TSTP Solution File: ALG043+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG043+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.LgGi4YD6W9 true

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 17:10:14 EDT 2023

% Result   : Theorem 1.10s 0.82s
% Output   : Refutation 1.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  172
% Syntax   : Number of formulae    :  457 ( 182 unt; 114 typ;   0 def)
%            Number of atoms       : 1078 ( 716 equ;   0 cnn)
%            Maximal formula atoms :  220 (   3 avg)
%            Number of connectives : 2081 ( 174   ~; 471   |; 210   &;1172   @)
%                                         (   0 <=>;  54  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   64 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   62 (  60 usr;  60 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(unit_type,type,
    unit: $i ).

thf(zip_tseitin_9_type,type,
    zip_tseitin_9: $o ).

thf(zip_tseitin_15_type,type,
    zip_tseitin_15: $o ).

thf(zip_tseitin_40_type,type,
    zip_tseitin_40: $o ).

thf(zip_tseitin_48_type,type,
    zip_tseitin_48: $o ).

thf(zip_tseitin_41_type,type,
    zip_tseitin_41: $o ).

thf(zip_tseitin_44_type,type,
    zip_tseitin_44: $o ).

thf(zip_tseitin_34_type,type,
    zip_tseitin_34: $o ).

thf(zip_tseitin_18_type,type,
    zip_tseitin_18: $o ).

thf(zip_tseitin_47_type,type,
    zip_tseitin_47: $o ).

thf(op_type,type,
    op: $i > $i > $i ).

thf(zip_tseitin_27_type,type,
    zip_tseitin_27: $o ).

thf(zip_tseitin_2_type,type,
    zip_tseitin_2: $o ).

thf(zip_tseitin_10_type,type,
    zip_tseitin_10: $o ).

thf(zip_tseitin_33_type,type,
    zip_tseitin_33: $o ).

thf(zip_tseitin_42_type,type,
    zip_tseitin_42: $o ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $o ).

thf(zip_tseitin_4_type,type,
    zip_tseitin_4: $o ).

thf(zip_tseitin_32_type,type,
    zip_tseitin_32: $o ).

thf(zip_tseitin_19_type,type,
    zip_tseitin_19: $o ).

thf(zip_tseitin_7_type,type,
    zip_tseitin_7: $o ).

thf(zip_tseitin_43_type,type,
    zip_tseitin_43: $o ).

thf(zip_tseitin_5_type,type,
    zip_tseitin_5: $o ).

thf(e3_type,type,
    e3: $i ).

thf(zip_tseitin_50_type,type,
    zip_tseitin_50: $o ).

thf(zip_tseitin_22_type,type,
    zip_tseitin_22: $o ).

thf(zip_tseitin_37_type,type,
    zip_tseitin_37: $o ).

thf(zip_tseitin_46_type,type,
    zip_tseitin_46: $o ).

thf(zip_tseitin_16_type,type,
    zip_tseitin_16: $o ).

thf(zip_tseitin_52_type,type,
    zip_tseitin_52: $o ).

thf(zip_tseitin_39_type,type,
    zip_tseitin_39: $o ).

thf(zip_tseitin_51_type,type,
    zip_tseitin_51: $o ).

thf(zip_tseitin_36_type,type,
    zip_tseitin_36: $o ).

thf(zip_tseitin_14_type,type,
    zip_tseitin_14: $o ).

thf(e2_type,type,
    e2: $i ).

thf(zip_tseitin_53_type,type,
    zip_tseitin_53: $o ).

thf(zip_tseitin_31_type,type,
    zip_tseitin_31: $o ).

thf(e1_type,type,
    e1: $i ).

thf(zip_tseitin_8_type,type,
    zip_tseitin_8: $o ).

thf(zip_tseitin_26_type,type,
    zip_tseitin_26: $o ).

thf(zip_tseitin_35_type,type,
    zip_tseitin_35: $o ).

thf(zip_tseitin_29_type,type,
    zip_tseitin_29: $o ).

thf(zip_tseitin_12_type,type,
    zip_tseitin_12: $o ).

thf(zip_tseitin_49_type,type,
    zip_tseitin_49: $o ).

thf(e0_type,type,
    e0: $i ).

thf(zip_tseitin_45_type,type,
    zip_tseitin_45: $o ).

thf(zip_tseitin_23_type,type,
    zip_tseitin_23: $o ).

thf(zip_tseitin_24_type,type,
    zip_tseitin_24: $o ).

thf(zip_tseitin_30_type,type,
    zip_tseitin_30: $o ).

thf(zip_tseitin_20_type,type,
    zip_tseitin_20: $o ).

thf(zip_tseitin_6_type,type,
    zip_tseitin_6: $o ).

thf(zip_tseitin_13_type,type,
    zip_tseitin_13: $o ).

thf(zip_tseitin_11_type,type,
    zip_tseitin_11: $o ).

thf(zip_tseitin_3_type,type,
    zip_tseitin_3: $o ).

thf(zip_tseitin_38_type,type,
    zip_tseitin_38: $o ).

thf(zip_tseitin_28_type,type,
    zip_tseitin_28: $o ).

thf(zip_tseitin_21_type,type,
    zip_tseitin_21: $o ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $o ).

thf(zip_tseitin_25_type,type,
    zip_tseitin_25: $o ).

thf(zip_tseitin_17_type,type,
    zip_tseitin_17: $o ).

