TSTP Solution File: SYN486+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN486+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5QKwK0Tmxm true

% Computer : n025.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 04:04:04 EDT 2023

% Result   : Theorem 6.30s 1.68s
% Output   : Refutation 7.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   68
% Syntax   : Number of formulae    :  730 (   1 unt;  67 typ;   0 def)
%            Number of atoms       : 4681 (   0 equ;   0 cnn)
%            Maximal formula atoms :  757 (   7 avg)
%            Number of connectives : 10040 (2368   ~;2954   |; 514   &;3654   @)
%                                         (   0 <=>; 250  =>; 300  <=;   0 <~>)
%            Maximal formula depth :  110 (   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   :  863 (   0   ^; 863   !;   0   ?; 863   :)

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

thf(a2177_type,type,
    a2177: $i ).

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

thf(a2208_type,type,
    a2208: $i ).

thf(a2187_type,type,
    a2187: $i ).

thf(a2248_type,type,
    a2248: $i ).

thf(a2188_type,type,
    a2188: $i ).

thf(a2195_type,type,
    a2195: $i ).

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

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

thf(a2174_type,type,
    a2174: $i ).

thf(a2181_type,type,
    a2181: $i ).

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

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

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

thf(a2175_type,type,
    a2175: $i ).

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

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

thf(a2179_type,type,
    a2179: $i ).

thf(a2211_type,type,
    a2211: $i ).

thf(a2219_type,type,
    a2219: $i ).

thf(a2196_type,type,
    a2196: $i ).

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

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

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

thf(a2186_type,type,
    a2186: $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(a2185_type,type,
    a2185: $i ).

thf(a2189_type,type,
    a2189: $i ).

thf(a2198_type,type,
    a2198: $i ).

thf(a2216_type,type,
    a2216: $i ).

thf(a2268_type,type,
    a2268: $i ).

thf(a2197_type,type,
    a2197: $i ).

thf(a2194_type,type,
    a2194: $i ).

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

thf(a2213_type,type,
    a2213: $i ).

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

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

thf(a2182_type,type,
    a2182: $i ).

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

thf(a2265_type,type,
    a2265: $i ).

thf(a2184_type,type,
    a2184: $i ).

thf(a2191_type,type,
    a2191: $i ).

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

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

thf(a2193_type,type,
    a2193: $i ).

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

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

thf(a2180_type,type,
    a2180: $i ).

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

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

thf(a2262_type,type,
    a2262: $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(a2176_type,type,
    a2176: $i ).

