%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG112+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tsi3hrj4Ha true

% Computer : n010.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 17:10:54 EDT 2023

% Result   : Theorem 39.18s 6.23s
% Output   : Refutation 39.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   54
% Syntax   : Number of formulae    : 1299 ( 338 unt;  30 typ;   0 def)
%            Number of atoms       : 3533 (3444 equ;   0 cnn)
%            Maximal formula atoms :  128 (   2 avg)
%            Number of connectives : 12896 ( 986   ~;1044   |; 608   &;9646   @)
%                                         (   0 <=>;   8  =>; 604  <=;   0 <~>)
%            Maximal formula depth :   49 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  22 usr;  17 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(e23_type,type,
    e23: $i ).

thf(h2_type,type,
    h2: $i > $i ).

thf(h3_type,type,
    h3: $i > $i ).

thf(e13_type,type,
    e13: $i ).

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

thf(op2_type,type,
    op2: $i > $i > $i ).

thf(e12_type,type,
    e12: $i ).

thf(e22_type,type,
    e22: $i ).

thf(e21_type,type,
    e21: $i ).

thf(e11_type,type,
    e11: $i ).

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

thf(e10_type,type,
    e10: $i ).

thf(op1_type,type,
    op1: $i > $i > $i ).

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

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

thf(h1_type,type,
    h1: $i > $i ).

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

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

thf(e20_type,type,
    e20: $i ).

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

thf(h4_type,type,
    h4: $i > $i ).

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

thf(ax3,axiom,
    ( ( ( ( op2 @ e23 @ e23 )
        = e23 )
      | ( ( op2 @ e23 @ e23 )
        = e22 )
      | ( ( op2 @ e23 @ e23 )
        = e21 )
      | ( ( op2 @ e23 @ e23 )
        = e20 ) )
    & ( ( ( op2 @ e23 @ e22 )
        = e23 )
      | ( ( op2 @ e23 @ e22 )
        = e22 )
      | ( ( op2 @ e23 @ e22 )
        = e21 )
      | ( ( op2 @ e23 @ e22 )
        = e20 ) )
    & ( ( ( op2 @ e23 @ e21 )
        = e23 )
      | ( ( op2 @ e23 @ e21 )
        = e22 )
      | ( ( op2 @ e23 @ e21 )
        = e21 )
      | ( ( op2 @ e23 @ e21 )
        = e20 ) )
    & ( ( ( op2 @ e23 @ e20 )
        = e23 )
      | ( ( op2 @ e23 @ e20 )
        = e22 )
      | ( ( op2 @ e23 @ e20 )
        = e21 )
      | ( ( op2 @ e23 @ e20 )
        = e20 ) )
    & ( ( ( op2 @ e22 @ e23 )
        = e23 )
      | ( ( op2 @ e22 @ e23 )
        = e22 )
      | ( ( op2 @ e22 @ e23 )
        = e21 )
      | ( ( op2 @ e22 @ e23 )
        = e20 ) )
    & ( ( ( op2 @ e22 @ e22 )
        = e23 )
      | ( ( op2 @ e22 @ e22 )
        = e22 )
      | ( ( op2 @ e22 @ e22 )
        = e21 )
      | ( ( op2 @ e22 @ e22 )
        = e20 ) )
    & ( ( ( op2 @ e22 @ e21 )
        = e23 )
      | ( ( op2 @ e22 @ e21 )
        = e22 )
      | ( ( op2 @ e22 @ e21 )
        = e21 )
      | ( ( op2 @ e22 @ e21 )
        = e20 ) )
    & ( ( ( op2 @ e22 @ e20 )
        = e23 )
      | ( ( op2 @ e22 @ e20 )
        = e22 )
      | ( ( op2 @ e22 @ e20 )
        = e21 )
      | ( ( op2 @ e22 @ e20 )
        = e20 ) )
    & ( ( ( op2 @ e21 @ e23 )
        = e23 )
      | ( ( op2 @ e21 @ e23 )
        = e22 )
      | ( ( op2 @ e21 @ e23 )
        = e21 )
      | ( ( op2 @ e21 @ e23 )
        = e20 ) )
    & ( ( ( op2 @ e21 @ e22 )
        = e23 )
      | ( ( op2 @ e21 @ e22 )
        = e22 )
      | ( ( op2 @ e21 @ e22 )
        = e21 )
      | ( ( op2 @ e21 @ e22 )
        = e20 ) )
    & ( ( ( op2 @ e21 @ e21 )
        = e23 )
      | ( ( op2 @ e21 @ e21 )
        = e22 )
      | ( ( op2 @ e21 @ e21 )
        = e21 )
      | ( ( op2 @ e21 @ e21 )
        = e20 ) )
    & ( ( ( op2 @ e21 @ e20 )
        = e23 )
      | ( ( op2 @ e21 @ e20 )
        = e22 )
      | ( ( op2 @ e21 @ e20 )
        = e21 )
      | ( ( op2 @ e21 @ e20 )
        = e20 ) )
    & ( ( ( op2 @ e20 @ e23 )
        = e23 )
      | ( ( op2 @ e20 @ e23 )
        = e22 )
      | ( ( op2 @ e20 @ e23 )
        = e21 )
      | ( ( op2 @ e20 @ e23 )
        = e20 ) )
    & ( ( ( op2 @ e20 @ e22 )
        = e23 )
      | ( ( op2 @ e20 @ e22 )
        = e22 )
      | ( ( op2 @ e20 @ e22 )
        = e21 )
      | ( ( op2 @ e20 @ e22 )
        = e20 ) )
    & ( ( ( op2 @ e20 @ e21 )
        = e23 )
      | ( ( op2 @ e20 @ e21 )
        = e22 )
      | ( ( op2 @ e20 @ e21 )
        = e21 )
      | ( ( op2 @ e20 @ e21 )
        = e20 ) )
    & ( ( ( op2 @ e20 @ e20 )
        = e23 )
      | ( ( op2 @ e20 @ e20 )
        = e22 )
      | ( ( op2 @ e20 @ e20 )
        = e21 )
      | ( ( op2 @ e20 @ e20 )
        = e20 ) ) ) ).

thf(zip_derived_cl50,plain,
    ( ( ( op2 @ e23 @ e21 )
      = e23 )
    | ( ( op2 @ e23 @ e21 )
      = e22 )
    | ( ( op2 @ e23 @ e21 )
      = e21 )
    | ( ( op2 @ e23 @ e21 )
      = e20 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl1501,plain,
    ( ( ( op2 @ e23 @ e21 )
      = e21 )
   <= ( ( op2 @ e23 @ e21 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(ax13,axiom,
    ( ( e23
      = ( op2 @ e21 @ ( op2 @ ( op2 @ e21 @ e21 ) @ e21 ) ) )
    & ( e22
      = ( op2 @ e21 @ e21 ) )
    & ( e20
      = ( op2 @ ( op2 @ e21 @ e21 ) @ e21 ) ) ) ).

thf(zip_derived_cl257,plain,
    ( e23
    = ( op2 @ e21 @ ( op2 @ ( op2 @ e21 @ e21 ) @ e21 ) ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl258,plain,
    ( e22
    = ( op2 @ e21 @ e21 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl22552,plain,
    ( e23
    = ( op2 @ e21 @ ( op2 @ e22 @ e21 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl258]) ).

thf(zip_derived_cl259,plain,
    ( e20
    = ( op2 @ ( op2 @ e21 @ e21 ) @ e21 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl258_001,plain,
    ( e22
    = ( op2 @ e21 @ e21 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl22557,plain,
    ( e20
    = ( op2 @ e22 @ e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).

thf(zip_derived_cl27398,plain,
    ( e23
    = ( op2 @ e21 @ e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22552,zip_derived_cl22557]) ).

thf(ax11,axiom,
    ( ( ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
        = e20 )
      & ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
        = e21 )
      & ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
        = e22 )
      & ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
        = e23 ) )
    | ( ( ( op2 @ ( op2 @ e20 @ e21 ) @ ( op2 @ e20 @ e21 ) )
        = e20 )
      & ( ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) )
        = e21 )
      & ( ( op2 @ ( op2 @ e22 @ e21 ) @ ( op2 @ e22 @ e21 ) )
        = e22 )
      & ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
        = e23 ) )
    | ( ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
        = e20 )
      & ( ( op2 @ ( op2 @ e21 @ e22 ) @ ( op2 @ e21 @ e22 ) )
        = e21 )
      & ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
        = e22 )
      & ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
        = e23 ) )
    | ( ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
        = e20 )
      & ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) )
        = e21 )
      & ( ( op2 @ ( op2 @ e22 @ e23 ) @ ( op2 @ e22 @ e23 ) )
        = e22 )
      & ( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
        = e23 ) ) ) ).

thf(zf_stmt_0,axiom,
    ( zip_tseitin_4
   => ( ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
        = e23 )
      & ( ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) )
        = e22 )
      & ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
        = e21 )
      & ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
        = e20 ) ) ) ).

thf(zip_derived_cl239,plain,
    ( ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
      = e21 )
    | ~ zip_tseitin_4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1724,plain,
    ( ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
      = e21 )
   <= ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl239]) ).

thf(zip_derived_cl27408,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e21 )
   <= ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl27398,zip_derived_cl1724]) ).

thf(ax6,axiom,
    ( ( ( op2 @ e23 @ e22 )
     != ( op2 @ e23 @ e23 ) )
    & ( ( op2 @ e23 @ e21 )
     != ( op2 @ e23 @ e23 ) )
    & ( ( op2 @ e23 @ e21 )
     != ( op2 @ e23 @ e22 ) )
    & ( ( op2 @ e23 @ e20 )
     != ( op2 @ e23 @ e23 ) )
    & ( ( op2 @ e23 @ e20 )
     != ( op2 @ e23 @ e22 ) )
    & ( ( op2 @ e23 @ e20 )
     != ( op2 @ e23 @ e21 ) )
    & ( ( op2 @ e22 @ e22 )
     != ( op2 @ e22 @ e23 ) )
    & ( ( op2 @ e22 @ e21 )
     != ( op2 @ e22 @ e23 ) )
    & ( ( op2 @ e22 @ e21 )
     != ( op2 @ e22 @ e22 ) )
    & ( ( op2 @ e22 @ e20 )
     != ( op2 @ e22 @ e23 ) )
    & ( ( op2 @ e22 @ e20 )
     != ( op2 @ e22 @ e22 ) )
    & ( ( op2 @ e22 @ e20 )
     != ( op2 @ e22 @ e21 ) )
    & ( ( op2 @ e21 @ e22 )
     != ( op2 @ e21 @ e23 ) )
    & ( ( op2 @ e21 @ e21 )
     != ( op2 @ e21 @ e23 ) )
    & ( ( op2 @ e21 @ e21 )
     != ( op2 @ e21 @ e22 ) )
    & ( ( op2 @ e21 @ e20 )
     != ( op2 @ e21 @ e23 ) )
    & ( ( op2 @ e21 @ e20 )
     != ( op2 @ e21 @ e22 ) )
    & ( ( op2 @ e21 @ e20 )
     != ( op2 @ e21 @ e21 ) )
    & ( ( op2 @ e20 @ e22 )
     != ( op2 @ e20 @ e23 ) )
    & ( ( op2 @ e20 @ e21 )
     != ( op2 @ e20 @ e23 ) )
    & ( ( op2 @ e20 @ e21 )
     != ( op2 @ e20 @ e22 ) )
    & ( ( op2 @ e20 @ e20 )
     != ( op2 @ e20 @ e23 ) )
    & ( ( op2 @ e20 @ e20 )
     != ( op2 @ e20 @ e22 ) )
    & ( ( op2 @ e20 @ e20 )
     != ( op2 @ e20 @ e21 ) )
    & ( ( op2 @ e22 @ e23 )
     != ( op2 @ e23 @ e23 ) )
    & ( ( op2 @ e21 @ e23 )
     != ( op2 @ e23 @ e23 ) )
    & ( ( op2 @ e21 @ e23 )
     != ( op2 @ e22 @ e23 ) )
    & ( ( op2 @ e20 @ e23 )
     != ( op2 @ e23 @ e23 ) )
    & ( ( op2 @ e20 @ e23 )
     != ( op2 @ e22 @ e23 ) )
    & ( ( op2 @ e20 @ e23 )
     != ( op2 @ e21 @ e23 ) )
    & ( ( op2 @ e22 @ e22 )
     != ( op2 @ e23 @ e22 ) )
    & ( ( op2 @ e21 @ e22 )
     != ( op2 @ e23 @ e22 ) )
    & ( ( op2 @ e21 @ e22 )
     != ( op2 @ e22 @ e22 ) )
    & ( ( op2 @ e20 @ e22 )
     != ( op2 @ e23 @ e22 ) )
    & ( ( op2 @ e20 @ e22 )
     != ( op2 @ e22 @ e22 ) )
    & ( ( op2 @ e20 @ e22 )
     != ( op2 @ e21 @ e22 ) )
    & ( ( op2 @ e22 @ e21 )
     != ( op2 @ e23 @ e21 ) )
    & ( ( op2 @ e21 @ e21 )
     != ( op2 @ e23 @ e21 ) )
    & ( ( op2 @ e21 @ e21 )
     != ( op2 @ e22 @ e21 ) )
    & ( ( op2 @ e20 @ e21 )
     != ( op2 @ e23 @ e21 ) )
    & ( ( op2 @ e20 @ e21 )
     != ( op2 @ e22 @ e21 ) )
    & ( ( op2 @ e20 @ e21 )
     != ( op2 @ e21 @ e21 ) )
    & ( ( op2 @ e22 @ e20 )
     != ( op2 @ e23 @ e20 ) )
    & ( ( op2 @ e21 @ e20 )
     != ( op2 @ e23 @ e20 ) )
    & ( ( op2 @ e21 @ e20 )
     != ( op2 @ e22 @ e20 ) )
    & ( ( op2 @ e20 @ e20 )
     != ( op2 @ e23 @ e20 ) )
    & ( ( op2 @ e20 @ e20 )
     != ( op2 @ e22 @ e20 ) )
    & ( ( op2 @ e20 @ e20 )
     != ( op2 @ e21 @ e20 ) ) ) ).

thf(zip_derived_cl145,plain,
    ( ( op2 @ e23 @ e21 )
   != ( op2 @ e23 @ e23 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl32179,plain,
    ( ( ( op2 @ e23 @ e21 )
     != e21 )
   <= ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
      = e21 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl27408,zip_derived_cl145]) ).

thf(zip_derived_cl32232,plain,
    ( ( e21 != e21 )
   <= ( ( ( op2 @ e23 @ e21 )
        = e21 )
      & ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
        = e21 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1501,zip_derived_cl32179]) ).

thf('0',plain,
    ( ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
     != e21 )
    | ( ( op2 @ e23 @ e21 )
     != e21 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl32232]) ).

thf(zip_derived_cl61,plain,
    ( ( ( op2 @ e20 @ e22 )
      = e23 )
    | ( ( op2 @ e20 @ e22 )
      = e22 )
    | ( ( op2 @ e20 @ e22 )
      = e21 )
    | ( ( op2 @ e20 @ e22 )
      = e20 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl1547,plain,
    ( ( ( op2 @ e20 @ e22 )
      = e23 )
   <= ( ( op2 @ e20 @ e22 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl51,plain,
    ( ( ( op2 @ e23 @ e20 )
      = e23 )
    | ( ( op2 @ e23 @ e20 )
      = e22 )
    | ( ( op2 @ e23 @ e20 )
      = e21 )
    | ( ( op2 @ e23 @ e20 )
      = e20 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl1506,plain,
    ( ( ( op2 @ e23 @ e20 )
      = e22 )
   <= ( ( op2 @ e23 @ e20 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl237,plain,
    ( ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
      = e23 )
    | ~ zip_tseitin_4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1721,plain,
    ( ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
      = e23 )
   <= ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl237]) ).

thf(zip_derived_cl26684,plain,
    ( ( ( op2 @ e22 @ e22 )
      = e23 )
   <= ( ( ( op2 @ e23 @ e20 )
        = e22 )
      & ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1506,zip_derived_cl1721]) ).

thf(zip_derived_cl178,plain,
    ( ( op2 @ e20 @ e22 )
   != ( op2 @ e22 @ e22 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl29260,plain,
    ( ( ( op2 @ e20 @ e22 )
     != e23 )
   <= ( ( ( op2 @ e23 @ e20 )
        = e22 )
      & ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
        = e23 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26684,zip_derived_cl178]) ).

thf(zip_derived_cl29326,plain,
    ( ( e23 != e23 )
   <= ( ( ( op2 @ e23 @ e20 )
        = e22 )
      & ( ( op2 @ e20 @ e22 )
        = e23 )
      & ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
        = e23 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl29260]) ).

thf('1',plain,
    ( ( ( op2 @ e23 @ e20 )
     != e22 )
    | ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
     != e23 )
    | ( ( op2 @ e20 @ e22 )
     != e23 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl29326]) ).

thf(zip_derived_cl1505,plain,
    ( ( ( op2 @ e23 @ e20 )
      = e21 )
   <= ( ( op2 @ e23 @ e20 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl27408_002,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e21 )
   <= ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl27398,zip_derived_cl1724]) ).

thf(zip_derived_cl147,plain,
    ( ( op2 @ e23 @ e20 )
   != ( op2 @ e23 @ e23 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl32180,plain,
    ( ( ( op2 @ e23 @ e20 )
     != e21 )
   <= ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
      = e21 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl27408,zip_derived_cl147]) ).

thf(zip_derived_cl32236,plain,
    ( ( e21 != e21 )
   <= ( ( ( op2 @ e23 @ e20 )
        = e21 )
      & ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
        = e21 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl32180]) ).

thf('2',plain,
    ( ( ( op2 @ e23 @ e20 )
     != e21 )
    | ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
     != e21 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl32236]) ).

thf(zf_stmt_1,axiom,
    ( zip_tseitin_5
   => ( ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
        = e23 )
      & ( ( op2 @ ( op2 @ e22 @ e21 ) @ ( op2 @ e22 @ e21 ) )
        = e22 )
      & ( ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) )
        = e21 )
      & ( ( op2 @ ( op2 @ e20 @ e21 ) @ ( op2 @ e20 @ e21 ) )
        = e20 ) ) ) ).

thf(zip_derived_cl242,plain,
    ( ( ( op2 @ ( op2 @ e22 @ e21 ) @ ( op2 @ e22 @ e21 ) )
      = e22 )
    | ~ zip_tseitin_5 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1730,plain,
    ( ( ( op2 @ ( op2 @ e22 @ e21 ) @ ( op2 @ e22 @ e21 ) )
      = e22 )
   <= ( ( op2 @ ( op2 @ e22 @ e21 ) @ ( op2 @ e22 @ e21 ) )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl242]) ).

thf(zip_derived_cl22557_003,plain,
    ( e20
    = ( op2 @ e22 @ e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).

thf(zip_derived_cl22557_004,plain,
    ( e20
    = ( op2 @ e22 @ e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).

thf(zip_derived_cl26773,plain,
    ( ( ( op2 @ e20 @ e20 )
      = e22 )
   <= ( ( op2 @ ( op2 @ e22 @ e21 ) @ ( op2 @ e22 @ e21 ) )
      = e22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1730,zip_derived_cl22557,zip_derived_cl22557]) ).

thf(zip_derived_cl60,plain,
    ( ( ( op2 @ e20 @ e23 )
      = e23 )
    | ( ( op2 @ e20 @ e23 )
      = e22 )
    | ( ( op2 @ e20 @ e23 )
      = e21 )
    | ( ( op2 @ e20 @ e23 )
      = e20 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl1542,plain,
    ( ( ( op2 @ e20 @ e23 )
      = e22 )
   <= ( ( op2 @ e20 @ e23 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl165,plain,
    ( ( op2 @ e20 @ e20 )
   != ( op2 @ e20 @ e23 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl25156,plain,
    ( ( ( op2 @ e20 @ e20 )
     != e22 )
   <= ( ( op2 @ e20 @ e23 )
      = e22 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl165]) ).

thf(zip_derived_cl27528,plain,
    ( ( e22 != e22 )
   <= ( ( ( op2 @ e20 @ e23 )
        = e22 )
      & ( ( op2 @ ( op2 @ e22 @ e21 ) @ ( op2 @ e22 @ e21 ) )
        = e22 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26773,zip_derived_cl25156]) ).

thf('3',plain,
    ( ( ( op2 @ ( op2 @ e22 @ e21 ) @ ( op2 @ e22 @ e21 ) )
     != e22 )
    | ( ( op2 @ e20 @ e23 )
     != e22 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27528]) ).

thf('4',plain,
    ( ~ zip_tseitin_5
    | ( ( op2 @ ( op2 @ e22 @ e21 ) @ ( op2 @ e22 @ e21 ) )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl242]) ).

thf(zip_derived_cl49,plain,
    ( ( ( op2 @ e23 @ e22 )
      = e23 )
    | ( ( op2 @ e23 @ e22 )
      = e22 )
    | ( ( op2 @ e23 @ e22 )
      = e21 )
    | ( ( op2 @ e23 @ e22 )
      = e20 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl1498,plain,
    ( ( ( op2 @ e23 @ e22 )
      = e22 )
   <= ( ( op2 @ e23 @ e22 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zf_stmt_2,axiom,
    ( zip_tseitin_6
   => ( ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
        = e23 )
      & ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
        = e22 )
      & ( ( op2 @ ( op2 @ e21 @ e22 ) @ ( op2 @ e21 @ e22 ) )
        = e21 )
      & ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
        = e20 ) ) ) ).

thf(zip_derived_cl245,plain,
    ( ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
      = e23 )
    | ~ zip_tseitin_6 ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl1737,plain,
    ( ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
      = e23 )
   <= ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl245]) ).

thf(zip_derived_cl26843,plain,
    ( ( ( op2 @ e22 @ e22 )
      = e23 )
   <= ( ( ( op2 @ e23 @ e22 )
        = e22 )
      & ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1498,zip_derived_cl1737]) ).

thf(zip_derived_cl52,plain,
    ( ( ( op2 @ e22 @ e23 )
      = e23 )
    | ( ( op2 @ e22 @ e23 )
      = e22 )
    | ( ( op2 @ e22 @ e23 )
      = e21 )
    | ( ( op2 @ e22 @ e23 )
      = e20 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl1511,plain,
    ( ( ( op2 @ e22 @ e23 )
      = e23 )
   <= ( ( op2 @ e22 @ e23 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl150,plain,
    ( ( op2 @ e22 @ e22 )
   != ( op2 @ e22 @ e23 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl24871,plain,
    ( ( ( op2 @ e22 @ e22 )
     != e23 )
   <= ( ( op2 @ e22 @ e23 )
      = e23 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1511,zip_derived_cl150]) ).

thf(zip_derived_cl29520,plain,
    ( ( e23 != e23 )
   <= ( ( ( op2 @ e23 @ e22 )
        = e22 )
      & ( ( op2 @ e22 @ e23 )
        = e23 )
      & ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
        = e23 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26843,zip_derived_cl24871]) ).

thf('5',plain,
    ( ( ( op2 @ e23 @ e22 )
     != e22 )
    | ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
     != e23 )
    | ( ( op2 @ e22 @ e23 )
     != e23 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl29520]) ).

thf(zip_derived_cl1497,plain,
    ( ( ( op2 @ e23 @ e22 )
      = e21 )
   <= ( ( op2 @ e23 @ e22 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl1737_005,plain,
    ( ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
      = e23 )
   <= ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl245]) ).

thf(zip_derived_cl26842,plain,
    ( ( ( op2 @ e21 @ e21 )
      = e23 )
   <= ( ( ( op2 @ e23 @ e22 )
        = e21 )
      & ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1497,zip_derived_cl1737]) ).

thf(zip_derived_cl258_006,plain,
    ( e22
    = ( op2 @ e21 @ e21 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl26849,plain,
    ( ( e22 = e23 )
   <= ( ( ( op2 @ e23 @ e22 )
        = e21 )
      & ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
        = e23 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl26842,zip_derived_cl258]) ).

thf(ax8,axiom,
    ( ( e22 != e23 )
    & ( e21 != e23 )
    & ( e21 != e22 )
    & ( e20 != e23 )
    & ( e20 != e22 )
    & ( e20 != e21 ) ) ).

thf(zip_derived_cl198,plain,
    e22 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('6',plain,
    ( ( ( op2 @ e23 @ e22 )
     != e21 )
    | ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
     != e23 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl26849,zip_derived_cl198]) ).

thf(zip_derived_cl1496,plain,
    ( ( ( op2 @ e23 @ e22 )
      = e20 )
   <= ( ( op2 @ e23 @ e22 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl1547_007,plain,
    ( ( ( op2 @ e20 @ e22 )
      = e23 )
   <= ( ( op2 @ e20 @ e22 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl248,plain,
    ( ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
      = e20 )
    | ~ zip_tseitin_6 ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl1742,plain,
    ( ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
      = e20 )
   <= ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl248]) ).

thf(zip_derived_cl26915,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e20 )
   <= ( ( ( op2 @ e20 @ e22 )
        = e23 )
      & ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
        = e20 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl1742]) ).

thf(zip_derived_cl144,plain,
    ( ( op2 @ e23 @ e22 )
   != ( op2 @ e23 @ e23 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl29911,plain,
    ( ( ( op2 @ e23 @ e22 )
     != e20 )
   <= ( ( ( op2 @ e20 @ e22 )
        = e23 )
      & ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
        = e20 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26915,zip_derived_cl144]) ).

thf(zip_derived_cl29946,plain,
    ( ( e20 != e20 )
   <= ( ( ( op2 @ e23 @ e22 )
        = e20 )
      & ( ( op2 @ e20 @ e22 )
        = e23 )
      & ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
        = e20 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1496,zip_derived_cl29911]) ).

thf('7',plain,
    ( ( ( op2 @ e23 @ e22 )
     != e20 )
    | ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
     != e20 )
    | ( ( op2 @ e20 @ e22 )
     != e23 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl29946]) ).

thf('8',plain,
    ( ( ( op2 @ e23 @ e22 )
      = e23 )
    | ( ( op2 @ e23 @ e22 )
      = e22 )
    | ( ( op2 @ e23 @ e22 )
      = e21 )
    | ( ( op2 @ e23 @ e22 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl63,plain,
    ( ( ( op2 @ e20 @ e20 )
      = e23 )
    | ( ( op2 @ e20 @ e20 )
      = e22 )
    | ( ( op2 @ e20 @ e20 )
      = e21 )
    | ( ( op2 @ e20 @ e20 )
      = e20 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl1552,plain,
    ( ( ( op2 @ e20 @ e20 )
      = e20 )
   <= ( ( op2 @ e20 @ e20 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl1504,plain,
    ( ( ( op2 @ e23 @ e20 )
      = e20 )
   <= ( ( op2 @ e23 @ e20 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl189,plain,
    ( ( op2 @ e20 @ e20 )
   != ( op2 @ e23 @ e20 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl24814,plain,
    ( ( ( op2 @ e20 @ e20 )
     != e20 )
   <= ( ( op2 @ e23 @ e20 )
      = e20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1504,zip_derived_cl189]) ).

thf(zip_derived_cl27149,plain,
    ( ( e20 != e20 )
   <= ( ( ( op2 @ e23 @ e20 )
        = e20 )
      & ( ( op2 @ e20 @ e20 )
        = e20 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl24814]) ).

thf('9',plain,
    ( ( ( op2 @ e23 @ e20 )
     != e20 )
    | ( ( op2 @ e20 @ e20 )
     != e20 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27149]) ).

thf(zip_derived_cl1554,plain,
    ( ( ( op2 @ e20 @ e20 )
      = e22 )
   <= ( ( op2 @ e20 @ e20 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl25156_008,plain,
    ( ( ( op2 @ e20 @ e20 )
     != e22 )
   <= ( ( op2 @ e20 @ e23 )
      = e22 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl165]) ).

thf(zip_derived_cl27527,plain,
    ( ( e22 != e22 )
   <= ( ( ( op2 @ e20 @ e23 )
        = e22 )
      & ( ( op2 @ e20 @ e20 )
        = e22 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1554,zip_derived_cl25156]) ).

thf('10',plain,
    ( ( ( op2 @ e20 @ e20 )
     != e22 )
    | ( ( op2 @ e20 @ e23 )
     != e22 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27527]) ).

thf(co1,conjecture,
    ( ( ( ( ( h4 @ e13 )
          = e23 )
        | ( ( h4 @ e12 )
          = e23 )
        | ( ( h4 @ e11 )
          = e23 )
        | ( ( h4 @ e10 )
          = e23 ) )
      & ( ( ( h4 @ e13 )
          = e22 )
        | ( ( h4 @ e12 )
          = e22 )
        | ( ( h4 @ e11 )
          = e22 )
        | ( ( h4 @ e10 )
          = e22 ) )
      & ( ( ( h4 @ e13 )
          = e21 )
        | ( ( h4 @ e12 )
          = e21 )
        | ( ( h4 @ e11 )
          = e21 )
        | ( ( h4 @ e10 )
          = e21 ) )
      & ( ( ( h4 @ e13 )
          = e20 )
        | ( ( h4 @ e12 )
          = e20 )
        | ( ( h4 @ e11 )
          = e20 )
        | ( ( h4 @ e10 )
          = e20 ) )
      & ( ( h4 @ ( op1 @ e13 @ e13 ) )
        = ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
      & ( ( h4 @ ( op1 @ e13 @ e12 ) )
        = ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
      & ( ( h4 @ ( op1 @ e13 @ e11 ) )
        = ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
      & ( ( h4 @ ( op1 @ e13 @ e10 ) )
        = ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
      & ( ( h4 @ ( op1 @ e12 @ e13 ) )
        = ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
      & ( ( h4 @ ( op1 @ e12 @ e12 ) )
        = ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
      & ( ( h4 @ ( op1 @ e12 @ e11 ) )
        = ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
      & ( ( h4 @ ( op1 @ e12 @ e10 ) )
        = ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
      & ( ( h4 @ ( op1 @ e11 @ e13 ) )
        = ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
      & ( ( h4 @ ( op1 @ e11 @ e12 ) )
        = ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
      & ( ( h4 @ ( op1 @ e11 @ e11 ) )
        = ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
      & ( ( h4 @ ( op1 @ e11 @ e10 ) )
        = ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
      & ( ( h4 @ ( op1 @ e10 @ e13 ) )
        = ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
      & ( ( h4 @ ( op1 @ e10 @ e12 ) )
        = ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
      & ( ( h4 @ ( op1 @ e10 @ e11 ) )
        = ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
      & ( ( h4 @ ( op1 @ e10 @ e10 ) )
        = ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) )
    | ( ( ( ( h3 @ e13 )
          = e23 )
        | ( ( h3 @ e12 )
          = e23 )
        | ( ( h3 @ e11 )
          = e23 )
        | ( ( h3 @ e10 )
          = e23 ) )
      & ( ( ( h3 @ e13 )
          = e22 )
        | ( ( h3 @ e12 )
          = e22 )
        | ( ( h3 @ e11 )
          = e22 )
        | ( ( h3 @ e10 )
          = e22 ) )
      & ( ( ( h3 @ e13 )
          = e21 )
        | ( ( h3 @ e12 )
          = e21 )
        | ( ( h3 @ e11 )
          = e21 )
        | ( ( h3 @ e10 )
          = e21 ) )
      & ( ( ( h3 @ e13 )
          = e20 )
        | ( ( h3 @ e12 )
          = e20 )
        | ( ( h3 @ e11 )
          = e20 )
        | ( ( h3 @ e10 )
          = e20 ) )
      & ( ( h3 @ ( op1 @ e13 @ e13 ) )
        = ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
      & ( ( h3 @ ( op1 @ e13 @ e12 ) )
        = ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
      & ( ( h3 @ ( op1 @ e13 @ e11 ) )
        = ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
      & ( ( h3 @ ( op1 @ e13 @ e10 ) )
        = ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
      & ( ( h3 @ ( op1 @ e12 @ e13 ) )
        = ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
      & ( ( h3 @ ( op1 @ e12 @ e12 ) )
        = ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
      & ( ( h3 @ ( op1 @ e12 @ e11 ) )
        = ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
      & ( ( h3 @ ( op1 @ e12 @ e10 ) )
        = ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
      & ( ( h3 @ ( op1 @ e11 @ e13 ) )
        = ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
      & ( ( h3 @ ( op1 @ e11 @ e12 ) )
        = ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
      & ( ( h3 @ ( op1 @ e11 @ e11 ) )
        = ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
      & ( ( h3 @ ( op1 @ e11 @ e10 ) )
        = ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
      & ( ( h3 @ ( op1 @ e10 @ e13 ) )
        = ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
      & ( ( h3 @ ( op1 @ e10 @ e12 ) )
        = ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
      & ( ( h3 @ ( op1 @ e10 @ e11 ) )
        = ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
      & ( ( h3 @ ( op1 @ e10 @ e10 ) )
        = ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) )
    | ( ( ( ( h2 @ e13 )
          = e23 )
        | ( ( h2 @ e12 )
          = e23 )
        | ( ( h2 @ e11 )
          = e23 )
        | ( ( h2 @ e10 )
          = e23 ) )
      & ( ( ( h2 @ e13 )
          = e22 )
        | ( ( h2 @ e12 )
          = e22 )
        | ( ( h2 @ e11 )
          = e22 )
        | ( ( h2 @ e10 )
          = e22 ) )
      & ( ( ( h2 @ e13 )
          = e21 )
        | ( ( h2 @ e12 )
          = e21 )
        | ( ( h2 @ e11 )
          = e21 )
        | ( ( h2 @ e10 )
          = e21 ) )
      & ( ( ( h2 @ e13 )
          = e20 )
        | ( ( h2 @ e12 )
          = e20 )
        | ( ( h2 @ e11 )
          = e20 )
        | ( ( h2 @ e10 )
          = e20 ) )
      & ( ( h2 @ ( op1 @ e13 @ e13 ) )
        = ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
      & ( ( h2 @ ( op1 @ e13 @ e12 ) )
        = ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
      & ( ( h2 @ ( op1 @ e13 @ e11 ) )
        = ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
      & ( ( h2 @ ( op1 @ e13 @ e10 ) )
        = ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
      & ( ( h2 @ ( op1 @ e12 @ e13 ) )
        = ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
      & ( ( h2 @ ( op1 @ e12 @ e12 ) )
        = ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
      & ( ( h2 @ ( op1 @ e12 @ e11 ) )
        = ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
      & ( ( h2 @ ( op1 @ e12 @ e10 ) )
        = ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
      & ( ( h2 @ ( op1 @ e11 @ e13 ) )
        = ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
      & ( ( h2 @ ( op1 @ e11 @ e12 ) )
        = ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
      & ( ( h2 @ ( op1 @ e11 @ e11 ) )
        = ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
      & ( ( h2 @ ( op1 @ e11 @ e10 ) )
        = ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
      & ( ( h2 @ ( op1 @ e10 @ e13 ) )
        = ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
      & ( ( h2 @ ( op1 @ e10 @ e12 ) )
        = ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
      & ( ( h2 @ ( op1 @ e10 @ e11 ) )
        = ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
      & ( ( h2 @ ( op1 @ e10 @ e10 ) )
        = ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) )
    | ( ( ( ( h1 @ e13 )
          = e23 )
        | ( ( h1 @ e12 )
          = e23 )
        | ( ( h1 @ e11 )
          = e23 )
        | ( ( h1 @ e10 )
          = e23 ) )
      & ( ( ( h1 @ e13 )
          = e22 )
        | ( ( h1 @ e12 )
          = e22 )
        | ( ( h1 @ e11 )
          = e22 )
        | ( ( h1 @ e10 )
          = e22 ) )
      & ( ( ( h1 @ e13 )
          = e21 )
        | ( ( h1 @ e12 )
          = e21 )
        | ( ( h1 @ e11 )
          = e21 )
        | ( ( h1 @ e10 )
          = e21 ) )
      & ( ( ( h1 @ e13 )
          = e20 )
        | ( ( h1 @ e12 )
          = e20 )
        | ( ( h1 @ e11 )
          = e20 )
        | ( ( h1 @ e10 )
          = e20 ) )
      & ( ( h1 @ ( op1 @ e13 @ e13 ) )
        = ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
      & ( ( h1 @ ( op1 @ e13 @ e12 ) )
        = ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
      & ( ( h1 @ ( op1 @ e13 @ e11 ) )
        = ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
      & ( ( h1 @ ( op1 @ e13 @ e10 ) )
        = ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
      & ( ( h1 @ ( op1 @ e12 @ e13 ) )
        = ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
      & ( ( h1 @ ( op1 @ e12 @ e12 ) )
        = ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
      & ( ( h1 @ ( op1 @ e12 @ e11 ) )
        = ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
      & ( ( h1 @ ( op1 @ e12 @ e10 ) )
        = ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
      & ( ( h1 @ ( op1 @ e11 @ e13 ) )
        = ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
      & ( ( h1 @ ( op1 @ e11 @ e12 ) )
        = ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
      & ( ( h1 @ ( op1 @ e11 @ e11 ) )
        = ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
      & ( ( h1 @ ( op1 @ e11 @ e10 ) )
        = ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
      & ( ( h1 @ ( op1 @ e10 @ e13 ) )
        = ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
      & ( ( h1 @ ( op1 @ e10 @ e12 ) )
        = ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
      & ( ( h1 @ ( op1 @ e10 @ e11 ) )
        = ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
      & ( ( h1 @ ( op1 @ e10 @ e10 ) )
        = ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) ) ).

