_43]) ).
thf(zip_derived_cl10,plain,
( ( op @ e4 @ e4 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl507,plain,
( zip_tseitin_79
| ( e0 = e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl10]) ).
thf(zip_derived_cl9_026,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl508,plain,
zip_tseitin_79,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl507,zip_derived_cl9]) ).
thf(zip_derived_cl421,plain,
( zip_tseitin_78
| ( ( op @ e4 @ e4 )
= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_45]) ).
thf(zip_derived_cl10_027,plain,
( ( op @ e4 @ e4 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl505,plain,
( zip_tseitin_78
| ( e0 = e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl421,zip_derived_cl10]) ).
thf(zip_derived_cl8_028,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl506,plain,
zip_tseitin_78,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl505,zip_derived_cl8]) ).
thf(zip_derived_cl419,plain,
( zip_tseitin_77
| ( ( op @ e4 @ e4 )
= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_47]) ).
thf(zip_derived_cl10_029,plain,
( ( op @ e4 @ e4 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl495,plain,
( zip_tseitin_77
| ( e0 = e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl419,zip_derived_cl10]) ).
thf(zip_derived_cl7_030,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl496,plain,
zip_tseitin_77,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl495,zip_derived_cl7]) ).
thf(zip_derived_cl417,plain,
( zip_tseitin_76
| ( ( op @ e4 @ e4 )
= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_49]) ).
thf(zip_derived_cl10_031,plain,
( ( op @ e4 @ e4 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl491,plain,
( zip_tseitin_76
| ( e0 = e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl417,zip_derived_cl10]) ).
thf(zip_derived_cl6_032,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl492,plain,
zip_tseitin_76,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl491,zip_derived_cl6]) ).
thf(zip_derived_cl415,plain,
( zip_tseitin_75
| ( ( op @ e0 @ e0 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_51]) ).
thf(zip_derived_cl34_033,plain,
( ( op @ e0 @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1270,plain,
( zip_tseitin_75
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl415,zip_derived_cl34]) ).
thf(zip_derived_cl1271,plain,
zip_tseitin_75,
inference(simplify,[status(thm)],[zip_derived_cl1270]) ).
thf(zip_derived_cl409,plain,
( zip_tseitin_74
| ( ( op @ e0 @ e1 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf(zip_derived_cl33,plain,
( ( op @ e0 @ e1 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1258,plain,
( zip_tseitin_74
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl409,zip_derived_cl33]) ).
thf(zip_derived_cl1259,plain,
zip_tseitin_74,
inference(simplify,[status(thm)],[zip_derived_cl1258]) ).
thf(zip_derived_cl403,plain,
( zip_tseitin_73
| ( ( op @ e0 @ e2 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_55]) ).
thf(zip_derived_cl32,plain,
( ( op @ e0 @ e2 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1246,plain,
( zip_tseitin_73
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl403,zip_derived_cl32]) ).
thf(zip_derived_cl1247,plain,
zip_tseitin_73,
inference(simplify,[status(thm)],[zip_derived_cl1246]) ).
thf(zip_derived_cl397,plain,
( zip_tseitin_72
| ( ( op @ e0 @ e3 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf(zip_derived_cl31,plain,
( ( op @ e0 @ e3 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1234,plain,
( zip_tseitin_72
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl397,zip_derived_cl31]) ).
thf(zip_derived_cl1235,plain,
zip_tseitin_72,
inference(simplify,[status(thm)],[zip_derived_cl1234]) ).
thf(zip_derived_cl391,plain,
( zip_tseitin_71
| ( ( op @ e0 @ e4 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_59]) ).
thf(zip_derived_cl30,plain,
( ( op @ e0 @ e4 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1222,plain,
( zip_tseitin_71
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl391,zip_derived_cl30]) ).
thf(zip_derived_cl1223,plain,
zip_tseitin_71,
inference(simplify,[status(thm)],[zip_derived_cl1222]) ).
thf(zip_derived_cl389,plain,
( zip_tseitin_70
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_61]) ).
thf(zip_derived_cl29_034,plain,
( ( op @ e1 @ e0 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1218,plain,
( zip_tseitin_70
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl389,zip_derived_cl29]) ).
thf(zip_derived_cl1219,plain,
zip_tseitin_70,
inference(simplify,[status(thm)],[zip_derived_cl1218]) ).
thf(zip_derived_cl385,plain,
( zip_tseitin_69
| ( ( op @ e1 @ e1 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_63]) ).
thf(zip_derived_cl28_035,plain,
( ( op @ e1 @ e1 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1210,plain,
( zip_tseitin_69
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl385,zip_derived_cl28]) ).
thf(zip_derived_cl1211,plain,
zip_tseitin_69,
inference(simplify,[status(thm)],[zip_derived_cl1210]) ).
thf(zip_derived_cl377,plain,
( zip_tseitin_68
| ( ( op @ e1 @ e2 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_65]) ).
