TSTP Solution File: SYN466+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN466+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Gt7RnindbN true

% Computer : n013.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 : Fri Sep  1 04:03:47 EDT 2023

% Result   : Theorem 5.92s 1.58s
% Output   : Refutation 5.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   70
% Syntax   : Number of formulae    :  575 (   1 unt;  69 typ;   0 def)
%            Number of atoms       : 3657 (   0 equ;   0 cnn)
%            Maximal formula atoms :  673 (   7 avg)
%            Number of connectives : 7858 (1919   ~;2244   |; 474   &;2788   @)
%                                         (   0 <=>; 208  =>; 225  <=;   0 <~>)
%            Maximal formula depth :  103 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   70 (  69 usr;  66 con; 0-1 aty)
%            Number of variables   :  637 (   0   ^; 637   !;   0   ?; 637   :)

% Comments : 
%------------------------------------------------------------------------------
thf(hskp2_type,type,
    hskp2: $o ).

thf(a104_type,type,
    a104: $i ).

thf(hskp10_type,type,
    hskp10: $o ).

thf(a131_type,type,
    a131: $i ).

thf(a112_type,type,
    a112: $i ).

thf(a153_type,type,
    a153: $i ).

thf(a118_type,type,
    a118: $i ).

thf(a126_type,type,
    a126: $i ).

thf(hskp25_type,type,
    hskp25: $o ).

thf(c3_1_type,type,
    c3_1: $i > $o ).

thf(a101_type,type,
    a101: $i ).

thf(hskp31_type,type,
    hskp31: $o ).

thf(a107_type,type,
    a107: $i ).

thf(hskp1_type,type,
    hskp1: $o ).

thf(hskp8_type,type,
    hskp8: $o ).

thf(hskp16_type,type,
    hskp16: $o ).

thf(a102_type,type,
    a102: $i ).

thf(hskp29_type,type,
    hskp29: $o ).

thf(hskp21_type,type,
    hskp21: $o ).

thf(a105_type,type,
    a105: $i ).

thf(a135_type,type,
    a135: $i ).

thf(a145_type,type,
    a145: $i ).

thf(a128_type,type,
    a128: $i ).

thf(c2_1_type,type,
    c2_1: $i > $o ).

thf(hskp24_type,type,
    hskp24: $o ).

thf(c1_1_type,type,
    c1_1: $i > $o ).

thf(a111_type,type,
    a111: $i ).

thf(hskp22_type,type,
    hskp22: $o ).

thf(hskp30_type,type,
    hskp30: $o ).

thf(hskp9_type,type,
    hskp9: $o ).

thf(hskp27_type,type,
    hskp27: $o ).

thf(a141_type,type,
    a141: $i ).

thf(hskp17_type,type,
    hskp17: $o ).

thf(a110_type,type,
    a110: $i ).

thf(a113_type,type,
    a113: $i ).

thf(a134_type,type,
    a134: $i ).

thf(a143_type,type,
    a143: $i ).

thf(a187_type,type,
    a187: $i ).

thf(a132_type,type,
    a132: $i ).

thf(a117_type,type,
    a117: $i ).

thf(hskp18_type,type,
    hskp18: $o ).

thf(a139_type,type,
    a139: $i ).

thf(hskp13_type,type,
    hskp13: $o ).

thf(hskp19_type,type,
    hskp19: $o ).

thf(a108_type,type,
    a108: $i ).

thf(ndr1_0_type,type,
    ndr1_0: $o ).

thf(a167_type,type,
    a167: $i ).

thf(a109_type,type,
    a109: $i ).

thf(a114_type,type,
    a114: $i ).

thf(hskp7_type,type,
    hskp7: $o ).

thf(hskp12_type,type,
    hskp12: $o ).

thf(a116_type,type,
    a116: $i ).

thf(hskp0_type,type,
    hskp0: $o ).

thf(hskp11_type,type,
    hskp11: $o ).

thf(a106_type,type,
    a106: $i ).

thf(hskp14_type,type,
    hskp14: $o ).

thf(hskp26_type,type,
    hskp26: $o ).

thf(a163_type,type,
    a163: $i ).

thf(hskp20_type,type,
    hskp20: $o ).

thf(hskp3_type,type,
    hskp3: $o ).

thf(hskp23_type,type,
    hskp23: $o ).

thf(hskp15_type,type,
    hskp15: $o ).

thf(a103_type,type,
    a103: $i ).

thf(a196_type,type,
    a196: $i ).

thf(hskp5_type,type,
    hskp5: $o ).

thf(c0_1_type,type,
    c0_1: $i > $o ).

thf(hskp6_type,type,
    hskp6: $o ).

thf(hskp28_type,type,
    hskp28: $o ).

thf(hskp4_type,type,
    hskp4: $o ).

