TSTP Solution File: SYN499+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN499+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xsqMJRTvWR true

% Computer : n027.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 04:04:10 EDT 2023

% Result   : Theorem 5.52s 1.50s
% Output   : Refutation 5.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   68
% Syntax   : Number of formulae    :  657 (   1 unt;  67 typ;   0 def)
%            Number of atoms       : 4228 (   0 equ;   0 cnn)
%            Maximal formula atoms :  775 (   7 avg)
%            Number of connectives : 8946 (2136   ~;2648   |; 496   &;3172   @)
%                                         (   0 <=>; 254  =>; 240  <=;   0 <~>)
%            Maximal formula depth :  114 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   68 (  67 usr;  64 con; 0-1 aty)
%            Number of variables   :  742 (   0   ^; 742   !;   0   ?; 742   :)

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

thf(a127_type,type,
    a127: $i ).

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

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

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

thf(a179_type,type,
    a179: $i ).

thf(a133_type,type,
    a133: $i ).

thf(a154_type,type,
    a154: $i ).

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

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

thf(a123_type,type,
    a123: $i ).

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

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

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

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

thf(a124_type,type,
    a124: $i ).

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

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

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

thf(a164_type,type,
    a164: $i ).

thf(a176_type,type,
    a176: $i ).

thf(a136_type,type,
    a136: $i ).

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

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

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

thf(a140_type,type,
    a140: $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(hskp17_type,type,
    hskp17: $o ).

thf(a138_type,type,
    a138: $i ).

thf(a142_type,type,
    a142: $i ).

thf(a160_type,type,
    a160: $i ).

thf(a170_type,type,
    a170: $i ).

thf(a225_type,type,
    a225: $i ).

thf(a155_type,type,
    a155: $i ).

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

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

thf(a168_type,type,
    a168: $i ).

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

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

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

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

thf(a189_type,type,
    a189: $i ).

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

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

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

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

thf(a147_type,type,
    a147: $i ).

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

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

thf(a130_type,type,
    a130: $i ).

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

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

thf(a182_type,type,
    a182: $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(a125_type,type,
    a125: $i ).

thf(a122_type,type,
    a122: $i ).