thf(zip_derived_cl27,plain,
( ( op @ e1 @ e2 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1194,plain,
( zip_tseitin_68
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl377,zip_derived_cl27]) ).
thf(zip_derived_cl1195,plain,
zip_tseitin_68,
inference(simplify,[status(thm)],[zip_derived_cl1194]) ).
thf(zip_derived_cl371,plain,
( zip_tseitin_67
| ( ( op @ e1 @ e3 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_67]) ).
thf(zip_derived_cl26,plain,
( ( op @ e1 @ e3 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1182,plain,
( zip_tseitin_67
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl371,zip_derived_cl26]) ).
thf(zip_derived_cl1183,plain,
zip_tseitin_67,
inference(simplify,[status(thm)],[zip_derived_cl1182]) ).
thf(zip_derived_cl368,plain,
( zip_tseitin_66
| ( ( op @ e1 @ e4 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_69]) ).
thf(zip_derived_cl25,plain,
( ( op @ e1 @ e4 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1176,plain,
( zip_tseitin_66
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl368,zip_derived_cl25]) ).
thf(zip_derived_cl1177,plain,
zip_tseitin_66,
inference(simplify,[status(thm)],[zip_derived_cl1176]) ).
thf(zip_derived_cl363,plain,
( zip_tseitin_65
| ( ( op @ e2 @ e0 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_71]) ).
thf(zip_derived_cl24_036,plain,
( ( op @ e2 @ e0 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1166,plain,
( zip_tseitin_65
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl363,zip_derived_cl24]) ).
thf(zip_derived_cl1167,plain,
zip_tseitin_65,
inference(simplify,[status(thm)],[zip_derived_cl1166]) ).
thf(zip_derived_cl356,plain,
( zip_tseitin_64
| ( ( op @ e2 @ e1 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_73]) ).
thf(zip_derived_cl23,plain,
( ( op @ e2 @ e1 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1152,plain,
( zip_tseitin_64
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl356,zip_derived_cl23]) ).
thf(zip_derived_cl1153,plain,
zip_tseitin_64,
inference(simplify,[status(thm)],[zip_derived_cl1152]) ).
thf(zip_derived_cl355,plain,
( zip_tseitin_63
| ( ( op @ e2 @ e2 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_75]) ).
thf(zip_derived_cl22_037,plain,
( ( op @ e2 @ e2 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1150,plain,
( zip_tseitin_63
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl355,zip_derived_cl22]) ).
thf(zip_derived_cl1151,plain,
zip_tseitin_63,
inference(simplify,[status(thm)],[zip_derived_cl1150]) ).
thf(zip_derived_cl349,plain,
( zip_tseitin_62
| ( ( op @ e2 @ e3 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_77]) ).
thf(zip_derived_cl21,plain,
( ( op @ e2 @ e3 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1138,plain,
( zip_tseitin_62
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl349,zip_derived_cl21]) ).
thf(zip_derived_cl1139,plain,
zip_tseitin_62,
inference(simplify,[status(thm)],[zip_derived_cl1138]) ).
thf(zip_derived_cl342,plain,
( zip_tseitin_61
| ( ( op @ e2 @ e4 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_79]) ).
thf(zip_derived_cl20,plain,
( ( op @ e2 @ e4 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1124,plain,
( zip_tseitin_61
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl342,zip_derived_cl20]) ).
thf(zip_derived_cl1125,plain,
zip_tseitin_61,
inference(simplify,[status(thm)],[zip_derived_cl1124]) ).
thf(zip_derived_cl337,plain,
( zip_tseitin_60
| ( ( op @ e3 @ e0 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_81]) ).
thf(zip_derived_cl19_038,plain,
( ( op @ e3 @ e0 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1114,plain,
( zip_tseitin_60
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl337,zip_derived_cl19]) ).
thf(zip_derived_cl1115,plain,
zip_tseitin_60,
inference(simplify,[status(thm)],[zip_derived_cl1114]) ).
thf(zip_derived_cl333,plain,
( zip_tseitin_59
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_83]) ).
thf(zip_derived_cl18,plain,
( ( op @ e3 @ e1 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1106,plain,
( zip_tseitin_59
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl333,zip_derived_cl18]) ).
thf(zip_derived_cl1107,plain,
zip_tseitin_59,
inference(simplify,[status(thm)],[zip_derived_cl1106]) ).
thf(zip_derived_cl326,plain,
( zip_tseitin_58
| ( ( op @ e3 @ e2 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_85]) ).
thf(zip_derived_cl17,plain,
( ( op @ e3 @ e2 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1092,plain,
( zip_tseitin_58
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl326,zip_derived_cl17]) ).
thf(zip_derived_cl1093,plain,
zip_tseitin_58,
inference(simplify,[status(thm)],[zip_derived_cl1092]) ).
thf(zip_derived_cl325,plain,
( zip_tseitin_57
| ( ( op @ e3 @ e3 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_87]) ).