thf(zf_stmt_3,negated_conjecture,
    ~ ( ( ( ( ( h4 @ e13 )
            = e23 )
          | ( ( h4 @ e12 )
            = e23 )
          | ( ( h4 @ e11 )
            = e23 )
          | ( ( h4 @ e10 )
            = e23 ) )
        & ( ( ( h4 @ e13 )
            = e22 )
          | ( ( h4 @ e12 )
            = e22 )
          | ( ( h4 @ e11 )
            = e22 )
          | ( ( h4 @ e10 )
            = e22 ) )
        & ( ( ( h4 @ e13 )
            = e21 )
          | ( ( h4 @ e12 )
            = e21 )
          | ( ( h4 @ e11 )
            = e21 )
          | ( ( h4 @ e10 )
            = e21 ) )
        & ( ( ( h4 @ e13 )
            = e20 )
          | ( ( h4 @ e12 )
            = e20 )
          | ( ( h4 @ e11 )
            = e20 )
          | ( ( h4 @ e10 )
            = e20 ) )
        & ( ( h4 @ ( op1 @ e13 @ e13 ) )
          = ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
        & ( ( h4 @ ( op1 @ e13 @ e12 ) )
          = ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
        & ( ( h4 @ ( op1 @ e13 @ e11 ) )
          = ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
        & ( ( h4 @ ( op1 @ e13 @ e10 ) )
          = ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
        & ( ( h4 @ ( op1 @ e12 @ e13 ) )
          = ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
        & ( ( h4 @ ( op1 @ e12 @ e12 ) )
          = ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
        & ( ( h4 @ ( op1 @ e12 @ e11 ) )
          = ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
        & ( ( h4 @ ( op1 @ e12 @ e10 ) )
          = ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
        & ( ( h4 @ ( op1 @ e11 @ e13 ) )
          = ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
        & ( ( h4 @ ( op1 @ e11 @ e12 ) )
          = ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
        & ( ( h4 @ ( op1 @ e11 @ e11 ) )
          = ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
        & ( ( h4 @ ( op1 @ e11 @ e10 ) )
          = ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
        & ( ( h4 @ ( op1 @ e10 @ e13 ) )
          = ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
        & ( ( h4 @ ( op1 @ e10 @ e12 ) )
          = ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
        & ( ( h4 @ ( op1 @ e10 @ e11 ) )
          = ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
        & ( ( h4 @ ( op1 @ e10 @ e10 ) )
          = ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) )
      | ( ( ( ( h3 @ e13 )
            = e23 )
          | ( ( h3 @ e12 )
            = e23 )
          | ( ( h3 @ e11 )
            = e23 )
          | ( ( h3 @ e10 )
            = e23 ) )
        & ( ( ( h3 @ e13 )
            = e22 )
          | ( ( h3 @ e12 )
            = e22 )
          | ( ( h3 @ e11 )
            = e22 )
          | ( ( h3 @ e10 )
            = e22 ) )
        & ( ( ( h3 @ e13 )
            = e21 )
          | ( ( h3 @ e12 )
            = e21 )
          | ( ( h3 @ e11 )
            = e21 )
          | ( ( h3 @ e10 )
            = e21 ) )
        & ( ( ( h3 @ e13 )
            = e20 )
          | ( ( h3 @ e12 )
            = e20 )
          | ( ( h3 @ e11 )
            = e20 )
          | ( ( h3 @ e10 )
            = e20 ) )
        & ( ( h3 @ ( op1 @ e13 @ e13 ) )
          = ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
        & ( ( h3 @ ( op1 @ e13 @ e12 ) )
          = ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
        & ( ( h3 @ ( op1 @ e13 @ e11 ) )
          = ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
        & ( ( h3 @ ( op1 @ e13 @ e10 ) )
          = ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
        & ( ( h3 @ ( op1 @ e12 @ e13 ) )
          = ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
        & ( ( h3 @ ( op1 @ e12 @ e12 ) )
          = ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
        & ( ( h3 @ ( op1 @ e12 @ e11 ) )
          = ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
        & ( ( h3 @ ( op1 @ e12 @ e10 ) )
          = ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
        & ( ( h3 @ ( op1 @ e11 @ e13 ) )
          = ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
        & ( ( h3 @ ( op1 @ e11 @ e12 ) )
          = ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
        & ( ( h3 @ ( op1 @ e11 @ e11 ) )
          = ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
        & ( ( h3 @ ( op1 @ e11 @ e10 ) )
          = ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
        & ( ( h3 @ ( op1 @ e10 @ e13 ) )
          = ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
        & ( ( h3 @ ( op1 @ e10 @ e12 ) )
          = ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
        & ( ( h3 @ ( op1 @ e10 @ e11 ) )
          = ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
        & ( ( h3 @ ( op1 @ e10 @ e10 ) )
          = ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) )
      | ( ( ( ( h2 @ e13 )
            = e23 )
          | ( ( h2 @ e12 )
            = e23 )
          | ( ( h2 @ e11 )
            = e23 )
          | ( ( h2 @ e10 )
            = e23 ) )
        & ( ( ( h2 @ e13 )
            = e22 )
          | ( ( h2 @ e12 )
            = e22 )
          | ( ( h2 @ e11 )
            = e22 )
          | ( ( h2 @ e10 )
            = e22 ) )
        & ( ( ( h2 @ e13 )
            = e21 )
          | ( ( h2 @ e12 )
            = e21 )
          | ( ( h2 @ e11 )
            = e21 )
          | ( ( h2 @ e10 )
            = e21 ) )
        & ( ( ( h2 @ e13 )
            = e20 )
          | ( ( h2 @ e12 )
            = e20 )
          | ( ( h2 @ e11 )
            = e20 )
          | ( ( h2 @ e10 )
            = e20 ) )
        & ( ( h2 @ ( op1 @ e13 @ e13 ) )
          = ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
        & ( ( h2 @ ( op1 @ e13 @ e12 ) )
          = ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
        & ( ( h2 @ ( op1 @ e13 @ e11 ) )
          = ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
        & ( ( h2 @ ( op1 @ e13 @ e10 ) )
          = ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
        & ( ( h2 @ ( op1 @ e12 @ e13 ) )
          = ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
        & ( ( h2 @ ( op1 @ e12 @ e12 ) )
          = ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
        & ( ( h2 @ ( op1 @ e12 @ e11 ) )
          = ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
        & ( ( h2 @ ( op1 @ e12 @ e10 ) )
          = ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
        & ( ( h2 @ ( op1 @ e11 @ e13 ) )
          = ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
        & ( ( h2 @ ( op1 @ e11 @ e12 ) )
          = ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
        & ( ( h2 @ ( op1 @ e11 @ e11 ) )
          = ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
        & ( ( h2 @ ( op1 @ e11 @ e10 ) )
          = ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
        & ( ( h2 @ ( op1 @ e10 @ e13 ) )
          = ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
        & ( ( h2 @ ( op1 @ e10 @ e12 ) )
          = ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
        & ( ( h2 @ ( op1 @ e10 @ e11 ) )
          = ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
        & ( ( h2 @ ( op1 @ e10 @ e10 ) )
          = ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) )
      | ( ( ( ( h1 @ e13 )
            = e23 )
          | ( ( h1 @ e12 )
            = e23 )
          | ( ( h1 @ e11 )
            = e23 )
          | ( ( h1 @ e10 )
            = e23 ) )
        & ( ( ( h1 @ e13 )
            = e22 )
          | ( ( h1 @ e12 )
            = e22 )
          | ( ( h1 @ e11 )
            = e22 )
          | ( ( h1 @ e10 )
            = e22 ) )
        & ( ( ( h1 @ e13 )
            = e21 )
          | ( ( h1 @ e12 )
            = e21 )
          | ( ( h1 @ e11 )
            = e21 )
          | ( ( h1 @ e10 )
            = e21 ) )
        & ( ( ( h1 @ e13 )
            = e20 )
          | ( ( h1 @ e12 )
            = e20 )
          | ( ( h1 @ e11 )
            = e20 )
          | ( ( h1 @ e10 )
            = e20 ) )
        & ( ( h1 @ ( op1 @ e13 @ e13 ) )
          = ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
        & ( ( h1 @ ( op1 @ e13 @ e12 ) )
          = ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
        & ( ( h1 @ ( op1 @ e13 @ e11 ) )
          = ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
        & ( ( h1 @ ( op1 @ e13 @ e10 ) )
          = ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
        & ( ( h1 @ ( op1 @ e12 @ e13 ) )
          = ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
        & ( ( h1 @ ( op1 @ e12 @ e12 ) )
          = ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
        & ( ( h1 @ ( op1 @ e12 @ e11 ) )
          = ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
        & ( ( h1 @ ( op1 @ e12 @ e10 ) )
          = ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
        & ( ( h1 @ ( op1 @ e11 @ e13 ) )
          = ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
        & ( ( h1 @ ( op1 @ e11 @ e12 ) )
          = ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
        & ( ( h1 @ ( op1 @ e11 @ e11 ) )
          = ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
        & ( ( h1 @ ( op1 @ e11 @ e10 ) )
          = ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
        & ( ( h1 @ ( op1 @ e10 @ e13 ) )
          = ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
        & ( ( h1 @ ( op1 @ e10 @ e12 ) )
          = ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
        & ( ( h1 @ ( op1 @ e10 @ e11 ) )
          = ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
        & ( ( h1 @ ( op1 @ e10 @ e10 ) )
          = ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl564,plain,
    ( ( ( h2 @ e13 )
     != e23 )
    | ( ( h2 @ e12 )
     != e22 )
    | ( ( h2 @ e13 )
     != e21 )
    | ( ( h2 @ e10 )
     != e20 )
    | ( ( h2 @ ( op1 @ e13 @ e13 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
    | ( ( h2 @ ( op1 @ e13 @ e12 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
    | ( ( h2 @ ( op1 @ e13 @ e11 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
    | ( ( h2 @ ( op1 @ e13 @ e10 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
    | ( ( h2 @ ( op1 @ e12 @ e13 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
    | ( ( h2 @ ( op1 @ e12 @ e12 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
    | ( ( h2 @ ( op1 @ e12 @ e11 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
    | ( ( h2 @ ( op1 @ e12 @ e10 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
    | ( ( h2 @ ( op1 @ e11 @ e13 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
    | ( ( h2 @ ( op1 @ e11 @ e12 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
    | ( ( h2 @ ( op1 @ e11 @ e11 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
    | ( ( h2 @ ( op1 @ e11 @ e10 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
    | ( ( h2 @ ( op1 @ e10 @ e13 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
    | ( ( h2 @ ( op1 @ e10 @ e12 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
    | ( ( h2 @ ( op1 @ e10 @ e11 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
    | ( ( h2 @ ( op1 @ e10 @ e10 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl7533,plain,
    ( ( ( h2 @ e12 )
     != e22 )
   <= ( ( h2 @ e12 )
     != e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl564]) ).

thf(ax15,axiom,
    ( ( ( h2 @ e13 )
      = ( op2 @ e21 @ ( op2 @ ( op2 @ e21 @ e21 ) @ e21 ) ) )
    & ( ( h2 @ e12 )
      = ( op2 @ e21 @ e21 ) )
    & ( ( h2 @ e10 )
      = ( op2 @ ( op2 @ e21 @ e21 ) @ e21 ) )
    & ( ( h2 @ e11 )
      = e21 ) ) ).

thf(zip_derived_cl265,plain,
    ( ( h2 @ e12 )
    = ( op2 @ e21 @ e21 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl258_009,plain,
    ( e22
    = ( op2 @ e21 @ e21 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl22582,plain,
    ( ( h2 @ e12 )
    = e22 ),
    inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl258]) ).

thf(zip_derived_cl22816,plain,
    ( ( e22 != e22 )
   <= ( ( h2 @ e12 )
     != e22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl7533,zip_derived_cl22582]) ).

thf('11',plain,
    ( ( h2 @ e12 )
    = e22 ),
    inference(simplify,[status(thm)],[zip_derived_cl22816]) ).

thf(zip_derived_cl540,plain,
    ( ( ( h2 @ e13 )
     != e23 )
    | ( ( h2 @ e10 )
     != e22 )
    | ( ( h2 @ e11 )
     != e21 )
    | ( ( h2 @ e10 )
     != e20 )
    | ( ( h2 @ ( op1 @ e13 @ e13 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
    | ( ( h2 @ ( op1 @ e13 @ e12 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
    | ( ( h2 @ ( op1 @ e13 @ e11 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
    | ( ( h2 @ ( op1 @ e13 @ e10 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
    | ( ( h2 @ ( op1 @ e12 @ e13 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
    | ( ( h2 @ ( op1 @ e12 @ e12 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
    | ( ( h2 @ ( op1 @ e12 @ e11 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
    | ( ( h2 @ ( op1 @ e12 @ e10 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
    | ( ( h2 @ ( op1 @ e11 @ e13 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
    | ( ( h2 @ ( op1 @ e11 @ e12 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
    | ( ( h2 @ ( op1 @ e11 @ e11 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
    | ( ( h2 @ ( op1 @ e11 @ e10 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
    | ( ( h2 @ ( op1 @ e10 @ e13 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
    | ( ( h2 @ ( op1 @ e10 @ e12 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
    | ( ( h2 @ ( op1 @ e10 @ e11 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
    | ( ( h2 @ ( op1 @ e10 @ e10 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl7052,plain,
    ( ( ( h2 @ e11 )
     != e21 )
   <= ( ( h2 @ e11 )
     != e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl540]) ).

thf(zip_derived_cl267,plain,
    ( ( h2 @ e11 )
    = e21 ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl22629,plain,
    ( ( e21 != e21 )
   <= ( ( h2 @ e11 )
     != e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl7052,zip_derived_cl267]) ).

thf('12',plain,
    ( ( h2 @ e11 )
    = e21 ),
    inference(simplify,[status(thm)],[zip_derived_cl22629]) ).

thf(zip_derived_cl532,plain,
    ( ( ( h2 @ e13 )
     != e23 )
    | ( ( h2 @ e10 )
     != e22 )
    | ( ( h2 @ e13 )
     != e21 )
    | ( ( h2 @ e10 )
     != e20 )
    | ( ( h2 @ ( op1 @ e13 @ e13 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
    | ( ( h2 @ ( op1 @ e13 @ e12 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
    | ( ( h2 @ ( op1 @ e13 @ e11 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
    | ( ( h2 @ ( op1 @ e13 @ e10 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
    | ( ( h2 @ ( op1 @ e12 @ e13 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
    | ( ( h2 @ ( op1 @ e12 @ e12 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
    | ( ( h2 @ ( op1 @ e12 @ e11 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
    | ( ( h2 @ ( op1 @ e12 @ e10 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
    | ( ( h2 @ ( op1 @ e11 @ e13 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
    | ( ( h2 @ ( op1 @ e11 @ e12 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
    | ( ( h2 @ ( op1 @ e11 @ e11 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
    | ( ( h2 @ ( op1 @ e11 @ e10 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
    | ( ( h2 @ ( op1 @ e10 @ e13 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
    | ( ( h2 @ ( op1 @ e10 @ e12 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
    | ( ( h2 @ ( op1 @ e10 @ e11 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
    | ( ( h2 @ ( op1 @ e10 @ e10 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl6892,plain,
    ( ( ( h2 @ e10 )
     != e20 )
   <= ( ( h2 @ e10 )
     != e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl532]) ).

thf(zip_derived_cl266,plain,
    ( ( h2 @ e10 )
    = ( op2 @ ( op2 @ e21 @ e21 ) @ e21 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl258_010,plain,
    ( e22
    = ( op2 @ e21 @ e21 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl22557_011,plain,
    ( e20
    = ( op2 @ e22 @ e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).

thf(zip_derived_cl22587,plain,
    ( ( h2 @ e10 )
    = e20 ),
    inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl258,zip_derived_cl22557]) ).

thf(zip_derived_cl22594,plain,
    ( ( e20 != e20 )
   <= ( ( h2 @ e10 )
     != e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6892,zip_derived_cl22587]) ).

thf('13',plain,
    ( ( h2 @ e10 )
    = e20 ),
    inference(simplify,[status(thm)],[zip_derived_cl22594]) ).

thf(zip_derived_cl6881,plain,
    ( ( ( h2 @ ( op1 @ e11 @ e11 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
   <= ( ( h2 @ ( op1 @ e11 @ e11 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl532]) ).

thf(ax12,axiom,
    ( ( e13
      = ( op1 @ e11 @ ( op1 @ ( op1 @ e11 @ e11 ) @ e11 ) ) )
    & ( e12
      = ( op1 @ e11 @ e11 ) )
    & ( e10
      = ( op1 @ ( op1 @ e11 @ e11 ) @ e11 ) ) ) ).

thf(zip_derived_cl255,plain,
    ( e12
    = ( op1 @ e11 @ e11 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl22582_012,plain,
    ( ( h2 @ e12 )
    = e22 ),
    inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl258]) ).

thf(zip_derived_cl267_013,plain,
    ( ( h2 @ e11 )
    = e21 ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl267_014,plain,
    ( ( h2 @ e11 )
    = e21 ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl258_015,plain,
    ( e22
    = ( op2 @ e21 @ e21 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl34948,plain,
    ( ( e22 != e22 )
   <= ( ( h2 @ ( op1 @ e11 @ e11 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6881,zip_derived_cl255,zip_derived_cl22582,zip_derived_cl267,zip_derived_cl267,zip_derived_cl258]) ).

thf('14',plain,
    ( ( h2 @ ( op1 @ e11 @ e11 ) )
    = ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl34948]) ).

thf(zip_derived_cl6880,plain,
    ( ( ( h2 @ ( op1 @ e11 @ e10 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
   <= ( ( h2 @ ( op1 @ e11 @ e10 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl532]) ).

thf(zip_derived_cl254,plain,
    ( e13
    = ( op1 @ e11 @ ( op1 @ ( op1 @ e11 @ e11 ) @ e11 ) ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl255_016,plain,
    ( e12
    = ( op1 @ e11 @ e11 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl22534,plain,
    ( e13
    = ( op1 @ e11 @ ( op1 @ e12 @ e11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl255]) ).

thf(zip_derived_cl256,plain,
    ( e10
    = ( op1 @ ( op1 @ e11 @ e11 ) @ e11 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl255_017,plain,
    ( e12
    = ( op1 @ e11 @ e11 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl22537,plain,
    ( e10
    = ( op1 @ e12 @ e11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl255]) ).

thf(zip_derived_cl27029,plain,
    ( e13
    = ( op1 @ e11 @ e10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22534,zip_derived_cl22537]) ).

thf(zip_derived_cl264,plain,
    ( ( h2 @ e13 )
    = ( op2 @ e21 @ ( op2 @ ( op2 @ e21 @ e21 ) @ e21 ) ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl258_018,plain,
    ( e22
    = ( op2 @ e21 @ e21 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl22557_019,plain,
    ( e20
    = ( op2 @ e22 @ e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).

thf(zip_derived_cl22575,plain,
    ( ( h2 @ e13 )
    = ( op2 @ e21 @ e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl264,zip_derived_cl258,zip_derived_cl22557]) ).

thf(zip_derived_cl27398_020,plain,
    ( e23
    = ( op2 @ e21 @ e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22552,zip_derived_cl22557]) ).

thf(zip_derived_cl27405,plain,
    ( ( h2 @ e13 )
    = e23 ),
    inference(demod,[status(thm)],[zip_derived_cl22575,zip_derived_cl27398]) ).

thf(zip_derived_cl267_021,plain,
    ( ( h2 @ e11 )
    = e21 ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl22587_022,plain,
    ( ( h2 @ e10 )
    = e20 ),
    inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl258,zip_derived_cl22557]) ).

thf(zip_derived_cl27398_023,plain,
    ( e23
    = ( op2 @ e21 @ e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22552,zip_derived_cl22557]) ).

thf(zip_derived_cl34946,plain,
    ( ( e23 != e23 )
   <= ( ( h2 @ ( op1 @ e11 @ e10 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6880,zip_derived_cl27029,zip_derived_cl27405,zip_derived_cl267,zip_derived_cl22587,zip_derived_cl27398]) ).

thf('15',plain,
    ( ( h2 @ ( op1 @ e11 @ e10 ) )
    = ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl34946]) ).

thf(zip_derived_cl6885,plain,
    ( ( ( h2 @ ( op1 @ e12 @ e11 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
   <= ( ( h2 @ ( op1 @ e12 @ e11 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl532]) ).

thf(zip_derived_cl22537_024,plain,
    ( e10
    = ( op1 @ e12 @ e11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl255]) ).

thf(zip_derived_cl22587_025,plain,
    ( ( h2 @ e10 )
    = e20 ),
    inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl258,zip_derived_cl22557]) ).

thf(zip_derived_cl22582_026,plain,
    ( ( h2 @ e12 )
    = e22 ),
    inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl258]) ).

thf(zip_derived_cl267_027,plain,
    ( ( h2 @ e11 )
    = e21 ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl22557_028,plain,
    ( e20
    = ( op2 @ e22 @ e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).

thf(zip_derived_cl34966,plain,
    ( ( e20 != e20 )
   <= ( ( h2 @ ( op1 @ e12 @ e11 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6885,zip_derived_cl22537,zip_derived_cl22587,zip_derived_cl22582,zip_derived_cl267,zip_derived_cl22557]) ).

thf('16',plain,
    ( ( h2 @ ( op1 @ e12 @ e11 ) )
    = ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl34966]) ).

thf(zip_derived_cl59,plain,
    ( ( ( op2 @ e21 @ e20 )
      = e23 )
    | ( ( op2 @ e21 @ e20 )
      = e22 )
    | ( ( op2 @ e21 @ e20 )
      = e21 )
    | ( ( op2 @ e21 @ e20 )
      = e20 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl1539,plain,
    ( ( ( op2 @ e21 @ e20 )
      = e23 )
   <= ( ( op2 @ e21 @ e20 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl6895,plain,
    ( ( ( h2 @ e13 )
     != e23 )
   <= ( ( h2 @ e13 )
     != e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl532]) ).

thf(zip_derived_cl22575_029,plain,
    ( ( h2 @ e13 )
    = ( op2 @ e21 @ e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl264,zip_derived_cl258,zip_derived_cl22557]) ).

thf(zip_derived_cl22598,plain,
    ( ( ( op2 @ e21 @ e20 )
     != e23 )
   <= ( ( h2 @ e13 )
     != e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6895,zip_derived_cl22575]) ).

thf(zip_derived_cl25132,plain,
    ( ( e23 != e23 )
   <= ( ( ( h2 @ e13 )
       != e23 )
      & ( ( op2 @ e21 @ e20 )
        = e23 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl22598]) ).

thf('17',plain,
    ( ( ( h2 @ e13 )
      = e23 )
    | ( ( op2 @ e21 @ e20 )
     != e23 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl25132]) ).

thf(zip_derived_cl1496_030,plain,
    ( ( ( op2 @ e23 @ e22 )
      = e20 )
   <= ( ( op2 @ e23 @ e22 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(ax1,axiom,
    ( ( ( ( op1 @ e13 @ e13 )
        = e13 )
      | ( ( op1 @ e13 @ e13 )
        = e12 )
      | ( ( op1 @ e13 @ e13 )
        = e11 )
      | ( ( op1 @ e13 @ e13 )
        = e10 ) )
    & ( ( ( op1 @ e13 @ e12 )
        = e13 )
      | ( ( op1 @ e13 @ e12 )
        = e12 )
      | ( ( op1 @ e13 @ e12 )
        = e11 )
      | ( ( op1 @ e13 @ e12 )
        = e10 ) )
    & ( ( ( op1 @ e13 @ e11 )
        = e13 )
      | ( ( op1 @ e13 @ e11 )
        = e12 )
      | ( ( op1 @ e13 @ e11 )
        = e11 )
      | ( ( op1 @ e13 @ e11 )
        = e10 ) )
    & ( ( ( op1 @ e13 @ e10 )
        = e13 )
      | ( ( op1 @ e13 @ e10 )
        = e12 )
      | ( ( op1 @ e13 @ e10 )
        = e11 )
      | ( ( op1 @ e13 @ e10 )
        = e10 ) )
    & ( ( ( op1 @ e12 @ e13 )
        = e13 )
      | ( ( op1 @ e12 @ e13 )
        = e12 )
      | ( ( op1 @ e12 @ e13 )
        = e11 )
      | ( ( op1 @ e12 @ e13 )
        = e10 ) )
    & ( ( ( op1 @ e12 @ e12 )
        = e13 )
      | ( ( op1 @ e12 @ e12 )
        = e12 )
      | ( ( op1 @ e12 @ e12 )
        = e11 )
      | ( ( op1 @ e12 @ e12 )
        = e10 ) )
    & ( ( ( op1 @ e12 @ e11 )
        = e13 )
      | ( ( op1 @ e12 @ e11 )
        = e12 )
      | ( ( op1 @ e12 @ e11 )
        = e11 )
      | ( ( op1 @ e12 @ e11 )
        = e10 ) )
    & ( ( ( op1 @ e12 @ e10 )
        = e13 )
      | ( ( op1 @ e12 @ e10 )
        = e12 )
      | ( ( op1 @ e12 @ e10 )
        = e11 )
      | ( ( op1 @ e12 @ e10 )
        = e10 ) )
    & ( ( ( op1 @ e11 @ e13 )
        = e13 )
      | ( ( op1 @ e11 @ e13 )
        = e12 )
      | ( ( op1 @ e11 @ e13 )
        = e11 )
      | ( ( op1 @ e11 @ e13 )
        = e10 ) )
    & ( ( ( op1 @ e11 @ e12 )
        = e13 )
      | ( ( op1 @ e11 @ e12 )
        = e12 )
      | ( ( op1 @ e11 @ e12 )
        = e11 )
      | ( ( op1 @ e11 @ e12 )
        = e10 ) )
    & ( ( ( op1 @ e11 @ e11 )
        = e13 )
      | ( ( op1 @ e11 @ e11 )
        = e12 )
      | ( ( op1 @ e11 @ e11 )
        = e11 )
      | ( ( op1 @ e11 @ e11 )
        = e10 ) )
    & ( ( ( op1 @ e11 @ e10 )
        = e13 )
      | ( ( op1 @ e11 @ e10 )
        = e12 )
      | ( ( op1 @ e11 @ e10 )
        = e11 )
      | ( ( op1 @ e11 @ e10 )
        = e10 ) )
    & ( ( ( op1 @ e10 @ e13 )
        = e13 )
      | ( ( op1 @ e10 @ e13 )
        = e12 )
      | ( ( op1 @ e10 @ e13 )
        = e11 )
      | ( ( op1 @ e10 @ e13 )
        = e10 ) )
    & ( ( ( op1 @ e10 @ e12 )
        = e13 )
      | ( ( op1 @ e10 @ e12 )
        = e12 )
      | ( ( op1 @ e10 @ e12 )
        = e11 )
      | ( ( op1 @ e10 @ e12 )
        = e10 ) )
    & ( ( ( op1 @ e10 @ e11 )
        = e13 )
      | ( ( op1 @ e10 @ e11 )
        = e12 )
      | ( ( op1 @ e10 @ e11 )
        = e11 )
      | ( ( op1 @ e10 @ e11 )
        = e10 ) )
    & ( ( ( op1 @ e10 @ e10 )
        = e13 )
      | ( ( op1 @ e10 @ e10 )
        = e12 )
      | ( ( op1 @ e10 @ e10 )
        = e11 )
      | ( ( op1 @ e10 @ e10 )
        = e10 ) ) ) ).

thf(zip_derived_cl1,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e13 )
    | ( ( op1 @ e13 @ e12 )
      = e12 )
    | ( ( op1 @ e13 @ e12 )
      = e11 )
    | ( ( op1 @ e13 @ e12 )
      = e10 ) ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1304,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e10 )
   <= ( ( op1 @ e13 @ e12 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl6890,plain,
    ( ( ( h2 @ ( op1 @ e13 @ e12 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
   <= ( ( h2 @ ( op1 @ e13 @ e12 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl532]) ).

thf(zip_derived_cl27405_031,plain,
    ( ( h2 @ e13 )
    = e23 ),
    inference(demod,[status(thm)],[zip_derived_cl22575,zip_derived_cl27398]) ).

thf(zip_derived_cl22582_032,plain,
    ( ( h2 @ e12 )
    = e22 ),
    inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl258]) ).

thf(zip_derived_cl34984,plain,
    ( ( ( h2 @ ( op1 @ e13 @ e12 ) )
     != ( op2 @ e23 @ e22 ) )
   <= ( ( h2 @ ( op1 @ e13 @ e12 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6890,zip_derived_cl27405,zip_derived_cl22582]) ).

thf(zip_derived_cl34985,plain,
    ( ( ( h2 @ e10 )
     != ( op2 @ e23 @ e22 ) )
   <= ( ( ( h2 @ ( op1 @ e13 @ e12 ) )
       != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
      & ( ( op1 @ e13 @ e12 )
        = e10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1304,zip_derived_cl34984]) ).

thf(zip_derived_cl22587_033,plain,
    ( ( h2 @ e10 )
    = e20 ),
    inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl258,zip_derived_cl22557]) ).

thf(zip_derived_cl34987,plain,
    ( ( e20
     != ( op2 @ e23 @ e22 ) )
   <= ( ( ( h2 @ ( op1 @ e13 @ e12 ) )
       != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
      & ( ( op1 @ e13 @ e12 )
        = e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl34985,zip_derived_cl22587]) ).

thf(zip_derived_cl35073,plain,
    ( ( e20 != e20 )
   <= ( ( ( h2 @ ( op1 @ e13 @ e12 ) )
       != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
      & ( ( op1 @ e13 @ e12 )
        = e10 )
      & ( ( op2 @ e23 @ e22 )
        = e20 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1496,zip_derived_cl34987]) ).

thf('18',plain,
    ( ( ( h2 @ ( op1 @ e13 @ e12 ) )
      = ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
    | ( ( op2 @ e23 @ e22 )
     != e20 )
    | ( ( op1 @ e13 @ e12 )
     != e10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl35073]) ).

thf(zip_derived_cl57,plain,
    ( ( ( op2 @ e21 @ e22 )
      = e23 )
    | ( ( op2 @ e21 @ e22 )
      = e22 )
    | ( ( op2 @ e21 @ e22 )
      = e21 )
    | ( ( op2 @ e21 @ e22 )
      = e20 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl1529,plain,
    ( ( ( op2 @ e21 @ e22 )
      = e21 )
   <= ( ( op2 @ e21 @ e22 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl9,plain,
    ( ( ( op1 @ e11 @ e12 )
      = e13 )
    | ( ( op1 @ e11 @ e12 )
      = e12 )
    | ( ( op1 @ e11 @ e12 )
      = e11 )
    | ( ( op1 @ e11 @ e12 )
      = e10 ) ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1337,plain,
    ( ( ( op1 @ e11 @ e12 )
      = e11 )
   <= ( ( op1 @ e11 @ e12 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl6882,plain,
    ( ( ( h2 @ ( op1 @ e11 @ e12 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
   <= ( ( h2 @ ( op1 @ e11 @ e12 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl532]) ).

thf(zip_derived_cl267_034,plain,
    ( ( h2 @ e11 )
    = e21 ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl22582_035,plain,
    ( ( h2 @ e12 )
    = e22 ),
    inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl258]) ).

thf(zip_derived_cl34950,plain,
    ( ( ( h2 @ ( op1 @ e11 @ e12 ) )
     != ( op2 @ e21 @ e22 ) )
   <= ( ( h2 @ ( op1 @ e11 @ e12 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6882,zip_derived_cl267,zip_derived_cl22582]) ).

thf(zip_derived_cl34952,plain,
    ( ( ( h2 @ e11 )
     != ( op2 @ e21 @ e22 ) )
   <= ( ( ( h2 @ ( op1 @ e11 @ e12 ) )
       != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
      & ( ( op1 @ e11 @ e12 )
        = e11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1337,zip_derived_cl34950]) ).

thf(zip_derived_cl267_036,plain,
    ( ( h2 @ e11 )
    = e21 ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl34954,plain,
    ( ( e21
     != ( op2 @ e21 @ e22 ) )
   <= ( ( ( h2 @ ( op1 @ e11 @ e12 ) )
       != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
      & ( ( op1 @ e11 @ e12 )
        = e11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl34952,zip_derived_cl267]) ).

thf(zip_derived_cl35046,plain,
    ( ( e21 != e21 )
   <= ( ( ( h2 @ ( op1 @ e11 @ e12 ) )
       != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
      & ( ( op1 @ e11 @ e12 )
        = e11 )
      & ( ( op2 @ e21 @ e22 )
        = e21 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl34954]) ).

thf('19',plain,
    ( ( ( h2 @ ( op1 @ e11 @ e12 ) )
      = ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
    | ( ( op2 @ e21 @ e22 )
     != e21 )
    | ( ( op1 @ e11 @ e12 )
     != e11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl35046]) ).

thf(zip_derived_cl56,plain,
    ( ( ( op2 @ e21 @ e23 )
      = e23 )
    | ( ( op2 @ e21 @ e23 )
      = e22 )
    | ( ( op2 @ e21 @ e23 )
      = e21 )
    | ( ( op2 @ e21 @ e23 )
      = e20 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl1524,plain,
    ( ( ( op2 @ e21 @ e23 )
      = e20 )
   <= ( ( op2 @ e21 @ e23 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl8,plain,
    ( ( ( op1 @ e11 @ e13 )
      = e13 )
    | ( ( op1 @ e11 @ e13 )
      = e12 )
    | ( ( op1 @ e11 @ e13 )
      = e11 )
    | ( ( op1 @ e11 @ e13 )
      = e10 ) ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1332,plain,
    ( ( ( op1 @ e11 @ e13 )
      = e10 )
   <= ( ( op1 @ e11 @ e13 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl6883,plain,
    ( ( ( h2 @ ( op1 @ e11 @ e13 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
   <= ( ( h2 @ ( op1 @ e11 @ e13 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl532]) ).

thf(zip_derived_cl267_037,plain,
    ( ( h2 @ e11 )
    = e21 ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl27405_038,plain,
    ( ( h2 @ e13 )
    = e23 ),
    inference(demod,[status(thm)],[zip_derived_cl22575,zip_derived_cl27398]) ).

thf(zip_derived_cl34955,plain,
    ( ( ( h2 @ ( op1 @ e11 @ e13 ) )
     != ( op2 @ e21 @ e23 ) )
   <= ( ( h2 @ ( op1 @ e11 @ e13 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6883,zip_derived_cl267,zip_derived_cl27405]) ).