thf(co1,conjecture,
    ( ( ( ( op @ e0 @ e3 )
        = e3 )
      | ( ( op @ e1 @ e3 )
        = e3 )
      | ( ( op @ e2 @ e3 )
        = e3 )
      | ( ( op @ e3 @ e3 )
        = e3 ) )
    & ( ( ( op @ e3 @ e0 )
        = e3 )
      | ( ( op @ e3 @ e1 )
        = e3 )
      | ( ( op @ e3 @ e2 )
        = e3 )
      | ( ( op @ e3 @ e3 )
        = e3 ) )
    & ( ( ( op @ e0 @ e3 )
        = e2 )
      | ( ( op @ e1 @ e3 )
        = e2 )
      | ( ( op @ e2 @ e3 )
        = e2 )
      | ( ( op @ e3 @ e3 )
        = e2 ) )
    & ( ( ( op @ e3 @ e0 )
        = e2 )
      | ( ( op @ e3 @ e1 )
        = e2 )
      | ( ( op @ e3 @ e2 )
        = e2 )
      | ( ( op @ e3 @ e3 )
        = e2 ) )
    & ( ( ( op @ e0 @ e3 )
        = e1 )
      | ( ( op @ e1 @ e3 )
        = e1 )
      | ( ( op @ e2 @ e3 )
        = e1 )
      | ( ( op @ e3 @ e3 )
        = e1 ) )
    & ( ( ( op @ e3 @ e0 )
        = e1 )
      | ( ( op @ e3 @ e1 )
        = e1 )
      | ( ( op @ e3 @ e2 )
        = e1 )
      | ( ( op @ e3 @ e3 )
        = e1 ) )
    & ( ( ( op @ e0 @ e3 )
        = e0 )
      | ( ( op @ e1 @ e3 )
        = e0 )
      | ( ( op @ e2 @ e3 )
        = e0 )
      | ( ( op @ e3 @ e3 )
        = e0 ) )
    & ( ( ( op @ e3 @ e0 )
        = e0 )
      | ( ( op @ e3 @ e1 )
        = e0 )
      | ( ( op @ e3 @ e2 )
        = e0 )
      | ( ( op @ e3 @ e3 )
        = e0 ) )
    & ( ( ( op @ e0 @ e2 )
        = e3 )
      | ( ( op @ e1 @ e2 )
        = e3 )
      | ( ( op @ e2 @ e2 )
        = e3 )
      | ( ( op @ e3 @ e2 )
        = e3 ) )
    & ( ( ( op @ e2 @ e0 )
        = e3 )
      | ( ( op @ e2 @ e1 )
        = e3 )
      | ( ( op @ e2 @ e2 )
        = e3 )
      | ( ( op @ e2 @ e3 )
        = e3 ) )
    & ( ( ( op @ e0 @ e2 )
        = e2 )
      | ( ( op @ e1 @ e2 )
        = e2 )
      | ( ( op @ e2 @ e2 )
        = e2 )
      | ( ( op @ e3 @ e2 )
        = e2 ) )
    & ( ( ( op @ e2 @ e0 )
        = e2 )
      | ( ( op @ e2 @ e1 )
        = e2 )
      | ( ( op @ e2 @ e2 )
        = e2 )
      | ( ( op @ e2 @ e3 )
        = e2 ) )
    & ( ( ( op @ e0 @ e2 )
        = e1 )
      | ( ( op @ e1 @ e2 )
        = e1 )
      | ( ( op @ e2 @ e2 )
        = e1 )
      | ( ( op @ e3 @ e2 )
        = e1 ) )
    & ( ( ( op @ e2 @ e0 )
        = e1 )
      | ( ( op @ e2 @ e1 )
        = e1 )
      | ( ( op @ e2 @ e2 )
        = e1 )
      | ( ( op @ e2 @ e3 )
        = e1 ) )
    & ( ( ( op @ e0 @ e2 )
        = e0 )
      | ( ( op @ e1 @ e2 )
        = e0 )
      | ( ( op @ e2 @ e2 )
        = e0 )
      | ( ( op @ e3 @ e2 )
        = e0 ) )
    & ( ( ( op @ e2 @ e0 )
        = e0 )
      | ( ( op @ e2 @ e1 )
        = e0 )
      | ( ( op @ e2 @ e2 )
        = e0 )
      | ( ( op @ e2 @ e3 )
        = e0 ) )
    & ( ( ( op @ e0 @ e1 )
        = e3 )
      | ( ( op @ e1 @ e1 )
        = e3 )
      | ( ( op @ e2 @ e1 )
        = e3 )
      | ( ( op @ e3 @ e1 )
        = e3 ) )
    & ( ( ( op @ e1 @ e0 )
        = e3 )
      | ( ( op @ e1 @ e1 )
        = e3 )
      | ( ( op @ e1 @ e2 )
        = e3 )
      | ( ( op @ e1 @ e3 )
        = e3 ) )
    & ( ( ( op @ e0 @ e1 )
        = e2 )
      | ( ( op @ e1 @ e1 )
        = e2 )
      | ( ( op @ e2 @ e1 )
        = e2 )
      | ( ( op @ e3 @ e1 )
        = e2 ) )
    & ( ( ( op @ e1 @ e0 )
        = e2 )
      | ( ( op @ e1 @ e1 )
        = e2 )
      | ( ( op @ e1 @ e2 )
        = e2 )
      | ( ( op @ e1 @ e3 )
        = e2 ) )
    & ( ( ( op @ e0 @ e1 )
        = e1 )
      | ( ( op @ e1 @ e1 )
        = e1 )
      | ( ( op @ e2 @ e1 )
        = e1 )
      | ( ( op @ e3 @ e1 )
        = e1 ) )
    & ( ( ( op @ e1 @ e0 )
        = e1 )
      | ( ( op @ e1 @ e1 )
        = e1 )
      | ( ( op @ e1 @ e2 )
        = e1 )
      | ( ( op @ e1 @ e3 )
        = e1 ) )
    & ( ( ( op @ e0 @ e1 )
        = e0 )
      | ( ( op @ e1 @ e1 )
        = e0 )
      | ( ( op @ e2 @ e1 )
        = e0 )
      | ( ( op @ e3 @ e1 )
        = e0 ) )
    & ( ( ( op @ e1 @ e0 )
        = e0 )
      | ( ( op @ e1 @ e1 )
        = e0 )
      | ( ( op @ e1 @ e2 )
        = e0 )
      | ( ( op @ e1 @ e3 )
        = e0 ) )
    & ( ( ( op @ e0 @ e0 )
        = e3 )
      | ( ( op @ e1 @ e0 )
        = e3 )
      | ( ( op @ e2 @ e0 )
        = e3 )
      | ( ( op @ e3 @ e0 )
        = e3 ) )
    & ( ( ( op @ e0 @ e0 )
        = e3 )
      | ( ( op @ e0 @ e1 )
        = e3 )
      | ( ( op @ e0 @ e2 )
        = e3 )
      | ( ( op @ e0 @ e3 )
        = e3 ) )
    & ( ( ( op @ e0 @ e0 )
        = e2 )
      | ( ( op @ e1 @ e0 )
        = e2 )
      | ( ( op @ e2 @ e0 )
        = e2 )
      | ( ( op @ e3 @ e0 )
        = e2 ) )
    & ( ( ( op @ e0 @ e0 )
        = e2 )
      | ( ( op @ e0 @ e1 )
        = e2 )
      | ( ( op @ e0 @ e2 )
        = e2 )
      | ( ( op @ e0 @ e3 )
        = e2 ) )
    & ( ( ( op @ e0 @ e0 )
        = e1 )
      | ( ( op @ e1 @ e0 )
        = e1 )
      | ( ( op @ e2 @ e0 )
        = e1 )
      | ( ( op @ e3 @ e0 )
        = e1 ) )
    & ( ( ( op @ e0 @ e0 )
        = e1 )
      | ( ( op @ e0 @ e1 )
        = e1 )
      | ( ( op @ e0 @ e2 )
        = e1 )
      | ( ( op @ e0 @ e3 )
        = e1 ) )
    & ( ( ( op @ e0 @ e0 )
        = e0 )
      | ( ( op @ e1 @ e0 )
        = e0 )
      | ( ( op @ e2 @ e0 )
        = e0 )
      | ( ( op @ e3 @ e0 )
        = e0 ) )
    & ( ( ( op @ e0 @ e0 )
        = e0 )
      | ( ( op @ e0 @ e1 )
        = e0 )
      | ( ( op @ e0 @ e2 )
        = e0 )
      | ( ( op @ e0 @ e3 )
        = e0 ) )
    & ( ( unit = e0 )
      | ( unit = e1 )
      | ( unit = e2 )
      | ( unit = e3 ) )
    & ( ( 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 @ e3 @ e3 )
        = e0 )
      | ( ( op @ e3 @ e3 )
        = e1 )
      | ( ( op @ e3 @ e3 )
        = e2 )
      | ( ( op @ e3 @ e3 )
        = e3 ) )
    & ( ( ( op @ e3 @ e2 )
        = e0 )
      | ( ( op @ e3 @ e2 )
        = e1 )
      | ( ( op @ e3 @ e2 )
        = e2 )
      | ( ( op @ e3 @ e2 )
        = e3 ) )
    & ( ( ( op @ e3 @ e1 )
        = e0 )
      | ( ( op @ e3 @ e1 )
        = e1 )
      | ( ( op @ e3 @ e1 )
        = e2 )
      | ( ( op @ e3 @ e1 )
        = e3 ) )
    & ( ( ( op @ e3 @ e0 )
        = e0 )
      | ( ( op @ e3 @ e0 )
        = e1 )
      | ( ( op @ e3 @ e0 )
        = e2 )
      | ( ( op @ e3 @ e0 )
        = e3 ) )
    & ( ( ( op @ e2 @ e3 )
        = e0 )
      | ( ( op @ e2 @ e3 )
        = e1 )
      | ( ( op @ e2 @ e3 )
        = e2 )
      | ( ( op @ e2 @ e3 )
        = e3 ) )
    & ( ( ( op @ e2 @ e2 )
        = e0 )
      | ( ( op @ e2 @ e2 )
        = e1 )
      | ( ( op @ e2 @ e2 )
        = e2 )
      | ( ( op @ e2 @ e2 )
        = e3 ) )
    & ( ( ( op @ e2 @ e1 )
        = e0 )
      | ( ( op @ e2 @ e1 )
        = e1 )
      | ( ( op @ e2 @ e1 )
        = e2 )
      | ( ( op @ e2 @ e1 )
        = e3 ) )
    & ( ( ( op @ e2 @ e0 )
        = e0 )
      | ( ( op @ e2 @ e0 )
        = e1 )
      | ( ( op @ e2 @ e0 )
        = e2 )
      | ( ( op @ e2 @ e0 )
        = e3 ) )
    & ( ( ( op @ e1 @ e3 )
        = e0 )
      | ( ( op @ e1 @ e3 )
        = e1 )
      | ( ( op @ e1 @ e3 )
        = e2 )
      | ( ( op @ e1 @ e3 )
        = e3 ) )
    & ( ( ( op @ e1 @ e2 )
        = e0 )
      | ( ( op @ e1 @ e2 )
        = e1 )
      | ( ( op @ e1 @ e2 )
        = e2 )
      | ( ( op @ e1 @ e2 )
        = e3 ) )
    & ( ( ( op @ e1 @ e1 )
        = e0 )
      | ( ( op @ e1 @ e1 )
        = e1 )
      | ( ( op @ e1 @ e1 )
        = e2 )
      | ( ( op @ e1 @ e1 )
        = e3 ) )
    & ( ( ( op @ e1 @ e0 )
        = e0 )
      | ( ( op @ e1 @ e0 )
        = e1 )
      | ( ( op @ e1 @ e0 )
        = e2 )
      | ( ( op @ e1 @ e0 )
        = e3 ) )
    & ( ( ( op @ e0 @ e3 )
        = e0 )
      | ( ( op @ e0 @ e3 )
        = e1 )
      | ( ( op @ e0 @ e3 )
        = e2 )
      | ( ( op @ e0 @ e3 )
        = e3 ) )
    & ( ( ( op @ e0 @ e2 )
        = e0 )
      | ( ( op @ e0 @ e2 )
        = e1 )
      | ( ( op @ e0 @ e2 )
        = e2 )
      | ( ( op @ e0 @ e2 )
        = e3 ) )
    & ( ( ( op @ e0 @ e1 )
        = e0 )
      | ( ( op @ e0 @ e1 )
        = e1 )
      | ( ( op @ e0 @ e1 )
        = e2 )
      | ( ( op @ e0 @ e1 )
        = e3 ) )
    & ( ( ( op @ e0 @ e0 )
        = e0 )
      | ( ( op @ e0 @ e0 )
        = e1 )
      | ( ( op @ e0 @ e0 )
        = e2 )
      | ( ( op @ e0 @ e0 )
        = e3 ) )
    & ( ( ( ( op @ e0 @ e0 )
          = e0 )
        & ( ( op @ e1 @ e1 )
          = e0 )
        & ( ( op @ e2 @ e2 )
          = e0 )
        & ( ( op @ e3 @ e3 )
          = e0 ) )
      | ( ( ( op @ e0 @ e0 )
          = e1 )
        & ( ( op @ e1 @ e1 )
          = e1 )
        & ( ( op @ e2 @ e2 )
          = e1 )
        & ( ( op @ e3 @ e3 )
          = e1 ) )
      | ( ( ( op @ e0 @ e0 )
          = e2 )
        & ( ( op @ e1 @ e1 )
          = e2 )
        & ( ( op @ e2 @ e2 )
          = e2 )
        & ( ( op @ e3 @ e3 )
          = e2 ) )
      | ( ( ( op @ e0 @ e0 )
          = e3 )
        & ( ( op @ e1 @ e1 )
          = e3 )
        & ( ( op @ e2 @ e2 )
          = e3 )
        & ( ( op @ e3 @ e3 )
          = e3 ) ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_53: $o ).