thf(zip_derived_cl16_039,plain,
( ( op @ e3 @ e3 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1090,plain,
( zip_tseitin_57
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl325,zip_derived_cl16]) ).
thf(zip_derived_cl1091,plain,
zip_tseitin_57,
inference(simplify,[status(thm)],[zip_derived_cl1090]) ).
thf(zip_derived_cl319,plain,
( zip_tseitin_56
| ( ( op @ e3 @ e4 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_89]) ).
thf(zip_derived_cl15,plain,
( ( op @ e3 @ e4 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1078,plain,
( zip_tseitin_56
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl319,zip_derived_cl15]) ).
thf(zip_derived_cl1079,plain,
zip_tseitin_56,
inference(simplify,[status(thm)],[zip_derived_cl1078]) ).
thf(zip_derived_cl311,plain,
( zip_tseitin_55
| ( ( op @ e4 @ e0 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_91]) ).
thf(zip_derived_cl14_040,plain,
( ( op @ e4 @ e0 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1062,plain,
( zip_tseitin_55
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl311,zip_derived_cl14]) ).
thf(zip_derived_cl1063,plain,
zip_tseitin_55,
inference(simplify,[status(thm)],[zip_derived_cl1062]) ).
thf(zip_derived_cl307,plain,
( zip_tseitin_54
| ( ( op @ e4 @ e1 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_93]) ).
thf(zip_derived_cl13,plain,
( ( op @ e4 @ e1 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1054,plain,
( zip_tseitin_54
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl13]) ).
thf(zip_derived_cl1055,plain,
zip_tseitin_54,
inference(simplify,[status(thm)],[zip_derived_cl1054]) ).
thf(zip_derived_cl304,plain,
( zip_tseitin_53
| ( ( op @ e4 @ e2 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_95]) ).
thf(zip_derived_cl12,plain,
( ( op @ e4 @ e2 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1048,plain,
( zip_tseitin_53
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl304,zip_derived_cl12]) ).
thf(zip_derived_cl1049,plain,
zip_tseitin_53,
inference(simplify,[status(thm)],[zip_derived_cl1048]) ).
thf(zip_derived_cl298,plain,
( zip_tseitin_52
| ( ( op @ e4 @ e3 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_97]) ).
thf(zip_derived_cl11,plain,
( ( op @ e4 @ e3 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1036,plain,
( zip_tseitin_52
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl298,zip_derived_cl11]) ).
thf(zip_derived_cl1037,plain,
zip_tseitin_52,
inference(simplify,[status(thm)],[zip_derived_cl1036]) ).
thf(zip_derived_cl295,plain,
( zip_tseitin_51
| ( ( op @ e4 @ e4 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_99]) ).
thf(zip_derived_cl10_041,plain,
( ( op @ e4 @ e4 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1030,plain,
( zip_tseitin_51
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl295,zip_derived_cl10]) ).
thf(zip_derived_cl1031,plain,
zip_tseitin_51,
inference(simplify,[status(thm)],[zip_derived_cl1030]) ).
thf(ax3,axiom,
unit = e0 ).
thf(zip_derived_cl35,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl34_042,plain,
( ( op @ e0 @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_043,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl34_044,plain,
( ( op @ e0 @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_045,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl33_046,plain,
( ( op @ e0 @ e1 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_047,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl29_048,plain,
( ( op @ e1 @ e0 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_049,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl32_050,plain,
( ( op @ e0 @ e2 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_051,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl24_052,plain,
( ( op @ e2 @ e0 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_053,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl31_054,plain,
( ( op @ e0 @ e3 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_055,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl19_056,plain,
( ( op @ e3 @ e0 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_057,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl30_058,plain,
( ( op @ e0 @ e4 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_059,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl14_060,plain,
( ( op @ e4 @ e0 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl290,plain,
( zip_tseitin_50
| ( unit != e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_101]) ).
thf(zip_derived_cl35_061,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl475,plain,
( zip_tseitin_50
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl35]) ).
thf(zip_derived_cl476,plain,
zip_tseitin_50,
inference(simplify,[status(thm)],[zip_derived_cl475]) ).
thf(zip_derived_cl285,plain,
( zip_tseitin_49
| ( ( op @ e0 @ e0 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_103]) ).
thf(zip_derived_cl34_062,plain,
( ( op @ e0 @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1020,plain,
( zip_tseitin_49
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl34]) ).
thf(zip_derived_cl1021,plain,
zip_tseitin_49,
inference(simplify,[status(thm)],[zip_derived_cl1020]) ).
thf(zip_derived_cl280,plain,
( zip_tseitin_48
| ( ( op @ e0 @ e0 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_105]) ).
thf(zip_derived_cl34_063,plain,
( ( op @ e0 @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1010,plain,
( zip_tseitin_48
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl280,zip_derived_cl34]) ).
thf(zip_derived_cl1011,plain,
zip_tseitin_48,
inference(simplify,[status(thm)],[zip_derived_cl1010]) ).