thf(a2178_type,type,
    a2178: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c1_1 @ a2174 )
          & ( c2_1 @ a2174 )
          & ~ ( c0_1 @ a2174 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c2_1 @ a2175 )
          & ~ ( c0_1 @ a2175 )
          & ~ ( c3_1 @ a2175 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c1_1 @ a2176 )
          & ~ ( c0_1 @ a2176 )
          & ~ ( c3_1 @ a2176 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ ( c0_1 @ a2177 )
          & ~ ( c1_1 @ a2177 )
          & ~ ( c3_1 @ a2177 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c0_1 @ a2179 )
          & ( c2_1 @ a2179 )
          & ~ ( c3_1 @ a2179 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c0_1 @ a2180 )
          & ( c3_1 @ a2180 )
          & ~ ( c1_1 @ a2180 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c1_1 @ a2181 )
          & ( c2_1 @ a2181 )
          & ~ ( c3_1 @ a2181 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c2_1 @ a2182 )
          & ( c3_1 @ a2182 )
          & ~ ( c0_1 @ a2182 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c0_1 @ a2184 )
          & ( c1_1 @ a2184 )
          & ~ ( c3_1 @ a2184 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c2_1 @ a2185 )
          & ~ ( c0_1 @ a2185 )
          & ~ ( c1_1 @ a2185 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c3_1 @ a2186 )
          & ~ ( c0_1 @ a2186 )
          & ~ ( c1_1 @ a2186 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c0_1 @ a2187 )
          & ( c2_1 @ a2187 )
          & ~ ( c1_1 @ a2187 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c1_1 @ a2189 )
          & ~ ( c2_1 @ a2189 )
          & ~ ( c3_1 @ a2189 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c0_1 @ a2191 )
          & ~ ( c1_1 @ a2191 )
          & ~ ( c3_1 @ a2191 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c3_1 @ a2193 )
          & ~ ( c1_1 @ a2193 )
          & ~ ( c2_1 @ a2193 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c0_1 @ a2194 )
          & ( c3_1 @ a2194 )
          & ~ ( c2_1 @ a2194 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ~ ( c1_1 @ a2195 )
          & ~ ( c2_1 @ a2195 )
          & ~ ( c3_1 @ a2195 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c2_1 @ a2197 )
          & ( c3_1 @ a2197 )
          & ~ ( c1_1 @ a2197 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c0_1 @ a2198 )
          & ~ ( c1_1 @ a2198 )
          & ~ ( c2_1 @ a2198 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ ( c0_1 @ a2211 )
          & ~ ( c2_1 @ a2211 )
          & ~ ( c3_1 @ a2211 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c0_1 @ a2213 )
          & ( c1_1 @ a2213 )
          & ~ ( c2_1 @ a2213 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c0_1 @ a2216 )
          & ~ ( c2_1 @ a2216 )
          & ~ ( c3_1 @ a2216 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c2_1 @ a2219 )
          & ~ ( c1_1 @ a2219 )
          & ~ ( c3_1 @ a2219 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ ( c0_1 @ a2248 )
          & ~ ( c1_1 @ a2248 )
          & ~ ( c2_1 @ a2248 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c1_1 @ a2262 )
          & ( c3_1 @ a2262 )
          & ~ ( c0_1 @ a2262 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c1_1 @ a2265 )
          & ( c3_1 @ a2265 )
          & ~ ( c2_1 @ a2265 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c1_1 @ a2268 )
          & ~ ( c0_1 @ a2268 )
          & ~ ( c2_1 @ a2268 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a2178 )
          & ( c2_1 @ a2178 )
          & ( c3_1 @ a2178 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a2188 )
          & ( c1_1 @ a2188 )
          & ( c2_1 @ a2188 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c1_1 @ a2196 )
          & ( c2_1 @ a2196 )
          & ( c3_1 @ a2196 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a2208 )
          & ( c1_1 @ a2208 )
          & ( c3_1 @ a2208 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c3_1 @ V )
              | ~ ( c2_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ~ ( c2_1 @ W )
              | ~ ( c3_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c1_1 @ Y )
              | ~ ( c0_1 @ Y )
              | ~ ( c3_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c2_1 @ Z )
              | ( c3_1 @ Z )
              | ~ ( c1_1 @ Z ) ) ) )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c2_1 @ X1 ) ) )
        | ! [X2: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X2 )
              | ~ ( c2_1 @ X2 )
              | ~ ( c3_1 @ X2 ) ) )
        | hskp0 )
      & ( ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c1_1 @ X3 )
              | ( c3_1 @ X3 ) ) )
        | ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c3_1 @ X4 )
              | ~ ( c2_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ~ ( c1_1 @ X5 )
              | ~ ( c3_1 @ X5 ) ) ) )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c1_1 @ X6 )
              | ( c3_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X7 )
              | ( c2_1 @ X7 )
              | ( c3_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X8 )
              | ~ ( c0_1 @ X8 )
              | ~ ( c2_1 @ X8 ) ) ) )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ( c3_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X10 )
              | ~ ( c2_1 @ X10 )
              | ~ ( c3_1 @ X10 ) ) )
        | hskp1 )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c1_1 @ X11 )
              | ( c3_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X12 )
              | ~ ( c2_1 @ X12 )
              | ~ ( c3_1 @ X12 ) ) )
        | hskp2 )
      & ( ! [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 ) ) )
        | hskp3 )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c2_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ~ ( c1_1 @ X16 )
              | ~ ( c2_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X17 )
              | ~ ( c1_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) ) )
      & ( ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ( c1_1 @ X18 )
              | ~ ( c2_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ~ ( c1_1 @ X19 )
              | ~ ( c2_1 @ X19 ) ) )
        | hskp27 )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c1_1 @ X20 )
              | ~ ( c2_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X21 )
              | ~ ( c2_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) )
        | hskp4 )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c1_1 @ X22 )
              | ~ ( c2_1 @ X22 ) ) )
        | hskp5
        | hskp6 )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c1_1 @ X23 )
              | ~ ( c3_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c3_1 @ X24 )
              | ~ ( c1_1 @ X24 ) ) )
        | ! [X25: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X25 )
              | ( c3_1 @ X25 )
              | ~ ( c1_1 @ X25 ) ) ) )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c1_1 @ X26 )
              | ~ ( c3_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c3_1 @ X27 )
              | ~ ( c2_1 @ X27 ) ) )
        | hskp7 )
      & ( ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c1_1 @ X28 )
              | ~ ( c3_1 @ X28 ) ) )
        | ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ~ ( c1_1 @ X29 )
              | ~ ( c2_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X30 )
              | ( c2_1 @ X30 )
              | ( c3_1 @ X30 ) ) ) )
      & ( ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ( c1_1 @ X31 )
              | ~ ( c3_1 @ X31 ) ) )
        | ! [X32: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X32 )
              | ~ ( c1_1 @ X32 )
              | ~ ( c3_1 @ X32 ) ) )
        | hskp0 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c1_1 @ X33 )
              | ~ ( c3_1 @ X33 ) ) )
        | ! [X34: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X34 )
              | ~ ( c0_1 @ X34 )
              | ~ ( c1_1 @ X34 ) ) )
        | hskp8 )
      & ( ! [X35: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X35 )
              | ( c1_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) )
        | hskp9
        | hskp10 )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c2_1 @ X36 )
              | ( c3_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X37 )
              | ~ ( c0_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) )
        | hskp11 )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ( c2_1 @ X38 )
              | ( c3_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X39 )
              | ~ ( c2_1 @ X39 )
              | ~ ( c3_1 @ X39 ) ) )
        | hskp28 )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ( c2_1 @ X40 )
              | ~ ( c1_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X41 )
              | ~ ( c2_1 @ X41 )
              | ~ ( c3_1 @ X41 ) ) )
        | hskp12 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ( c2_1 @ X42 )
              | ~ ( c3_1 @ X42 ) ) )
        | ! [X43: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X43 )
              | ( c3_1 @ X43 )
              | ~ ( c2_1 @ X43 ) ) )
        | hskp10 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ( c2_1 @ X44 )
              | ~ ( c3_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X45 )
              | ( c3_1 @ X45 )
              | ~ ( c0_1 @ X45 ) ) )
        | hskp13 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ( c2_1 @ X46 )
              | ~ ( c3_1 @ X46 ) ) )
        | ! [X47: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X47 )
              | ~ ( c0_1 @ X47 )
              | ~ ( c1_1 @ X47 ) ) )
        | hskp11 )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ( c2_1 @ X48 )
              | ~ ( c3_1 @ X48 ) ) )
        | ! [X49: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X49 )
              | ~ ( c0_1 @ X49 )
              | ~ ( c3_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X50 )
              | ~ ( c2_1 @ X50 )
              | ~ ( c3_1 @ X50 ) ) ) )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X51 )
              | ( c3_1 @ X51 )
              | ~ ( c1_1 @ X51 ) ) )
        | ! [X52: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X52 )
              | ~ ( c1_1 @ X52 )
              | ~ ( c2_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X53 )
              | ~ ( c0_1 @ X53 )
              | ~ ( c3_1 @ X53 ) ) ) )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X54 )
              | ( c3_1 @ X54 )
              | ~ ( c1_1 @ X54 ) ) )
        | ! [X55: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X55 )
              | ( c3_1 @ X55 )
              | ~ ( c1_1 @ X55 ) ) )
        | hskp14 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X56 )
              | ( c3_1 @ X56 )
              | ~ ( c1_1 @ X56 ) ) )
        | hskp15
        | hskp16 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X57 )
              | ( c3_1 @ X57 )
              | ~ ( c1_1 @ X57 ) ) )
        | hskp29
        | hskp17 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X58 )
              | ( c3_1 @ X58 )
              | ~ ( c2_1 @ X58 ) ) )
        | ! [X59: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X59 )
              | ~ ( c0_1 @ X59 )
              | ~ ( c2_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X60 )
              | ~ ( c0_1 @ X60 )
              | ~ ( c3_1 @ X60 ) ) ) )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X61 )
              | ~ ( c1_1 @ X61 )
              | ~ ( c2_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X62 )
              | ( c3_1 @ X62 )
              | ~ ( c0_1 @ X62 ) ) )
        | hskp18 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X63 )
              | ~ ( c1_1 @ X63 )
              | ~ ( c2_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X64 )
              | ( c3_1 @ X64 )
              | ~ ( c1_1 @ X64 ) ) )
        | hskp2 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X65 )
              | ~ ( c1_1 @ X65 )
              | ~ ( c2_1 @ X65 ) ) )
        | ! [X66: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X66 )
              | ~ ( c1_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) )
        | hskp27 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X67 )
              | ~ ( c1_1 @ X67 )
              | ~ ( c2_1 @ X67 ) ) )
        | hskp15
        | hskp3 )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X68 )
              | ~ ( c2_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | ! [X69: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X69 )
              | ( c2_1 @ X69 )
              | ~ ( c0_1 @ X69 ) ) )
        | ! [X70: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X70 )
              | ~ ( c0_1 @ X70 )
              | ~ ( c2_1 @ X70 ) ) ) )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X71 )
              | ~ ( c2_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ( c2_1 @ X72 )
              | ~ ( c0_1 @ X72 ) ) )
        | hskp29 )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X73 )
              | ~ ( c2_1 @ X73 )
              | ~ ( c3_1 @ X73 ) ) )
        | ! [X74: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X74 )
              | ~ ( c2_1 @ X74 )
              | ~ ( c3_1 @ X74 ) ) )
        | ! [X75: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X75 )
              | ( c3_1 @ X75 )
              | ~ ( c0_1 @ X75 ) ) ) )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X76 )
              | ~ ( c2_1 @ X76 )
              | ~ ( c3_1 @ X76 ) ) )
        | ! [X77: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X77 )
              | ~ ( c0_1 @ X77 )
              | ~ ( c1_1 @ X77 ) ) )
        | hskp16 )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X78 )
              | ~ ( c2_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | ! [X79: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X79 )
              | ~ ( c2_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) )
        | hskp2 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X80 )
              | ( c2_1 @ X80 )
              | ( c3_1 @ X80 ) ) )
        | ! [X81: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X81 )
              | ( c3_1 @ X81 )
              | ~ ( c0_1 @ X81 ) ) )
        | hskp28 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ( c2_1 @ X82 )
              | ( c3_1 @ X82 ) ) )
        | ! [X83: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X83 )
              | ~ ( c0_1 @ X83 )
              | ~ ( c3_1 @ X83 ) ) )
        | ! [X84: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X84 )
              | ~ ( c2_1 @ X84 )
              | ~ ( c3_1 @ X84 ) ) ) )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X85 )
              | ( c2_1 @ X85 )
              | ~ ( c0_1 @ X85 ) ) )
        | ! [X86: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X86 )
              | ( c3_1 @ X86 )
              | ~ ( c2_1 @ X86 ) ) )
        | hskp2 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X87 )
              | ( c2_1 @ X87 )
              | ~ ( c0_1 @ X87 ) ) )
        | hskp30
        | hskp1 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X88 )
              | ( c2_1 @ X88 )
              | ~ ( c0_1 @ X88 ) ) )
        | hskp16 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X89 )
              | ( c3_1 @ X89 )
              | ~ ( c0_1 @ X89 ) ) )
        | ! [X90: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X90 )
              | ~ ( c0_1 @ X90 )
              | ~ ( c2_1 @ X90 ) ) )
        | hskp19 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X91 )
              | ( c3_1 @ X91 )
              | ~ ( c0_1 @ X91 ) ) )
        | hskp28
        | hskp20 )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X92 )
              | ( c3_1 @ X92 )
              | ~ ( c0_1 @ X92 ) ) )
        | hskp15
        | hskp0 )
      & ( ! [X93: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X93 )
              | ( c3_1 @ X93 )
              | ~ ( c2_1 @ X93 ) ) )
        | ! [X94: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X94 )
              | ~ ( c0_1 @ X94 )
              | ~ ( c1_1 @ X94 ) ) )
        | ! [X95: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X95 )
              | ~ ( c1_1 @ X95 )
              | ~ ( c3_1 @ X95 ) ) ) )
      & ( ! [X96: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X96 )
              | ~ ( c0_1 @ X96 )
              | ~ ( c2_1 @ X96 ) ) )
        | ! [X97: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X97 )
              | ~ ( c2_1 @ X97 )
              | ~ ( c3_1 @ X97 ) ) )
        | hskp21 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X98 )
              | ~ ( c0_1 @ X98 )
              | ~ ( c2_1 @ X98 ) ) )
        | ! [X99: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X99 )
              | ~ ( c2_1 @ X99 )
              | ~ ( c3_1 @ X99 ) ) )
        | hskp10 )
      & ( ! [X100: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X100 )
              | ~ ( c0_1 @ X100 )
              | ~ ( c2_1 @ X100 ) ) )
        | hskp28
        | hskp22 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X101 )
              | ~ ( c0_1 @ X101 )
              | ~ ( c3_1 @ X101 ) ) )
        | hskp13
        | hskp16 )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X102 )
              | ~ ( c2_1 @ X102 )
              | ~ ( c3_1 @ X102 ) ) )
        | ! [X103: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X103 )
              | ~ ( c2_1 @ X103 )
              | ~ ( c3_1 @ X103 ) ) )
        | hskp27 )
      & ( ! [X104: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X104 )
              | ( c3_1 @ X104 )
              | ~ ( c1_1 @ X104 ) ) )
        | hskp20
        | hskp16 )
      & ( ! [X105: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X105 )
              | ( c3_1 @ X105 )
              | ~ ( c1_1 @ X105 ) ) )
        | hskp13
        | hskp16 )
      & ( ! [X106: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X106 )
              | ~ ( c0_1 @ X106 )
              | ~ ( c1_1 @ X106 ) ) )
        | ! [X107: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X107 )
              | ~ ( c0_1 @ X107 )
              | ~ ( c1_1 @ X107 ) ) )
        | hskp18 )
      & ( ! [X108: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X108 )
              | ~ ( c0_1 @ X108 )
              | ~ ( c1_1 @ X108 ) ) )
        | ! [X109: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X109 )
              | ~ ( c1_1 @ X109 )
              | ~ ( c2_1 @ X109 ) ) )
        | hskp12 )
      & ( ! [X110: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X110 )
              | ~ ( c0_1 @ X110 )
              | ~ ( c1_1 @ X110 ) ) )
        | hskp17
        | hskp10 )
      & ( ! [X111: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X111 )
              | ~ ( c0_1 @ X111 )
              | ~ ( c1_1 @ X111 ) ) )
        | hskp29
        | hskp9 )
      & ( ! [X112: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X112 )
              | ~ ( c0_1 @ X112 )
              | ~ ( c2_1 @ X112 ) ) )
        | hskp11
        | hskp10 )
      & ( ! [X113: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X113 )
              | ~ ( c1_1 @ X113 )
              | ~ ( c2_1 @ X113 ) ) )
        | ! [X114: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X114 )
              | ~ ( c2_1 @ X114 )
              | ~ ( c3_1 @ X114 ) ) )
        | hskp7 )
      & ( ! [X115: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X115 )
              | ~ ( c1_1 @ X115 )
              | ~ ( c2_1 @ X115 ) ) )
        | hskp0
        | hskp22 )
      & ( ! [X116: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X116 )
              | ~ ( c1_1 @ X116 )
              | ~ ( c3_1 @ X116 ) ) )
        | hskp27
        | hskp22 )
      & ( ! [X117: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X117 )
              | ~ ( c2_1 @ X117 )
              | ~ ( c3_1 @ X117 ) ) )
        | hskp11
        | hskp1 )
      & ( ! [X118: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X118 )
              | ~ ( c2_1 @ X118 )
              | ~ ( c3_1 @ X118 ) ) )
        | hskp27
        | hskp16 )
      & ( ! [X119: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X119 )
              | ~ ( c2_1 @ X119 )
              | ~ ( c3_1 @ X119 ) ) )
        | hskp13
        | hskp19 )
      & ( hskp8
        | hskp4
        | hskp23 )
      & ( hskp5
        | hskp2
        | hskp19 )
      & ( hskp5
        | hskp19
        | hskp16 )
      & ( hskp15
        | hskp3
        | hskp16 )
      & ( hskp13
        | hskp0
        | hskp10 )
      & ( hskp13
        | hskp24
        | hskp14 )
      & ( hskp21
        | hskp25
        | hskp22 )
      & ( hskp24
        | hskp26
        | hskp17 )
      & ( hskp24
        | hskp2
        | hskp9 )
      & ( hskp17
        | hskp3
        | hskp16 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c1_1 @ a2174 )
        & ( c2_1 @ a2174 )
        & ~ ( c0_1 @ a2174 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c2_1 @ a2175 )
        & ~ ( c0_1 @ a2175 )
        & ~ ( c3_1 @ a2175 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c1_1 @ a2176 )
        & ~ ( c0_1 @ a2176 )
        & ~ ( c3_1 @ a2176 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ ( c0_1 @ a2177 )
        & ~ ( c1_1 @ a2177 )
        & ~ ( c3_1 @ a2177 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c0_1 @ a2179 )
        & ( c2_1 @ a2179 )
        & ~ ( c3_1 @ a2179 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c0_1 @ a2180 )
        & ( c3_1 @ a2180 )
        & ~ ( c1_1 @ a2180 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c1_1 @ a2181 )
        & ( c2_1 @ a2181 )
        & ~ ( c3_1 @ a2181 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c2_1 @ a2182 )
        & ( c3_1 @ a2182 )
        & ~ ( c0_1 @ a2182 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c0_1 @ a2184 )
        & ( c1_1 @ a2184 )
        & ~ ( c3_1 @ a2184 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c2_1 @ a2185 )
        & ~ ( c0_1 @ a2185 )
        & ~ ( c1_1 @ a2185 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c3_1 @ a2186 )
        & ~ ( c0_1 @ a2186 )
        & ~ ( c1_1 @ a2186 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c0_1 @ a2187 )
        & ( c2_1 @ a2187 )
        & ~ ( c1_1 @ a2187 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c1_1 @ a2189 )
        & ~ ( c2_1 @ a2189 )
        & ~ ( c3_1 @ a2189 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c0_1 @ a2191 )
        & ~ ( c1_1 @ a2191 )
        & ~ ( c3_1 @ a2191 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c3_1 @ a2193 )
        & ~ ( c1_1 @ a2193 )
        & ~ ( c2_1 @ a2193 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c0_1 @ a2194 )
        & ( c3_1 @ a2194 )
        & ~ ( c2_1 @ a2194 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ ( c1_1 @ a2195 )
        & ~ ( c2_1 @ a2195 )
        & ~ ( c3_1 @ a2195 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c2_1 @ a2197 )
        & ( c3_1 @ a2197 )
        & ~ ( c1_1 @ a2197 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c0_1 @ a2198 )
        & ~ ( c1_1 @ a2198 )
        & ~ ( c2_1 @ a2198 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ ( c0_1 @ a2211 )
        & ~ ( c2_1 @ a2211 )
        & ~ ( c3_1 @ a2211 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c0_1 @ a2213 )
        & ( c1_1 @ a2213 )
        & ~ ( c2_1 @ a2213 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c0_1 @ a2216 )
        & ~ ( c2_1 @ a2216 )
        & ~ ( c3_1 @ a2216 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c2_1 @ a2219 )
        & ~ ( c1_1 @ a2219 )
        & ~ ( c3_1 @ a2219 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ ( c0_1 @ a2248 )
        & ~ ( c1_1 @ a2248 )
        & ~ ( c2_1 @ a2248 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c1_1 @ a2262 )
        & ( c3_1 @ a2262 )
        & ~ ( c0_1 @ a2262 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c1_1 @ a2265 )
        & ( c3_1 @ a2265 )
        & ~ ( c2_1 @ a2265 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c1_1 @ a2268 )
        & ~ ( c0_1 @ a2268 )
        & ~ ( c2_1 @ a2268 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a2178 )
        & ( c2_1 @ a2178 )
        & ( c3_1 @ a2178 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a2188 )
        & ( c1_1 @ a2188 )
        & ( c2_1 @ a2188 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c1_1 @ a2196 )
        & ( c2_1 @ a2196 )
        & ( c3_1 @ a2196 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a2208 )
        & ( c1_1 @ a2208 )
        & ( c3_1 @ a2208 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c3_1 @ V )
            | ~ ( c2_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ~ ( c2_1 @ W )
            | ~ ( c3_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c1_1 @ Y )
            | ~ ( c0_1 @ Y )
            | ~ ( c3_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c2_1 @ Z )
            | ( c3_1 @ Z )
            | ~ ( c1_1 @ Z ) ) ) )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c2_1 @ X1 ) ) )
      | ! [X2: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X2 )
            | ~ ( c2_1 @ X2 )
            | ~ ( c3_1 @ X2 ) ) )
      | hskp0 )
    & ( ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c1_1 @ X3 )
            | ( c3_1 @ X3 ) ) )
      | ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c3_1 @ X4 )
            | ~ ( c2_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ~ ( c1_1 @ X5 )
            | ~ ( c3_1 @ X5 ) ) ) )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c1_1 @ X6 )
            | ( c3_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X7 )
            | ( c2_1 @ X7 )
            | ( c3_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X8 )
            | ~ ( c0_1 @ X8 )
            | ~ ( c2_1 @ X8 ) ) ) )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ( c3_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X10 )
            | ~ ( c2_1 @ X10 )
            | ~ ( c3_1 @ X10 ) ) )
      | hskp1 )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c1_1 @ X11 )
            | ( c3_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X12 )
            | ~ ( c2_1 @ X12 )
            | ~ ( c3_1 @ X12 ) ) )
      | hskp2 )
    & ( ! [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 ) ) )
      | hskp3 )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c2_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ~ ( c1_1 @ X16 )
            | ~ ( c2_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X17 )
            | ~ ( c1_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) ) )
    & ( ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ( c1_1 @ X18 )
            | ~ ( c2_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ~ ( c1_1 @ X19 )
            | ~ ( c2_1 @ X19 ) ) )
      | hskp27 )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c1_1 @ X20 )
            | ~ ( c2_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X21 )
            | ~ ( c2_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) )
      | hskp4 )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c1_1 @ X22 )
            | ~ ( c2_1 @ X22 ) ) )
      | hskp5
      | hskp6 )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c1_1 @ X23 )
            | ~ ( c3_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c3_1 @ X24 )
            | ~ ( c1_1 @ X24 ) ) )
      | ! [X25: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X25 )
            | ( c3_1 @ X25 )
            | ~ ( c1_1 @ X25 ) ) ) )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c1_1 @ X26 )
            | ~ ( c3_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c3_1 @ X27 )
            | ~ ( c2_1 @ X27 ) ) )
      | hskp7 )
    & ( ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c1_1 @ X28 )
            | ~ ( c3_1 @ X28 ) ) )
      | ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ~ ( c1_1 @ X29 )
            | ~ ( c2_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X30 )
            | ( c2_1 @ X30 )
            | ( c3_1 @ X30 ) ) ) )
    & ( ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ( c1_1 @ X31 )
            | ~ ( c3_1 @ X31 ) ) )
      | ! [X32: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X32 )
            | ~ ( c1_1 @ X32 )
            | ~ ( c3_1 @ X32 ) ) )
      | hskp0 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c1_1 @ X33 )
            | ~ ( c3_1 @ X33 ) ) )
      | ! [X34: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X34 )
            | ~ ( c0_1 @ X34 )
            | ~ ( c1_1 @ X34 ) ) )
      | hskp8 )
    & ( ! [X35: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X35 )
            | ( c1_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) )
      | hskp9
      | hskp10 )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c2_1 @ X36 )
            | ( c3_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X37 )
            | ~ ( c0_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) )
      | hskp11 )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ( c2_1 @ X38 )
            | ( c3_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X39 )
            | ~ ( c2_1 @ X39 )
            | ~ ( c3_1 @ X39 ) ) )
      | hskp28 )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ( c2_1 @ X40 )
            | ~ ( c1_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X41 )
            | ~ ( c2_1 @ X41 )
            | ~ ( c3_1 @ X41 ) ) )
      | hskp12 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ( c2_1 @ X42 )
            | ~ ( c3_1 @ X42 ) ) )
      | ! [X43: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X43 )
            | ( c3_1 @ X43 )
            | ~ ( c2_1 @ X43 ) ) )
      | hskp10 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ( c2_1 @ X44 )
            | ~ ( c3_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X45 )
            | ( c3_1 @ X45 )
            | ~ ( c0_1 @ X45 ) ) )
      | hskp13 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ( c2_1 @ X46 )
            | ~ ( c3_1 @ X46 ) ) )
      | ! [X47: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X47 )
            | ~ ( c0_1 @ X47 )
            | ~ ( c1_1 @ X47 ) ) )
      | hskp11 )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ( c2_1 @ X48 )
            | ~ ( c3_1 @ X48 ) ) )
      | ! [X49: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X49 )
            | ~ ( c0_1 @ X49 )
            | ~ ( c3_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X50 )
            | ~ ( c2_1 @ X50 )
            | ~ ( c3_1 @ X50 ) ) ) )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X51 )
            | ( c3_1 @ X51 )
            | ~ ( c1_1 @ X51 ) ) )
      | ! [X52: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X52 )
            | ~ ( c1_1 @ X52 )
            | ~ ( c2_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X53 )
            | ~ ( c0_1 @ X53 )
            | ~ ( c3_1 @ X53 ) ) ) )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X54 )
            | ( c3_1 @ X54 )
            | ~ ( c1_1 @ X54 ) ) )
      | ! [X55: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X55 )
            | ( c3_1 @ X55 )
            | ~ ( c1_1 @ X55 ) ) )
      | hskp14 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X56 )
            | ( c3_1 @ X56 )
            | ~ ( c1_1 @ X56 ) ) )
      | hskp15
      | hskp16 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X57 )
            | ( c3_1 @ X57 )
            | ~ ( c1_1 @ X57 ) ) )
      | hskp29
      | hskp17 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X58 )
            | ( c3_1 @ X58 )
            | ~ ( c2_1 @ X58 ) ) )
      | ! [X59: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X59 )
            | ~ ( c0_1 @ X59 )
            | ~ ( c2_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X60 )
            | ~ ( c0_1 @ X60 )
            | ~ ( c3_1 @ X60 ) ) ) )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X61 )
            | ~ ( c1_1 @ X61 )
            | ~ ( c2_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X62 )
            | ( c3_1 @ X62 )
            | ~ ( c0_1 @ X62 ) ) )
      | hskp18 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X63 )
            | ~ ( c1_1 @ X63 )
            | ~ ( c2_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X64 )
            | ( c3_1 @ X64 )
            | ~ ( c1_1 @ X64 ) ) )
      | hskp2 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X65 )
            | ~ ( c1_1 @ X65 )
            | ~ ( c2_1 @ X65 ) ) )
      | ! [X66: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X66 )
            | ~ ( c1_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) )
      | hskp27 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X67 )
            | ~ ( c1_1 @ X67 )
            | ~ ( c2_1 @ X67 ) ) )
      | hskp15
      | hskp3 )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X68 )
            | ~ ( c2_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | ! [X69: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X69 )
            | ( c2_1 @ X69 )
            | ~ ( c0_1 @ X69 ) ) )
      | ! [X70: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X70 )
            | ~ ( c0_1 @ X70 )
            | ~ ( c2_1 @ X70 ) ) ) )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X71 )
            | ~ ( c2_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ( c2_1 @ X72 )
            | ~ ( c0_1 @ X72 ) ) )
      | hskp29 )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X73 )
            | ~ ( c2_1 @ X73 )
            | ~ ( c3_1 @ X73 ) ) )
      | ! [X74: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X74 )
            | ~ ( c2_1 @ X74 )
            | ~ ( c3_1 @ X74 ) ) )
      | ! [X75: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X75 )
            | ( c3_1 @ X75 )
            | ~ ( c0_1 @ X75 ) ) ) )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X76 )
            | ~ ( c2_1 @ X76 )
            | ~ ( c3_1 @ X76 ) ) )
      | ! [X77: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X77 )
            | ~ ( c0_1 @ X77 )
            | ~ ( c1_1 @ X77 ) ) )
      | hskp16 )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X78 )
            | ~ ( c2_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | ! [X79: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X79 )
            | ~ ( c2_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) )
      | hskp2 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X80 )
            | ( c2_1 @ X80 )
            | ( c3_1 @ X80 ) ) )
      | ! [X81: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X81 )
            | ( c3_1 @ X81 )
            | ~ ( c0_1 @ X81 ) ) )
      | hskp28 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ( c2_1 @ X82 )
            | ( c3_1 @ X82 ) ) )
      | ! [X83: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X83 )
            | ~ ( c0_1 @ X83 )
            | ~ ( c3_1 @ X83 ) ) )
      | ! [X84: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X84 )
            | ~ ( c2_1 @ X84 )
            | ~ ( c3_1 @ X84 ) ) ) )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X85 )
            | ( c2_1 @ X85 )
            | ~ ( c0_1 @ X85 ) ) )
      | ! [X86: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X86 )
            | ( c3_1 @ X86 )
            | ~ ( c2_1 @ X86 ) ) )
      | hskp2 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X87 )
            | ( c2_1 @ X87 )
            | ~ ( c0_1 @ X87 ) ) )
      | hskp30
      | hskp1 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X88 )
            | ( c2_1 @ X88 )
            | ~ ( c0_1 @ X88 ) ) )
      | hskp16 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X89 )
            | ( c3_1 @ X89 )
            | ~ ( c0_1 @ X89 ) ) )
      | ! [X90: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X90 )
            | ~ ( c0_1 @ X90 )
            | ~ ( c2_1 @ X90 ) ) )
      | hskp19 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X91 )
            | ( c3_1 @ X91 )
            | ~ ( c0_1 @ X91 ) ) )
      | hskp28
      | hskp20 )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X92 )
            | ( c3_1 @ X92 )
            | ~ ( c0_1 @ X92 ) ) )
      | hskp15
      | hskp0 )
    & ( ! [X93: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X93 )
            | ( c3_1 @ X93 )
            | ~ ( c2_1 @ X93 ) ) )
      | ! [X94: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X94 )
            | ~ ( c0_1 @ X94 )
            | ~ ( c1_1 @ X94 ) ) )
      | ! [X95: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X95 )
            | ~ ( c1_1 @ X95 )
            | ~ ( c3_1 @ X95 ) ) ) )
    & ( ! [X96: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X96 )
            | ~ ( c0_1 @ X96 )
            | ~ ( c2_1 @ X96 ) ) )
      | ! [X97: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X97 )
            | ~ ( c2_1 @ X97 )
            | ~ ( c3_1 @ X97 ) ) )
      | hskp21 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X98 )
            | ~ ( c0_1 @ X98 )
            | ~ ( c2_1 @ X98 ) ) )
      | ! [X99: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X99 )
            | ~ ( c2_1 @ X99 )
            | ~ ( c3_1 @ X99 ) ) )
      | hskp10 )
    & ( ! [X100: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X100 )
            | ~ ( c0_1 @ X100 )
            | ~ ( c2_1 @ X100 ) ) )
      | hskp28
      | hskp22 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X101 )
            | ~ ( c0_1 @ X101 )
            | ~ ( c3_1 @ X101 ) ) )
      | hskp13
      | hskp16 )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X102 )
            | ~ ( c2_1 @ X102 )
            | ~ ( c3_1 @ X102 ) ) )
      | ! [X103: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X103 )
            | ~ ( c2_1 @ X103 )
            | ~ ( c3_1 @ X103 ) ) )
      | hskp27 )
    & ( ! [X104: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X104 )
            | ( c3_1 @ X104 )
            | ~ ( c1_1 @ X104 ) ) )
      | hskp20
      | hskp16 )
    & ( ! [X105: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X105 )
            | ( c3_1 @ X105 )
            | ~ ( c1_1 @ X105 ) ) )
      | hskp13
      | hskp16 )
    & ( ! [X106: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X106 )
            | ~ ( c0_1 @ X106 )
            | ~ ( c1_1 @ X106 ) ) )
      | ! [X107: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X107 )
            | ~ ( c0_1 @ X107 )
            | ~ ( c1_1 @ X107 ) ) )
      | hskp18 )
    & ( ! [X108: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X108 )
            | ~ ( c0_1 @ X108 )
            | ~ ( c1_1 @ X108 ) ) )
      | ! [X109: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X109 )
            | ~ ( c1_1 @ X109 )
            | ~ ( c2_1 @ X109 ) ) )
      | hskp12 )
    & ( ! [X110: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X110 )
            | ~ ( c0_1 @ X110 )
            | ~ ( c1_1 @ X110 ) ) )
      | hskp17
      | hskp10 )
    & ( ! [X111: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X111 )
            | ~ ( c0_1 @ X111 )
            | ~ ( c1_1 @ X111 ) ) )
      | hskp29
      | hskp9 )
    & ( ! [X112: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X112 )
            | ~ ( c0_1 @ X112 )
            | ~ ( c2_1 @ X112 ) ) )
      | hskp11
      | hskp10 )
    & ( ! [X113: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X113 )
            | ~ ( c1_1 @ X113 )
            | ~ ( c2_1 @ X113 ) ) )
      | ! [X114: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X114 )
            | ~ ( c2_1 @ X114 )
            | ~ ( c3_1 @ X114 ) ) )
      | hskp7 )
    & ( ! [X115: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X115 )
            | ~ ( c1_1 @ X115 )
            | ~ ( c2_1 @ X115 ) ) )
      | hskp0
      | hskp22 )
    & ( ! [X116: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X116 )
            | ~ ( c1_1 @ X116 )
            | ~ ( c3_1 @ X116 ) ) )
      | hskp27
      | hskp22 )
    & ( ! [X117: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X117 )
            | ~ ( c2_1 @ X117 )
            | ~ ( c3_1 @ X117 ) ) )
      | hskp11
      | hskp1 )
    & ( ! [X118: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X118 )
            | ~ ( c2_1 @ X118 )
            | ~ ( c3_1 @ X118 ) ) )
      | hskp27
      | hskp16 )
    & ( ! [X119: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X119 )
            | ~ ( c2_1 @ X119 )
            | ~ ( c3_1 @ X119 ) ) )
      | hskp13
      | hskp19 )
    & ( hskp8
      | hskp4
      | hskp23 )
    & ( hskp5
      | hskp2
      | hskp19 )
    & ( hskp5
      | hskp19
      | hskp16 )
    & ( hskp15
      | hskp3
      | hskp16 )
    & ( hskp13
      | hskp0
      | hskp10 )
    & ( hskp13
      | hskp24
      | hskp14 )
    & ( hskp21
      | hskp25
      | hskp22 )
    & ( hskp24
      | hskp26
      | hskp17 )
    & ( hskp24
      | hskp2
      | hskp9 )
    & ( hskp17
      | hskp3
      | hskp16 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl47,plain,
    ! [X62: $i] :
      ( ( c0_1 @ X62 )
      | ( c3_1 @ X62 )
      | ~ ( c1_1 @ X62 )
      | ~ ndr1_0
      | hskp29
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl377,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a2211 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl587,plain,
    ( ~ ( c3_1 @ a2211 )
   <= ~ ( c3_1 @ a2211 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl1924,plain,
    ( ( ~ ( c1_1 @ a2211 )
      | ( c0_1 @ a2211 ) )
   <= ( ~ ( c3_1 @ a2211 )
      & ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl587]) ).