thf(zf_stmt_1,axiom,
    ( ( zip_tseitin_52
      | zip_tseitin_51
      | zip_tseitin_50
      | zip_tseitin_49 )
   => zip_tseitin_53 ) ).

thf(zf_stmt_2,type,
    zip_tseitin_52: $o ).

thf(zf_stmt_3,axiom,
    ( ( ( ( op @ e3 @ e3 )
        = e3 )
      & ( ( op @ e2 @ e2 )
        = e3 )
      & ( ( op @ e1 @ e1 )
        = e3 )
      & ( ( op @ e0 @ e0 )
        = e3 ) )
   => zip_tseitin_52 ) ).

thf(zf_stmt_4,type,
    zip_tseitin_51: $o ).

thf(zf_stmt_5,axiom,
    ( ( ( ( op @ e3 @ e3 )
        = e2 )
      & ( ( op @ e2 @ e2 )
        = e2 )
      & ( ( op @ e1 @ e1 )
        = e2 )
      & ( ( op @ e0 @ e0 )
        = e2 ) )
   => zip_tseitin_51 ) ).

thf(zf_stmt_6,type,
    zip_tseitin_50: $o ).

thf(zf_stmt_7,axiom,
    ( ( ( ( op @ e3 @ e3 )
        = e1 )
      & ( ( op @ e2 @ e2 )
        = e1 )
      & ( ( op @ e1 @ e1 )
        = e1 )
      & ( ( op @ e0 @ e0 )
        = e1 ) )
   => zip_tseitin_50 ) ).

thf(zf_stmt_8,type,
    zip_tseitin_49: $o ).

thf(zf_stmt_9,axiom,
    ( ( ( ( op @ e3 @ e3 )
        = e0 )
      & ( ( op @ e2 @ e2 )
        = e0 )
      & ( ( op @ e1 @ e1 )
        = e0 )
      & ( ( op @ e0 @ e0 )
        = e0 ) )
   => zip_tseitin_49 ) ).

thf(zf_stmt_10,type,
    zip_tseitin_48: $o ).

thf(zf_stmt_11,axiom,
    ( ( ( ( op @ e0 @ e0 )
        = e3 )
      | ( ( op @ e0 @ e0 )
        = e2 )
      | ( ( op @ e0 @ e0 )
        = e1 )
      | ( ( op @ e0 @ e0 )
        = e0 ) )
   => zip_tseitin_48 ) ).

thf(zf_stmt_12,type,
    zip_tseitin_47: $o ).

thf(zf_stmt_13,axiom,
    ( ( ( ( op @ e0 @ e1 )
        = e3 )
      | ( ( op @ e0 @ e1 )
        = e2 )
      | ( ( op @ e0 @ e1 )
        = e1 )
      | ( ( op @ e0 @ e1 )
        = e0 ) )
   => zip_tseitin_47 ) ).

thf(zf_stmt_14,type,
    zip_tseitin_46: $o ).

thf(zf_stmt_15,axiom,
    ( ( ( ( op @ e0 @ e2 )
        = e3 )
      | ( ( op @ e0 @ e2 )
        = e2 )
      | ( ( op @ e0 @ e2 )
        = e1 )
      | ( ( op @ e0 @ e2 )
        = e0 ) )
   => zip_tseitin_46 ) ).

thf(zf_stmt_16,type,
    zip_tseitin_45: $o ).

thf(zf_stmt_17,axiom,
    ( ( ( ( op @ e0 @ e3 )
        = e3 )
      | ( ( op @ e0 @ e3 )
        = e2 )
      | ( ( op @ e0 @ e3 )
        = e1 )
      | ( ( op @ e0 @ e3 )
        = e0 ) )
   => zip_tseitin_45 ) ).

thf(zf_stmt_18,type,
    zip_tseitin_44: $o ).

thf(zf_stmt_19,axiom,
    ( ( ( ( op @ e1 @ e0 )
        = e3 )
      | ( ( op @ e1 @ e0 )
        = e2 )
      | ( ( op @ e1 @ e0 )
        = e1 )
      | ( ( op @ e1 @ e0 )
        = e0 ) )
   => zip_tseitin_44 ) ).

thf(zf_stmt_20,type,
    zip_tseitin_43: $o ).

thf(zf_stmt_21,axiom,
    ( ( ( ( op @ e1 @ e1 )
        = e3 )
      | ( ( op @ e1 @ e1 )
        = e2 )
      | ( ( op @ e1 @ e1 )
        = e1 )
      | ( ( op @ e1 @ e1 )
        = e0 ) )
   => zip_tseitin_43 ) ).

thf(zf_stmt_22,type,
    zip_tseitin_42: $o ).

thf(zf_stmt_23,axiom,
    ( ( ( ( op @ e1 @ e2 )
        = e3 )
      | ( ( op @ e1 @ e2 )
        = e2 )
      | ( ( op @ e1 @ e2 )
        = e1 )
      | ( ( op @ e1 @ e2 )
        = e0 ) )
   => zip_tseitin_42 ) ).

thf(zf_stmt_24,type,
    zip_tseitin_41: $o ).

thf(zf_stmt_25,axiom,
    ( ( ( ( op @ e1 @ e3 )
        = e3 )
      | ( ( op @ e1 @ e3 )
        = e2 )
      | ( ( op @ e1 @ e3 )
        = e1 )
      | ( ( op @ e1 @ e3 )
        = e0 ) )
   => zip_tseitin_41 ) ).

thf(zf_stmt_26,type,
    zip_tseitin_40: $o ).

thf(zf_stmt_27,axiom,
    ( ( ( ( op @ e2 @ e0 )
        = e3 )
      | ( ( op @ e2 @ e0 )
        = e2 )
      | ( ( op @ e2 @ e0 )
        = e1 )
      | ( ( op @ e2 @ e0 )
        = e0 ) )
   => zip_tseitin_40 ) ).

thf(zf_stmt_28,type,
    zip_tseitin_39: $o ).

thf(zf_stmt_29,axiom,
    ( ( ( ( op @ e2 @ e1 )
        = e3 )
      | ( ( op @ e2 @ e1 )
        = e2 )
      | ( ( op @ e2 @ e1 )
        = e1 )
      | ( ( op @ e2 @ e1 )
        = e0 ) )
   => zip_tseitin_39 ) ).

thf(zf_stmt_30,type,
    zip_tseitin_38: $o ).

thf(zf_stmt_31,axiom,
    ( ( ( ( op @ e2 @ e2 )
        = e3 )
      | ( ( op @ e2 @ e2 )
        = e2 )
      | ( ( op @ e2 @ e2 )
        = e1 )
      | ( ( op @ e2 @ e2 )
        = e0 ) )
   => zip_tseitin_38 ) ).

thf(zf_stmt_32,type,
    zip_tseitin_37: $o ).

thf(zf_stmt_33,axiom,
    ( ( ( ( op @ e2 @ e3 )
        = e3 )
      | ( ( op @ e2 @ e3 )
        = e2 )
      | ( ( op @ e2 @ e3 )
        = e1 )
      | ( ( op @ e2 @ e3 )
        = e0 ) )
   => zip_tseitin_37 ) ).

thf(zf_stmt_34,type,
    zip_tseitin_36: $o ).

thf(zf_stmt_35,axiom,
    ( ( ( ( op @ e3 @ e0 )
        = e3 )
      | ( ( op @ e3 @ e0 )
        = e2 )
      | ( ( op @ e3 @ e0 )
        = e1 )
      | ( ( op @ e3 @ e0 )
        = e0 ) )
   => zip_tseitin_36 ) ).

thf(zf_stmt_36,type,
    zip_tseitin_35: $o ).

thf(zf_stmt_37,axiom,
    ( ( ( ( op @ e3 @ e1 )
        = e3 )
      | ( ( op @ e3 @ e1 )
        = e2 )
      | ( ( op @ e3 @ e1 )
        = e1 )
      | ( ( op @ e3 @ e1 )
        = e0 ) )
   => zip_tseitin_35 ) ).

thf(zf_stmt_38,type,
    zip_tseitin_34: $o ).

thf(zf_stmt_39,axiom,
    ( ( ( ( op @ e3 @ e2 )
        = e3 )
      | ( ( op @ e3 @ e2 )
        = e2 )
      | ( ( op @ e3 @ e2 )
        = e1 )
      | ( ( op @ e3 @ e2 )
        = e0 ) )
   => zip_tseitin_34 ) ).

thf(zf_stmt_40,type,
    zip_tseitin_33: $o ).

thf(zf_stmt_41,axiom,
    ( ( ( ( op @ e3 @ e3 )
        = e3 )
      | ( ( op @ e3 @ e3 )
        = e2 )
      | ( ( op @ e3 @ e3 )
        = e1 )
      | ( ( op @ e3 @ e3 )
        = e0 ) )
   => zip_tseitin_33 ) ).

thf(zf_stmt_42,type,
    zip_tseitin_32: $o ).

thf(zf_stmt_43,axiom,
    ( ( ( unit = e3 )
      | ( unit = e2 )
      | ( unit = e1 )
      | ( unit = e0 ) )
   => zip_tseitin_32 ) ).

thf(zf_stmt_44,type,
    zip_tseitin_31: $o ).

thf(zf_stmt_45,axiom,
    ( ( ( ( op @ e0 @ e3 )
        = e0 )
      | ( ( op @ e0 @ e2 )
        = e0 )
      | ( ( op @ e0 @ e1 )
        = e0 )
      | ( ( op @ e0 @ e0 )
        = e0 ) )
   => zip_tseitin_31 ) ).

thf(zf_stmt_46,type,
    zip_tseitin_30: $o ).