thf(zip_derived_cl274,plain,
( zip_tseitin_47
| ( ( op @ e0 @ e1 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_107]) ).
thf(zip_derived_cl33_064,plain,
( ( op @ e0 @ e1 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl998,plain,
( zip_tseitin_47
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl33]) ).
thf(zip_derived_cl999,plain,
zip_tseitin_47,
inference(simplify,[status(thm)],[zip_derived_cl998]) ).
thf(zip_derived_cl269,plain,
( zip_tseitin_46
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_109]) ).
thf(zip_derived_cl29_065,plain,
( ( op @ e1 @ e0 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl988,plain,
( zip_tseitin_46
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl269,zip_derived_cl29]) ).
thf(zip_derived_cl989,plain,
zip_tseitin_46,
inference(simplify,[status(thm)],[zip_derived_cl988]) ).
thf(zip_derived_cl263,plain,
( zip_tseitin_45
| ( ( op @ e0 @ e2 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_111]) ).
thf(zip_derived_cl32_066,plain,
( ( op @ e0 @ e2 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl976,plain,
( zip_tseitin_45
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl263,zip_derived_cl32]) ).
thf(zip_derived_cl977,plain,
zip_tseitin_45,
inference(simplify,[status(thm)],[zip_derived_cl976]) ).
thf(zip_derived_cl258,plain,
( zip_tseitin_44
| ( ( op @ e2 @ e0 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_113]) ).
thf(zip_derived_cl24_067,plain,
( ( op @ e2 @ e0 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl966,plain,
( zip_tseitin_44
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl258,zip_derived_cl24]) ).
thf(zip_derived_cl967,plain,
zip_tseitin_44,
inference(simplify,[status(thm)],[zip_derived_cl966]) ).
thf(zip_derived_cl252,plain,
( zip_tseitin_43
| ( ( op @ e0 @ e3 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_115]) ).
thf(zip_derived_cl31_068,plain,
( ( op @ e0 @ e3 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl954,plain,
( zip_tseitin_43
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl252,zip_derived_cl31]) ).
thf(zip_derived_cl955,plain,
zip_tseitin_43,
inference(simplify,[status(thm)],[zip_derived_cl954]) ).
thf(zip_derived_cl247,plain,
( zip_tseitin_42
| ( ( op @ e3 @ e0 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_117]) ).
thf(zip_derived_cl19_069,plain,
( ( op @ e3 @ e0 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl944,plain,
( zip_tseitin_42
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl247,zip_derived_cl19]) ).
thf(zip_derived_cl945,plain,
zip_tseitin_42,
inference(simplify,[status(thm)],[zip_derived_cl944]) ).
thf(zip_derived_cl241,plain,
( zip_tseitin_41
| ( ( op @ e0 @ e4 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_119]) ).
thf(zip_derived_cl30_070,plain,
( ( op @ e0 @ e4 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl932,plain,
( zip_tseitin_41
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl241,zip_derived_cl30]) ).
thf(zip_derived_cl933,plain,
zip_tseitin_41,
inference(simplify,[status(thm)],[zip_derived_cl932]) ).
thf(zip_derived_cl236,plain,
( zip_tseitin_40
| ( ( op @ e4 @ e0 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_121]) ).
thf(zip_derived_cl14_071,plain,
( ( op @ e4 @ e0 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl922,plain,
( zip_tseitin_40
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl236,zip_derived_cl14]) ).
thf(zip_derived_cl923,plain,
zip_tseitin_40,
inference(simplify,[status(thm)],[zip_derived_cl922]) ).
thf(zip_derived_cl234,plain,
( zip_tseitin_39
| ( ( op @ e1 @ e1 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_123]) ).
thf(zip_derived_cl28_072,plain,
( ( op @ e1 @ e1 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl918,plain,
( zip_tseitin_39
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl234,zip_derived_cl28]) ).
thf(zip_derived_cl919,plain,
zip_tseitin_39,
inference(simplify,[status(thm)],[zip_derived_cl918]) ).
thf(zip_derived_cl229,plain,
( zip_tseitin_38
| ( ( op @ e1 @ e1 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_125]) ).
thf(zip_derived_cl28_073,plain,
( ( op @ e1 @ e1 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl908,plain,
( zip_tseitin_38
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl229,zip_derived_cl28]) ).
thf(zip_derived_cl909,plain,
zip_tseitin_38,
inference(simplify,[status(thm)],[zip_derived_cl908]) ).
thf(zip_derived_cl225,plain,
( zip_tseitin_37
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_127]) ).
thf(zip_derived_cl29_074,plain,
( ( op @ e1 @ e0 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl900,plain,
( zip_tseitin_37
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl225,zip_derived_cl29]) ).
thf(zip_derived_cl901,plain,
zip_tseitin_37,
inference(simplify,[status(thm)],[zip_derived_cl900]) ).