thf('0',plain,
    ( ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) )
    | ~ ( c1_1 @ a2211 )
    | ( c0_1 @ a2211 )
    | ( c3_1 @ a2211 ) ),
    inference(split,[status(esa)],[zip_derived_cl1924]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp7
    | ( c3_1 @ a2182 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl681,plain,
    ( ( c3_1 @ a2182 )
   <= ( c3_1 @ a2182 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl72,plain,
    ! [X114: $i,X115: $i,X116: $i] :
      ( ( c0_1 @ X114 )
      | ( c1_1 @ X114 )
      | ( c3_1 @ X114 )
      | ~ ndr1_0
      | ( c0_1 @ X115 )
      | ( c3_1 @ X115 )
      | ~ ( c2_1 @ X115 )
      | ~ ndr1_0
      | ( c0_1 @ X116 )
      | ~ ( c1_1 @ X116 )
      | ~ ( c3_1 @ X116 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl477,plain,
    ( ! [X116: $i] :
        ( ( c0_1 @ X116 )
        | ~ ( c1_1 @ X116 )
        | ~ ( c3_1 @ X116 ) )
   <= ! [X116: $i] :
        ( ( c0_1 @ X116 )
        | ~ ( c1_1 @ X116 )
        | ~ ( c3_1 @ X116 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl1812,plain,
    ( ( ( c0_1 @ a2182 )
      | ~ ( c1_1 @ a2182 ) )
   <= ( ! [X116: $i] :
          ( ( c0_1 @ X116 )
          | ~ ( c1_1 @ X116 )
          | ~ ( c3_1 @ X116 ) )
      & ( c3_1 @ a2182 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl681,zip_derived_cl477]) ).