thf(zf_stmt_47,axiom,
    ( ( ( ( op @ e3 @ e0 )
        = e0 )
      | ( ( op @ e2 @ e0 )
        = e0 )
      | ( ( op @ e1 @ e0 )
        = e0 )
      | ( ( op @ e0 @ e0 )
        = e0 ) )
   => zip_tseitin_30 ) ).

thf(zf_stmt_48,type,
    zip_tseitin_29: $o ).

thf(zf_stmt_49,axiom,
    ( ( ( ( op @ e0 @ e3 )
        = e1 )
      | ( ( op @ e0 @ e2 )
        = e1 )
      | ( ( op @ e0 @ e1 )
        = e1 )
      | ( ( op @ e0 @ e0 )
        = e1 ) )
   => zip_tseitin_29 ) ).

thf(zf_stmt_50,type,
    zip_tseitin_28: $o ).

thf(zf_stmt_51,axiom,
    ( ( ( ( op @ e3 @ e0 )
        = e1 )
      | ( ( op @ e2 @ e0 )
        = e1 )
      | ( ( op @ e1 @ e0 )
        = e1 )
      | ( ( op @ e0 @ e0 )
        = e1 ) )
   => zip_tseitin_28 ) ).

thf(zf_stmt_52,type,
    zip_tseitin_27: $o ).

thf(zf_stmt_53,axiom,
    ( ( ( ( op @ e0 @ e3 )
        = e2 )
      | ( ( op @ e0 @ e2 )
        = e2 )
      | ( ( op @ e0 @ e1 )
        = e2 )
      | ( ( op @ e0 @ e0 )
        = e2 ) )
   => zip_tseitin_27 ) ).

thf(zf_stmt_54,type,
    zip_tseitin_26: $o ).

thf(zf_stmt_55,axiom,
    ( ( ( ( op @ e3 @ e0 )
        = e2 )
      | ( ( op @ e2 @ e0 )
        = e2 )
      | ( ( op @ e1 @ e0 )
        = e2 )
      | ( ( op @ e0 @ e0 )
        = e2 ) )
   => zip_tseitin_26 ) ).

thf(zf_stmt_56,type,
    zip_tseitin_25: $o ).

thf(zf_stmt_57,axiom,
    ( ( ( ( op @ e0 @ e3 )
        = e3 )
      | ( ( op @ e0 @ e2 )
        = e3 )
      | ( ( op @ e0 @ e1 )
        = e3 )
      | ( ( op @ e0 @ e0 )
        = e3 ) )
   => zip_tseitin_25 ) ).

thf(zf_stmt_58,type,
    zip_tseitin_24: $o ).

thf(zf_stmt_59,axiom,
    ( ( ( ( op @ e3 @ e0 )
        = e3 )
      | ( ( op @ e2 @ e0 )
        = e3 )
      | ( ( op @ e1 @ e0 )
        = e3 )
      | ( ( op @ e0 @ e0 )
        = e3 ) )
   => zip_tseitin_24 ) ).

thf(zf_stmt_60,type,
    zip_tseitin_23: $o ).

thf(zf_stmt_61,axiom,
    ( ( ( ( op @ e1 @ e3 )
        = e0 )
      | ( ( op @ e1 @ e2 )
        = e0 )
      | ( ( op @ e1 @ e1 )
        = e0 )
      | ( ( op @ e1 @ e0 )
        = e0 ) )
   => zip_tseitin_23 ) ).

thf(zf_stmt_62,type,
    zip_tseitin_22: $o ).

thf(zf_stmt_63,axiom,
    ( ( ( ( op @ e3 @ e1 )
        = e0 )
      | ( ( op @ e2 @ e1 )
        = e0 )
      | ( ( op @ e1 @ e1 )
        = e0 )
      | ( ( op @ e0 @ e1 )
        = e0 ) )
   => zip_tseitin_22 ) ).

thf(zf_stmt_64,type,
    zip_tseitin_21: $o ).

thf(zf_stmt_65,axiom,
    ( ( ( ( op @ e1 @ e3 )
        = e1 )
      | ( ( op @ e1 @ e2 )
        = e1 )
      | ( ( op @ e1 @ e1 )
        = e1 )
      | ( ( op @ e1 @ e0 )
        = e1 ) )
   => zip_tseitin_21 ) ).

thf(zf_stmt_66,type,
    zip_tseitin_20: $o ).

thf(zf_stmt_67,axiom,
    ( ( ( ( op @ e3 @ e1 )
        = e1 )
      | ( ( op @ e2 @ e1 )
        = e1 )
      | ( ( op @ e1 @ e1 )
        = e1 )
      | ( ( op @ e0 @ e1 )
        = e1 ) )
   => zip_tseitin_20 ) ).

thf(zf_stmt_68,type,
    zip_tseitin_19: $o ).

thf(zf_stmt_69,axiom,
    ( ( ( ( op @ e1 @ e3 )
        = e2 )
      | ( ( op @ e1 @ e2 )
        = e2 )
      | ( ( op @ e1 @ e1 )
        = e2 )
      | ( ( op @ e1 @ e0 )
        = e2 ) )
   => zip_tseitin_19 ) ).

thf(zf_stmt_70,type,
    zip_tseitin_18: $o ).

thf(zf_stmt_71,axiom,
    ( ( ( ( op @ e3 @ e1 )
        = e2 )
      | ( ( op @ e2 @ e1 )
        = e2 )
      | ( ( op @ e1 @ e1 )
        = e2 )
      | ( ( op @ e0 @ e1 )
        = e2 ) )
   => zip_tseitin_18 ) ).

thf(zf_stmt_72,type,
    zip_tseitin_17: $o ).

thf(zf_stmt_73,axiom,
    ( ( ( ( op @ e1 @ e3 )
        = e3 )
      | ( ( op @ e1 @ e2 )
        = e3 )
      | ( ( op @ e1 @ e1 )
        = e3 )
      | ( ( op @ e1 @ e0 )
        = e3 ) )
   => zip_tseitin_17 ) ).

thf(zf_stmt_74,type,
    zip_tseitin_16: $o ).

thf(zf_stmt_75,axiom,
    ( ( ( ( op @ e3 @ e1 )
        = e3 )
      | ( ( op @ e2 @ e1 )
        = e3 )
      | ( ( op @ e1 @ e1 )
        = e3 )
      | ( ( op @ e0 @ e1 )
        = e3 ) )
   => zip_tseitin_16 ) ).

thf(zf_stmt_76,type,
    zip_tseitin_15: $o ).

thf(zf_stmt_77,axiom,
    ( ( ( ( op @ e2 @ e3 )
        = e0 )
      | ( ( op @ e2 @ e2 )
        = e0 )
      | ( ( op @ e2 @ e1 )
        = e0 )
      | ( ( op @ e2 @ e0 )
        = e0 ) )
   => zip_tseitin_15 ) ).

thf(zf_stmt_78,type,
    zip_tseitin_14: $o ).

thf(zf_stmt_79,axiom,
    ( ( ( ( op @ e3 @ e2 )
        = e0 )
      | ( ( op @ e2 @ e2 )
        = e0 )
      | ( ( op @ e1 @ e2 )
        = e0 )
      | ( ( op @ e0 @ e2 )
        = e0 ) )
   => zip_tseitin_14 ) ).

thf(zf_stmt_80,type,
    zip_tseitin_13: $o ).

thf(zf_stmt_81,axiom,
    ( ( ( ( op @ e2 @ e3 )
        = e1 )
      | ( ( op @ e2 @ e2 )
        = e1 )
      | ( ( op @ e2 @ e1 )
        = e1 )
      | ( ( op @ e2 @ e0 )
        = e1 ) )
   => zip_tseitin_13 ) ).

thf(zf_stmt_82,type,
    zip_tseitin_12: $o ).

thf(zf_stmt_83,axiom,
    ( ( ( ( op @ e3 @ e2 )
        = e1 )
      | ( ( op @ e2 @ e2 )
        = e1 )
      | ( ( op @ e1 @ e2 )
        = e1 )
      | ( ( op @ e0 @ e2 )
        = e1 ) )
   => zip_tseitin_12 ) ).

thf(zf_stmt_84,type,
    zip_tseitin_11: $o ).

thf(zf_stmt_85,axiom,
    ( ( ( ( op @ e2 @ e3 )
        = e2 )
      | ( ( op @ e2 @ e2 )
        = e2 )
      | ( ( op @ e2 @ e1 )
        = e2 )
      | ( ( op @ e2 @ e0 )
        = e2 ) )
   => zip_tseitin_11 ) ).

thf(zf_stmt_86,type,
    zip_tseitin_10: $o ).

thf(zf_stmt_87,axiom,
    ( ( ( ( op @ e3 @ e2 )
        = e2 )
      | ( ( op @ e2 @ e2 )
        = e2 )
      | ( ( op @ e1 @ e2 )
        = e2 )
      | ( ( op @ e0 @ e2 )
        = e2 ) )
   => zip_tseitin_10 ) ).

thf(zf_stmt_88,type,
    zip_tseitin_9: $o ).

thf(zf_stmt_89,axiom,
    ( ( ( ( op @ e2 @ e3 )
        = e3 )
      | ( ( op @ e2 @ e2 )
        = e3 )
      | ( ( op @ e2 @ e1 )
        = e3 )
      | ( ( op @ e2 @ e0 )
        = e3 ) )
   => zip_tseitin_9 ) ).

thf(zf_stmt_90,type,
    zip_tseitin_8: $o ).

thf(zf_stmt_91,axiom,
    ( ( ( ( op @ e3 @ e2 )
        = e3 )
      | ( ( op @ e2 @ e2 )
        = e3 )
      | ( ( op @ e1 @ e2 )
        = e3 )
      | ( ( op @ e0 @ e2 )
        = e3 ) )
   => zip_tseitin_8 ) ).