thf(zip_derived_cl220,plain,
( zip_tseitin_36
| ( ( op @ e0 @ e1 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_129]) ).
thf(zip_derived_cl33_075,plain,
( ( op @ e0 @ e1 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl890,plain,
( zip_tseitin_36
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl33]) ).
thf(zip_derived_cl891,plain,
zip_tseitin_36,
inference(simplify,[status(thm)],[zip_derived_cl890]) ).
thf(zip_derived_cl211,plain,
( zip_tseitin_35
| ( ( op @ e1 @ e4 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_131]) ).
thf(zip_derived_cl25_076,plain,
( ( op @ e1 @ e4 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl872,plain,
( zip_tseitin_35
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl211,zip_derived_cl25]) ).
thf(zip_derived_cl873,plain,
zip_tseitin_35,
inference(simplify,[status(thm)],[zip_derived_cl872]) ).
thf(zip_derived_cl207,plain,
( zip_tseitin_34
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_133]) ).
thf(zip_derived_cl18_077,plain,
( ( op @ e3 @ e1 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl864,plain,
( zip_tseitin_34
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl18]) ).
thf(zip_derived_cl865,plain,
zip_tseitin_34,
inference(simplify,[status(thm)],[zip_derived_cl864]) ).
thf(zip_derived_cl203,plain,
( zip_tseitin_33
| ( ( op @ e1 @ e2 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_135]) ).
thf(zip_derived_cl27_078,plain,
( ( op @ e1 @ e2 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl856,plain,
( zip_tseitin_33
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl27]) ).
thf(zip_derived_cl857,plain,
zip_tseitin_33,
inference(simplify,[status(thm)],[zip_derived_cl856]) ).
thf(zip_derived_cl196,plain,
( zip_tseitin_32
| ( ( op @ e4 @ e1 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_137]) ).
thf(zip_derived_cl13_079,plain,
( ( op @ e4 @ e1 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl842,plain,
( zip_tseitin_32
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl13]) ).
thf(zip_derived_cl843,plain,
zip_tseitin_32,
inference(simplify,[status(thm)],[zip_derived_cl842]) ).
thf(zip_derived_cl192,plain,
( zip_tseitin_31
| ( ( op @ e1 @ e3 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_139]) ).
thf(zip_derived_cl26_080,plain,
( ( op @ e1 @ e3 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl834,plain,
( zip_tseitin_31
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl26]) ).
thf(zip_derived_cl835,plain,
zip_tseitin_31,
inference(simplify,[status(thm)],[zip_derived_cl834]) ).
thf(zip_derived_cl188,plain,
( zip_tseitin_30
| ( ( op @ e2 @ e1 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_141]) ).
thf(zip_derived_cl23_081,plain,
( ( op @ e2 @ e1 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl826,plain,
( zip_tseitin_30
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl23]) ).
thf(zip_derived_cl827,plain,
zip_tseitin_30,
inference(simplify,[status(thm)],[zip_derived_cl826]) ).
thf(zip_derived_cl183,plain,
( zip_tseitin_29
| ( ( op @ e2 @ e2 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_143]) ).
thf(zip_derived_cl22_082,plain,
( ( op @ e2 @ e2 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl816,plain,
( zip_tseitin_29
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl22]) ).
thf(zip_derived_cl817,plain,
zip_tseitin_29,
inference(simplify,[status(thm)],[zip_derived_cl816]) ).
thf(zip_derived_cl178,plain,
( zip_tseitin_28
| ( ( op @ e2 @ e2 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_145]) ).
thf(zip_derived_cl22_083,plain,
( ( op @ e2 @ e2 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl806,plain,
( zip_tseitin_28
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl22]) ).
thf(zip_derived_cl807,plain,
zip_tseitin_28,
inference(simplify,[status(thm)],[zip_derived_cl806]) ).
thf(zip_derived_cl172,plain,
( zip_tseitin_27
| ( ( op @ e2 @ e3 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_147]) ).
thf(zip_derived_cl21_084,plain,
( ( op @ e2 @ e3 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl794,plain,
( zip_tseitin_27
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl21]) ).
thf(zip_derived_cl795,plain,
zip_tseitin_27,
inference(simplify,[status(thm)],[zip_derived_cl794]) ).
thf(zip_derived_cl166,plain,
( zip_tseitin_26
| ( ( op @ e4 @ e2 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_149]) ).
thf(zip_derived_cl12_085,plain,
( ( op @ e4 @ e2 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl782,plain,
( zip_tseitin_26
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl12]) ).
thf(zip_derived_cl783,plain,
zip_tseitin_26,
inference(simplify,[status(thm)],[zip_derived_cl782]) ).
thf(zip_derived_cl165,plain,
( zip_tseitin_25
| ( ( op @ e2 @ e0 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_151]) ).
thf(zip_derived_cl24_086,plain,
( ( op @ e2 @ e0 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl780,plain,
( zip_tseitin_25
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl24]) ).
