TSTP Solution File: ALG090+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG090+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.u0hrjACJnX true
% Computer : n021.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 1.31s 0.87s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 254
% Syntax : Number of formulae : 672 ( 254 unt; 169 typ; 0 def)
% Number of atoms : 1787 (1219 equ; 0 cnn)
% Maximal formula atoms : 415 ( 3 avg)
% Number of connectives : 3644 ( 264 ~; 909 |; 294 &;2096 @)
% ( 0 <=>; 81 =>; 0 <=; 0 <~>)
% Maximal formula depth : 95 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 90 ( 88 usr; 88 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(op_type,type,
op: $i > $i > $i ).
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_45_type,type,
zip_tseitin_45: $o ).
thf(zip_tseitin_65_type,type,
zip_tseitin_65: $o ).
thf(zip_tseitin_25_type,type,
zip_tseitin_25: $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_17_type,type,
zip_tseitin_17: $o ).
thf(zip_tseitin_77_type,type,
zip_tseitin_77: $o ).
thf(e4_type,type,
e4: $i ).
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(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_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_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(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_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(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_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_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(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 @ e0 @ e0 )
= e4 )
| ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e4 @ e4 )
= e4 ) )
& ( ( ( op @ e0 @ e0 )
= e3 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e4 @ e4 )
= e3 ) )
& ( ( ( op @ e0 @ e0 )
= e2 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e4 @ e4 )
= e2 ) )
& ( ( ( op @ e0 @ e0 )
= e1 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e4 @ e4 )
= e1 ) )
& ( ( ( op @ e0 @ e0 )
= e0 )
| ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e4 @ e4 )
= e0 ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_80: $o ).
thf(zf_stmt_1,axiom,
( ( ( ( op @ e4 @ e4 )
= e0 )
| ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e0 @ e0 )
= e0 ) )
=> zip_tseitin_80 ) ).
thf(zf_stmt_2,type,
zip_tseitin_79: $o ).
thf(zf_stmt_3,axiom,
( ( ( ( op @ e4 @ e4 )
= e1 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e0 @ e0 )
= e1 ) )
=> zip_tseitin_79 ) ).
thf(zf_stmt_4,type,
zip_tseitin_78: $o ).
thf(zf_stmt_5,axiom,
( ( ( ( op @ e4 @ e4 )
= e2 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e0 @ e0 )
= e2 ) )
=> zip_tseitin_78 ) ).
thf(zf_stmt_6,type,
zip_tseitin_77: $o ).
thf(zf_stmt_7,axiom,
( ( ( ( op @ e4 @ e4 )
= e3 )
| ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e0 @ e0 )
= e3 ) )
=> zip_tseitin_77 ) ).
thf(zf_stmt_8,type,
zip_tseitin_76: $o ).
thf(zf_stmt_9,axiom,
( ( ( ( op @ e4 @ e4 )
= e4 )
| ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e0 @ e0 )
= e4 ) )
=> zip_tseitin_76 ) ).
thf(zf_stmt_10,type,
zip_tseitin_75: $o ).
thf(zf_stmt_11,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_12,type,
zip_tseitin_74: $o ).
thf(zf_stmt_13,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_14,type,
zip_tseitin_73: $o ).
thf(zf_stmt_15,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_16,type,
zip_tseitin_72: $o ).
thf(zf_stmt_17,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_18,type,
zip_tseitin_71: $o ).
thf(zf_stmt_19,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_20,type,
zip_tseitin_70: $o ).
thf(zf_stmt_21,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_22,type,
zip_tseitin_69: $o ).
thf(zf_stmt_23,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_24,type,
zip_tseitin_68: $o ).
thf(zf_stmt_25,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_26,type,
zip_tseitin_67: $o ).
thf(zf_stmt_27,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_28,type,
zip_tseitin_66: $o ).
thf(zf_stmt_29,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_30,type,
zip_tseitin_65: $o ).
thf(zf_stmt_31,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_32,type,
zip_tseitin_64: $o ).
thf(zf_stmt_33,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_34,type,
zip_tseitin_63: $o ).
thf(zf_stmt_35,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_36,type,
zip_tseitin_62: $o ).
thf(zf_stmt_37,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_38,type,
zip_tseitin_61: $o ).
thf(zf_stmt_39,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_40,type,
zip_tseitin_60: $o ).
thf(zf_stmt_41,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_42,type,
zip_tseitin_59: $o ).
thf(zf_stmt_43,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_44,type,
zip_tseitin_58: $o ).
thf(zf_stmt_45,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_46,type,
zip_tseitin_57: $o ).
thf(zf_stmt_47,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_48,type,
zip_tseitin_56: $o ).
thf(zf_stmt_49,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_50,type,
zip_tseitin_55: $o ).
thf(zf_stmt_51,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_52,type,
zip_tseitin_54: $o ).
thf(zf_stmt_53,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_54,type,
zip_tseitin_53: $o ).
thf(zf_stmt_55,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_56,type,
zip_tseitin_52: $o ).
thf(zf_stmt_57,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_58,type,
zip_tseitin_51: $o ).
thf(zf_stmt_59,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_60,type,
zip_tseitin_50: $o ).
thf(zf_stmt_61,axiom,
( ( ( unit = e4 )
| ( unit = e3 )
| ( unit = e2 )
| ( unit = e1 )
| ( unit = e0 ) )
=> zip_tseitin_50 ) ).
thf(zf_stmt_62,type,
zip_tseitin_49: $o ).
thf(zf_stmt_63,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_64,type,
zip_tseitin_48: $o ).
thf(zf_stmt_65,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_66,type,
zip_tseitin_47: $o ).
thf(zf_stmt_67,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_68,type,
zip_tseitin_46: $o ).
thf(zf_stmt_69,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_70,type,
zip_tseitin_45: $o ).
thf(zf_stmt_71,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_72,type,
zip_tseitin_44: $o ).
thf(zf_stmt_73,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_74,type,
zip_tseitin_43: $o ).
thf(zf_stmt_75,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_76,type,
zip_tseitin_42: $o ).
thf(zf_stmt_77,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_78,type,
zip_tseitin_41: $o ).
thf(zf_stmt_79,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_80,type,
zip_tseitin_40: $o ).
thf(zf_stmt_81,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_82,type,
zip_tseitin_39: $o ).
thf(zf_stmt_83,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_84,type,
zip_tseitin_38: $o ).
thf(zf_stmt_85,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_86,type,
zip_tseitin_37: $o ).
thf(zf_stmt_87,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_88,type,
zip_tseitin_36: $o ).
thf(zf_stmt_89,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_90,type,
zip_tseitin_35: $o ).
thf(zf_stmt_91,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_92,type,
zip_tseitin_34: $o ).
thf(zf_stmt_93,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_94,type,
zip_tseitin_33: $o ).
thf(zf_stmt_95,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_96,type,
zip_tseitin_32: $o ).