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c2_1 @ a101 )
          & ( c3_1 @ a101 )
          & ~ ( c0_1 @ a101 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c2_1 @ a102 )
          & ~ ( c0_1 @ a102 )
          & ~ ( c1_1 @ a102 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c0_1 @ a103 )
          & ( c1_1 @ a103 )
          & ~ ( c3_1 @ a103 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c0_1 @ a104 )
          & ( c2_1 @ a104 )
          & ~ ( c1_1 @ a104 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c2_1 @ a105 )
          & ( c3_1 @ a105 )
          & ~ ( c1_1 @ a105 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c0_1 @ a106 )
          & ( c1_1 @ a106 )
          & ~ ( c2_1 @ a106 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c1_1 @ a107 )
          & ( c2_1 @ a107 )
          & ~ ( c0_1 @ a107 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c1_1 @ a108 )
          & ( c3_1 @ a108 )
          & ~ ( c0_1 @ a108 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c1_1 @ a109 )
          & ~ ( c0_1 @ a109 )
          & ~ ( c3_1 @ a109 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c2_1 @ a110 )
          & ~ ( c1_1 @ a110 )
          & ~ ( c3_1 @ a110 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ ( c0_1 @ a111 )
          & ~ ( c2_1 @ a111 )
          & ~ ( c3_1 @ a111 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c1_1 @ a112 )
          & ~ ( c2_1 @ a112 )
          & ~ ( c3_1 @ a112 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c3_1 @ a113 )
          & ~ ( c0_1 @ a113 )
          & ~ ( c2_1 @ a113 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c1_1 @ a114 )
          & ( c2_1 @ a114 )
          & ~ ( c3_1 @ a114 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c0_1 @ a116 )
          & ( c2_1 @ a116 )
          & ~ ( c3_1 @ a116 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c0_1 @ a117 )
          & ( c3_1 @ a117 )
          & ~ ( c1_1 @ a117 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c1_1 @ a126 )
          & ( c3_1 @ a126 )
          & ~ ( c2_1 @ a126 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c3_1 @ a132 )
          & ~ ( c0_1 @ a132 )
          & ~ ( c1_1 @ a132 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c0_1 @ a134 )
          & ( c3_1 @ a134 )
          & ~ ( c2_1 @ a134 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c0_1 @ a135 )
          & ~ ( c2_1 @ a135 )
          & ~ ( c3_1 @ a135 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c0_1 @ a139 )
          & ~ ( c1_1 @ a139 )
          & ~ ( c3_1 @ a139 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c3_1 @ a143 )
          & ~ ( c1_1 @ a143 )
          & ~ ( c2_1 @ a143 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ ( c0_1 @ a145 )
          & ~ ( c1_1 @ a145 )
          & ~ ( c2_1 @ a145 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ ( c0_1 @ a153 )
          & ~ ( c1_1 @ a153 )
          & ~ ( c3_1 @ a153 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ ( c1_1 @ a163 )
          & ~ ( c2_1 @ a163 )
          & ~ ( c3_1 @ a163 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c1_1 @ a167 )
          & ~ ( c0_1 @ a167 )
          & ~ ( c2_1 @ a167 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a187 )
          & ~ ( c1_1 @ a187 )
          & ~ ( c2_1 @ a187 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c2_1 @ a196 )
          & ~ ( c0_1 @ a196 )
          & ~ ( c3_1 @ a196 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c1_1 @ a118 )
          & ( c2_1 @ a118 )
          & ( c3_1 @ a118 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a128 )
          & ( c1_1 @ a128 )
          & ( c2_1 @ a128 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a131 )
          & ( c2_1 @ a131 )
          & ( c3_1 @ a131 ) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & ( c0_1 @ a141 )
          & ( c1_1 @ a141 )
          & ( c3_1 @ a141 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c1_1 @ V )
              | ~ ( c2_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ W )
              | ~ ( c2_1 @ W )
              | ~ ( c3_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c1_1 @ Y )
              | ~ ( c3_1 @ Y ) ) )
        | hskp0 )
      & ( ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c1_1 @ Z )
              | ( c2_1 @ Z ) ) )
        | ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ~ ( c2_1 @ X1 )
              | ~ ( c3_1 @ X1 ) ) )
        | hskp1 )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c2_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X3 )
              | ~ ( c1_1 @ X3 )
              | ~ ( c3_1 @ X3 ) ) )
        | hskp2 )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c1_1 @ X4 )
              | ( c2_1 @ X4 ) ) )
        | hskp3
        | hskp4 )
      & ( ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ( c3_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c3_1 @ X6 )
              | ~ ( c2_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X7 )
              | ~ ( c0_1 @ X7 )
              | ~ ( c2_1 @ X7 ) ) ) )
      & ( ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ( c1_1 @ X8 )
              | ( c3_1 @ X8 ) ) )
        | hskp5 )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ( c3_1 @ X9 ) ) )
        | hskp6
        | hskp7 )
      & ( ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ( c3_1 @ X10 ) ) )
        | hskp8
        | hskp9 )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c1_1 @ X11 )
              | ~ ( c2_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X12 )
              | ~ ( c1_1 @ X12 )
              | ~ ( c3_1 @ X12 ) ) )
        | hskp10 )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c1_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ( c2_1 @ X14 )
              | ~ ( c3_1 @ X14 ) ) )
        | ! [X15: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X15 )
              | ~ ( c1_1 @ X15 )
              | ~ ( c3_1 @ X15 ) ) ) )
      & ( ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ( c1_1 @ X16 )
              | ~ ( c3_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X17 )
              | ( c2_1 @ X17 )
              | ~ ( c0_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X18 )
              | ~ ( c0_1 @ X18 )
              | ~ ( c1_1 @ X18 ) ) ) )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c1_1 @ X19 )
              | ~ ( c3_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X20 )
              | ( c3_1 @ X20 )
              | ~ ( c1_1 @ X20 ) ) )
        | hskp11 )
      & ( ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c1_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X22 )
              | ~ ( c0_1 @ X22 )
              | ~ ( c2_1 @ X22 ) ) )
        | hskp12 )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c1_1 @ X23 )
              | ~ ( c3_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X24 )
              | ~ ( c2_1 @ X24 )
              | ~ ( c3_1 @ X24 ) ) )
        | ! [X25: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X25 )
              | ~ ( c2_1 @ X25 )
              | ~ ( c3_1 @ X25 ) ) ) )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c2_1 @ X26 )
              | ( c3_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X27 )
              | ~ ( c1_1 @ X27 )
              | ~ ( c3_1 @ X27 ) ) )
        | hskp13 )
      & ( ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c2_1 @ X28 )
              | ~ ( c1_1 @ X28 ) ) )
        | ! [X29: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X29 )
              | ( c2_1 @ X29 )
              | ~ ( c3_1 @ X29 ) ) )
        | hskp6 )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ( c2_1 @ X30 )
              | ~ ( c3_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X31 )
              | ~ ( c0_1 @ X31 )
              | ~ ( c2_1 @ X31 ) ) )
        | hskp14 )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c2_1 @ X32 )
              | ~ ( c3_1 @ X32 ) ) )
        | hskp15
        | hskp28 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c3_1 @ X33 )
              | ~ ( c1_1 @ X33 ) ) )
        | ! [X34: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X34 )
              | ( c2_1 @ X34 )
              | ~ ( c3_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X35 )
              | ~ ( c0_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) ) )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c3_1 @ X36 )
              | ~ ( c1_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X37 )
              | ( c3_1 @ X37 )
              | ~ ( c0_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X38 )
              | ~ ( c1_1 @ X38 )
              | ~ ( c2_1 @ X38 ) ) ) )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ( c3_1 @ X39 )
              | ~ ( c1_1 @ X39 ) ) )
        | ! [X40: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X40 )
              | ~ ( c1_1 @ X40 )
              | ~ ( c3_1 @ X40 ) ) )
        | hskp8 )
      & ( ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ( c3_1 @ X41 )
              | ~ ( c1_1 @ X41 ) ) )
        | hskp15
        | hskp10 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ( c3_1 @ X42 )
              | ~ ( c2_1 @ X42 ) ) )
        | hskp15
        | hskp0 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ~ ( c1_1 @ X43 )
              | ~ ( c2_1 @ X43 ) ) )
        | hskp2
        | hskp7 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ~ ( c2_1 @ X44 )
              | ~ ( c3_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X45 )
              | ( c2_1 @ X45 )
              | ( c3_1 @ X45 ) ) )
        | hskp16 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ~ ( c2_1 @ X46 )
              | ~ ( c3_1 @ X46 ) ) )
        | ! [X47: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X47 )
              | ~ ( c0_1 @ X47 )
              | ~ ( c2_1 @ X47 ) ) )
        | hskp10 )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ~ ( c2_1 @ X48 )
              | ~ ( c3_1 @ X48 ) ) )
        | hskp29
        | hskp11 )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X49 )
              | ( c2_1 @ X49 )
              | ( c3_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X50 )
              | ( c3_1 @ X50 )
              | ~ ( c0_1 @ X50 ) ) )
        | ! [X51: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X51 )
              | ~ ( c2_1 @ X51 )
              | ~ ( c3_1 @ X51 ) ) ) )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X52 )
              | ( c2_1 @ X52 )
              | ~ ( c0_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X53 )
              | ( c2_1 @ X53 )
              | ~ ( c3_1 @ X53 ) ) )
        | hskp16 )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X54 )
              | ( c2_1 @ X54 )
              | ~ ( c0_1 @ X54 ) ) )
        | ! [X55: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X55 )
              | ( c3_1 @ X55 )
              | ~ ( c2_1 @ X55 ) ) )
        | hskp30 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X56 )
              | ( c2_1 @ X56 )
              | ~ ( c0_1 @ X56 ) ) )
        | ! [X57: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X57 )
              | ~ ( c0_1 @ X57 )
              | ~ ( c1_1 @ X57 ) ) )
        | hskp17 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X58 )
              | ( c2_1 @ X58 )
              | ~ ( c0_1 @ X58 ) ) )
        | ! [X59: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X59 )
              | ~ ( c1_1 @ X59 )
              | ~ ( c2_1 @ X59 ) ) )
        | hskp7 )
      & ( ! [X60: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X60 )
              | ( c3_1 @ X60 )
              | ~ ( c0_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X61 )
              | ~ ( c1_1 @ X61 )
              | ~ ( c3_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X62 )
              | ~ ( c2_1 @ X62 )
              | ~ ( c3_1 @ X62 ) ) ) )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X63 )
              | ( c3_1 @ X63 )
              | ~ ( c0_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X64 )
              | ~ ( c1_1 @ X64 )
              | ~ ( c2_1 @ X64 ) ) )
        | hskp18 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ( c3_1 @ X65 )
              | ~ ( c2_1 @ X65 ) ) )
        | hskp19
        | hskp17 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ( c3_1 @ X66 )
              | ~ ( c2_1 @ X66 ) ) )
        | hskp28
        | hskp17 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ~ ( c0_1 @ X67 )
              | ~ ( c2_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ~ ( c0_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | hskp20 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X69 )
              | ~ ( c0_1 @ X69 )
              | ~ ( c2_1 @ X69 ) ) )
        | ! [X70: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X70 )
              | ~ ( c0_1 @ X70 )
              | ~ ( c1_1 @ X70 ) ) )
        | ! [X71: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X71 )
              | ~ ( c0_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) ) )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ~ ( c0_1 @ X72 )
              | ~ ( c2_1 @ X72 ) ) )
        | ! [X73: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X73 )
              | ~ ( c0_1 @ X73 )
              | ~ ( c2_1 @ X73 ) ) )
        | hskp17 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X74 )
              | ~ ( c0_1 @ X74 )
              | ~ ( c2_1 @ X74 ) ) )
        | ! [X75: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X75 )
              | ~ ( c1_1 @ X75 )
              | ~ ( c2_1 @ X75 ) ) )
        | hskp31 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X76 )
              | ~ ( c0_1 @ X76 )
              | ~ ( c2_1 @ X76 ) ) )
        | hskp29
        | hskp21 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X77 )
              | ~ ( c0_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X78 )
              | ~ ( c2_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | hskp17 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X79 )
              | ~ ( c0_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) )
        | ! [X80: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X80 )
              | ~ ( c0_1 @ X80 )
              | ~ ( c1_1 @ X80 ) ) )
        | hskp22 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X81 )
              | ~ ( c0_1 @ X81 )
              | ~ ( c3_1 @ X81 ) ) )
        | hskp31
        | hskp28 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ~ ( c0_1 @ X82 )
              | ~ ( c3_1 @ X82 ) ) )
        | hskp15
        | hskp28 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X83 )
              | ~ ( c0_1 @ X83 )
              | ~ ( c3_1 @ X83 ) ) )
        | hskp28
        | hskp11 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X84 )
              | ~ ( c0_1 @ X84 )
              | ~ ( c3_1 @ X84 ) ) )
        | hskp4
        | hskp23 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X85 )
              | ~ ( c0_1 @ X85 )
              | ~ ( c3_1 @ X85 ) ) )
        | hskp4
        | hskp10 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X86 )
              | ( c3_1 @ X86 )
              | ~ ( c0_1 @ X86 ) ) )
        | hskp19
        | hskp8 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X87 )
              | ( c3_1 @ X87 )
              | ~ ( c1_1 @ X87 ) ) )
        | hskp19 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X88 )
              | ~ ( c0_1 @ X88 )
              | ~ ( c1_1 @ X88 ) ) )
        | ! [X89: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X89 )
              | ~ ( c1_1 @ X89 )
              | ~ ( c2_1 @ X89 ) ) )
        | hskp12 )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X90 )
              | ~ ( c0_1 @ X90 )
              | ~ ( c1_1 @ X90 ) ) )
        | hskp29
        | hskp4 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X91 )
              | ~ ( c0_1 @ X91 )
              | ~ ( c1_1 @ X91 ) ) )
        | hskp1
        | hskp24 )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X92 )
              | ~ ( c0_1 @ X92 )
              | ~ ( c3_1 @ X92 ) ) )
        | hskp6
        | hskp16 )
      & ( ! [X93: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X93 )
              | ~ ( c1_1 @ X93 )
              | ~ ( c3_1 @ X93 ) ) )
        | ! [X94: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X94 )
              | ~ ( c2_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) )
        | hskp1 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X95 )
              | ~ ( c0_1 @ X95 )
              | ~ ( c1_1 @ X95 ) ) )
        | hskp25
        | hskp0 )
      & ( ! [X96: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X96 )
              | ~ ( c1_1 @ X96 )
              | ~ ( c2_1 @ X96 ) ) )
        | hskp13
        | hskp4 )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X97 )
              | ~ ( c2_1 @ X97 )
              | ~ ( c3_1 @ X97 ) ) )
        | hskp19
        | hskp11 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X98 )
              | ~ ( c2_1 @ X98 )
              | ~ ( c3_1 @ X98 ) ) )
        | hskp25
        | hskp0 )
      & ( hskp31
        | hskp30
        | hskp24 )
      & ( hskp5
        | hskp15
        | hskp13 )
      & ( hskp5
        | hskp16
        | hskp25 )
      & ( hskp5
        | hskp4
        | hskp9 )
      & ( hskp26
        | hskp7
        | hskp0 )
      & ( hskp26
        | hskp11
        | hskp4 )
      & ( hskp25
        | hskp8 )
      & ( hskp25
        | hskp27
        | hskp24 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c2_1 @ a101 )
        & ( c3_1 @ a101 )
        & ~ ( c0_1 @ a101 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c2_1 @ a102 )
        & ~ ( c0_1 @ a102 )
        & ~ ( c1_1 @ a102 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c0_1 @ a103 )
        & ( c1_1 @ a103 )
        & ~ ( c3_1 @ a103 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c0_1 @ a104 )
        & ( c2_1 @ a104 )
        & ~ ( c1_1 @ a104 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c2_1 @ a105 )
        & ( c3_1 @ a105 )
        & ~ ( c1_1 @ a105 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c0_1 @ a106 )
        & ( c1_1 @ a106 )
        & ~ ( c2_1 @ a106 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c1_1 @ a107 )
        & ( c2_1 @ a107 )
        & ~ ( c0_1 @ a107 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c1_1 @ a108 )
        & ( c3_1 @ a108 )
        & ~ ( c0_1 @ a108 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c1_1 @ a109 )
        & ~ ( c0_1 @ a109 )
        & ~ ( c3_1 @ a109 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c2_1 @ a110 )
        & ~ ( c1_1 @ a110 )
        & ~ ( c3_1 @ a110 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ ( c0_1 @ a111 )
        & ~ ( c2_1 @ a111 )
        & ~ ( c3_1 @ a111 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c1_1 @ a112 )
        & ~ ( c2_1 @ a112 )
        & ~ ( c3_1 @ a112 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c3_1 @ a113 )
        & ~ ( c0_1 @ a113 )
        & ~ ( c2_1 @ a113 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c1_1 @ a114 )
        & ( c2_1 @ a114 )
        & ~ ( c3_1 @ a114 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c0_1 @ a116 )
        & ( c2_1 @ a116 )
        & ~ ( c3_1 @ a116 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c0_1 @ a117 )
        & ( c3_1 @ a117 )
        & ~ ( c1_1 @ a117 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c1_1 @ a126 )
        & ( c3_1 @ a126 )
        & ~ ( c2_1 @ a126 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c3_1 @ a132 )
        & ~ ( c0_1 @ a132 )
        & ~ ( c1_1 @ a132 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c0_1 @ a134 )
        & ( c3_1 @ a134 )
        & ~ ( c2_1 @ a134 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c0_1 @ a135 )
        & ~ ( c2_1 @ a135 )
        & ~ ( c3_1 @ a135 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c0_1 @ a139 )
        & ~ ( c1_1 @ a139 )
        & ~ ( c3_1 @ a139 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c3_1 @ a143 )
        & ~ ( c1_1 @ a143 )
        & ~ ( c2_1 @ a143 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ ( c0_1 @ a145 )
        & ~ ( c1_1 @ a145 )
        & ~ ( c2_1 @ a145 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ ( c0_1 @ a153 )
        & ~ ( c1_1 @ a153 )
        & ~ ( c3_1 @ a153 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ ( c1_1 @ a163 )
        & ~ ( c2_1 @ a163 )
        & ~ ( c3_1 @ a163 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c1_1 @ a167 )
        & ~ ( c0_1 @ a167 )
        & ~ ( c2_1 @ a167 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a187 )
        & ~ ( c1_1 @ a187 )
        & ~ ( c2_1 @ a187 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c2_1 @ a196 )
        & ~ ( c0_1 @ a196 )
        & ~ ( c3_1 @ a196 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c1_1 @ a118 )
        & ( c2_1 @ a118 )
        & ( c3_1 @ a118 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a128 )
        & ( c1_1 @ a128 )
        & ( c2_1 @ a128 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a131 )
        & ( c2_1 @ a131 )
        & ( c3_1 @ a131 ) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ( c0_1 @ a141 )
        & ( c1_1 @ a141 )
        & ( c3_1 @ a141 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c1_1 @ V )
            | ~ ( c2_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ W )
            | ~ ( c2_1 @ W )
            | ~ ( c3_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c1_1 @ Y )
            | ~ ( c3_1 @ Y ) ) )
      | hskp0 )
    & ( ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c1_1 @ Z )
            | ( c2_1 @ Z ) ) )
      | ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ~ ( c2_1 @ X1 )
            | ~ ( c3_1 @ X1 ) ) )
      | hskp1 )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c2_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X3 )
            | ~ ( c1_1 @ X3 )
            | ~ ( c3_1 @ X3 ) ) )
      | hskp2 )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c1_1 @ X4 )
            | ( c2_1 @ X4 ) ) )
      | hskp3
      | hskp4 )
    & ( ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ( c3_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c3_1 @ X6 )
            | ~ ( c2_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X7 )
            | ~ ( c0_1 @ X7 )
            | ~ ( c2_1 @ X7 ) ) ) )
    & ( ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ( c1_1 @ X8 )
            | ( c3_1 @ X8 ) ) )
      | hskp5 )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ( c3_1 @ X9 ) ) )
      | hskp6
      | hskp7 )
    & ( ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ( c3_1 @ X10 ) ) )
      | hskp8
      | hskp9 )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c1_1 @ X11 )
            | ~ ( c2_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X12 )
            | ~ ( c1_1 @ X12 )
            | ~ ( c3_1 @ X12 ) ) )
      | hskp10 )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c1_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ( c2_1 @ X14 )
            | ~ ( c3_1 @ X14 ) ) )
      | ! [X15: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X15 )
            | ~ ( c1_1 @ X15 )
            | ~ ( c3_1 @ X15 ) ) ) )
    & ( ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ( c1_1 @ X16 )
            | ~ ( c3_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X17 )
            | ( c2_1 @ X17 )
            | ~ ( c0_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X18 )
            | ~ ( c0_1 @ X18 )
            | ~ ( c1_1 @ X18 ) ) ) )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c1_1 @ X19 )
            | ~ ( c3_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X20 )
            | ( c3_1 @ X20 )
            | ~ ( c1_1 @ X20 ) ) )
      | hskp11 )
    & ( ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c1_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X22 )
            | ~ ( c0_1 @ X22 )
            | ~ ( c2_1 @ X22 ) ) )
      | hskp12 )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c1_1 @ X23 )
            | ~ ( c3_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X24 )
            | ~ ( c2_1 @ X24 )
            | ~ ( c3_1 @ X24 ) ) )
      | ! [X25: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X25 )
            | ~ ( c2_1 @ X25 )
            | ~ ( c3_1 @ X25 ) ) ) )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c2_1 @ X26 )
            | ( c3_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X27 )
            | ~ ( c1_1 @ X27 )
            | ~ ( c3_1 @ X27 ) ) )
      | hskp13 )
    & ( ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c2_1 @ X28 )
            | ~ ( c1_1 @ X28 ) ) )
      | ! [X29: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X29 )
            | ( c2_1 @ X29 )
            | ~ ( c3_1 @ X29 ) ) )
      | hskp6 )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ( c2_1 @ X30 )
            | ~ ( c3_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X31 )
            | ~ ( c0_1 @ X31 )
            | ~ ( c2_1 @ X31 ) ) )
      | hskp14 )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c2_1 @ X32 )
            | ~ ( c3_1 @ X32 ) ) )
      | hskp15
      | hskp28 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c3_1 @ X33 )
            | ~ ( c1_1 @ X33 ) ) )
      | ! [X34: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X34 )
            | ( c2_1 @ X34 )
            | ~ ( c3_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X35 )
            | ~ ( c0_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) ) )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c3_1 @ X36 )
            | ~ ( c1_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X37 )
            | ( c3_1 @ X37 )
            | ~ ( c0_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X38 )
            | ~ ( c1_1 @ X38 )
            | ~ ( c2_1 @ X38 ) ) ) )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ( c3_1 @ X39 )
            | ~ ( c1_1 @ X39 ) ) )
      | ! [X40: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X40 )
            | ~ ( c1_1 @ X40 )
            | ~ ( c3_1 @ X40 ) ) )
      | hskp8 )
    & ( ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ( c3_1 @ X41 )
            | ~ ( c1_1 @ X41 ) ) )
      | hskp15
      | hskp10 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ( c3_1 @ X42 )
            | ~ ( c2_1 @ X42 ) ) )
      | hskp15
      | hskp0 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ~ ( c1_1 @ X43 )
            | ~ ( c2_1 @ X43 ) ) )
      | hskp2
      | hskp7 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ~ ( c2_1 @ X44 )
            | ~ ( c3_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X45 )
            | ( c2_1 @ X45 )
            | ( c3_1 @ X45 ) ) )
      | hskp16 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ~ ( c2_1 @ X46 )
            | ~ ( c3_1 @ X46 ) ) )
      | ! [X47: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X47 )
            | ~ ( c0_1 @ X47 )
            | ~ ( c2_1 @ X47 ) ) )
      | hskp10 )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ~ ( c2_1 @ X48 )
            | ~ ( c3_1 @ X48 ) ) )
      | hskp29
      | hskp11 )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X49 )
            | ( c2_1 @ X49 )
            | ( c3_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X50 )
            | ( c3_1 @ X50 )
            | ~ ( c0_1 @ X50 ) ) )
      | ! [X51: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X51 )
            | ~ ( c2_1 @ X51 )
            | ~ ( c3_1 @ X51 ) ) ) )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X52 )
            | ( c2_1 @ X52 )
            | ~ ( c0_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X53 )
            | ( c2_1 @ X53 )
            | ~ ( c3_1 @ X53 ) ) )
      | hskp16 )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X54 )
            | ( c2_1 @ X54 )
            | ~ ( c0_1 @ X54 ) ) )
      | ! [X55: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X55 )
            | ( c3_1 @ X55 )
            | ~ ( c2_1 @ X55 ) ) )
      | hskp30 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X56 )
            | ( c2_1 @ X56 )
            | ~ ( c0_1 @ X56 ) ) )
      | ! [X57: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X57 )
            | ~ ( c0_1 @ X57 )
            | ~ ( c1_1 @ X57 ) ) )
      | hskp17 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X58 )
            | ( c2_1 @ X58 )
            | ~ ( c0_1 @ X58 ) ) )
      | ! [X59: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X59 )
            | ~ ( c1_1 @ X59 )
            | ~ ( c2_1 @ X59 ) ) )
      | hskp7 )
    & ( ! [X60: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X60 )
            | ( c3_1 @ X60 )
            | ~ ( c0_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X61 )
            | ~ ( c1_1 @ X61 )
            | ~ ( c3_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X62 )
            | ~ ( c2_1 @ X62 )
            | ~ ( c3_1 @ X62 ) ) ) )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X63 )
            | ( c3_1 @ X63 )
            | ~ ( c0_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X64 )
            | ~ ( c1_1 @ X64 )
            | ~ ( c2_1 @ X64 ) ) )
      | hskp18 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ( c3_1 @ X65 )
            | ~ ( c2_1 @ X65 ) ) )
      | hskp19
      | hskp17 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ( c3_1 @ X66 )
            | ~ ( c2_1 @ X66 ) ) )
      | hskp28
      | hskp17 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ~ ( c0_1 @ X67 )
            | ~ ( c2_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ~ ( c0_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | hskp20 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X69 )
            | ~ ( c0_1 @ X69 )
            | ~ ( c2_1 @ X69 ) ) )
      | ! [X70: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X70 )
            | ~ ( c0_1 @ X70 )
            | ~ ( c1_1 @ X70 ) ) )
      | ! [X71: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X71 )
            | ~ ( c0_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) ) )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ~ ( c0_1 @ X72 )
            | ~ ( c2_1 @ X72 ) ) )
      | ! [X73: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X73 )
            | ~ ( c0_1 @ X73 )
            | ~ ( c2_1 @ X73 ) ) )
      | hskp17 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X74 )
            | ~ ( c0_1 @ X74 )
            | ~ ( c2_1 @ X74 ) ) )
      | ! [X75: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X75 )
            | ~ ( c1_1 @ X75 )
            | ~ ( c2_1 @ X75 ) ) )
      | hskp31 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X76 )
            | ~ ( c0_1 @ X76 )
            | ~ ( c2_1 @ X76 ) ) )
      | hskp29
      | hskp21 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X77 )
            | ~ ( c0_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X78 )
            | ~ ( c2_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | hskp17 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X79 )
            | ~ ( c0_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) )
      | ! [X80: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X80 )
            | ~ ( c0_1 @ X80 )
            | ~ ( c1_1 @ X80 ) ) )
      | hskp22 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X81 )
            | ~ ( c0_1 @ X81 )
            | ~ ( c3_1 @ X81 ) ) )
      | hskp31
      | hskp28 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ~ ( c0_1 @ X82 )
            | ~ ( c3_1 @ X82 ) ) )
      | hskp15
      | hskp28 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X83 )
            | ~ ( c0_1 @ X83 )
            | ~ ( c3_1 @ X83 ) ) )
      | hskp28
      | hskp11 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X84 )
            | ~ ( c0_1 @ X84 )
            | ~ ( c3_1 @ X84 ) ) )
      | hskp4
      | hskp23 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X85 )
            | ~ ( c0_1 @ X85 )
            | ~ ( c3_1 @ X85 ) ) )
      | hskp4
      | hskp10 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X86 )
            | ( c3_1 @ X86 )
            | ~ ( c0_1 @ X86 ) ) )
      | hskp19
      | hskp8 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X87 )
            | ( c3_1 @ X87 )
            | ~ ( c1_1 @ X87 ) ) )
      | hskp19 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X88 )
            | ~ ( c0_1 @ X88 )
            | ~ ( c1_1 @ X88 ) ) )
      | ! [X89: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X89 )
            | ~ ( c1_1 @ X89 )
            | ~ ( c2_1 @ X89 ) ) )
      | hskp12 )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X90 )
            | ~ ( c0_1 @ X90 )
            | ~ ( c1_1 @ X90 ) ) )
      | hskp29
      | hskp4 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X91 )
            | ~ ( c0_1 @ X91 )
            | ~ ( c1_1 @ X91 ) ) )
      | hskp1
      | hskp24 )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X92 )
            | ~ ( c0_1 @ X92 )
            | ~ ( c3_1 @ X92 ) ) )
      | hskp6
      | hskp16 )
    & ( ! [X93: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X93 )
            | ~ ( c1_1 @ X93 )
            | ~ ( c3_1 @ X93 ) ) )
      | ! [X94: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X94 )
            | ~ ( c2_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) )
      | hskp1 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X95 )
            | ~ ( c0_1 @ X95 )
            | ~ ( c1_1 @ X95 ) ) )
      | hskp25
      | hskp0 )
    & ( ! [X96: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X96 )
            | ~ ( c1_1 @ X96 )
            | ~ ( c2_1 @ X96 ) ) )
      | hskp13
      | hskp4 )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X97 )
            | ~ ( c2_1 @ X97 )
            | ~ ( c3_1 @ X97 ) ) )
      | hskp19
      | hskp11 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X98 )
            | ~ ( c2_1 @ X98 )
            | ~ ( c3_1 @ X98 ) ) )
      | hskp25
      | hskp0 )
    & ( hskp31
      | hskp30
      | hskp24 )
    & ( hskp5
      | hskp15
      | hskp13 )
    & ( hskp5
      | hskp16
      | hskp25 )
    & ( hskp5
      | hskp4
      | hskp9 )
    & ( hskp26
      | hskp7
      | hskp0 )
    & ( hskp26
      | hskp11
      | hskp4 )
    & ( hskp25
      | hskp8 )
    & ( hskp25
      | hskp27
      | hskp24 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl19,plain,
    ! [X13: $i] :
      ( ( c1_1 @ X13 )
      | ~ ( c0_1 @ X13 )
      | ~ ( c3_1 @ X13 )
      | ~ ndr1_0
      | hskp4
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( hskp4
    | hskp10
    | ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl71,plain,
    ( ~ hskp31
    | ( c3_1 @ a141 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl463,plain,
    ( ( c3_1 @ a141 )
   <= ( c3_1 @ a141 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl14,plain,
    ! [X7: $i] :
      ( ( c2_1 @ X7 )
      | ~ ( c0_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ndr1_0
      | hskp1
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl243,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp25
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl219,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl770,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl219]) ).