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

thf(c1_1_type,type,
    c1_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 @ a123 )
          & ~ ( c0_1 @ a123 )
          & ~ ( c1_1 @ a123 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c1_1 @ a124 )
          & ( c2_1 @ a124 )
          & ~ ( c3_1 @ a124 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c1_1 @ a125 )
          & ( c2_1 @ a125 )
          & ~ ( c0_1 @ a125 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c1_1 @ a127 )
          & ~ ( c2_1 @ a127 )
          & ~ ( c3_1 @ a127 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c0_1 @ a128 )
          & ( c1_1 @ a128 )
          & ~ ( c3_1 @ a128 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ ( c0_1 @ a130 )
          & ~ ( c1_1 @ a130 )
          & ~ ( c3_1 @ a130 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ ( c0_1 @ a131 )
          & ~ ( c1_1 @ a131 )
          & ~ ( c2_1 @ a131 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c3_1 @ a132 )
          & ~ ( c0_1 @ a132 )
          & ~ ( c2_1 @ a132 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c2_1 @ a134 )
          & ~ ( c0_1 @ a134 )
          & ~ ( c3_1 @ a134 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c0_1 @ a138 )
          & ( c1_1 @ a138 )
          & ~ ( c2_1 @ a138 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c0_1 @ a140 )
          & ~ ( c2_1 @ a140 )
          & ~ ( c3_1 @ a140 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ ( c1_1 @ a141 )
          & ~ ( c2_1 @ a141 )
          & ~ ( c3_1 @ a141 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c0_1 @ a142 )
          & ( c3_1 @ a142 )
          & ~ ( c1_1 @ a142 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c2_1 @ a143 )
          & ( c3_1 @ a143 )
          & ~ ( c1_1 @ a143 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c0_1 @ a147 )
          & ~ ( c1_1 @ a147 )
          & ~ ( c3_1 @ a147 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c2_1 @ a153 )
          & ( c3_1 @ a153 )
          & ~ ( c0_1 @ a153 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c1_1 @ a154 )
          & ( c3_1 @ a154 )
          & ~ ( c0_1 @ a154 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c1_1 @ a155 )
          & ~ ( c0_1 @ a155 )
          & ~ ( c2_1 @ a155 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c3_1 @ a160 )
          & ~ ( c1_1 @ a160 )
          & ~ ( c2_1 @ a160 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c1_1 @ a164 )
          & ( c3_1 @ a164 )
          & ~ ( c2_1 @ a164 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c1_1 @ a168 )
          & ~ ( c0_1 @ a168 )
          & ~ ( c3_1 @ a168 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c0_1 @ a170 )
          & ( c2_1 @ a170 )
          & ~ ( c1_1 @ a170 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c0_1 @ a176 )
          & ~ ( c1_1 @ a176 )
          & ~ ( c2_1 @ a176 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c2_1 @ a179 )
          & ~ ( c1_1 @ a179 )
          & ~ ( c3_1 @ a179 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ ( c0_1 @ a182 )
          & ~ ( c2_1 @ a182 )
          & ~ ( c3_1 @ a182 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c3_1 @ a189 )
          & ~ ( c0_1 @ a189 )
          & ~ ( c1_1 @ a189 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a225 )
          & ( c2_1 @ a225 )
          & ~ ( c3_1 @ a225 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a122 )
          & ( c2_1 @ a122 )
          & ( c3_1 @ a122 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c1_1 @ a133 )
          & ( c2_1 @ a133 )
          & ( c3_1 @ a133 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a136 )
          & ( c1_1 @ a136 )
          & ( c2_1 @ a136 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a167 )
          & ( c1_1 @ a167 )
          & ( c3_1 @ a167 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c1_1 @ V )
              | ( c3_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c2_1 @ W )
              | ~ ( c1_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 )
              | ( c2_1 @ Y )
              | ~ ( c1_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c2_1 @ Z )
              | ~ ( c3_1 @ Z ) ) ) )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c2_1 @ X1 ) ) )
        | ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c2_1 @ X2 )
              | ~ ( c1_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X3 )
              | ( c3_1 @ X3 )
              | ~ ( c0_1 @ X3 ) ) ) )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c1_1 @ X4 )
              | ( c2_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c3_1 @ X5 )
              | ~ ( c2_1 @ X5 ) ) )
        | hskp27 )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c1_1 @ X6 )
              | ( c2_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X7 )
              | ( c3_1 @ X7 )
              | ~ ( c1_1 @ X7 ) ) )
        | hskp0 )
      & ( ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ( c1_1 @ X8 )
              | ( c2_1 @ X8 ) ) )
        | ! [X9: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X9 )
              | ~ ( c0_1 @ X9 )
              | ~ ( c1_1 @ X9 ) ) )
        | hskp1 )
      & ( ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ( c2_1 @ X10 ) ) )
        | hskp2
        | hskp1 )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c1_1 @ X11 )
              | ( c3_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X12 )
              | ( c3_1 @ X12 )
              | ~ ( c1_1 @ X12 ) ) )
        | hskp3 )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c1_1 @ X13 )
              | ~ ( c2_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ( c2_1 @ X14 )
              | ~ ( c1_1 @ X14 ) ) )
        | hskp4 )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c2_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X16 )
              | ~ ( c0_1 @ X16 )
              | ~ ( c2_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X17 )
              | ~ ( c2_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) ) )
      & ( ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ( c1_1 @ X18 )
              | ~ ( c2_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X19 )
              | ~ ( c0_1 @ X19 )
              | ~ ( c2_1 @ X19 ) ) )
        | hskp27 )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c1_1 @ X20 )
              | ~ ( c2_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X21 )
              | ~ ( c1_1 @ X21 )
              | ~ ( c2_1 @ X21 ) ) )
        | hskp5 )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c1_1 @ X22 )
              | ~ ( c3_1 @ X22 ) ) )
        | ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c2_1 @ X23 )
              | ~ ( c1_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X24 )
              | ~ ( c1_1 @ X24 )
              | ~ ( c2_1 @ X24 ) ) ) )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c1_1 @ X25 )
              | ~ ( c3_1 @ X25 ) ) )
        | ! [X26: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X26 )
              | ( c2_1 @ X26 )
              | ~ ( c3_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X27 )
              | ~ ( c2_1 @ X27 )
              | ~ ( c3_1 @ X27 ) ) ) )
      & ( ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c1_1 @ X28 )
              | ~ ( c3_1 @ X28 ) ) )
        | ! [X29: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X29 )
              | ~ ( c0_1 @ X29 )
              | ~ ( c3_1 @ X29 ) ) )
        | hskp6 )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ( c1_1 @ X30 )
              | ~ ( c3_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X31 )
              | ~ ( c0_1 @ X31 )
              | ~ ( c1_1 @ X31 ) ) )
        | hskp7 )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c1_1 @ X32 )
              | ~ ( c3_1 @ X32 ) ) )
        | hskp28
        | hskp8 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c2_1 @ X33 )
              | ( c3_1 @ X33 ) ) )
        | ! [X34: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X34 )
              | ~ ( c2_1 @ X34 )
              | ~ ( c3_1 @ X34 ) ) )
        | hskp8 )
      & ( ! [X35: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X35 )
              | ( c2_1 @ X35 )
              | ( c3_1 @ X35 ) ) )
        | hskp29
        | hskp7 )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c2_1 @ X36 )
              | ( c3_1 @ X36 ) ) )
        | hskp9
        | hskp7 )
      & ( ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ( c2_1 @ X37 )
              | ( c3_1 @ X37 ) ) )
        | hskp10
        | hskp11 )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ( c2_1 @ X38 )
              | ~ ( c1_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ( c2_1 @ X39 )
              | ~ ( c3_1 @ X39 ) ) )
        | ! [X40: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X40 )
              | ~ ( c0_1 @ X40 )
              | ~ ( c3_1 @ X40 ) ) ) )
      & ( ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ( c2_1 @ X41 )
              | ~ ( c1_1 @ X41 ) ) )
        | ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ( c2_1 @ X42 )
              | ~ ( c3_1 @ X42 ) ) )
        | hskp12 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ( c2_1 @ X43 )
              | ~ ( c1_1 @ X43 ) ) )
        | ! [X44: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X44 )
              | ( c2_1 @ X44 )
              | ~ ( c0_1 @ X44 ) ) )
        | hskp13 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ( c2_1 @ X45 )
              | ~ ( c1_1 @ X45 ) ) )
        | ! [X46: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X46 )
              | ~ ( c0_1 @ X46 )
              | ~ ( c1_1 @ X46 ) ) )
        | hskp28 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X47 )
              | ( c2_1 @ X47 )
              | ~ ( c1_1 @ X47 ) ) )
        | hskp28
        | hskp3 )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ( c2_1 @ X48 )
              | ~ ( c3_1 @ X48 ) ) )
        | ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ( c3_1 @ X49 )
              | ~ ( c2_1 @ X49 ) ) )
        | hskp14 )
      & ( ! [X50: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X50 )
              | ( c2_1 @ X50 )
              | ~ ( c3_1 @ X50 ) ) )
        | ! [X51: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X51 )
              | ~ ( c1_1 @ X51 )
              | ~ ( c2_1 @ X51 ) ) )
        | ! [X52: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X52 )
              | ( c2_1 @ X52 )
              | ~ ( c0_1 @ X52 ) ) ) )
      & ( ! [X53: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X53 )
              | ( c2_1 @ X53 )
              | ~ ( c3_1 @ X53 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X54 )
              | ( c3_1 @ X54 )
              | ~ ( c1_1 @ X54 ) ) )
        | hskp29 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X55 )
              | ( c2_1 @ X55 )
              | ~ ( c3_1 @ X55 ) ) )
        | ! [X56: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X56 )
              | ~ ( c0_1 @ X56 )
              | ~ ( c2_1 @ X56 ) ) )
        | hskp12 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X57 )
              | ( c2_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | hskp14
        | hskp7 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X58 )
              | ( c2_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | hskp10
        | hskp15 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X59 )
              | ( c3_1 @ X59 )
              | ~ ( c1_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X60 )
              | ~ ( c1_1 @ X60 )
              | ~ ( c2_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X61 )
              | ~ ( c2_1 @ X61 )
              | ~ ( c3_1 @ X61 ) ) ) )
      & ( ! [X62: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X62 )
              | ( c3_1 @ X62 )
              | ~ ( c1_1 @ X62 ) ) )
        | ! [X63: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X63 )
              | ~ ( c2_1 @ X63 )
              | ~ ( c3_1 @ X63 ) ) )
        | hskp16 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X64 )
              | ( c3_1 @ X64 )
              | ~ ( c2_1 @ X64 ) ) )
        | ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ( c2_1 @ X65 )
              | ~ ( c3_1 @ X65 ) ) )
        | ! [X66: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X66 )
              | ~ ( c1_1 @ X66 )
              | ~ ( c2_1 @ X66 ) ) ) )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X67 )
              | ( c3_1 @ X67 )
              | ~ ( c2_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X68 )
              | ( c3_1 @ X68 )
              | ~ ( c1_1 @ X68 ) ) )
        | ! [X69: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X69 )
              | ~ ( c1_1 @ X69 )
              | ~ ( c3_1 @ X69 ) ) ) )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X70 )
              | ~ ( c1_1 @ X70 )
              | ~ ( c2_1 @ X70 ) ) )
        | ! [X71: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X71 )
              | ( c3_1 @ X71 )
              | ~ ( c2_1 @ X71 ) ) )
        | ! [X72: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X72 )
              | ~ ( c1_1 @ X72 )
              | ~ ( c2_1 @ X72 ) ) ) )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X73 )
              | ~ ( c1_1 @ X73 )
              | ~ ( c3_1 @ X73 ) ) )
        | hskp17
        | hskp0 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X74 )
              | ~ ( c2_1 @ X74 )
              | ~ ( c3_1 @ X74 ) ) )
        | ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ( c2_1 @ X75 )
              | ~ ( c0_1 @ X75 ) ) )
        | ! [X76: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X76 )
              | ~ ( c1_1 @ X76 )
              | ~ ( c3_1 @ X76 ) ) ) )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X77 )
              | ~ ( c2_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) )
        | hskp29
        | hskp7 )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X78 )
              | ~ ( c2_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | hskp0
        | hskp18 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X79 )
              | ( c2_1 @ X79 )
              | ( c3_1 @ X79 ) ) )
        | ! [X80: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X80 )
              | ~ ( c0_1 @ X80 )
              | ~ ( c1_1 @ X80 ) ) )
        | hskp12 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X81 )
              | ( c2_1 @ X81 )
              | ( c3_1 @ X81 ) ) )
        | hskp2
        | hskp16 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ( c2_1 @ X82 )
              | ~ ( c0_1 @ X82 ) ) )
        | hskp19
        | hskp17 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X83 )
              | ( c2_1 @ X83 )
              | ~ ( c3_1 @ X83 ) ) )
        | ! [X84: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X84 )
              | ( c3_1 @ X84 )
              | ~ ( c1_1 @ X84 ) ) )
        | ! [X85: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X85 )
              | ~ ( c0_1 @ X85 )
              | ~ ( c3_1 @ X85 ) ) ) )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X86 )
              | ( c2_1 @ X86 )
              | ~ ( c3_1 @ X86 ) ) )
        | ! [X87: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X87 )
              | ~ ( c2_1 @ X87 )
              | ~ ( c3_1 @ X87 ) ) )
        | hskp6 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X88 )
              | ( c3_1 @ X88 )
              | ~ ( c2_1 @ X88 ) ) )
        | hskp30
        | hskp20 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X89 )
              | ~ ( c0_1 @ X89 )
              | ~ ( c3_1 @ X89 ) ) )
        | ! [X90: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X90 )
              | ~ ( c0_1 @ X90 )
              | ~ ( c1_1 @ X90 ) ) )
        | hskp7 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X91 )
              | ~ ( c0_1 @ X91 )
              | ~ ( c3_1 @ X91 ) ) )
        | hskp21
        | hskp6 )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X92 )
              | ~ ( c0_1 @ X92 )
              | ~ ( c3_1 @ X92 ) ) )
        | hskp3
        | hskp15 )
      & ( ! [X93: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X93 )
              | ~ ( c0_1 @ X93 )
              | ~ ( c3_1 @ X93 ) ) )
        | hskp0
        | hskp7 )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X94 )
              | ~ ( c2_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) )
        | ! [X95: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X95 )
              | ~ ( c1_1 @ X95 )
              | ~ ( c2_1 @ X95 ) ) )
        | ! [X96: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X96 )
              | ~ ( c1_1 @ X96 )
              | ~ ( c3_1 @ X96 ) ) ) )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X97 )
              | ~ ( c2_1 @ X97 )
              | ~ ( c3_1 @ X97 ) ) )
        | hskp22
        | hskp7 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X98 )
              | ~ ( c2_1 @ X98 )
              | ~ ( c3_1 @ X98 ) ) )
        | hskp8
        | hskp23 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X99 )
              | ( c3_1 @ X99 )
              | ~ ( c1_1 @ X99 ) ) )
        | ! [X100: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X100 )
              | ~ ( c0_1 @ X100 )
              | ~ ( c1_1 @ X100 ) ) )
        | hskp9 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X101 )
              | ( c3_1 @ X101 )
              | ~ ( c1_1 @ X101 ) ) )
        | ! [X102: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X102 )
              | ~ ( c1_1 @ X102 )
              | ~ ( c2_1 @ X102 ) ) )
        | ! [X103: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X103 )
              | ~ ( c2_1 @ X103 )
              | ~ ( c3_1 @ X103 ) ) ) )
      & ( ! [X104: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X104 )
              | ( c3_1 @ X104 )
              | ~ ( c1_1 @ X104 ) ) )
        | hskp15
        | hskp24 )
      & ( ! [X105: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X105 )
              | ~ ( c0_1 @ X105 )
              | ~ ( c1_1 @ X105 ) ) )
        | hskp9
        | hskp22 )
      & ( ! [X106: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X106 )
              | ~ ( c0_1 @ X106 )
              | ~ ( c1_1 @ X106 ) ) )
        | hskp10
        | hskp18 )
      & ( ! [X107: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X107 )
              | ~ ( c0_1 @ X107 )
              | ~ ( c3_1 @ X107 ) ) )
        | hskp1
        | hskp3 )
      & ( ! [X108: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X108 )
              | ~ ( c0_1 @ X108 )
              | ~ ( c3_1 @ X108 ) ) )
        | hskp25
        | hskp6 )
      & ( ! [X109: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X109 )
              | ~ ( c1_1 @ X109 )
              | ~ ( c3_1 @ X109 ) ) )
        | hskp17
        | hskp13 )
      & ( ! [X110: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X110 )
              | ~ ( c1_1 @ X110 )
              | ~ ( c3_1 @ X110 ) ) )
        | hskp17
        | hskp24 )
      & ( ! [X111: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X111 )
              | ~ ( c1_1 @ X111 )
              | ~ ( c3_1 @ X111 ) ) )
        | hskp15
        | hskp13 )
      & ( ! [X112: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X112 )
              | ~ ( c0_1 @ X112 )
              | ~ ( c1_1 @ X112 ) ) )
        | hskp12
        | hskp11 )
      & ( ! [X113: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X113 )
              | ~ ( c0_1 @ X113 )
              | ~ ( c1_1 @ X113 ) ) )
        | hskp7
        | hskp24 )
      & ( ! [X114: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X114 )
              | ~ ( c1_1 @ X114 )
              | ~ ( c2_1 @ X114 ) ) )
        | hskp27
        | hskp19 )
      & ( ! [X115: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X115 )
              | ~ ( c1_1 @ X115 )
              | ~ ( c2_1 @ X115 ) ) )
        | hskp22 )
      & ( ! [X116: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X116 )
              | ~ ( c1_1 @ X116 )
              | ~ ( c2_1 @ X116 ) ) )
        | hskp14
        | hskp23 )
      & ( ! [X117: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X117 )
              | ~ ( c1_1 @ X117 )
              | ~ ( c2_1 @ X117 ) ) )
        | hskp14
        | hskp25 )
      & ( ! [X118: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X118 )
              | ~ ( c1_1 @ X118 )
              | ~ ( c3_1 @ X118 ) ) )
        | hskp22
        | hskp10 )
      & ( ! [X119: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X119 )
              | ~ ( c1_1 @ X119 )
              | ~ ( c3_1 @ X119 ) ) )
        | hskp2
        | hskp19 )
      & ( ! [X120: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X120 )
              | ~ ( c2_1 @ X120 )
              | ~ ( c3_1 @ X120 ) ) )
        | hskp9
        | hskp8 )
      & ( ! [X121: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X121 )
              | ~ ( c2_1 @ X121 )
              | ~ ( c3_1 @ X121 ) ) )
        | hskp3
        | hskp13 )
      & ( hskp30
        | hskp9
        | hskp6 )
      & ( hskp27
        | hskp3
        | hskp15 )
      & ( hskp21
        | hskp20
        | hskp6 )
      & ( hskp26
        | hskp20
        | hskp15 )
      & ( hskp12
        | hskp19
        | hskp13 )
      & ( hskp2
        | hskp19
        | hskp8 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c2_1 @ a123 )
        & ~ ( c0_1 @ a123 )
        & ~ ( c1_1 @ a123 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c1_1 @ a124 )
        & ( c2_1 @ a124 )
        & ~ ( c3_1 @ a124 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c1_1 @ a125 )
        & ( c2_1 @ a125 )
        & ~ ( c0_1 @ a125 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c1_1 @ a127 )
        & ~ ( c2_1 @ a127 )
        & ~ ( c3_1 @ a127 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c0_1 @ a128 )
        & ( c1_1 @ a128 )
        & ~ ( c3_1 @ a128 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ ( c0_1 @ a130 )
        & ~ ( c1_1 @ a130 )
        & ~ ( c3_1 @ a130 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ ( c0_1 @ a131 )
        & ~ ( c1_1 @ a131 )
        & ~ ( c2_1 @ a131 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c3_1 @ a132 )
        & ~ ( c0_1 @ a132 )
        & ~ ( c2_1 @ a132 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c2_1 @ a134 )
        & ~ ( c0_1 @ a134 )
        & ~ ( c3_1 @ a134 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c0_1 @ a138 )
        & ( c1_1 @ a138 )
        & ~ ( c2_1 @ a138 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c0_1 @ a140 )
        & ~ ( c2_1 @ a140 )
        & ~ ( c3_1 @ a140 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ ( c1_1 @ a141 )
        & ~ ( c2_1 @ a141 )
        & ~ ( c3_1 @ a141 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c0_1 @ a142 )
        & ( c3_1 @ a142 )
        & ~ ( c1_1 @ a142 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c2_1 @ a143 )
        & ( c3_1 @ a143 )
        & ~ ( c1_1 @ a143 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c0_1 @ a147 )
        & ~ ( c1_1 @ a147 )
        & ~ ( c3_1 @ a147 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c2_1 @ a153 )
        & ( c3_1 @ a153 )
        & ~ ( c0_1 @ a153 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c1_1 @ a154 )
        & ( c3_1 @ a154 )
        & ~ ( c0_1 @ a154 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c1_1 @ a155 )
        & ~ ( c0_1 @ a155 )
        & ~ ( c2_1 @ a155 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c3_1 @ a160 )
        & ~ ( c1_1 @ a160 )
        & ~ ( c2_1 @ a160 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c1_1 @ a164 )
        & ( c3_1 @ a164 )
        & ~ ( c2_1 @ a164 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c1_1 @ a168 )
        & ~ ( c0_1 @ a168 )
        & ~ ( c3_1 @ a168 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c0_1 @ a170 )
        & ( c2_1 @ a170 )
        & ~ ( c1_1 @ a170 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c0_1 @ a176 )
        & ~ ( c1_1 @ a176 )
        & ~ ( c2_1 @ a176 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c2_1 @ a179 )
        & ~ ( c1_1 @ a179 )
        & ~ ( c3_1 @ a179 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ ( c0_1 @ a182 )
        & ~ ( c2_1 @ a182 )
        & ~ ( c3_1 @ a182 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c3_1 @ a189 )
        & ~ ( c0_1 @ a189 )
        & ~ ( c1_1 @ a189 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a225 )
        & ( c2_1 @ a225 )
        & ~ ( c3_1 @ a225 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a122 )
        & ( c2_1 @ a122 )
        & ( c3_1 @ a122 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c1_1 @ a133 )
        & ( c2_1 @ a133 )
        & ( c3_1 @ a133 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a136 )
        & ( c1_1 @ a136 )
        & ( c2_1 @ a136 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a167 )
        & ( c1_1 @ a167 )
        & ( c3_1 @ a167 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c1_1 @ V )
            | ( c3_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c2_1 @ W )
            | ~ ( c1_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 )
            | ( c2_1 @ Y )
            | ~ ( c1_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c2_1 @ Z )
            | ~ ( c3_1 @ Z ) ) ) )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c2_1 @ X1 ) ) )
      | ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c2_1 @ X2 )
            | ~ ( c1_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X3 )
            | ( c3_1 @ X3 )
            | ~ ( c0_1 @ X3 ) ) ) )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c1_1 @ X4 )
            | ( c2_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c3_1 @ X5 )
            | ~ ( c2_1 @ X5 ) ) )
      | hskp27 )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c1_1 @ X6 )
            | ( c2_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X7 )
            | ( c3_1 @ X7 )
            | ~ ( c1_1 @ X7 ) ) )
      | hskp0 )
    & ( ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ( c1_1 @ X8 )
            | ( c2_1 @ X8 ) ) )
      | ! [X9: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X9 )
            | ~ ( c0_1 @ X9 )
            | ~ ( c1_1 @ X9 ) ) )
      | hskp1 )
    & ( ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ( c2_1 @ X10 ) ) )
      | hskp2
      | hskp1 )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c1_1 @ X11 )
            | ( c3_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X12 )
            | ( c3_1 @ X12 )
            | ~ ( c1_1 @ X12 ) ) )
      | hskp3 )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c1_1 @ X13 )
            | ~ ( c2_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ( c2_1 @ X14 )
            | ~ ( c1_1 @ X14 ) ) )
      | hskp4 )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c2_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X16 )
            | ~ ( c0_1 @ X16 )
            | ~ ( c2_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X17 )
            | ~ ( c2_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) ) )
    & ( ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ( c1_1 @ X18 )
            | ~ ( c2_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X19 )
            | ~ ( c0_1 @ X19 )
            | ~ ( c2_1 @ X19 ) ) )
      | hskp27 )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c1_1 @ X20 )
            | ~ ( c2_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X21 )
            | ~ ( c1_1 @ X21 )
            | ~ ( c2_1 @ X21 ) ) )
      | hskp5 )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c1_1 @ X22 )
            | ~ ( c3_1 @ X22 ) ) )
      | ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c2_1 @ X23 )
            | ~ ( c1_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X24 )
            | ~ ( c1_1 @ X24 )
            | ~ ( c2_1 @ X24 ) ) ) )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c1_1 @ X25 )
            | ~ ( c3_1 @ X25 ) ) )
      | ! [X26: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X26 )
            | ( c2_1 @ X26 )
            | ~ ( c3_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X27 )
            | ~ ( c2_1 @ X27 )
            | ~ ( c3_1 @ X27 ) ) ) )
    & ( ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c1_1 @ X28 )
            | ~ ( c3_1 @ X28 ) ) )
      | ! [X29: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X29 )
            | ~ ( c0_1 @ X29 )
            | ~ ( c3_1 @ X29 ) ) )
      | hskp6 )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ( c1_1 @ X30 )
            | ~ ( c3_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X31 )
            | ~ ( c0_1 @ X31 )
            | ~ ( c1_1 @ X31 ) ) )
      | hskp7 )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c1_1 @ X32 )
            | ~ ( c3_1 @ X32 ) ) )
      | hskp28
      | hskp8 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c2_1 @ X33 )
            | ( c3_1 @ X33 ) ) )
      | ! [X34: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X34 )
            | ~ ( c2_1 @ X34 )
            | ~ ( c3_1 @ X34 ) ) )
      | hskp8 )
    & ( ! [X35: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X35 )
            | ( c2_1 @ X35 )
            | ( c3_1 @ X35 ) ) )
      | hskp29
      | hskp7 )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c2_1 @ X36 )
            | ( c3_1 @ X36 ) ) )
      | hskp9
      | hskp7 )
    & ( ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ( c2_1 @ X37 )
            | ( c3_1 @ X37 ) ) )
      | hskp10
      | hskp11 )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ( c2_1 @ X38 )
            | ~ ( c1_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ( c2_1 @ X39 )
            | ~ ( c3_1 @ X39 ) ) )
      | ! [X40: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X40 )
            | ~ ( c0_1 @ X40 )
            | ~ ( c3_1 @ X40 ) ) ) )
    & ( ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ( c2_1 @ X41 )
            | ~ ( c1_1 @ X41 ) ) )
      | ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ( c2_1 @ X42 )
            | ~ ( c3_1 @ X42 ) ) )
      | hskp12 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ( c2_1 @ X43 )
            | ~ ( c1_1 @ X43 ) ) )
      | ! [X44: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X44 )
            | ( c2_1 @ X44 )
            | ~ ( c0_1 @ X44 ) ) )
      | hskp13 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ( c2_1 @ X45 )
            | ~ ( c1_1 @ X45 ) ) )
      | ! [X46: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X46 )
            | ~ ( c0_1 @ X46 )
            | ~ ( c1_1 @ X46 ) ) )
      | hskp28 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X47 )
            | ( c2_1 @ X47 )
            | ~ ( c1_1 @ X47 ) ) )
      | hskp28
      | hskp3 )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ( c2_1 @ X48 )
            | ~ ( c3_1 @ X48 ) ) )
      | ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ( c3_1 @ X49 )
            | ~ ( c2_1 @ X49 ) ) )
      | hskp14 )
    & ( ! [X50: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X50 )
            | ( c2_1 @ X50 )
            | ~ ( c3_1 @ X50 ) ) )
      | ! [X51: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X51 )
            | ~ ( c1_1 @ X51 )
            | ~ ( c2_1 @ X51 ) ) )
      | ! [X52: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X52 )
            | ( c2_1 @ X52 )
            | ~ ( c0_1 @ X52 ) ) ) )
    & ( ! [X53: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X53 )
            | ( c2_1 @ X53 )
            | ~ ( c3_1 @ X53 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X54 )
            | ( c3_1 @ X54 )
            | ~ ( c1_1 @ X54 ) ) )
      | hskp29 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X55 )
            | ( c2_1 @ X55 )
            | ~ ( c3_1 @ X55 ) ) )
      | ! [X56: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X56 )
            | ~ ( c0_1 @ X56 )
            | ~ ( c2_1 @ X56 ) ) )
      | hskp12 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X57 )
            | ( c2_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | hskp14
      | hskp7 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X58 )
            | ( c2_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | hskp10
      | hskp15 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X59 )
            | ( c3_1 @ X59 )
            | ~ ( c1_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X60 )
            | ~ ( c1_1 @ X60 )
            | ~ ( c2_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X61 )
            | ~ ( c2_1 @ X61 )
            | ~ ( c3_1 @ X61 ) ) ) )
    & ( ! [X62: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X62 )
            | ( c3_1 @ X62 )
            | ~ ( c1_1 @ X62 ) ) )
      | ! [X63: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X63 )
            | ~ ( c2_1 @ X63 )
            | ~ ( c3_1 @ X63 ) ) )
      | hskp16 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X64 )
            | ( c3_1 @ X64 )
            | ~ ( c2_1 @ X64 ) ) )
      | ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ( c2_1 @ X65 )
            | ~ ( c3_1 @ X65 ) ) )
      | ! [X66: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X66 )
            | ~ ( c1_1 @ X66 )
            | ~ ( c2_1 @ X66 ) ) ) )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X67 )
            | ( c3_1 @ X67 )
            | ~ ( c2_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X68 )
            | ( c3_1 @ X68 )
            | ~ ( c1_1 @ X68 ) ) )
      | ! [X69: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X69 )
            | ~ ( c1_1 @ X69 )
            | ~ ( c3_1 @ X69 ) ) ) )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X70 )
            | ~ ( c1_1 @ X70 )
            | ~ ( c2_1 @ X70 ) ) )
      | ! [X71: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X71 )
            | ( c3_1 @ X71 )
            | ~ ( c2_1 @ X71 ) ) )
      | ! [X72: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X72 )
            | ~ ( c1_1 @ X72 )
            | ~ ( c2_1 @ X72 ) ) ) )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X73 )
            | ~ ( c1_1 @ X73 )
            | ~ ( c3_1 @ X73 ) ) )
      | hskp17
      | hskp0 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X74 )
            | ~ ( c2_1 @ X74 )
            | ~ ( c3_1 @ X74 ) ) )
      | ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ( c2_1 @ X75 )
            | ~ ( c0_1 @ X75 ) ) )
      | ! [X76: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X76 )
            | ~ ( c1_1 @ X76 )
            | ~ ( c3_1 @ X76 ) ) ) )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X77 )
            | ~ ( c2_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) )
      | hskp29
      | hskp7 )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X78 )
            | ~ ( c2_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | hskp0
      | hskp18 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X79 )
            | ( c2_1 @ X79 )
            | ( c3_1 @ X79 ) ) )
      | ! [X80: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X80 )
            | ~ ( c0_1 @ X80 )
            | ~ ( c1_1 @ X80 ) ) )
      | hskp12 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X81 )
            | ( c2_1 @ X81 )
            | ( c3_1 @ X81 ) ) )
      | hskp2
      | hskp16 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ( c2_1 @ X82 )
            | ~ ( c0_1 @ X82 ) ) )
      | hskp19
      | hskp17 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X83 )
            | ( c2_1 @ X83 )
            | ~ ( c3_1 @ X83 ) ) )
      | ! [X84: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X84 )
            | ( c3_1 @ X84 )
            | ~ ( c1_1 @ X84 ) ) )
      | ! [X85: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X85 )
            | ~ ( c0_1 @ X85 )
            | ~ ( c3_1 @ X85 ) ) ) )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X86 )
            | ( c2_1 @ X86 )
            | ~ ( c3_1 @ X86 ) ) )
      | ! [X87: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X87 )
            | ~ ( c2_1 @ X87 )
            | ~ ( c3_1 @ X87 ) ) )
      | hskp6 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X88 )
            | ( c3_1 @ X88 )
            | ~ ( c2_1 @ X88 ) ) )
      | hskp30
      | hskp20 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X89 )
            | ~ ( c0_1 @ X89 )
            | ~ ( c3_1 @ X89 ) ) )
      | ! [X90: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X90 )
            | ~ ( c0_1 @ X90 )
            | ~ ( c1_1 @ X90 ) ) )
      | hskp7 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X91 )
            | ~ ( c0_1 @ X91 )
            | ~ ( c3_1 @ X91 ) ) )
      | hskp21
      | hskp6 )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X92 )
            | ~ ( c0_1 @ X92 )
            | ~ ( c3_1 @ X92 ) ) )
      | hskp3
      | hskp15 )
    & ( ! [X93: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X93 )
            | ~ ( c0_1 @ X93 )
            | ~ ( c3_1 @ X93 ) ) )
      | hskp0
      | hskp7 )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X94 )
            | ~ ( c2_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) )
      | ! [X95: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X95 )
            | ~ ( c1_1 @ X95 )
            | ~ ( c2_1 @ X95 ) ) )
      | ! [X96: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X96 )
            | ~ ( c1_1 @ X96 )
            | ~ ( c3_1 @ X96 ) ) ) )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X97 )
            | ~ ( c2_1 @ X97 )
            | ~ ( c3_1 @ X97 ) ) )
      | hskp22
      | hskp7 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X98 )
            | ~ ( c2_1 @ X98 )
            | ~ ( c3_1 @ X98 ) ) )
      | hskp8
      | hskp23 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X99 )
            | ( c3_1 @ X99 )
            | ~ ( c1_1 @ X99 ) ) )
      | ! [X100: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X100 )
            | ~ ( c0_1 @ X100 )
            | ~ ( c1_1 @ X100 ) ) )
      | hskp9 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X101 )
            | ( c3_1 @ X101 )
            | ~ ( c1_1 @ X101 ) ) )
      | ! [X102: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X102 )
            | ~ ( c1_1 @ X102 )
            | ~ ( c2_1 @ X102 ) ) )
      | ! [X103: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X103 )
            | ~ ( c2_1 @ X103 )
            | ~ ( c3_1 @ X103 ) ) ) )
    & ( ! [X104: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X104 )
            | ( c3_1 @ X104 )
            | ~ ( c1_1 @ X104 ) ) )
      | hskp15
      | hskp24 )
    & ( ! [X105: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X105 )
            | ~ ( c0_1 @ X105 )
            | ~ ( c1_1 @ X105 ) ) )
      | hskp9
      | hskp22 )
    & ( ! [X106: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X106 )
            | ~ ( c0_1 @ X106 )
            | ~ ( c1_1 @ X106 ) ) )
      | hskp10
      | hskp18 )
    & ( ! [X107: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X107 )
            | ~ ( c0_1 @ X107 )
            | ~ ( c3_1 @ X107 ) ) )
      | hskp1
      | hskp3 )
    & ( ! [X108: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X108 )
            | ~ ( c0_1 @ X108 )
            | ~ ( c3_1 @ X108 ) ) )
      | hskp25
      | hskp6 )
    & ( ! [X109: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X109 )
            | ~ ( c1_1 @ X109 )
            | ~ ( c3_1 @ X109 ) ) )
      | hskp17
      | hskp13 )
    & ( ! [X110: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X110 )
            | ~ ( c1_1 @ X110 )
            | ~ ( c3_1 @ X110 ) ) )
      | hskp17
      | hskp24 )
    & ( ! [X111: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X111 )
            | ~ ( c1_1 @ X111 )
            | ~ ( c3_1 @ X111 ) ) )
      | hskp15
      | hskp13 )
    & ( ! [X112: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X112 )
            | ~ ( c0_1 @ X112 )
            | ~ ( c1_1 @ X112 ) ) )
      | hskp12
      | hskp11 )
    & ( ! [X113: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X113 )
            | ~ ( c0_1 @ X113 )
            | ~ ( c1_1 @ X113 ) ) )
      | hskp7
      | hskp24 )
    & ( ! [X114: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X114 )
            | ~ ( c1_1 @ X114 )
            | ~ ( c2_1 @ X114 ) ) )
      | hskp27
      | hskp19 )
    & ( ! [X115: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X115 )
            | ~ ( c1_1 @ X115 )
            | ~ ( c2_1 @ X115 ) ) )
      | hskp22 )
    & ( ! [X116: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X116 )
            | ~ ( c1_1 @ X116 )
            | ~ ( c2_1 @ X116 ) ) )
      | hskp14
      | hskp23 )
    & ( ! [X117: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X117 )
            | ~ ( c1_1 @ X117 )
            | ~ ( c2_1 @ X117 ) ) )
      | hskp14
      | hskp25 )
    & ( ! [X118: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X118 )
            | ~ ( c1_1 @ X118 )
            | ~ ( c3_1 @ X118 ) ) )
      | hskp22
      | hskp10 )
    & ( ! [X119: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X119 )
            | ~ ( c1_1 @ X119 )
            | ~ ( c3_1 @ X119 ) ) )
      | hskp2
      | hskp19 )
    & ( ! [X120: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X120 )
            | ~ ( c2_1 @ X120 )
            | ~ ( c3_1 @ X120 ) ) )
      | hskp9
      | hskp8 )
    & ( ! [X121: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X121 )
            | ~ ( c2_1 @ X121 )
            | ~ ( c3_1 @ X121 ) ) )
      | hskp3
      | hskp13 )
    & ( hskp30
      | hskp9
      | hskp6 )
    & ( hskp27
      | hskp3
      | hskp15 )
    & ( hskp21
      | hskp20
      | hskp6 )
    & ( hskp26
      | hskp20
      | hskp15 )
    & ( hskp12
      | hskp19
      | hskp13 )
    & ( hskp2
      | hskp19
      | hskp8 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp28
    | ( c3_1 @ a133 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ( c3_1 @ a133 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl24,plain,
    ! [X18: $i,X19: $i,X20: $i] :
      ( ( c2_1 @ X18 )
      | ( c3_1 @ X18 )
      | ~ ( c1_1 @ X18 )
      | ~ ndr1_0
      | ( c3_1 @ X19 )
      | ~ ( c1_1 @ X19 )
      | ~ ( c2_1 @ X19 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X20 )
      | ~ ( c2_1 @ X20 )
      | ~ ( c3_1 @ X20 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