thf(zip_derived_cl781,plain,
zip_tseitin_25,
inference(simplify,[status(thm)],[zip_derived_cl780]) ).
thf(zip_derived_cl160,plain,
( zip_tseitin_24
| ( ( op @ e0 @ e2 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_153]) ).
thf(zip_derived_cl32_087,plain,
( ( op @ e0 @ e2 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl770,plain,
( zip_tseitin_24
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl32]) ).
thf(zip_derived_cl771,plain,
zip_tseitin_24,
inference(simplify,[status(thm)],[zip_derived_cl770]) ).
thf(zip_derived_cl151,plain,
( zip_tseitin_23
| ( ( op @ e2 @ e4 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_155]) ).
thf(zip_derived_cl20_088,plain,
( ( op @ e2 @ e4 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl752,plain,
( zip_tseitin_23
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl151,zip_derived_cl20]) ).
thf(zip_derived_cl753,plain,
zip_tseitin_23,
inference(simplify,[status(thm)],[zip_derived_cl752]) ).
thf(zip_derived_cl149,plain,
( zip_tseitin_22
| ( ( op @ e1 @ e2 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_157]) ).
thf(zip_derived_cl27_089,plain,
( ( op @ e1 @ e2 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl748,plain,
( zip_tseitin_22
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl27]) ).
thf(zip_derived_cl749,plain,
zip_tseitin_22,
inference(simplify,[status(thm)],[zip_derived_cl748]) ).
thf(zip_derived_cl144,plain,
( zip_tseitin_21
| ( ( op @ e2 @ e1 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_159]) ).
thf(zip_derived_cl23_090,plain,
( ( op @ e2 @ e1 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl738,plain,
( zip_tseitin_21
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl23]) ).
thf(zip_derived_cl739,plain,
zip_tseitin_21,
inference(simplify,[status(thm)],[zip_derived_cl738]) ).
thf(zip_derived_cl137,plain,
( zip_tseitin_20
| ( ( op @ e3 @ e2 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_161]) ).
thf(zip_derived_cl17_091,plain,
( ( op @ e3 @ e2 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl724,plain,
( zip_tseitin_20
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl17]) ).
thf(zip_derived_cl725,plain,
zip_tseitin_20,
inference(simplify,[status(thm)],[zip_derived_cl724]) ).
thf(zip_derived_cl132,plain,
( zip_tseitin_19
| ( ( op @ e3 @ e3 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_163]) ).
thf(zip_derived_cl16_092,plain,
( ( op @ e3 @ e3 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl714,plain,
( zip_tseitin_19
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl16]) ).
thf(zip_derived_cl715,plain,
zip_tseitin_19,
inference(simplify,[status(thm)],[zip_derived_cl714]) ).
thf(zip_derived_cl127,plain,
( zip_tseitin_18
| ( ( op @ e3 @ e3 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_165]) ).
thf(zip_derived_cl16_093,plain,
( ( op @ e3 @ e3 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl704,plain,
( zip_tseitin_18
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl16]) ).
thf(zip_derived_cl705,plain,
zip_tseitin_18,
inference(simplify,[status(thm)],[zip_derived_cl704]) ).
thf(zip_derived_cl121,plain,
( zip_tseitin_17
| ( ( op @ e3 @ e4 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_167]) ).
thf(zip_derived_cl15_094,plain,
( ( op @ e3 @ e4 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl692,plain,
( zip_tseitin_17
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl15]) ).
thf(zip_derived_cl693,plain,
zip_tseitin_17,
inference(simplify,[status(thm)],[zip_derived_cl692]) ).
thf(zip_derived_cl118,plain,
( zip_tseitin_16
| ( ( op @ e2 @ e3 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_169]) ).
thf(zip_derived_cl21_095,plain,
( ( op @ e2 @ e3 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl686,plain,
( zip_tseitin_16
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl21]) ).
thf(zip_derived_cl687,plain,
zip_tseitin_16,
inference(simplify,[status(thm)],[zip_derived_cl686]) ).
thf(zip_derived_cl114,plain,
( zip_tseitin_15
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_171]) ).
thf(zip_derived_cl18_096,plain,
( ( op @ e3 @ e1 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl678,plain,
( zip_tseitin_15
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl18]) ).
thf(zip_derived_cl679,plain,
zip_tseitin_15,
inference(simplify,[status(thm)],[zip_derived_cl678]) ).
thf(zip_derived_cl106,plain,
( zip_tseitin_14
| ( ( op @ e4 @ e3 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_173]) ).
thf(zip_derived_cl11_097,plain,
( ( op @ e4 @ e3 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl662,plain,
( zip_tseitin_14
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl11]) ).
thf(zip_derived_cl663,plain,
zip_tseitin_14,
inference(simplify,[status(thm)],[zip_derived_cl662]) ).
thf(zip_derived_cl105,plain,
( zip_tseitin_13
| ( ( op @ e3 @ e0 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_175]) ).