thf('1',plain,
    ( ~ ! [X116: $i] :
          ( ( c0_1 @ X116 )
          | ~ ( c1_1 @ X116 )
          | ~ ( c3_1 @ X116 ) )
    | ~ ( c1_1 @ a2182 )
    | ( c0_1 @ a2182 )
    | ~ ( c3_1 @ a2182 ) ),
    inference(split,[status(esa)],[zip_derived_cl1812]) ).

thf(zip_derived_cl65,plain,
    ! [X98: $i,X99: $i] :
      ( ( c0_1 @ X98 )
      | ( c1_1 @ X98 )
      | ~ ( c2_1 @ X98 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X99 )
      | ~ ( c2_1 @ X99 )
      | ~ ( c3_1 @ X99 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c2_1 @ X97 ) )
    | hskp4
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl21,plain,
    ! [X14: $i] :
      ( ( c2_1 @ X14 )
      | ( c3_1 @ X14 )
      | ~ ( c1_1 @ X14 )
      | ~ ndr1_0
      | hskp13
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl274,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl587_001,plain,
    ( ~ ( c3_1 @ a2211 )
   <= ~ ( c3_1 @ a2211 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl1013,plain,
    ( ( ~ ( c1_1 @ a2211 )
      | ( c2_1 @ a2211 ) )
   <= ( ~ ( c3_1 @ a2211 )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c1_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl587]) ).

thf('3',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
    | ~ ( c1_1 @ a2211 )
    | ( c2_1 @ a2211 )
    | ( c3_1 @ a2211 ) ),
    inference(split,[status(esa)],[zip_derived_cl1013]) ).

thf(zip_derived_cl377_002,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp1
    | ~ ( c3_1 @ a2175 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl731,plain,
    ( ~ ( c3_1 @ a2175 )
   <= ~ ( c3_1 @ a2175 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl1915,plain,
    ( ( ~ ( c1_1 @ a2175 )
      | ( c0_1 @ a2175 ) )
   <= ( ~ ( c3_1 @ a2175 )
      & ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl731]) ).

thf('4',plain,
    ( ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) )
    | ~ ( c1_1 @ a2175 )
    | ( c3_1 @ a2175 )
    | ( c0_1 @ a2175 ) ),
    inference(split,[status(esa)],[zip_derived_cl1915]) ).

thf(zip_derived_cl69,plain,
    ! [X107: $i,X108: $i] :
      ( ( c0_1 @ X107 )
      | ( c1_1 @ X107 )
      | ( c3_1 @ X107 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X108 )
      | ~ ( c2_1 @ X108 )
      | ~ ( c3_1 @ X108 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl466,plain,
    ( ! [X107: $i] :
        ( ( c0_1 @ X107 )
        | ( c1_1 @ X107 )
        | ( c3_1 @ X107 ) )
   <= ! [X107: $i] :
        ( ( c0_1 @ X107 )
        | ( c1_1 @ X107 )
        | ( c3_1 @ X107 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl587_003,plain,
    ( ~ ( c3_1 @ a2211 )
   <= ~ ( c3_1 @ a2211 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl2192,plain,
    ( ( ( c1_1 @ a2211 )
      | ( c0_1 @ a2211 ) )
   <= ( ~ ( c3_1 @ a2211 )
      & ! [X107: $i] :
          ( ( c0_1 @ X107 )
          | ( c1_1 @ X107 )
          | ( c3_1 @ X107 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl587]) ).

thf('5',plain,
    ( ( c1_1 @ a2211 )
    | ( c3_1 @ a2211 )
    | ~ ! [X107: $i] :
          ( ( c0_1 @ X107 )
          | ( c1_1 @ X107 )
          | ( c3_1 @ X107 ) )
    | ( c0_1 @ a2211 ) ),
    inference(split,[status(esa)],[zip_derived_cl2192]) ).