thf(zip_derived_cl34956,plain,
    ( ( ( h2 @ e10 )
     != ( op2 @ e21 @ e23 ) )
   <= ( ( ( h2 @ ( op1 @ e11 @ e13 ) )
       != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
      & ( ( op1 @ e11 @ e13 )
        = e10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1332,zip_derived_cl34955]) ).

thf(zip_derived_cl22587_039,plain,
    ( ( h2 @ e10 )
    = e20 ),
    inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl258,zip_derived_cl22557]) ).

thf(zip_derived_cl34958,plain,
    ( ( e20
     != ( op2 @ e21 @ e23 ) )
   <= ( ( ( h2 @ ( op1 @ e11 @ e13 ) )
       != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
      & ( ( op1 @ e11 @ e13 )
        = e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl34956,zip_derived_cl22587]) ).

thf(zip_derived_cl35048,plain,
    ( ( e20 != e20 )
   <= ( ( ( h2 @ ( op1 @ e11 @ e13 ) )
       != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
      & ( ( op1 @ e11 @ e13 )
        = e10 )
      & ( ( op2 @ e21 @ e23 )
        = e20 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl34958]) ).

thf('20',plain,
    ( ( ( h2 @ ( op1 @ e11 @ e13 ) )
      = ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
    | ( ( op2 @ e21 @ e23 )
     != e20 )
    | ( ( op1 @ e11 @ e13 )
     != e10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl35048]) ).

thf(zip_derived_cl15,plain,
    ( ( ( op1 @ e10 @ e10 )
      = e13 )
    | ( ( op1 @ e10 @ e10 )
      = e12 )
    | ( ( op1 @ e10 @ e10 )
      = e11 )
    | ( ( op1 @ e10 @ e10 )
      = e10 ) ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1363,plain,
    ( ( ( op1 @ e10 @ e10 )
      = e13 )
   <= ( ( op1 @ e10 @ e10 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl11,plain,
    ( ( ( op1 @ e11 @ e10 )
      = e13 )
    | ( ( op1 @ e11 @ e10 )
      = e12 )
    | ( ( op1 @ e11 @ e10 )
      = e11 )
    | ( ( op1 @ e11 @ e10 )
      = e10 ) ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1347,plain,
    ( ( ( op1 @ e11 @ e10 )
      = e13 )
   <= ( ( op1 @ e11 @ e10 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(ax5,axiom,
    ( ( ( op1 @ e13 @ e12 )
     != ( op1 @ e13 @ e13 ) )
    & ( ( op1 @ e13 @ e11 )
     != ( op1 @ e13 @ e13 ) )
    & ( ( op1 @ e13 @ e11 )
     != ( op1 @ e13 @ e12 ) )
    & ( ( op1 @ e13 @ e10 )
     != ( op1 @ e13 @ e13 ) )
    & ( ( op1 @ e13 @ e10 )
     != ( op1 @ e13 @ e12 ) )
    & ( ( op1 @ e13 @ e10 )
     != ( op1 @ e13 @ e11 ) )
    & ( ( op1 @ e12 @ e12 )
     != ( op1 @ e12 @ e13 ) )
    & ( ( op1 @ e12 @ e11 )
     != ( op1 @ e12 @ e13 ) )
    & ( ( op1 @ e12 @ e11 )
     != ( op1 @ e12 @ e12 ) )
    & ( ( op1 @ e12 @ e10 )
     != ( op1 @ e12 @ e13 ) )
    & ( ( op1 @ e12 @ e10 )
     != ( op1 @ e12 @ e12 ) )
    & ( ( op1 @ e12 @ e10 )
     != ( op1 @ e12 @ e11 ) )
    & ( ( op1 @ e11 @ e12 )
     != ( op1 @ e11 @ e13 ) )
    & ( ( op1 @ e11 @ e11 )
     != ( op1 @ e11 @ e13 ) )
    & ( ( op1 @ e11 @ e11 )
     != ( op1 @ e11 @ e12 ) )
    & ( ( op1 @ e11 @ e10 )
     != ( op1 @ e11 @ e13 ) )
    & ( ( op1 @ e11 @ e10 )
     != ( op1 @ e11 @ e12 ) )
    & ( ( op1 @ e11 @ e10 )
     != ( op1 @ e11 @ e11 ) )
    & ( ( op1 @ e10 @ e12 )
     != ( op1 @ e10 @ e13 ) )
    & ( ( op1 @ e10 @ e11 )
     != ( op1 @ e10 @ e13 ) )
    & ( ( op1 @ e10 @ e11 )
     != ( op1 @ e10 @ e12 ) )
    & ( ( op1 @ e10 @ e10 )
     != ( op1 @ e10 @ e13 ) )
    & ( ( op1 @ e10 @ e10 )
     != ( op1 @ e10 @ e12 ) )
    & ( ( op1 @ e10 @ e10 )
     != ( op1 @ e10 @ e11 ) )
    & ( ( op1 @ e12 @ e13 )
     != ( op1 @ e13 @ e13 ) )
    & ( ( op1 @ e11 @ e13 )
     != ( op1 @ e13 @ e13 ) )
    & ( ( op1 @ e11 @ e13 )
     != ( op1 @ e12 @ e13 ) )
    & ( ( op1 @ e10 @ e13 )
     != ( op1 @ e13 @ e13 ) )
    & ( ( op1 @ e10 @ e13 )
     != ( op1 @ e12 @ e13 ) )
    & ( ( op1 @ e10 @ e13 )
     != ( op1 @ e11 @ e13 ) )
    & ( ( op1 @ e12 @ e12 )
     != ( op1 @ e13 @ e12 ) )
    & ( ( op1 @ e11 @ e12 )
     != ( op1 @ e13 @ e12 ) )
    & ( ( op1 @ e11 @ e12 )
     != ( op1 @ e12 @ e12 ) )
    & ( ( op1 @ e10 @ e12 )
     != ( op1 @ e13 @ e12 ) )
    & ( ( op1 @ e10 @ e12 )
     != ( op1 @ e12 @ e12 ) )
    & ( ( op1 @ e10 @ e12 )
     != ( op1 @ e11 @ e12 ) )
    & ( ( op1 @ e12 @ e11 )
     != ( op1 @ e13 @ e11 ) )
    & ( ( op1 @ e11 @ e11 )
     != ( op1 @ e13 @ e11 ) )
    & ( ( op1 @ e11 @ e11 )
     != ( op1 @ e12 @ e11 ) )
    & ( ( op1 @ e10 @ e11 )
     != ( op1 @ e13 @ e11 ) )
    & ( ( op1 @ e10 @ e11 )
     != ( op1 @ e12 @ e11 ) )
    & ( ( op1 @ e10 @ e11 )
     != ( op1 @ e11 @ e11 ) )
    & ( ( op1 @ e12 @ e10 )
     != ( op1 @ e13 @ e10 ) )
    & ( ( op1 @ e11 @ e10 )
     != ( op1 @ e13 @ e10 ) )
    & ( ( op1 @ e11 @ e10 )
     != ( op1 @ e12 @ e10 ) )
    & ( ( op1 @ e10 @ e10 )
     != ( op1 @ e13 @ e10 ) )
    & ( ( op1 @ e10 @ e10 )
     != ( op1 @ e12 @ e10 ) )
    & ( ( op1 @ e10 @ e10 )
     != ( op1 @ e11 @ e10 ) ) ) ).

thf(zip_derived_cl143,plain,
    ( ( op1 @ e10 @ e10 )
   != ( op1 @ e11 @ e10 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl23391,plain,
    ( ( ( op1 @ e10 @ e10 )
     != e13 )
   <= ( ( op1 @ e11 @ e10 )
      = e13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1347,zip_derived_cl143]) ).

thf(zip_derived_cl26424,plain,
    ( ( e13 != e13 )
   <= ( ( ( op1 @ e11 @ e10 )
        = e13 )
      & ( ( op1 @ e10 @ e10 )
        = e13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1363,zip_derived_cl23391]) ).

thf('21',plain,
    ( ( ( op1 @ e10 @ e10 )
     != e13 )
    | ( ( op1 @ e11 @ e10 )
     != e13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26424]) ).

thf(zip_derived_cl1361,plain,
    ( ( ( op1 @ e10 @ e10 )
      = e11 )
   <= ( ( op1 @ e10 @ e10 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(ax10,axiom,
    ( ( ( ( op1 @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e10 ) )
        = e10 )
      & ( ( op1 @ ( op1 @ e11 @ e10 ) @ ( op1 @ e11 @ e10 ) )
        = e11 )
      & ( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e10 ) )
        = e12 )
      & ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
        = e13 ) )
    | ( ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e11 ) )
        = e10 )
      & ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
        = e11 )
      & ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
        = e12 )
      & ( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e13 @ e11 ) )
        = e13 ) )
    | ( ( ( op1 @ ( op1 @ e10 @ e12 ) @ ( op1 @ e10 @ e12 ) )
        = e10 )
      & ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
        = e11 )
      & ( ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) )
        = e12 )
      & ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
        = e13 ) )
    | ( ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
        = e10 )
      & ( ( op1 @ ( op1 @ e11 @ e13 ) @ ( op1 @ e11 @ e13 ) )
        = e11 )
      & ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
        = e12 )
      & ( ( op1 @ ( op1 @ e13 @ e13 ) @ ( op1 @ e13 @ e13 ) )
        = e13 ) ) ) ).

thf(zf_stmt_4,axiom,
    ( zip_tseitin_0
   => ( ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
        = e13 )
      & ( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e10 ) )
        = e12 )
      & ( ( op1 @ ( op1 @ e11 @ e10 ) @ ( op1 @ e11 @ e10 ) )
        = e11 )
      & ( ( op1 @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e10 ) )
        = e10 ) ) ) ).

thf(zip_derived_cl223,plain,
    ( ( ( op1 @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e10 ) )
      = e10 )
    | ~ zip_tseitin_0 ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl1690,plain,
    ( ( ( op1 @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e10 ) )
      = e10 )
   <= ( ( op1 @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e10 ) )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl223]) ).

thf(zip_derived_cl26414,plain,
    ( ( ( op1 @ e11 @ e11 )
      = e10 )
   <= ( ( ( op1 @ e10 @ e10 )
        = e11 )
      & ( ( op1 @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e10 ) )
        = e10 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1361,zip_derived_cl1690]) ).

thf(zip_derived_cl255_040,plain,
    ( e12
    = ( op1 @ e11 @ e11 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl28435,plain,
    ( ( e12 = e10 )
   <= ( ( ( op1 @ e10 @ e10 )
        = e11 )
      & ( ( op1 @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e10 ) )
        = e10 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl26414,zip_derived_cl255]) ).

thf(ax7,axiom,
    ( ( e12 != e13 )
    & ( e11 != e13 )
    & ( e11 != e12 )
    & ( e10 != e13 )
    & ( e10 != e12 )
    & ( e10 != e11 ) ) ).

thf(zip_derived_cl196,plain,
    e10 != e12,
    inference(cnf,[status(esa)],[ax7]) ).

thf('22',plain,
    ( ( ( op1 @ e10 @ e10 )
     != e11 )
    | ( ( op1 @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e10 ) )
     != e10 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl28435,zip_derived_cl196]) ).

thf('23',plain,
    ( ( ( op1 @ e10 @ e10 )
      = e10 )
    | ( ( op1 @ e10 @ e10 )
      = e11 )
    | ( ( op1 @ e10 @ e10 )
      = e12 )
    | ( ( op1 @ e10 @ e10 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1360,plain,
    ( ( ( op1 @ e10 @ e10 )
      = e10 )
   <= ( ( op1 @ e10 @ e10 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl12,plain,
    ( ( ( op1 @ e10 @ e13 )
      = e13 )
    | ( ( op1 @ e10 @ e13 )
      = e12 )
    | ( ( op1 @ e10 @ e13 )
      = e11 )
    | ( ( op1 @ e10 @ e13 )
      = e10 ) ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1348,plain,
    ( ( ( op1 @ e10 @ e13 )
      = e10 )
   <= ( ( op1 @ e10 @ e13 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl117,plain,
    ( ( op1 @ e10 @ e10 )
   != ( op1 @ e10 @ e13 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl23407,plain,
    ( ( ( op1 @ e10 @ e10 )
     != e10 )
   <= ( ( op1 @ e10 @ e13 )
      = e10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1348,zip_derived_cl117]) ).

thf(zip_derived_cl26447,plain,
    ( ( e10 != e10 )
   <= ( ( ( op1 @ e10 @ e13 )
        = e10 )
      & ( ( op1 @ e10 @ e10 )
        = e10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1360,zip_derived_cl23407]) ).

thf('24',plain,
    ( ( ( op1 @ e10 @ e13 )
     != e10 )
    | ( ( op1 @ e10 @ e10 )
     != e10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26447]) ).

thf(zip_derived_cl1552_041,plain,
    ( ( ( op2 @ e20 @ e20 )
      = e20 )
   <= ( ( op2 @ e20 @ e20 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl1360_042,plain,
    ( ( ( op1 @ e10 @ e10 )
      = e10 )
   <= ( ( op1 @ e10 @ e10 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1362,plain,
    ( ( ( op1 @ e10 @ e10 )
      = e12 )
   <= ( ( op1 @ e10 @ e10 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1690_043,plain,
    ( ( ( op1 @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e10 ) )
      = e10 )
   <= ( ( op1 @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e10 ) )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl223]) ).

thf(zip_derived_cl26415,plain,
    ( ( ( op1 @ e12 @ e12 )
      = e10 )
   <= ( ( ( op1 @ e10 @ e10 )
        = e12 )
      & ( ( op1 @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e10 ) )
        = e10 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1362,zip_derived_cl1690]) ).

thf(zip_derived_cl104,plain,
    ( ( op1 @ e12 @ e11 )
   != ( op1 @ e12 @ e12 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl22537_044,plain,
    ( e10
    = ( op1 @ e12 @ e11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl255]) ).

thf(zip_derived_cl22539,plain,
    ( e10
   != ( op1 @ e12 @ e12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl22537]) ).

thf('25',plain,
    ( ( ( op1 @ e10 @ e10 )
     != e12 )
    | ( ( op1 @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e10 ) )
     != e10 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl26415,zip_derived_cl22539]) ).

thf(zip_derived_cl1334,plain,
    ( ( ( op1 @ e11 @ e13 )
      = e12 )
   <= ( ( op1 @ e11 @ e13 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl109,plain,
    ( ( op1 @ e11 @ e11 )
   != ( op1 @ e11 @ e13 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl255_045,plain,
    ( e12
    = ( op1 @ e11 @ e11 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl22528,plain,
    ( e12
   != ( op1 @ e11 @ e13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl109,zip_derived_cl255]) ).

thf(zip_derived_cl26352,plain,
    ( ( e12 != e12 )
   <= ( ( op1 @ e11 @ e13 )
      = e12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1334,zip_derived_cl22528]) ).

thf('26',plain,
    ( ( op1 @ e11 @ e13 )
   != e12 ),
    inference(simplify,[status(thm)],[zip_derived_cl26352]) ).

thf(zip_derived_cl4,plain,
    ( ( ( op1 @ e12 @ e13 )
      = e13 )
    | ( ( op1 @ e12 @ e13 )
      = e12 )
    | ( ( op1 @ e12 @ e13 )
      = e11 )
    | ( ( op1 @ e12 @ e13 )
      = e10 ) ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1318,plain,
    ( ( ( op1 @ e12 @ e13 )
      = e12 )
   <= ( ( op1 @ e12 @ e13 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zf_stmt_5,axiom,
    ( zip_tseitin_3
   => ( ( ( op1 @ ( op1 @ e13 @ e13 ) @ ( op1 @ e13 @ e13 ) )
        = e13 )
      & ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
        = e12 )
      & ( ( op1 @ ( op1 @ e11 @ e13 ) @ ( op1 @ e11 @ e13 ) )
        = e11 )
      & ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
        = e10 ) ) ) ).

thf(zip_derived_cl233,plain,
    ( ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
      = e12 )
    | ~ zip_tseitin_3 ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl1710,plain,
    ( ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
      = e12 )
   <= ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl233]) ).

thf(zip_derived_cl26624,plain,
    ( ( ( op1 @ e12 @ e12 )
      = e12 )
   <= ( ( ( op1 @ e12 @ e13 )
        = e12 )
      & ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
        = e12 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1318,zip_derived_cl1710]) ).

thf(zip_derived_cl1318_046,plain,
    ( ( ( op1 @ e12 @ e13 )
      = e12 )
   <= ( ( op1 @ e12 @ e13 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl102,plain,
    ( ( op1 @ e12 @ e12 )
   != ( op1 @ e12 @ e13 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl22960,plain,
    ( ( ( op1 @ e12 @ e12 )
     != e12 )
   <= ( ( op1 @ e12 @ e13 )
      = e12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1318,zip_derived_cl102]) ).

thf('27',plain,
    ( ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
     != e12 )
    | ( ( op1 @ e12 @ e13 )
     != e12 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl26624,zip_derived_cl22960]) ).

thf(zip_derived_cl1350,plain,
    ( ( ( op1 @ e10 @ e13 )
      = e12 )
   <= ( ( op1 @ e10 @ e13 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl235,plain,
    ( ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
      = e10 )
    | ~ zip_tseitin_3 ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl1714,plain,
    ( ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
      = e10 )
   <= ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl235]) ).

thf(zip_derived_cl26652,plain,
    ( ( ( op1 @ e12 @ e12 )
      = e10 )
   <= ( ( ( op1 @ e10 @ e13 )
        = e12 )
      & ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
        = e10 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1350,zip_derived_cl1714]) ).

thf(zip_derived_cl22539_047,plain,
    ( e10
   != ( op1 @ e12 @ e12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl22537]) ).

thf('28',plain,
    ( ( ( op1 @ e10 @ e13 )
     != e12 )
    | ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
     != e10 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl26652,zip_derived_cl22539]) ).

thf(ax2,axiom,
    ( ( ( ( op1 @ e13 @ e13 )
        = e13 )
      | ( ( op1 @ e12 @ e13 )
        = e13 )
      | ( ( op1 @ e11 @ e13 )
        = e13 )
      | ( ( op1 @ e10 @ e13 )
        = e13 ) )
    & ( ( ( op1 @ e13 @ e13 )
        = e13 )
      | ( ( op1 @ e13 @ e12 )
        = e13 )
      | ( ( op1 @ e13 @ e11 )
        = e13 )
      | ( ( op1 @ e13 @ e10 )
        = e13 ) )
    & ( ( ( op1 @ e13 @ e13 )
        = e12 )
      | ( ( op1 @ e12 @ e13 )
        = e12 )
      | ( ( op1 @ e11 @ e13 )
        = e12 )
      | ( ( op1 @ e10 @ e13 )
        = e12 ) )
    & ( ( ( op1 @ e13 @ e13 )
        = e12 )
      | ( ( op1 @ e13 @ e12 )
        = e12 )
      | ( ( op1 @ e13 @ e11 )
        = e12 )
      | ( ( op1 @ e13 @ e10 )
        = e12 ) )
    & ( ( ( op1 @ e13 @ e13 )
        = e11 )
      | ( ( op1 @ e12 @ e13 )
        = e11 )
      | ( ( op1 @ e11 @ e13 )
        = e11 )
      | ( ( op1 @ e10 @ e13 )
        = e11 ) )
    & ( ( ( op1 @ e13 @ e13 )
        = e11 )
      | ( ( op1 @ e13 @ e12 )
        = e11 )
      | ( ( op1 @ e13 @ e11 )
        = e11 )
      | ( ( op1 @ e13 @ e10 )
        = e11 ) )
    & ( ( ( op1 @ e13 @ e13 )
        = e10 )
      | ( ( op1 @ e12 @ e13 )
        = e10 )
      | ( ( op1 @ e11 @ e13 )
        = e10 )
      | ( ( op1 @ e10 @ e13 )
        = e10 ) )
    & ( ( ( op1 @ e13 @ e13 )
        = e10 )
      | ( ( op1 @ e13 @ e12 )
        = e10 )
      | ( ( op1 @ e13 @ e11 )
        = e10 )
      | ( ( op1 @ e13 @ e10 )
        = e10 ) )
    & ( ( ( op1 @ e13 @ e12 )
        = e13 )
      | ( ( op1 @ e12 @ e12 )
        = e13 )
      | ( ( op1 @ e11 @ e12 )
        = e13 )
      | ( ( op1 @ e10 @ e12 )
        = e13 ) )
    & ( ( ( op1 @ e12 @ e13 )
        = e13 )
      | ( ( op1 @ e12 @ e12 )
        = e13 )
      | ( ( op1 @ e12 @ e11 )
        = e13 )
      | ( ( op1 @ e12 @ e10 )
        = e13 ) )
    & ( ( ( op1 @ e13 @ e12 )
        = e12 )
      | ( ( op1 @ e12 @ e12 )
        = e12 )
      | ( ( op1 @ e11 @ e12 )
        = e12 )
      | ( ( op1 @ e10 @ e12 )
        = e12 ) )
    & ( ( ( op1 @ e12 @ e13 )
        = e12 )
      | ( ( op1 @ e12 @ e12 )
        = e12 )
      | ( ( op1 @ e12 @ e11 )
        = e12 )
      | ( ( op1 @ e12 @ e10 )
        = e12 ) )
    & ( ( ( op1 @ e13 @ e12 )
        = e11 )
      | ( ( op1 @ e12 @ e12 )
        = e11 )
      | ( ( op1 @ e11 @ e12 )
        = e11 )
      | ( ( op1 @ e10 @ e12 )
        = e11 ) )
    & ( ( ( op1 @ e12 @ e13 )
        = e11 )
      | ( ( op1 @ e12 @ e12 )
        = e11 )
      | ( ( op1 @ e12 @ e11 )
        = e11 )
      | ( ( op1 @ e12 @ e10 )
        = e11 ) )
    & ( ( ( op1 @ e13 @ e12 )
        = e10 )
      | ( ( op1 @ e12 @ e12 )
        = e10 )
      | ( ( op1 @ e11 @ e12 )
        = e10 )
      | ( ( op1 @ e10 @ e12 )
        = e10 ) )
    & ( ( ( op1 @ e12 @ e13 )
        = e10 )
      | ( ( op1 @ e12 @ e12 )
        = e10 )
      | ( ( op1 @ e12 @ e11 )
        = e10 )
      | ( ( op1 @ e12 @ e10 )
        = e10 ) )
    & ( ( ( op1 @ e13 @ e11 )
        = e13 )
      | ( ( op1 @ e12 @ e11 )
        = e13 )
      | ( ( op1 @ e11 @ e11 )
        = e13 )
      | ( ( op1 @ e10 @ e11 )
        = e13 ) )
    & ( ( ( op1 @ e11 @ e13 )
        = e13 )
      | ( ( op1 @ e11 @ e12 )
        = e13 )
      | ( ( op1 @ e11 @ e11 )
        = e13 )
      | ( ( op1 @ e11 @ e10 )
        = e13 ) )
    & ( ( ( op1 @ e13 @ e11 )
        = e12 )
      | ( ( op1 @ e12 @ e11 )
        = e12 )
      | ( ( op1 @ e11 @ e11 )
        = e12 )
      | ( ( op1 @ e10 @ e11 )
        = e12 ) )
    & ( ( ( op1 @ e11 @ e13 )
        = e12 )
      | ( ( op1 @ e11 @ e12 )
        = e12 )
      | ( ( op1 @ e11 @ e11 )
        = e12 )
      | ( ( op1 @ e11 @ e10 )
        = e12 ) )
    & ( ( ( op1 @ e13 @ e11 )
        = e11 )
      | ( ( op1 @ e12 @ e11 )
        = e11 )
      | ( ( op1 @ e11 @ e11 )
        = e11 )
      | ( ( op1 @ e10 @ e11 )
        = e11 ) )
    & ( ( ( op1 @ e11 @ e13 )
        = e11 )
      | ( ( op1 @ e11 @ e12 )
        = e11 )
      | ( ( op1 @ e11 @ e11 )
        = e11 )
      | ( ( op1 @ e11 @ e10 )
        = e11 ) )
    & ( ( ( op1 @ e13 @ e11 )
        = e10 )
      | ( ( op1 @ e12 @ e11 )
        = e10 )
      | ( ( op1 @ e11 @ e11 )
        = e10 )
      | ( ( op1 @ e10 @ e11 )
        = e10 ) )
    & ( ( ( op1 @ e11 @ e13 )
        = e10 )
      | ( ( op1 @ e11 @ e12 )
        = e10 )
      | ( ( op1 @ e11 @ e11 )
        = e10 )
      | ( ( op1 @ e11 @ e10 )
        = e10 ) )
    & ( ( ( op1 @ e13 @ e10 )
        = e13 )
      | ( ( op1 @ e12 @ e10 )
        = e13 )
      | ( ( op1 @ e11 @ e10 )
        = e13 )
      | ( ( op1 @ e10 @ e10 )
        = e13 ) )
    & ( ( ( op1 @ e10 @ e13 )
        = e13 )
      | ( ( op1 @ e10 @ e12 )
        = e13 )
      | ( ( op1 @ e10 @ e11 )
        = e13 )
      | ( ( op1 @ e10 @ e10 )
        = e13 ) )
    & ( ( ( op1 @ e13 @ e10 )
        = e12 )
      | ( ( op1 @ e12 @ e10 )
        = e12 )
      | ( ( op1 @ e11 @ e10 )
        = e12 )
      | ( ( op1 @ e10 @ e10 )
        = e12 ) )
    & ( ( ( op1 @ e10 @ e13 )
        = e12 )
      | ( ( op1 @ e10 @ e12 )
        = e12 )
      | ( ( op1 @ e10 @ e11 )
        = e12 )
      | ( ( op1 @ e10 @ e10 )
        = e12 ) )
    & ( ( ( op1 @ e13 @ e10 )
        = e11 )
      | ( ( op1 @ e12 @ e10 )
        = e11 )
      | ( ( op1 @ e11 @ e10 )
        = e11 )
      | ( ( op1 @ e10 @ e10 )
        = e11 ) )
    & ( ( ( op1 @ e10 @ e13 )
        = e11 )
      | ( ( op1 @ e10 @ e12 )
        = e11 )
      | ( ( op1 @ e10 @ e11 )
        = e11 )
      | ( ( op1 @ e10 @ e10 )
        = e11 ) )
    & ( ( ( op1 @ e13 @ e10 )
        = e10 )
      | ( ( op1 @ e12 @ e10 )
        = e10 )
      | ( ( op1 @ e11 @ e10 )
        = e10 )
      | ( ( op1 @ e10 @ e10 )
        = e10 ) )
    & ( ( ( op1 @ e10 @ e13 )
        = e10 )
      | ( ( op1 @ e10 @ e12 )
        = e10 )
      | ( ( op1 @ e10 @ e11 )
        = e10 )
      | ( ( op1 @ e10 @ e10 )
        = e10 ) ) ) ).

thf(zip_derived_cl18,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e12 )
    | ( ( op1 @ e12 @ e13 )
      = e12 )
    | ( ( op1 @ e11 @ e13 )
      = e12 )
    | ( ( op1 @ e10 @ e13 )
      = e12 ) ),
    inference(cnf,[status(esa)],[ax2]) ).

thf('29',plain,
    ( ( ( op1 @ e12 @ e13 )
      = e12 )
    | ( ( op1 @ e10 @ e13 )
      = e12 )
    | ( ( op1 @ e13 @ e13 )
      = e12 )
    | ( ( op1 @ e11 @ e13 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf('30',plain,
    ( ~ zip_tseitin_3
    | ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl233]) ).

thf(zf_stmt_6,axiom,
    ( zip_tseitin_1
   => ( ( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e13 @ e11 ) )
        = e13 )
      & ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
        = e12 )
      & ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
        = e11 )
      & ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e11 ) )
        = e10 ) ) ) ).

thf(zip_derived_cl225,plain,
    ( ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
      = e12 )
    | ~ zip_tseitin_1 ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf('31',plain,
    ( ~ zip_tseitin_1
    | ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl225]) ).

thf(zip_derived_cl3,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e13 )
    | ( ( op1 @ e13 @ e10 )
      = e12 )
    | ( ( op1 @ e13 @ e10 )
      = e11 )
    | ( ( op1 @ e13 @ e10 )
      = e10 ) ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1314,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e12 )
   <= ( ( op1 @ e13 @ e10 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl220,plain,
    ( ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
      = e13 )
    | ~ zip_tseitin_0 ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl1685,plain,
    ( ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
      = e13 )
   <= ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl220]) ).

thf(zip_derived_cl26357,plain,
    ( ( ( op1 @ e12 @ e12 )
      = e13 )
   <= ( ( ( op1 @ e13 @ e10 )
        = e12 )
      & ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1314,zip_derived_cl1685]) ).

thf(zip_derived_cl1307,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e13 )
   <= ( ( op1 @ e13 @ e12 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl126,plain,
    ( ( op1 @ e12 @ e12 )
   != ( op1 @ e13 @ e12 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl22776,plain,
    ( ( ( op1 @ e12 @ e12 )
     != e13 )
   <= ( ( op1 @ e13 @ e12 )
      = e13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1307,zip_derived_cl126]) ).

thf(zip_derived_cl28288,plain,
    ( ( e13 != e13 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e13 )
      & ( ( op1 @ e13 @ e10 )
        = e12 )
      & ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
        = e13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26357,zip_derived_cl22776]) ).

thf('32',plain,
    ( ( ( op1 @ e13 @ e12 )
     != e13 )
    | ( ( op1 @ e13 @ e10 )
     != e12 )
    | ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
     != e13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl28288]) ).

thf(zip_derived_cl1314_048,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e12 )
   <= ( ( op1 @ e13 @ e10 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl1319,plain,
    ( ( ( op1 @ e12 @ e13 )
      = e13 )
   <= ( ( op1 @ e12 @ e13 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl1710_049,plain,
    ( ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
      = e12 )
   <= ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl233]) ).

thf(zip_derived_cl26625,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e12 )
   <= ( ( ( op1 @ e12 @ e13 )
        = e13 )
      & ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
        = e12 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1319,zip_derived_cl1710]) ).

thf(zip_derived_cl99,plain,
    ( ( op1 @ e13 @ e10 )
   != ( op1 @ e13 @ e13 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl28988,plain,
    ( ( ( op1 @ e13 @ e10 )
     != e12 )
   <= ( ( ( op1 @ e12 @ e13 )
        = e13 )
      & ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
        = e12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26625,zip_derived_cl99]) ).

thf(zip_derived_cl29033,plain,
    ( ( e12 != e12 )
   <= ( ( ( op1 @ e13 @ e10 )
        = e12 )
      & ( ( op1 @ e12 @ e13 )
        = e13 )
      & ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
        = e12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1314,zip_derived_cl28988]) ).

thf('33',plain,
    ( ( ( op1 @ ( op1 @ e12 @ e13 ) @ ( op1 @ e12 @ e13 ) )
     != e12 )
    | ( ( op1 @ e12 @ e13 )
     != e13 )
    | ( ( op1 @ e13 @ e10 )
     != e12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl29033]) ).

thf(zip_derived_cl1694,plain,
    ( ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
      = e12 )
   <= ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl225]) ).

thf(zip_derived_cl22537_050,plain,
    ( e10
    = ( op1 @ e12 @ e11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl255]) ).

thf(zip_derived_cl22537_051,plain,
    ( e10
    = ( op1 @ e12 @ e11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl255]) ).

thf(zip_derived_cl26462,plain,
    ( ( ( op1 @ e10 @ e10 )
      = e12 )
   <= ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
      = e12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1694,zip_derived_cl22537,zip_derived_cl22537]) ).

thf(zip_derived_cl1314_052,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e12 )
   <= ( ( op1 @ e13 @ e10 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl141,plain,
    ( ( op1 @ e10 @ e10 )
   != ( op1 @ e13 @ e10 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl22892,plain,
    ( ( ( op1 @ e10 @ e10 )
     != e12 )
   <= ( ( op1 @ e13 @ e10 )
      = e12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1314,zip_derived_cl141]) ).

thf(zip_derived_cl26470,plain,
    ( ( e12 != e12 )
   <= ( ( ( op1 @ e13 @ e10 )
        = e12 )
      & ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
        = e12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26462,zip_derived_cl22892]) ).

thf('34',plain,
    ( ( ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) )
     != e12 )
    | ( ( op1 @ e13 @ e10 )
     != e12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26470]) ).

thf(zip_derived_cl25,plain,
    ( ( ( op1 @ e12 @ e13 )
      = e13 )
    | ( ( op1 @ e12 @ e12 )
      = e13 )
    | ( ( op1 @ e12 @ e11 )
      = e13 )
    | ( ( op1 @ e12 @ e10 )
      = e13 ) ),
    inference(cnf,[status(esa)],[ax2]) ).

thf('35',plain,
    ( ( ( op1 @ e12 @ e12 )
      = e13 )
    | ( ( op1 @ e12 @ e13 )
      = e13 )
    | ( ( op1 @ e12 @ e11 )
      = e13 )
    | ( ( op1 @ e12 @ e10 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl6,plain,
    ( ( ( op1 @ e12 @ e11 )
      = e13 )
    | ( ( op1 @ e12 @ e11 )
      = e12 )
    | ( ( op1 @ e12 @ e11 )
      = e11 )
    | ( ( op1 @ e12 @ e11 )
      = e10 ) ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1327,plain,
    ( ( ( op1 @ e12 @ e11 )
      = e13 )
   <= ( ( op1 @ e12 @ e11 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl22537_053,plain,
    ( e10
    = ( op1 @ e12 @ e11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl255]) ).

thf(zip_derived_cl23094,plain,
    ( ( e10 = e13 )
   <= ( ( op1 @ e12 @ e11 )
      = e13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1327,zip_derived_cl22537]) ).

thf(zip_derived_cl195,plain,
    e10 != e13,
    inference(cnf,[status(esa)],[ax7]) ).

thf('36',plain,
    ( ( op1 @ e12 @ e11 )
   != e13 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl23094,zip_derived_cl195]) ).

thf(zip_derived_cl1347_054,plain,
    ( ( ( op1 @ e11 @ e10 )
      = e13 )
   <= ( ( op1 @ e11 @ e10 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl7,plain,
    ( ( ( op1 @ e12 @ e10 )
      = e13 )
    | ( ( op1 @ e12 @ e10 )
      = e12 )
    | ( ( op1 @ e12 @ e10 )
      = e11 )
    | ( ( op1 @ e12 @ e10 )
      = e10 ) ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1331,plain,
    ( ( ( op1 @ e12 @ e10 )
      = e13 )
   <= ( ( op1 @ e12 @ e10 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl140,plain,
    ( ( op1 @ e11 @ e10 )
   != ( op1 @ e12 @ e10 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl23151,plain,
    ( ( ( op1 @ e11 @ e10 )
     != e13 )
   <= ( ( op1 @ e12 @ e10 )
      = e13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1331,zip_derived_cl140]) ).

thf(zip_derived_cl26248,plain,
    ( ( e13 != e13 )
   <= ( ( ( op1 @ e12 @ e10 )
        = e13 )
      & ( ( op1 @ e11 @ e10 )
        = e13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1347,zip_derived_cl23151]) ).

thf('37',plain,
    ( ( ( op1 @ e12 @ e10 )
     != e13 )
    | ( ( op1 @ e11 @ e10 )
     != e13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26248]) ).

thf(zip_derived_cl19,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e12 )
    | ( ( op1 @ e13 @ e12 )
      = e12 )
    | ( ( op1 @ e13 @ e11 )
      = e12 )
    | ( ( op1 @ e13 @ e10 )
      = e12 ) ),
    inference(cnf,[status(esa)],[ax2]) ).