thf(zip_derived_cl19_098,plain,
( ( op @ e3 @ e0 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl660,plain,
( zip_tseitin_13
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl19]) ).
thf(zip_derived_cl661,plain,
zip_tseitin_13,
inference(simplify,[status(thm)],[zip_derived_cl660]) ).
thf(zip_derived_cl100,plain,
( zip_tseitin_12
| ( ( op @ e0 @ e3 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_177]) ).
thf(zip_derived_cl31_099,plain,
( ( op @ e0 @ e3 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl650,plain,
( zip_tseitin_12
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl31]) ).
thf(zip_derived_cl651,plain,
zip_tseitin_12,
inference(simplify,[status(thm)],[zip_derived_cl650]) ).
thf(zip_derived_cl93,plain,
( zip_tseitin_11
| ( ( op @ e3 @ e2 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_179]) ).
thf(zip_derived_cl17_100,plain,
( ( op @ e3 @ e2 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl636,plain,
( zip_tseitin_11
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl93,zip_derived_cl17]) ).
thf(zip_derived_cl637,plain,
zip_tseitin_11,
inference(simplify,[status(thm)],[zip_derived_cl636]) ).
thf(zip_derived_cl89,plain,
( zip_tseitin_10
| ( ( op @ e1 @ e3 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_181]) ).
thf(zip_derived_cl26_101,plain,
( ( op @ e1 @ e3 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl628,plain,
( zip_tseitin_10
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl26]) ).
thf(zip_derived_cl629,plain,
zip_tseitin_10,
inference(simplify,[status(thm)],[zip_derived_cl628]) ).
thf(zip_derived_cl81,plain,
( zip_tseitin_9
| ( ( op @ e4 @ e4 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_183]) ).
thf(zip_derived_cl10_102,plain,
( ( op @ e4 @ e4 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl612,plain,
( zip_tseitin_9
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl10]) ).
thf(zip_derived_cl613,plain,
zip_tseitin_9,
inference(simplify,[status(thm)],[zip_derived_cl612]) ).
thf(zip_derived_cl76,plain,
( zip_tseitin_8
| ( ( op @ e4 @ e4 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_185]) ).
thf(zip_derived_cl10_103,plain,
( ( op @ e4 @ e4 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl602,plain,
( zip_tseitin_8
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl10]) ).
thf(zip_derived_cl603,plain,
zip_tseitin_8,
inference(simplify,[status(thm)],[zip_derived_cl602]) ).
thf(zip_derived_cl73,plain,
( zip_tseitin_7
| ( ( op @ e4 @ e2 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_187]) ).
thf(zip_derived_cl12_104,plain,
( ( op @ e4 @ e2 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl596,plain,
( zip_tseitin_7
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl12]) ).
thf(zip_derived_cl597,plain,
zip_tseitin_7,
inference(simplify,[status(thm)],[zip_derived_cl596]) ).
thf(zip_derived_cl67,plain,
( zip_tseitin_6
| ( ( op @ e3 @ e4 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_189]) ).
thf(zip_derived_cl15_105,plain,
( ( op @ e3 @ e4 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl584,plain,
( zip_tseitin_6
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl15]) ).
thf(zip_derived_cl585,plain,
zip_tseitin_6,
inference(simplify,[status(thm)],[zip_derived_cl584]) ).
thf(zip_derived_cl62,plain,
( zip_tseitin_5
| ( ( op @ e4 @ e3 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_191]) ).
thf(zip_derived_cl11_106,plain,
( ( op @ e4 @ e3 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl565,plain,
( zip_tseitin_5
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl11]) ).
thf(zip_derived_cl566,plain,
zip_tseitin_5,
inference(simplify,[status(thm)],[zip_derived_cl565]) ).
thf(zip_derived_cl59,plain,
( zip_tseitin_4
| ( ( op @ e1 @ e4 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_193]) ).
thf(zip_derived_cl25_107,plain,
( ( op @ e1 @ e4 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl559,plain,
( zip_tseitin_4
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl25]) ).
thf(zip_derived_cl560,plain,
zip_tseitin_4,
inference(simplify,[status(thm)],[zip_derived_cl559]) ).
thf(zip_derived_cl54,plain,
( zip_tseitin_3
| ( ( op @ e4 @ e1 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_195]) ).
thf(zip_derived_cl13_108,plain,
( ( op @ e4 @ e1 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl539,plain,
( zip_tseitin_3
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl13]) ).
thf(zip_derived_cl540,plain,
zip_tseitin_3,
inference(simplify,[status(thm)],[zip_derived_cl539]) ).
thf(zip_derived_cl48,plain,
( zip_tseitin_2
| ( ( op @ e2 @ e4 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_197]) ).
thf(zip_derived_cl20_109,plain,
( ( op @ e2 @ e4 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl514,plain,
( zip_tseitin_2
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl20]) ).