thf(zf_stmt_97,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_98,type,
zip_tseitin_31: $o ).
thf(zf_stmt_99,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_100,type,
zip_tseitin_30: $o ).
thf(zf_stmt_101,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_102,type,
zip_tseitin_29: $o ).
thf(zf_stmt_103,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_104,type,
zip_tseitin_28: $o ).
thf(zf_stmt_105,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_106,type,
zip_tseitin_27: $o ).
thf(zf_stmt_107,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_108,type,
zip_tseitin_26: $o ).
thf(zf_stmt_109,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_110,type,
zip_tseitin_25: $o ).
thf(zf_stmt_111,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_112,type,
zip_tseitin_24: $o ).
thf(zf_stmt_113,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_114,type,
zip_tseitin_23: $o ).
thf(zf_stmt_115,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_116,type,
zip_tseitin_22: $o ).
thf(zf_stmt_117,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_118,type,
zip_tseitin_21: $o ).
thf(zf_stmt_119,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_120,type,
zip_tseitin_20: $o ).
thf(zf_stmt_121,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_122,type,
zip_tseitin_19: $o ).
thf(zf_stmt_123,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_124,type,
zip_tseitin_18: $o ).
thf(zf_stmt_125,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_126,type,
zip_tseitin_17: $o ).
thf(zf_stmt_127,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_128,type,
zip_tseitin_16: $o ).
thf(zf_stmt_129,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_130,type,
zip_tseitin_15: $o ).
thf(zf_stmt_131,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_132,type,
zip_tseitin_14: $o ).
thf(zf_stmt_133,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_134,type,
zip_tseitin_13: $o ).
thf(zf_stmt_135,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_136,type,
zip_tseitin_12: $o ).
thf(zf_stmt_137,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_138,type,
zip_tseitin_11: $o ).
thf(zf_stmt_139,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_140,type,
zip_tseitin_10: $o ).
thf(zf_stmt_141,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_142,type,
zip_tseitin_9: $o ).
thf(zf_stmt_143,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_144,type,
zip_tseitin_8: $o ).
thf(zf_stmt_145,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_146,type,
zip_tseitin_7: $o ).
thf(zf_stmt_147,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_148,type,
zip_tseitin_6: $o ).
thf(zf_stmt_149,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_150,type,
zip_tseitin_5: $o ).
thf(zf_stmt_151,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_152,type,
zip_tseitin_4: $o ).
thf(zf_stmt_153,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_154,type,
zip_tseitin_3: $o ).
thf(zf_stmt_155,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_156,type,
zip_tseitin_2: $o ).
thf(zf_stmt_157,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_158,type,
zip_tseitin_1: $o ).
thf(zf_stmt_159,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_160,type,
zip_tseitin_0: $o ).
thf(zf_stmt_161,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_162,conjecture,
( 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_163,negated_conjecture,
~ ( 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_162]) ).
thf(zip_derived_cl441,plain,
( ~ 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_163]) ).
thf(zip_derived_cl440,plain,
( zip_tseitin_80
| ( ( op @ e0 @ e0 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(ax3,axiom,
unit = e0 ).
thf(zip_derived_cl35,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl35_001,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(ax2,axiom,
( ( ( op @ e4 @ e4 )
= e2 )
& ( ( op @ e4 @ e3 )
= e0 )
& ( ( op @ e4 @ e2 )
= e1 )
& ( ( op @ e4 @ e1 )
= e3 )
& ( ( op @ e4 @ e0 )
= e4 )
& ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e3 @ e2 )
= e4 )
& ( ( op @ e3 @ e1 )
= e2 )
& ( ( op @ e3 @ e0 )
= e3 )
& ( ( op @ e2 @ e4 )
= e1 )
& ( ( op @ e2 @ e3 )
= e4 )
& ( ( op @ e2 @ e2 )
= e3 )
& ( ( op @ e2 @ e1 )
= e0 )
& ( ( op @ e2 @ e0 )
= e2 )
& ( ( op @ e1 @ e4 )
= e3 )
& ( ( op @ e1 @ e3 )
= e2 )
& ( ( op @ e1 @ e2 )
= e0 )
& ( ( op @ e1 @ e1 )
= e4 )
& ( ( 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_cl35_002,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl35_003,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl35_004,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl464,plain,
( ( op @ unit @ unit )
= unit ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl35,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl35_005,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1263,plain,
( zip_tseitin_80
| ( unit != unit ) ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl35,zip_derived_cl35,zip_derived_cl464,zip_derived_cl35]) ).
thf(zip_derived_cl1264,plain,
zip_tseitin_80,
inference(simplify,[status(thm)],[zip_derived_cl1263]) ).
thf(zip_derived_cl432,plain,
( zip_tseitin_79
| ( ( op @ e3 @ e3 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl16,plain,
( ( op @ e3 @ e3 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1247,plain,
( zip_tseitin_79
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl16]) ).
thf(zip_derived_cl1248,plain,
zip_tseitin_79,
inference(simplify,[status(thm)],[zip_derived_cl1247]) ).
thf(zip_derived_cl426,plain,
( zip_tseitin_78
| ( ( op @ e4 @ e4 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl10,plain,
( ( op @ e4 @ e4 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1235,plain,
( zip_tseitin_78
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl10]) ).
thf(zip_derived_cl1236,plain,
zip_tseitin_78,
inference(simplify,[status(thm)],[zip_derived_cl1235]) ).
thf(zip_derived_cl423,plain,
( zip_tseitin_77
| ( ( op @ e2 @ e2 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl22,plain,
( ( op @ e2 @ e2 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1229,plain,
( zip_tseitin_77
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl22]) ).
thf(zip_derived_cl1230,plain,
zip_tseitin_77,
inference(simplify,[status(thm)],[zip_derived_cl1229]) ).
thf(zip_derived_cl419,plain,
( zip_tseitin_76
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl28,plain,
( ( op @ e1 @ e1 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1221,plain,
( zip_tseitin_76
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl419,zip_derived_cl28]) ).
thf(zip_derived_cl1222,plain,
zip_tseitin_76,
inference(simplify,[status(thm)],[zip_derived_cl1221]) ).
thf(zip_derived_cl415,plain,
( zip_tseitin_75
| ( ( op @ e0 @ e0 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl35_006,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl35_007,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl464_008,plain,
( ( op @ unit @ unit )
= unit ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl35,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl35_009,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1213,plain,
( zip_tseitin_75
| ( unit != unit ) ),
inference(demod,[status(thm)],[zip_derived_cl415,zip_derived_cl35,zip_derived_cl35,zip_derived_cl464,zip_derived_cl35]) ).
thf(zip_derived_cl1214,plain,
zip_tseitin_75,
inference(simplify,[status(thm)],[zip_derived_cl1213]) ).