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

thf('2',plain,
    ( ! [X35: $i] :
        ( ~ ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
    | ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c1_1 @ X58 ) )
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp27
    | ( c0_1 @ a122 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl543,plain,
    ( ( c0_1 @ a122 )
   <= ( c0_1 @ a122 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl34,plain,
    ! [X34: $i,X35: $i] :
      ( ( c1_1 @ X34 )
      | ( c2_1 @ X34 )
      | ~ ( c3_1 @ X34 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X35 )
      | ~ ( c2_1 @ X35 )
      | ~ ( c3_1 @ X35 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl333,plain,
    ( ! [X35: $i] :
        ( ~ ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ~ ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1053,plain,
    ( ( ~ ( c2_1 @ a122 )
      | ~ ( c3_1 @ a122 ) )
   <= ( ! [X35: $i] :
          ( ~ ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
      & ( c0_1 @ a122 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl543,zip_derived_cl333]) ).

thf('3',plain,
    ( ~ ( c2_1 @ a122 )
    | ~ ( c3_1 @ a122 )
    | ~ ! [X35: $i] :
          ( ~ ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ~ ( c0_1 @ a122 ) ),
    inference(split,[status(esa)],[zip_derived_cl1053]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp27
    | ( c2_1 @ a122 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( ( c2_1 @ a122 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl13,plain,
    ! [X7: $i] :
      ( ( c3_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ( c2_1 @ X7 )
      | ~ ndr1_0
      | hskp27
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( hskp27
    | hskp19
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp9
    | ( c0_1 @ a138 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( ( c0_1 @ a138 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl687,plain,
    ( ( c0_1 @ a138 )
   <= ( c0_1 @ a138 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0
      | hskp2
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl230,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1201,plain,
    ( ( ~ ( c1_1 @ a138 )
      | ~ ( c3_1 @ a138 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c0_1 @ a138 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl687,zip_derived_cl230]) ).

thf('7',plain,
    ( ~ ( c3_1 @ a138 )
    | ~ ( c1_1 @ a138 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c0_1 @ a138 ) ),
    inference(split,[status(esa)],[zip_derived_cl1201]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp9
    | ( c1_1 @ a138 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( ( c1_1 @ a138 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp9
    | ~ ( c2_1 @ a138 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( ~ ( c2_1 @ a138 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl60,plain,
    ! [X85: $i] :
      ( ( c0_1 @ X85 )
      | ( c2_1 @ X85 )
      | ( c3_1 @ X85 )
      | ~ ndr1_0
      | hskp9
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( hskp9
    | ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c2_1 @ X84 )
        | ( c3_1 @ X84 ) )
    | hskp7
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl14,plain,
    ! [X8: $i] :
      ( ( c3_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ndr1_0
      | hskp7
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( hskp24
    | hskp7
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp29
    | ( c0_1 @ a136 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl527,plain,
    ( ( c0_1 @ a136 )
   <= ( c0_1 @ a136 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl253,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1016,plain,
    ( ( ( c3_1 @ a136 )
      | ~ ( c1_1 @ a136 ) )
   <= ( ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ( c0_1 @ a136 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl253]) ).

thf('12',plain,
    ( ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ( c3_1 @ a136 )
    | ~ ( c0_1 @ a136 )
    | ~ ( c1_1 @ a136 ) ),
    inference(split,[status(esa)],[zip_derived_cl1016]) ).