thf(zf_stmt_92,type,
    zip_tseitin_7: $o ).

thf(zf_stmt_93,axiom,
    ( ( ( ( op @ e3 @ e3 )
        = e0 )
      | ( ( op @ e3 @ e2 )
        = e0 )
      | ( ( op @ e3 @ e1 )
        = e0 )
      | ( ( op @ e3 @ e0 )
        = e0 ) )
   => zip_tseitin_7 ) ).

thf(zf_stmt_94,type,
    zip_tseitin_6: $o ).

thf(zf_stmt_95,axiom,
    ( ( ( ( op @ e3 @ e3 )
        = e0 )
      | ( ( op @ e2 @ e3 )
        = e0 )
      | ( ( op @ e1 @ e3 )
        = e0 )
      | ( ( op @ e0 @ e3 )
        = e0 ) )
   => zip_tseitin_6 ) ).

thf(zf_stmt_96,type,
    zip_tseitin_5: $o ).

thf(zf_stmt_97,axiom,
    ( ( ( ( op @ e3 @ e3 )
        = e1 )
      | ( ( op @ e3 @ e2 )
        = e1 )
      | ( ( op @ e3 @ e1 )
        = e1 )
      | ( ( op @ e3 @ e0 )
        = e1 ) )
   => zip_tseitin_5 ) ).

thf(zf_stmt_98,type,
    zip_tseitin_4: $o ).

thf(zf_stmt_99,axiom,
    ( ( ( ( op @ e3 @ e3 )
        = e1 )
      | ( ( op @ e2 @ e3 )
        = e1 )
      | ( ( op @ e1 @ e3 )
        = e1 )
      | ( ( op @ e0 @ e3 )
        = e1 ) )
   => zip_tseitin_4 ) ).

thf(zf_stmt_100,type,
    zip_tseitin_3: $o ).

thf(zf_stmt_101,axiom,
    ( ( ( ( op @ e3 @ e3 )
        = e2 )
      | ( ( op @ e3 @ e2 )
        = e2 )
      | ( ( op @ e3 @ e1 )
        = e2 )
      | ( ( op @ e3 @ e0 )
        = e2 ) )
   => zip_tseitin_3 ) ).

thf(zf_stmt_102,type,
    zip_tseitin_2: $o ).

thf(zf_stmt_103,axiom,
    ( ( ( ( op @ e3 @ e3 )
        = e2 )
      | ( ( op @ e2 @ e3 )
        = e2 )
      | ( ( op @ e1 @ e3 )
        = e2 )
      | ( ( op @ e0 @ e3 )
        = e2 ) )
   => zip_tseitin_2 ) ).

thf(zf_stmt_104,type,
    zip_tseitin_1: $o ).

thf(zf_stmt_105,axiom,
    ( ( ( ( op @ e3 @ e3 )
        = e3 )
      | ( ( op @ e3 @ e2 )
        = e3 )
      | ( ( op @ e3 @ e1 )
        = e3 )
      | ( ( op @ e3 @ e0 )
        = e3 ) )
   => zip_tseitin_1 ) ).

thf(zf_stmt_106,type,
    zip_tseitin_0: $o ).

thf(zf_stmt_107,axiom,
    ( ( ( ( op @ e3 @ e3 )
        = e3 )
      | ( ( op @ e2 @ e3 )
        = e3 )
      | ( ( op @ e1 @ e3 )
        = e3 )
      | ( ( op @ e0 @ e3 )
        = e3 ) )
   => zip_tseitin_0 ) ).

thf(zf_stmt_108,conjecture,
    ( zip_tseitin_53
    & 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
    & ( ( 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 )
    & 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_109,negated_conjecture,
    ~ ( zip_tseitin_53
      & 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
      & ( ( 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 )
      & 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_108]) ).

thf(zip_derived_cl227,plain,
    ( ~ zip_tseitin_53
    | ~ 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
    | ( ( 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 )
    | ~ 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_109]) ).

thf(zip_derived_cl226,plain,
    ( zip_tseitin_53
    | ~ zip_tseitin_49 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl219,plain,
    ( zip_tseitin_49
    | ( ( op @ e0 @ e0 )
     != e0 )
    | ( ( op @ e1 @ e1 )
     != e0 )
    | ( ( op @ e2 @ e2 )
     != e0 )
    | ( ( op @ e3 @ e3 )
     != e0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(ax3,axiom,
    unit = e0 ).

thf(zip_derived_cl22,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl22_001,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(ax2,axiom,
    ( ( ( op @ e3 @ e3 )
      = e0 )
    & ( ( op @ e3 @ e2 )
      = e1 )
    & ( ( op @ e3 @ e1 )
      = e2 )
    & ( ( op @ e3 @ e0 )
      = e3 )
    & ( ( op @ e2 @ e3 )
      = e1 )
    & ( ( op @ e2 @ e2 )
      = e0 )
    & ( ( op @ e2 @ e1 )
      = e3 )
    & ( ( op @ e2 @ e0 )
      = e2 )
    & ( ( op @ e1 @ e3 )
      = e2 )
    & ( ( op @ e1 @ e2 )
      = e3 )
    & ( ( op @ e1 @ e1 )
      = e0 )
    & ( ( op @ e1 @ e0 )
      = e1 )
    & ( ( op @ e0 @ e3 )
      = e3 )
    & ( ( op @ e0 @ e2 )
      = e2 )
    & ( ( op @ e0 @ e1 )
      = e1 )
    & ( ( op @ e0 @ e0 )
      = e0 ) ) ).

thf(zip_derived_cl21,plain,
    ( ( op @ e0 @ e0 )
    = e0 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl22_002,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl22_003,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl22_004,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl245,plain,
    ( ( op @ unit @ unit )
    = unit ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl22,zip_derived_cl22,zip_derived_cl22]) ).

thf(zip_derived_cl22_005,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl16,plain,
    ( ( op @ e1 @ e1 )
    = e0 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl22_006,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl240,plain,
    ( ( op @ e1 @ e1 )
    = unit ),
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl22]) ).

thf(zip_derived_cl22_007,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl11,plain,
    ( ( op @ e2 @ e2 )
    = e0 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl22_008,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl238,plain,
    ( ( op @ e2 @ e2 )
    = unit ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl22]) ).

thf(zip_derived_cl22_009,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl6,plain,
    ( ( op @ e3 @ e3 )
    = e0 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl22_010,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl231,plain,
    ( ( op @ e3 @ e3 )
    = unit ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl22]) ).

thf(zip_derived_cl22_011,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl630,plain,
    ( zip_tseitin_49
    | ( unit != unit )
    | ( unit != unit )
    | ( unit != unit )
    | ( unit != unit ) ),
    inference(demod,[status(thm)],[zip_derived_cl219,zip_derived_cl22,zip_derived_cl22,zip_derived_cl245,zip_derived_cl22,zip_derived_cl240,zip_derived_cl22,zip_derived_cl238,zip_derived_cl22,zip_derived_cl231,zip_derived_cl22]) ).

thf(zip_derived_cl631,plain,
    zip_tseitin_49,
    inference(simplify,[status(thm)],[zip_derived_cl630]) ).

thf(zip_derived_cl632,plain,
    zip_tseitin_53,
    inference(demod,[status(thm)],[zip_derived_cl226,zip_derived_cl631]) ).

thf(zip_derived_cl218,plain,
    ( zip_tseitin_48
    | ( ( op @ e0 @ e0 )
     != e0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_11]) ).

thf(zip_derived_cl22_012,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl22_013,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl245_014,plain,
    ( ( op @ unit @ unit )
    = unit ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl22,zip_derived_cl22,zip_derived_cl22]) ).

thf(zip_derived_cl22_015,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl628,plain,
    ( zip_tseitin_48
    | ( unit != unit ) ),
    inference(demod,[status(thm)],[zip_derived_cl218,zip_derived_cl22,zip_derived_cl22,zip_derived_cl245,zip_derived_cl22]) ).

thf(zip_derived_cl629,plain,
    zip_tseitin_48,
    inference(simplify,[status(thm)],[zip_derived_cl628]) ).

thf(zip_derived_cl213,plain,
    ( zip_tseitin_47
    | ( ( op @ e0 @ e1 )
     != e1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf(zip_derived_cl22_016,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl20,plain,
    ( ( op @ e0 @ e1 )
    = e1 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl22_017,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl244,plain,
    ( ( op @ unit @ e1 )
    = e1 ),
    inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl22]) ).

thf(zip_derived_cl618,plain,
    ( zip_tseitin_47
    | ( e1 != e1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl22,zip_derived_cl244]) ).

thf(zip_derived_cl619,plain,
    zip_tseitin_47,
    inference(simplify,[status(thm)],[zip_derived_cl618]) ).

thf(zip_derived_cl208,plain,
    ( zip_tseitin_46
    | ( ( op @ e0 @ e2 )
     != e2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_15]) ).

thf(zip_derived_cl22_018,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl19,plain,
    ( ( op @ e0 @ e2 )
    = e2 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl22_019,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl243,plain,
    ( ( op @ unit @ e2 )
    = e2 ),
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl22]) ).

thf(zip_derived_cl608,plain,
    ( zip_tseitin_46
    | ( e2 != e2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl208,zip_derived_cl22,zip_derived_cl243]) ).

thf(zip_derived_cl609,plain,
    zip_tseitin_46,
    inference(simplify,[status(thm)],[zip_derived_cl608]) ).

thf(zip_derived_cl203,plain,
    ( zip_tseitin_45
    | ( ( op @ e0 @ e3 )
     != e3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf(zip_derived_cl22_020,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl18,plain,
    ( ( op @ e0 @ e3 )
    = e3 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl22_021,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl242,plain,
    ( ( op @ unit @ e3 )
    = e3 ),
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl22]) ).