thf(zip_derived_cl409,plain,
( zip_tseitin_74
| ( ( op @ e0 @ e1 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl35_010,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl33,plain,
( ( op @ e0 @ e1 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_011,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl463,plain,
( ( op @ unit @ e1 )
= e1 ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl35]) ).
thf(zip_derived_cl1201,plain,
( zip_tseitin_74
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl409,zip_derived_cl35,zip_derived_cl463]) ).
thf(zip_derived_cl1202,plain,
zip_tseitin_74,
inference(simplify,[status(thm)],[zip_derived_cl1201]) ).
thf(zip_derived_cl403,plain,
( zip_tseitin_73
| ( ( op @ e0 @ e2 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl35_012,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl32,plain,
( ( op @ e0 @ e2 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_013,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl462,plain,
( ( op @ unit @ e2 )
= e2 ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl35]) ).
thf(zip_derived_cl1189,plain,
( zip_tseitin_73
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl403,zip_derived_cl35,zip_derived_cl462]) ).
thf(zip_derived_cl1190,plain,
zip_tseitin_73,
inference(simplify,[status(thm)],[zip_derived_cl1189]) ).
thf(zip_derived_cl397,plain,
( zip_tseitin_72
| ( ( op @ e0 @ e3 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl35_014,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl31,plain,
( ( op @ e0 @ e3 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_015,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl461,plain,
( ( op @ unit @ e3 )
= e3 ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl35]) ).
thf(zip_derived_cl1177,plain,
( zip_tseitin_72
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl397,zip_derived_cl35,zip_derived_cl461]) ).
thf(zip_derived_cl1178,plain,
zip_tseitin_72,
inference(simplify,[status(thm)],[zip_derived_cl1177]) ).
thf(zip_derived_cl391,plain,
( zip_tseitin_71
| ( ( op @ e0 @ e4 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf(zip_derived_cl35_016,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl30,plain,
( ( op @ e0 @ e4 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_017,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl460,plain,
( ( op @ unit @ e4 )
= e4 ),
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl35]) ).
thf(zip_derived_cl1165,plain,
( zip_tseitin_71
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl391,zip_derived_cl35,zip_derived_cl460]) ).
thf(zip_derived_cl1166,plain,
zip_tseitin_71,
inference(simplify,[status(thm)],[zip_derived_cl1165]) ).
thf(zip_derived_cl389,plain,
( zip_tseitin_70
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf(zip_derived_cl35_018,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl29,plain,
( ( op @ e1 @ e0 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_019,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl459,plain,
( ( op @ e1 @ unit )
= e1 ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl35]) ).
thf(zip_derived_cl1161,plain,
( zip_tseitin_70
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl389,zip_derived_cl35,zip_derived_cl459]) ).
thf(zip_derived_cl1162,plain,
zip_tseitin_70,
inference(simplify,[status(thm)],[zip_derived_cl1161]) ).
thf(zip_derived_cl381,plain,
( zip_tseitin_69
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf(zip_derived_cl28_020,plain,
( ( op @ e1 @ e1 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1145,plain,
( zip_tseitin_69
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl381,zip_derived_cl28]) ).
thf(zip_derived_cl1146,plain,
zip_tseitin_69,
inference(simplify,[status(thm)],[zip_derived_cl1145]) ).
thf(zip_derived_cl380,plain,
( zip_tseitin_68
| ( ( op @ e1 @ e2 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf(zip_derived_cl27,plain,
( ( op @ e1 @ e2 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_021,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl458,plain,
( ( op @ e1 @ e2 )
= unit ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl35]) ).
thf(zip_derived_cl35_022,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1143,plain,
( zip_tseitin_68
| ( unit != unit ) ),
inference(demod,[status(thm)],[zip_derived_cl380,zip_derived_cl458,zip_derived_cl35]) ).
thf(zip_derived_cl1144,plain,
zip_tseitin_68,
inference(simplify,[status(thm)],[zip_derived_cl1143]) ).
thf(zip_derived_cl373,plain,
( zip_tseitin_67
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl26,plain,
( ( op @ e1 @ e3 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1129,plain,
( zip_tseitin_67
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl373,zip_derived_cl26]) ).
thf(zip_derived_cl1130,plain,
zip_tseitin_67,
inference(simplify,[status(thm)],[zip_derived_cl1129]) ).
thf(zip_derived_cl367,plain,
( zip_tseitin_66
| ( ( op @ e1 @ e4 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf(zip_derived_cl25,plain,
( ( op @ e1 @ e4 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1117,plain,
( zip_tseitin_66
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl367,zip_derived_cl25]) ).
thf(zip_derived_cl1118,plain,
zip_tseitin_66,
inference(simplify,[status(thm)],[zip_derived_cl1117]) ).
thf(zip_derived_cl363,plain,
( zip_tseitin_65
| ( ( op @ e2 @ e0 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl35_023,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl24,plain,
( ( op @ e2 @ e0 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_024,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl457,plain,
( ( op @ e2 @ unit )
= e2 ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl35]) ).
thf(zip_derived_cl1109,plain,
( zip_tseitin_65
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl363,zip_derived_cl35,zip_derived_cl457]) ).
thf(zip_derived_cl1110,plain,
zip_tseitin_65,
inference(simplify,[status(thm)],[zip_derived_cl1109]) ).
thf(zip_derived_cl360,plain,
( zip_tseitin_64
| ( ( op @ e2 @ e1 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf(zip_derived_cl23,plain,
( ( op @ e2 @ e1 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_025,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl456,plain,
( ( op @ e2 @ e1 )
= unit ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl35]) ).
thf(zip_derived_cl35_026,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1103,plain,
( zip_tseitin_64
| ( unit != unit ) ),
inference(demod,[status(thm)],[zip_derived_cl360,zip_derived_cl456,zip_derived_cl35]) ).
thf(zip_derived_cl1104,plain,
zip_tseitin_64,
inference(simplify,[status(thm)],[zip_derived_cl1103]) ).
thf(zip_derived_cl352,plain,
( zip_tseitin_63
| ( ( op @ e2 @ e2 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_35]) ).
thf(zip_derived_cl22_027,plain,
( ( op @ e2 @ e2 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1087,plain,
( zip_tseitin_63
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl22]) ).
thf(zip_derived_cl1088,plain,
zip_tseitin_63,
inference(simplify,[status(thm)],[zip_derived_cl1087]) ).
thf(zip_derived_cl346,plain,
( zip_tseitin_62
| ( ( op @ e2 @ e3 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_37]) ).
thf(zip_derived_cl21,plain,
( ( op @ e2 @ e3 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1075,plain,
( zip_tseitin_62
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl346,zip_derived_cl21]) ).
thf(zip_derived_cl1076,plain,
zip_tseitin_62,
inference(simplify,[status(thm)],[zip_derived_cl1075]) ).
thf(zip_derived_cl344,plain,
( zip_tseitin_61
| ( ( op @ e2 @ e4 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_39]) ).