thf(zip_derived_cl67,plain,
    ! [X97: $i,X98: $i,X99: $i] :
      ( ( c0_1 @ X97 )
      | ( c1_1 @ X97 )
      | ~ ( c3_1 @ X97 )
      | ~ ndr1_0
      | ( c0_1 @ X98 )
      | ( c2_1 @ X98 )
      | ~ ( c1_1 @ X98 )
      | ~ ndr1_0
      | ( c3_1 @ X99 )
      | ~ ( c1_1 @ X99 )
      | ~ ( c2_1 @ X99 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ~ ( c3_1 @ X89 ) )
    | ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c2_1 @ X74 )
        | ~ ( c1_1 @ X74 ) )
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl63,plain,
    ! [X89: $i] :
      ( ( c0_1 @ X89 )
      | ( c1_1 @ X89 )
      | ~ ( c3_1 @ X89 )
      | ~ ndr1_0
      | hskp28
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl449,plain,
    ( ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ~ ( c3_1 @ X89 ) )
   <= ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ~ ( c3_1 @ X89 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp15
    | ~ ( c0_1 @ a153 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl643,plain,
    ( ~ ( c0_1 @ a153 )
   <= ~ ( c0_1 @ a153 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl1776,plain,
    ( ( ~ ( c3_1 @ a153 )
      | ( c1_1 @ a153 ) )
   <= ( ~ ( c0_1 @ a153 )
      & ! [X89: $i] :
          ( ( c0_1 @ X89 )
          | ( c1_1 @ X89 )
          | ~ ( c3_1 @ X89 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl643]) ).

thf('14',plain,
    ( ( c1_1 @ a153 )
    | ( c0_1 @ a153 )
    | ~ ! [X89: $i] :
          ( ( c0_1 @ X89 )
          | ( c1_1 @ X89 )
          | ~ ( c3_1 @ X89 ) )
    | ~ ( c3_1 @ a153 ) ),
    inference(split,[status(esa)],[zip_derived_cl1776]) ).

thf(zip_derived_cl43,plain,
    ! [X49: $i,X50: $i,X51: $i] :
      ( ( c0_1 @ X49 )
      | ~ ( c1_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ndr1_0
      | ( c1_1 @ X50 )
      | ( c3_1 @ X50 )
      | ~ ( c2_1 @ X50 )
      | ~ ndr1_0
      | ( c3_1 @ X51 )
      | ~ ( c1_1 @ X51 )
      | ~ ( c2_1 @ X51 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl371,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl643_001,plain,
    ( ~ ( c0_1 @ a153 )
   <= ~ ( c0_1 @ a153 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl1452,plain,
    ( ( ~ ( c2_1 @ a153 )
      | ~ ( c1_1 @ a153 ) )
   <= ( ~ ( c0_1 @ a153 )
      & ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c2_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl371,zip_derived_cl643]) ).

thf('15',plain,
    ( ~ ( c1_1 @ a153 )
    | ~ ( c2_1 @ a153 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ( c0_1 @ a153 ) ),
    inference(split,[status(esa)],[zip_derived_cl1452]) ).

thf(zip_derived_cl52,plain,
    ! [X69: $i,X70: $i,X71: $i] :
      ( ( c0_1 @ X69 )
      | ( c2_1 @ X69 )
      | ~ ( c3_1 @ X69 )
      | ~ ndr1_0
      | ( c0_1 @ X70 )
      | ~ ( c1_1 @ X70 )
      | ~ ( c2_1 @ X70 )
      | ~ ndr1_0
      | ( c1_1 @ X71 )
      | ( c2_1 @ X71 )
      | ~ ( c0_1 @ X71 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
    | ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ~ ( c3_1 @ X63 ) )
    | ~ ndr1_0
    | ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl543_002,plain,
    ( ( c0_1 @ a122 )
   <= ( c0_1 @ a122 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl230_003,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1047,plain,
    ( ( ~ ( c1_1 @ a122 )
      | ~ ( c3_1 @ a122 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c0_1 @ a122 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl543,zip_derived_cl230]) ).

thf('17',plain,
    ( ~ ( c1_1 @ a122 )
    | ~ ( c3_1 @ a122 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c0_1 @ a122 ) ),
    inference(split,[status(esa)],[zip_derived_cl1047]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp18
    | ( c3_1 @ a160 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('18',plain,
    ( ( c3_1 @ a160 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a160 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('19',plain,
    ( ~ ( c1_1 @ a160 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a160 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('20',plain,
    ( ~ ( c2_1 @ a160 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl39,plain,
    ! [X43: $i] :
      ( ( c0_1 @ X43 )
      | ~ ( c2_1 @ X43 )
      | ~ ( c3_1 @ X43 )
      | ~ ndr1_0
      | hskp0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('21',plain,
    ( hskp18
    | hskp0
    | ~ ndr1_0
    | ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl68,plain,
    ! [X100: $i,X101: $i] :
      ( ( c0_1 @ X100 )
      | ( c1_1 @ X100 )
      | ~ ( c2_1 @ X100 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X101 )
      | ~ ( c1_1 @ X101 )
      | ~ ( c2_1 @ X101 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl470,plain,
    ( ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) )
   <= ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(zip_derived_cl202,plain,
    ( ~ hskp0
    | ~ ( c0_1 @ a123 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl761,plain,
    ( ~ ( c0_1 @ a123 )
   <= ~ ( c0_1 @ a123 ) ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf(zip_derived_cl1886,plain,
    ( ( ~ ( c2_1 @ a123 )
      | ( c1_1 @ a123 ) )
   <= ( ~ ( c0_1 @ a123 )
      & ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c2_1 @ X100 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl761]) ).

thf('22',plain,
    ( ~ ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c2_1 @ X100 ) )
    | ( c0_1 @ a123 )
    | ( c1_1 @ a123 )
    | ~ ( c2_1 @ a123 ) ),
    inference(split,[status(esa)],[zip_derived_cl1886]) ).

thf(zip_derived_cl70,plain,
    ! [X104: $i,X105: $i,X106: $i] :
      ( ( c0_1 @ X104 )
      | ( c1_1 @ X104 )
      | ~ ( c2_1 @ X104 )
      | ~ ndr1_0
      | ( c1_1 @ X105 )
      | ~ ( c0_1 @ X105 )
      | ~ ( c2_1 @ X105 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X106 )
      | ~ ( c2_1 @ X106 )
      | ~ ( c3_1 @ X106 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('23',plain,
    ( ! [X105: $i] :
        ( ( c1_1 @ X105 )
        | ~ ( c0_1 @ X105 )
        | ~ ( c2_1 @ X105 ) )
    | ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) )
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp12
    | ( c0_1 @ a142 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl663,plain,
    ( ( c0_1 @ a142 )
   <= ( c0_1 @ a142 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl478,plain,
    ( ! [X105: $i] :
        ( ( c1_1 @ X105 )
        | ~ ( c0_1 @ X105 )
        | ~ ( c2_1 @ X105 ) )
   <= ! [X105: $i] :
        ( ( c1_1 @ X105 )
        | ~ ( c0_1 @ X105 )
        | ~ ( c2_1 @ X105 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl1372,plain,
    ( ( ( c1_1 @ a142 )
      | ~ ( c2_1 @ a142 ) )
   <= ( ! [X105: $i] :
          ( ( c1_1 @ X105 )
          | ~ ( c0_1 @ X105 )
          | ~ ( c2_1 @ X105 ) )
      & ( c0_1 @ a142 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl663,zip_derived_cl478]) ).

thf('24',plain,
    ( ~ ( c2_1 @ a142 )
    | ~ ( c0_1 @ a142 )
    | ~ ! [X105: $i] :
          ( ( c1_1 @ X105 )
          | ~ ( c0_1 @ X105 )
          | ~ ( c2_1 @ X105 ) )
    | ( c1_1 @ a142 ) ),
    inference(split,[status(esa)],[zip_derived_cl1372]) ).

thf(zip_derived_cl57,plain,
    ! [X79: $i,X80: $i] :
      ( ( c0_1 @ X79 )
      | ( c2_1 @ X79 )
      | ~ ( c1_1 @ X79 )
      | ~ ndr1_0
      | ( c0_1 @ X80 )
      | ( c2_1 @ X80 )
      | ~ ( c3_1 @ X80 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( hskp12
    | ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ~ ( c3_1 @ X63 ) )
    | ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c2_1 @ X74 )
        | ~ ( c1_1 @ X74 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl54,plain,
    ! [X74: $i] :
      ( ( c0_1 @ X74 )
      | ( c2_1 @ X74 )
      | ~ ( c1_1 @ X74 )
      | ~ ndr1_0
      | hskp28
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl413,plain,
    ( ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c2_1 @ X74 )
        | ~ ( c1_1 @ X74 ) )
   <= ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c2_1 @ X74 )
        | ~ ( c1_1 @ X74 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp7
    | ~ ( c0_1 @ a132 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl705,plain,
    ( ~ ( c0_1 @ a132 )
   <= ~ ( c0_1 @ a132 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl1701,plain,
    ( ( ~ ( c1_1 @ a132 )
      | ( c2_1 @ a132 ) )
   <= ( ~ ( c0_1 @ a132 )
      & ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c2_1 @ X74 )
          | ~ ( c1_1 @ X74 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl705]) ).

thf('26',plain,
    ( ~ ( c1_1 @ a132 )
    | ~ ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c2_1 @ X74 )
          | ~ ( c1_1 @ X74 ) )
    | ( c0_1 @ a132 )
    | ( c2_1 @ a132 ) ),
    inference(split,[status(esa)],[zip_derived_cl1701]) ).

thf('27',plain,
    ( hskp6
    | ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c3_1 @ X34 ) )
    | ! [X35: $i] :
        ( ~ ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl449_004,plain,
    ( ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ~ ( c3_1 @ X89 ) )
   <= ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ~ ( c3_1 @ X89 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp6
    | ~ ( c0_1 @ a131 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl711,plain,
    ( ~ ( c0_1 @ a131 )
   <= ~ ( c0_1 @ a131 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl1773,plain,
    ( ( ~ ( c3_1 @ a131 )
      | ( c1_1 @ a131 ) )
   <= ( ~ ( c0_1 @ a131 )
      & ! [X89: $i] :
          ( ( c0_1 @ X89 )
          | ( c1_1 @ X89 )
          | ~ ( c3_1 @ X89 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl711]) ).

thf('28',plain,
    ( ( c0_1 @ a131 )
    | ( c1_1 @ a131 )
    | ~ ! [X89: $i] :
          ( ( c0_1 @ X89 )
          | ( c1_1 @ X89 )
          | ~ ( c3_1 @ X89 ) )
    | ~ ( c3_1 @ a131 ) ),
    inference(split,[status(esa)],[zip_derived_cl1773]) ).

thf('29',plain,
    ( ~ hskp6
    | ~ ( c0_1 @ a131 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp6
    | ~ ( c1_1 @ a131 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('30',plain,
    ( ~ hskp6
    | ~ ( c1_1 @ a131 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp6
    | ~ ( c2_1 @ a131 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('31',plain,
    ( ~ hskp6
    | ~ ( c2_1 @ a131 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl59,plain,
    ! [X84: $i] :
      ( ( c0_1 @ X84 )
      | ( c2_1 @ X84 )
      | ( c3_1 @ X84 )
      | ~ ndr1_0
      | hskp10
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl433,plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c2_1 @ X84 )
        | ( c3_1 @ X84 ) )
   <= ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c2_1 @ X84 )
        | ( c3_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl711_005,plain,
    ( ~ ( c0_1 @ a131 )
   <= ~ ( c0_1 @ a131 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl1831,plain,
    ( ( ( c3_1 @ a131 )
      | ( c2_1 @ a131 ) )
   <= ( ~ ( c0_1 @ a131 )
      & ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c2_1 @ X84 )
          | ( c3_1 @ X84 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl711]) ).

thf('32',plain,
    ( ( c3_1 @ a131 )
    | ( c0_1 @ a131 )
    | ~ ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c2_1 @ X84 )
          | ( c3_1 @ X84 ) )
    | ( c2_1 @ a131 ) ),
    inference(split,[status(esa)],[zip_derived_cl1831]) ).

thf(zip_derived_cl527_006,plain,
    ( ( c0_1 @ a136 )
   <= ( c0_1 @ a136 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl333_007,plain,
    ( ! [X35: $i] :
        ( ~ ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ~ ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1020,plain,
    ( ( ~ ( c2_1 @ a136 )
      | ~ ( c3_1 @ a136 ) )
   <= ( ! [X35: $i] :
          ( ~ ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
      & ( c0_1 @ a136 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl333]) ).

thf('33',plain,
    ( ~ ( c3_1 @ a136 )
    | ~ ! [X35: $i] :
          ( ~ ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ~ ( c2_1 @ a136 )
    | ~ ( c0_1 @ a136 ) ),
    inference(split,[status(esa)],[zip_derived_cl1020]) ).

thf(zip_derived_cl433_008,plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c2_1 @ X84 )
        | ( c3_1 @ X84 ) )
   <= ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c2_1 @ X84 )
        | ( c3_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp24
    | ~ ( c0_1 @ a182 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl567,plain,
    ( ~ ( c0_1 @ a182 )
   <= ~ ( c0_1 @ a182 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl1838,plain,
    ( ( ( c3_1 @ a182 )
      | ( c2_1 @ a182 ) )
   <= ( ~ ( c0_1 @ a182 )
      & ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c2_1 @ X84 )
          | ( c3_1 @ X84 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl567]) ).

thf('34',plain,
    ( ~ ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c2_1 @ X84 )
          | ( c3_1 @ X84 ) )
    | ( c0_1 @ a182 )
    | ( c2_1 @ a182 )
    | ( c3_1 @ a182 ) ),
    inference(split,[status(esa)],[zip_derived_cl1838]) ).

thf(zip_derived_cl353,plain,
    ( ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl333_009,plain,
    ( ! [X35: $i] :
        ( ~ ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ~ ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1320,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X35: $i] :
          ( ~ ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
      & ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c3_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl333]) ).

thf(zip_derived_cl1353,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X35: $i] :
          ( ~ ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
      & ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c3_1 @ X43 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1320]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp13
    | ( c3_1 @ a143 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl657,plain,
    ( ( c3_1 @ a143 )
   <= ( c3_1 @ a143 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl2142,plain,
    ( ~ ( c2_1 @ a143 )
   <= ( ! [X35: $i] :
          ( ~ ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
      & ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c3_1 @ X43 ) )
      & ( c3_1 @ a143 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1353,zip_derived_cl657]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp13
    | ( c2_1 @ a143 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl655,plain,
    ( ( c2_1 @ a143 )
   <= ( c2_1 @ a143 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf('35',plain,
    ( ~ ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c3_1 @ X43 ) )
    | ~ ! [X35: $i] :
          ( ~ ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ~ ( c2_1 @ a143 )
    | ~ ( c3_1 @ a143 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2142,zip_derived_cl655]) ).