thf(zip_derived_cl773,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl770]) ).

thf(zip_derived_cl1414,plain,
    ( ( ~ ( c0_1 @ a141 )
      | ~ ( c1_1 @ a141 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
      & ( c3_1 @ a141 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl773]) ).

thf('1',plain,
    ( ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a141 )
    | ~ ( c1_1 @ a141 )
    | ~ ( c0_1 @ a141 ) ),
    inference(split,[status(esa)],[zip_derived_cl1414]) ).

thf(zip_derived_cl18,plain,
    ! [X12: $i] :
      ( ( c2_1 @ X12 )
      | ( c3_1 @ X12 )
      | ~ ( c0_1 @ X12 )
      | ~ ndr1_0
      | hskp19
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( hskp19
    | hskp8
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp19
    | ~ ( c2_1 @ a135 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl557,plain,
    ( ~ ( c2_1 @ a135 )
   <= ~ ( c2_1 @ a135 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl17,plain,
    ! [X11: $i] :
      ( ( c2_1 @ X11 )
      | ( c3_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl255,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl899,plain,
    ( ( ( c3_1 @ a135 )
      | ~ ( c1_1 @ a135 ) )
   <= ( ~ ( c2_1 @ a135 )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl557,zip_derived_cl255]) ).

thf('3',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c1_1 @ a135 )
    | ( c3_1 @ a135 )
    | ( c2_1 @ a135 ) ),
    inference(split,[status(esa)],[zip_derived_cl899]) ).

thf(zip_derived_cl48,plain,
    ! [X63: $i,X64: $i,X65: $i] :
      ( ( c0_1 @ X63 )
      | ( c3_1 @ X63 )
      | ~ ( c1_1 @ X63 )
      | ~ ndr1_0
      | ( c1_1 @ X64 )
      | ( c2_1 @ X64 )
      | ~ ( c3_1 @ X64 )
      | ~ ndr1_0
      | ( c1_1 @ X65 )
      | ~ ( c0_1 @ X65 )
      | ~ ( c3_1 @ X65 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( ! [X46: $i] :
        ( ( c1_1 @ X46 )
        | ( c2_1 @ X46 )
        | ~ ( c3_1 @ X46 ) )
    | ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c1_1 @ X57 ) )
    | ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp26
    | ~ ( c1_1 @ a187 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( ~ ( c1_1 @ a187 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl255_001,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp26
    | ~ ( c2_1 @ a187 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl503,plain,
    ( ~ ( c2_1 @ a187 )
   <= ~ ( c2_1 @ a187 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl849,plain,
    ( ( ~ ( c1_1 @ a187 )
      | ( c3_1 @ a187 ) )
   <= ( ~ ( c2_1 @ a187 )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl503]) ).