thf(zip_derived_cl20,plain,
( ( op @ e2 @ e4 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1071,plain,
( zip_tseitin_61
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl344,zip_derived_cl20]) ).
thf(zip_derived_cl1072,plain,
zip_tseitin_61,
inference(simplify,[status(thm)],[zip_derived_cl1071]) ).
thf(zip_derived_cl337,plain,
( zip_tseitin_60
| ( ( op @ e3 @ e0 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl35_028,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl19,plain,
( ( op @ e3 @ e0 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_029,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl455,plain,
( ( op @ e3 @ unit )
= e3 ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl35]) ).
thf(zip_derived_cl1057,plain,
( zip_tseitin_60
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl337,zip_derived_cl35,zip_derived_cl455]) ).
thf(zip_derived_cl1058,plain,
zip_tseitin_60,
inference(simplify,[status(thm)],[zip_derived_cl1057]) ).
thf(zip_derived_cl333,plain,
( zip_tseitin_59
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_43]) ).
thf(zip_derived_cl18,plain,
( ( op @ e3 @ e1 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1049,plain,
( zip_tseitin_59
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl333,zip_derived_cl18]) ).
thf(zip_derived_cl1050,plain,
zip_tseitin_59,
inference(simplify,[status(thm)],[zip_derived_cl1049]) ).
thf(zip_derived_cl326,plain,
( zip_tseitin_58
| ( ( op @ e3 @ e2 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_45]) ).
thf(zip_derived_cl17,plain,
( ( op @ e3 @ e2 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1035,plain,
( zip_tseitin_58
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl326,zip_derived_cl17]) ).
thf(zip_derived_cl1036,plain,
zip_tseitin_58,
inference(simplify,[status(thm)],[zip_derived_cl1035]) ).
thf(zip_derived_cl324,plain,
( zip_tseitin_57
| ( ( op @ e3 @ e3 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_47]) ).
thf(zip_derived_cl16_030,plain,
( ( op @ e3 @ e3 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1031,plain,
( zip_tseitin_57
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl324,zip_derived_cl16]) ).
thf(zip_derived_cl1032,plain,
zip_tseitin_57,
inference(simplify,[status(thm)],[zip_derived_cl1031]) ).
thf(zip_derived_cl320,plain,
( zip_tseitin_56
| ( ( op @ e3 @ e4 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_49]) ).
thf(zip_derived_cl15,plain,
( ( op @ e3 @ e4 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_031,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl454,plain,
( ( op @ e3 @ e4 )
= unit ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl35]) ).
thf(zip_derived_cl35_032,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1023,plain,
( zip_tseitin_56
| ( unit != unit ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl454,zip_derived_cl35]) ).
thf(zip_derived_cl1024,plain,
zip_tseitin_56,
inference(simplify,[status(thm)],[zip_derived_cl1023]) ).
thf(zip_derived_cl311,plain,
( zip_tseitin_55
| ( ( op @ e4 @ e0 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_51]) ).
thf(zip_derived_cl35_033,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl14,plain,
( ( op @ e4 @ e0 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_034,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl453,plain,
( ( op @ e4 @ unit )
= e4 ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl35]) ).
thf(zip_derived_cl1005,plain,
( zip_tseitin_55
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl311,zip_derived_cl35,zip_derived_cl453]) ).
thf(zip_derived_cl1006,plain,
zip_tseitin_55,
inference(simplify,[status(thm)],[zip_derived_cl1005]) ).
thf(zip_derived_cl307,plain,
( zip_tseitin_54
| ( ( op @ e4 @ e1 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf(zip_derived_cl13,plain,
( ( op @ e4 @ e1 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl997,plain,
( zip_tseitin_54
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl13]) ).
thf(zip_derived_cl998,plain,
zip_tseitin_54,
inference(simplify,[status(thm)],[zip_derived_cl997]) ).
thf(zip_derived_cl304,plain,
( zip_tseitin_53
| ( ( op @ e4 @ e2 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_55]) ).
thf(zip_derived_cl12,plain,
( ( op @ e4 @ e2 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl991,plain,
( zip_tseitin_53
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl304,zip_derived_cl12]) ).
thf(zip_derived_cl992,plain,
zip_tseitin_53,
inference(simplify,[status(thm)],[zip_derived_cl991]) ).
thf(zip_derived_cl300,plain,
( zip_tseitin_52
| ( ( op @ e4 @ e3 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf(zip_derived_cl11,plain,
( ( op @ e4 @ e3 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl35_035,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl452,plain,
( ( op @ e4 @ e3 )
= unit ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl35]) ).
thf(zip_derived_cl35_036,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl983,plain,
( zip_tseitin_52
| ( unit != unit ) ),
inference(demod,[status(thm)],[zip_derived_cl300,zip_derived_cl452,zip_derived_cl35]) ).
thf(zip_derived_cl984,plain,
zip_tseitin_52,
inference(simplify,[status(thm)],[zip_derived_cl983]) ).
thf(zip_derived_cl293,plain,
( zip_tseitin_51
| ( ( op @ e4 @ e4 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_59]) ).
thf(zip_derived_cl10_037,plain,
( ( op @ e4 @ e4 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl969,plain,
( zip_tseitin_51
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl10]) ).
thf(zip_derived_cl970,plain,
zip_tseitin_51,
inference(simplify,[status(thm)],[zip_derived_cl969]) ).
thf(zip_derived_cl35_038,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl464_039,plain,
( ( op @ unit @ unit )
= unit ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl35,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl35_040,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl35_041,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl464_042,plain,
( ( op @ unit @ unit )
= unit ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl35,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl35_043,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl463_044,plain,
( ( op @ unit @ e1 )
= e1 ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl35]) ).
thf(zip_derived_cl459_045,plain,
( ( op @ e1 @ unit )
= e1 ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl35]) ).
thf(zip_derived_cl462_046,plain,
( ( op @ unit @ e2 )
= e2 ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl35]) ).
thf(zip_derived_cl457_047,plain,
( ( op @ e2 @ unit )
= e2 ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl35]) ).
thf(zip_derived_cl461_048,plain,
( ( op @ unit @ e3 )
= e3 ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl35]) ).
thf(zip_derived_cl455_049,plain,
( ( op @ e3 @ unit )
= e3 ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl35]) ).
thf(zip_derived_cl460_050,plain,
( ( op @ unit @ e4 )
= e4 ),
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl35]) ).
thf(zip_derived_cl453_051,plain,
( ( op @ e4 @ unit )
= e4 ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl35]) ).
thf(zip_derived_cl290,plain,
( zip_tseitin_50
| ( unit != e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_61]) ).
thf(zip_derived_cl35_052,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl450,plain,
( zip_tseitin_50
| ( unit != unit ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl35]) ).
thf(zip_derived_cl451,plain,
zip_tseitin_50,
inference(simplify,[status(thm)],[zip_derived_cl450]) ).
thf(zip_derived_cl285,plain,
( zip_tseitin_49
| ( ( op @ e0 @ e0 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_63]) ).