thf('36',plain,
    ( ~ ( c0_1 @ a182 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp24
    | ~ ( c2_1 @ a182 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('37',plain,
    ( ~ ( c2_1 @ a182 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp24
    | ~ ( c3_1 @ a182 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( ~ ( c3_1 @ a182 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl23,plain,
    ! [X17: $i] :
      ( ( c2_1 @ X17 )
      | ( c3_1 @ X17 )
      | ~ ( c1_1 @ X17 )
      | ~ ndr1_0
      | hskp15
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('39',plain,
    ( hskp24
    | hskp15
    | ~ ndr1_0
    | ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl62,plain,
    ! [X87: $i,X88: $i] :
      ( ( c0_1 @ X87 )
      | ( c2_1 @ X87 )
      | ( c3_1 @ X87 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X88 )
      | ~ ( c2_1 @ X88 )
      | ~ ( c3_1 @ X88 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( ! [X35: $i] :
        ( ~ ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
    | ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c2_1 @ X84 )
        | ( c3_1 @ X84 ) )
    | hskp8
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl46,plain,
    ! [X58: $i,X59: $i] :
      ( ( c0_1 @ X58 )
      | ( c3_1 @ X58 )
      | ~ ( c1_1 @ X58 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X59 )
      | ~ ( c2_1 @ X59 )
      | ~ ( c3_1 @ X59 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl382,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c1_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c1_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp20
    | ~ ( c0_1 @ a168 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl601,plain,
    ( ~ ( c0_1 @ a168 )
   <= ~ ( c0_1 @ a168 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl1576,plain,
    ( ( ~ ( c1_1 @ a168 )
      | ( c3_1 @ a168 ) )
   <= ( ~ ( c0_1 @ a168 )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c1_1 @ X58 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl601]) ).

thf('41',plain,
    ( ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c1_1 @ X58 ) )
    | ~ ( c1_1 @ a168 )
    | ( c0_1 @ a168 )
    | ( c3_1 @ a168 ) ),
    inference(split,[status(esa)],[zip_derived_cl1576]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp22
    | ( c0_1 @ a176 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl583,plain,
    ( ( c0_1 @ a176 )
   <= ( c0_1 @ a176 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl19,plain,
    ! [X13: $i] :
      ( ( c2_1 @ X13 )
      | ~ ( c0_1 @ X13 )
      | ~ ( c3_1 @ X13 )
      | ~ ndr1_0
      | hskp25
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl273,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1071,plain,
    ( ( ( c2_1 @ a176 )
      | ~ ( c3_1 @ a176 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ( c0_1 @ a176 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl273]) ).

thf('42',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
    | ~ ( c3_1 @ a176 )
    | ( c2_1 @ a176 )
    | ~ ( c0_1 @ a176 ) ),
    inference(split,[status(esa)],[zip_derived_cl1071]) ).

thf(zip_derived_cl50,plain,
    ! [X65: $i,X66: $i] :
      ( ( c0_1 @ X65 )
      | ( c2_1 @ X65 )
      | ~ ( c3_1 @ X65 )
      | ~ ndr1_0
      | ( c3_1 @ X66 )
      | ~ ( c0_1 @ X66 )
      | ~ ( c2_1 @ X66 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('43',plain,
    ( hskp12
    | ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ~ ( c3_1 @ X63 ) )
    | ! [X66: $i] :
        ( ( c3_1 @ X66 )
        | ~ ( c0_1 @ X66 )
        | ~ ( c2_1 @ X66 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl663_010,plain,
    ( ( c0_1 @ a142 )
   <= ( c0_1 @ a142 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl29,plain,
    ! [X28: $i] :
      ( ( c1_1 @ X28 )
      | ~ ( c0_1 @ X28 )
      | ~ ( c3_1 @ X28 )
      | ~ ndr1_0
      | hskp0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl313,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1188,plain,
    ( ( ( c1_1 @ a142 )
      | ~ ( c3_1 @ a142 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
      & ( c0_1 @ a142 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl663,zip_derived_cl313]) ).

thf('44',plain,
    ( ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
    | ~ ( c0_1 @ a142 )
    | ~ ( c3_1 @ a142 )
    | ( c1_1 @ a142 ) ),
    inference(split,[status(esa)],[zip_derived_cl1188]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp26
    | ( c0_1 @ a225 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl551,plain,
    ( ( c0_1 @ a225 )
   <= ( c0_1 @ a225 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl397,plain,
    ( ! [X66: $i] :
        ( ( c3_1 @ X66 )
        | ~ ( c0_1 @ X66 )
        | ~ ( c2_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c3_1 @ X66 )
        | ~ ( c0_1 @ X66 )
        | ~ ( c2_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1306,plain,
    ( ( ( c3_1 @ a225 )
      | ~ ( c2_1 @ a225 ) )
   <= ( ! [X66: $i] :
          ( ( c3_1 @ X66 )
          | ~ ( c0_1 @ X66 )
          | ~ ( c2_1 @ X66 ) )
      & ( c0_1 @ a225 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl551,zip_derived_cl397]) ).

thf('45',plain,
    ( ~ ! [X66: $i] :
          ( ( c3_1 @ X66 )
          | ~ ( c0_1 @ X66 )
          | ~ ( c2_1 @ X66 ) )
    | ~ ( c0_1 @ a225 )
    | ~ ( c2_1 @ a225 )
    | ( c3_1 @ a225 ) ),
    inference(split,[status(esa)],[zip_derived_cl1306]) ).

thf('46',plain,
    ( ( c0_1 @ a225 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp26
    | ( c2_1 @ a225 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ( c2_1 @ a225 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp26
    | ~ ( c3_1 @ a225 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( ~ ( c3_1 @ a225 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl2,plain,
    ( hskp26
    | hskp20
    | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( hskp26
    | hskp20
    | hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl353_011,plain,
    ( ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp16
    | ~ ( c0_1 @ a154 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl635,plain,
    ( ~ ( c0_1 @ a154 )
   <= ~ ( c0_1 @ a154 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl1330,plain,
    ( ( ~ ( c3_1 @ a154 )
      | ~ ( c2_1 @ a154 ) )
   <= ( ~ ( c0_1 @ a154 )
      & ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c3_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl635]) ).

thf('50',plain,
    ( ~ ( c2_1 @ a154 )
    | ( c0_1 @ a154 )
    | ~ ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c3_1 @ X43 ) )
    | ~ ( c3_1 @ a154 ) ),
    inference(split,[status(esa)],[zip_derived_cl1330]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp16
    | ( c3_1 @ a154 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl633,plain,
    ( ( c3_1 @ a154 )
   <= ( c3_1 @ a154 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl16,plain,
    ! [X10: $i] :
      ( ( c2_1 @ X10 )
      | ~ ( c1_1 @ X10 )
      | ~ ( c3_1 @ X10 )
      | ~ ndr1_0
      | hskp15
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl261,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1161,plain,
    ( ( ( c2_1 @ a154 )
      | ~ ( c1_1 @ a154 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c3_1 @ a154 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl633,zip_derived_cl261]) ).

thf('51',plain,
    ( ( c2_1 @ a154 )
    | ~ ( c1_1 @ a154 )
    | ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c3_1 @ a154 ) ),
    inference(split,[status(esa)],[zip_derived_cl1161]) ).

thf('52',plain,
    ( hskp16
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c1_1 @ X58 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl382_012,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c1_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c1_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp17
    | ~ ( c0_1 @ a155 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl625,plain,
    ( ~ ( c0_1 @ a155 )
   <= ~ ( c0_1 @ a155 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl1575,plain,
    ( ( ~ ( c1_1 @ a155 )
      | ( c3_1 @ a155 ) )
   <= ( ~ ( c0_1 @ a155 )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c1_1 @ X58 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl625]) ).

thf('53',plain,
    ( ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c1_1 @ X58 ) )
    | ( c3_1 @ a155 )
    | ( c0_1 @ a155 )
    | ~ ( c1_1 @ a155 ) ),
    inference(split,[status(esa)],[zip_derived_cl1575]) ).

thf(zip_derived_cl44,plain,
    ! [X52: $i,X53: $i,X54: $i] :
      ( ( c0_1 @ X52 )
      | ( c3_1 @ X52 )
      | ~ ( c2_1 @ X52 )
      | ~ ndr1_0
      | ( c2_1 @ X53 )
      | ( c3_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ndr1_0
      | ( c2_1 @ X54 )
      | ~ ( c1_1 @ X54 )
      | ~ ( c3_1 @ X54 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl375,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl625_013,plain,
    ( ~ ( c0_1 @ a155 )
   <= ~ ( c0_1 @ a155 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl1522,plain,
    ( ( ~ ( c2_1 @ a155 )
      | ( c3_1 @ a155 ) )
   <= ( ~ ( c0_1 @ a155 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c2_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl375,zip_derived_cl625]) ).

thf(zip_derived_cl4834,plain,
    ( ( c3_1 @ a155 )
   <= ( c3_1 @ a155 ) ),
    inference(split,[status(esa)],[zip_derived_cl1522]) ).

thf(zip_derived_cl261_014,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl4859,plain,
    ( ( ( c2_1 @ a155 )
      | ~ ( c1_1 @ a155 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c3_1 @ a155 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4834,zip_derived_cl261]) ).

thf('54',plain,
    ( ~ ( c3_1 @ a155 )
    | ~ ( c1_1 @ a155 )
    | ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ( c2_1 @ a155 ) ),
    inference(split,[status(esa)],[zip_derived_cl4859]) ).

thf(zip_derived_cl36,plain,
    ! [X39: $i] :
      ( ( c1_1 @ X39 )
      | ( c2_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ~ ndr1_0
      | hskp19
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('55',plain,
    ( hskp17
    | hskp19
    | ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl449_015,plain,
    ( ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ~ ( c3_1 @ X89 ) )
   <= ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ~ ( c3_1 @ X89 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl705_016,plain,
    ( ~ ( c0_1 @ a132 )
   <= ~ ( c0_1 @ a132 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl1774,plain,
    ( ( ~ ( c3_1 @ a132 )
      | ( c1_1 @ a132 ) )
   <= ( ~ ( c0_1 @ a132 )
      & ! [X89: $i] :
          ( ( c0_1 @ X89 )
          | ( c1_1 @ X89 )
          | ~ ( c3_1 @ X89 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl705]) ).

thf('56',plain,
    ( ( c1_1 @ a132 )
    | ( c0_1 @ a132 )
    | ~ ! [X89: $i] :
          ( ( c0_1 @ X89 )
          | ( c1_1 @ X89 )
          | ~ ( c3_1 @ X89 ) )
    | ~ ( c3_1 @ a132 ) ),
    inference(split,[status(esa)],[zip_derived_cl1774]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp7
    | ( c3_1 @ a132 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl703,plain,
    ( ( c3_1 @ a132 )
   <= ( c3_1 @ a132 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl334,plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c3_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c3_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1217,plain,
    ( ( ( c1_1 @ a132 )
      | ( c2_1 @ a132 ) )
   <= ( ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c3_1 @ X34 ) )
      & ( c3_1 @ a132 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl703,zip_derived_cl334]) ).

thf('57',plain,
    ( ( c1_1 @ a132 )
    | ~ ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c3_1 @ X34 ) )
    | ( c2_1 @ a132 )
    | ~ ( c3_1 @ a132 ) ),
    inference(split,[status(esa)],[zip_derived_cl1217]) ).

thf(zip_derived_cl703_017,plain,
    ( ( c3_1 @ a132 )
   <= ( c3_1 @ a132 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl261_018,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1215,plain,
    ( ( ( c2_1 @ a132 )
      | ~ ( c1_1 @ a132 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c3_1 @ a132 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl703,zip_derived_cl261]) ).

thf('58',plain,
    ( ~ ( c1_1 @ a132 )
    | ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ( c2_1 @ a132 )
    | ~ ( c3_1 @ a132 ) ),
    inference(split,[status(esa)],[zip_derived_cl1215]) ).

thf(zip_derived_cl66,plain,
    ! [X94: $i,X95: $i,X96: $i] :
      ( ( c0_1 @ X94 )
      | ( c1_1 @ X94 )
      | ~ ( c3_1 @ X94 )
      | ~ ndr1_0
      | ( c1_1 @ X95 )
      | ( c2_1 @ X95 )
      | ~ ( c3_1 @ X95 )
      | ~ ndr1_0
      | ( c1_1 @ X96 )
      | ~ ( c2_1 @ X96 )
      | ~ ( c3_1 @ X96 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('59',plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c3_1 @ X34 ) )
    | ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ~ ( c3_1 @ X89 ) )
    | ~ ndr1_0
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl289,plain,
    ( ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp10
    | ~ ( c3_1 @ a140 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl683,plain,
    ( ~ ( c3_1 @ a140 )
   <= ~ ( c3_1 @ a140 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl904,plain,
    ( ( ~ ( c1_1 @ a140 )
      | ( c2_1 @ a140 ) )
   <= ( ~ ( c3_1 @ a140 )
      & ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl683]) ).

thf('60',plain,
    ( ( c2_1 @ a140 )
    | ( c3_1 @ a140 )
    | ~ ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) )
    | ~ ( c1_1 @ a140 ) ),
    inference(split,[status(esa)],[zip_derived_cl904]) ).

thf(zip_derived_cl41,plain,
    ! [X45: $i,X46: $i,X47: $i] :
      ( ( c0_1 @ X45 )
      | ~ ( c2_1 @ X45 )
      | ~ ( c3_1 @ X45 )
      | ~ ndr1_0
      | ( c1_1 @ X46 )
      | ( c2_1 @ X46 )
      | ~ ( c0_1 @ X46 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X47 )
      | ~ ( c1_1 @ X47 )
      | ~ ( c3_1 @ X47 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('61',plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) )
    | ~ ndr1_0
    | ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl353_019,plain,
    ( ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp2
    | ~ ( c0_1 @ a125 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl747,plain,
    ( ~ ( c0_1 @ a125 )
   <= ~ ( c0_1 @ a125 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl1324,plain,
    ( ( ~ ( c3_1 @ a125 )
      | ~ ( c2_1 @ a125 ) )
   <= ( ~ ( c0_1 @ a125 )
      & ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c3_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl747]) ).

thf('62',plain,
    ( ~ ( c3_1 @ a125 )
    | ( c0_1 @ a125 )
    | ~ ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c3_1 @ X43 ) )
    | ~ ( c2_1 @ a125 ) ),
    inference(split,[status(esa)],[zip_derived_cl1324]) ).

thf(zip_derived_cl2082,plain,
    ( ~ ( c3_1 @ a125 )
   <= ~ ( c3_1 @ a125 ) ),
    inference(split,[status(esa)],[zip_derived_cl1324]) ).

thf(zip_derived_cl11,plain,
    ! [X5: $i] :
      ( ( c3_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ndr1_0
      | hskp14
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl242,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl2084,plain,
    ( ( ~ ( c1_1 @ a125 )
      | ~ ( c2_1 @ a125 ) )
   <= ( ~ ( c3_1 @ a125 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2082,zip_derived_cl242]) ).

thf('63',plain,
    ( ( c3_1 @ a125 )
    | ~ ( c2_1 @ a125 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c1_1 @ a125 ) ),
    inference(split,[status(esa)],[zip_derived_cl2084]) ).