thf(zip_derived_cl31,plain,
    ! [X29: $i,X30: $i] :
      ( ( c1_1 @ X29 )
      | ( c3_1 @ X29 )
      | ~ ( c0_1 @ X29 )
      | ~ ndr1_0
      | ( c1_1 @ X30 )
      | ~ ( c0_1 @ X30 )
      | ~ ( c2_1 @ X30 )
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( hskp19
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 ) )
    | ~ ndr1_0
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl198,plain,
    ( ~ hskp0
    | ( c2_1 @ a2174 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl737,plain,
    ( ( c2_1 @ a2174 )
   <= ( c2_1 @ a2174 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl14,plain,
    ! [X4: $i] :
      ( ( c3_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | hskp0
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl246,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp13
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl230,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_cl10]) ).

thf(zip_derived_cl787,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 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl246,zip_derived_cl230]) ).

thf(zip_derived_cl790,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl787]) ).

thf(zip_derived_cl1654,plain,
    ( ~ ( c1_1 @ a2174 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ( c2_1 @ a2174 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl790]) ).

thf(zip_derived_cl197,plain,
    ( ~ hskp0
    | ( c1_1 @ a2174 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl735,plain,
    ( ( c1_1 @ a2174 )
   <= ( c1_1 @ a2174 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf('7',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a2174 )
    | ~ ( c2_1 @ a2174 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1654,zip_derived_cl735]) ).

thf('8',plain,
    ( ! [X107: $i] :
        ( ( c0_1 @ X107 )
        | ( c1_1 @ X107 )
        | ( c3_1 @ X107 ) )
    | ! [X116: $i] :
        ( ( c0_1 @ X116 )
        | ~ ( c1_1 @ X116 )
        | ~ ( c3_1 @ X116 ) )
    | ~ ndr1_0
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp24
    | ( c3_1 @ a2262 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl545,plain,
    ( ( c3_1 @ a2262 )
   <= ( c3_1 @ a2262 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl477_004,plain,
    ( ! [X116: $i] :
        ( ( c0_1 @ X116 )
        | ~ ( c1_1 @ X116 )
        | ~ ( c3_1 @ X116 ) )
   <= ! [X116: $i] :
        ( ( c0_1 @ X116 )
        | ~ ( c1_1 @ X116 )
        | ~ ( c3_1 @ X116 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl1817,plain,
    ( ( ( c0_1 @ a2262 )
      | ~ ( c1_1 @ a2262 ) )
   <= ( ! [X116: $i] :
          ( ( c0_1 @ X116 )
          | ~ ( c1_1 @ X116 )
          | ~ ( c3_1 @ X116 ) )
      & ( c3_1 @ a2262 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl545,zip_derived_cl477]) ).

thf('9',plain,
    ( ~ ! [X116: $i] :
          ( ( c0_1 @ X116 )
          | ~ ( c1_1 @ X116 )
          | ~ ( c3_1 @ X116 ) )
    | ~ ( c3_1 @ a2262 )
    | ( c0_1 @ a2262 )
    | ~ ( c1_1 @ a2262 ) ),
    inference(split,[status(esa)],[zip_derived_cl1817]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp24
    | ~ ( c0_1 @ a2262 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( ~ ( c0_1 @ a2262 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp4
    | ( c0_1 @ a2179 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( ( c0_1 @ a2179 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp4
    | ( c2_1 @ a2179 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('12',plain,
    ( ( c2_1 @ a2179 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp4
    | ~ ( c3_1 @ a2179 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( ~ ( c3_1 @ a2179 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl707,plain,
    ( ~ ( c3_1 @ a2179 )
   <= ~ ( c3_1 @ a2179 ) ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl16,plain,
    ! [X7: $i] :
      ( ( c3_1 @ X7 )
      | ~ ( c0_1 @ X7 )
      | ~ ( c2_1 @ X7 )
      | ~ ndr1_0
      | hskp11
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl254,plain,
    ( ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c2_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c2_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl932,plain,
    ( ( ~ ( c0_1 @ a2179 )
      | ~ ( c2_1 @ a2179 ) )
   <= ( ~ ( c3_1 @ a2179 )
      & ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl707,zip_derived_cl254]) ).

thf('14',plain,
    ( ( c3_1 @ a2179 )
    | ~ ( c0_1 @ a2179 )
    | ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
    | ~ ( c2_1 @ a2179 ) ),
    inference(split,[status(esa)],[zip_derived_cl932]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp17
    | ( c2_1 @ a2197 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl599,plain,
    ( ( c2_1 @ a2197 )
   <= ( c2_1 @ a2197 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl25,plain,
    ! [X19: $i] :
      ( ( c1_1 @ X19 )
      | ~ ( c0_1 @ X19 )
      | ~ ( c2_1 @ X19 )
      | ~ ndr1_0
      | hskp28
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl290,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1446,plain,
    ( ( ( c1_1 @ a2197 )
      | ~ ( c0_1 @ a2197 ) )
   <= ( ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c2_1 @ X19 ) )
      & ( c2_1 @ a2197 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl290]) ).

thf('15',plain,
    ( ~ ( c0_1 @ a2197 )
    | ~ ( c2_1 @ a2197 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c2_1 @ X19 ) )
    | ( c1_1 @ a2197 ) ),
    inference(split,[status(esa)],[zip_derived_cl1446]) ).

thf('16',plain,
    ( ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c2_1 @ X7 ) )
    | hskp11
    | ~ ndr1_0
    | hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp28
    | ( c2_1 @ a2188 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl515,plain,
    ( ( c2_1 @ a2188 )
   <= ( c2_1 @ a2188 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl246_005,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0
      | hskp11
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl238,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl788,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl246,zip_derived_cl238]) ).

thf(zip_derived_cl791,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl788]) ).

thf(zip_derived_cl1364,plain,
    ( ( ~ ( c0_1 @ a2188 )
      | ~ ( c1_1 @ a2188 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ( c2_1 @ a2188 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl791]) ).

thf('17',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c2_1 @ a2188 )
    | ~ ( c1_1 @ a2188 )
    | ~ ( c0_1 @ a2188 ) ),
    inference(split,[status(esa)],[zip_derived_cl1364]) ).

thf(zip_derived_cl254_006,plain,
    ( ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c2_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c2_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl238_007,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl816,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl238]) ).

thf(zip_derived_cl827,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl816]) ).

thf(zip_derived_cl515_008,plain,
    ( ( c2_1 @ a2188 )
   <= ( c2_1 @ a2188 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl2292,plain,
    ( ~ ( c0_1 @ a2188 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
      & ( c2_1 @ a2188 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl827,zip_derived_cl515]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp28
    | ( c0_1 @ a2188 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl511,plain,
    ( ( c0_1 @ a2188 )
   <= ( c0_1 @ a2188 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('18',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
    | ~ ( c2_1 @ a2188 )
    | ~ ( c0_1 @ a2188 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2292,zip_derived_cl511]) ).

thf(zip_derived_cl35,plain,
    ! [X35: $i,X36: $i,X37: $i] :
      ( ( c1_1 @ X35 )
      | ( c2_1 @ X35 )
      | ( c3_1 @ X35 )
      | ~ ndr1_0
      | ( c1_1 @ X36 )
      | ~ ( c0_1 @ X36 )
      | ~ ( c3_1 @ X36 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X37 )
      | ~ ( c2_1 @ X37 )
      | ~ ( c3_1 @ X37 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('19',plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0
    | ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp30
    | ( c3_1 @ a2208 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl499,plain,
    ( ( c3_1 @ a2208 )
   <= ( c3_1 @ a2208 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl43,plain,
    ! [X53: $i,X54: $i] :
      ( ( c0_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ( c2_1 @ X53 )
      | ~ ndr1_0
      | ( c2_1 @ X54 )
      | ~ ( c1_1 @ X54 )
      | ~ ( c3_1 @ X54 )
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl361,plain,
    ( ! [X54: $i] :
        ( ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c3_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c3_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1739,plain,
    ( ( ( c2_1 @ a2208 )
      | ~ ( c1_1 @ a2208 ) )
   <= ( ! [X54: $i] :
          ( ( c2_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
      & ( c3_1 @ a2208 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl361]) ).

thf('20',plain,
    ( ( c2_1 @ a2208 )
    | ~ ( c3_1 @ a2208 )
    | ~ ! [X54: $i] :
          ( ( c2_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
    | ~ ( c1_1 @ a2208 ) ),
    inference(split,[status(esa)],[zip_derived_cl1739]) ).

thf(zip_derived_cl499_009,plain,
    ( ( c3_1 @ a2208 )
   <= ( c3_1 @ a2208 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl238_010,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1280,plain,
    ( ( ~ ( c0_1 @ a2208 )
      | ~ ( c2_1 @ a2208 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c3_1 @ a2208 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl238]) ).

thf('21',plain,
    ( ~ ( c2_1 @ a2208 )
    | ~ ( c3_1 @ a2208 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c0_1 @ a2208 ) ),
    inference(split,[status(esa)],[zip_derived_cl1280]) ).

thf(zip_derived_cl499_011,plain,
    ( ( c3_1 @ a2208 )
   <= ( c3_1 @ a2208 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl230_012,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_cl10]) ).

thf(zip_derived_cl1279,plain,
    ( ( ~ ( c1_1 @ a2208 )
      | ~ ( c2_1 @ a2208 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a2208 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl230]) ).

thf(zip_derived_cl2552,plain,
    ( ~ ( c2_1 @ a2208 )
   <= ~ ( c2_1 @ a2208 ) ),
    inference(split,[status(esa)],[zip_derived_cl1279]) ).

thf(zip_derived_cl18,plain,
    ! [X9: $i] :
      ( ( c2_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ( c1_1 @ X9 )
      | ~ ndr1_0
      | hskp17
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl262,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl2554,plain,
    ( ( ~ ( c0_1 @ a2208 )
      | ~ ( c1_1 @ a2208 ) )
   <= ( ~ ( c2_1 @ a2208 )
      & ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2552,zip_derived_cl262]) ).

thf('22',plain,
    ( ( c2_1 @ a2208 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
    | ~ ( c0_1 @ a2208 )
    | ~ ( c1_1 @ a2208 ) ),
    inference(split,[status(esa)],[zip_derived_cl2554]) ).

thf('23',plain,
    ( ~ ( c2_1 @ a2208 )
    | ~ ( c1_1 @ a2208 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a2208 ) ),
    inference(split,[status(esa)],[zip_derived_cl1279]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp30
    | ( c0_1 @ a2208 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('24',plain,
    ( ( c0_1 @ a2208 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp30
    | ( c1_1 @ a2208 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( ( c1_1 @ a2208 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf('26',plain,
    ( ( c3_1 @ a2208 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl33,plain,
    ! [X32: $i] :
      ( ( c1_1 @ X32 )
      | ( c2_1 @ X32 )
      | ~ ( c0_1 @ X32 )
      | ~ ndr1_0
      | hskp30
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( hskp30
    | hskp1
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl46,plain,
    ! [X59: $i,X60: $i,X61: $i] :
      ( ( c0_1 @ X59 )
      | ( c3_1 @ X59 )
      | ~ ( c2_1 @ X59 )
      | ~ ndr1_0
      | ( c1_1 @ X60 )
      | ~ ( c0_1 @ X60 )
      | ~ ( c2_1 @ X60 )
      | ~ ndr1_0
      | ( c2_1 @ X61 )
      | ~ ( c0_1 @ X61 )
      | ~ ( c3_1 @ X61 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 ) )
    | ! [X61: $i] :
        ( ( c2_1 @ X61 )
        | ~ ( c0_1 @ X61 )
        | ~ ( c3_1 @ X61 ) )
    | ~ ndr1_0
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp14
    | ( c3_1 @ a2193 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl623,plain,
    ( ( c3_1 @ a2193 )
   <= ( c3_1 @ a2193 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl58,plain,
    ! [X84: $i] :
      ( ( c0_1 @ X84 )
      | ( c1_1 @ X84 )
      | ~ ( c3_1 @ X84 )
      | ~ ndr1_0
      | hskp9
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl421,plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
   <= ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl1974,plain,
    ( ( ( c0_1 @ a2193 )
      | ( c1_1 @ a2193 ) )
   <= ( ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
      & ( c3_1 @ a2193 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl421]) ).