thf(zip_derived_cl2574,plain,
    ( ( c3_1 @ a187 )
   <= ( c3_1 @ a187 ) ),
    inference(split,[status(esa)],[zip_derived_cl849]) ).

thf(zip_derived_cl262,plain,
    ( ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl2582,plain,
    ( ( ( c1_1 @ a187 )
      | ~ ( c0_1 @ a187 ) )
   <= ( ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ( c3_1 @ a187 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2574,zip_derived_cl262]) ).

thf('6',plain,
    ( ~ ( c0_1 @ a187 )
    | ( c1_1 @ a187 )
    | ~ ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
    | ~ ( c3_1 @ a187 ) ),
    inference(split,[status(esa)],[zip_derived_cl2582]) ).

thf(zip_derived_cl59,plain,
    ! [X88: $i] :
      ( ( c0_1 @ X88 )
      | ( c1_1 @ X88 )
      | ( c3_1 @ X88 )
      | ~ ndr1_0
      | hskp8
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( hskp9
    | ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ( c3_1 @ X88 ) )
    | ~ ndr1_0
    | hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp9
    | ( c2_1 @ a110 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl635,plain,
    ( ( c2_1 @ a110 )
   <= ( c2_1 @ a110 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl44,plain,
    ! [X56: $i] :
      ( ( c0_1 @ X56 )
      | ( c3_1 @ X56 )
      | ~ ( c2_1 @ X56 )
      | ~ ndr1_0
      | hskp15
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl362,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl2067,plain,
    ( ( ( c0_1 @ a110 )
      | ( c3_1 @ a110 ) )
   <= ( ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) )
      & ( c2_1 @ a110 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl362]) ).

thf('8',plain,
    ( ( c0_1 @ a110 )
    | ( c3_1 @ a110 )
    | ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) )
    | ~ ( c2_1 @ a110 ) ),
    inference(split,[status(esa)],[zip_derived_cl2067]) ).

thf('9',plain,
    ( ( c2_1 @ a110 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a110 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( ~ ( c1_1 @ a110 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp9
    | ~ ( c3_1 @ a110 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( ~ ( c3_1 @ a110 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl635_002,plain,
    ( ( c2_1 @ a110 )
   <= ( c2_1 @ a110 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl26,plain,
    ! [X22: $i] :
      ( ( c1_1 @ X22 )
      | ~ ( c0_1 @ X22 )
      | ~ ( c2_1 @ X22 )
      | ~ ndr1_0
      | hskp29
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl290,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1744,plain,
    ( ( ( c1_1 @ a110 )
      | ~ ( c0_1 @ a110 ) )
   <= ( ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
      & ( c2_1 @ a110 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl290]) ).

thf('12',plain,
    ( ~ ( c2_1 @ a110 )
    | ( c1_1 @ a110 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
    | ~ ( c0_1 @ a110 ) ),
    inference(split,[status(esa)],[zip_derived_cl1744]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp29
    | ( c2_1 @ a128 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl479,plain,
    ( ( c2_1 @ a128 )
   <= ( c2_1 @ a128 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl219_003,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1462,plain,
    ( ( ~ ( c1_1 @ a128 )
      | ~ ( c3_1 @ a128 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c2_1 @ a128 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl219]) ).

thf('13',plain,
    ( ~ ( c3_1 @ a128 )
    | ~ ( c2_1 @ a128 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a128 ) ),
    inference(split,[status(esa)],[zip_derived_cl1462]) ).

thf(zip_derived_cl479_004,plain,
    ( ( c2_1 @ a128 )
   <= ( c2_1 @ a128 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i] :
      ( ( c3_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ndr1_0
      | hskp13
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl227,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1464,plain,
    ( ( ( c3_1 @ a128 )
      | ~ ( c1_1 @ a128 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c2_1 @ a128 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl227]) ).

thf('14',plain,
    ( ( c3_1 @ a128 )
    | ~ ( c2_1 @ a128 )
    | ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c1_1 @ a128 ) ),
    inference(split,[status(esa)],[zip_derived_cl1464]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp4
    | ( c2_1 @ a105 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl675,plain,
    ( ( c2_1 @ a105 )
   <= ( c2_1 @ a105 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl9,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp19
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl223,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1862,plain,
    ( ( ~ ( c0_1 @ a105 )
      | ~ ( c3_1 @ a105 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c2_1 @ a105 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl223]) ).

thf('15',plain,
    ( ~ ( c0_1 @ a105 )
    | ~ ( c2_1 @ a105 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a105 ) ),
    inference(split,[status(esa)],[zip_derived_cl1862]) ).

thf(zip_derived_cl2,plain,
    ( hskp26
    | hskp11
    | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( hskp26
    | hskp11
    | hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl503_005,plain,
    ( ~ ( c2_1 @ a187 )
   <= ~ ( c2_1 @ a187 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl13,plain,
    ! [X6: $i] :
      ( ( c2_1 @ X6 )
      | ~ ( c0_1 @ X6 )
      | ~ ( c3_1 @ X6 )
      | ~ ndr1_0
      | hskp6
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl239,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl801,plain,
    ( ( ~ ( c0_1 @ a187 )
      | ~ ( c3_1 @ a187 ) )
   <= ( ~ ( c2_1 @ a187 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl503,zip_derived_cl239]) ).

thf('17',plain,
    ( ~ ( c0_1 @ a187 )
    | ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
    | ( c2_1 @ a187 )
    | ~ ( c3_1 @ a187 ) ),
    inference(split,[status(esa)],[zip_derived_cl801]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp26
    | ( c0_1 @ a187 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('18',plain,
    ( ( c0_1 @ a187 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('19',plain,
    ( ~ ( c2_1 @ a187 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl258,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl503_006,plain,
    ( ~ ( c2_1 @ a187 )
   <= ~ ( c2_1 @ a187 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl886,plain,
    ( ( ~ ( c0_1 @ a187 )
      | ( c3_1 @ a187 ) )
   <= ( ~ ( c2_1 @ a187 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c0_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl503]) ).

thf('20',plain,
    ( ( c3_1 @ a187 )
    | ( c2_1 @ a187 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c0_1 @ X12 ) )
    | ~ ( c0_1 @ a187 ) ),
    inference(split,[status(esa)],[zip_derived_cl886]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp30
    | ( c3_1 @ a131 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl471,plain,
    ( ( c3_1 @ a131 )
   <= ( c3_1 @ a131 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl262_007,plain,
    ( ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1442,plain,
    ( ( ( c1_1 @ a131 )
      | ~ ( c0_1 @ a131 ) )
   <= ( ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ( c3_1 @ a131 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl471,zip_derived_cl262]) ).

thf('21',plain,
    ( ( c1_1 @ a131 )
    | ~ ( c3_1 @ a131 )
    | ~ ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
    | ~ ( c0_1 @ a131 ) ),
    inference(split,[status(esa)],[zip_derived_cl1442]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp5
    | ~ ( c2_1 @ a106 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl671,plain,
    ( ~ ( c2_1 @ a106 )
   <= ~ ( c2_1 @ a106 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl239_008,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1013,plain,
    ( ( ~ ( c0_1 @ a106 )
      | ~ ( c3_1 @ a106 ) )
   <= ( ~ ( c2_1 @ a106 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl671,zip_derived_cl239]) ).

thf('22',plain,
    ( ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
    | ~ ( c3_1 @ a106 )
    | ( c2_1 @ a106 )
    | ~ ( c0_1 @ a106 ) ),
    inference(split,[status(esa)],[zip_derived_cl1013]) ).

thf(zip_derived_cl463_009,plain,
    ( ( c3_1 @ a141 )
   <= ( c3_1 @ a141 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl239_010,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl223_011,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl762,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl239,zip_derived_cl223]) ).

thf(zip_derived_cl765,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl762]) ).

thf(zip_derived_cl1413,plain,
    ( ~ ( c0_1 @ a141 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
      & ( c3_1 @ a141 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl765]) ).

thf(zip_derived_cl69,plain,
    ( ~ hskp31
    | ( c0_1 @ a141 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl459,plain,
    ( ( c0_1 @ a141 )
   <= ( c0_1 @ a141 ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf('23',plain,
    ( ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
    | ~ ( c0_1 @ a141 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a141 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1413,zip_derived_cl459]) ).

thf(zip_derived_cl463_012,plain,
    ( ( c3_1 @ a141 )
   <= ( c3_1 @ a141 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl239_013,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl219_014,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl761,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl239,zip_derived_cl219]) ).

thf(zip_derived_cl764,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl761]) ).

thf(zip_derived_cl1412,plain,
    ( ( ~ ( c1_1 @ a141 )
      | ~ ( c0_1 @ a141 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
      & ( c3_1 @ a141 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl764]) ).

thf('24',plain,
    ( ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
    | ~ ( c0_1 @ a141 )
    | ~ ( c1_1 @ a141 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a141 ) ),
    inference(split,[status(esa)],[zip_derived_cl1412]) ).

thf(zip_derived_cl62,plain,
    ! [X91: $i,X92: $i,X93: $i] :
      ( ( c0_1 @ X91 )
      | ( c1_1 @ X91 )
      | ( c3_1 @ X91 )
      | ~ ndr1_0
      | ( c0_1 @ X92 )
      | ( c3_1 @ X92 )
      | ~ ( c2_1 @ X92 )
      | ~ ndr1_0
      | ( c3_1 @ X93 )
      | ~ ( c0_1 @ X93 )
      | ~ ( c2_1 @ X93 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) )
    | ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ( c3_1 @ X88 ) )
    | ~ ndr1_0
    | ! [X26: $i] :
        ( ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl671_015,plain,
    ( ~ ( c2_1 @ a106 )
   <= ~ ( c2_1 @ a106 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl255_016,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1015,plain,
    ( ( ( c3_1 @ a106 )
      | ~ ( c1_1 @ a106 ) )
   <= ( ~ ( c2_1 @ a106 )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl671,zip_derived_cl255]) ).

thf('26',plain,
    ( ( c3_1 @ a106 )
    | ( c2_1 @ a106 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c1_1 @ a106 ) ),
    inference(split,[status(esa)],[zip_derived_cl1015]) ).

thf(zip_derived_cl61,plain,
    ! [X90: $i] :
      ( ( c0_1 @ X90 )
      | ( c1_1 @ X90 )
      | ( c3_1 @ X90 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( hskp5
    | ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ( c3_1 @ X88 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl422,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ( c3_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ( c3_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp10
    | ~ ( c3_1 @ a111 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl631,plain,
    ( ~ ( c3_1 @ a111 )
   <= ~ ( c3_1 @ a111 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl2354,plain,
    ( ( ( c1_1 @ a111 )
      | ( c0_1 @ a111 ) )
   <= ( ~ ( c3_1 @ a111 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ( c3_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl631]) ).

thf('28',plain,
    ( ( c1_1 @ a111 )
    | ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ( c3_1 @ X88 ) )
    | ( c3_1 @ a111 )
    | ( c0_1 @ a111 ) ),
    inference(split,[status(esa)],[zip_derived_cl2354]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a111 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl629,plain,
    ( ~ ( c2_1 @ a111 )
   <= ~ ( c2_1 @ a111 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl255_017,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl989,plain,
    ( ( ( c3_1 @ a111 )
      | ~ ( c1_1 @ a111 ) )
   <= ( ~ ( c2_1 @ a111 )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl629,zip_derived_cl255]) ).

thf('29',plain,
    ( ~ ( c1_1 @ a111 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ( c2_1 @ a111 )
    | ( c3_1 @ a111 ) ),
    inference(split,[status(esa)],[zip_derived_cl989]) ).

thf(zip_derived_cl41,plain,
    ! [X51: $i,X52: $i] :
      ( ( c0_1 @ X51 )
      | ~ ( c2_1 @ X51 )
      | ~ ( c3_1 @ X51 )
      | ~ ndr1_0
      | ( c3_1 @ X52 )
      | ~ ( c0_1 @ X52 )
      | ~ ( c2_1 @ X52 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('30',plain,
    ( hskp10
    | ! [X26: $i] :
        ( ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
    | ~ ndr1_0
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl479_018,plain,
    ( ( c2_1 @ a128 )
   <= ( c2_1 @ a128 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl28,plain,
    ! [X25: $i,X26: $i] :
      ( ( c1_1 @ X25 )
      | ~ ( c0_1 @ X25 )
      | ~ ( c2_1 @ X25 )
      | ~ ndr1_0
      | ( c3_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl298,plain,
    ( ! [X26: $i] :
        ( ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1468,plain,
    ( ( ( c3_1 @ a128 )
      | ~ ( c0_1 @ a128 ) )
   <= ( ! [X26: $i] :
          ( ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ( c2_1 @ a128 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl298]) ).