thf(zip_derived_cl35_053,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl35_054,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl464_055,plain,
( ( op @ unit @ unit )
= unit ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl35,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl35_056,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl963,plain,
( zip_tseitin_49
| ( unit != unit ) ),
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl35,zip_derived_cl35,zip_derived_cl464,zip_derived_cl35]) ).
thf(zip_derived_cl964,plain,
zip_tseitin_49,
inference(simplify,[status(thm)],[zip_derived_cl963]) ).
thf(zip_derived_cl280,plain,
( zip_tseitin_48
| ( ( op @ e0 @ e0 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_65]) ).
thf(zip_derived_cl35_057,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl35_058,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl464_059,plain,
( ( op @ unit @ unit )
= unit ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl35,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl35_060,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl953,plain,
( zip_tseitin_48
| ( unit != unit ) ),
inference(demod,[status(thm)],[zip_derived_cl280,zip_derived_cl35,zip_derived_cl35,zip_derived_cl464,zip_derived_cl35]) ).
thf(zip_derived_cl954,plain,
zip_tseitin_48,
inference(simplify,[status(thm)],[zip_derived_cl953]) ).
thf(zip_derived_cl274,plain,
( zip_tseitin_47
| ( ( op @ e0 @ e1 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_67]) ).
thf(zip_derived_cl35_061,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl463_062,plain,
( ( op @ unit @ e1 )
= e1 ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl35]) ).
thf(zip_derived_cl941,plain,
( zip_tseitin_47
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl35,zip_derived_cl463]) ).
thf(zip_derived_cl942,plain,
zip_tseitin_47,
inference(simplify,[status(thm)],[zip_derived_cl941]) ).
thf(zip_derived_cl269,plain,
( zip_tseitin_46
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_69]) ).
thf(zip_derived_cl35_063,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl459_064,plain,
( ( op @ e1 @ unit )
= e1 ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl35]) ).
thf(zip_derived_cl931,plain,
( zip_tseitin_46
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl269,zip_derived_cl35,zip_derived_cl459]) ).
thf(zip_derived_cl932,plain,
zip_tseitin_46,
inference(simplify,[status(thm)],[zip_derived_cl931]) ).
thf(zip_derived_cl263,plain,
( zip_tseitin_45
| ( ( op @ e0 @ e2 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_71]) ).
thf(zip_derived_cl35_065,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl462_066,plain,
( ( op @ unit @ e2 )
= e2 ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl35]) ).
thf(zip_derived_cl919,plain,
( zip_tseitin_45
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl263,zip_derived_cl35,zip_derived_cl462]) ).
thf(zip_derived_cl920,plain,
zip_tseitin_45,
inference(simplify,[status(thm)],[zip_derived_cl919]) ).
thf(zip_derived_cl258,plain,
( zip_tseitin_44
| ( ( op @ e2 @ e0 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_73]) ).
thf(zip_derived_cl35_067,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl457_068,plain,
( ( op @ e2 @ unit )
= e2 ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl35]) ).
thf(zip_derived_cl909,plain,
( zip_tseitin_44
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl258,zip_derived_cl35,zip_derived_cl457]) ).
thf(zip_derived_cl910,plain,
zip_tseitin_44,
inference(simplify,[status(thm)],[zip_derived_cl909]) ).
thf(zip_derived_cl252,plain,
( zip_tseitin_43
| ( ( op @ e0 @ e3 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_75]) ).
thf(zip_derived_cl35_069,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl461_070,plain,
( ( op @ unit @ e3 )
= e3 ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl35]) ).
thf(zip_derived_cl897,plain,
( zip_tseitin_43
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl252,zip_derived_cl35,zip_derived_cl461]) ).
thf(zip_derived_cl898,plain,
zip_tseitin_43,
inference(simplify,[status(thm)],[zip_derived_cl897]) ).
thf(zip_derived_cl247,plain,
( zip_tseitin_42
| ( ( op @ e3 @ e0 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_77]) ).
thf(zip_derived_cl35_071,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl455_072,plain,
( ( op @ e3 @ unit )
= e3 ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl35]) ).
thf(zip_derived_cl887,plain,
( zip_tseitin_42
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl247,zip_derived_cl35,zip_derived_cl455]) ).
thf(zip_derived_cl888,plain,
zip_tseitin_42,
inference(simplify,[status(thm)],[zip_derived_cl887]) ).
thf(zip_derived_cl241,plain,
( zip_tseitin_41
| ( ( op @ e0 @ e4 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_79]) ).
thf(zip_derived_cl35_073,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl460_074,plain,
( ( op @ unit @ e4 )
= e4 ),
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl35]) ).
thf(zip_derived_cl875,plain,
( zip_tseitin_41
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl241,zip_derived_cl35,zip_derived_cl460]) ).
thf(zip_derived_cl876,plain,
zip_tseitin_41,
inference(simplify,[status(thm)],[zip_derived_cl875]) ).
thf(zip_derived_cl236,plain,
( zip_tseitin_40
| ( ( op @ e4 @ e0 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_81]) ).
thf(zip_derived_cl35_075,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl453_076,plain,
( ( op @ e4 @ unit )
= e4 ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl35]) ).
thf(zip_derived_cl865,plain,
( zip_tseitin_40
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl236,zip_derived_cl35,zip_derived_cl453]) ).
thf(zip_derived_cl866,plain,
zip_tseitin_40,
inference(simplify,[status(thm)],[zip_derived_cl865]) ).
thf(zip_derived_cl233,plain,
( zip_tseitin_39
| ( ( op @ e1 @ e2 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_83]) ).
thf(zip_derived_cl458_077,plain,
( ( op @ e1 @ e2 )
= unit ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl35]) ).
thf(zip_derived_cl35_078,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl859,plain,
( zip_tseitin_39
| ( unit != unit ) ),
inference(demod,[status(thm)],[zip_derived_cl233,zip_derived_cl458,zip_derived_cl35]) ).
thf(zip_derived_cl860,plain,
zip_tseitin_39,
inference(simplify,[status(thm)],[zip_derived_cl859]) ).
thf(zip_derived_cl228,plain,
( zip_tseitin_38
| ( ( op @ e2 @ e1 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_85]) ).
thf(zip_derived_cl456_079,plain,
( ( op @ e2 @ e1 )
= unit ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl35]) ).
thf(zip_derived_cl35_080,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl849,plain,
( zip_tseitin_38
| ( unit != unit ) ),
inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl456,zip_derived_cl35]) ).
thf(zip_derived_cl850,plain,
zip_tseitin_38,
inference(simplify,[status(thm)],[zip_derived_cl849]) ).
thf(zip_derived_cl225,plain,
( zip_tseitin_37
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_87]) ).
thf(zip_derived_cl35_081,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl459_082,plain,
( ( op @ e1 @ unit )
= e1 ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl35]) ).