thf('29',plain,
    ( ( c0_1 @ a2193 )
    | ( c1_1 @ a2193 )
    | ~ ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
    | ~ ( c3_1 @ a2193 ) ),
    inference(split,[status(esa)],[zip_derived_cl1974]) ).

thf(zip_derived_cl274_013,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp2
    | ~ ( c3_1 @ a2176 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl723,plain,
    ( ~ ( c3_1 @ a2176 )
   <= ~ ( c3_1 @ a2176 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl1005,plain,
    ( ( ~ ( c1_1 @ a2176 )
      | ( c2_1 @ a2176 ) )
   <= ( ~ ( c3_1 @ a2176 )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c1_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl723]) ).

thf('30',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
    | ( c2_1 @ a2176 )
    | ( c3_1 @ a2176 )
    | ~ ( c1_1 @ a2176 ) ),
    inference(split,[status(esa)],[zip_derived_cl1005]) ).

thf(zip_derived_cl56,plain,
    ! [X80: $i,X81: $i] :
      ( ( c0_1 @ X80 )
      | ( c2_1 @ X80 )
      | ( c3_1 @ X80 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X81 )
      | ~ ( c2_1 @ X81 )
      | ~ ( c3_1 @ X81 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl414,plain,
    ( ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ( c3_1 @ X80 ) )
   <= ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ( c3_1 @ X80 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl723_014,plain,
    ( ~ ( c3_1 @ a2176 )
   <= ~ ( c3_1 @ a2176 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl2105,plain,
    ( ( ( c2_1 @ a2176 )
      | ( c0_1 @ a2176 ) )
   <= ( ~ ( c3_1 @ a2176 )
      & ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c2_1 @ X80 )
          | ( c3_1 @ X80 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl723]) ).

thf('31',plain,
    ( ~ ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c2_1 @ X80 )
          | ( c3_1 @ X80 ) )
    | ( c2_1 @ a2176 )
    | ( c3_1 @ a2176 )
    | ( c0_1 @ a2176 ) ),
    inference(split,[status(esa)],[zip_derived_cl2105]) ).

thf(zip_derived_cl515_015,plain,
    ( ( c2_1 @ a2188 )
   <= ( c2_1 @ a2188 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl790_016,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl787]) ).

thf(zip_derived_cl1363,plain,
    ( ~ ( c1_1 @ a2188 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ( c2_1 @ a2188 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl790]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp28
    | ( c1_1 @ a2188 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl513,plain,
    ( ( c1_1 @ a2188 )
   <= ( c1_1 @ a2188 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf('32',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a2188 )
    | ~ ( c1_1 @ a2188 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1363,zip_derived_cl513]) ).

thf(zip_derived_cl36,plain,
    ! [X38: $i,X39: $i] :
      ( ( c1_1 @ X38 )
      | ( c2_1 @ X38 )
      | ( c3_1 @ X38 )
      | ~ ndr1_0
      | ( c1_1 @ X39 )
      | ( c3_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('33',plain,
    ( hskp28
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
    | ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ( c3_1 @ X35 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl28,plain,
    ! [X24: $i,X25: $i,X26: $i] :
      ( ( c1_1 @ X24 )
      | ( c3_1 @ X24 )
      | ~ ( c2_1 @ X24 )
      | ~ ndr1_0
      | ( c3_1 @ X25 )
      | ~ ( c0_1 @ X25 )
      | ~ ( c1_1 @ X25 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X26 )
      | ~ ( c1_1 @ X26 )
      | ~ ( c3_1 @ X26 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl304,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c3_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c3_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl23,plain,
    ! [X16: $i,X17: $i] :
      ( ( c1_1 @ X16 )
      | ~ ( c2_1 @ X16 )
      | ~ ( c3_1 @ X16 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X17 )
      | ~ ( c2_1 @ X17 )
      | ~ ( c3_1 @ X17 )
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl283,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1184,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c1_1 @ X0 )
        | ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c3_1 @ X24 )
          | ~ ( c2_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl283]) ).

thf(zip_derived_cl1212,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c3_1 @ X24 )
          | ~ ( c2_1 @ X24 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1184]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp9
    | ( c2_1 @ a2185 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl663,plain,
    ( ( c2_1 @ a2185 )
   <= ( c2_1 @ a2185 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl2933,plain,
    ( ( c1_1 @ a2185 )
   <= ( ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c3_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
      & ( c2_1 @ a2185 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1212,zip_derived_cl663]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a2185 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl667,plain,
    ( ~ ( c1_1 @ a2185 )
   <= ~ ( c1_1 @ a2185 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf('34',plain,
    ( ~ ( c2_1 @ a2185 )
    | ( c1_1 @ a2185 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c3_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2933,zip_derived_cl667]) ).

thf(zip_derived_cl623_017,plain,
    ( ( c3_1 @ a2193 )
   <= ( c3_1 @ a2193 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl24,plain,
    ! [X18: $i] :
      ( ( c1_1 @ X18 )
      | ~ ( c0_1 @ X18 )
      | ~ ( c3_1 @ X18 )
      | ~ ndr1_0
      | hskp13
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl286,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1472,plain,
    ( ( ( c1_1 @ a2193 )
      | ~ ( c0_1 @ a2193 ) )
   <= ( ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c3_1 @ a2193 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl286]) ).

thf('35',plain,
    ( ~ ( c0_1 @ a2193 )
    | ( c1_1 @ a2193 )
    | ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ( c3_1 @ a2193 ) ),
    inference(split,[status(esa)],[zip_derived_cl1472]) ).

thf('36',plain,
    ( ( c2_1 @ a2185 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf('37',plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a2185 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1,plain,
    ( hskp24
    | hskp2
    | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( hskp9
    | hskp2
    | hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl34,plain,
    ! [X33: $i,X34: $i] :
      ( ( c1_1 @ X33 )
      | ( c2_1 @ X33 )
      | ~ ( c0_1 @ X33 )
      | ~ ndr1_0
      | ( c1_1 @ X34 )
      | ( c3_1 @ X34 )
      | ~ ( c2_1 @ X34 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('39',plain,
    ( hskp2
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c3_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl29,plain,
    ! [X27: $i] :
      ( ( c1_1 @ X27 )
      | ( c3_1 @ X27 )
      | ~ ( c0_1 @ X27 )
      | ~ ndr1_0
      | hskp15
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl306,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp16
    | ~ ( c3_1 @ a2195 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl611,plain,
    ( ~ ( c3_1 @ a2195 )
   <= ~ ( c3_1 @ a2195 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl1235,plain,
    ( ( ~ ( c0_1 @ a2195 )
      | ( c1_1 @ a2195 ) )
   <= ( ~ ( c3_1 @ a2195 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c0_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl611]) ).

thf('40',plain,
    ( ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c0_1 @ X27 ) )
    | ~ ( c0_1 @ a2195 )
    | ( c3_1 @ a2195 )
    | ( c1_1 @ a2195 ) ),
    inference(split,[status(esa)],[zip_derived_cl1235]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp6
    | ( c1_1 @ a2181 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( ( c1_1 @ a2181 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp6
    | ( c2_1 @ a2181 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('42',plain,
    ( ( c2_1 @ a2181 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp6
    | ~ ( c3_1 @ a2181 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('43',plain,
    ( ~ hskp6
    | ~ ( c3_1 @ a2181 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl691,plain,
    ( ~ ( c3_1 @ a2181 )
   <= ~ ( c3_1 @ a2181 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl246_018,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl879,plain,
    ( ( ~ ( c1_1 @ a2181 )
      | ~ ( c2_1 @ a2181 ) )
   <= ( ~ ( c3_1 @ a2181 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl691,zip_derived_cl246]) ).

thf('44',plain,
    ( ~ ( c1_1 @ a2181 )
    | ~ ( c2_1 @ a2181 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ( c3_1 @ a2181 ) ),
    inference(split,[status(esa)],[zip_derived_cl879]) ).

thf(zip_derived_cl64,plain,
    ! [X97: $i] :
      ( ( c0_1 @ X97 )
      | ( c1_1 @ X97 )
      | ~ ( c2_1 @ X97 )
      | ~ ndr1_0
      | hskp5
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('45',plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c2_1 @ X97 ) )
    | hskp6
    | hskp5
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl37,plain,
    ! [X40: $i,X41: $i] :
      ( ( c0_1 @ X40 )
      | ~ ( c2_1 @ X40 )
      | ~ ( c3_1 @ X40 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X41 )
      | ~ ( c2_1 @ X41 )
      | ~ ( c3_1 @ X41 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('46',plain,
    ( hskp2
    | ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp5
    | ( c0_1 @ a2180 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ( c0_1 @ a2180 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp5
    | ( c3_1 @ a2180 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( ( c3_1 @ a2180 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp5
    | ~ ( c1_1 @ a2180 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( ~ ( c1_1 @ a2180 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl697,plain,
    ( ( c3_1 @ a2180 )
   <= ( c3_1 @ a2180 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl286_019,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1592,plain,
    ( ( ( c1_1 @ a2180 )
      | ~ ( c0_1 @ a2180 ) )
   <= ( ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c3_1 @ a2180 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl286]) ).

thf('50',plain,
    ( ~ ( c3_1 @ a2180 )
    | ( c1_1 @ a2180 )
    | ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ( c0_1 @ a2180 ) ),
    inference(split,[status(esa)],[zip_derived_cl1592]) ).

thf(zip_derived_cl57,plain,
    ! [X82: $i,X83: $i] :
      ( ( c0_1 @ X82 )
      | ( c2_1 @ X82 )
      | ( c3_1 @ X82 )
      | ~ ndr1_0
      | ( c1_1 @ X83 )
      | ~ ( c0_1 @ X83 )
      | ~ ( c3_1 @ X83 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('51',plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
    | ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ( c3_1 @ X80 ) )
    | hskp11
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl466_020,plain,
    ( ! [X107: $i] :
        ( ( c0_1 @ X107 )
        | ( c1_1 @ X107 )
        | ( c3_1 @ X107 ) )
   <= ! [X107: $i] :
        ( ( c0_1 @ X107 )
        | ( c1_1 @ X107 )
        | ( c3_1 @ X107 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl611_021,plain,
    ( ~ ( c3_1 @ a2195 )
   <= ~ ( c3_1 @ a2195 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl2191,plain,
    ( ( ( c1_1 @ a2195 )
      | ( c0_1 @ a2195 ) )
   <= ( ~ ( c3_1 @ a2195 )
      & ! [X107: $i] :
          ( ( c0_1 @ X107 )
          | ( c1_1 @ X107 )
          | ( c3_1 @ X107 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl611]) ).