thf('31',plain,
    ( ( c3_1 @ a128 )
    | ~ ( c2_1 @ a128 )
    | ~ ! [X26: $i] :
          ( ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c0_1 @ a128 ) ),
    inference(split,[status(esa)],[zip_derived_cl1468]) ).

thf(zip_derived_cl479_019,plain,
    ( ( c2_1 @ a128 )
   <= ( c2_1 @ a128 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl223_020,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1463,plain,
    ( ( ~ ( c0_1 @ a128 )
      | ~ ( c3_1 @ a128 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c2_1 @ a128 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl223]) ).

thf('32',plain,
    ( ~ ( c3_1 @ a128 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c2_1 @ a128 )
    | ~ ( c0_1 @ a128 ) ),
    inference(split,[status(esa)],[zip_derived_cl1463]) ).

thf(zip_derived_cl38,plain,
    ! [X45: $i,X46: $i] :
      ( ( c1_1 @ X45 )
      | ( c2_1 @ X45 )
      | ~ ( c0_1 @ X45 )
      | ~ ndr1_0
      | ( c1_1 @ X46 )
      | ( c2_1 @ X46 )
      | ~ ( c3_1 @ X46 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl338,plain,
    ( ! [X46: $i] :
        ( ( c1_1 @ X46 )
        | ( c2_1 @ X46 )
        | ~ ( c3_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c1_1 @ X46 )
        | ( c2_1 @ X46 )
        | ~ ( c3_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl503_021,plain,
    ( ~ ( c2_1 @ a187 )
   <= ~ ( c2_1 @ a187 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl1807,plain,
    ( ( ~ ( c3_1 @ a187 )
      | ( c1_1 @ a187 ) )
   <= ( ~ ( c2_1 @ a187 )
      & ! [X46: $i] :
          ( ( c1_1 @ X46 )
          | ( c2_1 @ X46 )
          | ~ ( c3_1 @ X46 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl503]) ).

thf('33',plain,
    ( ~ ( c3_1 @ a187 )
    | ( c1_1 @ a187 )
    | ( c2_1 @ a187 )
    | ~ ! [X46: $i] :
          ( ( c1_1 @ X46 )
          | ( c2_1 @ X46 )
          | ~ ( c3_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1807]) ).

thf(zip_derived_cl471_022,plain,
    ( ( c3_1 @ a131 )
   <= ( c3_1 @ a131 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl46,plain,
    ! [X58: $i,X59: $i] :
      ( ( c0_1 @ X58 )
      | ( c3_1 @ X58 )
      | ~ ( c1_1 @ X58 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X59 )
      | ~ ( c1_1 @ X59 )
      | ~ ( c3_1 @ X59 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl370,plain,
    ( ! [X59: $i] :
        ( ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl1443,plain,
    ( ( ~ ( c0_1 @ a131 )
      | ~ ( c1_1 @ a131 ) )
   <= ( ! [X59: $i] :
          ( ~ ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
      & ( c3_1 @ a131 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl471,zip_derived_cl370]) ).

thf('34',plain,
    ( ~ ( c3_1 @ a131 )
    | ~ ( c1_1 @ a131 )
    | ~ ! [X59: $i] :
          ( ~ ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
    | ~ ( c0_1 @ a131 ) ),
    inference(split,[status(esa)],[zip_derived_cl1443]) ).

thf(zip_derived_cl27,plain,
    ! [X23: $i,X24: $i] :
      ( ( c1_1 @ X23 )
      | ~ ( c0_1 @ X23 )
      | ~ ( c2_1 @ X23 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X24 )
      | ~ ( c1_1 @ X24 )
      | ~ ( c2_1 @ X24 )
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('35',plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) )
    | hskp31
    | ! [X24: $i] :
        ( ~ ( c0_1 @ X24 )
        | ~ ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf('36',plain,
    ( ( c3_1 @ a131 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl74,plain,
    ( ~ hskp30
    | ( c2_1 @ a131 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl469,plain,
    ( ( c2_1 @ a131 )
   <= ( c2_1 @ a131 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl223_023,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1429,plain,
    ( ( ~ ( c0_1 @ a131 )
      | ~ ( c3_1 @ a131 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c2_1 @ a131 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl469,zip_derived_cl223]) ).

thf('37',plain,
    ( ~ ( c3_1 @ a131 )
    | ~ ( c2_1 @ a131 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a131 ) ),
    inference(split,[status(esa)],[zip_derived_cl1429]) ).

thf(zip_derived_cl53,plain,
    ! [X73: $i,X74: $i,X75: $i] :
      ( ( c0_1 @ X73 )
      | ( c1_1 @ X73 )
      | ~ ( c3_1 @ X73 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X74 )
      | ~ ( c2_1 @ X74 )
      | ~ ( c3_1 @ X74 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X75 )
      | ~ ( c2_1 @ X75 )
      | ~ ( c3_1 @ X75 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c1_1 @ X73 )
        | ~ ( c3_1 @ X73 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp21
    | ( c3_1 @ a143 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl539,plain,
    ( ( c3_1 @ a143 )
   <= ( c3_1 @ a143 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl400,plain,
    ( ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c1_1 @ X73 )
        | ~ ( c3_1 @ X73 ) )
   <= ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c1_1 @ X73 )
        | ~ ( c3_1 @ X73 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl2161,plain,
    ( ( ( c0_1 @ a143 )
      | ( c1_1 @ a143 ) )
   <= ( ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c1_1 @ X73 )
          | ~ ( c3_1 @ X73 ) )
      & ( c3_1 @ a143 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl539,zip_derived_cl400]) ).

thf('39',plain,
    ( ( c1_1 @ a143 )
    | ( c0_1 @ a143 )
    | ~ ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c1_1 @ X73 )
          | ~ ( c3_1 @ X73 ) )
    | ~ ( c3_1 @ a143 ) ),
    inference(split,[status(esa)],[zip_derived_cl2161]) ).

thf(zip_derived_cl49,plain,
    ! [X66: $i] :
      ( ( c0_1 @ X66 )
      | ( c2_1 @ X66 )
      | ~ ( c3_1 @ X66 )
      | ~ ndr1_0
      | hskp15
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl382,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ~ ( c3_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ~ ( c3_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp21
    | ~ ( c2_1 @ a143 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl543,plain,
    ( ~ ( c2_1 @ a143 )
   <= ~ ( c2_1 @ a143 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl2223,plain,
    ( ( ~ ( c3_1 @ a143 )
      | ( c0_1 @ a143 ) )
   <= ( ~ ( c2_1 @ a143 )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c2_1 @ X66 )
          | ~ ( c3_1 @ X66 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl543]) ).

thf('40',plain,
    ( ( c2_1 @ a143 )
    | ( c0_1 @ a143 )
    | ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c2_1 @ X66 )
          | ~ ( c3_1 @ X66 ) )
    | ~ ( c3_1 @ a143 ) ),
    inference(split,[status(esa)],[zip_derived_cl2223]) ).

thf(zip_derived_cl543_024,plain,
    ( ~ ( c2_1 @ a143 )
   <= ~ ( c2_1 @ a143 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl239_025,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl864,plain,
    ( ( ~ ( c0_1 @ a143 )
      | ~ ( c3_1 @ a143 ) )
   <= ( ~ ( c2_1 @ a143 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl543,zip_derived_cl239]) ).

thf('41',plain,
    ( ~ ( c0_1 @ a143 )
    | ( c2_1 @ a143 )
    | ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
    | ~ ( c3_1 @ a143 ) ),
    inference(split,[status(esa)],[zip_derived_cl864]) ).

thf(zip_derived_cl29,plain,
    ! [X27: $i,X28: $i,X29: $i] :
      ( ( c1_1 @ X27 )
      | ~ ( c0_1 @ X27 )
      | ~ ( c2_1 @ X27 )
      | ~ ndr1_0
      | ( c2_1 @ X28 )
      | ~ ( c0_1 @ X28 )
      | ~ ( c1_1 @ X28 )
      | ~ ndr1_0
      | ( c2_1 @ X29 )
      | ~ ( c0_1 @ X29 )
      | ~ ( c3_1 @ X29 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('42',plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) )
    | ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
    | ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf('43',plain,
    ( ( c3_1 @ a143 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp21
    | ~ ( c1_1 @ a143 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('44',plain,
    ( ~ hskp21
    | ~ ( c1_1 @ a143 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('45',plain,
    ( ~ hskp21
    | ~ ( c2_1 @ a143 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf('46',plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) )
    | hskp21
    | hskp29
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl4080,plain,
    ( ( c3_1 @ a106 )
   <= ( c3_1 @ a106 ) ),
    inference(split,[status(esa)],[zip_derived_cl1015]) ).

thf(zip_derived_cl370_026,plain,
    ( ! [X59: $i] :
        ( ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl4093,plain,
    ( ( ~ ( c0_1 @ a106 )
      | ~ ( c1_1 @ a106 ) )
   <= ( ! [X59: $i] :
          ( ~ ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
      & ( c3_1 @ a106 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4080,zip_derived_cl370]) ).

thf('47',plain,
    ( ~ ! [X59: $i] :
          ( ~ ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
    | ~ ( c3_1 @ a106 )
    | ~ ( c1_1 @ a106 )
    | ~ ( c0_1 @ a106 ) ),
    inference(split,[status(esa)],[zip_derived_cl4093]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp6
    | ( c2_1 @ a107 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl661,plain,
    ( ( c2_1 @ a107 )
   <= ( c2_1 @ a107 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl219_027,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1837,plain,
    ( ( ~ ( c1_1 @ a107 )
      | ~ ( c3_1 @ a107 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c2_1 @ a107 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl661,zip_derived_cl219]) ).

thf('48',plain,
    ( ~ ( c3_1 @ a107 )
    | ~ ( c2_1 @ a107 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a107 ) ),
    inference(split,[status(esa)],[zip_derived_cl1837]) ).

thf(zip_derived_cl661_028,plain,
    ( ( c2_1 @ a107 )
   <= ( c2_1 @ a107 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl227_029,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1839,plain,
    ( ( ( c3_1 @ a107 )
      | ~ ( c1_1 @ a107 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c2_1 @ a107 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl661,zip_derived_cl227]) ).

thf('49',plain,
    ( ( c3_1 @ a107 )
    | ~ ( c2_1 @ a107 )
    | ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c1_1 @ a107 ) ),
    inference(split,[status(esa)],[zip_derived_cl1839]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp6
    | ( c1_1 @ a107 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('50',plain,
    ( ( c1_1 @ a107 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf('51',plain,
    ( ( c2_1 @ a107 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp16
    | ( c3_1 @ a126 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl581,plain,
    ( ( c3_1 @ a126 )
   <= ( c3_1 @ a126 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl370_030,plain,
    ( ! [X59: $i] :
        ( ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl1649,plain,
    ( ( ~ ( c0_1 @ a126 )
      | ~ ( c1_1 @ a126 ) )
   <= ( ! [X59: $i] :
          ( ~ ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
      & ( c3_1 @ a126 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl370]) ).

thf('52',plain,
    ( ~ ! [X59: $i] :
          ( ~ ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
    | ~ ( c0_1 @ a126 )
    | ~ ( c3_1 @ a126 )
    | ~ ( c1_1 @ a126 ) ),
    inference(split,[status(esa)],[zip_derived_cl1649]) ).

thf(zip_derived_cl45,plain,
    ! [X57: $i] :
      ( ( c0_1 @ X57 )
      | ( c3_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ndr1_0
      | hskp15
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('53',plain,
    ( hskp15
    | hskp10
    | ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c1_1 @ X57 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp8
    | ( c1_1 @ a109 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( ( c1_1 @ a109 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl1,plain,
    ( hskp25
    | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('55',plain,
    ( hskp25
    | hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl382_031,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ~ ( c3_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ~ ( c3_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp25
    | ~ ( c2_1 @ a167 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl511,plain,
    ( ~ ( c2_1 @ a167 )
   <= ~ ( c2_1 @ a167 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl2226,plain,
    ( ( ~ ( c3_1 @ a167 )
      | ( c0_1 @ a167 ) )
   <= ( ~ ( c2_1 @ a167 )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c2_1 @ X66 )
          | ~ ( c3_1 @ X66 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl511]) ).