thf('64',plain,
    ( ~ ( c0_1 @ a125 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl38,plain,
    ! [X41: $i,X42: $i] :
      ( ( c1_1 @ X41 )
      | ( c2_1 @ X41 )
      | ( c3_1 @ X41 )
      | ~ ndr1_0
      | ( c3_1 @ X42 )
      | ~ ( c0_1 @ X42 )
      | ~ ( c1_1 @ X42 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('65',plain,
    ( hskp12
    | ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) )
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl15,plain,
    ! [X9: $i] :
      ( ( c3_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ( c1_1 @ X9 )
      | ~ ndr1_0
      | hskp12
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( hskp12
    | hskp11
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl663_020,plain,
    ( ( c0_1 @ a142 )
   <= ( c0_1 @ a142 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl341,plain,
    ( ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) )
   <= ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1236,plain,
    ( ( ( c1_1 @ a142 )
      | ( c2_1 @ a142 ) )
   <= ( ! [X39: $i] :
          ( ( c1_1 @ X39 )
          | ( c2_1 @ X39 )
          | ~ ( c0_1 @ X39 ) )
      & ( c0_1 @ a142 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl663,zip_derived_cl341]) ).

thf('67',plain,
    ( ( c2_1 @ a142 )
    | ( c1_1 @ a142 )
    | ~ ! [X39: $i] :
          ( ( c1_1 @ X39 )
          | ( c2_1 @ X39 )
          | ~ ( c0_1 @ X39 ) )
    | ~ ( c0_1 @ a142 ) ),
    inference(split,[status(esa)],[zip_derived_cl1236]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp10
    | ( c0_1 @ a140 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl679,plain,
    ( ( c0_1 @ a140 )
   <= ( c0_1 @ a140 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl253_021,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1196,plain,
    ( ( ( c3_1 @ a140 )
      | ~ ( c1_1 @ a140 ) )
   <= ( ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ( c0_1 @ a140 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl679,zip_derived_cl253]) ).

thf('68',plain,
    ( ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ~ ( c0_1 @ a140 )
    | ( c3_1 @ a140 )
    | ~ ( c1_1 @ a140 ) ),
    inference(split,[status(esa)],[zip_derived_cl1196]) ).

thf(zip_derived_cl679_022,plain,
    ( ( c0_1 @ a140 )
   <= ( c0_1 @ a140 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl341_023,plain,
    ( ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) )
   <= ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1235,plain,
    ( ( ( c1_1 @ a140 )
      | ( c2_1 @ a140 ) )
   <= ( ! [X39: $i] :
          ( ( c1_1 @ X39 )
          | ( c2_1 @ X39 )
          | ~ ( c0_1 @ X39 ) )
      & ( c0_1 @ a140 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl679,zip_derived_cl341]) ).

thf('69',plain,
    ( ( c1_1 @ a140 )
    | ~ ( c0_1 @ a140 )
    | ~ ! [X39: $i] :
          ( ( c1_1 @ X39 )
          | ( c2_1 @ X39 )
          | ~ ( c0_1 @ X39 ) )
    | ( c2_1 @ a140 ) ),
    inference(split,[status(esa)],[zip_derived_cl1235]) ).

thf('70',plain,
    ( ( c0_1 @ a140 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a140 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('71',plain,
    ( ~ ( c2_1 @ a140 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf('72',plain,
    ( ~ ( c3_1 @ a140 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl9,plain,
    ! [X3: $i] :
      ( ~ ( c0_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ( c3_1 @ X3 )
      | ~ ndr1_0
      | hskp22
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('73',plain,
    ( hskp10
    | hskp22
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl527_024,plain,
    ( ( c0_1 @ a136 )
   <= ( c0_1 @ a136 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl230_025,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1014,plain,
    ( ( ~ ( c1_1 @ a136 )
      | ~ ( c3_1 @ a136 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c0_1 @ a136 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl230]) ).

thf(zip_derived_cl1355,plain,
    ( ~ ( c3_1 @ a136 )
   <= ~ ( c3_1 @ a136 ) ),
    inference(split,[status(esa)],[zip_derived_cl1014]) ).

thf(zip_derived_cl242_026,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1357,plain,
    ( ( ~ ( c1_1 @ a136 )
      | ~ ( c2_1 @ a136 ) )
   <= ( ~ ( c3_1 @ a136 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1355,zip_derived_cl242]) ).

thf('74',plain,
    ( ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ( c3_1 @ a136 )
    | ~ ( c1_1 @ a136 )
    | ~ ( c2_1 @ a136 ) ),
    inference(split,[status(esa)],[zip_derived_cl1357]) ).

thf('75',plain,
    ( ( c0_1 @ a136 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('76',plain,
    ( ~ ( c3_1 @ a136 )
    | ~ ( c1_1 @ a136 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c0_1 @ a136 ) ),
    inference(split,[status(esa)],[zip_derived_cl1014]) ).

thf(zip_derived_cl40,plain,
    ! [X44: $i] :
      ( ( c0_1 @ X44 )
      | ~ ( c2_1 @ X44 )
      | ~ ( c3_1 @ X44 )
      | ~ ndr1_0
      | hskp29
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( hskp29
    | hskp7
    | ~ ndr1_0
    | ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl56,plain,
    ! [X77: $i,X78: $i] :
      ( ( c0_1 @ X77 )
      | ( c2_1 @ X77 )
      | ~ ( c1_1 @ X77 )
      | ~ ndr1_0
      | ( c1_1 @ X78 )
      | ( c2_1 @ X78 )
      | ~ ( c0_1 @ X78 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('78',plain,
    ( hskp13
    | ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c2_1 @ X74 )
        | ~ ( c1_1 @ X74 ) )
    | ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf('79',plain,
    ( ~ ( c0_1 @ a153 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl353_027,plain,
    ( ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl643_028,plain,
    ( ~ ( c0_1 @ a153 )
   <= ~ ( c0_1 @ a153 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl1329,plain,
    ( ( ~ ( c3_1 @ a153 )
      | ~ ( c2_1 @ a153 ) )
   <= ( ~ ( c0_1 @ a153 )
      & ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c3_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl643]) ).

thf('80',plain,
    ( ~ ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c3_1 @ X43 ) )
    | ~ ( c2_1 @ a153 )
    | ( c0_1 @ a153 )
    | ~ ( c3_1 @ a153 ) ),
    inference(split,[status(esa)],[zip_derived_cl1329]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp17
    | ( c1_1 @ a155 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( ( c1_1 @ a155 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf('82',plain,
    ( ~ ( c0_1 @ a155 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a155 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('83',plain,
    ( ~ ( c2_1 @ a155 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl413_029,plain,
    ( ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c2_1 @ X74 )
        | ~ ( c1_1 @ X74 ) )
   <= ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c2_1 @ X74 )
        | ~ ( c1_1 @ X74 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl625_030,plain,
    ( ~ ( c0_1 @ a155 )
   <= ~ ( c0_1 @ a155 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl1705,plain,
    ( ( ~ ( c1_1 @ a155 )
      | ( c2_1 @ a155 ) )
   <= ( ~ ( c0_1 @ a155 )
      & ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c2_1 @ X74 )
          | ~ ( c1_1 @ X74 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl625]) ).

thf('84',plain,
    ( ( c0_1 @ a155 )
    | ( c2_1 @ a155 )
    | ~ ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c2_1 @ X74 )
          | ~ ( c1_1 @ X74 ) )
    | ~ ( c1_1 @ a155 ) ),
    inference(split,[status(esa)],[zip_derived_cl1705]) ).

thf(zip_derived_cl18,plain,
    ! [X12: $i] :
      ( ( c2_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ( c3_1 @ X12 )
      | ~ ndr1_0
      | hskp17
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('85',plain,
    ( hskp13
    | hskp17
    | ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp3
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( hskp13
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | hskp3
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a141 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('87',plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a141 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a141 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a141 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a141 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('89',plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a141 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl37,plain,
    ! [X40: $i] :
      ( ( c1_1 @ X40 )
      | ( c2_1 @ X40 )
      | ( c3_1 @ X40 )
      | ~ ndr1_0
      | hskp2
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl345,plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl675,plain,
    ( ~ ( c3_1 @ a141 )
   <= ~ ( c3_1 @ a141 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1274,plain,
    ( ( ( c2_1 @ a141 )
      | ( c1_1 @ a141 ) )
   <= ( ~ ( c3_1 @ a141 )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl675]) ).

thf('90',plain,
    ( ( c1_1 @ a141 )
    | ( c2_1 @ a141 )
    | ~ ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ( c3_1 @ X40 ) )
    | ( c3_1 @ a141 ) ),
    inference(split,[status(esa)],[zip_derived_cl1274]) ).

thf(zip_derived_cl449_031,plain,
    ( ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ~ ( c3_1 @ X89 ) )
   <= ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ~ ( c3_1 @ X89 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl761_032,plain,
    ( ~ ( c0_1 @ a123 )
   <= ~ ( c0_1 @ a123 ) ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf(zip_derived_cl1770,plain,
    ( ( ~ ( c3_1 @ a123 )
      | ( c1_1 @ a123 ) )
   <= ( ~ ( c0_1 @ a123 )
      & ! [X89: $i] :
          ( ( c0_1 @ X89 )
          | ( c1_1 @ X89 )
          | ~ ( c3_1 @ X89 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl761]) ).

thf('91',plain,
    ( ( c0_1 @ a123 )
    | ( c1_1 @ a123 )
    | ~ ! [X89: $i] :
          ( ( c0_1 @ X89 )
          | ( c1_1 @ X89 )
          | ~ ( c3_1 @ X89 ) )
    | ~ ( c3_1 @ a123 ) ),
    inference(split,[status(esa)],[zip_derived_cl1770]) ).

thf(zip_derived_cl201,plain,
    ( ~ hskp0
    | ( c2_1 @ a123 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('92',plain,
    ( ( c2_1 @ a123 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf('93',plain,
    ( ~ ( c0_1 @ a123 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf(zip_derived_cl203,plain,
    ( ~ hskp0
    | ~ ( c1_1 @ a123 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ~ ( c1_1 @ a123 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf('95',plain,
    ( hskp0
    | ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
    | hskp7
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl583_033,plain,
    ( ( c0_1 @ a176 )
   <= ( c0_1 @ a176 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl313_034,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1073,plain,
    ( ( ( c1_1 @ a176 )
      | ~ ( c3_1 @ a176 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
      & ( c0_1 @ a176 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl313]) ).

thf('96',plain,
    ( ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
    | ~ ( c3_1 @ a176 )
    | ~ ( c0_1 @ a176 )
    | ( c1_1 @ a176 ) ),
    inference(split,[status(esa)],[zip_derived_cl1073]) ).

thf(zip_derived_cl583_035,plain,
    ( ( c0_1 @ a176 )
   <= ( c0_1 @ a176 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl230_036,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1068,plain,
    ( ( ~ ( c1_1 @ a176 )
      | ~ ( c3_1 @ a176 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c0_1 @ a176 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl230]) ).

thf(zip_derived_cl1735,plain,
    ( ~ ( c3_1 @ a176 )
   <= ~ ( c3_1 @ a176 ) ),
    inference(split,[status(esa)],[zip_derived_cl1068]) ).

thf(zip_derived_cl345_037,plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1740,plain,
    ( ( ( c1_1 @ a176 )
      | ( c2_1 @ a176 ) )
   <= ( ~ ( c3_1 @ a176 )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ( c3_1 @ X40 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1735,zip_derived_cl345]) ).

thf('97',plain,
    ( ( c3_1 @ a176 )
    | ~ ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ( c3_1 @ X40 ) )
    | ( c2_1 @ a176 )
    | ( c1_1 @ a176 ) ),
    inference(split,[status(esa)],[zip_derived_cl1740]) ).

thf('98',plain,
    ( hskp2
    | hskp16
    | ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp16
    | ( c1_1 @ a154 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( ( c1_1 @ a154 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl633_038,plain,
    ( ( c3_1 @ a154 )
   <= ( c3_1 @ a154 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl222,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_cl6]) ).

thf(zip_derived_cl1160,plain,
    ( ( ~ ( c1_1 @ a154 )
      | ~ ( c2_1 @ a154 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a154 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl633,zip_derived_cl222]) ).

thf('100',plain,
    ( ~ ( c2_1 @ a154 )
    | ~ ( c3_1 @ a154 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a154 ) ),
    inference(split,[status(esa)],[zip_derived_cl1160]) ).

thf('101',plain,
    ( ( c3_1 @ a154 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf('102',plain,
    ( ~ ( c0_1 @ a154 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl48,plain,
    ! [X63: $i] :
      ( ( c0_1 @ X63 )
      | ( c2_1 @ X63 )
      | ~ ( c3_1 @ X63 )
      | ~ ndr1_0
      | hskp10
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl389,plain,
    ( ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ~ ( c3_1 @ X63 ) )
   <= ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ~ ( c3_1 @ X63 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl635_039,plain,
    ( ~ ( c0_1 @ a154 )
   <= ~ ( c0_1 @ a154 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl1628,plain,
    ( ( ~ ( c3_1 @ a154 )
      | ( c2_1 @ a154 ) )
   <= ( ~ ( c0_1 @ a154 )
      & ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ( c2_1 @ X63 )
          | ~ ( c3_1 @ X63 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl635]) ).

thf('103',plain,
    ( ( c2_1 @ a154 )
    | ( c0_1 @ a154 )
    | ~ ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ( c2_1 @ X63 )
          | ~ ( c3_1 @ X63 ) )
    | ~ ( c3_1 @ a154 ) ),
    inference(split,[status(esa)],[zip_derived_cl1628]) ).

thf('104',plain,
    ( hskp28
    | ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ~ ( c3_1 @ X89 ) )
    | ~ ndr1_0
    | hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl27,plain,
    ! [X24: $i] :
      ( ( c1_1 @ X24 )
      | ~ ( c2_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | hskp22
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('105',plain,
    ( hskp22
    | hskp7
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf('106',plain,
    ( ( c3_1 @ a132 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf('107',plain,
    ( ~ ( c0_1 @ a132 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp7
    | ~ ( c2_1 @ a132 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( ~ ( c2_1 @ a132 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl389_040,plain,
    ( ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ~ ( c3_1 @ X63 ) )
   <= ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ~ ( c3_1 @ X63 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl705_041,plain,
    ( ~ ( c0_1 @ a132 )
   <= ~ ( c0_1 @ a132 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl1625,plain,
    ( ( ~ ( c3_1 @ a132 )
      | ( c2_1 @ a132 ) )
   <= ( ~ ( c0_1 @ a132 )
      & ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ( c2_1 @ X63 )
          | ~ ( c3_1 @ X63 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl705]) ).