thf('52',plain,
    ( ( c0_1 @ a2195 )
    | ~ ! [X107: $i] :
          ( ( c0_1 @ X107 )
          | ( c1_1 @ X107 )
          | ( c3_1 @ X107 ) )
    | ( c3_1 @ a2195 )
    | ( c1_1 @ a2195 ) ),
    inference(split,[status(esa)],[zip_derived_cl2191]) ).

thf(zip_derived_cl414_022,plain,
    ( ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ( c3_1 @ X80 ) )
   <= ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ( c3_1 @ X80 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl611_023,plain,
    ( ~ ( c3_1 @ a2195 )
   <= ~ ( c3_1 @ a2195 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl2112,plain,
    ( ( ( c2_1 @ a2195 )
      | ( c0_1 @ a2195 ) )
   <= ( ~ ( c3_1 @ a2195 )
      & ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c2_1 @ X80 )
          | ( c3_1 @ X80 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl611]) ).

thf('53',plain,
    ( ~ ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c2_1 @ X80 )
          | ( c3_1 @ X80 ) )
    | ( c0_1 @ a2195 )
    | ( c3_1 @ a2195 )
    | ( c2_1 @ a2195 ) ),
    inference(split,[status(esa)],[zip_derived_cl2112]) ).

thf(zip_derived_cl32,plain,
    ! [X31: $i] :
      ( ( c1_1 @ X31 )
      | ( c2_1 @ X31 )
      | ~ ( c0_1 @ X31 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl318,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp16
    | ~ ( c2_1 @ a2195 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl609,plain,
    ( ~ ( c2_1 @ a2195 )
   <= ~ ( c2_1 @ a2195 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl1318,plain,
    ( ( ~ ( c0_1 @ a2195 )
      | ( c1_1 @ a2195 ) )
   <= ( ~ ( c2_1 @ a2195 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c0_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl609]) ).

thf('54',plain,
    ( ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
    | ~ ( c0_1 @ a2195 )
    | ( c2_1 @ a2195 )
    | ( c1_1 @ a2195 ) ),
    inference(split,[status(esa)],[zip_derived_cl1318]) ).

thf(zip_derived_cl11,plain,
    ! [X1: $i] :
      ( ~ ( c1_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp27
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('55',plain,
    ( hskp16
    | hskp27
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl63,plain,
    ! [X94: $i,X95: $i,X96: $i] :
      ( ( c0_1 @ X94 )
      | ( c1_1 @ X94 )
      | ~ ( c3_1 @ X94 )
      | ~ ndr1_0
      | ( c0_1 @ X95 )
      | ( c3_1 @ X95 )
      | ~ ( c1_1 @ X95 )
      | ~ ndr1_0
      | ( c2_1 @ X96 )
      | ( c3_1 @ X96 )
      | ~ ( c1_1 @ X96 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
    | ~ ndr1_0
    | ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl2138,plain,
    ( ( c2_1 @ a2176 )
   <= ( c2_1 @ a2176 ) ),
    inference(split,[status(esa)],[zip_derived_cl1005]) ).

thf(zip_derived_cl42,plain,
    ! [X52: $i] :
      ( ( c0_1 @ X52 )
      | ~ ( c1_1 @ X52 )
      | ~ ( c2_1 @ X52 )
      | ~ ndr1_0
      | hskp15
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl357,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl2145,plain,
    ( ( ( c0_1 @ a2176 )
      | ~ ( c1_1 @ a2176 ) )
   <= ( ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c2_1 @ X52 ) )
      & ( c2_1 @ a2176 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2138,zip_derived_cl357]) ).

thf('57',plain,
    ( ~ ( c2_1 @ a2176 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c2_1 @ X52 ) )
    | ( c0_1 @ a2176 )
    | ~ ( c1_1 @ a2176 ) ),
    inference(split,[status(esa)],[zip_derived_cl2145]) ).

thf(zip_derived_cl274_024,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl361_025,plain,
    ( ! [X54: $i] :
        ( ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c3_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c3_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1724,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
      & ! [X54: $i] :
          ( ( c2_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c3_1 @ X54 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl361]) ).

thf(zip_derived_cl1742,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
      & ! [X54: $i] :
          ( ( c2_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c3_1 @ X54 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1724]) ).

thf(zip_derived_cl723_026,plain,
    ( ~ ( c3_1 @ a2176 )
   <= ~ ( c3_1 @ a2176 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl246_027,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl947,plain,
    ( ( ~ ( c1_1 @ a2176 )
      | ~ ( c2_1 @ a2176 ) )
   <= ( ~ ( c3_1 @ a2176 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl723,zip_derived_cl246]) ).

thf(zip_derived_cl1173,plain,
    ( ~ ( c2_1 @ a2176 )
   <= ~ ( c2_1 @ a2176 ) ),
    inference(split,[status(esa)],[zip_derived_cl947]) ).

thf(zip_derived_cl3081,plain,
    ( ~ ( c1_1 @ a2176 )
   <= ( ~ ( c2_1 @ a2176 )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
      & ! [X54: $i] :
          ( ( c2_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c3_1 @ X54 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1742,zip_derived_cl1173]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp2
    | ( c1_1 @ a2176 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl719,plain,
    ( ( c1_1 @ a2176 )
   <= ( c1_1 @ a2176 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf('58',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
    | ( c2_1 @ a2176 )
    | ~ ! [X54: $i] :
          ( ( c2_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
    | ~ ( c1_1 @ a2176 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3081,zip_derived_cl719]) ).

thf(zip_derived_cl466_028,plain,
    ( ! [X107: $i] :
        ( ( c0_1 @ X107 )
        | ( c1_1 @ X107 )
        | ( c3_1 @ X107 ) )
   <= ! [X107: $i] :
        ( ( c0_1 @ X107 )
        | ( c1_1 @ X107 )
        | ( c3_1 @ X107 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a2219 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl563,plain,
    ( ~ ( c3_1 @ a2219 )
   <= ~ ( c3_1 @ a2219 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl2194,plain,
    ( ( ( c1_1 @ a2219 )
      | ( c0_1 @ a2219 ) )
   <= ( ~ ( c3_1 @ a2219 )
      & ! [X107: $i] :
          ( ( c0_1 @ X107 )
          | ( c1_1 @ X107 )
          | ( c3_1 @ X107 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl563]) ).

thf('59',plain,
    ( ( c0_1 @ a2219 )
    | ( c3_1 @ a2219 )
    | ~ ! [X107: $i] :
          ( ( c0_1 @ X107 )
          | ( c1_1 @ X107 )
          | ( c3_1 @ X107 ) )
    | ( c1_1 @ a2219 ) ),
    inference(split,[status(esa)],[zip_derived_cl2194]) ).

thf(zip_derived_cl49,plain,
    ! [X64: $i,X65: $i] :
      ( ( c0_1 @ X64 )
      | ( c3_1 @ X64 )
      | ~ ( c1_1 @ X64 )
      | ~ ndr1_0
      | ( c2_1 @ X65 )
      | ( c3_1 @ X65 )
      | ~ ( c1_1 @ X65 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('60',plain,
    ( hskp14
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
    | ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp12
    | ~ ( c3_1 @ a2189 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl643,plain,
    ( ~ ( c3_1 @ a2189 )
   <= ~ ( c3_1 @ a2189 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl17,plain,
    ! [X8: $i] :
      ( ( c3_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ndr1_0
      | hskp29
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl258,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_cl17]) ).

thf(zip_derived_cl859,plain,
    ( ( ~ ( c0_1 @ a2189 )
      | ~ ( c1_1 @ a2189 ) )
   <= ( ~ ( c3_1 @ a2189 )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl643,zip_derived_cl258]) ).

thf('61',plain,
    ( ~ ( c0_1 @ a2189 )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ( c3_1 @ a2189 )
    | ~ ( c1_1 @ a2189 ) ),
    inference(split,[status(esa)],[zip_derived_cl859]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a2189 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( ~ ( c2_1 @ a2189 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl274_029,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl643_030,plain,
    ( ~ ( c3_1 @ a2189 )
   <= ~ ( c3_1 @ a2189 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl1010,plain,
    ( ( ~ ( c1_1 @ a2189 )
      | ( c2_1 @ a2189 ) )
   <= ( ~ ( c3_1 @ a2189 )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c1_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl643]) ).

thf('63',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
    | ( c2_1 @ a2189 )
    | ( c3_1 @ a2189 )
    | ~ ( c1_1 @ a2189 ) ),
    inference(split,[status(esa)],[zip_derived_cl1010]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp12
    | ( c1_1 @ a2189 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( ( c1_1 @ a2189 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf('65',plain,
    ( ~ ( c3_1 @ a2189 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl51,plain,
    ! [X69: $i,X70: $i,X71: $i] :
      ( ( c0_1 @ X69 )
      | ( c2_1 @ X69 )
      | ~ ( c3_1 @ X69 )
      | ~ ndr1_0
      | ( c2_1 @ X70 )
      | ~ ( c0_1 @ X70 )
      | ~ ( c3_1 @ X70 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X71 )
      | ~ ( c2_1 @ X71 )
      | ~ ( c3_1 @ X71 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c3_1 @ X69 ) )
    | ! [X61: $i] :
        ( ( c2_1 @ X61 )
        | ~ ( c0_1 @ X61 )
        | ~ ( c3_1 @ X61 ) )
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl19,plain,
    ! [X10: $i,X11: $i] :
      ( ( c2_1 @ X10 )
      | ~ ( c0_1 @ X10 )
      | ~ ( c1_1 @ X10 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ( c2_1 @ X11 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('67',plain,
    ( hskp12
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp15
    | ( c3_1 @ a2194 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl617,plain,
    ( ( c3_1 @ a2194 )
   <= ( c3_1 @ a2194 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl373,plain,
    ( ! [X61: $i] :
        ( ( c2_1 @ X61 )
        | ~ ( c0_1 @ X61 )
        | ~ ( c3_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c2_1 @ X61 )
        | ~ ( c0_1 @ X61 )
        | ~ ( c3_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl1770,plain,
    ( ( ( c2_1 @ a2194 )
      | ~ ( c0_1 @ a2194 ) )
   <= ( ! [X61: $i] :
          ( ( c2_1 @ X61 )
          | ~ ( c0_1 @ X61 )
          | ~ ( c3_1 @ X61 ) )
      & ( c3_1 @ a2194 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl617,zip_derived_cl373]) ).

thf('68',plain,
    ( ~ ! [X61: $i] :
          ( ( c2_1 @ X61 )
          | ~ ( c0_1 @ X61 )
          | ~ ( c3_1 @ X61 ) )
    | ~ ( c0_1 @ a2194 )
    | ~ ( c3_1 @ a2194 )
    | ( c2_1 @ a2194 ) ),
    inference(split,[status(esa)],[zip_derived_cl1770]) ).

thf(zip_derived_cl515_031,plain,
    ( ( c2_1 @ a2188 )
   <= ( c2_1 @ a2188 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl266,plain,
    ( ! [X11: $i] :
        ( ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1366,plain,
    ( ( ~ ( c0_1 @ a2188 )
      | ~ ( c1_1 @ a2188 ) )
   <= ( ! [X11: $i] :
          ( ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) )
      & ( c2_1 @ a2188 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl266]) ).

thf('69',plain,
    ( ~ ! [X11: $i] :
          ( ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) )
    | ~ ( c1_1 @ a2188 )
    | ~ ( c0_1 @ a2188 )
    | ~ ( c2_1 @ a2188 ) ),
    inference(split,[status(esa)],[zip_derived_cl1366]) ).