thf(zip_derived_cl598,plain,
    ( zip_tseitin_45
    | ( e3 != e3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl22,zip_derived_cl242]) ).

thf(zip_derived_cl599,plain,
    zip_tseitin_45,
    inference(simplify,[status(thm)],[zip_derived_cl598]) ).

thf(zip_derived_cl201,plain,
    ( zip_tseitin_44
    | ( ( op @ e1 @ e0 )
     != e1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_19]) ).

thf(zip_derived_cl22_022,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl17,plain,
    ( ( op @ e1 @ e0 )
    = e1 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl22_023,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl241,plain,
    ( ( op @ e1 @ unit )
    = e1 ),
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl22]) ).

thf(zip_derived_cl594,plain,
    ( zip_tseitin_44
    | ( e1 != e1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl22,zip_derived_cl241]) ).

thf(zip_derived_cl595,plain,
    zip_tseitin_44,
    inference(simplify,[status(thm)],[zip_derived_cl594]) ).

thf(zip_derived_cl198,plain,
    ( zip_tseitin_43
    | ( ( op @ e1 @ e1 )
     != e0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_21]) ).

thf(zip_derived_cl240_024,plain,
    ( ( op @ e1 @ e1 )
    = unit ),
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl22]) ).

thf(zip_derived_cl22_025,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl588,plain,
    ( zip_tseitin_43
    | ( unit != unit ) ),
    inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl240,zip_derived_cl22]) ).

thf(zip_derived_cl589,plain,
    zip_tseitin_43,
    inference(simplify,[status(thm)],[zip_derived_cl588]) ).

thf(zip_derived_cl191,plain,
    ( zip_tseitin_42
    | ( ( op @ e1 @ e2 )
     != e3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_23]) ).

thf(zip_derived_cl15,plain,
    ( ( op @ e1 @ e2 )
    = e3 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl574,plain,
    ( zip_tseitin_42
    | ( e3 != e3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl15]) ).

thf(zip_derived_cl575,plain,
    zip_tseitin_42,
    inference(simplify,[status(thm)],[zip_derived_cl574]) ).

thf(zip_derived_cl188,plain,
    ( zip_tseitin_41
    | ( ( op @ e1 @ e3 )
     != e2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_25]) ).

thf(zip_derived_cl14,plain,
    ( ( op @ e1 @ e3 )
    = e2 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl568,plain,
    ( zip_tseitin_41
    | ( e2 != e2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl14]) ).

thf(zip_derived_cl569,plain,
    zip_tseitin_41,
    inference(simplify,[status(thm)],[zip_derived_cl568]) ).

thf(zip_derived_cl184,plain,
    ( zip_tseitin_40
    | ( ( op @ e2 @ e0 )
     != e2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_27]) ).

thf(zip_derived_cl22_026,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl13,plain,
    ( ( op @ e2 @ e0 )
    = e2 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl22_027,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl239,plain,
    ( ( op @ e2 @ unit )
    = e2 ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl22]) ).

thf(zip_derived_cl560,plain,
    ( zip_tseitin_40
    | ( e2 != e2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl184,zip_derived_cl22,zip_derived_cl239]) ).

thf(zip_derived_cl561,plain,
    zip_tseitin_40,
    inference(simplify,[status(thm)],[zip_derived_cl560]) ).

thf(zip_derived_cl179,plain,
    ( zip_tseitin_39
    | ( ( op @ e2 @ e1 )
     != e3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_29]) ).

thf(zip_derived_cl12,plain,
    ( ( op @ e2 @ e1 )
    = e3 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl550,plain,
    ( zip_tseitin_39
    | ( e3 != e3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl179,zip_derived_cl12]) ).

thf(zip_derived_cl551,plain,
    zip_tseitin_39,
    inference(simplify,[status(thm)],[zip_derived_cl550]) ).

thf(zip_derived_cl178,plain,
    ( zip_tseitin_38
    | ( ( op @ e2 @ e2 )
     != e0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_31]) ).

thf(zip_derived_cl238_028,plain,
    ( ( op @ e2 @ e2 )
    = unit ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl22]) ).

thf(zip_derived_cl22_029,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl548,plain,
    ( zip_tseitin_38
    | ( unit != unit ) ),
    inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl238,zip_derived_cl22]) ).

thf(zip_derived_cl549,plain,
    zip_tseitin_38,
    inference(simplify,[status(thm)],[zip_derived_cl548]) ).

thf(zip_derived_cl173,plain,
    ( zip_tseitin_37
    | ( ( op @ e2 @ e3 )
     != e1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_33]) ).

thf(zip_derived_cl10,plain,
    ( ( op @ e2 @ e3 )
    = e1 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl538,plain,
    ( zip_tseitin_37
    | ( e1 != e1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl10]) ).

thf(zip_derived_cl539,plain,
    zip_tseitin_37,
    inference(simplify,[status(thm)],[zip_derived_cl538]) ).

thf(zip_derived_cl167,plain,
    ( zip_tseitin_36
    | ( ( op @ e3 @ e0 )
     != e3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_35]) ).

thf(zip_derived_cl22_030,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl9,plain,
    ( ( op @ e3 @ e0 )
    = e3 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl22_031,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl237,plain,
    ( ( op @ e3 @ unit )
    = e3 ),
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl22]) ).

thf(zip_derived_cl526,plain,
    ( zip_tseitin_36
    | ( e3 != e3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl22,zip_derived_cl237]) ).

thf(zip_derived_cl527,plain,
    zip_tseitin_36,
    inference(simplify,[status(thm)],[zip_derived_cl526]) ).

thf(zip_derived_cl164,plain,
    ( zip_tseitin_35
    | ( ( op @ e3 @ e1 )
     != e2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_37]) ).

thf(zip_derived_cl8,plain,
    ( ( op @ e3 @ e1 )
    = e2 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl520,plain,
    ( zip_tseitin_35
    | ( e2 != e2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl8]) ).

thf(zip_derived_cl521,plain,
    zip_tseitin_35,
    inference(simplify,[status(thm)],[zip_derived_cl520]) ).

thf(zip_derived_cl161,plain,
    ( zip_tseitin_34
    | ( ( op @ e3 @ e2 )
     != e1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_39]) ).

thf(zip_derived_cl7,plain,
    ( ( op @ e3 @ e2 )
    = e1 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl514,plain,
    ( zip_tseitin_34
    | ( e1 != e1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl7]) ).

thf(zip_derived_cl515,plain,
    zip_tseitin_34,
    inference(simplify,[status(thm)],[zip_derived_cl514]) ).

thf(zip_derived_cl158,plain,
    ( zip_tseitin_33
    | ( ( op @ e3 @ e3 )
     != e0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_41]) ).

thf(zip_derived_cl231_032,plain,
    ( ( op @ e3 @ e3 )
    = unit ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl22]) ).

thf(zip_derived_cl22_033,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl508,plain,
    ( zip_tseitin_33
    | ( unit != unit ) ),
    inference(demod,[status(thm)],[zip_derived_cl158,zip_derived_cl231,zip_derived_cl22]) ).

thf(zip_derived_cl509,plain,
    zip_tseitin_33,
    inference(simplify,[status(thm)],[zip_derived_cl508]) ).

thf(zip_derived_cl22_034,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl245_035,plain,
    ( ( op @ unit @ unit )
    = unit ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl22,zip_derived_cl22,zip_derived_cl22]) ).

thf(zip_derived_cl22_036,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl22_037,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl245_038,plain,
    ( ( op @ unit @ unit )
    = unit ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl22,zip_derived_cl22,zip_derived_cl22]) ).

thf(zip_derived_cl22_039,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl244_040,plain,
    ( ( op @ unit @ e1 )
    = e1 ),
    inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl22]) ).

thf(zip_derived_cl241_041,plain,
    ( ( op @ e1 @ unit )
    = e1 ),
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl22]) ).

thf(zip_derived_cl243_042,plain,
    ( ( op @ unit @ e2 )
    = e2 ),
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl22]) ).

thf(zip_derived_cl239_043,plain,
    ( ( op @ e2 @ unit )
    = e2 ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl22]) ).

thf(zip_derived_cl242_044,plain,
    ( ( op @ unit @ e3 )
    = e3 ),
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl22]) ).

thf(zip_derived_cl237_045,plain,
    ( ( op @ e3 @ unit )
    = e3 ),
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl22]) ).

thf(zip_derived_cl154,plain,
    ( zip_tseitin_32
    | ( unit != e0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_43]) ).

thf(zip_derived_cl22_046,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl235,plain,
    ( zip_tseitin_32
    | ( unit != unit ) ),
    inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl22]) ).

thf(zip_derived_cl236,plain,
    zip_tseitin_32,
    inference(simplify,[status(thm)],[zip_derived_cl235]) ).

thf(zip_derived_cl150,plain,
    ( zip_tseitin_31
    | ( ( op @ e0 @ e0 )
     != e0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_45]) ).

thf(zip_derived_cl22_047,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl22_048,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl245_049,plain,
    ( ( op @ unit @ unit )
    = unit ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl22,zip_derived_cl22,zip_derived_cl22]) ).

thf(zip_derived_cl22_050,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl500,plain,
    ( zip_tseitin_31
    | ( unit != unit ) ),
    inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl22,zip_derived_cl22,zip_derived_cl245,zip_derived_cl22]) ).

thf(zip_derived_cl501,plain,
    zip_tseitin_31,
    inference(simplify,[status(thm)],[zip_derived_cl500]) ).

thf(zip_derived_cl146,plain,
    ( zip_tseitin_30
    | ( ( op @ e0 @ e0 )
     != e0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_47]) ).