thf('38',plain,
    ( ( ( op1 @ e13 @ e10 )
      = e12 )
    | ( ( op1 @ e13 @ e12 )
      = e12 )
    | ( ( op1 @ e13 @ e11 )
      = e12 )
    | ( ( op1 @ e13 @ e13 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl2,plain,
    ( ( ( op1 @ e13 @ e11 )
      = e13 )
    | ( ( op1 @ e13 @ e11 )
      = e12 )
    | ( ( op1 @ e13 @ e11 )
      = e11 )
    | ( ( op1 @ e13 @ e11 )
      = e10 ) ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1310,plain,
    ( ( ( op1 @ e13 @ e11 )
      = e12 )
   <= ( ( op1 @ e13 @ e11 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl133,plain,
    ( ( op1 @ e11 @ e11 )
   != ( op1 @ e13 @ e11 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl255_055,plain,
    ( e12
    = ( op1 @ e11 @ e11 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl22531,plain,
    ( e12
   != ( op1 @ e13 @ e11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl255]) ).

thf(zip_derived_cl26410,plain,
    ( ( e12 != e12 )
   <= ( ( op1 @ e13 @ e11 )
      = e12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1310,zip_derived_cl22531]) ).

thf('39',plain,
    ( ( op1 @ e13 @ e11 )
   != e12 ),
    inference(simplify,[status(thm)],[zip_derived_cl26410]) ).

thf(zip_derived_cl226,plain,
    ( ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
      = e11 )
    | ~ zip_tseitin_1 ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl1696,plain,
    ( ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
      = e11 )
   <= ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl226]) ).

thf(zip_derived_cl255_056,plain,
    ( e12
    = ( op1 @ e11 @ e11 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl255_057,plain,
    ( e12
    = ( op1 @ e11 @ e11 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl26490,plain,
    ( ( ( op1 @ e12 @ e12 )
      = e11 )
   <= ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
      = e11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1696,zip_derived_cl255,zip_derived_cl255]) ).

thf(zip_derived_cl1305,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e11 )
   <= ( ( op1 @ e13 @ e12 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl126_058,plain,
    ( ( op1 @ e12 @ e12 )
   != ( op1 @ e13 @ e12 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl22739,plain,
    ( ( ( op1 @ e12 @ e12 )
     != e11 )
   <= ( ( op1 @ e13 @ e12 )
      = e11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1305,zip_derived_cl126]) ).

thf(zip_derived_cl26498,plain,
    ( ( e11 != e11 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e11 )
      & ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
        = e11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26490,zip_derived_cl22739]) ).

thf('40',plain,
    ( ( ( op1 @ e13 @ e12 )
     != e11 )
    | ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
     != e11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26498]) ).

thf(zip_derived_cl21,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e11 )
    | ( ( op1 @ e13 @ e12 )
      = e11 )
    | ( ( op1 @ e13 @ e11 )
      = e11 )
    | ( ( op1 @ e13 @ e10 )
      = e11 ) ),
    inference(cnf,[status(esa)],[ax2]) ).

thf('41',plain,
    ( ( ( op1 @ e13 @ e11 )
      = e11 )
    | ( ( op1 @ e13 @ e13 )
      = e11 )
    | ( ( op1 @ e13 @ e12 )
      = e11 )
    | ( ( op1 @ e13 @ e10 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1307_059,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e13 )
   <= ( ( op1 @ e13 @ e12 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl1305_060,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e11 )
   <= ( ( op1 @ e13 @ e12 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl22780,plain,
    ( ( e13 = e11 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e11 )
      & ( ( op1 @ e13 @ e12 )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1307,zip_derived_cl1305]) ).

thf(zip_derived_cl193,plain,
    e11 != e13,
    inference(cnf,[status(esa)],[ax7]) ).

thf('42',plain,
    ( ( ( op1 @ e13 @ e12 )
     != e11 )
    | ( ( op1 @ e13 @ e12 )
     != e13 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl22780,zip_derived_cl193]) ).

thf(zip_derived_cl1313,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e11 )
   <= ( ( op1 @ e13 @ e10 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl1312,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e10 )
   <= ( ( op1 @ e13 @ e10 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl22874,plain,
    ( ( e11 = e10 )
   <= ( ( ( op1 @ e13 @ e10 )
        = e10 )
      & ( ( op1 @ e13 @ e10 )
        = e11 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1313,zip_derived_cl1312]) ).

thf(zip_derived_cl197,plain,
    e10 != e11,
    inference(cnf,[status(esa)],[ax7]) ).

thf('43',plain,
    ( ( ( op1 @ e13 @ e10 )
     != e11 )
    | ( ( op1 @ e13 @ e10 )
     != e10 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl22874,zip_derived_cl197]) ).

thf('44',plain,
    ( ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
      = e10 )
    | ~ zip_tseitin_3 ),
    inference(split,[status(esa)],[zip_derived_cl235]) ).

thf(zip_derived_cl1348_061,plain,
    ( ( ( op1 @ e10 @ e13 )
      = e10 )
   <= ( ( op1 @ e10 @ e13 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1714_062,plain,
    ( ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
      = e10 )
   <= ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl235]) ).

thf(zip_derived_cl26650,plain,
    ( ( ( op1 @ e10 @ e10 )
      = e10 )
   <= ( ( ( op1 @ e10 @ e13 )
        = e10 )
      & ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
        = e10 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1348,zip_derived_cl1714]) ).

thf(zip_derived_cl23407_063,plain,
    ( ( ( op1 @ e10 @ e10 )
     != e10 )
   <= ( ( op1 @ e10 @ e13 )
      = e10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1348,zip_derived_cl117]) ).

thf('45',plain,
    ( ( ( op1 @ e10 @ e13 )
     != e10 )
    | ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
     != e10 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl26650,zip_derived_cl23407]) ).

thf(zip_derived_cl22,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e10 )
    | ( ( op1 @ e12 @ e13 )
      = e10 )
    | ( ( op1 @ e11 @ e13 )
      = e10 )
    | ( ( op1 @ e10 @ e13 )
      = e10 ) ),
    inference(cnf,[status(esa)],[ax2]) ).

thf('46',plain,
    ( ( ( op1 @ e11 @ e13 )
      = e10 )
    | ( ( op1 @ e13 @ e13 )
      = e10 )
    | ( ( op1 @ e10 @ e13 )
      = e10 )
    | ( ( op1 @ e12 @ e13 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1316,plain,
    ( ( ( op1 @ e12 @ e13 )
      = e10 )
   <= ( ( op1 @ e12 @ e13 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl103,plain,
    ( ( op1 @ e12 @ e11 )
   != ( op1 @ e12 @ e13 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl22537_064,plain,
    ( e10
    = ( op1 @ e12 @ e11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl255]) ).

thf(zip_derived_cl22538,plain,
    ( e10
   != ( op1 @ e12 @ e13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl22537]) ).

thf(zip_derived_cl26485,plain,
    ( ( e10 != e10 )
   <= ( ( op1 @ e12 @ e13 )
      = e10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1316,zip_derived_cl22538]) ).

thf('47',plain,
    ( ( op1 @ e12 @ e13 )
   != e10 ),
    inference(simplify,[status(thm)],[zip_derived_cl26485]) ).

thf(zip_derived_cl1333,plain,
    ( ( ( op1 @ e11 @ e13 )
      = e11 )
   <= ( ( op1 @ e11 @ e13 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1332_065,plain,
    ( ( ( op1 @ e11 @ e13 )
      = e10 )
   <= ( ( op1 @ e11 @ e13 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl23183,plain,
    ( ( e11 = e10 )
   <= ( ( ( op1 @ e11 @ e13 )
        = e10 )
      & ( ( op1 @ e11 @ e13 )
        = e11 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1333,zip_derived_cl1332]) ).

thf(zip_derived_cl197_066,plain,
    e10 != e11,
    inference(cnf,[status(esa)],[ax7]) ).

thf('48',plain,
    ( ( ( op1 @ e11 @ e13 )
     != e11 )
    | ( ( op1 @ e11 @ e13 )
     != e10 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl23183,zip_derived_cl197]) ).

thf(zip_derived_cl37,plain,
    ( ( ( op1 @ e11 @ e13 )
      = e11 )
    | ( ( op1 @ e11 @ e12 )
      = e11 )
    | ( ( op1 @ e11 @ e11 )
      = e11 )
    | ( ( op1 @ e11 @ e10 )
      = e11 ) ),
    inference(cnf,[status(esa)],[ax2]) ).

thf('49',plain,
    ( ( ( op1 @ e11 @ e12 )
      = e11 )
    | ( ( op1 @ e11 @ e13 )
      = e11 )
    | ( ( op1 @ e11 @ e11 )
      = e11 )
    | ( ( op1 @ e11 @ e10 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl0,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e13 )
    | ( ( op1 @ e13 @ e13 )
      = e12 )
    | ( ( op1 @ e13 @ e13 )
      = e11 )
    | ( ( op1 @ e13 @ e13 )
      = e10 ) ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1302,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e12 )
   <= ( ( op1 @ e13 @ e13 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl232,plain,
    ( ( ( op1 @ ( op1 @ e13 @ e13 ) @ ( op1 @ e13 @ e13 ) )
      = e13 )
    | ~ zip_tseitin_3 ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl1709,plain,
    ( ( ( op1 @ ( op1 @ e13 @ e13 ) @ ( op1 @ e13 @ e13 ) )
      = e13 )
   <= ( ( op1 @ ( op1 @ e13 @ e13 ) @ ( op1 @ e13 @ e13 ) )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl232]) ).

thf(zip_derived_cl26603,plain,
    ( ( ( op1 @ e12 @ e12 )
      = e13 )
   <= ( ( ( op1 @ e13 @ e13 )
        = e12 )
      & ( ( op1 @ ( op1 @ e13 @ e13 ) @ ( op1 @ e13 @ e13 ) )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1302,zip_derived_cl1709]) ).

thf(zip_derived_cl22776_067,plain,
    ( ( ( op1 @ e12 @ e12 )
     != e13 )
   <= ( ( op1 @ e13 @ e12 )
      = e13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1307,zip_derived_cl126]) ).

thf(zip_derived_cl28920,plain,
    ( ( e13 != e13 )
   <= ( ( ( op1 @ e13 @ e13 )
        = e12 )
      & ( ( op1 @ e13 @ e12 )
        = e13 )
      & ( ( op1 @ ( op1 @ e13 @ e13 ) @ ( op1 @ e13 @ e13 ) )
        = e13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26603,zip_derived_cl22776]) ).

thf('50',plain,
    ( ( ( op1 @ e13 @ e13 )
     != e12 )
    | ( ( op1 @ ( op1 @ e13 @ e13 ) @ ( op1 @ e13 @ e13 ) )
     != e13 )
    | ( ( op1 @ e13 @ e12 )
     != e13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl28920]) ).

thf(zf_stmt_7,axiom,
    ( zip_tseitin_2
   => ( ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
        = e13 )
      & ( ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) )
        = e12 )
      & ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
        = e11 )
      & ( ( op1 @ ( op1 @ e10 @ e12 ) @ ( op1 @ e10 @ e12 ) )
        = e10 ) ) ) ).

thf(zip_derived_cl230,plain,
    ( ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
      = e11 )
    | ~ zip_tseitin_2 ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf('51',plain,
    ( ~ zip_tseitin_2
    | ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl230]) ).

thf('52',plain,
    ( ~ zip_tseitin_1
    | ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl226]) ).

thf(zip_derived_cl1337_068,plain,
    ( ( ( op1 @ e11 @ e12 )
      = e11 )
   <= ( ( op1 @ e11 @ e12 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1704,plain,
    ( ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
      = e11 )
   <= ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl230]) ).

thf(zip_derived_cl26566,plain,
    ( ( ( op1 @ e11 @ e11 )
      = e11 )
   <= ( ( ( op1 @ e11 @ e12 )
        = e11 )
      & ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
        = e11 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1337,zip_derived_cl1704]) ).

thf(zip_derived_cl255_069,plain,
    ( e12
    = ( op1 @ e11 @ e11 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl28818,plain,
    ( ( e12 = e11 )
   <= ( ( ( op1 @ e11 @ e12 )
        = e11 )
      & ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
        = e11 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl26566,zip_derived_cl255]) ).

thf(zip_derived_cl194,plain,
    e11 != e12,
    inference(cnf,[status(esa)],[ax7]) ).

thf('53',plain,
    ( ( ( op1 @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e12 ) )
     != e11 )
    | ( ( op1 @ e11 @ e12 )
     != e11 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl28818,zip_derived_cl194]) ).

thf(zip_derived_cl1337_070,plain,
    ( ( ( op1 @ e11 @ e12 )
      = e11 )
   <= ( ( op1 @ e11 @ e12 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl26490_071,plain,
    ( ( ( op1 @ e12 @ e12 )
      = e11 )
   <= ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
      = e11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1696,zip_derived_cl255,zip_derived_cl255]) ).

thf(zip_derived_cl128,plain,
    ( ( op1 @ e11 @ e12 )
   != ( op1 @ e12 @ e12 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl26492,plain,
    ( ( ( op1 @ e11 @ e12 )
     != e11 )
   <= ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
      = e11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26490,zip_derived_cl128]) ).

thf(zip_derived_cl27589,plain,
    ( ( e11 != e11 )
   <= ( ( ( op1 @ e11 @ e12 )
        = e11 )
      & ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
        = e11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1337,zip_derived_cl26492]) ).

thf('54',plain,
    ( ( ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) )
     != e11 )
    | ( ( op1 @ e11 @ e12 )
     != e11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27589]) ).

thf(zip_derived_cl1337_072,plain,
    ( ( ( op1 @ e11 @ e12 )
      = e11 )
   <= ( ( op1 @ e11 @ e12 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1305_073,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e11 )
   <= ( ( op1 @ e13 @ e12 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl127,plain,
    ( ( op1 @ e11 @ e12 )
   != ( op1 @ e13 @ e12 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl22740,plain,
    ( ( ( op1 @ e11 @ e12 )
     != e11 )
   <= ( ( op1 @ e13 @ e12 )
      = e11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1305,zip_derived_cl127]) ).

thf(zip_derived_cl25915,plain,
    ( ( e11 != e11 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e11 )
      & ( ( op1 @ e11 @ e12 )
        = e11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1337,zip_derived_cl22740]) ).

thf('55',plain,
    ( ( ( op1 @ e13 @ e12 )
     != e11 )
    | ( ( op1 @ e11 @ e12 )
     != e11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl25915]) ).

thf('56',plain,
    ( ~ zip_tseitin_3
    | ( ( op1 @ ( op1 @ e13 @ e13 ) @ ( op1 @ e13 @ e13 ) )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl232]) ).

thf(zip_derived_cl1312_074,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e10 )
   <= ( ( op1 @ e13 @ e10 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl1685_075,plain,
    ( ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
      = e13 )
   <= ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl220]) ).

thf(zip_derived_cl26355,plain,
    ( ( ( op1 @ e10 @ e10 )
      = e13 )
   <= ( ( ( op1 @ e13 @ e10 )
        = e10 )
      & ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1312,zip_derived_cl1685]) ).

thf(zip_derived_cl143_076,plain,
    ( ( op1 @ e10 @ e10 )
   != ( op1 @ e11 @ e10 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl27029_077,plain,
    ( e13
    = ( op1 @ e11 @ e10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22534,zip_derived_cl22537]) ).

thf(zip_derived_cl27034,plain,
    ( ( op1 @ e10 @ e10 )
   != e13 ),
    inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl27029]) ).

thf('57',plain,
    ( ( ( op1 @ e13 @ e10 )
     != e10 )
    | ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
     != e13 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl26355,zip_derived_cl27034]) ).

thf(zip_derived_cl23,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e10 )
    | ( ( op1 @ e13 @ e12 )
      = e10 )
    | ( ( op1 @ e13 @ e11 )
      = e10 )
    | ( ( op1 @ e13 @ e10 )
      = e10 ) ),
    inference(cnf,[status(esa)],[ax2]) ).

thf('58',plain,
    ( ( ( op1 @ e13 @ e12 )
      = e10 )
    | ( ( op1 @ e13 @ e13 )
      = e10 )
    | ( ( op1 @ e13 @ e10 )
      = e10 )
    | ( ( op1 @ e13 @ e11 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1308,plain,
    ( ( ( op1 @ e13 @ e11 )
      = e10 )
   <= ( ( op1 @ e13 @ e11 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl132,plain,
    ( ( op1 @ e12 @ e11 )
   != ( op1 @ e13 @ e11 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl22537_078,plain,
    ( e10
    = ( op1 @ e12 @ e11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl255]) ).

thf(zip_derived_cl22541,plain,
    ( e10
   != ( op1 @ e13 @ e11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl22537]) ).

thf(zip_derived_cl26539,plain,
    ( ( e10 != e10 )
   <= ( ( op1 @ e13 @ e11 )
      = e10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1308,zip_derived_cl22541]) ).

thf('59',plain,
    ( ( op1 @ e13 @ e11 )
   != e10 ),
    inference(simplify,[status(thm)],[zip_derived_cl26539]) ).

thf('60',plain,
    ( ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
      = e13 )
    | ~ zip_tseitin_0 ),
    inference(split,[status(esa)],[zip_derived_cl220]) ).

thf(zip_derived_cl234,plain,
    ( ( ( op1 @ ( op1 @ e11 @ e13 ) @ ( op1 @ e11 @ e13 ) )
      = e11 )
    | ~ zip_tseitin_3 ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf('61',plain,
    ( ~ zip_tseitin_3
    | ( ( op1 @ ( op1 @ e11 @ e13 ) @ ( op1 @ e11 @ e13 ) )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl234]) ).

thf(zip_derived_cl1313_079,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e11 )
   <= ( ( op1 @ e13 @ e10 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl1685_080,plain,
    ( ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
      = e13 )
   <= ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl220]) ).

thf(zip_derived_cl26356,plain,
    ( ( ( op1 @ e11 @ e11 )
      = e13 )
   <= ( ( ( op1 @ e13 @ e10 )
        = e11 )
      & ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1313,zip_derived_cl1685]) ).

thf(zip_derived_cl255_081,plain,
    ( e12
    = ( op1 @ e11 @ e11 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl26363,plain,
    ( ( e12 = e13 )
   <= ( ( ( op1 @ e13 @ e10 )
        = e11 )
      & ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
        = e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl26356,zip_derived_cl255]) ).

thf(zip_derived_cl192,plain,
    e12 != e13,
    inference(cnf,[status(esa)],[ax7]) ).

thf('62',plain,
    ( ( ( op1 @ e13 @ e10 )
     != e11 )
    | ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
     != e13 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl26363,zip_derived_cl192]) ).

thf(zip_derived_cl1332_082,plain,
    ( ( ( op1 @ e11 @ e13 )
      = e10 )
   <= ( ( op1 @ e11 @ e13 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1712,plain,
    ( ( ( op1 @ ( op1 @ e11 @ e13 ) @ ( op1 @ e11 @ e13 ) )
      = e11 )
   <= ( ( op1 @ ( op1 @ e11 @ e13 ) @ ( op1 @ e11 @ e13 ) )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl234]) ).

thf(zip_derived_cl26637,plain,
    ( ( ( op1 @ e10 @ e10 )
      = e11 )
   <= ( ( ( op1 @ e11 @ e13 )
        = e10 )
      & ( ( op1 @ ( op1 @ e11 @ e13 ) @ ( op1 @ e11 @ e13 ) )
        = e11 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1332,zip_derived_cl1712]) ).

thf(zip_derived_cl1360_083,plain,
    ( ( ( op1 @ e10 @ e10 )
      = e10 )
   <= ( ( op1 @ e10 @ e10 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl29053,plain,
    ( ( e11 = e10 )
   <= ( ( ( op1 @ e11 @ e13 )
        = e10 )
      & ( ( op1 @ e10 @ e10 )
        = e10 )
      & ( ( op1 @ ( op1 @ e11 @ e13 ) @ ( op1 @ e11 @ e13 ) )
        = e11 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl26637,zip_derived_cl1360]) ).

thf(zip_derived_cl197_084,plain,
    e10 != e11,
    inference(cnf,[status(esa)],[ax7]) ).

thf('63',plain,
    ( ( ( op1 @ ( op1 @ e11 @ e13 ) @ ( op1 @ e11 @ e13 ) )
     != e11 )
    | ( ( op1 @ e11 @ e13 )
     != e10 )
    | ( ( op1 @ e10 @ e10 )
     != e10 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl29053,zip_derived_cl197]) ).

thf(zip_derived_cl1311,plain,
    ( ( ( op1 @ e13 @ e11 )
      = e13 )
   <= ( ( op1 @ e13 @ e11 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl224,plain,
    ( ( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e13 @ e11 ) )
      = e13 )
    | ~ zip_tseitin_1 ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl1693,plain,
    ( ( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e13 @ e11 ) )
      = e13 )
   <= ( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e13 @ e11 ) )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl224]) ).

thf(zip_derived_cl26429,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e13 )
   <= ( ( ( op1 @ e13 @ e11 )
        = e13 )
      & ( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e13 @ e11 ) )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1311,zip_derived_cl1693]) ).

thf(zip_derived_cl97,plain,
    ( ( op1 @ e13 @ e11 )
   != ( op1 @ e13 @ e13 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl28453,plain,
    ( ( ( op1 @ e13 @ e11 )
     != e13 )
   <= ( ( ( op1 @ e13 @ e11 )
        = e13 )
      & ( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e13 @ e11 ) )
        = e13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26429,zip_derived_cl97]) ).

thf(zip_derived_cl1311_085,plain,
    ( ( ( op1 @ e13 @ e11 )
      = e13 )
   <= ( ( op1 @ e13 @ e11 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl28464,plain,
    ( ( e13 != e13 )
   <= ( ( ( op1 @ e13 @ e11 )
        = e13 )
      & ( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e13 @ e11 ) )
        = e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl28453,zip_derived_cl1311]) ).

thf('64',plain,
    ( ( ( op1 @ e13 @ e11 )
     != e13 )
    | ( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e13 @ e11 ) )
     != e13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl28464]) ).

thf(zip_derived_cl39,plain,
    ( ( ( op1 @ e11 @ e13 )
      = e10 )
    | ( ( op1 @ e11 @ e12 )
      = e10 )
    | ( ( op1 @ e11 @ e11 )
      = e10 )
    | ( ( op1 @ e11 @ e10 )
      = e10 ) ),
    inference(cnf,[status(esa)],[ax2]) ).

thf('65',plain,
    ( ( ( op1 @ e11 @ e13 )
      = e10 )
    | ( ( op1 @ e11 @ e12 )
      = e10 )
    | ( ( op1 @ e11 @ e11 )
      = e10 )
    | ( ( op1 @ e11 @ e10 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl10,plain,
    ( ( ( op1 @ e11 @ e11 )
      = e13 )
    | ( ( op1 @ e11 @ e11 )
      = e12 )
    | ( ( op1 @ e11 @ e11 )
      = e11 )
    | ( ( op1 @ e11 @ e11 )
      = e10 ) ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1340,plain,
    ( ( ( op1 @ e11 @ e11 )
      = e10 )
   <= ( ( op1 @ e11 @ e11 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl255_086,plain,
    ( e12
    = ( op1 @ e11 @ e11 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl23289,plain,
    ( ( e12 = e10 )
   <= ( ( op1 @ e11 @ e11 )
      = e10 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1340,zip_derived_cl255]) ).

thf(zip_derived_cl196_087,plain,
    e10 != e12,
    inference(cnf,[status(esa)],[ax7]) ).

thf('66',plain,
    ( ( op1 @ e11 @ e11 )
   != e10 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl23289,zip_derived_cl196]) ).

thf('67',plain,
    ( ( ( op1 @ e13 @ e10 )
      = e12 )
    | ( ( op1 @ e13 @ e10 )
      = e10 )
    | ( ( op1 @ e13 @ e10 )
      = e13 )
    | ( ( op1 @ e13 @ e10 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl46,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e10 )
    | ( ( op1 @ e12 @ e10 )
      = e10 )
    | ( ( op1 @ e11 @ e10 )
      = e10 )
    | ( ( op1 @ e10 @ e10 )
      = e10 ) ),
    inference(cnf,[status(esa)],[ax2]) ).

thf('68',plain,
    ( ( ( op1 @ e10 @ e10 )
      = e10 )
    | ( ( op1 @ e13 @ e10 )
      = e10 )
    | ( ( op1 @ e11 @ e10 )
      = e10 )
    | ( ( op1 @ e12 @ e10 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl1328,plain,
    ( ( ( op1 @ e12 @ e10 )
      = e10 )
   <= ( ( op1 @ e12 @ e10 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl107,plain,
    ( ( op1 @ e12 @ e10 )
   != ( op1 @ e12 @ e11 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl22537_088,plain,
    ( e10
    = ( op1 @ e12 @ e11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl255]) ).

thf(zip_derived_cl22540,plain,
    ( ( op1 @ e12 @ e10 )
   != e10 ),
    inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl22537]) ).

thf(zip_derived_cl26522,plain,
    ( ( e10 != e10 )
   <= ( ( op1 @ e12 @ e10 )
      = e10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1328,zip_derived_cl22540]) ).

thf('69',plain,
    ( ( op1 @ e12 @ e10 )
   != e10 ),
    inference(simplify,[status(thm)],[zip_derived_cl26522]) ).

thf(zip_derived_cl17,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e13 )
    | ( ( op1 @ e13 @ e12 )
      = e13 )
    | ( ( op1 @ e13 @ e11 )
      = e13 )
    | ( ( op1 @ e13 @ e10 )
      = e13 ) ),
    inference(cnf,[status(esa)],[ax2]) ).

thf('70',plain,
    ( ( ( op1 @ e13 @ e13 )
      = e13 )
    | ( ( op1 @ e13 @ e11 )
      = e13 )
    | ( ( op1 @ e13 @ e10 )
      = e13 )
    | ( ( op1 @ e13 @ e12 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl27029_089,plain,
    ( e13
    = ( op1 @ e11 @ e10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22534,zip_derived_cl22537]) ).

thf(zip_derived_cl1344,plain,
    ( ( ( op1 @ e11 @ e10 )
      = e10 )
   <= ( ( op1 @ e11 @ e10 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl27036,plain,
    ( ( e13 = e10 )
   <= ( ( op1 @ e11 @ e10 )
      = e10 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl27029,zip_derived_cl1344]) ).

thf(zip_derived_cl195_090,plain,
    e10 != e13,
    inference(cnf,[status(esa)],[ax7]) ).

thf('71',plain,
    ( ( op1 @ e11 @ e10 )
   != e10 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl27036,zip_derived_cl195]) ).

thf(zip_derived_cl1346,plain,
    ( ( ( op1 @ e11 @ e10 )
      = e12 )
   <= ( ( op1 @ e11 @ e10 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl113,plain,
    ( ( op1 @ e11 @ e10 )
   != ( op1 @ e11 @ e11 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl255_091,plain,
    ( e12
    = ( op1 @ e11 @ e11 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl22530,plain,
    ( ( op1 @ e11 @ e10 )
   != e12 ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl255]) ).

thf(zip_derived_cl26392,plain,
    ( ( e12 != e12 )
   <= ( ( op1 @ e11 @ e10 )
      = e12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1346,zip_derived_cl22530]) ).

thf('72',plain,
    ( ( op1 @ e11 @ e10 )
   != e12 ),
    inference(simplify,[status(thm)],[zip_derived_cl26392]) ).

thf(zip_derived_cl27029_092,plain,
    ( e13
    = ( op1 @ e11 @ e10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22534,zip_derived_cl22537]) ).

thf(zip_derived_cl1345,plain,
    ( ( ( op1 @ e11 @ e10 )
      = e11 )
   <= ( ( op1 @ e11 @ e10 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl27037,plain,
    ( ( e13 = e11 )
   <= ( ( op1 @ e11 @ e10 )
      = e11 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl27029,zip_derived_cl1345]) ).

thf(zip_derived_cl193_093,plain,
    e11 != e13,
    inference(cnf,[status(esa)],[ax7]) ).

thf('73',plain,
    ( ( op1 @ e11 @ e10 )
   != e11 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl27037,zip_derived_cl193]) ).

thf('74',plain,
    ( ( ( op1 @ e11 @ e10 )
      = e13 )
    | ( ( op1 @ e11 @ e10 )
      = e11 )
    | ( ( op1 @ e11 @ e10 )
      = e12 )
    | ( ( op1 @ e11 @ e10 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1347_094,plain,
    ( ( ( op1 @ e11 @ e10 )
      = e13 )
   <= ( ( op1 @ e11 @ e10 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1315,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e13 )
   <= ( ( op1 @ e13 @ e10 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl139,plain,
    ( ( op1 @ e11 @ e10 )
   != ( op1 @ e13 @ e10 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl22910,plain,
    ( ( ( op1 @ e11 @ e10 )
     != e13 )
   <= ( ( op1 @ e13 @ e10 )
      = e13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1315,zip_derived_cl139]) ).

thf(zip_derived_cl26068,plain,
    ( ( e13 != e13 )
   <= ( ( ( op1 @ e13 @ e10 )
        = e13 )
      & ( ( op1 @ e11 @ e10 )
        = e13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1347,zip_derived_cl22910]) ).

thf('75',plain,
    ( ( ( op1 @ e13 @ e10 )
     != e13 )
    | ( ( op1 @ e11 @ e10 )
     != e13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26068]) ).

thf(zip_derived_cl1336,plain,
    ( ( ( op1 @ e11 @ e12 )
      = e10 )
   <= ( ( op1 @ e11 @ e12 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1304_095,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e10 )
   <= ( ( op1 @ e13 @ e12 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl127_096,plain,
    ( ( op1 @ e11 @ e12 )
   != ( op1 @ e13 @ e12 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl22724,plain,
    ( ( ( op1 @ e11 @ e12 )
     != e10 )
   <= ( ( op1 @ e13 @ e12 )
      = e10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1304,zip_derived_cl127]) ).

thf(zip_derived_cl25889,plain,
    ( ( e10 != e10 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e10 )
      & ( ( op1 @ e11 @ e12 )
        = e10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1336,zip_derived_cl22724]) ).

thf('76',plain,
    ( ( ( op1 @ e11 @ e12 )
     != e10 )
    | ( ( op1 @ e13 @ e12 )
     != e10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl25889]) ).

thf(zip_derived_cl1312_097,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e10 )
   <= ( ( op1 @ e13 @ e10 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl1304_098,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e10 )
   <= ( ( op1 @ e13 @ e12 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl100,plain,
    ( ( op1 @ e13 @ e10 )
   != ( op1 @ e13 @ e12 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl22722,plain,
    ( ( ( op1 @ e13 @ e10 )
     != e10 )
   <= ( ( op1 @ e13 @ e12 )
      = e10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1304,zip_derived_cl100]) ).

thf(zip_derived_cl25877,plain,
    ( ( e10 != e10 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e10 )
      & ( ( op1 @ e13 @ e10 )
        = e10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1312,zip_derived_cl22722]) ).

thf('77',plain,
    ( ( ( op1 @ e13 @ e10 )
     != e10 )
    | ( ( op1 @ e13 @ e12 )
     != e10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl25877]) ).

thf(zip_derived_cl1307_099,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e13 )
   <= ( ( op1 @ e13 @ e12 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl1304_100,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e10 )
   <= ( ( op1 @ e13 @ e12 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl22779,plain,
    ( ( e13 = e10 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e10 )
      & ( ( op1 @ e13 @ e12 )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1307,zip_derived_cl1304]) ).

thf(zip_derived_cl195_101,plain,
    e10 != e13,
    inference(cnf,[status(esa)],[ax7]) ).

thf('78',plain,
    ( ( ( op1 @ e13 @ e12 )
     != e13 )
    | ( ( op1 @ e13 @ e12 )
     != e10 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl22779,zip_derived_cl195]) ).

thf(zip_derived_cl1314_102,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e12 )
   <= ( ( op1 @ e13 @ e10 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl1302_103,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e12 )
   <= ( ( op1 @ e13 @ e13 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl99_104,plain,
    ( ( op1 @ e13 @ e10 )
   != ( op1 @ e13 @ e13 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl22685,plain,
    ( ( ( op1 @ e13 @ e10 )
     != e12 )
   <= ( ( op1 @ e13 @ e13 )
      = e12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1302,zip_derived_cl99]) ).

thf(zip_derived_cl25823,plain,
    ( ( e12 != e12 )
   <= ( ( ( op1 @ e13 @ e13 )
        = e12 )
      & ( ( op1 @ e13 @ e10 )
        = e12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1314,zip_derived_cl22685]) ).

thf('79',plain,
    ( ( ( op1 @ e13 @ e13 )
     != e12 )
    | ( ( op1 @ e13 @ e10 )
     != e12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl25823]) ).

thf(zip_derived_cl1306,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e12 )
   <= ( ( op1 @ e13 @ e12 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl1302_105,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e12 )
   <= ( ( op1 @ e13 @ e13 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl96,plain,
    ( ( op1 @ e13 @ e12 )
   != ( op1 @ e13 @ e13 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl22683,plain,
    ( ( ( op1 @ e13 @ e12 )
     != e12 )
   <= ( ( op1 @ e13 @ e13 )
      = e12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1302,zip_derived_cl96]) ).

thf(zip_derived_cl25813,plain,
    ( ( e12 != e12 )
   <= ( ( ( op1 @ e13 @ e13 )
        = e12 )
      & ( ( op1 @ e13 @ e12 )
        = e12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1306,zip_derived_cl22683]) ).

thf('80',plain,
    ( ( ( op1 @ e13 @ e13 )
     != e12 )
    | ( ( op1 @ e13 @ e12 )
     != e12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl25813]) ).

thf(zip_derived_cl1303,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e13 )
   <= ( ( op1 @ e13 @ e13 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl1302_106,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e12 )
   <= ( ( op1 @ e13 @ e13 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl22710,plain,
    ( ( e13 = e12 )
   <= ( ( ( op1 @ e13 @ e13 )
        = e12 )
      & ( ( op1 @ e13 @ e13 )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1303,zip_derived_cl1302]) ).

thf(zip_derived_cl192_107,plain,
    e12 != e13,
    inference(cnf,[status(esa)],[ax7]) ).

thf('81',plain,
    ( ( ( op1 @ e13 @ e13 )
     != e12 )
    | ( ( op1 @ e13 @ e13 )
     != e13 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl22710,zip_derived_cl192]) ).

thf(zip_derived_cl1302_108,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e12 )
   <= ( ( op1 @ e13 @ e13 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl1301,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e11 )
   <= ( ( op1 @ e13 @ e13 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl22690,plain,
    ( ( e12 = e11 )
   <= ( ( ( op1 @ e13 @ e13 )
        = e11 )
      & ( ( op1 @ e13 @ e13 )
        = e12 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1302,zip_derived_cl1301]) ).

thf(zip_derived_cl194_109,plain,
    e11 != e12,
    inference(cnf,[status(esa)],[ax7]) ).

thf('82',plain,
    ( ( ( op1 @ e13 @ e13 )
     != e12 )
    | ( ( op1 @ e13 @ e13 )
     != e11 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl22690,zip_derived_cl194]) ).

thf(zip_derived_cl1302_110,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e12 )
   <= ( ( op1 @ e13 @ e13 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl1300,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e10 )
   <= ( ( op1 @ e13 @ e13 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl22689,plain,
    ( ( e12 = e10 )
   <= ( ( ( op1 @ e13 @ e13 )
        = e10 )
      & ( ( op1 @ e13 @ e13 )
        = e12 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1302,zip_derived_cl1300]) ).

thf(zip_derived_cl196_111,plain,
    e10 != e12,
    inference(cnf,[status(esa)],[ax7]) ).

thf('83',plain,
    ( ( ( op1 @ e13 @ e13 )
     != e12 )
    | ( ( op1 @ e13 @ e13 )
     != e10 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl22689,zip_derived_cl196]) ).

thf(zip_derived_cl5,plain,
    ( ( ( op1 @ e12 @ e12 )
      = e13 )
    | ( ( op1 @ e12 @ e12 )
      = e12 )
    | ( ( op1 @ e12 @ e12 )
      = e11 )
    | ( ( op1 @ e12 @ e12 )
      = e10 ) ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1323,plain,
    ( ( ( op1 @ e12 @ e12 )
      = e13 )
   <= ( ( op1 @ e12 @ e12 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl22776_112,plain,
    ( ( ( op1 @ e12 @ e12 )
     != e13 )
   <= ( ( op1 @ e13 @ e12 )
      = e13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1307,zip_derived_cl126]) ).