thf('56',plain,
    ( ~ ( c3_1 @ a167 )
    | ( c0_1 @ a167 )
    | ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c2_1 @ X66 )
          | ~ ( c3_1 @ X66 ) )
    | ( c2_1 @ a167 ) ),
    inference(split,[status(esa)],[zip_derived_cl2226]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp25
    | ( c1_1 @ a167 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( ( c1_1 @ a167 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp25
    | ~ ( c0_1 @ a167 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('58',plain,
    ( ~ ( c0_1 @ a167 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf('59',plain,
    ( ~ ( c2_1 @ a167 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl366,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c1_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c1_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl511_032,plain,
    ( ~ ( c2_1 @ a167 )
   <= ~ ( c2_1 @ a167 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl12,plain,
    ! [X4: $i,X5: $i] :
      ( ( c2_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c3_1 @ X4 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ( c3_1 @ X5 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl236,plain,
    ( ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl806,plain,
    ( ( ~ ( c1_1 @ a167 )
      | ~ ( c3_1 @ a167 ) )
   <= ( ~ ( c2_1 @ a167 )
      & ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl511,zip_derived_cl236]) ).

thf(zip_derived_cl838,plain,
    ( ~ ( c3_1 @ a167 )
   <= ~ ( c3_1 @ a167 ) ),
    inference(split,[status(esa)],[zip_derived_cl806]) ).

thf(zip_derived_cl2105,plain,
    ( ( ~ ( c1_1 @ a167 )
      | ( c0_1 @ a167 ) )
   <= ( ~ ( c3_1 @ a167 )
      & ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ( c3_1 @ X57 )
          | ~ ( c1_1 @ X57 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl838]) ).

thf('60',plain,
    ( ( c3_1 @ a167 )
    | ~ ( c1_1 @ a167 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ( c3_1 @ X57 )
          | ~ ( c1_1 @ X57 ) )
    | ( c0_1 @ a167 ) ),
    inference(split,[status(esa)],[zip_derived_cl2105]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a109 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('61',plain,
    ( ~ ( c0_1 @ a109 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp8
    | ~ ( c3_1 @ a109 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( ~ ( c3_1 @ a109 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl366_033,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c1_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c1_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl647,plain,
    ( ~ ( c3_1 @ a109 )
   <= ~ ( c3_1 @ a109 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl2090,plain,
    ( ( ~ ( c1_1 @ a109 )
      | ( c0_1 @ a109 ) )
   <= ( ~ ( c3_1 @ a109 )
      & ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ( c3_1 @ X57 )
          | ~ ( c1_1 @ X57 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl647]) ).

thf('63',plain,
    ( ( c0_1 @ a109 )
    | ( c3_1 @ a109 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ( c3_1 @ X57 )
          | ~ ( c1_1 @ X57 ) )
    | ~ ( c1_1 @ a109 ) ),
    inference(split,[status(esa)],[zip_derived_cl2090]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp16
    | ( c1_1 @ a126 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( ( c1_1 @ a126 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf('65',plain,
    ( hskp6
    | hskp16
    | ~ ndr1_0
    | ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp4
    | ( c3_1 @ a105 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl677,plain,
    ( ( c3_1 @ a105 )
   <= ( c3_1 @ a105 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl262_034,plain,
    ( ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1877,plain,
    ( ( ( c1_1 @ a105 )
      | ~ ( c0_1 @ a105 ) )
   <= ( ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ( c3_1 @ a105 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl262]) ).

thf('66',plain,
    ( ~ ( c0_1 @ a105 )
    | ~ ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
    | ~ ( c3_1 @ a105 )
    | ( c1_1 @ a105 ) ),
    inference(split,[status(esa)],[zip_derived_cl1877]) ).

thf('67',plain,
    ( ( c3_1 @ a105 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl42,plain,
    ! [X53: $i,X54: $i] :
      ( ( c0_1 @ X53 )
      | ~ ( c2_1 @ X53 )
      | ~ ( c3_1 @ X53 )
      | ~ ndr1_0
      | ( c1_1 @ X54 )
      | ( c2_1 @ X54 )
      | ( c3_1 @ X54 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( hskp16
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | ! [X47: $i] :
        ( ( c1_1 @ X47 )
        | ( c2_1 @ X47 )
        | ( c3_1 @ X47 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp5
    | ( c0_1 @ a106 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('69',plain,
    ( ( c0_1 @ a106 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp5
    | ( c1_1 @ a106 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('70',plain,
    ( ( c1_1 @ a106 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf('71',plain,
    ( ~ ( c2_1 @ a106 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl671_035,plain,
    ( ~ ( c2_1 @ a106 )
   <= ~ ( c2_1 @ a106 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl243_036,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1014,plain,
    ( ( ~ ( c0_1 @ a106 )
      | ~ ( c1_1 @ a106 ) )
   <= ( ~ ( c2_1 @ a106 )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl671,zip_derived_cl243]) ).

thf('72',plain,
    ( ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
    | ~ ( c1_1 @ a106 )
    | ( c2_1 @ a106 )
    | ~ ( c0_1 @ a106 ) ),
    inference(split,[status(esa)],[zip_derived_cl1014]) ).

thf(zip_derived_cl382_037,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ~ ( c3_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ~ ( c3_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp16
    | ~ ( c2_1 @ a126 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl583,plain,
    ( ~ ( c2_1 @ a126 )
   <= ~ ( c2_1 @ a126 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl2220,plain,
    ( ( ~ ( c3_1 @ a126 )
      | ( c0_1 @ a126 ) )
   <= ( ~ ( c2_1 @ a126 )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c2_1 @ X66 )
          | ~ ( c3_1 @ X66 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl583]) ).

thf('73',plain,
    ( ( c0_1 @ a126 )
    | ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c2_1 @ X66 )
          | ~ ( c3_1 @ X66 ) )
    | ( c2_1 @ a126 )
    | ~ ( c3_1 @ a126 ) ),
    inference(split,[status(esa)],[zip_derived_cl2220]) ).

thf('74',plain,
    ( ( c3_1 @ a126 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf('75',plain,
    ( ~ ( c2_1 @ a126 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl583_038,plain,
    ( ~ ( c2_1 @ a126 )
   <= ~ ( c2_1 @ a126 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl239_039,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl931,plain,
    ( ( ~ ( c0_1 @ a126 )
      | ~ ( c3_1 @ a126 ) )
   <= ( ~ ( c2_1 @ a126 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl583,zip_derived_cl239]) ).

thf('76',plain,
    ( ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
    | ~ ( c0_1 @ a126 )
    | ( c2_1 @ a126 )
    | ~ ( c3_1 @ a126 ) ),
    inference(split,[status(esa)],[zip_derived_cl931]) ).

thf(zip_derived_cl6,plain,
    ( hskp5
    | hskp15
    | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( hskp5
    | hskp13
    | hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf('78',plain,
    ( hskp15
    | ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ~ ( c3_1 @ X66 ) )
    | hskp28
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl23,plain,
    ! [X17: $i] :
      ( ( c1_1 @ X17 )
      | ~ ( c0_1 @ X17 )
      | ~ ( c3_1 @ X17 )
      | ~ ndr1_0
      | hskp31
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( hskp31
    | hskp28
    | ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp28
    | ( c2_1 @ a118 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl485,plain,
    ( ( c2_1 @ a118 )
   <= ( c2_1 @ a118 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl219_040,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1482,plain,
    ( ( ~ ( c1_1 @ a118 )
      | ~ ( c3_1 @ a118 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c2_1 @ a118 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl219]) ).

thf('80',plain,
    ( ~ ( c1_1 @ a118 )
    | ~ ( c3_1 @ a118 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a118 ) ),
    inference(split,[status(esa)],[zip_derived_cl1482]) ).

thf(zip_derived_cl485_041,plain,
    ( ( c2_1 @ a118 )
   <= ( c2_1 @ a118 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl294,plain,
    ( ! [X24: $i] :
        ( ~ ( c0_1 @ X24 )
        | ~ ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ~ ( c0_1 @ X24 )
        | ~ ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1487,plain,
    ( ( ~ ( c0_1 @ a118 )
      | ~ ( c1_1 @ a118 ) )
   <= ( ! [X24: $i] :
          ( ~ ( c0_1 @ X24 )
          | ~ ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
      & ( c2_1 @ a118 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl294]) ).

thf('81',plain,
    ( ~ ( c0_1 @ a118 )
    | ~ ! [X24: $i] :
          ( ~ ( c0_1 @ X24 )
          | ~ ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ~ ( c1_1 @ a118 )
    | ~ ( c2_1 @ a118 ) ),
    inference(split,[status(esa)],[zip_derived_cl1487]) ).

thf(zip_derived_cl485_042,plain,
    ( ( c2_1 @ a118 )
   <= ( c2_1 @ a118 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl290_043,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1486,plain,
    ( ( ( c1_1 @ a118 )
      | ~ ( c0_1 @ a118 ) )
   <= ( ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
      & ( c2_1 @ a118 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl290]) ).

thf('82',plain,
    ( ~ ( c0_1 @ a118 )
    | ( c1_1 @ a118 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
    | ~ ( c2_1 @ a118 ) ),
    inference(split,[status(esa)],[zip_derived_cl1486]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp28
    | ( c1_1 @ a118 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('83',plain,
    ( ( c1_1 @ a118 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl7,plain,
    ( hskp31
    | hskp30
    | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( hskp31
    | hskp30
    | hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl675_044,plain,
    ( ( c2_1 @ a105 )
   <= ( c2_1 @ a105 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl58,plain,
    ! [X86: $i,X87: $i] :
      ( ( c0_1 @ X86 )
      | ( c1_1 @ X86 )
      | ~ ( c2_1 @ X86 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X87 )
      | ~ ( c1_1 @ X87 )
      | ~ ( c3_1 @ X87 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl419,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl2189,plain,
    ( ( ( c0_1 @ a105 )
      | ( c1_1 @ a105 ) )
   <= ( ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ~ ( c2_1 @ X86 ) )
      & ( c2_1 @ a105 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl419]) ).

thf('85',plain,
    ( ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ~ ( c2_1 @ X86 ) )
    | ( c0_1 @ a105 )
    | ( c1_1 @ a105 )
    | ~ ( c2_1 @ a105 ) ),
    inference(split,[status(esa)],[zip_derived_cl2189]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a105 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( ~ ( c1_1 @ a105 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp15
    | ( c3_1 @ a117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl589,plain,
    ( ( c3_1 @ a117 )
   <= ( c3_1 @ a117 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl765_045,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl762]) ).

thf(zip_derived_cl1661,plain,
    ( ~ ( c0_1 @ a117 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
      & ( c3_1 @ a117 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl765]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp15
    | ( c0_1 @ a117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl587,plain,
    ( ( c0_1 @ a117 )
   <= ( c0_1 @ a117 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf('87',plain,
    ( ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
    | ~ ( c0_1 @ a117 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a117 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1661,zip_derived_cl587]) ).

thf(zip_derived_cl675_046,plain,
    ( ( c2_1 @ a105 )
   <= ( c2_1 @ a105 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl40,plain,
    ! [X50: $i] :
      ( ( c0_1 @ X50 )
      | ~ ( c2_1 @ X50 )
      | ~ ( c3_1 @ X50 )
      | ~ ndr1_0
      | hskp29
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl346,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1995,plain,
    ( ( ( c0_1 @ a105 )
      | ~ ( c3_1 @ a105 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c2_1 @ a105 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl346]) ).

thf('88',plain,
    ( ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ( c0_1 @ a105 )
    | ~ ( c2_1 @ a105 )
    | ~ ( c3_1 @ a105 ) ),
    inference(split,[status(esa)],[zip_derived_cl1995]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp30
    | ( c0_1 @ a131 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('89',plain,
    ( ( c0_1 @ a131 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf('90',plain,
    ( ( c2_1 @ a131 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl469_047,plain,
    ( ( c2_1 @ a131 )
   <= ( c2_1 @ a131 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl294_048,plain,
    ( ! [X24: $i] :
        ( ~ ( c0_1 @ X24 )
        | ~ ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ~ ( c0_1 @ X24 )
        | ~ ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1433,plain,
    ( ( ~ ( c0_1 @ a131 )
      | ~ ( c1_1 @ a131 ) )
   <= ( ! [X24: $i] :
          ( ~ ( c0_1 @ X24 )
          | ~ ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
      & ( c2_1 @ a131 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl469,zip_derived_cl294]) ).

thf('91',plain,
    ( ~ ! [X24: $i] :
          ( ~ ( c0_1 @ X24 )
          | ~ ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ~ ( c1_1 @ a131 )
    | ~ ( c2_1 @ a131 )
    | ~ ( c0_1 @ a131 ) ),
    inference(split,[status(esa)],[zip_derived_cl1433]) ).

thf(zip_derived_cl671_049,plain,
    ( ~ ( c2_1 @ a106 )
   <= ~ ( c2_1 @ a106 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl258_050,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1016,plain,
    ( ( ( c3_1 @ a106 )
      | ~ ( c0_1 @ a106 ) )
   <= ( ~ ( c2_1 @ a106 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c0_1 @ X12 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl671,zip_derived_cl258]) ).