thf(zip_derived_cl22_051,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl22_052,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl245_053,plain,
    ( ( op @ unit @ unit )
    = unit ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl22,zip_derived_cl22,zip_derived_cl22]) ).

thf(zip_derived_cl22_054,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl492,plain,
    ( zip_tseitin_30
    | ( unit != unit ) ),
    inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl22,zip_derived_cl22,zip_derived_cl245,zip_derived_cl22]) ).

thf(zip_derived_cl493,plain,
    zip_tseitin_30,
    inference(simplify,[status(thm)],[zip_derived_cl492]) ).

thf(zip_derived_cl141,plain,
    ( zip_tseitin_29
    | ( ( op @ e0 @ e1 )
     != e1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_49]) ).

thf(zip_derived_cl22_055,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl244_056,plain,
    ( ( op @ unit @ e1 )
    = e1 ),
    inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl22]) ).

thf(zip_derived_cl482,plain,
    ( zip_tseitin_29
    | ( e1 != e1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl22,zip_derived_cl244]) ).

thf(zip_derived_cl483,plain,
    zip_tseitin_29,
    inference(simplify,[status(thm)],[zip_derived_cl482]) ).

thf(zip_derived_cl137,plain,
    ( zip_tseitin_28
    | ( ( op @ e1 @ e0 )
     != e1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_51]) ).

thf(zip_derived_cl22_057,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl241_058,plain,
    ( ( op @ e1 @ unit )
    = e1 ),
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl22]) ).

thf(zip_derived_cl474,plain,
    ( zip_tseitin_28
    | ( e1 != e1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl22,zip_derived_cl241]) ).

thf(zip_derived_cl475,plain,
    zip_tseitin_28,
    inference(simplify,[status(thm)],[zip_derived_cl474]) ).

thf(zip_derived_cl132,plain,
    ( zip_tseitin_27
    | ( ( op @ e0 @ e2 )
     != e2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_53]) ).

thf(zip_derived_cl22_059,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl243_060,plain,
    ( ( op @ unit @ e2 )
    = e2 ),
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl22]) ).

thf(zip_derived_cl464,plain,
    ( zip_tseitin_27
    | ( e2 != e2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl22,zip_derived_cl243]) ).

thf(zip_derived_cl465,plain,
    zip_tseitin_27,
    inference(simplify,[status(thm)],[zip_derived_cl464]) ).

thf(zip_derived_cl128,plain,
    ( zip_tseitin_26
    | ( ( op @ e2 @ e0 )
     != e2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_55]) ).

thf(zip_derived_cl22_061,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl239_062,plain,
    ( ( op @ e2 @ unit )
    = e2 ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl22]) ).

thf(zip_derived_cl456,plain,
    ( zip_tseitin_26
    | ( e2 != e2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl22,zip_derived_cl239]) ).

thf(zip_derived_cl457,plain,
    zip_tseitin_26,
    inference(simplify,[status(thm)],[zip_derived_cl456]) ).

thf(zip_derived_cl123,plain,
    ( zip_tseitin_25
    | ( ( op @ e0 @ e3 )
     != e3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_57]) ).

thf(zip_derived_cl22_063,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl242_064,plain,
    ( ( op @ unit @ e3 )
    = e3 ),
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl22]) ).

thf(zip_derived_cl446,plain,
    ( zip_tseitin_25
    | ( e3 != e3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl22,zip_derived_cl242]) ).

thf(zip_derived_cl447,plain,
    zip_tseitin_25,
    inference(simplify,[status(thm)],[zip_derived_cl446]) ).

thf(zip_derived_cl119,plain,
    ( zip_tseitin_24
    | ( ( op @ e3 @ e0 )
     != e3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_59]) ).

thf(zip_derived_cl22_065,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl237_066,plain,
    ( ( op @ e3 @ unit )
    = e3 ),
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl22]) ).

thf(zip_derived_cl438,plain,
    ( zip_tseitin_24
    | ( e3 != e3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl22,zip_derived_cl237]) ).

thf(zip_derived_cl439,plain,
    zip_tseitin_24,
    inference(simplify,[status(thm)],[zip_derived_cl438]) ).

thf(zip_derived_cl117,plain,
    ( zip_tseitin_23
    | ( ( op @ e1 @ e1 )
     != e0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_61]) ).

thf(zip_derived_cl240_067,plain,
    ( ( op @ e1 @ e1 )
    = unit ),
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl22]) ).

thf(zip_derived_cl22_068,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl434,plain,
    ( zip_tseitin_23
    | ( unit != unit ) ),
    inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl240,zip_derived_cl22]) ).

thf(zip_derived_cl435,plain,
    zip_tseitin_23,
    inference(simplify,[status(thm)],[zip_derived_cl434]) ).

thf(zip_derived_cl113,plain,
    ( zip_tseitin_22
    | ( ( op @ e1 @ e1 )
     != e0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_63]) ).

thf(zip_derived_cl240_069,plain,
    ( ( op @ e1 @ e1 )
    = unit ),
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl22]) ).

thf(zip_derived_cl22_070,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl426,plain,
    ( zip_tseitin_22
    | ( unit != unit ) ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl240,zip_derived_cl22]) ).

thf(zip_derived_cl427,plain,
    zip_tseitin_22,
    inference(simplify,[status(thm)],[zip_derived_cl426]) ).

thf(zip_derived_cl110,plain,
    ( zip_tseitin_21
    | ( ( op @ e1 @ e0 )
     != e1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_65]) ).

thf(zip_derived_cl22_071,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl241_072,plain,
    ( ( op @ e1 @ unit )
    = e1 ),
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl22]) ).

thf(zip_derived_cl420,plain,
    ( zip_tseitin_21
    | ( e1 != e1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl22,zip_derived_cl241]) ).

thf(zip_derived_cl421,plain,
    zip_tseitin_21,
    inference(simplify,[status(thm)],[zip_derived_cl420]) ).

thf(zip_derived_cl106,plain,
    ( zip_tseitin_20
    | ( ( op @ e0 @ e1 )
     != e1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_67]) ).

thf(zip_derived_cl22_073,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl244_074,plain,
    ( ( op @ unit @ e1 )
    = e1 ),
    inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl22]) ).

thf(zip_derived_cl412,plain,
    ( zip_tseitin_20
    | ( e1 != e1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl22,zip_derived_cl244]) ).

thf(zip_derived_cl413,plain,
    zip_tseitin_20,
    inference(simplify,[status(thm)],[zip_derived_cl412]) ).

thf(zip_derived_cl99,plain,
    ( zip_tseitin_19
    | ( ( op @ e1 @ e3 )
     != e2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_69]) ).

thf(zip_derived_cl14_075,plain,
    ( ( op @ e1 @ e3 )
    = e2 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl398,plain,
    ( zip_tseitin_19
    | ( e2 != e2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl14]) ).

thf(zip_derived_cl399,plain,
    zip_tseitin_19,
    inference(simplify,[status(thm)],[zip_derived_cl398]) ).

thf(zip_derived_cl95,plain,
    ( zip_tseitin_18
    | ( ( op @ e3 @ e1 )
     != e2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_71]) ).

thf(zip_derived_cl8_076,plain,
    ( ( op @ e3 @ e1 )
    = e2 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl390,plain,
    ( zip_tseitin_18
    | ( e2 != e2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl8]) ).

thf(zip_derived_cl391,plain,
    zip_tseitin_18,
    inference(simplify,[status(thm)],[zip_derived_cl390]) ).

thf(zip_derived_cl92,plain,
    ( zip_tseitin_17
    | ( ( op @ e1 @ e2 )
     != e3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_73]) ).

thf(zip_derived_cl15_077,plain,
    ( ( op @ e1 @ e2 )
    = e3 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl384,plain,
    ( zip_tseitin_17
    | ( e3 != e3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl15]) ).

thf(zip_derived_cl385,plain,
    zip_tseitin_17,
    inference(simplify,[status(thm)],[zip_derived_cl384]) ).

thf(zip_derived_cl88,plain,
    ( zip_tseitin_16
    | ( ( op @ e2 @ e1 )
     != e3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_75]) ).

thf(zip_derived_cl12_078,plain,
    ( ( op @ e2 @ e1 )
    = e3 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl376,plain,
    ( zip_tseitin_16
    | ( e3 != e3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl12]) ).

thf(zip_derived_cl377,plain,
    zip_tseitin_16,
    inference(simplify,[status(thm)],[zip_derived_cl376]) ).

thf(zip_derived_cl84,plain,
    ( zip_tseitin_15
    | ( ( op @ e2 @ e2 )
     != e0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_77]) ).

thf(zip_derived_cl238_079,plain,
    ( ( op @ e2 @ e2 )
    = unit ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl22]) ).

thf(zip_derived_cl22_080,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl368,plain,
    ( zip_tseitin_15
    | ( unit != unit ) ),
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl238,zip_derived_cl22]) ).

thf(zip_derived_cl369,plain,
    zip_tseitin_15,
    inference(simplify,[status(thm)],[zip_derived_cl368]) ).

thf(zip_derived_cl80,plain,
    ( zip_tseitin_14
    | ( ( op @ e2 @ e2 )
     != e0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_79]) ).

thf(zip_derived_cl238_081,plain,
    ( ( op @ e2 @ e2 )
    = unit ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl22]) ).

thf(zip_derived_cl22_082,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl360,plain,
    ( zip_tseitin_14
    | ( unit != unit ) ),
    inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl238,zip_derived_cl22]) ).

thf(zip_derived_cl361,plain,
    zip_tseitin_14,
    inference(simplify,[status(thm)],[zip_derived_cl360]) ).

thf(zip_derived_cl75,plain,
    ( zip_tseitin_13
    | ( ( op @ e2 @ e3 )
     != e1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_81]) ).