thf(zip_derived_cl843,plain,
( zip_tseitin_37
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl225,zip_derived_cl35,zip_derived_cl459]) ).
thf(zip_derived_cl844,plain,
zip_tseitin_37,
inference(simplify,[status(thm)],[zip_derived_cl843]) ).
thf(zip_derived_cl220,plain,
( zip_tseitin_36
| ( ( op @ e0 @ e1 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_89]) ).
thf(zip_derived_cl35_083,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl463_084,plain,
( ( op @ unit @ e1 )
= e1 ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl35]) ).
thf(zip_derived_cl833,plain,
( zip_tseitin_36
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl35,zip_derived_cl463]) ).
thf(zip_derived_cl834,plain,
zip_tseitin_36,
inference(simplify,[status(thm)],[zip_derived_cl833]) ).
thf(zip_derived_cl212,plain,
( zip_tseitin_35
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_91]) ).
thf(zip_derived_cl26_085,plain,
( ( op @ e1 @ e3 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl817,plain,
( zip_tseitin_35
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl212,zip_derived_cl26]) ).
thf(zip_derived_cl818,plain,
zip_tseitin_35,
inference(simplify,[status(thm)],[zip_derived_cl817]) ).
thf(zip_derived_cl207,plain,
( zip_tseitin_34
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_93]) ).
thf(zip_derived_cl18_086,plain,
( ( op @ e3 @ e1 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl807,plain,
( zip_tseitin_34
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl18]) ).
thf(zip_derived_cl808,plain,
zip_tseitin_34,
inference(simplify,[status(thm)],[zip_derived_cl807]) ).
thf(zip_derived_cl201,plain,
( zip_tseitin_33
| ( ( op @ e1 @ e4 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_95]) ).
thf(zip_derived_cl25_087,plain,
( ( op @ e1 @ e4 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl795,plain,
( zip_tseitin_33
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl25]) ).
thf(zip_derived_cl796,plain,
zip_tseitin_33,
inference(simplify,[status(thm)],[zip_derived_cl795]) ).
thf(zip_derived_cl196,plain,
( zip_tseitin_32
| ( ( op @ e4 @ e1 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_97]) ).
thf(zip_derived_cl13_088,plain,
( ( op @ e4 @ e1 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl785,plain,
( zip_tseitin_32
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl13]) ).
thf(zip_derived_cl786,plain,
zip_tseitin_32,
inference(simplify,[status(thm)],[zip_derived_cl785]) ).
thf(zip_derived_cl194,plain,
( zip_tseitin_31
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_99]) ).
thf(zip_derived_cl28_089,plain,
( ( op @ e1 @ e1 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl781,plain,
( zip_tseitin_31
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl28]) ).
thf(zip_derived_cl782,plain,
zip_tseitin_31,
inference(simplify,[status(thm)],[zip_derived_cl781]) ).
thf(zip_derived_cl189,plain,
( zip_tseitin_30
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_101]) ).
thf(zip_derived_cl28_090,plain,
( ( op @ e1 @ e1 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl771,plain,
( zip_tseitin_30
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl189,zip_derived_cl28]) ).
thf(zip_derived_cl772,plain,
zip_tseitin_30,
inference(simplify,[status(thm)],[zip_derived_cl771]) ).
thf(zip_derived_cl184,plain,
( zip_tseitin_29
| ( ( op @ e2 @ e1 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_103]) ).
thf(zip_derived_cl456_091,plain,
( ( op @ e2 @ e1 )
= unit ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl35]) ).
thf(zip_derived_cl35_092,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl761,plain,
( zip_tseitin_29
| ( unit != unit ) ),
inference(demod,[status(thm)],[zip_derived_cl184,zip_derived_cl456,zip_derived_cl35]) ).
thf(zip_derived_cl762,plain,
zip_tseitin_29,
inference(simplify,[status(thm)],[zip_derived_cl761]) ).
thf(zip_derived_cl179,plain,
( zip_tseitin_28
| ( ( op @ e1 @ e2 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_105]) ).
thf(zip_derived_cl458_093,plain,
( ( op @ e1 @ e2 )
= unit ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl35]) ).
thf(zip_derived_cl35_094,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl751,plain,
( zip_tseitin_28
| ( unit != unit ) ),
inference(demod,[status(thm)],[zip_derived_cl179,zip_derived_cl458,zip_derived_cl35]) ).
thf(zip_derived_cl752,plain,
zip_tseitin_28,
inference(simplify,[status(thm)],[zip_derived_cl751]) ).
thf(zip_derived_cl171,plain,
( zip_tseitin_27
| ( ( op @ e2 @ e4 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_107]) ).
thf(zip_derived_cl20_095,plain,
( ( op @ e2 @ e4 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl735,plain,
( zip_tseitin_27
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl20]) ).
thf(zip_derived_cl736,plain,
zip_tseitin_27,
inference(simplify,[status(thm)],[zip_derived_cl735]) ).
thf(zip_derived_cl166,plain,
( zip_tseitin_26
| ( ( op @ e4 @ e2 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_109]) ).
thf(zip_derived_cl12_096,plain,
( ( op @ e4 @ e2 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl725,plain,
( zip_tseitin_26
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl12]) ).
thf(zip_derived_cl726,plain,
zip_tseitin_26,
inference(simplify,[status(thm)],[zip_derived_cl725]) ).
thf(zip_derived_cl165,plain,
( zip_tseitin_25
| ( ( op @ e2 @ e0 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_111]) ).
thf(zip_derived_cl35_097,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl457_098,plain,
( ( op @ e2 @ unit )
= e2 ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl35]) ).
thf(zip_derived_cl723,plain,
( zip_tseitin_25
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl35,zip_derived_cl457]) ).
thf(zip_derived_cl724,plain,
zip_tseitin_25,
inference(simplify,[status(thm)],[zip_derived_cl723]) ).
thf(zip_derived_cl160,plain,
( zip_tseitin_24
| ( ( op @ e0 @ e2 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_113]) ).
thf(zip_derived_cl35_099,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl462_100,plain,
( ( op @ unit @ e2 )
= e2 ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl35]) ).
thf(zip_derived_cl713,plain,
( zip_tseitin_24
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl35,zip_derived_cl462]) ).
thf(zip_derived_cl714,plain,
zip_tseitin_24,
inference(simplify,[status(thm)],[zip_derived_cl713]) ).
thf(zip_derived_cl153,plain,
( zip_tseitin_23
| ( ( op @ e2 @ e2 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_115]) ).
thf(zip_derived_cl22_101,plain,
( ( op @ e2 @ e2 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl699,plain,
( zip_tseitin_23
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl22]) ).
thf(zip_derived_cl700,plain,
zip_tseitin_23,
inference(simplify,[status(thm)],[zip_derived_cl699]) ).
thf(zip_derived_cl148,plain,
( zip_tseitin_22
| ( ( op @ e2 @ e2 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_117]) ).