thf('109',plain,
    ( ~ ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ( c2_1 @ X63 )
          | ~ ( c3_1 @ X63 ) )
    | ( c0_1 @ a132 )
    | ( c2_1 @ a132 )
    | ~ ( c3_1 @ a132 ) ),
    inference(split,[status(esa)],[zip_derived_cl1625]) ).

thf(zip_derived_cl51,plain,
    ! [X67: $i,X68: $i] :
      ( ( c0_1 @ X67 )
      | ( c2_1 @ X67 )
      | ~ ( c3_1 @ X67 )
      | ~ ndr1_0
      | ( c2_1 @ X68 )
      | ( c3_1 @ X68 )
      | ~ ( c1_1 @ X68 )
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('110',plain,
    ( hskp29
    | ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ~ ( c3_1 @ X63 ) )
    | ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp30
    | ( c0_1 @ a167 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl519,plain,
    ( ( c0_1 @ a167 )
   <= ( c0_1 @ a167 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl273_042,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1003,plain,
    ( ( ( c2_1 @ a167 )
      | ~ ( c3_1 @ a167 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ( c0_1 @ a167 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl519,zip_derived_cl273]) ).

thf(zip_derived_cl1731,plain,
    ( ( c2_1 @ a167 )
   <= ( c2_1 @ a167 ) ),
    inference(split,[status(esa)],[zip_derived_cl1003]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp30
    | ( c1_1 @ a167 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl521,plain,
    ( ( c1_1 @ a167 )
   <= ( c1_1 @ a167 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl242_043,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl222_044,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_cl6]) ).

thf(zip_derived_cl789,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl222]) ).

thf(zip_derived_cl790,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl789]) ).

thf(zip_derived_cl1007,plain,
    ( ~ ( c2_1 @ a167 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c1_1 @ a167 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl790]) ).

thf('111',plain,
    ( ~ ( c2_1 @ a167 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a167 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1731,zip_derived_cl1007]) ).

thf(zip_derived_cl20,plain,
    ! [X14: $i] :
      ( ( c2_1 @ X14 )
      | ~ ( c0_1 @ X14 )
      | ~ ( c3_1 @ X14 )
      | ~ ndr1_0
      | hskp1
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('112',plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
    | hskp1
    | ~ ndr1_0
    | hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf('113',plain,
    ( ( c2_1 @ a167 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
    | ~ ( c0_1 @ a167 )
    | ~ ( c3_1 @ a167 ) ),
    inference(split,[status(esa)],[zip_derived_cl1003]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp15
    | ( c2_1 @ a153 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('114',plain,
    ( ( c2_1 @ a153 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp15
    | ( c3_1 @ a153 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('115',plain,
    ( ( c3_1 @ a153 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf('116',plain,
    ( hskp13
    | hskp15
    | ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl124,plain,
    ( ~ hskp19
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('117',plain,
    ( ndr1_0
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl124]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp20
    | ~ ( c3_1 @ a168 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl603,plain,
    ( ~ ( c3_1 @ a168 )
   <= ~ ( c3_1 @ a168 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl242_045,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl829,plain,
    ( ( ~ ( c1_1 @ a168 )
      | ~ ( c2_1 @ a168 ) )
   <= ( ~ ( c3_1 @ a168 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl603,zip_derived_cl242]) ).

thf('118',plain,
    ( ~ ( c2_1 @ a168 )
    | ~ ( c1_1 @ a168 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ( c3_1 @ a168 ) ),
    inference(split,[status(esa)],[zip_derived_cl829]) ).

thf('119',plain,
    ( ~ ( c3_1 @ a168 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl289_046,plain,
    ( ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl603_047,plain,
    ( ~ ( c3_1 @ a168 )
   <= ~ ( c3_1 @ a168 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl907,plain,
    ( ( ~ ( c1_1 @ a168 )
      | ( c2_1 @ a168 ) )
   <= ( ~ ( c3_1 @ a168 )
      & ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl603]) ).

thf('120',plain,
    ( ~ ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) )
    | ( c2_1 @ a168 )
    | ( c3_1 @ a168 )
    | ~ ( c1_1 @ a168 ) ),
    inference(split,[status(esa)],[zip_derived_cl907]) ).

thf(zip_derived_cl663_048,plain,
    ( ( c0_1 @ a142 )
   <= ( c0_1 @ a142 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl273_049,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1186,plain,
    ( ( ( c2_1 @ a142 )
      | ~ ( c3_1 @ a142 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ( c0_1 @ a142 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl663,zip_derived_cl273]) ).

thf('121',plain,
    ( ( c2_1 @ a142 )
    | ~ ( c0_1 @ a142 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
    | ~ ( c3_1 @ a142 ) ),
    inference(split,[status(esa)],[zip_derived_cl1186]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp12
    | ( c3_1 @ a142 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl665,plain,
    ( ( c3_1 @ a142 )
   <= ( c3_1 @ a142 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl334_050,plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c3_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c3_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1193,plain,
    ( ( ( c1_1 @ a142 )
      | ( c2_1 @ a142 ) )
   <= ( ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c3_1 @ X34 ) )
      & ( c3_1 @ a142 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl665,zip_derived_cl334]) ).

thf('122',plain,
    ( ( c2_1 @ a142 )
    | ( c1_1 @ a142 )
    | ~ ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c3_1 @ X34 ) )
    | ~ ( c3_1 @ a142 ) ),
    inference(split,[status(esa)],[zip_derived_cl1193]) ).

thf(zip_derived_cl665_051,plain,
    ( ( c3_1 @ a142 )
   <= ( c3_1 @ a142 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl26,plain,
    ! [X23: $i] :
      ( ( c1_1 @ X23 )
      | ~ ( c2_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ~ ndr1_0
      | hskp8
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl301,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1192,plain,
    ( ( ( c1_1 @ a142 )
      | ~ ( c2_1 @ a142 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c3_1 @ a142 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl665,zip_derived_cl301]) ).

thf('123',plain,
    ( ~ ( c2_1 @ a142 )
    | ~ ( c3_1 @ a142 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ( c1_1 @ a142 ) ),
    inference(split,[status(esa)],[zip_derived_cl1192]) ).

thf('124',plain,
    ( ( c0_1 @ a142 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf('125',plain,
    ( ( c3_1 @ a142 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp12
    | ~ ( c1_1 @ a142 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( ~ ( c1_1 @ a142 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl1,plain,
    ( hskp12
    | hskp19
    | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('127',plain,
    ( hskp12
    | hskp13
    | hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl35,plain,
    ! [X36: $i,X37: $i,X38: $i] :
      ( ( c1_1 @ X36 )
      | ( c2_1 @ X36 )
      | ~ ( c3_1 @ X36 )
      | ~ ndr1_0
      | ( c2_1 @ X37 )
      | ( c3_1 @ X37 )
      | ~ ( c1_1 @ X37 )
      | ~ ndr1_0
      | ( c2_1 @ X38 )
      | ~ ( c0_1 @ X38 )
      | ~ ( c3_1 @ X38 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
    | ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c3_1 @ X34 ) )
    | ~ ndr1_0
    | ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl641,plain,
    ( ( c3_1 @ a153 )
   <= ( c3_1 @ a153 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl301_052,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1166,plain,
    ( ( ( c1_1 @ a153 )
      | ~ ( c2_1 @ a153 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c3_1 @ a153 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl641,zip_derived_cl301]) ).

thf('129',plain,
    ( ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ( c1_1 @ a153 )
    | ~ ( c3_1 @ a153 )
    | ~ ( c2_1 @ a153 ) ),
    inference(split,[status(esa)],[zip_derived_cl1166]) ).

thf(zip_derived_cl641_053,plain,
    ( ( c3_1 @ a153 )
   <= ( c3_1 @ a153 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl222_054,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_cl6]) ).

thf(zip_derived_cl1164,plain,
    ( ( ~ ( c1_1 @ a153 )
      | ~ ( c2_1 @ a153 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a153 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl641,zip_derived_cl222]) ).

thf('130',plain,
    ( ~ ( c1_1 @ a153 )
    | ~ ( c2_1 @ a153 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a153 ) ),
    inference(split,[status(esa)],[zip_derived_cl1164]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp4
    | ( c0_1 @ a128 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( ( c0_1 @ a128 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp4
    | ( c1_1 @ a128 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( ( c1_1 @ a128 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp4
    | ~ ( c3_1 @ a128 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('133',plain,
    ( ~ ( c3_1 @ a128 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl71,plain,
    ! [X107: $i,X108: $i] :
      ( ( c0_1 @ X107 )
      | ( c1_1 @ X107 )
      | ~ ( c2_1 @ X107 )
      | ~ ndr1_0
      | ( c0_1 @ X108 )
      | ( c2_1 @ X108 )
      | ~ ( c1_1 @ X108 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('134',plain,
    ( hskp4
    | ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) )
    | ~ ndr1_0
    | ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c2_1 @ X74 )
        | ~ ( c1_1 @ X74 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp20
    | ( c1_1 @ a168 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl599,plain,
    ( ( c1_1 @ a168 )
   <= ( c1_1 @ a168 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl790_055,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl789]) ).

thf(zip_derived_cl1118,plain,
    ( ~ ( c2_1 @ a168 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c1_1 @ a168 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl790]) ).

thf(zip_derived_cl953,plain,
    ( ( c2_1 @ a168 )
   <= ( c2_1 @ a168 ) ),
    inference(split,[status(esa)],[zip_derived_cl907]) ).

thf('135',plain,
    ( ~ ( c2_1 @ a168 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a168 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1118,zip_derived_cl953]) ).

thf('136',plain,
    ( ( c1_1 @ a168 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf('137',plain,
    ( ( c0_1 @ a167 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('138',plain,
    ( ( c1_1 @ a167 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp30
    | ( c3_1 @ a167 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('139',plain,
    ( ( c3_1 @ a167 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl519_056,plain,
    ( ( c0_1 @ a167 )
   <= ( c0_1 @ a167 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl230_057,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1000,plain,
    ( ( ~ ( c1_1 @ a167 )
      | ~ ( c3_1 @ a167 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c0_1 @ a167 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl519,zip_derived_cl230]) ).

thf('140',plain,
    ( ~ ( c0_1 @ a167 )
    | ~ ( c1_1 @ a167 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c3_1 @ a167 ) ),
    inference(split,[status(esa)],[zip_derived_cl1000]) ).

thf('141',plain,
    ( hskp2
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | hskp19
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl470_058,plain,
    ( ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) )
   <= ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a134 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl697,plain,
    ( ~ ( c0_1 @ a134 )
   <= ~ ( c0_1 @ a134 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl1891,plain,
    ( ( ~ ( c2_1 @ a134 )
      | ( c1_1 @ a134 ) )
   <= ( ~ ( c0_1 @ a134 )
      & ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c2_1 @ X100 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl697]) ).

thf('142',plain,
    ( ( c1_1 @ a134 )
    | ( c0_1 @ a134 )
    | ~ ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c2_1 @ X100 ) )
    | ~ ( c2_1 @ a134 ) ),
    inference(split,[status(esa)],[zip_derived_cl1891]) ).

thf(zip_derived_cl33,plain,
    ! [X33: $i] :
      ( ( c1_1 @ X33 )
      | ( c3_1 @ X33 )
      | ~ ( c2_1 @ X33 )
      | ~ ndr1_0
      | hskp30
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl329,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c2_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c2_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp8
    | ~ ( c3_1 @ a134 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl699,plain,
    ( ~ ( c3_1 @ a134 )
   <= ~ ( c3_1 @ a134 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl1083,plain,
    ( ( ~ ( c2_1 @ a134 )
      | ( c1_1 @ a134 ) )
   <= ( ~ ( c3_1 @ a134 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c3_1 @ X33 )
          | ~ ( c2_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl699]) ).

thf('143',plain,
    ( ( c1_1 @ a134 )
    | ( c3_1 @ a134 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c3_1 @ X33 )
          | ~ ( c2_1 @ X33 ) )
    | ~ ( c2_1 @ a134 ) ),
    inference(split,[status(esa)],[zip_derived_cl1083]) ).

thf(zip_derived_cl699_059,plain,
    ( ~ ( c3_1 @ a134 )
   <= ~ ( c3_1 @ a134 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl242_060,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl855,plain,
    ( ( ~ ( c1_1 @ a134 )
      | ~ ( c2_1 @ a134 ) )
   <= ( ~ ( c3_1 @ a134 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl699,zip_derived_cl242]) ).

thf('144',plain,
    ( ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c1_1 @ a134 )
    | ( c3_1 @ a134 )
    | ~ ( c2_1 @ a134 ) ),
    inference(split,[status(esa)],[zip_derived_cl855]) ).

thf(zip_derived_cl168,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('145',plain,
    ( ndr1_0
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl168]) ).

thf(zip_derived_cl0,plain,
    ( hskp2
    | hskp19
    | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( hskp2
    | hskp19
    | hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl727,plain,
    ( ( c0_1 @ a128 )
   <= ( c0_1 @ a128 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl253_061,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1220,plain,
    ( ( ( c3_1 @ a128 )
      | ~ ( c1_1 @ a128 ) )
   <= ( ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ( c0_1 @ a128 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl253]) ).

thf('147',plain,
    ( ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ~ ( c0_1 @ a128 )
    | ~ ( c1_1 @ a128 )
    | ( c3_1 @ a128 ) ),
    inference(split,[status(esa)],[zip_derived_cl1220]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp2
    | ( c1_1 @ a125 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( ( c1_1 @ a125 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp2
    | ( c2_1 @ a125 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('149',plain,
    ( ( c2_1 @ a125 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl743,plain,
    ( ( c1_1 @ a125 )
   <= ( c1_1 @ a125 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl790_062,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl789]) ).

thf(zip_derived_cl1252,plain,
    ( ~ ( c2_1 @ a125 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c1_1 @ a125 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl743,zip_derived_cl790]) ).

thf(zip_derived_cl745,plain,
    ( ( c2_1 @ a125 )
   <= ( c2_1 @ a125 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf('150',plain,
    ( ~ ( c1_1 @ a125 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a125 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1252,zip_derived_cl745]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp28
    | ( c2_1 @ a133 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('151',plain,
    ( ( c2_1 @ a133 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp28
    | ( c1_1 @ a133 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl535,plain,
    ( ( c1_1 @ a133 )
   <= ( c1_1 @ a133 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl790_063,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl789]) ).

thf(zip_derived_cl1036,plain,
    ( ~ ( c2_1 @ a133 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c1_1 @ a133 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl790]) ).

thf(zip_derived_cl537,plain,
    ( ( c2_1 @ a133 )
   <= ( c2_1 @ a133 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf('152',plain,
    ( ~ ( c1_1 @ a133 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a133 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1036,zip_derived_cl537]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp29
    | ( c1_1 @ a136 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( ( c1_1 @ a136 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp29
    | ( c2_1 @ a136 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('154',plain,
    ( ( c2_1 @ a136 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl529,plain,
    ( ( c1_1 @ a136 )
   <= ( c1_1 @ a136 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl790_064,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl789]) ).