thf(zip_derived_cl25962,plain,
    ( ( e13 != e13 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e13 )
      & ( ( op1 @ e12 @ e12 )
        = e13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1323,zip_derived_cl22776]) ).

thf('84',plain,
    ( ( ( op1 @ e13 @ e12 )
     != e13 )
    | ( ( op1 @ e12 @ e12 )
     != e13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl25962]) ).

thf(zip_derived_cl1307_113,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e13 )
   <= ( ( op1 @ e13 @ e12 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl228,plain,
    ( ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
      = e13 )
    | ~ zip_tseitin_2 ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl1701,plain,
    ( ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
      = e13 )
   <= ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl228]) ).

thf(zip_derived_cl26530,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e13 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e13 )
      & ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1307,zip_derived_cl1701]) ).

thf(zip_derived_cl96_114,plain,
    ( ( op1 @ e13 @ e12 )
   != ( op1 @ e13 @ e13 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl28654,plain,
    ( ( ( op1 @ e13 @ e12 )
     != e13 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e13 )
      & ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
        = e13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26530,zip_derived_cl96]) ).

thf(zip_derived_cl1307_115,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e13 )
   <= ( ( op1 @ e13 @ e12 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl28667,plain,
    ( ( e13 != e13 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e13 )
      & ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
        = e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl28654,zip_derived_cl1307]) ).

thf('85',plain,
    ( ( ( op1 @ e13 @ e12 )
     != e13 )
    | ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
     != e13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl28667]) ).

thf(zip_derived_cl1307_116,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e13 )
   <= ( ( op1 @ e13 @ e12 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl1306_117,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e12 )
   <= ( ( op1 @ e13 @ e12 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl22781,plain,
    ( ( e13 = e12 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e12 )
      & ( ( op1 @ e13 @ e12 )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1307,zip_derived_cl1306]) ).

thf(zip_derived_cl192_118,plain,
    e12 != e13,
    inference(cnf,[status(esa)],[ax7]) ).

thf('86',plain,
    ( ( ( op1 @ e13 @ e12 )
     != e13 )
    | ( ( op1 @ e13 @ e12 )
     != e12 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl22781,zip_derived_cl192]) ).

thf(zip_derived_cl1306_119,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e12 )
   <= ( ( op1 @ e13 @ e12 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl1701_120,plain,
    ( ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
      = e13 )
   <= ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl228]) ).

thf(zip_derived_cl26529,plain,
    ( ( ( op1 @ e12 @ e12 )
      = e13 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e12 )
      & ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1306,zip_derived_cl1701]) ).

thf(zip_derived_cl229,plain,
    ( ( ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) )
      = e12 )
    | ~ zip_tseitin_2 ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl1702,plain,
    ( ( ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) )
      = e12 )
   <= ( ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl229]) ).

thf(zip_derived_cl28564,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e12 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e12 )
      & ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
        = e13 )
      & ( ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) )
        = e12 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl26529,zip_derived_cl1702]) ).

thf(zip_derived_cl96_121,plain,
    ( ( op1 @ e13 @ e12 )
   != ( op1 @ e13 @ e13 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl28606,plain,
    ( ( ( op1 @ e13 @ e12 )
     != e12 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e12 )
      & ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
        = e13 )
      & ( ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) )
        = e12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28564,zip_derived_cl96]) ).

thf(zip_derived_cl1306_122,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e12 )
   <= ( ( op1 @ e13 @ e12 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl28619,plain,
    ( ( e12 != e12 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e12 )
      & ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
        = e13 )
      & ( ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) )
        = e12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl28606,zip_derived_cl1306]) ).

thf('87',plain,
    ( ( ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) )
     != e12 )
    | ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
     != e13 )
    | ( ( op1 @ e13 @ e12 )
     != e12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl28619]) ).

thf(zip_derived_cl1304_123,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e10 )
   <= ( ( op1 @ e13 @ e12 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl1701_124,plain,
    ( ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
      = e13 )
   <= ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl228]) ).

thf(zip_derived_cl26527,plain,
    ( ( ( op1 @ e10 @ e10 )
      = e13 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e10 )
      & ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1304,zip_derived_cl1701]) ).

thf(zip_derived_cl27034_125,plain,
    ( ( op1 @ e10 @ e10 )
   != e13 ),
    inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl27029]) ).

thf('88',plain,
    ( ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
     != e13 )
    | ( ( op1 @ e13 @ e12 )
     != e10 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl26527,zip_derived_cl27034]) ).

thf(zip_derived_cl1305_126,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e11 )
   <= ( ( op1 @ e13 @ e12 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl1701_127,plain,
    ( ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
      = e13 )
   <= ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl228]) ).

thf(zip_derived_cl26528,plain,
    ( ( ( op1 @ e11 @ e11 )
      = e13 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e11 )
      & ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1305,zip_derived_cl1701]) ).

thf(zip_derived_cl255_128,plain,
    ( e12
    = ( op1 @ e11 @ e11 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl26535,plain,
    ( ( e12 = e13 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e11 )
      & ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
        = e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl26528,zip_derived_cl255]) ).

thf(zip_derived_cl192_129,plain,
    e12 != e13,
    inference(cnf,[status(esa)],[ax7]) ).

thf('89',plain,
    ( ( ( op1 @ e13 @ e12 )
     != e11 )
    | ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
     != e13 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl26535,zip_derived_cl192]) ).

thf('90',plain,
    ( ~ zip_tseitin_2
    | ( ( op1 @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e12 ) )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl228]) ).

thf('91',plain,
    ( ~ zip_tseitin_2
    | ( ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl229]) ).

thf('92',plain,
    ( ( ( op1 @ e13 @ e12 )
      = e10 )
    | ( ( op1 @ e13 @ e12 )
      = e11 )
    | ( ( op1 @ e13 @ e12 )
      = e13 )
    | ( ( op1 @ e13 @ e12 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl1325,plain,
    ( ( ( op1 @ e12 @ e11 )
      = e11 )
   <= ( ( op1 @ e12 @ e11 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl22537_130,plain,
    ( e10
    = ( op1 @ e12 @ e11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl255]) ).

thf(zip_derived_cl23069,plain,
    ( ( e10 = e11 )
   <= ( ( op1 @ e12 @ e11 )
      = e11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1325,zip_derived_cl22537]) ).

thf(zip_derived_cl197_131,plain,
    e10 != e11,
    inference(cnf,[status(esa)],[ax7]) ).

thf('93',plain,
    ( ( op1 @ e12 @ e11 )
   != e11 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl23069,zip_derived_cl197]) ).

thf(zip_derived_cl1341,plain,
    ( ( ( op1 @ e11 @ e11 )
      = e11 )
   <= ( ( op1 @ e11 @ e11 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl255_132,plain,
    ( e12
    = ( op1 @ e11 @ e11 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl23303,plain,
    ( ( e12 = e11 )
   <= ( ( op1 @ e11 @ e11 )
      = e11 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1341,zip_derived_cl255]) ).

thf(zip_derived_cl194_133,plain,
    e11 != e12,
    inference(cnf,[status(esa)],[ax7]) ).

thf('94',plain,
    ( ( op1 @ e11 @ e11 )
   != e11 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl23303,zip_derived_cl194]) ).

thf(zip_derived_cl1309,plain,
    ( ( ( op1 @ e13 @ e11 )
      = e11 )
   <= ( ( op1 @ e13 @ e11 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl1693_134,plain,
    ( ( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e13 @ e11 ) )
      = e13 )
   <= ( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e13 @ e11 ) )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl224]) ).

thf(zip_derived_cl26428,plain,
    ( ( ( op1 @ e11 @ e11 )
      = e13 )
   <= ( ( ( op1 @ e13 @ e11 )
        = e11 )
      & ( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e13 @ e11 ) )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1309,zip_derived_cl1693]) ).

thf(zip_derived_cl255_135,plain,
    ( e12
    = ( op1 @ e11 @ e11 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl26433,plain,
    ( ( e12 = e13 )
   <= ( ( ( op1 @ e13 @ e11 )
        = e11 )
      & ( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e13 @ e11 ) )
        = e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl26428,zip_derived_cl255]) ).

thf(zip_derived_cl192_136,plain,
    e12 != e13,
    inference(cnf,[status(esa)],[ax7]) ).

thf('95',plain,
    ( ( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e13 @ e11 ) )
     != e13 )
    | ( ( op1 @ e13 @ e11 )
     != e11 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl26433,zip_derived_cl192]) ).

thf(zip_derived_cl14,plain,
    ( ( ( op1 @ e10 @ e11 )
      = e13 )
    | ( ( op1 @ e10 @ e11 )
      = e12 )
    | ( ( op1 @ e10 @ e11 )
      = e11 )
    | ( ( op1 @ e10 @ e11 )
      = e10 ) ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1357,plain,
    ( ( ( op1 @ e10 @ e11 )
      = e11 )
   <= ( ( op1 @ e10 @ e11 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl227,plain,
    ( ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e11 ) )
      = e10 )
    | ~ zip_tseitin_1 ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl1698,plain,
    ( ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e11 ) )
      = e10 )
   <= ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e11 ) )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl227]) ).

thf(zip_derived_cl26517,plain,
    ( ( ( op1 @ e11 @ e11 )
      = e10 )
   <= ( ( ( op1 @ e10 @ e11 )
        = e11 )
      & ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e11 ) )
        = e10 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1357,zip_derived_cl1698]) ).

thf(zip_derived_cl255_137,plain,
    ( e12
    = ( op1 @ e11 @ e11 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl28486,plain,
    ( ( e12 = e10 )
   <= ( ( ( op1 @ e10 @ e11 )
        = e11 )
      & ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e11 ) )
        = e10 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl26517,zip_derived_cl255]) ).

thf(zip_derived_cl196_138,plain,
    e10 != e12,
    inference(cnf,[status(esa)],[ax7]) ).

thf('96',plain,
    ( ( ( op1 @ e10 @ e11 )
     != e11 )
    | ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e11 ) )
     != e10 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl28486,zip_derived_cl196]) ).

thf('97',plain,
    ( ~ zip_tseitin_1
    | ( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e13 @ e11 ) )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl224]) ).

thf('98',plain,
    ( ~ zip_tseitin_1
    | ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e11 ) )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl227]) ).

thf(zip_derived_cl36,plain,
    ( ( ( op1 @ e13 @ e11 )
      = e11 )
    | ( ( op1 @ e12 @ e11 )
      = e11 )
    | ( ( op1 @ e11 @ e11 )
      = e11 )
    | ( ( op1 @ e10 @ e11 )
      = e11 ) ),
    inference(cnf,[status(esa)],[ax2]) ).

thf('99',plain,
    ( ( ( op1 @ e13 @ e11 )
      = e11 )
    | ( ( op1 @ e10 @ e11 )
      = e11 )
    | ( ( op1 @ e12 @ e11 )
      = e11 )
    | ( ( op1 @ e11 @ e11 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zf_stmt_8,type,
    zip_tseitin_3: $o ).

thf(zf_stmt_9,type,
    zip_tseitin_2: $o ).

thf(zf_stmt_10,type,
    zip_tseitin_1: $o ).

thf(zf_stmt_11,type,
    zip_tseitin_0: $o ).

thf(zf_stmt_12,axiom,
    ( zip_tseitin_3
    | zip_tseitin_2
    | zip_tseitin_1
    | zip_tseitin_0 ) ).

thf(zip_derived_cl236,plain,
    ( zip_tseitin_3
    | zip_tseitin_2
    | zip_tseitin_1
    | zip_tseitin_0 ),
    inference(cnf,[status(esa)],[zf_stmt_12]) ).

thf('100',plain,
    ( zip_tseitin_0
    | zip_tseitin_1
    | zip_tseitin_2
    | zip_tseitin_3 ),
    inference(split,[status(esa)],[zip_derived_cl236]) ).

thf('101',plain,
    ( ( ( op1 @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e10 ) )
      = e10 )
    | ~ zip_tseitin_0 ),
    inference(split,[status(esa)],[zip_derived_cl223]) ).

thf('102',plain,
    ( ( op1 @ e10 @ e10 )
    = e10 ),
    inference('sat_resolution*',[status(thm)],['21','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','22','23']) ).

thf(zip_derived_cl29092,plain,
    ( ( op1 @ e10 @ e10 )
    = e10 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl1360,'102']) ).

thf(zip_derived_cl6876,plain,
    ( ( ( h2 @ ( op1 @ e10 @ e10 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) )
   <= ( ( h2 @ ( op1 @ e10 @ e10 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl532]) ).

thf(zip_derived_cl22587_139,plain,
    ( ( h2 @ e10 )
    = e20 ),
    inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl258,zip_derived_cl22557]) ).

thf(zip_derived_cl22587_140,plain,
    ( ( h2 @ e10 )
    = e20 ),
    inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl258,zip_derived_cl22557]) ).

thf(zip_derived_cl34928,plain,
    ( ( ( h2 @ ( op1 @ e10 @ e10 ) )
     != ( op2 @ e20 @ e20 ) )
   <= ( ( h2 @ ( op1 @ e10 @ e10 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6876,zip_derived_cl22587,zip_derived_cl22587]) ).

thf(zip_derived_cl50513,plain,
    ( ( ( h2 @ e10 )
     != ( op2 @ e20 @ e20 ) )
   <= ( ( h2 @ ( op1 @ e10 @ e10 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29092,zip_derived_cl34928]) ).

thf(zip_derived_cl22587_141,plain,
    ( ( h2 @ e10 )
    = e20 ),
    inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl258,zip_derived_cl22557]) ).

thf(zip_derived_cl50552,plain,
    ( ( e20
     != ( op2 @ e20 @ e20 ) )
   <= ( ( h2 @ ( op1 @ e10 @ e10 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl50513,zip_derived_cl22587]) ).

thf(zip_derived_cl50590,plain,
    ( ( e20 != e20 )
   <= ( ( ( h2 @ ( op1 @ e10 @ e10 ) )
       != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) )
      & ( ( op2 @ e20 @ e20 )
        = e20 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl50552]) ).

thf('103',plain,
    ( ( ( h2 @ ( op1 @ e10 @ e10 ) )
      = ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) )
    | ( ( op2 @ e20 @ e20 )
     != e20 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl50590]) ).

thf(zip_derived_cl1546,plain,
    ( ( ( op2 @ e20 @ e22 )
      = e22 )
   <= ( ( op2 @ e20 @ e22 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl13,plain,
    ( ( ( op1 @ e10 @ e12 )
      = e13 )
    | ( ( op1 @ e10 @ e12 )
      = e12 )
    | ( ( op1 @ e10 @ e12 )
      = e11 )
    | ( ( op1 @ e10 @ e12 )
      = e10 ) ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1354,plain,
    ( ( ( op1 @ e10 @ e12 )
      = e12 )
   <= ( ( op1 @ e10 @ e12 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl26357_142,plain,
    ( ( ( op1 @ e12 @ e12 )
      = e13 )
   <= ( ( ( op1 @ e13 @ e10 )
        = e12 )
      & ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1314,zip_derived_cl1685]) ).

thf(zip_derived_cl1322,plain,
    ( ( ( op1 @ e12 @ e12 )
      = e12 )
   <= ( ( op1 @ e12 @ e12 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl28282,plain,
    ( ( e13 = e12 )
   <= ( ( ( op1 @ e13 @ e10 )
        = e12 )
      & ( ( op1 @ e12 @ e12 )
        = e12 )
      & ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl26357,zip_derived_cl1322]) ).

thf(zip_derived_cl192_143,plain,
    e12 != e13,
    inference(cnf,[status(esa)],[ax7]) ).

thf('104',plain,
    ( ( ( op1 @ e12 @ e12 )
     != e12 )
    | ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
     != e13 )
    | ( ( op1 @ e13 @ e10 )
     != e12 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl28282,zip_derived_cl192]) ).

thf(zip_derived_cl1338,plain,
    ( ( ( op1 @ e11 @ e12 )
      = e12 )
   <= ( ( op1 @ e11 @ e12 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl110,plain,
    ( ( op1 @ e11 @ e11 )
   != ( op1 @ e11 @ e12 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl255_144,plain,
    ( e12
    = ( op1 @ e11 @ e11 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl22529,plain,
    ( e12
   != ( op1 @ e11 @ e12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl255]) ).

thf(zip_derived_cl26374,plain,
    ( ( e12 != e12 )
   <= ( ( op1 @ e11 @ e12 )
      = e12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1338,zip_derived_cl22529]) ).

thf('105',plain,
    ( ( op1 @ e11 @ e12 )
   != e12 ),
    inference(simplify,[status(thm)],[zip_derived_cl26374]) ).

thf(zip_derived_cl1330,plain,
    ( ( ( op1 @ e12 @ e10 )
      = e12 )
   <= ( ( op1 @ e12 @ e10 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl221,plain,
    ( ( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e10 ) )
      = e12 )
    | ~ zip_tseitin_0 ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl1686,plain,
    ( ( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e10 ) )
      = e12 )
   <= ( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e10 ) )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl221]) ).

thf(zip_derived_cl26379,plain,
    ( ( ( op1 @ e12 @ e12 )
      = e12 )
   <= ( ( ( op1 @ e12 @ e10 )
        = e12 )
      & ( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e10 ) )
        = e12 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1330,zip_derived_cl1686]) ).

thf(zip_derived_cl106,plain,
    ( ( op1 @ e12 @ e10 )
   != ( op1 @ e12 @ e12 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl28380,plain,
    ( ( ( op1 @ e12 @ e10 )
     != e12 )
   <= ( ( ( op1 @ e12 @ e10 )
        = e12 )
      & ( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e10 ) )
        = e12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26379,zip_derived_cl106]) ).

thf(zip_derived_cl1330_145,plain,
    ( ( ( op1 @ e12 @ e10 )
      = e12 )
   <= ( ( op1 @ e12 @ e10 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl28402,plain,
    ( ( e12 != e12 )
   <= ( ( ( op1 @ e12 @ e10 )
        = e12 )
      & ( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e10 ) )
        = e12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl28380,zip_derived_cl1330]) ).

thf('106',plain,
    ( ( ( op1 @ e12 @ e10 )
     != e12 )
    | ( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e10 ) )
     != e12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl28402]) ).

thf('107',plain,
    ( ( ( op1 @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e10 ) )
      = e12 )
    | ~ zip_tseitin_0 ),
    inference(split,[status(esa)],[zip_derived_cl221]) ).

thf(zip_derived_cl42,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e12 )
    | ( ( op1 @ e12 @ e10 )
      = e12 )
    | ( ( op1 @ e11 @ e10 )
      = e12 )
    | ( ( op1 @ e10 @ e10 )
      = e12 ) ),
    inference(cnf,[status(esa)],[ax2]) ).

thf('108',plain,
    ( ( ( op1 @ e13 @ e10 )
      = e12 )
    | ( ( op1 @ e12 @ e10 )
      = e12 )
    | ( ( op1 @ e10 @ e10 )
      = e12 )
    | ( ( op1 @ e11 @ e10 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1314_146,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e12 )
   <= ( ( op1 @ e13 @ e10 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl1306_147,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e12 )
   <= ( ( op1 @ e13 @ e12 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl100_148,plain,
    ( ( op1 @ e13 @ e10 )
   != ( op1 @ e13 @ e12 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl22756,plain,
    ( ( ( op1 @ e13 @ e10 )
     != e12 )
   <= ( ( op1 @ e13 @ e12 )
      = e12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1306,zip_derived_cl100]) ).

thf(zip_derived_cl25931,plain,
    ( ( e12 != e12 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e12 )
      & ( ( op1 @ e13 @ e10 )
        = e12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1314,zip_derived_cl22756]) ).

thf('109',plain,
    ( ( ( op1 @ e13 @ e12 )
     != e12 )
    | ( ( op1 @ e13 @ e10 )
     != e12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl25931]) ).

thf(zip_derived_cl26,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e12 )
    | ( ( op1 @ e12 @ e12 )
      = e12 )
    | ( ( op1 @ e11 @ e12 )
      = e12 )
    | ( ( op1 @ e10 @ e12 )
      = e12 ) ),
    inference(cnf,[status(esa)],[ax2]) ).

thf('110',plain,
    ( ( ( op1 @ e10 @ e12 )
      = e12 )
    | ( ( op1 @ e13 @ e12 )
      = e12 )
    | ( ( op1 @ e11 @ e12 )
      = e12 )
    | ( ( op1 @ e12 @ e12 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf('111',plain,
    ( ( op1 @ e10 @ e12 )
    = e12 ),
    inference('sat_resolution*',[status(thm)],['104','105','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','72','106','25','107','101','108','109','110']) ).

thf(zip_derived_cl29091,plain,
    ( ( op1 @ e10 @ e12 )
    = e12 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl1354,'111']) ).

thf(zip_derived_cl6878,plain,
    ( ( ( h2 @ ( op1 @ e10 @ e12 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
   <= ( ( h2 @ ( op1 @ e10 @ e12 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl532]) ).

thf(zip_derived_cl22587_149,plain,
    ( ( h2 @ e10 )
    = e20 ),
    inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl258,zip_derived_cl22557]) ).

thf(zip_derived_cl22582_150,plain,
    ( ( h2 @ e12 )
    = e22 ),
    inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl258]) ).

thf(zip_derived_cl34934,plain,
    ( ( ( h2 @ ( op1 @ e10 @ e12 ) )
     != ( op2 @ e20 @ e22 ) )
   <= ( ( h2 @ ( op1 @ e10 @ e12 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6878,zip_derived_cl22587,zip_derived_cl22582]) ).

thf(zip_derived_cl50455,plain,
    ( ( ( h2 @ e12 )
     != ( op2 @ e20 @ e22 ) )
   <= ( ( h2 @ ( op1 @ e10 @ e12 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29091,zip_derived_cl34934]) ).

thf(zip_derived_cl22582_151,plain,
    ( ( h2 @ e12 )
    = e22 ),
    inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl258]) ).

thf(zip_derived_cl50480,plain,
    ( ( e22
     != ( op2 @ e20 @ e22 ) )
   <= ( ( h2 @ ( op1 @ e10 @ e12 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl50455,zip_derived_cl22582]) ).

thf(zip_derived_cl50587,plain,
    ( ( e22 != e22 )
   <= ( ( ( h2 @ ( op1 @ e10 @ e12 ) )
       != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
      & ( ( op2 @ e20 @ e22 )
        = e22 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl50480]) ).

thf('112',plain,
    ( ( ( h2 @ ( op1 @ e10 @ e12 ) )
      = ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
    | ( ( op2 @ e20 @ e22 )
     != e22 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl50587]) ).

thf(zip_derived_cl1506_152,plain,
    ( ( ( op2 @ e23 @ e20 )
      = e22 )
   <= ( ( op2 @ e23 @ e20 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl1314_153,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e12 )
   <= ( ( op1 @ e13 @ e10 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf('113',plain,
    ( ( op1 @ e13 @ e10 )
    = e12 ),
    inference('sat_resolution*',[status(thm)],['26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','72','106','25','107','101','108']) ).

thf(zip_derived_cl29087,plain,
    ( ( op1 @ e13 @ e10 )
    = e12 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl1314,'113']) ).

thf(zip_derived_cl6888,plain,
    ( ( ( h2 @ ( op1 @ e13 @ e10 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
   <= ( ( h2 @ ( op1 @ e13 @ e10 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl532]) ).

thf(zip_derived_cl27405_154,plain,
    ( ( h2 @ e13 )
    = e23 ),
    inference(demod,[status(thm)],[zip_derived_cl22575,zip_derived_cl27398]) ).

thf(zip_derived_cl22587_155,plain,
    ( ( h2 @ e10 )
    = e20 ),
    inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl258,zip_derived_cl22557]) ).

thf(zip_derived_cl34975,plain,
    ( ( ( h2 @ ( op1 @ e13 @ e10 ) )
     != ( op2 @ e23 @ e20 ) )
   <= ( ( h2 @ ( op1 @ e13 @ e10 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6888,zip_derived_cl27405,zip_derived_cl22587]) ).

thf(zip_derived_cl50147,plain,
    ( ( ( h2 @ e12 )
     != ( op2 @ e23 @ e20 ) )
   <= ( ( h2 @ ( op1 @ e13 @ e10 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29087,zip_derived_cl34975]) ).

thf(zip_derived_cl22582_156,plain,
    ( ( h2 @ e12 )
    = e22 ),
    inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl258]) ).

thf(zip_derived_cl50177,plain,
    ( ( e22
     != ( op2 @ e23 @ e20 ) )
   <= ( ( h2 @ ( op1 @ e13 @ e10 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl50147,zip_derived_cl22582]) ).

thf(zip_derived_cl50279,plain,
    ( ( e22 != e22 )
   <= ( ( ( h2 @ ( op1 @ e13 @ e10 ) )
       != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
      & ( ( op2 @ e23 @ e20 )
        = e22 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1506,zip_derived_cl50177]) ).

thf('114',plain,
    ( ( ( h2 @ ( op1 @ e13 @ e10 ) )
      = ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
    | ( ( op2 @ e23 @ e20 )
     != e22 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl50279]) ).

thf(ax4,axiom,
    ( ( ( ( op2 @ e23 @ e23 )
        = e23 )
      | ( ( op2 @ e22 @ e23 )
        = e23 )
      | ( ( op2 @ e21 @ e23 )
        = e23 )
      | ( ( op2 @ e20 @ e23 )
        = e23 ) )
    & ( ( ( op2 @ e23 @ e23 )
        = e23 )
      | ( ( op2 @ e23 @ e22 )
        = e23 )
      | ( ( op2 @ e23 @ e21 )
        = e23 )
      | ( ( op2 @ e23 @ e20 )
        = e23 ) )
    & ( ( ( op2 @ e23 @ e23 )
        = e22 )
      | ( ( op2 @ e22 @ e23 )
        = e22 )
      | ( ( op2 @ e21 @ e23 )
        = e22 )
      | ( ( op2 @ e20 @ e23 )
        = e22 ) )
    & ( ( ( op2 @ e23 @ e23 )
        = e22 )
      | ( ( op2 @ e23 @ e22 )
        = e22 )
      | ( ( op2 @ e23 @ e21 )
        = e22 )
      | ( ( op2 @ e23 @ e20 )
        = e22 ) )
    & ( ( ( op2 @ e23 @ e23 )
        = e21 )
      | ( ( op2 @ e22 @ e23 )
        = e21 )
      | ( ( op2 @ e21 @ e23 )
        = e21 )
      | ( ( op2 @ e20 @ e23 )
        = e21 ) )
    & ( ( ( op2 @ e23 @ e23 )
        = e21 )
      | ( ( op2 @ e23 @ e22 )
        = e21 )
      | ( ( op2 @ e23 @ e21 )
        = e21 )
      | ( ( op2 @ e23 @ e20 )
        = e21 ) )
    & ( ( ( op2 @ e23 @ e23 )
        = e20 )
      | ( ( op2 @ e22 @ e23 )
        = e20 )
      | ( ( op2 @ e21 @ e23 )
        = e20 )
      | ( ( op2 @ e20 @ e23 )
        = e20 ) )
    & ( ( ( op2 @ e23 @ e23 )
        = e20 )
      | ( ( op2 @ e23 @ e22 )
        = e20 )
      | ( ( op2 @ e23 @ e21 )
        = e20 )
      | ( ( op2 @ e23 @ e20 )
        = e20 ) )
    & ( ( ( op2 @ e23 @ e22 )
        = e23 )
      | ( ( op2 @ e22 @ e22 )
        = e23 )
      | ( ( op2 @ e21 @ e22 )
        = e23 )
      | ( ( op2 @ e20 @ e22 )
        = e23 ) )
    & ( ( ( op2 @ e22 @ e23 )
        = e23 )
      | ( ( op2 @ e22 @ e22 )
        = e23 )
      | ( ( op2 @ e22 @ e21 )
        = e23 )
      | ( ( op2 @ e22 @ e20 )
        = e23 ) )
    & ( ( ( op2 @ e23 @ e22 )
        = e22 )
      | ( ( op2 @ e22 @ e22 )
        = e22 )
      | ( ( op2 @ e21 @ e22 )
        = e22 )
      | ( ( op2 @ e20 @ e22 )
        = e22 ) )
    & ( ( ( op2 @ e22 @ e23 )
        = e22 )
      | ( ( op2 @ e22 @ e22 )
        = e22 )
      | ( ( op2 @ e22 @ e21 )
        = e22 )
      | ( ( op2 @ e22 @ e20 )
        = e22 ) )
    & ( ( ( op2 @ e23 @ e22 )
        = e21 )
      | ( ( op2 @ e22 @ e22 )
        = e21 )
      | ( ( op2 @ e21 @ e22 )
        = e21 )
      | ( ( op2 @ e20 @ e22 )
        = e21 ) )
    & ( ( ( op2 @ e22 @ e23 )
        = e21 )
      | ( ( op2 @ e22 @ e22 )
        = e21 )
      | ( ( op2 @ e22 @ e21 )
        = e21 )
      | ( ( op2 @ e22 @ e20 )
        = e21 ) )
    & ( ( ( op2 @ e23 @ e22 )
        = e20 )
      | ( ( op2 @ e22 @ e22 )
        = e20 )
      | ( ( op2 @ e21 @ e22 )
        = e20 )
      | ( ( op2 @ e20 @ e22 )
        = e20 ) )
    & ( ( ( op2 @ e22 @ e23 )
        = e20 )
      | ( ( op2 @ e22 @ e22 )
        = e20 )
      | ( ( op2 @ e22 @ e21 )
        = e20 )
      | ( ( op2 @ e22 @ e20 )
        = e20 ) )
    & ( ( ( op2 @ e23 @ e21 )
        = e23 )
      | ( ( op2 @ e22 @ e21 )
        = e23 )
      | ( ( op2 @ e21 @ e21 )
        = e23 )
      | ( ( op2 @ e20 @ e21 )
        = e23 ) )
    & ( ( ( op2 @ e21 @ e23 )
        = e23 )
      | ( ( op2 @ e21 @ e22 )
        = e23 )
      | ( ( op2 @ e21 @ e21 )
        = e23 )
      | ( ( op2 @ e21 @ e20 )
        = e23 ) )
    & ( ( ( op2 @ e23 @ e21 )
        = e22 )
      | ( ( op2 @ e22 @ e21 )
        = e22 )
      | ( ( op2 @ e21 @ e21 )
        = e22 )
      | ( ( op2 @ e20 @ e21 )
        = e22 ) )
    & ( ( ( op2 @ e21 @ e23 )
        = e22 )
      | ( ( op2 @ e21 @ e22 )
        = e22 )
      | ( ( op2 @ e21 @ e21 )
        = e22 )
      | ( ( op2 @ e21 @ e20 )
        = e22 ) )
    & ( ( ( op2 @ e23 @ e21 )
        = e21 )
      | ( ( op2 @ e22 @ e21 )
        = e21 )
      | ( ( op2 @ e21 @ e21 )
        = e21 )
      | ( ( op2 @ e20 @ e21 )
        = e21 ) )
    & ( ( ( op2 @ e21 @ e23 )
        = e21 )
      | ( ( op2 @ e21 @ e22 )
        = e21 )
      | ( ( op2 @ e21 @ e21 )
        = e21 )
      | ( ( op2 @ e21 @ e20 )
        = e21 ) )
    & ( ( ( op2 @ e23 @ e21 )
        = e20 )
      | ( ( op2 @ e22 @ e21 )
        = e20 )
      | ( ( op2 @ e21 @ e21 )
        = e20 )
      | ( ( op2 @ e20 @ e21 )
        = e20 ) )
    & ( ( ( op2 @ e21 @ e23 )
        = e20 )
      | ( ( op2 @ e21 @ e22 )
        = e20 )
      | ( ( op2 @ e21 @ e21 )
        = e20 )
      | ( ( op2 @ e21 @ e20 )
        = e20 ) )
    & ( ( ( op2 @ e23 @ e20 )
        = e23 )
      | ( ( op2 @ e22 @ e20 )
        = e23 )
      | ( ( op2 @ e21 @ e20 )
        = e23 )
      | ( ( op2 @ e20 @ e20 )
        = e23 ) )
    & ( ( ( op2 @ e20 @ e23 )
        = e23 )
      | ( ( op2 @ e20 @ e22 )
        = e23 )
      | ( ( op2 @ e20 @ e21 )
        = e23 )
      | ( ( op2 @ e20 @ e20 )
        = e23 ) )
    & ( ( ( op2 @ e23 @ e20 )
        = e22 )
      | ( ( op2 @ e22 @ e20 )
        = e22 )
      | ( ( op2 @ e21 @ e20 )
        = e22 )
      | ( ( op2 @ e20 @ e20 )
        = e22 ) )
    & ( ( ( op2 @ e20 @ e23 )
        = e22 )
      | ( ( op2 @ e20 @ e22 )
        = e22 )
      | ( ( op2 @ e20 @ e21 )
        = e22 )
      | ( ( op2 @ e20 @ e20 )
        = e22 ) )
    & ( ( ( op2 @ e23 @ e20 )
        = e21 )
      | ( ( op2 @ e22 @ e20 )
        = e21 )
      | ( ( op2 @ e21 @ e20 )
        = e21 )
      | ( ( op2 @ e20 @ e20 )
        = e21 ) )
    & ( ( ( op2 @ e20 @ e23 )
        = e21 )
      | ( ( op2 @ e20 @ e22 )
        = e21 )
      | ( ( op2 @ e20 @ e21 )
        = e21 )
      | ( ( op2 @ e20 @ e20 )
        = e21 ) )
    & ( ( ( op2 @ e23 @ e20 )
        = e20 )
      | ( ( op2 @ e22 @ e20 )
        = e20 )
      | ( ( op2 @ e21 @ e20 )
        = e20 )
      | ( ( op2 @ e20 @ e20 )
        = e20 ) )
    & ( ( ( op2 @ e20 @ e23 )
        = e20 )
      | ( ( op2 @ e20 @ e22 )
        = e20 )
      | ( ( op2 @ e20 @ e21 )
        = e20 )
      | ( ( op2 @ e20 @ e20 )
        = e20 ) ) ) ).

thf(zip_derived_cl71,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e20 )
    | ( ( op2 @ e23 @ e22 )
      = e20 )
    | ( ( op2 @ e23 @ e21 )
      = e20 )
    | ( ( op2 @ e23 @ e20 )
      = e20 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf('115',plain,
    ( ( ( op2 @ e23 @ e23 )
      = e20 )
    | ( ( op2 @ e23 @ e22 )
      = e20 )
    | ( ( op2 @ e23 @ e20 )
      = e20 )
    | ( ( op2 @ e23 @ e21 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl76,plain,
    ( ( ( op2 @ e23 @ e22 )
      = e21 )
    | ( ( op2 @ e22 @ e22 )
      = e21 )
    | ( ( op2 @ e21 @ e22 )
      = e21 )
    | ( ( op2 @ e20 @ e22 )
      = e21 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf('116',plain,
    ( ( ( op2 @ e21 @ e22 )
      = e21 )
    | ( ( op2 @ e22 @ e22 )
      = e21 )
    | ( ( op2 @ e20 @ e22 )
      = e21 )
    | ( ( op2 @ e23 @ e22 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl76]) ).

thf(zip_derived_cl70,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e20 )
    | ( ( op2 @ e22 @ e23 )
      = e20 )
    | ( ( op2 @ e21 @ e23 )
      = e20 )
    | ( ( op2 @ e20 @ e23 )
      = e20 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf('117',plain,
    ( ( ( op2 @ e23 @ e23 )
      = e20 )
    | ( ( op2 @ e21 @ e23 )
      = e20 )
    | ( ( op2 @ e20 @ e23 )
      = e20 )
    | ( ( op2 @ e22 @ e23 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl1511_157,plain,
    ( ( ( op2 @ e22 @ e23 )
      = e23 )
   <= ( ( op2 @ e22 @ e23 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl1510,plain,
    ( ( ( op2 @ e22 @ e23 )
      = e22 )
   <= ( ( op2 @ e22 @ e23 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl24877,plain,
    ( ( e23 = e22 )
   <= ( ( ( op2 @ e22 @ e23 )
        = e22 )
      & ( ( op2 @ e22 @ e23 )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1511,zip_derived_cl1510]) ).