thf(zip_derived_cl515,plain,
zip_tseitin_2,
inference(simplify,[status(thm)],[zip_derived_cl514]) ).
thf(zip_derived_cl45,plain,
( zip_tseitin_1
| ( ( op @ e4 @ e0 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_199]) ).
thf(zip_derived_cl14_110,plain,
( ( op @ e4 @ e0 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl499,plain,
( zip_tseitin_1
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl14]) ).
thf(zip_derived_cl500,plain,
zip_tseitin_1,
inference(simplify,[status(thm)],[zip_derived_cl499]) ).
thf(zip_derived_cl40,plain,
( zip_tseitin_0
| ( ( op @ e0 @ e4 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_201]) ).
thf(zip_derived_cl30_111,plain,
( ( op @ e0 @ e4 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl485,plain,
( zip_tseitin_0
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl30]) ).
thf(zip_derived_cl486,plain,
zip_tseitin_0,
inference(simplify,[status(thm)],[zip_derived_cl485]) ).
thf(zip_derived_cl1322,plain,
( ( e0 != e0 )
| ( e0 != e0 )
| ( e1 != e1 )
| ( e1 != e1 )
| ( e2 != e2 )
| ( e2 != e2 )
| ( e3 != e3 )
| ( e3 != e3 )
| ( e4 != e4 )
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl466,zip_derived_cl1321,zip_derived_cl574,zip_derived_cl572,zip_derived_cl570,zip_derived_cl568,zip_derived_cl1311,zip_derived_cl555,zip_derived_cl553,zip_derived_cl551,zip_derived_cl549,zip_derived_cl1301,zip_derived_cl538,zip_derived_cl534,zip_derived_cl532,zip_derived_cl530,zip_derived_cl1291,zip_derived_cl527,zip_derived_cl517,zip_derived_cl513,zip_derived_cl511,zip_derived_cl1281,zip_derived_cl508,zip_derived_cl506,zip_derived_cl496,zip_derived_cl492,zip_derived_cl1271,zip_derived_cl1259,zip_derived_cl1247,zip_derived_cl1235,zip_derived_cl1223,zip_derived_cl1219,zip_derived_cl1211,zip_derived_cl1195,zip_derived_cl1183,zip_derived_cl1177,zip_derived_cl1167,zip_derived_cl1153,zip_derived_cl1151,zip_derived_cl1139,zip_derived_cl1125,zip_derived_cl1115,zip_derived_cl1107,zip_derived_cl1093,zip_derived_cl1091,zip_derived_cl1079,zip_derived_cl1063,zip_derived_cl1055,zip_derived_cl1049,zip_derived_cl1037,zip_derived_cl1031,zip_derived_cl35,zip_derived_cl34,zip_derived_cl35,zip_derived_cl34,zip_derived_cl35,zip_derived_cl33,zip_derived_cl35,zip_derived_cl29,zip_derived_cl35,zip_derived_cl32,zip_derived_cl35,zip_derived_cl24,zip_derived_cl35,zip_derived_cl31,zip_derived_cl35,zip_derived_cl19,zip_derived_cl35,zip_derived_cl30,zip_derived_cl35,zip_derived_cl14,zip_derived_cl476,zip_derived_cl1021,zip_derived_cl1011,zip_derived_cl999,zip_derived_cl989,zip_derived_cl977,zip_derived_cl967,zip_derived_cl955,zip_derived_cl945,zip_derived_cl933,zip_derived_cl923,zip_derived_cl919,zip_derived_cl909,zip_derived_cl901,zip_derived_cl891,zip_derived_cl873,zip_derived_cl865,zip_derived_cl857,zip_derived_cl843,zip_derived_cl835,zip_derived_cl827,zip_derived_cl817,zip_derived_cl807,zip_derived_cl795,zip_derived_cl783,zip_derived_cl781,zip_derived_cl771,zip_derived_cl753,zip_derived_cl749,zip_derived_cl739,zip_derived_cl725,zip_derived_cl715,zip_derived_cl705,zip_derived_cl693,zip_derived_cl687,zip_derived_cl679,zip_derived_cl663,zip_derived_cl661,zip_derived_cl651,zip_derived_cl637,zip_derived_cl629,zip_derived_cl613,zip_derived_cl603,zip_derived_cl597,zip_derived_cl585,zip_derived_cl566,zip_derived_cl560,zip_derived_cl540,zip_derived_cl515,zip_derived_cl500,zip_derived_cl486]) ).
thf(zip_derived_cl1323,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG091+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RpyZ76m7c6 true
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 04:27:32 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.38/0.88 % Solved by fo/fo13.sh.
% 1.38/0.88 % done 0 iterations in 0.118s
% 1.38/0.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.38/0.88 % SZS output start Refutation
% See solution above
% 1.38/0.89
% 1.38/0.89
% 1.38/0.89 % Terminating...
% 2.29/0.93 % Runner terminated.
% 2.29/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------