thf(zip_derived_cl22_102,plain,
( ( op @ e2 @ e2 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl689,plain,
( zip_tseitin_22
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl22]) ).
thf(zip_derived_cl690,plain,
zip_tseitin_22,
inference(simplify,[status(thm)],[zip_derived_cl689]) ).
thf(zip_derived_cl142,plain,
( zip_tseitin_21
| ( ( op @ e2 @ e3 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_119]) ).
thf(zip_derived_cl21_103,plain,
( ( op @ e2 @ e3 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl677,plain,
( zip_tseitin_21
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl21]) ).
thf(zip_derived_cl678,plain,
zip_tseitin_21,
inference(simplify,[status(thm)],[zip_derived_cl677]) ).
thf(zip_derived_cl137,plain,
( zip_tseitin_20
| ( ( op @ e3 @ e2 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_121]) ).
thf(zip_derived_cl17_104,plain,
( ( op @ e3 @ e2 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl667,plain,
( zip_tseitin_20
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl17]) ).
thf(zip_derived_cl668,plain,
zip_tseitin_20,
inference(simplify,[status(thm)],[zip_derived_cl667]) ).
thf(zip_derived_cl131,plain,
( zip_tseitin_19
| ( ( op @ e3 @ e4 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_123]) ).
thf(zip_derived_cl454_105,plain,
( ( op @ e3 @ e4 )
= unit ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl35]) ).
thf(zip_derived_cl35_106,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl655,plain,
( zip_tseitin_19
| ( unit != unit ) ),
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl454,zip_derived_cl35]) ).
thf(zip_derived_cl656,plain,
zip_tseitin_19,
inference(simplify,[status(thm)],[zip_derived_cl655]) ).
thf(zip_derived_cl126,plain,
( zip_tseitin_18
| ( ( op @ e4 @ e3 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_125]) ).
thf(zip_derived_cl452_107,plain,
( ( op @ e4 @ e3 )
= unit ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl35]) ).
thf(zip_derived_cl35_108,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl645,plain,
( zip_tseitin_18
| ( unit != unit ) ),
inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl452,zip_derived_cl35]) ).
thf(zip_derived_cl646,plain,
zip_tseitin_18,
inference(simplify,[status(thm)],[zip_derived_cl645]) ).
thf(zip_derived_cl122,plain,
( zip_tseitin_17
| ( ( op @ e3 @ e3 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_127]) ).
thf(zip_derived_cl16_109,plain,
( ( op @ e3 @ e3 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl637,plain,
( zip_tseitin_17
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl16]) ).
thf(zip_derived_cl638,plain,
zip_tseitin_17,
inference(simplify,[status(thm)],[zip_derived_cl637]) ).
thf(zip_derived_cl117,plain,
( zip_tseitin_16
| ( ( op @ e3 @ e3 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_129]) ).
thf(zip_derived_cl16_110,plain,
( ( op @ e3 @ e3 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl627,plain,
( zip_tseitin_16
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl16]) ).
thf(zip_derived_cl628,plain,
zip_tseitin_16,
inference(simplify,[status(thm)],[zip_derived_cl627]) ).
thf(zip_derived_cl114,plain,
( zip_tseitin_15
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_131]) ).
thf(zip_derived_cl18_111,plain,
( ( op @ e3 @ e1 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl621,plain,
( zip_tseitin_15
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl18]) ).
thf(zip_derived_cl622,plain,
zip_tseitin_15,
inference(simplify,[status(thm)],[zip_derived_cl621]) ).
thf(zip_derived_cl109,plain,
( zip_tseitin_14
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_133]) ).
thf(zip_derived_cl26_112,plain,
( ( op @ e1 @ e3 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl611,plain,
( zip_tseitin_14
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl109,zip_derived_cl26]) ).
thf(zip_derived_cl612,plain,
zip_tseitin_14,
inference(simplify,[status(thm)],[zip_derived_cl611]) ).
thf(zip_derived_cl105,plain,
( zip_tseitin_13
| ( ( op @ e3 @ e0 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_135]) ).
thf(zip_derived_cl35_113,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl455_114,plain,
( ( op @ e3 @ unit )
= e3 ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl35]) ).
thf(zip_derived_cl603,plain,
( zip_tseitin_13
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl35,zip_derived_cl455]) ).
thf(zip_derived_cl604,plain,
zip_tseitin_13,
inference(simplify,[status(thm)],[zip_derived_cl603]) ).
thf(zip_derived_cl100,plain,
( zip_tseitin_12
| ( ( op @ e0 @ e3 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_137]) ).
thf(zip_derived_cl35_115,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl461_116,plain,
( ( op @ unit @ e3 )
= e3 ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl35]) ).
thf(zip_derived_cl593,plain,
( zip_tseitin_12
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl35,zip_derived_cl461]) ).
thf(zip_derived_cl594,plain,
zip_tseitin_12,
inference(simplify,[status(thm)],[zip_derived_cl593]) ).
thf(zip_derived_cl93,plain,
( zip_tseitin_11
| ( ( op @ e3 @ e2 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_139]) ).
thf(zip_derived_cl17_117,plain,
( ( op @ e3 @ e2 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl579,plain,
( zip_tseitin_11
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl93,zip_derived_cl17]) ).
thf(zip_derived_cl580,plain,
zip_tseitin_11,
inference(simplify,[status(thm)],[zip_derived_cl579]) ).
thf(zip_derived_cl88,plain,
( zip_tseitin_10
| ( ( op @ e2 @ e3 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_141]) ).
thf(zip_derived_cl21_118,plain,
( ( op @ e2 @ e3 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl569,plain,
( zip_tseitin_10
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl21]) ).
thf(zip_derived_cl570,plain,
zip_tseitin_10,
inference(simplify,[status(thm)],[zip_derived_cl569]) ).
thf(zip_derived_cl82,plain,
( zip_tseitin_9
| ( ( op @ e4 @ e3 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_143]) ).
thf(zip_derived_cl452_119,plain,
( ( op @ e4 @ e3 )
= unit ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl35]) ).
thf(zip_derived_cl35_120,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl557,plain,
( zip_tseitin_9
| ( unit != unit ) ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl452,zip_derived_cl35]) ).
thf(zip_derived_cl558,plain,
zip_tseitin_9,
inference(simplify,[status(thm)],[zip_derived_cl557]) ).
thf(zip_derived_cl77,plain,
( zip_tseitin_8
| ( ( op @ e3 @ e4 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_145]) ).
thf(zip_derived_cl454_121,plain,
( ( op @ e3 @ e4 )
= unit ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl35]) ).
thf(zip_derived_cl35_122,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl547,plain,
( zip_tseitin_8
| ( unit != unit ) ),
inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl454,zip_derived_cl35]) ).
thf(zip_derived_cl548,plain,
zip_tseitin_8,
inference(simplify,[status(thm)],[zip_derived_cl547]) ).