thf(zip_derived_cl198_158,plain,
    e22 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('118',plain,
    ( ( ( op2 @ e22 @ e23 )
     != e22 )
    | ( ( op2 @ e22 @ e23 )
     != e23 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl24877,zip_derived_cl198]) ).

thf(zip_derived_cl1510_159,plain,
    ( ( ( op2 @ e22 @ e23 )
      = e22 )
   <= ( ( op2 @ e22 @ e23 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl1508,plain,
    ( ( ( op2 @ e22 @ e23 )
      = e20 )
   <= ( ( op2 @ e22 @ e23 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl24865,plain,
    ( ( e22 = e20 )
   <= ( ( ( op2 @ e22 @ e23 )
        = e20 )
      & ( ( op2 @ e22 @ e23 )
        = e22 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1510,zip_derived_cl1508]) ).

thf(zip_derived_cl202,plain,
    e20 != e22,
    inference(cnf,[status(esa)],[ax8]) ).

thf('119',plain,
    ( ( ( op2 @ e22 @ e23 )
     != e20 )
    | ( ( op2 @ e22 @ e23 )
     != e22 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl24865,zip_derived_cl202]) ).

thf(zip_derived_cl1543,plain,
    ( ( ( op2 @ e20 @ e23 )
      = e23 )
   <= ( ( op2 @ e20 @ e23 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl1540,plain,
    ( ( ( op2 @ e20 @ e23 )
      = e20 )
   <= ( ( op2 @ e20 @ e23 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl25167,plain,
    ( ( e23 = e20 )
   <= ( ( ( op2 @ e20 @ e23 )
        = e20 )
      & ( ( op2 @ e20 @ e23 )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl1540]) ).

thf(zip_derived_cl201,plain,
    e20 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('120',plain,
    ( ( ( op2 @ e20 @ e23 )
     != e20 )
    | ( ( op2 @ e20 @ e23 )
     != e23 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl25167,zip_derived_cl201]) ).

thf('121',plain,
    ( ( ( op2 @ e20 @ e20 )
      = e20 )
    | ( ( op2 @ e20 @ e20 )
      = e21 )
    | ( ( op2 @ e20 @ e20 )
      = e22 )
    | ( ( op2 @ e20 @ e20 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl1555,plain,
    ( ( ( op2 @ e20 @ e20 )
      = e23 )
   <= ( ( op2 @ e20 @ e20 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl191,plain,
    ( ( op2 @ e20 @ e20 )
   != ( op2 @ e21 @ e20 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl27398_160,plain,
    ( e23
    = ( op2 @ e21 @ e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22552,zip_derived_cl22557]) ).

thf(zip_derived_cl27403,plain,
    ( ( op2 @ e20 @ e20 )
   != e23 ),
    inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl27398]) ).

thf(zip_derived_cl27500,plain,
    ( ( e23 != e23 )
   <= ( ( op2 @ e20 @ e20 )
      = e23 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1555,zip_derived_cl27403]) ).

thf('122',plain,
    ( ( op2 @ e20 @ e20 )
   != e23 ),
    inference(simplify,[status(thm)],[zip_derived_cl27500]) ).

thf(zip_derived_cl91,plain,
    ( ( ( op2 @ e20 @ e23 )
      = e22 )
    | ( ( op2 @ e20 @ e22 )
      = e22 )
    | ( ( op2 @ e20 @ e21 )
      = e22 )
    | ( ( op2 @ e20 @ e20 )
      = e22 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf('123',plain,
    ( ( ( op2 @ e20 @ e23 )
      = e22 )
    | ( ( op2 @ e20 @ e20 )
      = e22 )
    | ( ( op2 @ e20 @ e22 )
      = e22 )
    | ( ( op2 @ e20 @ e21 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl62,plain,
    ( ( ( op2 @ e20 @ e21 )
      = e23 )
    | ( ( op2 @ e20 @ e21 )
      = e22 )
    | ( ( op2 @ e20 @ e21 )
      = e21 )
    | ( ( op2 @ e20 @ e21 )
      = e20 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl1550,plain,
    ( ( ( op2 @ e20 @ e21 )
      = e22 )
   <= ( ( op2 @ e20 @ e21 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl185,plain,
    ( ( op2 @ e20 @ e21 )
   != ( op2 @ e21 @ e21 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl258_161,plain,
    ( e22
    = ( op2 @ e21 @ e21 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl22551,plain,
    ( ( op2 @ e20 @ e21 )
   != e22 ),
    inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl258]) ).

thf(zip_derived_cl26679,plain,
    ( ( e22 != e22 )
   <= ( ( op2 @ e20 @ e21 )
      = e22 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl22551]) ).

thf('124',plain,
    ( ( op2 @ e20 @ e21 )
   != e22 ),
    inference(simplify,[status(thm)],[zip_derived_cl26679]) ).

thf(zip_derived_cl90,plain,
    ( ( ( op2 @ e23 @ e20 )
      = e22 )
    | ( ( op2 @ e22 @ e20 )
      = e22 )
    | ( ( op2 @ e21 @ e20 )
      = e22 )
    | ( ( op2 @ e20 @ e20 )
      = e22 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf('125',plain,
    ( ( ( op2 @ e23 @ e20 )
      = e22 )
    | ( ( op2 @ e22 @ e20 )
      = e22 )
    | ( ( op2 @ e20 @ e20 )
      = e22 )
    | ( ( op2 @ e21 @ e20 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl1504_162,plain,
    ( ( ( op2 @ e23 @ e20 )
      = e20 )
   <= ( ( op2 @ e23 @ e20 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl1721_163,plain,
    ( ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
      = e23 )
   <= ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl237]) ).

thf(zip_derived_cl26682,plain,
    ( ( ( op2 @ e20 @ e20 )
      = e23 )
   <= ( ( ( op2 @ e23 @ e20 )
        = e20 )
      & ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1504,zip_derived_cl1721]) ).

thf(zip_derived_cl27403_164,plain,
    ( ( op2 @ e20 @ e20 )
   != e23 ),
    inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl27398]) ).

thf('126',plain,
    ( ( ( op2 @ e23 @ e20 )
     != e20 )
    | ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
     != e23 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl26682,zip_derived_cl27403]) ).

thf(zip_derived_cl27408_165,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e21 )
   <= ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl27398,zip_derived_cl1724]) ).

thf(zip_derived_cl1301_166,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e11 )
   <= ( ( op1 @ e13 @ e13 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl6891,plain,
    ( ( ( h2 @ ( op1 @ e13 @ e13 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
   <= ( ( h2 @ ( op1 @ e13 @ e13 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl532]) ).

thf(zip_derived_cl27405_167,plain,
    ( ( h2 @ e13 )
    = e23 ),
    inference(demod,[status(thm)],[zip_derived_cl22575,zip_derived_cl27398]) ).

thf(zip_derived_cl27405_168,plain,
    ( ( h2 @ e13 )
    = e23 ),
    inference(demod,[status(thm)],[zip_derived_cl22575,zip_derived_cl27398]) ).

thf(zip_derived_cl34989,plain,
    ( ( ( h2 @ ( op1 @ e13 @ e13 ) )
     != ( op2 @ e23 @ e23 ) )
   <= ( ( h2 @ ( op1 @ e13 @ e13 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6891,zip_derived_cl27405,zip_derived_cl27405]) ).

thf(zip_derived_cl34991,plain,
    ( ( ( h2 @ e11 )
     != ( op2 @ e23 @ e23 ) )
   <= ( ( ( h2 @ ( op1 @ e13 @ e13 ) )
       != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
      & ( ( op1 @ e13 @ e13 )
        = e11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1301,zip_derived_cl34989]) ).

thf(zip_derived_cl267_169,plain,
    ( ( h2 @ e11 )
    = e21 ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl34996,plain,
    ( ( e21
     != ( op2 @ e23 @ e23 ) )
   <= ( ( ( h2 @ ( op1 @ e13 @ e13 ) )
       != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
      & ( ( op1 @ e13 @ e13 )
        = e11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl34991,zip_derived_cl267]) ).

thf(zip_derived_cl35121,plain,
    ( ( e21 != e21 )
   <= ( ( ( h2 @ ( op1 @ e13 @ e13 ) )
       != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
      & ( ( op1 @ e13 @ e13 )
        = e11 )
      & ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
        = e21 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl27408,zip_derived_cl34996]) ).

thf('127',plain,
    ( ( ( h2 @ ( op1 @ e13 @ e13 ) )
      = ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
    | ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
     != e21 )
    | ( ( op1 @ e13 @ e13 )
     != e11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl35121]) ).

thf(zip_derived_cl1497_170,plain,
    ( ( ( op2 @ e23 @ e22 )
      = e21 )
   <= ( ( op2 @ e23 @ e22 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl27408_171,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e21 )
   <= ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl27398,zip_derived_cl1724]) ).

thf(zip_derived_cl144_172,plain,
    ( ( op2 @ e23 @ e22 )
   != ( op2 @ e23 @ e23 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl32178,plain,
    ( ( ( op2 @ e23 @ e22 )
     != e21 )
   <= ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
      = e21 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl27408,zip_derived_cl144]) ).

thf(zip_derived_cl32228,plain,
    ( ( e21 != e21 )
   <= ( ( ( op2 @ e23 @ e22 )
        = e21 )
      & ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
        = e21 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1497,zip_derived_cl32178]) ).

thf('128',plain,
    ( ( ( op2 @ e23 @ e22 )
     != e21 )
    | ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
     != e21 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl32228]) ).

thf(zip_derived_cl27408_173,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e21 )
   <= ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl27398,zip_derived_cl1724]) ).

thf(zip_derived_cl48,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e23 )
    | ( ( op2 @ e23 @ e23 )
      = e22 )
    | ( ( op2 @ e23 @ e23 )
      = e21 )
    | ( ( op2 @ e23 @ e23 )
      = e20 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl1492,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e20 )
   <= ( ( op2 @ e23 @ e23 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl32185,plain,
    ( ( e21 = e20 )
   <= ( ( ( op2 @ e23 @ e23 )
        = e20 )
      & ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
        = e21 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl27408,zip_derived_cl1492]) ).

thf(zip_derived_cl203,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax8]) ).

thf('129',plain,
    ( ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
     != e21 )
    | ( ( op2 @ e23 @ e23 )
     != e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl32185,zip_derived_cl203]) ).

thf(zip_derived_cl1554_174,plain,
    ( ( ( op2 @ e20 @ e20 )
      = e22 )
   <= ( ( op2 @ e20 @ e20 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl240,plain,
    ( ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
      = e20 )
    | ~ zip_tseitin_4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1726,plain,
    ( ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
      = e20 )
   <= ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl240]) ).

thf(zip_derived_cl26732,plain,
    ( ( ( op2 @ e22 @ e22 )
      = e20 )
   <= ( ( ( op2 @ e20 @ e20 )
        = e22 )
      & ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
        = e20 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1554,zip_derived_cl1726]) ).

thf(zip_derived_cl152,plain,
    ( ( op2 @ e22 @ e21 )
   != ( op2 @ e22 @ e22 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl22557_175,plain,
    ( e20
    = ( op2 @ e22 @ e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).

thf(zip_derived_cl22559,plain,
    ( e20
   != ( op2 @ e22 @ e22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl22557]) ).

thf('130',plain,
    ( ( ( op2 @ e20 @ e20 )
     != e22 )
    | ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
     != e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl26732,zip_derived_cl22559]) ).

thf('131',plain,
    ( ( ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) )
      = e23 )
    | ~ zip_tseitin_4 ),
    inference(split,[status(esa)],[zip_derived_cl237]) ).

thf('132',plain,
    ( ( ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) )
      = e20 )
    | ~ zip_tseitin_4 ),
    inference(split,[status(esa)],[zip_derived_cl240]) ).

thf(zip_derived_cl55,plain,
    ( ( ( op2 @ e22 @ e20 )
      = e23 )
    | ( ( op2 @ e22 @ e20 )
      = e22 )
    | ( ( op2 @ e22 @ e20 )
      = e21 )
    | ( ( op2 @ e22 @ e20 )
      = e20 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl1521,plain,
    ( ( ( op2 @ e22 @ e20 )
      = e21 )
   <= ( ( op2 @ e22 @ e20 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl1329,plain,
    ( ( ( op1 @ e12 @ e10 )
      = e11 )
   <= ( ( op1 @ e12 @ e10 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl44,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e11 )
    | ( ( op1 @ e12 @ e10 )
      = e11 )
    | ( ( op1 @ e11 @ e10 )
      = e11 )
    | ( ( op1 @ e10 @ e10 )
      = e11 ) ),
    inference(cnf,[status(esa)],[ax2]) ).

thf('133',plain,
    ( ( ( op1 @ e12 @ e10 )
      = e11 )
    | ( ( op1 @ e10 @ e10 )
      = e11 )
    | ( ( op1 @ e11 @ e10 )
      = e11 )
    | ( ( op1 @ e13 @ e10 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf('134',plain,
    ( ( op1 @ e12 @ e10 )
    = e11 ),
    inference('sat_resolution*',[status(thm)],['26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','22','133']) ).

thf(zip_derived_cl29090,plain,
    ( ( op1 @ e12 @ e10 )
    = e11 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl1329,'134']) ).

thf(zip_derived_cl6884,plain,
    ( ( ( h2 @ ( op1 @ e12 @ e10 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
   <= ( ( h2 @ ( op1 @ e12 @ e10 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl532]) ).

thf(zip_derived_cl22582_176,plain,
    ( ( h2 @ e12 )
    = e22 ),
    inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl258]) ).

thf(zip_derived_cl22587_177,plain,
    ( ( h2 @ e10 )
    = e20 ),
    inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl258,zip_derived_cl22557]) ).

thf(zip_derived_cl34960,plain,
    ( ( ( h2 @ ( op1 @ e12 @ e10 ) )
     != ( op2 @ e22 @ e20 ) )
   <= ( ( h2 @ ( op1 @ e12 @ e10 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6884,zip_derived_cl22582,zip_derived_cl22587]) ).

thf(zip_derived_cl50370,plain,
    ( ( ( h2 @ e11 )
     != ( op2 @ e22 @ e20 ) )
   <= ( ( h2 @ ( op1 @ e12 @ e10 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29090,zip_derived_cl34960]) ).

thf(zip_derived_cl267_178,plain,
    ( ( h2 @ e11 )
    = e21 ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl50397,plain,
    ( ( e21
     != ( op2 @ e22 @ e20 ) )
   <= ( ( h2 @ ( op1 @ e12 @ e10 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl50370,zip_derived_cl267]) ).

thf(zip_derived_cl50416,plain,
    ( ( e21 != e21 )
   <= ( ( ( h2 @ ( op1 @ e12 @ e10 ) )
       != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
      & ( ( op2 @ e22 @ e20 )
        = e21 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1521,zip_derived_cl50397]) ).

thf('135',plain,
    ( ( ( h2 @ ( op1 @ e12 @ e10 ) )
      = ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
    | ( ( op2 @ e22 @ e20 )
     != e21 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl50416]) ).

thf(zip_derived_cl77,plain,
    ( ( ( op2 @ e22 @ e23 )
      = e21 )
    | ( ( op2 @ e22 @ e22 )
      = e21 )
    | ( ( op2 @ e22 @ e21 )
      = e21 )
    | ( ( op2 @ e22 @ e20 )
      = e21 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf('136',plain,
    ( ( ( op2 @ e22 @ e20 )
      = e21 )
    | ( ( op2 @ e22 @ e22 )
      = e21 )
    | ( ( op2 @ e22 @ e21 )
      = e21 )
    | ( ( op2 @ e22 @ e23 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl1510_179,plain,
    ( ( ( op2 @ e22 @ e23 )
      = e22 )
   <= ( ( op2 @ e22 @ e23 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl1318_180,plain,
    ( ( ( op1 @ e12 @ e13 )
      = e12 )
   <= ( ( op1 @ e12 @ e13 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl1326,plain,
    ( ( ( op1 @ e12 @ e11 )
      = e12 )
   <= ( ( op1 @ e12 @ e11 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl22537_181,plain,
    ( e10
    = ( op1 @ e12 @ e11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl255]) ).

thf(zip_derived_cl23081,plain,
    ( ( e10 = e12 )
   <= ( ( op1 @ e12 @ e11 )
      = e12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1326,zip_derived_cl22537]) ).

thf(zip_derived_cl196_182,plain,
    e10 != e12,
    inference(cnf,[status(esa)],[ax7]) ).

thf('137',plain,
    ( ( op1 @ e12 @ e11 )
   != e12 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl23081,zip_derived_cl196]) ).

thf(zip_derived_cl27,plain,
    ( ( ( op1 @ e12 @ e13 )
      = e12 )
    | ( ( op1 @ e12 @ e12 )
      = e12 )
    | ( ( op1 @ e12 @ e11 )
      = e12 )
    | ( ( op1 @ e12 @ e10 )
      = e12 ) ),
    inference(cnf,[status(esa)],[ax2]) ).

thf('138',plain,
    ( ( ( op1 @ e12 @ e13 )
      = e12 )
    | ( ( op1 @ e12 @ e10 )
      = e12 )
    | ( ( op1 @ e12 @ e11 )
      = e12 )
    | ( ( op1 @ e12 @ e12 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf('139',plain,
    ( ( op1 @ e12 @ e13 )
    = e12 ),
    inference('sat_resolution*',[status(thm)],['25','101','108','104','137','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','107','106','138']) ).

thf(zip_derived_cl29088,plain,
    ( ( op1 @ e12 @ e13 )
    = e12 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl1318,'139']) ).

thf(zip_derived_cl6887,plain,
    ( ( ( h2 @ ( op1 @ e12 @ e13 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
   <= ( ( h2 @ ( op1 @ e12 @ e13 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl532]) ).

thf(zip_derived_cl22582_183,plain,
    ( ( h2 @ e12 )
    = e22 ),
    inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl258]) ).

thf(zip_derived_cl27405_184,plain,
    ( ( h2 @ e13 )
    = e23 ),
    inference(demod,[status(thm)],[zip_derived_cl22575,zip_derived_cl27398]) ).

thf(zip_derived_cl34974,plain,
    ( ( ( h2 @ ( op1 @ e12 @ e13 ) )
     != ( op2 @ e22 @ e23 ) )
   <= ( ( h2 @ ( op1 @ e12 @ e13 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6887,zip_derived_cl22582,zip_derived_cl27405]) ).

thf(zip_derived_cl50224,plain,
    ( ( ( h2 @ e12 )
     != ( op2 @ e22 @ e23 ) )
   <= ( ( h2 @ ( op1 @ e12 @ e13 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29088,zip_derived_cl34974]) ).

thf(zip_derived_cl22582_185,plain,
    ( ( h2 @ e12 )
    = e22 ),
    inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl258]) ).

thf(zip_derived_cl50254,plain,
    ( ( e22
     != ( op2 @ e22 @ e23 ) )
   <= ( ( h2 @ ( op1 @ e12 @ e13 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl50224,zip_derived_cl22582]) ).

thf(zip_derived_cl50325,plain,
    ( ( e22 != e22 )
   <= ( ( ( h2 @ ( op1 @ e12 @ e13 ) )
       != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
      & ( ( op2 @ e22 @ e23 )
        = e22 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1510,zip_derived_cl50254]) ).

thf('140',plain,
    ( ( ( h2 @ ( op1 @ e12 @ e13 ) )
      = ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
    | ( ( op2 @ e22 @ e23 )
     != e22 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl50325]) ).

thf(zip_derived_cl1522,plain,
    ( ( ( op2 @ e22 @ e20 )
      = e22 )
   <= ( ( op2 @ e22 @ e20 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl1510_186,plain,
    ( ( ( op2 @ e22 @ e23 )
      = e22 )
   <= ( ( op2 @ e22 @ e23 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl153,plain,
    ( ( op2 @ e22 @ e20 )
   != ( op2 @ e22 @ e23 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl24862,plain,
    ( ( ( op2 @ e22 @ e20 )
     != e22 )
   <= ( ( op2 @ e22 @ e23 )
      = e22 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1510,zip_derived_cl153]) ).

thf(zip_derived_cl27270,plain,
    ( ( e22 != e22 )
   <= ( ( ( op2 @ e22 @ e23 )
        = e22 )
      & ( ( op2 @ e22 @ e20 )
        = e22 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl24862]) ).

thf('141',plain,
    ( ( ( op2 @ e22 @ e20 )
     != e22 )
    | ( ( op2 @ e22 @ e23 )
     != e22 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27270]) ).

thf(zip_derived_cl1510_187,plain,
    ( ( ( op2 @ e22 @ e23 )
      = e22 )
   <= ( ( op2 @ e22 @ e23 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl53,plain,
    ( ( ( op2 @ e22 @ e22 )
      = e23 )
    | ( ( op2 @ e22 @ e22 )
      = e22 )
    | ( ( op2 @ e22 @ e22 )
      = e21 )
    | ( ( op2 @ e22 @ e22 )
      = e20 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl1515,plain,
    ( ( ( op2 @ e22 @ e22 )
      = e23 )
   <= ( ( op2 @ e22 @ e22 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl246,plain,
    ( ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
      = e22 )
    | ~ zip_tseitin_6 ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl1738,plain,
    ( ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
      = e22 )
   <= ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl246]) ).

thf(zip_derived_cl26873,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e22 )
   <= ( ( ( op2 @ e22 @ e22 )
        = e23 )
      & ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
        = e22 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1515,zip_derived_cl1738]) ).

thf(zip_derived_cl168,plain,
    ( ( op2 @ e22 @ e23 )
   != ( op2 @ e23 @ e23 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl29657,plain,
    ( ( ( op2 @ e22 @ e23 )
     != e22 )
   <= ( ( ( op2 @ e22 @ e22 )
        = e23 )
      & ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
        = e22 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26873,zip_derived_cl168]) ).

thf(zip_derived_cl29705,plain,
    ( ( e22 != e22 )
   <= ( ( ( op2 @ e22 @ e23 )
        = e22 )
      & ( ( op2 @ e22 @ e22 )
        = e23 )
      & ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
        = e22 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1510,zip_derived_cl29657]) ).

thf('142',plain,
    ( ( ( op2 @ e22 @ e23 )
     != e22 )
    | ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
     != e22 )
    | ( ( op2 @ e22 @ e22 )
     != e23 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl29705]) ).

thf(zip_derived_cl1510_188,plain,
    ( ( ( op2 @ e22 @ e23 )
      = e22 )
   <= ( ( op2 @ e22 @ e23 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl1509,plain,
    ( ( ( op2 @ e22 @ e23 )
      = e21 )
   <= ( ( op2 @ e22 @ e23 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl24866,plain,
    ( ( e22 = e21 )
   <= ( ( ( op2 @ e22 @ e23 )
        = e21 )
      & ( ( op2 @ e22 @ e23 )
        = e22 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1510,zip_derived_cl1509]) ).

thf(zip_derived_cl200,plain,
    e21 != e22,
    inference(cnf,[status(esa)],[ax8]) ).

thf('143',plain,
    ( ( ( op2 @ e22 @ e23 )
     != e21 )
    | ( ( op2 @ e22 @ e23 )
     != e22 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl24866,zip_derived_cl200]) ).

thf(zip_derived_cl1549,plain,
    ( ( ( op2 @ e20 @ e21 )
      = e21 )
   <= ( ( op2 @ e20 @ e21 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl1357_189,plain,
    ( ( ( op1 @ e10 @ e11 )
      = e11 )
   <= ( ( op1 @ e10 @ e11 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl6877,plain,
    ( ( ( h2 @ ( op1 @ e10 @ e11 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
   <= ( ( h2 @ ( op1 @ e10 @ e11 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl532]) ).

thf(zip_derived_cl22587_190,plain,
    ( ( h2 @ e10 )
    = e20 ),
    inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl258,zip_derived_cl22557]) ).

thf(zip_derived_cl267_191,plain,
    ( ( h2 @ e11 )
    = e21 ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl34929,plain,
    ( ( ( h2 @ ( op1 @ e10 @ e11 ) )
     != ( op2 @ e20 @ e21 ) )
   <= ( ( h2 @ ( op1 @ e10 @ e11 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6877,zip_derived_cl22587,zip_derived_cl267]) ).

thf(zip_derived_cl34930,plain,
    ( ( ( h2 @ e11 )
     != ( op2 @ e20 @ e21 ) )
   <= ( ( ( h2 @ ( op1 @ e10 @ e11 ) )
       != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
      & ( ( op1 @ e10 @ e11 )
        = e11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1357,zip_derived_cl34929]) ).

thf(zip_derived_cl267_192,plain,
    ( ( h2 @ e11 )
    = e21 ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl34932,plain,
    ( ( e21
     != ( op2 @ e20 @ e21 ) )
   <= ( ( ( h2 @ ( op1 @ e10 @ e11 ) )
       != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
      & ( ( op1 @ e10 @ e11 )
        = e11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl34930,zip_derived_cl267]) ).

thf(zip_derived_cl34940,plain,
    ( ( e21 != e21 )
   <= ( ( ( h2 @ ( op1 @ e10 @ e11 ) )
       != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
      & ( ( op1 @ e10 @ e11 )
        = e11 )
      & ( ( op2 @ e20 @ e21 )
        = e21 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl34932]) ).

thf('144',plain,
    ( ( ( h2 @ ( op1 @ e10 @ e11 ) )
      = ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
    | ( ( op2 @ e20 @ e21 )
     != e21 )
    | ( ( op1 @ e10 @ e11 )
     != e11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl34940]) ).

thf(zip_derived_cl222,plain,
    ( ( ( op1 @ ( op1 @ e11 @ e10 ) @ ( op1 @ e11 @ e10 ) )
      = e11 )
    | ~ zip_tseitin_0 ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl1688,plain,
    ( ( ( op1 @ ( op1 @ e11 @ e10 ) @ ( op1 @ e11 @ e10 ) )
      = e11 )
   <= ( ( op1 @ ( op1 @ e11 @ e10 ) @ ( op1 @ e11 @ e10 ) )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl222]) ).

thf(zip_derived_cl27029_193,plain,
    ( e13
    = ( op1 @ e11 @ e10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22534,zip_derived_cl22537]) ).

thf(zip_derived_cl27029_194,plain,
    ( e13
    = ( op1 @ e11 @ e10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22534,zip_derived_cl22537]) ).

thf(zip_derived_cl29095,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e11 )
   <= ( ( op1 @ ( op1 @ e11 @ e10 ) @ ( op1 @ e11 @ e10 ) )
      = e11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1688,zip_derived_cl27029,zip_derived_cl27029]) ).

thf('145',plain,
    ( ( ( op1 @ ( op1 @ e11 @ e10 ) @ ( op1 @ e11 @ e10 ) )
      = e11 )
    | ~ zip_tseitin_0 ),
    inference(split,[status(esa)],[zip_derived_cl222]) ).

thf('146',plain,
    ( ( op1 @ ( op1 @ e11 @ e10 ) @ ( op1 @ e11 @ e10 ) )
    = e11 ),
    inference('sat_resolution*',[status(thm)],['26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','145']) ).

thf(zip_derived_cl29096,plain,
    ( ( op1 @ e13 @ e13 )
    = e11 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl29095,'146']) ).

thf(zip_derived_cl1300_195,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e10 )
   <= ( ( op1 @ e13 @ e13 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl50623,plain,
    ( ( e11 = e10 )
   <= ( ( op1 @ e13 @ e13 )
      = e10 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl29096,zip_derived_cl1300]) ).

thf(zip_derived_cl197_196,plain,
    e10 != e11,
    inference(cnf,[status(esa)],[ax7]) ).

thf('147',plain,
    ( ( op1 @ e13 @ e13 )
   != e10 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl50623,zip_derived_cl197]) ).

thf(zip_derived_cl1311_197,plain,
    ( ( ( op1 @ e13 @ e11 )
      = e13 )
   <= ( ( op1 @ e13 @ e11 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl1309_198,plain,
    ( ( ( op1 @ e13 @ e11 )
      = e11 )
   <= ( ( op1 @ e13 @ e11 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl22841,plain,
    ( ( e13 = e11 )
   <= ( ( ( op1 @ e13 @ e11 )
        = e11 )
      & ( ( op1 @ e13 @ e11 )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1311,zip_derived_cl1309]) ).

thf(zip_derived_cl193_199,plain,
    e11 != e13,
    inference(cnf,[status(esa)],[ax7]) ).

thf('148',plain,
    ( ( ( op1 @ e13 @ e11 )
     != e11 )
    | ( ( op1 @ e13 @ e11 )
     != e13 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl22841,zip_derived_cl193]) ).

thf(zip_derived_cl1314_200,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e12 )
   <= ( ( op1 @ e13 @ e10 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl1313_201,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e11 )
   <= ( ( op1 @ e13 @ e10 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl22894,plain,
    ( ( e12 = e11 )
   <= ( ( ( op1 @ e13 @ e10 )
        = e11 )
      & ( ( op1 @ e13 @ e10 )
        = e12 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1314,zip_derived_cl1313]) ).

thf(zip_derived_cl194_202,plain,
    e11 != e12,
    inference(cnf,[status(esa)],[ax7]) ).

thf('149',plain,
    ( ( ( op1 @ e13 @ e10 )
     != e11 )
    | ( ( op1 @ e13 @ e10 )
     != e12 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl22894,zip_derived_cl194]) ).

thf(zip_derived_cl1315_203,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e13 )
   <= ( ( op1 @ e13 @ e10 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl1314_204,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e12 )
   <= ( ( op1 @ e13 @ e10 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl22914,plain,
    ( ( e13 = e12 )
   <= ( ( ( op1 @ e13 @ e10 )
        = e12 )
      & ( ( op1 @ e13 @ e10 )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1315,zip_derived_cl1314]) ).

thf(zip_derived_cl192_205,plain,
    e12 != e13,
    inference(cnf,[status(esa)],[ax7]) ).

thf('150',plain,
    ( ( ( op1 @ e13 @ e10 )
     != e13 )
    | ( ( op1 @ e13 @ e10 )
     != e12 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl22914,zip_derived_cl192]) ).

thf(zip_derived_cl1311_206,plain,
    ( ( ( op1 @ e13 @ e11 )
      = e13 )
   <= ( ( op1 @ e13 @ e11 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl1310_207,plain,
    ( ( ( op1 @ e13 @ e11 )
      = e12 )
   <= ( ( op1 @ e13 @ e11 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl22842,plain,
    ( ( e13 = e12 )
   <= ( ( ( op1 @ e13 @ e11 )
        = e12 )
      & ( ( op1 @ e13 @ e11 )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1311,zip_derived_cl1310]) ).

thf(zip_derived_cl192_208,plain,
    e12 != e13,
    inference(cnf,[status(esa)],[ax7]) ).

thf('151',plain,
    ( ( ( op1 @ e13 @ e11 )
     != e12 )
    | ( ( op1 @ e13 @ e11 )
     != e13 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl22842,zip_derived_cl192]) ).

thf(zip_derived_cl1310_209,plain,
    ( ( ( op1 @ e13 @ e11 )
      = e12 )
   <= ( ( op1 @ e13 @ e11 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl1309_210,plain,
    ( ( ( op1 @ e13 @ e11 )
      = e11 )
   <= ( ( op1 @ e13 @ e11 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl22824,plain,
    ( ( e12 = e11 )
   <= ( ( ( op1 @ e13 @ e11 )
        = e11 )
      & ( ( op1 @ e13 @ e11 )
        = e12 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1310,zip_derived_cl1309]) ).

thf(zip_derived_cl194_211,plain,
    e11 != e12,
    inference(cnf,[status(esa)],[ax7]) ).

thf('152',plain,
    ( ( ( op1 @ e13 @ e11 )
     != e12 )
    | ( ( op1 @ e13 @ e11 )
     != e11 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl22824,zip_derived_cl194]) ).

thf(zip_derived_cl1315_212,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e13 )
   <= ( ( op1 @ e13 @ e10 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl1313_213,plain,
    ( ( ( op1 @ e13 @ e10 )
      = e11 )
   <= ( ( op1 @ e13 @ e10 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl22913,plain,
    ( ( e13 = e11 )
   <= ( ( ( op1 @ e13 @ e10 )
        = e11 )
      & ( ( op1 @ e13 @ e10 )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1315,zip_derived_cl1313]) ).

thf(zip_derived_cl193_214,plain,
    e11 != e13,
    inference(cnf,[status(esa)],[ax7]) ).

thf('153',plain,
    ( ( ( op1 @ e13 @ e10 )
     != e13 )
    | ( ( op1 @ e13 @ e10 )
     != e11 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl22913,zip_derived_cl193]) ).

thf(zip_derived_cl1306_215,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e12 )
   <= ( ( op1 @ e13 @ e12 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl1304_216,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e10 )
   <= ( ( op1 @ e13 @ e12 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl22760,plain,
    ( ( e12 = e10 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e10 )
      & ( ( op1 @ e13 @ e12 )
        = e12 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1306,zip_derived_cl1304]) ).

thf(zip_derived_cl196_217,plain,
    e10 != e12,
    inference(cnf,[status(esa)],[ax7]) ).

thf('154',plain,
    ( ( ( op1 @ e13 @ e12 )
     != e12 )
    | ( ( op1 @ e13 @ e12 )
     != e10 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl22760,zip_derived_cl196]) ).

thf(zip_derived_cl1305_218,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e11 )
   <= ( ( op1 @ e13 @ e12 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl1304_219,plain,
    ( ( ( op1 @ e13 @ e12 )
      = e10 )
   <= ( ( op1 @ e13 @ e12 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl22742,plain,
    ( ( e11 = e10 )
   <= ( ( ( op1 @ e13 @ e12 )
        = e10 )
      & ( ( op1 @ e13 @ e12 )
        = e11 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1305,zip_derived_cl1304]) ).

thf(zip_derived_cl197_220,plain,
    e10 != e11,
    inference(cnf,[status(esa)],[ax7]) ).

thf('155',plain,
    ( ( ( op1 @ e13 @ e12 )
     != e11 )
    | ( ( op1 @ e13 @ e12 )
     != e10 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl22742,zip_derived_cl197]) ).

thf(zip_derived_cl1309_221,plain,
    ( ( ( op1 @ e13 @ e11 )
      = e11 )
   <= ( ( op1 @ e13 @ e11 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl1301_222,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e11 )
   <= ( ( op1 @ e13 @ e13 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl97_223,plain,
    ( ( op1 @ e13 @ e11 )
   != ( op1 @ e13 @ e13 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl22667,plain,
    ( ( ( op1 @ e13 @ e11 )
     != e11 )
   <= ( ( op1 @ e13 @ e13 )
      = e11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1301,zip_derived_cl97]) ).

thf(zip_derived_cl25785,plain,
    ( ( e11 != e11 )
   <= ( ( ( op1 @ e13 @ e13 )
        = e11 )
      & ( ( op1 @ e13 @ e11 )
        = e11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1309,zip_derived_cl22667]) ).

thf('156',plain,
    ( ( ( op1 @ e13 @ e11 )
     != e11 )
    | ( ( op1 @ e13 @ e13 )
     != e11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl25785]) ).

thf(zip_derived_cl1553,plain,
    ( ( ( op2 @ e20 @ e20 )
      = e21 )
   <= ( ( op2 @ e20 @ e20 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl1549_224,plain,
    ( ( ( op2 @ e20 @ e21 )
      = e21 )
   <= ( ( op2 @ e20 @ e21 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl167,plain,
    ( ( op2 @ e20 @ e20 )
   != ( op2 @ e20 @ e21 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl25214,plain,
    ( ( ( op2 @ e20 @ e20 )
     != e21 )
   <= ( ( op2 @ e20 @ e21 )
      = e21 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl167]) ).