thf(zip_derived_cl10_083,plain,
    ( ( op @ e2 @ e3 )
    = e1 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl350,plain,
    ( zip_tseitin_13
    | ( e1 != e1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl10]) ).

thf(zip_derived_cl351,plain,
    zip_tseitin_13,
    inference(simplify,[status(thm)],[zip_derived_cl350]) ).

thf(zip_derived_cl71,plain,
    ( zip_tseitin_12
    | ( ( op @ e3 @ e2 )
     != e1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_83]) ).

thf(zip_derived_cl7_084,plain,
    ( ( op @ e3 @ e2 )
    = e1 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl342,plain,
    ( zip_tseitin_12
    | ( e1 != e1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl7]) ).

thf(zip_derived_cl343,plain,
    zip_tseitin_12,
    inference(simplify,[status(thm)],[zip_derived_cl342]) ).

thf(zip_derived_cl70,plain,
    ( zip_tseitin_11
    | ( ( op @ e2 @ e0 )
     != e2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_85]) ).

thf(zip_derived_cl22_085,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl239_086,plain,
    ( ( op @ e2 @ unit )
    = e2 ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl22]) ).

thf(zip_derived_cl340,plain,
    ( zip_tseitin_11
    | ( e2 != e2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl22,zip_derived_cl239]) ).

thf(zip_derived_cl341,plain,
    zip_tseitin_11,
    inference(simplify,[status(thm)],[zip_derived_cl340]) ).

thf(zip_derived_cl66,plain,
    ( zip_tseitin_10
    | ( ( op @ e0 @ e2 )
     != e2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_87]) ).

thf(zip_derived_cl22_087,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl243_088,plain,
    ( ( op @ unit @ e2 )
    = e2 ),
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl22]) ).

thf(zip_derived_cl332,plain,
    ( zip_tseitin_10
    | ( e2 != e2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl22,zip_derived_cl243]) ).

thf(zip_derived_cl333,plain,
    zip_tseitin_10,
    inference(simplify,[status(thm)],[zip_derived_cl332]) ).

thf(zip_derived_cl61,plain,
    ( zip_tseitin_9
    | ( ( op @ e2 @ e1 )
     != e3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_89]) ).

thf(zip_derived_cl12_089,plain,
    ( ( op @ e2 @ e1 )
    = e3 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl322,plain,
    ( zip_tseitin_9
    | ( e3 != e3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl12]) ).

thf(zip_derived_cl323,plain,
    zip_tseitin_9,
    inference(simplify,[status(thm)],[zip_derived_cl322]) ).

thf(zip_derived_cl57,plain,
    ( zip_tseitin_8
    | ( ( op @ e1 @ e2 )
     != e3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_91]) ).

thf(zip_derived_cl15_090,plain,
    ( ( op @ e1 @ e2 )
    = e3 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl314,plain,
    ( zip_tseitin_8
    | ( e3 != e3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl15]) ).

thf(zip_derived_cl315,plain,
    zip_tseitin_8,
    inference(simplify,[status(thm)],[zip_derived_cl314]) ).

thf(zip_derived_cl51,plain,
    ( zip_tseitin_7
    | ( ( op @ e3 @ e3 )
     != e0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_93]) ).

thf(zip_derived_cl231_091,plain,
    ( ( op @ e3 @ e3 )
    = unit ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl22]) ).

thf(zip_derived_cl22_092,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl302,plain,
    ( zip_tseitin_7
    | ( unit != unit ) ),
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl231,zip_derived_cl22]) ).

thf(zip_derived_cl303,plain,
    zip_tseitin_7,
    inference(simplify,[status(thm)],[zip_derived_cl302]) ).

thf(zip_derived_cl47,plain,
    ( zip_tseitin_6
    | ( ( op @ e3 @ e3 )
     != e0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_95]) ).

thf(zip_derived_cl231_093,plain,
    ( ( op @ e3 @ e3 )
    = unit ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl22]) ).

thf(zip_derived_cl22_094,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl294,plain,
    ( zip_tseitin_6
    | ( unit != unit ) ),
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl231,zip_derived_cl22]) ).

thf(zip_derived_cl295,plain,
    zip_tseitin_6,
    inference(simplify,[status(thm)],[zip_derived_cl294]) ).

thf(zip_derived_cl44,plain,
    ( zip_tseitin_5
    | ( ( op @ e3 @ e2 )
     != e1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_97]) ).

thf(zip_derived_cl7_095,plain,
    ( ( op @ e3 @ e2 )
    = e1 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl288,plain,
    ( zip_tseitin_5
    | ( e1 != e1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl7]) ).

thf(zip_derived_cl289,plain,
    zip_tseitin_5,
    inference(simplify,[status(thm)],[zip_derived_cl288]) ).

thf(zip_derived_cl40,plain,
    ( zip_tseitin_4
    | ( ( op @ e2 @ e3 )
     != e1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_99]) ).

thf(zip_derived_cl10_096,plain,
    ( ( op @ e2 @ e3 )
    = e1 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl280,plain,
    ( zip_tseitin_4
    | ( e1 != e1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl10]) ).

thf(zip_derived_cl281,plain,
    zip_tseitin_4,
    inference(simplify,[status(thm)],[zip_derived_cl280]) ).

thf(zip_derived_cl37,plain,
    ( zip_tseitin_3
    | ( ( op @ e3 @ e1 )
     != e2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_101]) ).

thf(zip_derived_cl8_097,plain,
    ( ( op @ e3 @ e1 )
    = e2 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl274,plain,
    ( zip_tseitin_3
    | ( e2 != e2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl8]) ).

thf(zip_derived_cl275,plain,
    zip_tseitin_3,
    inference(simplify,[status(thm)],[zip_derived_cl274]) ).

thf(zip_derived_cl33,plain,
    ( zip_tseitin_2
    | ( ( op @ e1 @ e3 )
     != e2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_103]) ).

thf(zip_derived_cl14_098,plain,
    ( ( op @ e1 @ e3 )
    = e2 ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl266,plain,
    ( zip_tseitin_2
    | ( e2 != e2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl14]) ).

thf(zip_derived_cl267,plain,
    zip_tseitin_2,
    inference(simplify,[status(thm)],[zip_derived_cl266]) ).

thf(zip_derived_cl30,plain,
    ( zip_tseitin_1
    | ( ( op @ e3 @ e0 )
     != e3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_105]) ).

thf(zip_derived_cl22_099,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl237_100,plain,
    ( ( op @ e3 @ unit )
    = e3 ),
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl22]) ).

thf(zip_derived_cl260,plain,
    ( zip_tseitin_1
    | ( e3 != e3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl22,zip_derived_cl237]) ).

thf(zip_derived_cl261,plain,
    zip_tseitin_1,
    inference(simplify,[status(thm)],[zip_derived_cl260]) ).

thf(zip_derived_cl26,plain,
    ( zip_tseitin_0
    | ( ( op @ e0 @ e3 )
     != e3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_107]) ).

thf(zip_derived_cl22_101,plain,
    unit = e0,
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl242_102,plain,
    ( ( op @ unit @ e3 )
    = e3 ),
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl22]) ).

thf(zip_derived_cl252,plain,
    ( zip_tseitin_0
    | ( e3 != e3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl22,zip_derived_cl242]) ).

thf(zip_derived_cl253,plain,
    zip_tseitin_0,
    inference(simplify,[status(thm)],[zip_derived_cl252]) ).

thf(zip_derived_cl642,plain,
    ( ( unit != unit )
    | ( unit != unit )
    | ( e1 != e1 )
    | ( e1 != e1 )
    | ( e2 != e2 )
    | ( e2 != e2 )
    | ( e3 != e3 )
    | ( e3 != e3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl632,zip_derived_cl629,zip_derived_cl619,zip_derived_cl609,zip_derived_cl599,zip_derived_cl595,zip_derived_cl589,zip_derived_cl575,zip_derived_cl569,zip_derived_cl561,zip_derived_cl551,zip_derived_cl549,zip_derived_cl539,zip_derived_cl527,zip_derived_cl521,zip_derived_cl515,zip_derived_cl509,zip_derived_cl22,zip_derived_cl245,zip_derived_cl22,zip_derived_cl22,zip_derived_cl245,zip_derived_cl22,zip_derived_cl244,zip_derived_cl241,zip_derived_cl243,zip_derived_cl239,zip_derived_cl242,zip_derived_cl237,zip_derived_cl236,zip_derived_cl501,zip_derived_cl493,zip_derived_cl483,zip_derived_cl475,zip_derived_cl465,zip_derived_cl457,zip_derived_cl447,zip_derived_cl439,zip_derived_cl435,zip_derived_cl427,zip_derived_cl421,zip_derived_cl413,zip_derived_cl399,zip_derived_cl391,zip_derived_cl385,zip_derived_cl377,zip_derived_cl369,zip_derived_cl361,zip_derived_cl351,zip_derived_cl343,zip_derived_cl341,zip_derived_cl333,zip_derived_cl323,zip_derived_cl315,zip_derived_cl303,zip_derived_cl295,zip_derived_cl289,zip_derived_cl281,zip_derived_cl275,zip_derived_cl267,zip_derived_cl261,zip_derived_cl253]) ).

thf(zip_derived_cl643,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl642]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG043+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LgGi4YD6W9 true
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Aug 28 03:40:16 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
% 0.13/0.35  % Running in FO mode
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.10/0.82  % Solved by fo/fo5.sh.
% 1.10/0.82  % done 231 iterations in 0.047s
% 1.10/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.10/0.82  % SZS output start Refutation
% See solution above
% 1.10/0.82  
% 1.10/0.82  
% 1.10/0.82  % Terminating...
% 1.75/0.94  % Runner terminated.
% 1.75/0.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------