thf('92',plain,
    ( ( c3_1 @ a106 )
    | ( c2_1 @ a106 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c0_1 @ X12 ) )
    | ~ ( c0_1 @ a106 ) ),
    inference(split,[status(esa)],[zip_derived_cl1016]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp0
    | ( c2_1 @ a101 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('93',plain,
    ( ( c2_1 @ a101 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp0
    | ( c3_1 @ a101 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ( c3_1 @ a101 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp0
    | ~ ( c0_1 @ a101 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('95',plain,
    ( ~ ( c0_1 @ a101 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf('96',plain,
    ( hskp0
    | ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) )
    | hskp15
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf('97',plain,
    ( ( c0_1 @ a117 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf('98',plain,
    ( ( c3_1 @ a117 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( ~ ( c1_1 @ a117 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl589_051,plain,
    ( ( c3_1 @ a117 )
   <= ( c3_1 @ a117 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl262_052,plain,
    ( ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1664,plain,
    ( ( ( c1_1 @ a117 )
      | ~ ( c0_1 @ a117 ) )
   <= ( ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ( c3_1 @ a117 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl262]) ).

thf('100',plain,
    ( ~ ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
    | ~ ( c0_1 @ a117 )
    | ( c1_1 @ a117 )
    | ~ ( c3_1 @ a117 ) ),
    inference(split,[status(esa)],[zip_derived_cl1664]) ).

thf(zip_derived_cl21,plain,
    ! [X15: $i] :
      ( ( c1_1 @ X15 )
      | ~ ( c0_1 @ X15 )
      | ~ ( c3_1 @ X15 )
      | ~ ndr1_0
      | hskp28
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( hskp11
    | hskp28
    | ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl485_053,plain,
    ( ( c2_1 @ a118 )
   <= ( c2_1 @ a118 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl223_054,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1483,plain,
    ( ( ~ ( c0_1 @ a118 )
      | ~ ( c3_1 @ a118 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c2_1 @ a118 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl223]) ).

thf('102',plain,
    ( ~ ( c0_1 @ a118 )
    | ~ ( c3_1 @ a118 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c2_1 @ a118 ) ),
    inference(split,[status(esa)],[zip_derived_cl1483]) ).

thf('103',plain,
    ( ( c2_1 @ a118 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp28
    | ( c3_1 @ a118 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( ( c3_1 @ a118 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl485_055,plain,
    ( ( c2_1 @ a118 )
   <= ( c2_1 @ a118 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl346_056,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl2001,plain,
    ( ( ( c0_1 @ a118 )
      | ~ ( c3_1 @ a118 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c2_1 @ a118 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl346]) ).

thf('105',plain,
    ( ( c0_1 @ a118 )
    | ~ ( c2_1 @ a118 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c3_1 @ a118 ) ),
    inference(split,[status(esa)],[zip_derived_cl2001]) ).

thf('106',plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | hskp19
    | hskp11
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf('107',plain,
    ( hskp11
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | hskp29
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp11
    | ( c1_1 @ a112 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( ( c1_1 @ a112 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a112 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('109',plain,
    ( ~ ( c2_1 @ a112 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a112 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('110',plain,
    ( ~ ( c3_1 @ a112 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl621,plain,
    ( ~ ( c2_1 @ a112 )
   <= ~ ( c2_1 @ a112 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl255_057,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl967,plain,
    ( ( ( c3_1 @ a112 )
      | ~ ( c1_1 @ a112 ) )
   <= ( ~ ( c2_1 @ a112 )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl621,zip_derived_cl255]) ).

thf('111',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ( c2_1 @ a112 )
    | ( c3_1 @ a112 )
    | ~ ( c1_1 @ a112 ) ),
    inference(split,[status(esa)],[zip_derived_cl967]) ).

thf('112',plain,
    ( hskp19
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp19
    | ( c0_1 @ a135 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('113',plain,
    ( ( c0_1 @ a135 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf('114',plain,
    ( ~ ( c2_1 @ a135 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a135 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('115',plain,
    ( ~ ( c3_1 @ a135 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl557_058,plain,
    ( ~ ( c2_1 @ a135 )
   <= ~ ( c2_1 @ a135 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl258_059,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl900,plain,
    ( ( ( c3_1 @ a135 )
      | ~ ( c0_1 @ a135 ) )
   <= ( ~ ( c2_1 @ a135 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c0_1 @ X12 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl557,zip_derived_cl258]) ).

thf('116',plain,
    ( ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c0_1 @ X12 ) )
    | ( c2_1 @ a135 )
    | ( c3_1 @ a135 )
    | ~ ( c0_1 @ a135 ) ),
    inference(split,[status(esa)],[zip_derived_cl900]) ).

thf(zip_derived_cl366_060,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c1_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c1_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp13
    | ~ ( c3_1 @ a114 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl607,plain,
    ( ~ ( c3_1 @ a114 )
   <= ~ ( c3_1 @ a114 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl2095,plain,
    ( ( ~ ( c1_1 @ a114 )
      | ( c0_1 @ a114 ) )
   <= ( ~ ( c3_1 @ a114 )
      & ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ( c3_1 @ X57 )
          | ~ ( c1_1 @ X57 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl607]) ).

thf('117',plain,
    ( ( c0_1 @ a114 )
    | ~ ( c1_1 @ a114 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ( c3_1 @ X57 )
          | ~ ( c1_1 @ X57 ) )
    | ( c3_1 @ a114 ) ),
    inference(split,[status(esa)],[zip_derived_cl2095]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp13
    | ( c2_1 @ a114 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl605,plain,
    ( ( c2_1 @ a114 )
   <= ( c2_1 @ a114 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl362_061,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl2068,plain,
    ( ( ( c0_1 @ a114 )
      | ( c3_1 @ a114 ) )
   <= ( ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) )
      & ( c2_1 @ a114 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl605,zip_derived_cl362]) ).

thf('118',plain,
    ( ( c0_1 @ a114 )
    | ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) )
    | ~ ( c2_1 @ a114 )
    | ( c3_1 @ a114 ) ),
    inference(split,[status(esa)],[zip_derived_cl2068]) ).

thf(zip_derived_cl605_062,plain,
    ( ( c2_1 @ a114 )
   <= ( c2_1 @ a114 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl294_063,plain,
    ( ! [X24: $i] :
        ( ~ ( c0_1 @ X24 )
        | ~ ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ~ ( c0_1 @ X24 )
        | ~ ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1705,plain,
    ( ( ~ ( c0_1 @ a114 )
      | ~ ( c1_1 @ a114 ) )
   <= ( ! [X24: $i] :
          ( ~ ( c0_1 @ X24 )
          | ~ ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
      & ( c2_1 @ a114 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl605,zip_derived_cl294]) ).

thf('119',plain,
    ( ~ ! [X24: $i] :
          ( ~ ( c0_1 @ X24 )
          | ~ ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ~ ( c0_1 @ a114 )
    | ~ ( c1_1 @ a114 )
    | ~ ( c2_1 @ a114 ) ),
    inference(split,[status(esa)],[zip_derived_cl1705]) ).

thf(zip_derived_cl707,plain,
    ( ( c2_1 @ a101 )
   <= ( c2_1 @ a101 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl346_064,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1992,plain,
    ( ( ( c0_1 @ a101 )
      | ~ ( c3_1 @ a101 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c2_1 @ a101 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl707,zip_derived_cl346]) ).

thf('120',plain,
    ( ~ ( c2_1 @ a101 )
    | ~ ( c3_1 @ a101 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ( c0_1 @ a101 ) ),
    inference(split,[status(esa)],[zip_derived_cl1992]) ).

thf(zip_derived_cl479_065,plain,
    ( ( c2_1 @ a128 )
   <= ( c2_1 @ a128 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl294_066,plain,
    ( ! [X24: $i] :
        ( ~ ( c0_1 @ X24 )
        | ~ ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ~ ( c0_1 @ X24 )
        | ~ ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1467,plain,
    ( ( ~ ( c0_1 @ a128 )
      | ~ ( c1_1 @ a128 ) )
   <= ( ! [X24: $i] :
          ( ~ ( c0_1 @ X24 )
          | ~ ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
      & ( c2_1 @ a128 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl294]) ).

thf('121',plain,
    ( ~ ! [X24: $i] :
          ( ~ ( c0_1 @ X24 )
          | ~ ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ~ ( c0_1 @ a128 )
    | ~ ( c2_1 @ a128 )
    | ~ ( c1_1 @ a128 ) ),
    inference(split,[status(esa)],[zip_derived_cl1467]) ).

thf(zip_derived_cl243_067,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl294_068,plain,
    ( ! [X24: $i] :
        ( ~ ( c0_1 @ X24 )
        | ~ ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ~ ( c0_1 @ X24 )
        | ~ ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1163,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
      & ! [X24: $i] :
          ( ~ ( c0_1 @ X24 )
          | ~ ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl294]) ).

thf(zip_derived_cl1168,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
      & ! [X24: $i] :
          ( ~ ( c0_1 @ X24 )
          | ~ ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1163]) ).

thf(zip_derived_cl70,plain,
    ( ~ hskp31
    | ( c1_1 @ a141 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl461,plain,
    ( ( c1_1 @ a141 )
   <= ( c1_1 @ a141 ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl2452,plain,
    ( ~ ( c0_1 @ a141 )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
      & ! [X24: $i] :
          ( ~ ( c0_1 @ X24 )
          | ~ ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
      & ( c1_1 @ a141 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl461]) ).

thf(zip_derived_cl459_069,plain,
    ( ( c0_1 @ a141 )
   <= ( c0_1 @ a141 ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf('122',plain,
    ( ~ ! [X24: $i] :
          ( ~ ( c0_1 @ X24 )
          | ~ ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ~ ( c0_1 @ a141 )
    | ~ ( c1_1 @ a141 )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2452,zip_derived_cl459]) ).

thf('123',plain,
    ( ( c0_1 @ a141 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf('124',plain,
    ( ( c1_1 @ a141 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf('125',plain,
    ( ( c3_1 @ a141 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl463_070,plain,
    ( ( c3_1 @ a141 )
   <= ( c3_1 @ a141 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl370_071,plain,
    ( ! [X59: $i] :
        ( ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl1417,plain,
    ( ( ~ ( c0_1 @ a141 )
      | ~ ( c1_1 @ a141 ) )
   <= ( ! [X59: $i] :
          ( ~ ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
      & ( c3_1 @ a141 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl370]) ).

thf('126',plain,
    ( ~ ! [X59: $i] :
          ( ~ ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
    | ~ ( c1_1 @ a141 )
    | ~ ( c3_1 @ a141 )
    | ~ ( c0_1 @ a141 ) ),
    inference(split,[status(esa)],[zip_derived_cl1417]) ).

thf(zip_derived_cl47,plain,
    ! [X60: $i,X61: $i,X62: $i] :
      ( ( c0_1 @ X60 )
      | ( c3_1 @ X60 )
      | ~ ( c1_1 @ X60 )
      | ~ ndr1_0
      | ( c2_1 @ X61 )
      | ( c3_1 @ X61 )
      | ~ ( c0_1 @ X61 )
      | ~ ndr1_0
      | ( c3_1 @ X62 )
      | ~ ( c1_1 @ X62 )
      | ~ ( c2_1 @ X62 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('127',plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c1_1 @ X57 ) )
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl366_072,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c1_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c1_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl631_073,plain,
    ( ~ ( c3_1 @ a111 )
   <= ~ ( c3_1 @ a111 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl2092,plain,
    ( ( ~ ( c1_1 @ a111 )
      | ( c0_1 @ a111 ) )
   <= ( ~ ( c3_1 @ a111 )
      & ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ( c3_1 @ X57 )
          | ~ ( c1_1 @ X57 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl631]) ).

thf('128',plain,
    ( ~ ( c1_1 @ a111 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ( c3_1 @ X57 )
          | ~ ( c1_1 @ X57 ) )
    | ( c0_1 @ a111 )
    | ( c3_1 @ a111 ) ),
    inference(split,[status(esa)],[zip_derived_cl2092]) ).

thf(zip_derived_cl52,plain,
    ! [X71: $i,X72: $i] :
      ( ( c0_1 @ X71 )
      | ( c2_1 @ X71 )
      | ( c3_1 @ X71 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X72 )
      | ~ ( c1_1 @ X72 )
      | ~ ( c3_1 @ X72 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl395,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c2_1 @ X71 )
        | ( c3_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c2_1 @ X71 )
        | ( c3_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl629_074,plain,
    ( ~ ( c2_1 @ a111 )
   <= ~ ( c2_1 @ a111 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl2309,plain,
    ( ( ( c3_1 @ a111 )
      | ( c0_1 @ a111 ) )
   <= ( ~ ( c2_1 @ a111 )
      & ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c2_1 @ X71 )
          | ( c3_1 @ X71 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl629]) ).