thf(zip_derived_cl27580,plain,
    ( ( e21 != e21 )
   <= ( ( ( op2 @ e20 @ e21 )
        = e21 )
      & ( ( op2 @ e20 @ e20 )
        = e21 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl25214]) ).

thf('157',plain,
    ( ( ( op2 @ e20 @ e20 )
     != e21 )
    | ( ( op2 @ e20 @ e21 )
     != e21 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27580]) ).

thf(zip_derived_cl1549_225,plain,
    ( ( ( op2 @ e20 @ e21 )
      = e21 )
   <= ( ( op2 @ e20 @ e21 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl1545,plain,
    ( ( ( op2 @ e20 @ e22 )
      = e21 )
   <= ( ( op2 @ e20 @ e22 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl164,plain,
    ( ( op2 @ e20 @ e21 )
   != ( op2 @ e20 @ e22 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl25179,plain,
    ( ( ( op2 @ e20 @ e21 )
     != e21 )
   <= ( ( op2 @ e20 @ e22 )
      = e21 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl164]) ).

thf(zip_derived_cl27550,plain,
    ( ( e21 != e21 )
   <= ( ( ( op2 @ e20 @ e22 )
        = e21 )
      & ( ( op2 @ e20 @ e21 )
        = e21 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl25179]) ).

thf('158',plain,
    ( ( ( op2 @ e20 @ e22 )
     != e21 )
    | ( ( op2 @ e20 @ e21 )
     != e21 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27550]) ).

thf(zip_derived_cl1546_226,plain,
    ( ( ( op2 @ e20 @ e22 )
      = e22 )
   <= ( ( op2 @ e20 @ e22 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl1742_227,plain,
    ( ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
      = e20 )
   <= ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl248]) ).

thf(zip_derived_cl26914,plain,
    ( ( ( op2 @ e22 @ e22 )
      = e20 )
   <= ( ( ( op2 @ e20 @ e22 )
        = e22 )
      & ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
        = e20 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl1742]) ).

thf(zip_derived_cl22559_228,plain,
    ( e20
   != ( op2 @ e22 @ e22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl22557]) ).

thf('159',plain,
    ( ( ( op2 @ e20 @ e22 )
     != e22 )
    | ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
     != e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl26914,zip_derived_cl22559]) ).

thf(zip_derived_cl74,plain,
    ( ( ( op2 @ e23 @ e22 )
      = e22 )
    | ( ( op2 @ e22 @ e22 )
      = e22 )
    | ( ( op2 @ e21 @ e22 )
      = e22 )
    | ( ( op2 @ e20 @ e22 )
      = e22 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf('160',plain,
    ( ( ( op2 @ e22 @ e22 )
      = e22 )
    | ( ( op2 @ e23 @ e22 )
      = e22 )
    | ( ( op2 @ e20 @ e22 )
      = e22 )
    | ( ( op2 @ e21 @ e22 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl1539_229,plain,
    ( ( ( op2 @ e21 @ e20 )
      = e23 )
   <= ( ( op2 @ e21 @ e20 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl1537,plain,
    ( ( ( op2 @ e21 @ e20 )
      = e21 )
   <= ( ( op2 @ e21 @ e20 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl25129,plain,
    ( ( e23 = e21 )
   <= ( ( ( op2 @ e21 @ e20 )
        = e21 )
      & ( ( op2 @ e21 @ e20 )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl1537]) ).

thf(zip_derived_cl199,plain,
    e21 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('161',plain,
    ( ( ( op2 @ e21 @ e20 )
     != e21 )
    | ( ( op2 @ e21 @ e20 )
     != e23 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl25129,zip_derived_cl199]) ).

thf(zip_derived_cl81,plain,
    ( ( ( op2 @ e21 @ e23 )
      = e23 )
    | ( ( op2 @ e21 @ e22 )
      = e23 )
    | ( ( op2 @ e21 @ e21 )
      = e23 )
    | ( ( op2 @ e21 @ e20 )
      = e23 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf('162',plain,
    ( ( ( op2 @ e21 @ e20 )
      = e23 )
    | ( ( op2 @ e21 @ e22 )
      = e23 )
    | ( ( op2 @ e21 @ e21 )
      = e23 )
    | ( ( op2 @ e21 @ e23 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl1531,plain,
    ( ( ( op2 @ e21 @ e22 )
      = e23 )
   <= ( ( op2 @ e21 @ e22 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl1530,plain,
    ( ( ( op2 @ e21 @ e22 )
      = e22 )
   <= ( ( op2 @ e21 @ e22 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl25065,plain,
    ( ( e23 = e22 )
   <= ( ( ( op2 @ e21 @ e22 )
        = e22 )
      & ( ( op2 @ e21 @ e22 )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl1530]) ).

thf(zip_derived_cl198_230,plain,
    e22 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('163',plain,
    ( ( ( op2 @ e21 @ e22 )
     != e22 )
    | ( ( op2 @ e21 @ e22 )
     != e23 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl25065,zip_derived_cl198]) ).

thf(zip_derived_cl1539_231,plain,
    ( ( ( op2 @ e21 @ e20 )
      = e23 )
   <= ( ( op2 @ e21 @ e20 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl1536,plain,
    ( ( ( op2 @ e21 @ e20 )
      = e20 )
   <= ( ( op2 @ e21 @ e20 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl25128,plain,
    ( ( e23 = e20 )
   <= ( ( ( op2 @ e21 @ e20 )
        = e20 )
      & ( ( op2 @ e21 @ e20 )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl1536]) ).

thf(zip_derived_cl201_232,plain,
    e20 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('164',plain,
    ( ( ( op2 @ e21 @ e20 )
     != e20 )
    | ( ( op2 @ e21 @ e20 )
     != e23 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl25128,zip_derived_cl201]) ).

thf(zip_derived_cl1527,plain,
    ( ( ( op2 @ e21 @ e23 )
      = e23 )
   <= ( ( op2 @ e21 @ e23 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl1525,plain,
    ( ( ( op2 @ e21 @ e23 )
      = e21 )
   <= ( ( op2 @ e21 @ e23 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl25028,plain,
    ( ( e23 = e21 )
   <= ( ( ( op2 @ e21 @ e23 )
        = e21 )
      & ( ( op2 @ e21 @ e23 )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl1525]) ).

thf(zip_derived_cl199_233,plain,
    e21 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('165',plain,
    ( ( ( op2 @ e21 @ e23 )
     != e23 )
    | ( ( op2 @ e21 @ e23 )
     != e21 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl25028,zip_derived_cl199]) ).

thf(zip_derived_cl1527_234,plain,
    ( ( ( op2 @ e21 @ e23 )
      = e23 )
   <= ( ( op2 @ e21 @ e23 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl1524_235,plain,
    ( ( ( op2 @ e21 @ e23 )
      = e20 )
   <= ( ( op2 @ e21 @ e23 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl25027,plain,
    ( ( e23 = e20 )
   <= ( ( ( op2 @ e21 @ e23 )
        = e20 )
      & ( ( op2 @ e21 @ e23 )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl1524]) ).

thf(zip_derived_cl201_236,plain,
    e20 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('166',plain,
    ( ( ( op2 @ e21 @ e23 )
     != e23 )
    | ( ( op2 @ e21 @ e23 )
     != e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl25027,zip_derived_cl201]) ).

thf(zip_derived_cl85,plain,
    ( ( ( op2 @ e21 @ e23 )
      = e21 )
    | ( ( op2 @ e21 @ e22 )
      = e21 )
    | ( ( op2 @ e21 @ e21 )
      = e21 )
    | ( ( op2 @ e21 @ e20 )
      = e21 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf('167',plain,
    ( ( ( op2 @ e21 @ e22 )
      = e21 )
    | ( ( op2 @ e21 @ e23 )
      = e21 )
    | ( ( op2 @ e21 @ e21 )
      = e21 )
    | ( ( op2 @ e21 @ e20 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl87,plain,
    ( ( ( op2 @ e21 @ e23 )
      = e20 )
    | ( ( op2 @ e21 @ e22 )
      = e20 )
    | ( ( op2 @ e21 @ e21 )
      = e20 )
    | ( ( op2 @ e21 @ e20 )
      = e20 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf('168',plain,
    ( ( ( op2 @ e21 @ e22 )
      = e20 )
    | ( ( op2 @ e21 @ e23 )
      = e20 )
    | ( ( op2 @ e21 @ e21 )
      = e20 )
    | ( ( op2 @ e21 @ e20 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl58,plain,
    ( ( ( op2 @ e21 @ e21 )
      = e23 )
    | ( ( op2 @ e21 @ e21 )
      = e22 )
    | ( ( op2 @ e21 @ e21 )
      = e21 )
    | ( ( op2 @ e21 @ e21 )
      = e20 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl1532,plain,
    ( ( ( op2 @ e21 @ e21 )
      = e20 )
   <= ( ( op2 @ e21 @ e21 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl258_237,plain,
    ( e22
    = ( op2 @ e21 @ e21 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl25073,plain,
    ( ( e22 = e20 )
   <= ( ( op2 @ e21 @ e21 )
      = e20 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl258]) ).

thf(zip_derived_cl202_238,plain,
    e20 != e22,
    inference(cnf,[status(esa)],[ax8]) ).

thf('169',plain,
    ( ( op2 @ e21 @ e21 )
   != e20 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl25073,zip_derived_cl202]) ).

thf(zip_derived_cl1530_239,plain,
    ( ( ( op2 @ e21 @ e22 )
      = e22 )
   <= ( ( op2 @ e21 @ e22 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl1529_240,plain,
    ( ( ( op2 @ e21 @ e22 )
      = e21 )
   <= ( ( op2 @ e21 @ e22 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl25055,plain,
    ( ( e22 = e21 )
   <= ( ( ( op2 @ e21 @ e22 )
        = e21 )
      & ( ( op2 @ e21 @ e22 )
        = e22 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl1529]) ).

thf(zip_derived_cl200_241,plain,
    e21 != e22,
    inference(cnf,[status(esa)],[ax8]) ).

thf('170',plain,
    ( ( ( op2 @ e21 @ e22 )
     != e22 )
    | ( ( op2 @ e21 @ e22 )
     != e21 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl25055,zip_derived_cl200]) ).

thf(zip_derived_cl1530_242,plain,
    ( ( ( op2 @ e21 @ e22 )
      = e22 )
   <= ( ( op2 @ e21 @ e22 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl1528,plain,
    ( ( ( op2 @ e21 @ e22 )
      = e20 )
   <= ( ( op2 @ e21 @ e22 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl25054,plain,
    ( ( e22 = e20 )
   <= ( ( ( op2 @ e21 @ e22 )
        = e20 )
      & ( ( op2 @ e21 @ e22 )
        = e22 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl1528]) ).

thf(zip_derived_cl202_243,plain,
    e20 != e22,
    inference(cnf,[status(esa)],[ax8]) ).

thf('171',plain,
    ( ( ( op2 @ e21 @ e22 )
     != e22 )
    | ( ( op2 @ e21 @ e22 )
     != e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl25054,zip_derived_cl202]) ).

thf(zip_derived_cl1537_244,plain,
    ( ( ( op2 @ e21 @ e20 )
      = e21 )
   <= ( ( op2 @ e21 @ e20 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl1536_245,plain,
    ( ( ( op2 @ e21 @ e20 )
      = e20 )
   <= ( ( op2 @ e21 @ e20 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl25108,plain,
    ( ( e21 = e20 )
   <= ( ( ( op2 @ e21 @ e20 )
        = e20 )
      & ( ( op2 @ e21 @ e20 )
        = e21 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl1536]) ).

thf(zip_derived_cl203_246,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax8]) ).

thf('172',plain,
    ( ( ( op2 @ e21 @ e20 )
     != e20 )
    | ( ( op2 @ e21 @ e20 )
     != e21 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl25108,zip_derived_cl203]) ).

thf(zip_derived_cl1525_247,plain,
    ( ( ( op2 @ e21 @ e23 )
      = e21 )
   <= ( ( op2 @ e21 @ e23 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl1524_248,plain,
    ( ( ( op2 @ e21 @ e23 )
      = e20 )
   <= ( ( op2 @ e21 @ e23 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl25004,plain,
    ( ( e21 = e20 )
   <= ( ( ( op2 @ e21 @ e23 )
        = e20 )
      & ( ( op2 @ e21 @ e23 )
        = e21 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl1524]) ).

thf(zip_derived_cl203_249,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax8]) ).

thf('173',plain,
    ( ( ( op2 @ e21 @ e23 )
     != e20 )
    | ( ( op2 @ e21 @ e23 )
     != e21 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl25004,zip_derived_cl203]) ).

thf(zip_derived_cl1543_250,plain,
    ( ( ( op2 @ e20 @ e23 )
      = e23 )
   <= ( ( op2 @ e20 @ e23 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zf_stmt_13,axiom,
    ( zip_tseitin_7
   => ( ( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
        = e23 )
      & ( ( op2 @ ( op2 @ e22 @ e23 ) @ ( op2 @ e22 @ e23 ) )
        = e22 )
      & ( ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) )
        = e21 )
      & ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
        = e20 ) ) ) ).

thf(zip_derived_cl252,plain,
    ( ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
      = e20 )
    | ~ zip_tseitin_7 ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf(zip_derived_cl1750,plain,
    ( ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
      = e20 )
   <= ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl252]) ).

thf(zip_derived_cl27009,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e20 )
   <= ( ( ( op2 @ e20 @ e23 )
        = e23 )
      & ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
        = e20 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl1750]) ).

thf(zip_derived_cl1494,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e22 )
   <= ( ( op2 @ e23 @ e23 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl30347,plain,
    ( ( e20 = e22 )
   <= ( ( ( op2 @ e23 @ e23 )
        = e22 )
      & ( ( op2 @ e20 @ e23 )
        = e23 )
      & ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
        = e20 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl27009,zip_derived_cl1494]) ).

thf(zip_derived_cl202_251,plain,
    e20 != e22,
    inference(cnf,[status(esa)],[ax8]) ).

thf('174',plain,
    ( ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
     != e20 )
    | ( ( op2 @ e23 @ e23 )
     != e22 )
    | ( ( op2 @ e20 @ e23 )
     != e23 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl30347,zip_derived_cl202]) ).

thf(zip_derived_cl1515_252,plain,
    ( ( ( op2 @ e22 @ e22 )
      = e23 )
   <= ( ( op2 @ e22 @ e22 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl1514,plain,
    ( ( ( op2 @ e22 @ e22 )
      = e22 )
   <= ( ( op2 @ e22 @ e22 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl24928,plain,
    ( ( e23 = e22 )
   <= ( ( ( op2 @ e22 @ e22 )
        = e22 )
      & ( ( op2 @ e22 @ e22 )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1515,zip_derived_cl1514]) ).

thf(zip_derived_cl198_253,plain,
    e22 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('175',plain,
    ( ( ( op2 @ e22 @ e22 )
     != e22 )
    | ( ( op2 @ e22 @ e22 )
     != e23 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl24928,zip_derived_cl198]) ).

thf(zip_derived_cl26915_254,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e20 )
   <= ( ( ( op2 @ e20 @ e22 )
        = e23 )
      & ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
        = e20 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl1742]) ).

thf(zip_derived_cl1494_255,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e22 )
   <= ( ( op2 @ e23 @ e23 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl29919,plain,
    ( ( e20 = e22 )
   <= ( ( ( op2 @ e23 @ e23 )
        = e22 )
      & ( ( op2 @ e20 @ e22 )
        = e23 )
      & ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
        = e20 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl26915,zip_derived_cl1494]) ).

thf(zip_derived_cl202_256,plain,
    e20 != e22,
    inference(cnf,[status(esa)],[ax8]) ).

thf('176',plain,
    ( ( ( op2 @ e23 @ e23 )
     != e22 )
    | ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
     != e20 )
    | ( ( op2 @ e20 @ e22 )
     != e23 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl29919,zip_derived_cl202]) ).

thf(zip_derived_cl72,plain,
    ( ( ( op2 @ e23 @ e22 )
      = e23 )
    | ( ( op2 @ e22 @ e22 )
      = e23 )
    | ( ( op2 @ e21 @ e22 )
      = e23 )
    | ( ( op2 @ e20 @ e22 )
      = e23 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf('177',plain,
    ( ( ( op2 @ e23 @ e22 )
      = e23 )
    | ( ( op2 @ e20 @ e22 )
      = e23 )
    | ( ( op2 @ e22 @ e22 )
      = e23 )
    | ( ( op2 @ e21 @ e22 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl1503,plain,
    ( ( ( op2 @ e23 @ e21 )
      = e23 )
   <= ( ( op2 @ e23 @ e21 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl241,plain,
    ( ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
      = e23 )
    | ~ zip_tseitin_5 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1729,plain,
    ( ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
      = e23 )
   <= ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl241]) ).

thf(zip_derived_cl26749,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e23 )
   <= ( ( ( op2 @ e23 @ e21 )
        = e23 )
      & ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1503,zip_derived_cl1729]) ).

thf(zip_derived_cl145_257,plain,
    ( ( op2 @ e23 @ e21 )
   != ( op2 @ e23 @ e23 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl29396,plain,
    ( ( ( op2 @ e23 @ e21 )
     != e23 )
   <= ( ( ( op2 @ e23 @ e21 )
        = e23 )
      & ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
        = e23 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26749,zip_derived_cl145]) ).

thf(zip_derived_cl1503_258,plain,
    ( ( ( op2 @ e23 @ e21 )
      = e23 )
   <= ( ( op2 @ e23 @ e21 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl29411,plain,
    ( ( e23 != e23 )
   <= ( ( ( op2 @ e23 @ e21 )
        = e23 )
      & ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
        = e23 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl29396,zip_derived_cl1503]) ).

thf('178',plain,
    ( ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
     != e23 )
    | ( ( op2 @ e23 @ e21 )
     != e23 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl29411]) ).

thf(zip_derived_cl249,plain,
    ( ( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
      = e23 )
    | ~ zip_tseitin_7 ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf('179',plain,
    ( ~ zip_tseitin_7
    | ( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl249]) ).

thf(zip_derived_cl1494_259,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e22 )
   <= ( ( op2 @ e23 @ e23 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1745,plain,
    ( ( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
      = e23 )
   <= ( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl249]) ).

thf(zip_derived_cl26942,plain,
    ( ( ( op2 @ e22 @ e22 )
      = e23 )
   <= ( ( ( op2 @ e23 @ e23 )
        = e22 )
      & ( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1494,zip_derived_cl1745]) ).

thf(zip_derived_cl24871_260,plain,
    ( ( ( op2 @ e22 @ e22 )
     != e23 )
   <= ( ( op2 @ e22 @ e23 )
      = e23 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1511,zip_derived_cl150]) ).

thf(zip_derived_cl30012,plain,
    ( ( e23 != e23 )
   <= ( ( ( op2 @ e23 @ e23 )
        = e22 )
      & ( ( op2 @ e22 @ e23 )
        = e23 )
      & ( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
        = e23 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26942,zip_derived_cl24871]) ).

thf('180',plain,
    ( ( ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) )
     != e23 )
    | ( ( op2 @ e23 @ e23 )
     != e22 )
    | ( ( op2 @ e22 @ e23 )
     != e23 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl30012]) ).

thf(zip_derived_cl27408_261,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e21 )
   <= ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl27398,zip_derived_cl1724]) ).

thf(zip_derived_cl1494_262,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e22 )
   <= ( ( op2 @ e23 @ e23 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl32186,plain,
    ( ( e21 = e22 )
   <= ( ( ( op2 @ e23 @ e23 )
        = e22 )
      & ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
        = e21 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl27408,zip_derived_cl1494]) ).

thf(zip_derived_cl200_263,plain,
    e21 != e22,
    inference(cnf,[status(esa)],[ax8]) ).

thf('181',plain,
    ( ( ( op2 @ e23 @ e23 )
     != e22 )
    | ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
     != e21 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl32186,zip_derived_cl200]) ).

thf(zip_derived_cl1498_264,plain,
    ( ( ( op2 @ e23 @ e22 )
      = e22 )
   <= ( ( op2 @ e23 @ e22 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl1494_265,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e22 )
   <= ( ( op2 @ e23 @ e23 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl144_266,plain,
    ( ( op2 @ e23 @ e22 )
   != ( op2 @ e23 @ e23 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl24690,plain,
    ( ( ( op2 @ e23 @ e22 )
     != e22 )
   <= ( ( op2 @ e23 @ e23 )
      = e22 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1494,zip_derived_cl144]) ).

thf(zip_derived_cl26881,plain,
    ( ( e22 != e22 )
   <= ( ( ( op2 @ e23 @ e23 )
        = e22 )
      & ( ( op2 @ e23 @ e22 )
        = e22 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1498,zip_derived_cl24690]) ).

thf('182',plain,
    ( ( ( op2 @ e23 @ e22 )
     != e22 )
    | ( ( op2 @ e23 @ e23 )
     != e22 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26881]) ).

thf('183',plain,
    ( ~ zip_tseitin_6
    | ( ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl248]) ).

thf(zip_derived_cl1543_267,plain,
    ( ( ( op2 @ e20 @ e23 )
      = e23 )
   <= ( ( op2 @ e20 @ e23 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl1351,plain,
    ( ( ( op1 @ e10 @ e13 )
      = e13 )
   <= ( ( op1 @ e10 @ e13 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl6879,plain,
    ( ( ( h2 @ ( op1 @ e10 @ e13 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
   <= ( ( h2 @ ( op1 @ e10 @ e13 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl532]) ).

thf(zip_derived_cl22587_268,plain,
    ( ( h2 @ e10 )
    = e20 ),
    inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl258,zip_derived_cl22557]) ).

thf(zip_derived_cl27405_269,plain,
    ( ( h2 @ e13 )
    = e23 ),
    inference(demod,[status(thm)],[zip_derived_cl22575,zip_derived_cl27398]) ).

thf(zip_derived_cl34935,plain,
    ( ( ( h2 @ ( op1 @ e10 @ e13 ) )
     != ( op2 @ e20 @ e23 ) )
   <= ( ( h2 @ ( op1 @ e10 @ e13 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6879,zip_derived_cl22587,zip_derived_cl27405]) ).

thf(zip_derived_cl34937,plain,
    ( ( ( h2 @ e13 )
     != ( op2 @ e20 @ e23 ) )
   <= ( ( ( h2 @ ( op1 @ e10 @ e13 ) )
       != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
      & ( ( op1 @ e10 @ e13 )
        = e13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1351,zip_derived_cl34935]) ).

thf(zip_derived_cl27405_270,plain,
    ( ( h2 @ e13 )
    = e23 ),
    inference(demod,[status(thm)],[zip_derived_cl22575,zip_derived_cl27398]) ).

thf(zip_derived_cl34939,plain,
    ( ( e23
     != ( op2 @ e20 @ e23 ) )
   <= ( ( ( h2 @ ( op1 @ e10 @ e13 ) )
       != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
      & ( ( op1 @ e10 @ e13 )
        = e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl34937,zip_derived_cl27405]) ).

thf(zip_derived_cl34971,plain,
    ( ( e23 != e23 )
   <= ( ( ( h2 @ ( op1 @ e10 @ e13 ) )
       != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
      & ( ( op1 @ e10 @ e13 )
        = e13 )
      & ( ( op2 @ e20 @ e23 )
        = e23 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl34939]) ).

thf('184',plain,
    ( ( ( h2 @ ( op1 @ e10 @ e13 ) )
      = ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
    | ( ( op2 @ e20 @ e23 )
     != e23 )
    | ( ( op1 @ e10 @ e13 )
     != e13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl34971]) ).

thf(zip_derived_cl1347_271,plain,
    ( ( ( op1 @ e11 @ e10 )
      = e13 )
   <= ( ( op1 @ e11 @ e10 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1335,plain,
    ( ( ( op1 @ e11 @ e13 )
      = e13 )
   <= ( ( op1 @ e11 @ e13 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl111,plain,
    ( ( op1 @ e11 @ e10 )
   != ( op1 @ e11 @ e13 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl23211,plain,
    ( ( ( op1 @ e11 @ e10 )
     != e13 )
   <= ( ( op1 @ e11 @ e13 )
      = e13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1335,zip_derived_cl111]) ).

thf(zip_derived_cl26308,plain,
    ( ( e13 != e13 )
   <= ( ( ( op1 @ e11 @ e13 )
        = e13 )
      & ( ( op1 @ e11 @ e10 )
        = e13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1347,zip_derived_cl23211]) ).

thf('185',plain,
    ( ( ( op1 @ e11 @ e13 )
     != e13 )
    | ( ( op1 @ e11 @ e10 )
     != e13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26308]) ).

thf('186',plain,
    ( ( ( op1 @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e11 ) )
     != e10 )
    | ( ( op1 @ e10 @ e11 )
     != e11 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl28486,zip_derived_cl196]) ).

thf('187',plain,
    ( ( ( op1 @ e10 @ e11 )
      = e11 )
    | ( ( op1 @ e13 @ e11 )
      = e11 )
    | ( ( op1 @ e12 @ e11 )
      = e11 )
    | ( ( op1 @ e11 @ e11 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl26357_272,plain,
    ( ( ( op1 @ e12 @ e12 )
      = e13 )
   <= ( ( ( op1 @ e13 @ e10 )
        = e12 )
      & ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1314,zip_derived_cl1685]) ).

thf(zip_derived_cl1319_273,plain,
    ( ( ( op1 @ e12 @ e13 )
      = e13 )
   <= ( ( op1 @ e12 @ e13 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl102_274,plain,
    ( ( op1 @ e12 @ e12 )
   != ( op1 @ e12 @ e13 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl22977,plain,
    ( ( ( op1 @ e12 @ e12 )
     != e13 )
   <= ( ( op1 @ e12 @ e13 )
      = e13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1319,zip_derived_cl102]) ).

thf(zip_derived_cl28291,plain,
    ( ( e13 != e13 )
   <= ( ( ( op1 @ e13 @ e10 )
        = e12 )
      & ( ( op1 @ e12 @ e13 )
        = e13 )
      & ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
        = e13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26357,zip_derived_cl22977]) ).

thf('188',plain,
    ( ( ( op1 @ e12 @ e13 )
     != e13 )
    | ( ( op1 @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e10 ) )
     != e13 )
    | ( ( op1 @ e13 @ e10 )
     != e12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl28291]) ).

thf(zip_derived_cl16,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e13 )
    | ( ( op1 @ e12 @ e13 )
      = e13 )
    | ( ( op1 @ e11 @ e13 )
      = e13 )
    | ( ( op1 @ e10 @ e13 )
      = e13 ) ),
    inference(cnf,[status(esa)],[ax2]) ).

thf('189',plain,
    ( ( ( op1 @ e10 @ e13 )
      = e13 )
    | ( ( op1 @ e13 @ e13 )
      = e13 )
    | ( ( op1 @ e12 @ e13 )
      = e13 )
    | ( ( op1 @ e11 @ e13 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1543_275,plain,
    ( ( ( op2 @ e20 @ e23 )
      = e23 )
   <= ( ( op2 @ e20 @ e23 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl1542_276,plain,
    ( ( ( op2 @ e20 @ e23 )
      = e22 )
   <= ( ( op2 @ e20 @ e23 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl25169,plain,
    ( ( e23 = e22 )
   <= ( ( ( op2 @ e20 @ e23 )
        = e22 )
      & ( ( op2 @ e20 @ e23 )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl1542]) ).

thf(zip_derived_cl198_277,plain,
    e22 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('190',plain,
    ( ( ( op2 @ e20 @ e23 )
     != e23 )
    | ( ( op2 @ e20 @ e23 )
     != e22 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl25169,zip_derived_cl198]) ).

thf(zip_derived_cl1503_278,plain,
    ( ( ( op2 @ e23 @ e21 )
      = e23 )
   <= ( ( op2 @ e23 @ e21 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1311_279,plain,
    ( ( ( op1 @ e13 @ e11 )
      = e13 )
   <= ( ( op1 @ e13 @ e11 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl6889,plain,
    ( ( ( h2 @ ( op1 @ e13 @ e11 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
   <= ( ( h2 @ ( op1 @ e13 @ e11 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl532]) ).

thf(zip_derived_cl27405_280,plain,
    ( ( h2 @ e13 )
    = e23 ),
    inference(demod,[status(thm)],[zip_derived_cl22575,zip_derived_cl27398]) ).

thf(zip_derived_cl267_281,plain,
    ( ( h2 @ e11 )
    = e21 ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl34976,plain,
    ( ( ( h2 @ ( op1 @ e13 @ e11 ) )
     != ( op2 @ e23 @ e21 ) )
   <= ( ( h2 @ ( op1 @ e13 @ e11 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6889,zip_derived_cl27405,zip_derived_cl267]) ).

thf(zip_derived_cl34978,plain,
    ( ( ( h2 @ e13 )
     != ( op2 @ e23 @ e21 ) )
   <= ( ( ( h2 @ ( op1 @ e13 @ e11 ) )
       != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
      & ( ( op1 @ e13 @ e11 )
        = e13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1311,zip_derived_cl34976]) ).

thf(zip_derived_cl27405_282,plain,
    ( ( h2 @ e13 )
    = e23 ),
    inference(demod,[status(thm)],[zip_derived_cl22575,zip_derived_cl27398]) ).

thf(zip_derived_cl34980,plain,
    ( ( e23
     != ( op2 @ e23 @ e21 ) )
   <= ( ( ( h2 @ ( op1 @ e13 @ e11 ) )
       != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
      & ( ( op1 @ e13 @ e11 )
        = e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl34978,zip_derived_cl27405]) ).

thf(zip_derived_cl35071,plain,
    ( ( e23 != e23 )
   <= ( ( ( h2 @ ( op1 @ e13 @ e11 ) )
       != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
      & ( ( op1 @ e13 @ e11 )
        = e13 )
      & ( ( op2 @ e23 @ e21 )
        = e23 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1503,zip_derived_cl34980]) ).

thf('191',plain,
    ( ( ( h2 @ ( op1 @ e13 @ e11 ) )
      = ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
    | ( ( op2 @ e23 @ e21 )
     != e23 )
    | ( ( op1 @ e13 @ e11 )
     != e13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl35071]) ).

thf('192',plain,
    ( ( ( op1 @ e13 @ e13 )
      = e11 )
    | ( ( op1 @ e13 @ e11 )
      = e11 )
    | ( ( op1 @ e13 @ e12 )
      = e11 )
    | ( ( op1 @ e13 @ e10 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf('193',plain,
    ( ~ zip_tseitin_3
    | ( ( op1 @ ( op1 @ e10 @ e13 ) @ ( op1 @ e10 @ e13 ) )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl235]) ).

thf('194',plain,
    ( ( ( op1 @ ( op1 @ e13 @ e11 ) @ ( op1 @ e13 @ e11 ) )
     != e13 )
    | ( ( op1 @ e13 @ e11 )
     != e13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl28464]) ).

thf(zip_derived_cl29096_283,plain,
    ( ( op1 @ e13 @ e13 )
    = e11 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl29095,'146']) ).

thf(zip_derived_cl1303_284,plain,
    ( ( ( op1 @ e13 @ e13 )
      = e13 )
   <= ( ( op1 @ e13 @ e13 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl50624,plain,
    ( ( e11 = e13 )
   <= ( ( op1 @ e13 @ e13 )
      = e13 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl29096,zip_derived_cl1303]) ).

thf(zip_derived_cl193_285,plain,
    e11 != e13,
    inference(cnf,[status(esa)],[ax7]) ).

thf('195',plain,
    ( ( op1 @ e13 @ e13 )
   != e13 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl50624,zip_derived_cl193]) ).

thf('196',plain,
    ( ( ( op1 @ e13 @ e11 )
      = e13 )
    | ( ( op1 @ e13 @ e13 )
      = e13 )
    | ( ( op1 @ e13 @ e10 )
      = e13 )
    | ( ( op1 @ e13 @ e12 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl64,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e23 )
    | ( ( op2 @ e22 @ e23 )
      = e23 )
    | ( ( op2 @ e21 @ e23 )
      = e23 )
    | ( ( op2 @ e20 @ e23 )
      = e23 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf('197',plain,
    ( ( ( op2 @ e22 @ e23 )
      = e23 )
    | ( ( op2 @ e20 @ e23 )
      = e23 )
    | ( ( op2 @ e21 @ e23 )
      = e23 )
    | ( ( op2 @ e23 @ e23 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl1527_286,plain,
    ( ( ( op2 @ e21 @ e23 )
      = e23 )
   <= ( ( op2 @ e21 @ e23 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl159,plain,
    ( ( op2 @ e21 @ e20 )
   != ( op2 @ e21 @ e23 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl27398_287,plain,
    ( e23
    = ( op2 @ e21 @ e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22552,zip_derived_cl22557]) ).

thf(zip_derived_cl27399,plain,
    ( e23
   != ( op2 @ e21 @ e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl27398]) ).

thf(zip_derived_cl27452,plain,
    ( ( e23 != e23 )
   <= ( ( op2 @ e21 @ e23 )
      = e23 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl27399]) ).

thf('198',plain,
    ( ( op2 @ e21 @ e23 )
   != e23 ),
    inference(simplify,[status(thm)],[zip_derived_cl27452]) ).

thf(zip_derived_cl27398_288,plain,
    ( e23
    = ( op2 @ e21 @ e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22552,zip_derived_cl22557]) ).

thf(zip_derived_cl1536_289,plain,
    ( ( ( op2 @ e21 @ e20 )
      = e20 )
   <= ( ( op2 @ e21 @ e20 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl27406,plain,
    ( ( e23 = e20 )
   <= ( ( op2 @ e21 @ e20 )
      = e20 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl27398,zip_derived_cl1536]) ).

thf(zip_derived_cl201_290,plain,
    e20 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('199',plain,
    ( ( op2 @ e21 @ e20 )
   != e20 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl27406,zip_derived_cl201]) ).

thf(zip_derived_cl1538,plain,
    ( ( ( op2 @ e21 @ e20 )
      = e22 )
   <= ( ( op2 @ e21 @ e20 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl161,plain,
    ( ( op2 @ e21 @ e20 )
   != ( op2 @ e21 @ e21 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl258_291,plain,
    ( e22
    = ( op2 @ e21 @ e21 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl22548,plain,
    ( ( op2 @ e21 @ e20 )
   != e22 ),
    inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl258]) ).

thf(zip_derived_cl26620,plain,
    ( ( e22 != e22 )
   <= ( ( op2 @ e21 @ e20 )
      = e22 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl22548]) ).

thf('200',plain,
    ( ( op2 @ e21 @ e20 )
   != e22 ),
    inference(simplify,[status(thm)],[zip_derived_cl26620]) ).

thf(zip_derived_cl27398_292,plain,
    ( e23
    = ( op2 @ e21 @ e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22552,zip_derived_cl22557]) ).

thf(zip_derived_cl1537_293,plain,
    ( ( ( op2 @ e21 @ e20 )
      = e21 )
   <= ( ( op2 @ e21 @ e20 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl27407,plain,
    ( ( e23 = e21 )
   <= ( ( op2 @ e21 @ e20 )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl27398,zip_derived_cl1537]) ).

thf(zip_derived_cl199_294,plain,
    e21 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('201',plain,
    ( ( op2 @ e21 @ e20 )
   != e21 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl27407,zip_derived_cl199]) ).

thf('202',plain,
    ( ( ( op2 @ e21 @ e20 )
      = e23 )
    | ( ( op2 @ e21 @ e20 )
      = e21 )
    | ( ( op2 @ e21 @ e20 )
      = e22 )
    | ( ( op2 @ e21 @ e20 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl1539_295,plain,
    ( ( ( op2 @ e21 @ e20 )
      = e23 )
   <= ( ( op2 @ e21 @ e20 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl1507,plain,
    ( ( ( op2 @ e23 @ e20 )
      = e23 )
   <= ( ( op2 @ e23 @ e20 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl187,plain,
    ( ( op2 @ e21 @ e20 )
   != ( op2 @ e23 @ e20 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl24834,plain,
    ( ( ( op2 @ e21 @ e20 )
     != e23 )
   <= ( ( op2 @ e23 @ e20 )
      = e23 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1507,zip_derived_cl187]) ).