thf(zip_derived_cl73,plain,
( zip_tseitin_7
| ( ( op @ e4 @ e2 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_147]) ).
thf(zip_derived_cl12_123,plain,
( ( op @ e4 @ e2 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl539,plain,
( zip_tseitin_7
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl12]) ).
thf(zip_derived_cl540,plain,
zip_tseitin_7,
inference(simplify,[status(thm)],[zip_derived_cl539]) ).
thf(zip_derived_cl68,plain,
( zip_tseitin_6
| ( ( op @ e2 @ e4 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_149]) ).
thf(zip_derived_cl20_124,plain,
( ( op @ e2 @ e4 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl529,plain,
( zip_tseitin_6
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl20]) ).
thf(zip_derived_cl530,plain,
zip_tseitin_6,
inference(simplify,[status(thm)],[zip_derived_cl529]) ).
thf(zip_derived_cl61,plain,
( zip_tseitin_5
| ( ( op @ e4 @ e4 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_151]) ).
thf(zip_derived_cl10_125,plain,
( ( op @ e4 @ e4 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl515,plain,
( zip_tseitin_5
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl10]) ).
thf(zip_derived_cl516,plain,
zip_tseitin_5,
inference(simplify,[status(thm)],[zip_derived_cl515]) ).
thf(zip_derived_cl56,plain,
( zip_tseitin_4
| ( ( op @ e4 @ e4 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_153]) ).
thf(zip_derived_cl10_126,plain,
( ( op @ e4 @ e4 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl505,plain,
( zip_tseitin_4
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl10]) ).
thf(zip_derived_cl506,plain,
zip_tseitin_4,
inference(simplify,[status(thm)],[zip_derived_cl505]) ).
thf(zip_derived_cl54,plain,
( zip_tseitin_3
| ( ( op @ e4 @ e1 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_155]) ).
thf(zip_derived_cl13_127,plain,
( ( op @ e4 @ e1 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl501,plain,
( zip_tseitin_3
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl13]) ).
thf(zip_derived_cl502,plain,
zip_tseitin_3,
inference(simplify,[status(thm)],[zip_derived_cl501]) ).
thf(zip_derived_cl49,plain,
( zip_tseitin_2
| ( ( op @ e1 @ e4 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_157]) ).
thf(zip_derived_cl25_128,plain,
( ( op @ e1 @ e4 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl491,plain,
( zip_tseitin_2
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl25]) ).
thf(zip_derived_cl492,plain,
zip_tseitin_2,
inference(simplify,[status(thm)],[zip_derived_cl491]) ).
thf(zip_derived_cl45,plain,
( zip_tseitin_1
| ( ( op @ e4 @ e0 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_159]) ).
thf(zip_derived_cl35_129,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl453_130,plain,
( ( op @ e4 @ unit )
= e4 ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl35]) ).
thf(zip_derived_cl483,plain,
( zip_tseitin_1
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl35,zip_derived_cl453]) ).
thf(zip_derived_cl484,plain,
zip_tseitin_1,
inference(simplify,[status(thm)],[zip_derived_cl483]) ).
thf(zip_derived_cl40,plain,
( zip_tseitin_0
| ( ( op @ e0 @ e4 )
!= e4 ) ),
inference(cnf,[status(esa)],[zf_stmt_161]) ).
thf(zip_derived_cl35_131,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl460_132,plain,
( ( op @ unit @ e4 )
= e4 ),
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl35]) ).
thf(zip_derived_cl473,plain,
( zip_tseitin_0
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl35,zip_derived_cl460]) ).
thf(zip_derived_cl474,plain,
zip_tseitin_0,
inference(simplify,[status(thm)],[zip_derived_cl473]) ).
thf(zip_derived_cl1265,plain,
( ( unit != unit )
| ( unit != unit )
| ( e1 != e1 )
| ( e1 != e1 )
| ( e2 != e2 )
| ( e2 != e2 )
| ( e3 != e3 )
| ( e3 != e3 )
| ( e4 != e4 )
| ( e4 != e4 ) ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl1264,zip_derived_cl1248,zip_derived_cl1236,zip_derived_cl1230,zip_derived_cl1222,zip_derived_cl1214,zip_derived_cl1202,zip_derived_cl1190,zip_derived_cl1178,zip_derived_cl1166,zip_derived_cl1162,zip_derived_cl1146,zip_derived_cl1144,zip_derived_cl1130,zip_derived_cl1118,zip_derived_cl1110,zip_derived_cl1104,zip_derived_cl1088,zip_derived_cl1076,zip_derived_cl1072,zip_derived_cl1058,zip_derived_cl1050,zip_derived_cl1036,zip_derived_cl1032,zip_derived_cl1024,zip_derived_cl1006,zip_derived_cl998,zip_derived_cl992,zip_derived_cl984,zip_derived_cl970,zip_derived_cl35,zip_derived_cl464,zip_derived_cl35,zip_derived_cl35,zip_derived_cl464,zip_derived_cl35,zip_derived_cl463,zip_derived_cl459,zip_derived_cl462,zip_derived_cl457,zip_derived_cl461,zip_derived_cl455,zip_derived_cl460,zip_derived_cl453,zip_derived_cl451,zip_derived_cl964,zip_derived_cl954,zip_derived_cl942,zip_derived_cl932,zip_derived_cl920,zip_derived_cl910,zip_derived_cl898,zip_derived_cl888,zip_derived_cl876,zip_derived_cl866,zip_derived_cl860,zip_derived_cl850,zip_derived_cl844,zip_derived_cl834,zip_derived_cl818,zip_derived_cl808,zip_derived_cl796,zip_derived_cl786,zip_derived_cl782,zip_derived_cl772,zip_derived_cl762,zip_derived_cl752,zip_derived_cl736,zip_derived_cl726,zip_derived_cl724,zip_derived_cl714,zip_derived_cl700,zip_derived_cl690,zip_derived_cl678,zip_derived_cl668,zip_derived_cl656,zip_derived_cl646,zip_derived_cl638,zip_derived_cl628,zip_derived_cl622,zip_derived_cl612,zip_derived_cl604,zip_derived_cl594,zip_derived_cl580,zip_derived_cl570,zip_derived_cl558,zip_derived_cl548,zip_derived_cl540,zip_derived_cl530,zip_derived_cl516,zip_derived_cl506,zip_derived_cl502,zip_derived_cl492,zip_derived_cl484,zip_derived_cl474]) ).
thf(zip_derived_cl1266,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG090+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.u0hrjACJnX true
% 0.13/0.35 % Computer : n021.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 04:42:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/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
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.79/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.87 % Solved by fo/fo5.sh.
% 1.31/0.87 % done 441 iterations in 0.094s
% 1.31/0.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.31/0.87 % SZS output start Refutation
% See solution above
% 1.31/0.88
% 1.31/0.88
% 1.31/0.88 % Terminating...
% 1.98/0.96 % Runner terminated.
% 1.98/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------