thf('129',plain,
    ( ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c2_1 @ X71 )
          | ( c3_1 @ X71 ) )
    | ( c0_1 @ a111 )
    | ( c2_1 @ a111 )
    | ( c3_1 @ a111 ) ),
    inference(split,[status(esa)],[zip_derived_cl2309]) ).

thf(zip_derived_cl39,plain,
    ! [X47: $i,X48: $i,X49: $i] :
      ( ( c1_1 @ X47 )
      | ( c2_1 @ X47 )
      | ( c3_1 @ X47 )
      | ~ ndr1_0
      | ( c2_1 @ X48 )
      | ( c3_1 @ X48 )
      | ~ ( c0_1 @ X48 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ( c3_1 @ X49 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl342,plain,
    ( ! [X47: $i] :
        ( ( c1_1 @ X47 )
        | ( c2_1 @ X47 )
        | ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c1_1 @ X47 )
        | ( c2_1 @ X47 )
        | ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl629_075,plain,
    ( ~ ( c2_1 @ a111 )
   <= ~ ( c2_1 @ a111 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl1904,plain,
    ( ( ( c3_1 @ a111 )
      | ( c1_1 @ a111 ) )
   <= ( ~ ( c2_1 @ a111 )
      & ! [X47: $i] :
          ( ( c1_1 @ X47 )
          | ( c2_1 @ X47 )
          | ( c3_1 @ X47 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl342,zip_derived_cl629]) ).

thf('130',plain,
    ( ~ ! [X47: $i] :
          ( ( c1_1 @ X47 )
          | ( c2_1 @ X47 )
          | ( c3_1 @ X47 ) )
    | ( c1_1 @ a111 )
    | ( c2_1 @ a111 )
    | ( c3_1 @ a111 ) ),
    inference(split,[status(esa)],[zip_derived_cl1904]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a111 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( ~ ( c0_1 @ a111 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf('132',plain,
    ( ~ ( c2_1 @ a111 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf('133',plain,
    ( ~ ( c3_1 @ a111 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf('134',plain,
    ( hskp10
    | ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) )
    | ! [X59: $i] :
        ( ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp1
    | ( c2_1 @ a102 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl699,plain,
    ( ( c2_1 @ a102 )
   <= ( c2_1 @ a102 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl419_076,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl2187,plain,
    ( ( ( c0_1 @ a102 )
      | ( c1_1 @ a102 ) )
   <= ( ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ~ ( c2_1 @ X86 ) )
      & ( c2_1 @ a102 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl699,zip_derived_cl419]) ).

thf('135',plain,
    ( ~ ( c2_1 @ a102 )
    | ( c0_1 @ a102 )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ~ ( c2_1 @ X86 ) )
    | ( c1_1 @ a102 ) ),
    inference(split,[status(esa)],[zip_derived_cl2187]) ).

thf('136',plain,
    ( ( c2_1 @ a102 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp1
    | ~ ( c0_1 @ a102 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ~ ( c0_1 @ a102 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp1
    | ~ ( c1_1 @ a102 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( ~ ( c1_1 @ a102 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf('139',plain,
    ( hskp1
    | hskp24
    | ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl88,plain,
    ( ~ hskp26
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('140',plain,
    ( ndr1_0
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl88]) ).

thf(zip_derived_cl164,plain,
    ( ~ hskp7
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('141',plain,
    ( ndr1_0
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl164]) ).

thf(zip_derived_cl192,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('142',plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl3,plain,
    ( hskp26
    | hskp7
    | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('143',plain,
    ( hskp7
    | hskp0
    | hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl557_077,plain,
    ( ~ ( c2_1 @ a135 )
   <= ~ ( c2_1 @ a135 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl243_078,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl898,plain,
    ( ( ~ ( c0_1 @ a135 )
      | ~ ( c1_1 @ a135 ) )
   <= ( ~ ( c2_1 @ a135 )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl557,zip_derived_cl243]) ).

thf('144',plain,
    ( ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
    | ~ ( c1_1 @ a135 )
    | ( c2_1 @ a135 )
    | ~ ( c0_1 @ a135 ) ),
    inference(split,[status(esa)],[zip_derived_cl898]) ).

thf(zip_derived_cl342_079,plain,
    ( ! [X47: $i] :
        ( ( c1_1 @ X47 )
        | ( c2_1 @ X47 )
        | ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c1_1 @ X47 )
        | ( c2_1 @ X47 )
        | ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl557_080,plain,
    ( ~ ( c2_1 @ a135 )
   <= ~ ( c2_1 @ a135 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl1909,plain,
    ( ( ( c3_1 @ a135 )
      | ( c1_1 @ a135 ) )
   <= ( ~ ( c2_1 @ a135 )
      & ! [X47: $i] :
          ( ( c1_1 @ X47 )
          | ( c2_1 @ X47 )
          | ( c3_1 @ X47 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl342,zip_derived_cl557]) ).

thf('145',plain,
    ( ( c1_1 @ a135 )
    | ~ ! [X47: $i] :
          ( ( c1_1 @ X47 )
          | ( c2_1 @ X47 )
          | ( c3_1 @ X47 ) )
    | ( c3_1 @ a135 )
    | ( c2_1 @ a135 ) ),
    inference(split,[status(esa)],[zip_derived_cl1909]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp24
    | ~ ( c1_1 @ a163 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ~ ( c1_1 @ a163 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp24
    | ~ ( c2_1 @ a163 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('147',plain,
    ( ~ ( c2_1 @ a163 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp24
    | ~ ( c3_1 @ a163 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( ~ ( c3_1 @ a163 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl342_081,plain,
    ( ! [X47: $i] :
        ( ( c1_1 @ X47 )
        | ( c2_1 @ X47 )
        | ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c1_1 @ X47 )
        | ( c2_1 @ X47 )
        | ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl517,plain,
    ( ~ ( c2_1 @ a163 )
   <= ~ ( c2_1 @ a163 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl1912,plain,
    ( ( ( c3_1 @ a163 )
      | ( c1_1 @ a163 ) )
   <= ( ~ ( c2_1 @ a163 )
      & ! [X47: $i] :
          ( ( c1_1 @ X47 )
          | ( c2_1 @ X47 )
          | ( c3_1 @ X47 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl342,zip_derived_cl517]) ).

thf('149',plain,
    ( ( c1_1 @ a163 )
    | ( c2_1 @ a163 )
    | ~ ! [X47: $i] :
          ( ( c1_1 @ X47 )
          | ( c2_1 @ X47 )
          | ( c3_1 @ X47 ) )
    | ( c3_1 @ a163 ) ),
    inference(split,[status(esa)],[zip_derived_cl1912]) ).

thf(zip_derived_cl469_082,plain,
    ( ( c2_1 @ a131 )
   <= ( c2_1 @ a131 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl290_083,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1432,plain,
    ( ( ( c1_1 @ a131 )
      | ~ ( c0_1 @ a131 ) )
   <= ( ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
      & ( c2_1 @ a131 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl469,zip_derived_cl290]) ).

thf('150',plain,
    ( ( c1_1 @ a131 )
    | ~ ( c2_1 @ a131 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
    | ~ ( c0_1 @ a131 ) ),
    inference(split,[status(esa)],[zip_derived_cl1432]) ).

thf('151',plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X47: $i] :
        ( ( c1_1 @ X47 )
        | ( c2_1 @ X47 )
        | ( c3_1 @ X47 ) )
    | ~ ndr1_0
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp29
    | ( c0_1 @ a128 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('152',plain,
    ( ( c0_1 @ a128 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp29
    | ( c1_1 @ a128 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( ( c1_1 @ a128 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf('154',plain,
    ( ( c2_1 @ a128 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl15,plain,
    ! [X8: $i] :
      ( ( c2_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ndr1_0
      | hskp29
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('155',plain,
    ( hskp4
    | hskp29
    | ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf('156',plain,
    ( ( c2_1 @ a105 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl675_084,plain,
    ( ( c2_1 @ a105 )
   <= ( c2_1 @ a105 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl290_085,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1865,plain,
    ( ( ( c1_1 @ a105 )
      | ~ ( c0_1 @ a105 ) )
   <= ( ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
      & ( c2_1 @ a105 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl290]) ).

thf('157',plain,
    ( ~ ( c0_1 @ a105 )
    | ~ ( c2_1 @ a105 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
    | ( c1_1 @ a105 ) ),
    inference(split,[status(esa)],[zip_derived_cl1865]) ).

thf(zip_derived_cl677_086,plain,
    ( ( c3_1 @ a105 )
   <= ( c3_1 @ a105 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl400_087,plain,
    ( ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c1_1 @ X73 )
        | ~ ( c3_1 @ X73 ) )
   <= ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c1_1 @ X73 )
        | ~ ( c3_1 @ X73 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl2154,plain,
    ( ( ( c0_1 @ a105 )
      | ( c1_1 @ a105 ) )
   <= ( ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c1_1 @ X73 )
          | ~ ( c3_1 @ X73 ) )
      & ( c3_1 @ a105 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl400]) ).

thf('158',plain,
    ( ~ ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c1_1 @ X73 )
          | ~ ( c3_1 @ X73 ) )
    | ( c0_1 @ a105 )
    | ( c1_1 @ a105 )
    | ~ ( c3_1 @ a105 ) ),
    inference(split,[status(esa)],[zip_derived_cl2154]) ).

thf(zip_derived_cl57,plain,
    ! [X83: $i,X84: $i,X85: $i] :
      ( ( c0_1 @ X83 )
      | ( c1_1 @ X83 )
      | ~ ( c3_1 @ X83 )
      | ~ ndr1_0
      | ( c0_1 @ X84 )
      | ( c2_1 @ X84 )
      | ~ ( c3_1 @ X84 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X85 )
      | ~ ( c1_1 @ X85 )
      | ~ ( c3_1 @ X85 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('159',plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ~ ( c3_1 @ X66 ) )
    | ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c1_1 @ X73 )
        | ~ ( c3_1 @ X73 ) )
    | ! [X59: $i] :
        ( ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp12
    | ( c3_1 @ a113 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('160',plain,
    ( ( c3_1 @ a113 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a113 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('161',plain,
    ( ~ ( c0_1 @ a113 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a113 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( ~ ( c2_1 @ a113 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl382_088,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ~ ( c3_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ~ ( c3_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl615,plain,
    ( ~ ( c2_1 @ a113 )
   <= ~ ( c2_1 @ a113 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl2219,plain,
    ( ( ~ ( c3_1 @ a113 )
      | ( c0_1 @ a113 ) )
   <= ( ~ ( c2_1 @ a113 )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c2_1 @ X66 )
          | ~ ( c3_1 @ X66 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl615]) ).

thf('163',plain,
    ( ( c0_1 @ a113 )
    | ( c2_1 @ a113 )
    | ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c2_1 @ X66 )
          | ~ ( c3_1 @ X66 ) )
    | ~ ( c3_1 @ a113 ) ),
    inference(split,[status(esa)],[zip_derived_cl2219]) ).

thf(zip_derived_cl16,plain,
    ! [X9: $i,X10: $i] :
      ( ( c2_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ( c1_1 @ X9 )
      | ~ ndr1_0
      | ( c3_1 @ X10 )
      | ~ ( c1_1 @ X10 )
      | ~ ( c2_1 @ X10 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | hskp12
    | ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp13
    | ( c1_1 @ a114 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('165',plain,
    ( ( c1_1 @ a114 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf('166',plain,
    ( ( c2_1 @ a114 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf('167',plain,
    ( ~ ( c3_1 @ a114 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl605_089,plain,
    ( ( c2_1 @ a114 )
   <= ( c2_1 @ a114 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl227_090,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1702,plain,
    ( ( ( c3_1 @ a114 )
      | ~ ( c1_1 @ a114 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c2_1 @ a114 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl605,zip_derived_cl227]) ).

thf('168',plain,
    ( ~ ( c1_1 @ a114 )
    | ~ ( c2_1 @ a114 )
    | ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ( c3_1 @ a114 ) ),
    inference(split,[status(esa)],[zip_derived_cl1702]) ).

thf('169',plain,
    ( hskp13
    | ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c2_1 @ X71 )
        | ( c3_1 @ X71 ) )
    | ! [X59: $i] :
        ( ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl8020,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN466+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Gt7RnindbN true
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 18:26:17 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.92/1.58  % Solved by fo/fo1_av.sh.
% 5.92/1.58  % done 2233 iterations in 0.765s
% 5.92/1.58  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.92/1.58  % SZS output start Refutation
% See solution above
% 5.92/1.59  
% 5.92/1.59  
% 5.92/1.59  % Terminating...
% 5.92/1.67  % Runner terminated.
% 5.92/1.68  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------