thf(zip_derived_cl1032,plain,
    ( ~ ( c2_1 @ a136 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c1_1 @ a136 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl529,zip_derived_cl790]) ).

thf(zip_derived_cl531,plain,
    ( ( c2_1 @ a136 )
   <= ( c2_1 @ a136 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf('155',plain,
    ( ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c1_1 @ a136 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a136 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1032,zip_derived_cl531]) ).

thf(zip_derived_cl375_065,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl761_066,plain,
    ( ~ ( c0_1 @ a123 )
   <= ~ ( c0_1 @ a123 ) ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf(zip_derived_cl1514,plain,
    ( ( ~ ( c2_1 @ a123 )
      | ( c3_1 @ a123 ) )
   <= ( ~ ( c0_1 @ a123 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c2_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl375,zip_derived_cl761]) ).

thf('156',plain,
    ( ( c3_1 @ a123 )
    | ~ ( c2_1 @ a123 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c2_1 @ X52 ) )
    | ( c0_1 @ a123 ) ),
    inference(split,[status(esa)],[zip_derived_cl1514]) ).

thf(zip_derived_cl197,plain,
    ( ~ hskp1
    | ( c1_1 @ a124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('157',plain,
    ( ( c1_1 @ a124 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl198,plain,
    ( ~ hskp1
    | ( c2_1 @ a124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('158',plain,
    ( ~ hskp1
    | ( c2_1 @ a124 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl199,plain,
    ( ~ hskp1
    | ~ ( c3_1 @ a124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('159',plain,
    ( ~ hskp1
    | ~ ( c3_1 @ a124 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl755,plain,
    ( ~ ( c3_1 @ a124 )
   <= ~ ( c3_1 @ a124 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl242_067,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl873,plain,
    ( ( ~ ( c1_1 @ a124 )
      | ~ ( c2_1 @ a124 ) )
   <= ( ~ ( c3_1 @ a124 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl755,zip_derived_cl242]) ).

thf('160',plain,
    ( ( c3_1 @ a124 )
    | ~ ( c2_1 @ a124 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c1_1 @ a124 ) ),
    inference(split,[status(esa)],[zip_derived_cl873]) ).

thf(zip_derived_cl615,plain,
    ( ( c3_1 @ a160 )
   <= ( c3_1 @ a160 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl334_068,plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c3_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c3_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1151,plain,
    ( ( ( c1_1 @ a160 )
      | ( c2_1 @ a160 ) )
   <= ( ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c3_1 @ X34 ) )
      & ( c3_1 @ a160 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl615,zip_derived_cl334]) ).

thf('161',plain,
    ( ( c1_1 @ a160 )
    | ( c2_1 @ a160 )
    | ~ ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c3_1 @ X34 ) )
    | ~ ( c3_1 @ a160 ) ),
    inference(split,[status(esa)],[zip_derived_cl1151]) ).

thf(zip_derived_cl12,plain,
    ! [X6: $i] :
      ( ( c3_1 @ X6 )
      | ~ ( c1_1 @ X6 )
      | ~ ( c2_1 @ X6 )
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( hskp22
    | ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf('163',plain,
    ( ( c0_1 @ a176 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp22
    | ~ ( c1_1 @ a176 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( ~ ( c1_1 @ a176 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp22
    | ~ ( c2_1 @ a176 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('165',plain,
    ( ~ ( c2_1 @ a176 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl583_069,plain,
    ( ( c0_1 @ a176 )
   <= ( c0_1 @ a176 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl341_070,plain,
    ( ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) )
   <= ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1239,plain,
    ( ( ( c1_1 @ a176 )
      | ( c2_1 @ a176 ) )
   <= ( ! [X39: $i] :
          ( ( c1_1 @ X39 )
          | ( c2_1 @ X39 )
          | ~ ( c0_1 @ X39 ) )
      & ( c0_1 @ a176 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl341]) ).

thf('166',plain,
    ( ~ ! [X39: $i] :
          ( ( c1_1 @ X39 )
          | ( c2_1 @ X39 )
          | ~ ( c0_1 @ X39 ) )
    | ~ ( c0_1 @ a176 )
    | ( c1_1 @ a176 )
    | ( c2_1 @ a176 ) ),
    inference(split,[status(esa)],[zip_derived_cl1239]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp19
    | ( c1_1 @ a164 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('167',plain,
    ( ( c1_1 @ a164 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp19
    | ( c3_1 @ a164 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('168',plain,
    ( ( c3_1 @ a164 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp19
    | ~ ( c2_1 @ a164 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('169',plain,
    ( ~ ( c2_1 @ a164 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl609,plain,
    ( ( c3_1 @ a164 )
   <= ( c3_1 @ a164 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl261_071,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1145,plain,
    ( ( ( c2_1 @ a164 )
      | ~ ( c1_1 @ a164 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c3_1 @ a164 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl609,zip_derived_cl261]) ).

thf('170',plain,
    ( ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c1_1 @ a164 )
    | ~ ( c3_1 @ a164 )
    | ( c2_1 @ a164 ) ),
    inference(split,[status(esa)],[zip_derived_cl1145]) ).

thf('171',plain,
    ( ( c2_1 @ a143 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf('172',plain,
    ( ( c3_1 @ a143 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp13
    | ~ ( c1_1 @ a143 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('173',plain,
    ( ~ ( c1_1 @ a143 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl657_072,plain,
    ( ( c3_1 @ a143 )
   <= ( c3_1 @ a143 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl301_073,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1177,plain,
    ( ( ( c1_1 @ a143 )
      | ~ ( c2_1 @ a143 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c3_1 @ a143 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl657,zip_derived_cl301]) ).

thf('174',plain,
    ( ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c2_1 @ a143 )
    | ~ ( c3_1 @ a143 )
    | ( c1_1 @ a143 ) ),
    inference(split,[status(esa)],[zip_derived_cl1177]) ).

thf(zip_derived_cl28,plain,
    ! [X25: $i,X26: $i,X27: $i] :
      ( ( c1_1 @ X25 )
      | ~ ( c2_1 @ X25 )
      | ~ ( c3_1 @ X25 )
      | ~ ndr1_0
      | ( c3_1 @ X26 )
      | ~ ( c1_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X27 )
      | ~ ( c1_1 @ X27 )
      | ~ ( c3_1 @ X27 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('175',plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf('176',plain,
    ( ( c0_1 @ a122 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp27
    | ( c3_1 @ a122 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('177',plain,
    ( ( c3_1 @ a122 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl30,plain,
    ! [X29: $i] :
      ( ( c1_1 @ X29 )
      | ~ ( c0_1 @ X29 )
      | ~ ( c3_1 @ X29 )
      | ~ ndr1_0
      | hskp3
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('178',plain,
    ( hskp15
    | hskp3
    | ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl80,plain,
    ( ~ hskp30
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('179',plain,
    ( ndr1_0
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl80]) ).

thf(zip_derived_cl164,plain,
    ( ~ hskp9
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('180',plain,
    ( ndr1_0
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl164]) ).

thf(zip_derived_cl176,plain,
    ( ~ hskp6
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('181',plain,
    ( ndr1_0
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl176]) ).

thf(zip_derived_cl5,plain,
    ( hskp30
    | hskp9
    | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('182',plain,
    ( hskp9
    | hskp6
    | hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl4,plain,
    ( hskp27
    | hskp3
    | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('183',plain,
    ( hskp27
    | hskp15
    | hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl543_074,plain,
    ( ( c0_1 @ a122 )
   <= ( c0_1 @ a122 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl313_075,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1052,plain,
    ( ( ( c1_1 @ a122 )
      | ~ ( c3_1 @ a122 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
      & ( c0_1 @ a122 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl543,zip_derived_cl313]) ).

thf('184',plain,
    ( ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
    | ( c1_1 @ a122 )
    | ~ ( c0_1 @ a122 )
    | ~ ( c3_1 @ a122 ) ),
    inference(split,[status(esa)],[zip_derived_cl1052]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp3
    | ( c1_1 @ a127 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('185',plain,
    ( ( c1_1 @ a127 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp3
    | ~ ( c2_1 @ a127 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('186',plain,
    ( ~ ( c2_1 @ a127 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp3
    | ~ ( c3_1 @ a127 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('187',plain,
    ( ~ ( c3_1 @ a127 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl289_076,plain,
    ( ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl739,plain,
    ( ~ ( c3_1 @ a127 )
   <= ~ ( c3_1 @ a127 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl900,plain,
    ( ( ~ ( c1_1 @ a127 )
      | ( c2_1 @ a127 ) )
   <= ( ~ ( c3_1 @ a127 )
      & ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl739]) ).

thf('188',plain,
    ( ( c2_1 @ a127 )
    | ( c3_1 @ a127 )
    | ~ ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) )
    | ~ ( c1_1 @ a127 ) ),
    inference(split,[status(esa)],[zip_derived_cl900]) ).

thf(zip_derived_cl1953,plain,
    ( ~ ( c3_1 @ a138 )
   <= ~ ( c3_1 @ a138 ) ),
    inference(split,[status(esa)],[zip_derived_cl1201]) ).

thf(zip_derived_cl289_077,plain,
    ( ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1956,plain,
    ( ( ( c2_1 @ a138 )
      | ~ ( c1_1 @ a138 ) )
   <= ( ~ ( c3_1 @ a138 )
      & ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1953,zip_derived_cl289]) ).

thf('189',plain,
    ( ~ ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) )
    | ~ ( c1_1 @ a138 )
    | ( c2_1 @ a138 )
    | ( c3_1 @ a138 ) ),
    inference(split,[status(esa)],[zip_derived_cl1956]) ).

thf('190',plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
    | ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
    | ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp8
    | ( c2_1 @ a134 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('191',plain,
    ( ( c2_1 @ a134 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf('192',plain,
    ( ~ ( c0_1 @ a134 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf('193',plain,
    ( ~ ( c3_1 @ a134 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl375_078,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl697_079,plain,
    ( ~ ( c0_1 @ a134 )
   <= ~ ( c0_1 @ a134 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl1519,plain,
    ( ( ~ ( c2_1 @ a134 )
      | ( c3_1 @ a134 ) )
   <= ( ~ ( c0_1 @ a134 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c2_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl375,zip_derived_cl697]) ).

thf('194',plain,
    ( ( c0_1 @ a134 )
    | ( c3_1 @ a134 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c2_1 @ X52 ) )
    | ~ ( c2_1 @ a134 ) ),
    inference(split,[status(esa)],[zip_derived_cl1519]) ).

thf('195',plain,
    ( hskp23
    | hskp8
    | ~ ndr1_0
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp23
    | ( c2_1 @ a179 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('196',plain,
    ( ( c2_1 @ a179 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp23
    | ~ ( c1_1 @ a179 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('197',plain,
    ( ~ ( c1_1 @ a179 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a179 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('198',plain,
    ( ~ ( c3_1 @ a179 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl329_080,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c2_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c2_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl579,plain,
    ( ~ ( c3_1 @ a179 )
   <= ~ ( c3_1 @ a179 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1088,plain,
    ( ( ~ ( c2_1 @ a179 )
      | ( c1_1 @ a179 ) )
   <= ( ~ ( c3_1 @ a179 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c3_1 @ X33 )
          | ~ ( c2_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl579]) ).

thf('199',plain,
    ( ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c3_1 @ X33 )
          | ~ ( c2_1 @ X33 ) )
    | ( c1_1 @ a179 )
    | ( c3_1 @ a179 )
    | ~ ( c2_1 @ a179 ) ),
    inference(split,[status(esa)],[zip_derived_cl1088]) ).

thf('200',plain,
    ( hskp20
    | ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c2_1 @ X33 ) )
    | hskp30
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf('201',plain,
    ( ~ ( c0_1 @ a168 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl375_081,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl601_082,plain,
    ( ~ ( c0_1 @ a168 )
   <= ~ ( c0_1 @ a168 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl1523,plain,
    ( ( ~ ( c2_1 @ a168 )
      | ( c3_1 @ a168 ) )
   <= ( ~ ( c0_1 @ a168 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c2_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl375,zip_derived_cl601]) ).

thf('202',plain,
    ( ~ ( c2_1 @ a168 )
    | ( c0_1 @ a168 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c2_1 @ X52 ) )
    | ( c3_1 @ a168 ) ),
    inference(split,[status(esa)],[zip_derived_cl1523]) ).

thf(zip_derived_cl413_083,plain,
    ( ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c2_1 @ X74 )
        | ~ ( c1_1 @ X74 ) )
   <= ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c2_1 @ X74 )
        | ~ ( c1_1 @ X74 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl601_084,plain,
    ( ~ ( c0_1 @ a168 )
   <= ~ ( c0_1 @ a168 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl1706,plain,
    ( ( ~ ( c1_1 @ a168 )
      | ( c2_1 @ a168 ) )
   <= ( ~ ( c0_1 @ a168 )
      & ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c2_1 @ X74 )
          | ~ ( c1_1 @ X74 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl601]) ).

thf('203',plain,
    ( ~ ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c2_1 @ X74 )
          | ~ ( c1_1 @ X74 ) )
    | ( c2_1 @ a168 )
    | ~ ( c1_1 @ a168 )
    | ( c0_1 @ a168 ) ),
    inference(split,[status(esa)],[zip_derived_cl1706]) ).

thf(zip_derived_cl55,plain,
    ! [X75: $i,X76: $i] :
      ( ( c0_1 @ X75 )
      | ( c2_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ~ ndr1_0
      | ( c3_1 @ X76 )
      | ~ ( c0_1 @ X76 )
      | ~ ( c1_1 @ X76 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('204',plain,
    ( hskp28
    | ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c2_1 @ X74 )
        | ~ ( c1_1 @ X74 ) )
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf('205',plain,
    ( ( c1_1 @ a133 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl539,plain,
    ( ( c3_1 @ a133 )
   <= ( c3_1 @ a133 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl222_085,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_cl6]) ).

thf(zip_derived_cl1044,plain,
    ( ( ~ ( c1_1 @ a133 )
      | ~ ( c2_1 @ a133 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a133 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl539,zip_derived_cl222]) ).

thf('206',plain,
    ( ~ ( c1_1 @ a133 )
    | ~ ( c2_1 @ a133 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a133 ) ),
    inference(split,[status(esa)],[zip_derived_cl1044]) ).

thf(zip_derived_cl7131,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','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYN499+1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xsqMJRTvWR true
% 0.14/0.35  % Computer : n027.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 20:08:20 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % 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
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.52/1.50  % Solved by fo/fo1_av.sh.
% 5.52/1.50  % done 2057 iterations in 0.688s
% 5.52/1.50  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.52/1.50  % SZS output start Refutation
% See solution above
% 5.52/1.51  
% 5.52/1.51  
% 5.52/1.51  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 5.52/1.51  % Terminating...
% 6.65/1.57  % Runner terminated.
% 6.65/1.58  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------