thf(zip_derived_cl27223,plain,
    ( ( e23 != e23 )
   <= ( ( ( op2 @ e23 @ e20 )
        = e23 )
      & ( ( op2 @ e21 @ e20 )
        = e23 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl24834]) ).

thf('203',plain,
    ( ( ( op2 @ e23 @ e20 )
     != e23 )
    | ( ( op2 @ e21 @ e20 )
     != e23 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27223]) ).

thf(zip_derived_cl1526,plain,
    ( ( ( op2 @ e21 @ e23 )
      = e22 )
   <= ( ( op2 @ e21 @ e23 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl157,plain,
    ( ( op2 @ e21 @ e21 )
   != ( op2 @ e21 @ e23 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl258_296,plain,
    ( e22
    = ( op2 @ e21 @ e21 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl22546,plain,
    ( e22
   != ( op2 @ e21 @ e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl157,zip_derived_cl258]) ).

thf(zip_derived_cl26578,plain,
    ( ( e22 != e22 )
   <= ( ( op2 @ e21 @ e23 )
      = e22 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl22546]) ).

thf('204',plain,
    ( ( op2 @ e21 @ e23 )
   != e22 ),
    inference(simplify,[status(thm)],[zip_derived_cl26578]) ).

thf(zip_derived_cl1510_297,plain,
    ( ( ( op2 @ e22 @ e23 )
      = e22 )
   <= ( ( op2 @ e22 @ e23 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl250,plain,
    ( ( ( op2 @ ( op2 @ e22 @ e23 ) @ ( op2 @ e22 @ e23 ) )
      = e22 )
    | ~ zip_tseitin_7 ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf(zip_derived_cl1746,plain,
    ( ( ( op2 @ ( op2 @ e22 @ e23 ) @ ( op2 @ e22 @ e23 ) )
      = e22 )
   <= ( ( op2 @ ( op2 @ e22 @ e23 ) @ ( op2 @ e22 @ e23 ) )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl250]) ).

thf(zip_derived_cl26962,plain,
    ( ( ( op2 @ e22 @ e22 )
      = e22 )
   <= ( ( ( op2 @ e22 @ e23 )
        = e22 )
      & ( ( op2 @ ( op2 @ e22 @ e23 ) @ ( op2 @ e22 @ e23 ) )
        = e22 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1510,zip_derived_cl1746]) ).

thf(zip_derived_cl1510_298,plain,
    ( ( ( op2 @ e22 @ e23 )
      = e22 )
   <= ( ( op2 @ e22 @ e23 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl150_299,plain,
    ( ( op2 @ e22 @ e22 )
   != ( op2 @ e22 @ e23 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl24861,plain,
    ( ( ( op2 @ e22 @ e22 )
     != e22 )
   <= ( ( op2 @ e22 @ e23 )
      = e22 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1510,zip_derived_cl150]) ).

thf('205',plain,
    ( ( ( op2 @ ( op2 @ e22 @ e23 ) @ ( op2 @ e22 @ e23 ) )
     != e22 )
    | ( ( op2 @ e22 @ e23 )
     != e22 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl26962,zip_derived_cl24861]) ).

thf(zip_derived_cl1542_300,plain,
    ( ( ( op2 @ e20 @ e23 )
      = e22 )
   <= ( ( op2 @ e20 @ e23 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl1750_301,plain,
    ( ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
      = e20 )
   <= ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl252]) ).

thf(zip_derived_cl27008,plain,
    ( ( ( op2 @ e22 @ e22 )
      = e20 )
   <= ( ( ( op2 @ e20 @ e23 )
        = e22 )
      & ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
        = e20 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl1750]) ).

thf(zip_derived_cl22559_302,plain,
    ( e20
   != ( op2 @ e22 @ e22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl22557]) ).

thf('206',plain,
    ( ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
     != e20 )
    | ( ( op2 @ e20 @ e23 )
     != e22 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl27008,zip_derived_cl22559]) ).

thf('207',plain,
    ( ~ zip_tseitin_7
    | ( ( op2 @ ( op2 @ e22 @ e23 ) @ ( op2 @ e22 @ e23 ) )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl250]) ).

thf('208',plain,
    ( ~ zip_tseitin_7
    | ( ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl252]) ).

thf('209',plain,
    ( ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
      = e22 )
    | ~ zip_tseitin_6 ),
    inference(split,[status(esa)],[zip_derived_cl246]) ).

thf('210',plain,
    ( ~ zip_tseitin_5
    | ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl241]) ).

thf(zip_derived_cl26873_303,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e22 )
   <= ( ( ( op2 @ e22 @ e22 )
        = e23 )
      & ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
        = e22 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1515,zip_derived_cl1738]) ).

thf(zip_derived_cl1495,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e23 )
   <= ( ( op2 @ e23 @ e23 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl29663,plain,
    ( ( e22 = e23 )
   <= ( ( ( op2 @ e23 @ e23 )
        = e23 )
      & ( ( op2 @ e22 @ e22 )
        = e23 )
      & ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
        = e22 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl26873,zip_derived_cl1495]) ).

thf(zip_derived_cl198_304,plain,
    e22 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('211',plain,
    ( ( ( op2 @ e23 @ e23 )
     != e23 )
    | ( ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) )
     != e22 )
    | ( ( op2 @ e22 @ e22 )
     != e23 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl29663,zip_derived_cl198]) ).

thf(zip_derived_cl1501_305,plain,
    ( ( ( op2 @ e23 @ e21 )
      = e21 )
   <= ( ( op2 @ e23 @ e21 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1729_306,plain,
    ( ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
      = e23 )
   <= ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl241]) ).

thf(zip_derived_cl26748,plain,
    ( ( ( op2 @ e21 @ e21 )
      = e23 )
   <= ( ( ( op2 @ e23 @ e21 )
        = e21 )
      & ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1501,zip_derived_cl1729]) ).

thf(zip_derived_cl258_307,plain,
    ( e22
    = ( op2 @ e21 @ e21 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl26753,plain,
    ( ( e22 = e23 )
   <= ( ( ( op2 @ e23 @ e21 )
        = e21 )
      & ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
        = e23 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl26748,zip_derived_cl258]) ).

thf(zip_derived_cl198_308,plain,
    e22 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('212',plain,
    ( ( ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) )
     != e23 )
    | ( ( op2 @ e23 @ e21 )
     != e21 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl26753,zip_derived_cl198]) ).

thf('213',plain,
    ( ~ zip_tseitin_4
    | ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl239]) ).

thf(zip_derived_cl73,plain,
    ( ( ( op2 @ e22 @ e23 )
      = e23 )
    | ( ( op2 @ e22 @ e22 )
      = e23 )
    | ( ( op2 @ e22 @ e21 )
      = e23 )
    | ( ( op2 @ e22 @ e20 )
      = e23 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf('214',plain,
    ( ( ( op2 @ e22 @ e23 )
      = e23 )
    | ( ( op2 @ e22 @ e22 )
      = e23 )
    | ( ( op2 @ e22 @ e21 )
      = e23 )
    | ( ( op2 @ e22 @ e20 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl1539_309,plain,
    ( ( ( op2 @ e21 @ e20 )
      = e23 )
   <= ( ( op2 @ e21 @ e20 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl1523,plain,
    ( ( ( op2 @ e22 @ e20 )
      = e23 )
   <= ( ( op2 @ e22 @ e20 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl188,plain,
    ( ( op2 @ e21 @ e20 )
   != ( op2 @ e22 @ e20 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl24980,plain,
    ( ( ( op2 @ e21 @ e20 )
     != e23 )
   <= ( ( op2 @ e22 @ e20 )
      = e23 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl188]) ).

thf(zip_derived_cl27369,plain,
    ( ( e23 != e23 )
   <= ( ( ( op2 @ e22 @ e20 )
        = e23 )
      & ( ( op2 @ e21 @ e20 )
        = e23 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl24980]) ).

thf(zip_derived_cl27370,plain,
    ( $false
   <= ( ( ( op2 @ e22 @ e20 )
        = e23 )
      & ( ( op2 @ e21 @ e20 )
        = e23 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27369]) ).

thf('215',plain,
    ( ( op2 @ e21 @ e20 )
    = e23 ),
    inference('sat_resolution*',[status(thm)],['199','200','201','202']) ).

thf('216',plain,
    ( ( op2 @ e22 @ e20 )
   != e23 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl27370,'215']) ).

thf('217',plain,
    ( ( ( op2 @ e23 @ e21 )
      = e21 )
    | ( ( op2 @ e23 @ e21 )
      = e23 )
    | ( ( op2 @ e23 @ e21 )
      = e22 )
    | ( ( op2 @ e23 @ e21 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl80,plain,
    ( ( ( op2 @ e23 @ e21 )
      = e23 )
    | ( ( op2 @ e22 @ e21 )
      = e23 )
    | ( ( op2 @ e21 @ e21 )
      = e23 )
    | ( ( op2 @ e20 @ e21 )
      = e23 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf('218',plain,
    ( ( ( op2 @ e20 @ e21 )
      = e23 )
    | ( ( op2 @ e23 @ e21 )
      = e23 )
    | ( ( op2 @ e22 @ e21 )
      = e23 )
    | ( ( op2 @ e21 @ e21 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl80]) ).

thf(zip_derived_cl54,plain,
    ( ( ( op2 @ e22 @ e21 )
      = e23 )
    | ( ( op2 @ e22 @ e21 )
      = e22 )
    | ( ( op2 @ e22 @ e21 )
      = e21 )
    | ( ( op2 @ e22 @ e21 )
      = e20 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl1519,plain,
    ( ( ( op2 @ e22 @ e21 )
      = e23 )
   <= ( ( op2 @ e22 @ e21 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl22557_310,plain,
    ( e20
    = ( op2 @ e22 @ e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).

thf(zip_derived_cl24956,plain,
    ( ( e20 = e23 )
   <= ( ( op2 @ e22 @ e21 )
      = e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1519,zip_derived_cl22557]) ).

thf(zip_derived_cl201_311,plain,
    e20 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('219',plain,
    ( ( op2 @ e22 @ e21 )
   != e23 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl24956,zip_derived_cl201]) ).

thf(zip_derived_cl1535,plain,
    ( ( ( op2 @ e21 @ e21 )
      = e23 )
   <= ( ( op2 @ e21 @ e21 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl258_312,plain,
    ( e22
    = ( op2 @ e21 @ e21 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl25093,plain,
    ( ( e22 = e23 )
   <= ( ( op2 @ e21 @ e21 )
      = e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1535,zip_derived_cl258]) ).

thf(zip_derived_cl198_313,plain,
    e22 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('220',plain,
    ( ( op2 @ e21 @ e21 )
   != e23 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl25093,zip_derived_cl198]) ).

thf(zip_derived_cl1503_314,plain,
    ( ( ( op2 @ e23 @ e21 )
      = e23 )
   <= ( ( op2 @ e23 @ e21 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1502,plain,
    ( ( ( op2 @ e23 @ e21 )
      = e22 )
   <= ( ( op2 @ e23 @ e21 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl24805,plain,
    ( ( e23 = e22 )
   <= ( ( ( op2 @ e23 @ e21 )
        = e22 )
      & ( ( op2 @ e23 @ e21 )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1503,zip_derived_cl1502]) ).

thf(zip_derived_cl198_315,plain,
    e22 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('221',plain,
    ( ( ( op2 @ e23 @ e21 )
     != e22 )
    | ( ( op2 @ e23 @ e21 )
     != e23 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl24805,zip_derived_cl198]) ).

thf(zip_derived_cl1502_316,plain,
    ( ( ( op2 @ e23 @ e21 )
      = e22 )
   <= ( ( op2 @ e23 @ e21 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1501_317,plain,
    ( ( ( op2 @ e23 @ e21 )
      = e21 )
   <= ( ( op2 @ e23 @ e21 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl24796,plain,
    ( ( e22 = e21 )
   <= ( ( ( op2 @ e23 @ e21 )
        = e21 )
      & ( ( op2 @ e23 @ e21 )
        = e22 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1502,zip_derived_cl1501]) ).

thf(zip_derived_cl200_318,plain,
    e21 != e22,
    inference(cnf,[status(esa)],[ax8]) ).

thf('222',plain,
    ( ( ( op2 @ e23 @ e21 )
     != e22 )
    | ( ( op2 @ e23 @ e21 )
     != e21 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl24796,zip_derived_cl200]) ).

thf(zip_derived_cl1551,plain,
    ( ( ( op2 @ e20 @ e21 )
      = e23 )
   <= ( ( op2 @ e20 @ e21 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl1549_319,plain,
    ( ( ( op2 @ e20 @ e21 )
      = e21 )
   <= ( ( op2 @ e20 @ e21 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl25235,plain,
    ( ( e23 = e21 )
   <= ( ( ( op2 @ e20 @ e21 )
        = e21 )
      & ( ( op2 @ e20 @ e21 )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl1549]) ).

thf(zip_derived_cl199_320,plain,
    e21 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('223',plain,
    ( ( ( op2 @ e20 @ e21 )
     != e21 )
    | ( ( op2 @ e20 @ e21 )
     != e23 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl25235,zip_derived_cl199]) ).

thf(zip_derived_cl1500,plain,
    ( ( ( op2 @ e23 @ e21 )
      = e20 )
   <= ( ( op2 @ e23 @ e21 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl180,plain,
    ( ( op2 @ e22 @ e21 )
   != ( op2 @ e23 @ e21 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl22557_321,plain,
    ( e20
    = ( op2 @ e22 @ e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).

thf(zip_derived_cl22561,plain,
    ( e20
   != ( op2 @ e23 @ e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl22557]) ).

thf(zip_derived_cl26743,plain,
    ( ( e20 != e20 )
   <= ( ( op2 @ e23 @ e21 )
      = e20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1500,zip_derived_cl22561]) ).

thf('224',plain,
    ( ( op2 @ e23 @ e21 )
   != e20 ),
    inference(simplify,[status(thm)],[zip_derived_cl26743]) ).

thf(zip_derived_cl27408_322,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e21 )
   <= ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl27398,zip_derived_cl1724]) ).

thf(zip_derived_cl1495_323,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e23 )
   <= ( ( op2 @ e23 @ e23 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl32187,plain,
    ( ( e21 = e23 )
   <= ( ( ( op2 @ e23 @ e23 )
        = e23 )
      & ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
        = e21 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl27408,zip_derived_cl1495]) ).

thf(zip_derived_cl199_324,plain,
    e21 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('225',plain,
    ( ( ( op2 @ e23 @ e23 )
     != e23 )
    | ( ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) )
     != e21 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl32187,zip_derived_cl199]) ).

thf(zip_derived_cl1511_325,plain,
    ( ( ( op2 @ e22 @ e23 )
      = e23 )
   <= ( ( op2 @ e22 @ e23 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl1495_326,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e23 )
   <= ( ( op2 @ e23 @ e23 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl168_327,plain,
    ( ( op2 @ e22 @ e23 )
   != ( op2 @ e23 @ e23 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl24710,plain,
    ( ( ( op2 @ e22 @ e23 )
     != e23 )
   <= ( ( op2 @ e23 @ e23 )
      = e23 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl168]) ).

thf(zip_derived_cl26929,plain,
    ( ( e23 != e23 )
   <= ( ( ( op2 @ e23 @ e23 )
        = e23 )
      & ( ( op2 @ e22 @ e23 )
        = e23 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1511,zip_derived_cl24710]) ).

thf('226',plain,
    ( ( ( op2 @ e23 @ e23 )
     != e23 )
    | ( ( op2 @ e22 @ e23 )
     != e23 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26929]) ).

thf(zip_derived_cl1503_328,plain,
    ( ( ( op2 @ e23 @ e21 )
      = e23 )
   <= ( ( op2 @ e23 @ e21 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1495_329,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e23 )
   <= ( ( op2 @ e23 @ e23 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl145_330,plain,
    ( ( op2 @ e23 @ e21 )
   != ( op2 @ e23 @ e23 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl24708,plain,
    ( ( ( op2 @ e23 @ e21 )
     != e23 )
   <= ( ( op2 @ e23 @ e23 )
      = e23 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl145]) ).

thf(zip_derived_cl26910,plain,
    ( ( e23 != e23 )
   <= ( ( ( op2 @ e23 @ e23 )
        = e23 )
      & ( ( op2 @ e23 @ e21 )
        = e23 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1503,zip_derived_cl24708]) ).

thf('227',plain,
    ( ( ( op2 @ e23 @ e23 )
     != e23 )
    | ( ( op2 @ e23 @ e21 )
     != e23 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26910]) ).

thf(zip_derived_cl1495_331,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e23 )
   <= ( ( op2 @ e23 @ e23 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1494_332,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e22 )
   <= ( ( op2 @ e23 @ e23 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl24716,plain,
    ( ( e23 = e22 )
   <= ( ( ( op2 @ e23 @ e23 )
        = e22 )
      & ( ( op2 @ e23 @ e23 )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1495,zip_derived_cl1494]) ).

thf(zip_derived_cl198_333,plain,
    e22 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('228',plain,
    ( ( ( op2 @ e23 @ e23 )
     != e23 )
    | ( ( op2 @ e23 @ e23 )
     != e22 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl24716,zip_derived_cl198]) ).

thf(zip_derived_cl66,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e22 )
    | ( ( op2 @ e22 @ e23 )
      = e22 )
    | ( ( op2 @ e21 @ e23 )
      = e22 )
    | ( ( op2 @ e20 @ e23 )
      = e22 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf('229',plain,
    ( ( ( op2 @ e20 @ e23 )
      = e22 )
    | ( ( op2 @ e22 @ e23 )
      = e22 )
    | ( ( op2 @ e23 @ e23 )
      = e22 )
    | ( ( op2 @ e21 @ e23 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl243,plain,
    ( ( ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) )
      = e21 )
    | ~ zip_tseitin_5 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf('230',plain,
    ( ~ zip_tseitin_5
    | ( ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl243]) ).

thf(zip_derived_cl1515_334,plain,
    ( ( ( op2 @ e22 @ e22 )
      = e23 )
   <= ( ( op2 @ e22 @ e22 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl1323_335,plain,
    ( ( ( op1 @ e12 @ e12 )
      = e13 )
   <= ( ( op1 @ e12 @ e12 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf('231',plain,
    ( ( op1 @ e12 @ e12 )
    = e13 ),
    inference('sat_resolution*',[status(thm)],['106','25','107','101','108','26','27','28','29','30','31','32','33','34','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','60','188','35']) ).

thf(zip_derived_cl29089,plain,
    ( ( op1 @ e12 @ e12 )
    = e13 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl1323,'231']) ).

thf(zip_derived_cl6886,plain,
    ( ( ( h2 @ ( op1 @ e12 @ e12 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
   <= ( ( h2 @ ( op1 @ e12 @ e12 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl532]) ).

thf(zip_derived_cl22582_336,plain,
    ( ( h2 @ e12 )
    = e22 ),
    inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl258]) ).

thf(zip_derived_cl22582_337,plain,
    ( ( h2 @ e12 )
    = e22 ),
    inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl258]) ).

thf(zip_derived_cl34973,plain,
    ( ( ( h2 @ ( op1 @ e12 @ e12 ) )
     != ( op2 @ e22 @ e22 ) )
   <= ( ( h2 @ ( op1 @ e12 @ e12 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6886,zip_derived_cl22582,zip_derived_cl22582]) ).

thf(zip_derived_cl50298,plain,
    ( ( ( h2 @ e13 )
     != ( op2 @ e22 @ e22 ) )
   <= ( ( h2 @ ( op1 @ e12 @ e12 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29089,zip_derived_cl34973]) ).

thf(zip_derived_cl27405_338,plain,
    ( ( h2 @ e13 )
    = e23 ),
    inference(demod,[status(thm)],[zip_derived_cl22575,zip_derived_cl27398]) ).

thf(zip_derived_cl50318,plain,
    ( ( e23
     != ( op2 @ e22 @ e22 ) )
   <= ( ( h2 @ ( op1 @ e12 @ e12 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl50298,zip_derived_cl27405]) ).

thf(zip_derived_cl50330,plain,
    ( ( e23 != e23 )
   <= ( ( ( h2 @ ( op1 @ e12 @ e12 ) )
       != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
      & ( ( op2 @ e22 @ e22 )
        = e23 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1515,zip_derived_cl50318]) ).

thf('232',plain,
    ( ( ( h2 @ ( op1 @ e12 @ e12 ) )
      = ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
    | ( ( op2 @ e22 @ e22 )
     != e23 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl50330]) ).

thf(zip_derived_cl1515_339,plain,
    ( ( ( op2 @ e22 @ e22 )
      = e23 )
   <= ( ( op2 @ e22 @ e22 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl24871_340,plain,
    ( ( ( op2 @ e22 @ e22 )
     != e23 )
   <= ( ( op2 @ e22 @ e23 )
      = e23 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1511,zip_derived_cl150]) ).

thf(zip_derived_cl27293,plain,
    ( ( e23 != e23 )
   <= ( ( ( op2 @ e22 @ e23 )
        = e23 )
      & ( ( op2 @ e22 @ e22 )
        = e23 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1515,zip_derived_cl24871]) ).

thf('233',plain,
    ( ( ( op2 @ e22 @ e22 )
     != e23 )
    | ( ( op2 @ e22 @ e23 )
     != e23 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27293]) ).

thf(zip_derived_cl1515_341,plain,
    ( ( ( op2 @ e22 @ e22 )
      = e23 )
   <= ( ( op2 @ e22 @ e22 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl1499,plain,
    ( ( ( op2 @ e23 @ e22 )
      = e23 )
   <= ( ( op2 @ e23 @ e22 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl174,plain,
    ( ( op2 @ e22 @ e22 )
   != ( op2 @ e23 @ e22 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl24761,plain,
    ( ( ( op2 @ e22 @ e22 )
     != e23 )
   <= ( ( op2 @ e23 @ e22 )
      = e23 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1499,zip_derived_cl174]) ).

thf(zip_derived_cl27108,plain,
    ( ( e23 != e23 )
   <= ( ( ( op2 @ e23 @ e22 )
        = e23 )
      & ( ( op2 @ e22 @ e22 )
        = e23 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1515,zip_derived_cl24761]) ).

thf('234',plain,
    ( ( ( op2 @ e22 @ e22 )
     != e23 )
    | ( ( op2 @ e23 @ e22 )
     != e23 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27108]) ).

thf(zip_derived_cl1732,plain,
    ( ( ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) )
      = e21 )
   <= ( ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl243]) ).

thf(zip_derived_cl258_342,plain,
    ( e22
    = ( op2 @ e21 @ e21 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl258_343,plain,
    ( e22
    = ( op2 @ e21 @ e21 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl26801,plain,
    ( ( ( op2 @ e22 @ e22 )
      = e21 )
   <= ( ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) )
      = e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1732,zip_derived_cl258,zip_derived_cl258]) ).

thf(zip_derived_cl1515_344,plain,
    ( ( ( op2 @ e22 @ e22 )
      = e23 )
   <= ( ( op2 @ e22 @ e22 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl26807,plain,
    ( ( e21 = e23 )
   <= ( ( ( op2 @ e22 @ e22 )
        = e23 )
      & ( ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) )
        = e21 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl26801,zip_derived_cl1515]) ).

thf(zip_derived_cl199_345,plain,
    e21 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('235',plain,
    ( ( ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) )
     != e21 )
    | ( ( op2 @ e22 @ e22 )
     != e23 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl26807,zip_derived_cl199]) ).

thf(zip_derived_cl1515_346,plain,
    ( ( ( op2 @ e22 @ e22 )
      = e23 )
   <= ( ( op2 @ e22 @ e22 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl1513,plain,
    ( ( ( op2 @ e22 @ e22 )
      = e21 )
   <= ( ( op2 @ e22 @ e22 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl24927,plain,
    ( ( e23 = e21 )
   <= ( ( ( op2 @ e22 @ e22 )
        = e21 )
      & ( ( op2 @ e22 @ e22 )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1515,zip_derived_cl1513]) ).

thf(zip_derived_cl199_347,plain,
    e21 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('236',plain,
    ( ( ( op2 @ e22 @ e22 )
     != e21 )
    | ( ( op2 @ e22 @ e22 )
     != e23 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl24927,zip_derived_cl199]) ).

thf(zip_derived_cl572,plain,
    ( ( ( h2 @ e13 )
     != e23 )
    | ( ( h2 @ e12 )
     != e22 )
    | ( ( h2 @ e11 )
     != e21 )
    | ( ( h2 @ e10 )
     != e20 )
    | ( ( h2 @ ( op1 @ e13 @ e13 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
    | ( ( h2 @ ( op1 @ e13 @ e12 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
    | ( ( h2 @ ( op1 @ e13 @ e11 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
    | ( ( h2 @ ( op1 @ e13 @ e10 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
    | ( ( h2 @ ( op1 @ e12 @ e13 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
    | ( ( h2 @ ( op1 @ e12 @ e12 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
    | ( ( h2 @ ( op1 @ e12 @ e11 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
    | ( ( h2 @ ( op1 @ e12 @ e10 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
    | ( ( h2 @ ( op1 @ e11 @ e13 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
    | ( ( h2 @ ( op1 @ e11 @ e12 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
    | ( ( h2 @ ( op1 @ e11 @ e11 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
    | ( ( h2 @ ( op1 @ e11 @ e10 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
    | ( ( h2 @ ( op1 @ e10 @ e13 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
    | ( ( h2 @ ( op1 @ e10 @ e12 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
    | ( ( h2 @ ( op1 @ e10 @ e11 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
    | ( ( h2 @ ( op1 @ e10 @ e10 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf('237',plain,
    ( ( ( h2 @ ( op1 @ e13 @ e12 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
    | ( ( h2 @ ( op1 @ e10 @ e12 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
    | ( ( h2 @ e12 )
     != e22 )
    | ( ( h2 @ ( op1 @ e10 @ e13 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
    | ( ( h2 @ e11 )
     != e21 )
    | ( ( h2 @ e10 )
     != e20 )
    | ( ( h2 @ ( op1 @ e13 @ e13 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
    | ( ( h2 @ ( op1 @ e13 @ e10 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
    | ( ( h2 @ ( op1 @ e11 @ e13 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
    | ( ( h2 @ ( op1 @ e11 @ e12 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
    | ( ( h2 @ ( op1 @ e13 @ e11 ) )
     != ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
    | ( ( h2 @ ( op1 @ e10 @ e10 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) )
    | ( ( h2 @ ( op1 @ e11 @ e11 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
    | ( ( h2 @ ( op1 @ e11 @ e10 ) )
     != ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
    | ( ( h2 @ ( op1 @ e12 @ e11 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
    | ( ( h2 @ ( op1 @ e10 @ e11 ) )
     != ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
    | ( ( h2 @ ( op1 @ e12 @ e12 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
    | ( ( h2 @ ( op1 @ e12 @ e10 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
    | ( ( h2 @ ( op1 @ e12 @ e13 ) )
     != ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
    | ( ( h2 @ e13 )
     != e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl572]) ).

thf(zip_derived_cl1531_348,plain,
    ( ( ( op2 @ e21 @ e22 )
      = e23 )
   <= ( ( op2 @ e21 @ e22 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl160,plain,
    ( ( op2 @ e21 @ e20 )
   != ( op2 @ e21 @ e22 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl27398_349,plain,
    ( e23
    = ( op2 @ e21 @ e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22552,zip_derived_cl22557]) ).

thf(zip_derived_cl27400,plain,
    ( e23
   != ( op2 @ e21 @ e22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl27398]) ).

thf(zip_derived_cl27467,plain,
    ( ( e23 != e23 )
   <= ( ( op2 @ e21 @ e22 )
      = e23 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl27400]) ).

thf('238',plain,
    ( ( op2 @ e21 @ e22 )
   != e23 ),
    inference(simplify,[status(thm)],[zip_derived_cl27467]) ).

thf(zip_derived_cl84,plain,
    ( ( ( op2 @ e23 @ e21 )
      = e21 )
    | ( ( op2 @ e22 @ e21 )
      = e21 )
    | ( ( op2 @ e21 @ e21 )
      = e21 )
    | ( ( op2 @ e20 @ e21 )
      = e21 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf('239',plain,
    ( ( ( op2 @ e23 @ e21 )
      = e21 )
    | ( ( op2 @ e20 @ e21 )
      = e21 )
    | ( ( op2 @ e22 @ e21 )
      = e21 )
    | ( ( op2 @ e21 @ e21 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl84]) ).

thf(zip_derived_cl1517,plain,
    ( ( ( op2 @ e22 @ e21 )
      = e21 )
   <= ( ( op2 @ e22 @ e21 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl22557_350,plain,
    ( e20
    = ( op2 @ e22 @ e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl258]) ).

thf(zip_derived_cl24945,plain,
    ( ( e20 = e21 )
   <= ( ( op2 @ e22 @ e21 )
      = e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1517,zip_derived_cl22557]) ).

thf(zip_derived_cl203_351,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax8]) ).

thf('240',plain,
    ( ( op2 @ e22 @ e21 )
   != e21 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl24945,zip_derived_cl203]) ).

thf(zip_derived_cl1533,plain,
    ( ( ( op2 @ e21 @ e21 )
      = e21 )
   <= ( ( op2 @ e21 @ e21 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl258_352,plain,
    ( e22
    = ( op2 @ e21 @ e21 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl25081,plain,
    ( ( e22 = e21 )
   <= ( ( op2 @ e21 @ e21 )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl258]) ).

thf(zip_derived_cl200_353,plain,
    e21 != e22,
    inference(cnf,[status(esa)],[ax8]) ).

thf('241',plain,
    ( ( op2 @ e21 @ e21 )
   != e21 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl25081,zip_derived_cl200]) ).

thf(zip_derived_cl1503_354,plain,
    ( ( ( op2 @ e23 @ e21 )
      = e23 )
   <= ( ( op2 @ e23 @ e21 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1499_355,plain,
    ( ( ( op2 @ e23 @ e22 )
      = e23 )
   <= ( ( op2 @ e23 @ e22 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl146,plain,
    ( ( op2 @ e23 @ e21 )
   != ( op2 @ e23 @ e22 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl24759,plain,
    ( ( ( op2 @ e23 @ e21 )
     != e23 )
   <= ( ( op2 @ e23 @ e22 )
      = e23 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1499,zip_derived_cl146]) ).

thf(zip_derived_cl27027,plain,
    ( ( e23 != e23 )
   <= ( ( ( op2 @ e23 @ e22 )
        = e23 )
      & ( ( op2 @ e23 @ e21 )
        = e23 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1503,zip_derived_cl24759]) ).

thf('242',plain,
    ( ( ( op2 @ e23 @ e21 )
     != e23 )
    | ( ( op2 @ e23 @ e22 )
     != e23 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27027]) ).

thf(zip_derived_cl1503_356,plain,
    ( ( ( op2 @ e23 @ e21 )
      = e23 )
   <= ( ( op2 @ e23 @ e21 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1501_357,plain,
    ( ( ( op2 @ e23 @ e21 )
      = e21 )
   <= ( ( op2 @ e23 @ e21 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl24804,plain,
    ( ( e23 = e21 )
   <= ( ( ( op2 @ e23 @ e21 )
        = e21 )
      & ( ( op2 @ e23 @ e21 )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1503,zip_derived_cl1501]) ).

thf(zip_derived_cl199_358,plain,
    e21 != e23,
    inference(cnf,[status(esa)],[ax8]) ).

thf('243',plain,
    ( ( ( op2 @ e23 @ e21 )
     != e23 )
    | ( ( op2 @ e23 @ e21 )
     != e21 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl24804,zip_derived_cl199]) ).

thf('244',plain,
    ( ( ( op2 @ e23 @ e20 )
      = e22 )
    | ( ( op2 @ e23 @ e20 )
      = e20 )
    | ( ( op2 @ e23 @ e20 )
      = e23 )
    | ( ( op2 @ e23 @ e20 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl65,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e23 )
    | ( ( op2 @ e23 @ e22 )
      = e23 )
    | ( ( op2 @ e23 @ e21 )
      = e23 )
    | ( ( op2 @ e23 @ e20 )
      = e23 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf('245',plain,
    ( ( ( op2 @ e23 @ e22 )
      = e23 )
    | ( ( op2 @ e23 @ e21 )
      = e23 )
    | ( ( op2 @ e23 @ e20 )
      = e23 )
    | ( ( op2 @ e23 @ e23 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl1499_359,plain,
    ( ( ( op2 @ e23 @ e22 )
      = e23 )
   <= ( ( op2 @ e23 @ e22 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl1737_360,plain,
    ( ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
      = e23 )
   <= ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl245]) ).

thf(zip_derived_cl26844,plain,
    ( ( ( op2 @ e23 @ e23 )
      = e23 )
   <= ( ( ( op2 @ e23 @ e22 )
        = e23 )
      & ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1499,zip_derived_cl1737]) ).

thf(zip_derived_cl144_361,plain,
    ( ( op2 @ e23 @ e22 )
   != ( op2 @ e23 @ e23 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl29615,plain,
    ( ( ( op2 @ e23 @ e22 )
     != e23 )
   <= ( ( ( op2 @ e23 @ e22 )
        = e23 )
      & ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
        = e23 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26844,zip_derived_cl144]) ).

thf(zip_derived_cl1499_362,plain,
    ( ( ( op2 @ e23 @ e22 )
      = e23 )
   <= ( ( op2 @ e23 @ e22 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl29632,plain,
    ( ( e23 != e23 )
   <= ( ( ( op2 @ e23 @ e22 )
        = e23 )
      & ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
        = e23 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl29615,zip_derived_cl1499]) ).

thf('246',plain,
    ( ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
     != e23 )
    | ( ( op2 @ e23 @ e22 )
     != e23 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl29632]) ).

thf('247',plain,
    ( ~ zip_tseitin_6
    | ( ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl245]) ).

thf(zf_stmt_14,type,
    zip_tseitin_7: $o ).

thf(zf_stmt_15,type,
    zip_tseitin_6: $o ).

thf(zf_stmt_16,type,
    zip_tseitin_5: $o ).

thf(zf_stmt_17,type,
    zip_tseitin_4: $o ).

thf(zf_stmt_18,axiom,
    ( zip_tseitin_7
    | zip_tseitin_6
    | zip_tseitin_5
    | zip_tseitin_4 ) ).

thf(zip_derived_cl253,plain,
    ( zip_tseitin_7
    | zip_tseitin_6
    | zip_tseitin_5
    | zip_tseitin_4 ),
    inference(cnf,[status(esa)],[zf_stmt_18]) ).

thf('248',plain,
    ( zip_tseitin_6
    | zip_tseitin_4
    | zip_tseitin_5
    | zip_tseitin_7 ),
    inference(split,[status(esa)],[zip_derived_cl253]) ).

thf(zip_derived_cl50874,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','103','112','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','135','136','140','141','142','143','144','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','106','25','107','101','108','26','27','28','29','87','91','93','186','98','187','188','189','190','191','30','31','32','33','34','35','36','37','38','39','89','40','95','192','42','43','193','45','46','47','48','49','94','50','51','52','92','53','54','55','56','57','58','59','60','61','97','62','63','194','90','65','66','67','68','69','88','76','77','78','79','80','81','82','83','84','85','86','100','71','72','73','74','75','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG112+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tsi3hrj4Ha true
% 0.13/0.34  % Computer : n010.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Aug 28 04:06:19 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.23/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 39.18/6.23  % Solved by fo/fo1_av.sh.
% 39.18/6.23  % done 26935 iterations in 5.406s
% 39.18/6.23  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 39.18/6.23  % SZS output start Refutation
% See solution above
% 39.18/6.25  
% 39.18/6.25  
% 39.18/6.25  % Terminating...
% 39.18/6.25  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 39.83/6.47  % Runner terminated.
% 39.86/6.49  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------