thf('70',plain,
    ( ( c2_1 @ a2188 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf('71',plain,
    ( hskp28
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ( c3_1 @ X80 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl414_032,plain,
    ( ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ( c3_1 @ X80 ) )
   <= ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ( c3_1 @ X80 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl587_033,plain,
    ( ~ ( c3_1 @ a2211 )
   <= ~ ( c3_1 @ a2211 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl2113,plain,
    ( ( ( c2_1 @ a2211 )
      | ( c0_1 @ a2211 ) )
   <= ( ~ ( c3_1 @ a2211 )
      & ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c2_1 @ X80 )
          | ( c3_1 @ X80 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl587]) ).

thf('72',plain,
    ( ~ ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c2_1 @ X80 )
          | ( c3_1 @ X80 ) )
    | ( c0_1 @ a2211 )
    | ( c2_1 @ a2211 )
    | ( c3_1 @ a2211 ) ),
    inference(split,[status(esa)],[zip_derived_cl2113]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a2211 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('73',plain,
    ( ~ ( c0_1 @ a2211 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp19
    | ~ ( c2_1 @ a2211 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('74',plain,
    ( ~ ( c2_1 @ a2211 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf('75',plain,
    ( ~ ( c3_1 @ a2211 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf('76',plain,
    ( hskp19
    | hskp13
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl377_034,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl643_035,plain,
    ( ~ ( c3_1 @ a2189 )
   <= ~ ( c3_1 @ a2189 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl1921,plain,
    ( ( ~ ( c1_1 @ a2189 )
      | ( c0_1 @ a2189 ) )
   <= ( ~ ( c3_1 @ a2189 )
      & ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl643]) ).

thf('77',plain,
    ( ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) )
    | ( c0_1 @ a2189 )
    | ( c3_1 @ a2189 )
    | ~ ( c1_1 @ a2189 ) ),
    inference(split,[status(esa)],[zip_derived_cl1921]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp27
    | ( c3_1 @ a2178 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl523,plain,
    ( ( c3_1 @ a2178 )
   <= ( c3_1 @ a2178 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl238_036,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1386,plain,
    ( ( ~ ( c0_1 @ a2178 )
      | ~ ( c2_1 @ a2178 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c3_1 @ a2178 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl523,zip_derived_cl238]) ).

thf('78',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c2_1 @ a2178 )
    | ~ ( c3_1 @ a2178 )
    | ~ ( c0_1 @ a2178 ) ),
    inference(split,[status(esa)],[zip_derived_cl1386]) ).

thf(zip_derived_cl274_037,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp13
    | ~ ( c3_1 @ a2191 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl635,plain,
    ( ~ ( c3_1 @ a2191 )
   <= ~ ( c3_1 @ a2191 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1011,plain,
    ( ( ~ ( c1_1 @ a2191 )
      | ( c2_1 @ a2191 ) )
   <= ( ~ ( c3_1 @ a2191 )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c1_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl635]) ).

thf(zip_derived_cl2650,plain,
    ( ( c2_1 @ a2191 )
   <= ( c2_1 @ a2191 ) ),
    inference(split,[status(esa)],[zip_derived_cl1011]) ).

thf(zip_derived_cl290_038,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl2661,plain,
    ( ( ( c1_1 @ a2191 )
      | ~ ( c0_1 @ a2191 ) )
   <= ( ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c2_1 @ X19 ) )
      & ( c2_1 @ a2191 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2650,zip_derived_cl290]) ).

thf('79',plain,
    ( ~ ( c2_1 @ a2191 )
    | ( c1_1 @ a2191 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c2_1 @ X19 ) )
    | ~ ( c0_1 @ a2191 ) ),
    inference(split,[status(esa)],[zip_derived_cl2661]) ).

thf(zip_derived_cl318_039,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl635_040,plain,
    ( ~ ( c3_1 @ a2191 )
   <= ~ ( c3_1 @ a2191 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl246_041,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl829,plain,
    ( ( ~ ( c1_1 @ a2191 )
      | ~ ( c2_1 @ a2191 ) )
   <= ( ~ ( c3_1 @ a2191 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl635,zip_derived_cl246]) ).

thf(zip_derived_cl889,plain,
    ( ~ ( c2_1 @ a2191 )
   <= ~ ( c2_1 @ a2191 ) ),
    inference(split,[status(esa)],[zip_derived_cl829]) ).

thf(zip_derived_cl1315,plain,
    ( ( ~ ( c0_1 @ a2191 )
      | ( c1_1 @ a2191 ) )
   <= ( ~ ( c2_1 @ a2191 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c0_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl889]) ).

thf('80',plain,
    ( ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
    | ( c2_1 @ a2191 )
    | ( c1_1 @ a2191 )
    | ~ ( c0_1 @ a2191 ) ),
    inference(split,[status(esa)],[zip_derived_cl1315]) ).

thf('81',plain,
    ( ( c2_1 @ a2197 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a2197 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('82',plain,
    ( ~ ( c1_1 @ a2197 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf('83',plain,
    ( hskp22
    | hskp0
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf('84',plain,
    ( ( c0_1 @ a2188 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('85',plain,
    ( ( c1_1 @ a2188 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl513_042,plain,
    ( ( c1_1 @ a2188 )
   <= ( c1_1 @ a2188 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl511_043,plain,
    ( ( c0_1 @ a2188 )
   <= ( c0_1 @ a2188 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl790_044,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl787]) ).

thf(zip_derived_cl262_045,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl909,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl790,zip_derived_cl262]) ).

thf(zip_derived_cl925,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl909]) ).

thf(zip_derived_cl1297,plain,
    ( ~ ( c1_1 @ a2188 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
      & ( c0_1 @ a2188 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl925]) ).

thf('86',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c0_1 @ a2188 )
    | ~ ( c1_1 @ a2188 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl1297]) ).

thf('87',plain,
    ( ( c3_1 @ a2193 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl623_046,plain,
    ( ( c3_1 @ a2193 )
   <= ( c3_1 @ a2193 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl395,plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c3_1 @ X69 ) )
   <= ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c3_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl1889,plain,
    ( ( ( c0_1 @ a2193 )
      | ( c2_1 @ a2193 ) )
   <= ( ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c2_1 @ X69 )
          | ~ ( c3_1 @ X69 ) )
      & ( c3_1 @ a2193 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl395]) ).

thf('88',plain,
    ( ( c0_1 @ a2193 )
    | ~ ( c3_1 @ a2193 )
    | ~ ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c2_1 @ X69 )
          | ~ ( c3_1 @ X69 ) )
    | ( c2_1 @ a2193 ) ),
    inference(split,[status(esa)],[zip_derived_cl1889]) ).

thf(zip_derived_cl54,plain,
    ! [X76: $i,X77: $i] :
      ( ( c0_1 @ X76 )
      | ( c2_1 @ X76 )
      | ~ ( c3_1 @ X76 )
      | ~ ndr1_0
      | ( c1_1 @ X77 )
      | ( c3_1 @ X77 )
      | ~ ( c2_1 @ X77 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('89',plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c3_1 @ X69 ) )
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c3_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
    | hskp10
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl304_047,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c3_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c3_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl563_048,plain,
    ( ~ ( c3_1 @ a2219 )
   <= ~ ( c3_1 @ a2219 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1197,plain,
    ( ( ~ ( c2_1 @ a2219 )
      | ( c1_1 @ a2219 ) )
   <= ( ~ ( c3_1 @ a2219 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c3_1 @ X24 )
          | ~ ( c2_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl563]) ).

thf('90',plain,
    ( ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c3_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ( c1_1 @ a2219 )
    | ( c3_1 @ a2219 )
    | ~ ( c2_1 @ a2219 ) ),
    inference(split,[status(esa)],[zip_derived_cl1197]) ).

thf(zip_derived_cl331,plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp3
    | ~ ( c3_1 @ a2177 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl715,plain,
    ( ~ ( c3_1 @ a2177 )
   <= ~ ( c3_1 @ a2177 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl1490,plain,
    ( ( ( c2_1 @ a2177 )
      | ( c1_1 @ a2177 ) )
   <= ( ~ ( c3_1 @ a2177 )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c2_1 @ X35 )
          | ( c3_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl331,zip_derived_cl715]) ).

thf('91',plain,
    ( ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c2_1 @ X35 )
          | ( c3_1 @ X35 ) )
    | ( c2_1 @ a2177 )
    | ( c1_1 @ a2177 )
    | ( c3_1 @ a2177 ) ),
    inference(split,[status(esa)],[zip_derived_cl1490]) ).

thf(zip_derived_cl306_049,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl563_050,plain,
    ( ~ ( c3_1 @ a2219 )
   <= ~ ( c3_1 @ a2219 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1238,plain,
    ( ( ~ ( c0_1 @ a2219 )
      | ( c1_1 @ a2219 ) )
   <= ( ~ ( c3_1 @ a2219 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c0_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl563]) ).

thf('92',plain,
    ( ~ ( c0_1 @ a2219 )
    | ( c3_1 @ a2219 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c0_1 @ X27 ) )
    | ( c1_1 @ a2219 ) ),
    inference(split,[status(esa)],[zip_derived_cl1238]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp22
    | ( c2_1 @ a2219 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('93',plain,
    ( ( c2_1 @ a2219 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp22
    | ~ ( c1_1 @ a2219 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ~ ( c1_1 @ a2219 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('95',plain,
    ( ~ ( c3_1 @ a2219 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl3,plain,
    ( hskp21
    | hskp25
    | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('96',plain,
    ( hskp22
    | hskp21
    | hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp25
    | ( c1_1 @ a2265 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('97',plain,
    ( ~ hskp25
    | ( c1_1 @ a2265 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp25
    | ( c3_1 @ a2265 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('98',plain,
    ( ~ hskp25
    | ( c3_1 @ a2265 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp25
    | ~ ( c2_1 @ a2265 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( ~ hskp25
    | ~ ( c2_1 @ a2265 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl537,plain,
    ( ( c3_1 @ a2265 )
   <= ( c3_1 @ a2265 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl361_051,plain,
    ( ! [X54: $i] :
        ( ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c3_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c3_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1736,plain,
    ( ( ( c2_1 @ a2265 )
      | ~ ( c1_1 @ a2265 ) )
   <= ( ! [X54: $i] :
          ( ( c2_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
      & ( c3_1 @ a2265 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl361]) ).

thf('100',plain,
    ( ( c2_1 @ a2265 )
    | ~ ( c3_1 @ a2265 )
    | ~ ! [X54: $i] :
          ( ( c2_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
    | ~ ( c1_1 @ a2265 ) ),
    inference(split,[status(esa)],[zip_derived_cl1736]) ).

thf(zip_derived_cl62,plain,
    ! [X92: $i,X93: $i] :
      ( ( c0_1 @ X92 )
      | ( c1_1 @ X92 )
      | ~ ( c3_1 @ X92 )
      | ~ ndr1_0
      | ( c0_1 @ X93 )
      | ( c3_1 @ X93 )
      | ~ ( c2_1 @ X93 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
    | hskp7
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl375,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl563_052,plain,
    ( ~ ( c3_1 @ a2219 )
   <= ~ ( c3_1 @ a2219 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1848,plain,
    ( ( ~ ( c2_1 @ a2219 )
      | ( c0_1 @ a2219 ) )
   <= ( ~ ( c3_1 @ a2219 )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl375,zip_derived_cl563]) ).

thf('102',plain,
    ( ( c0_1 @ a2219 )
    | ~ ( c2_1 @ a2219 )
    | ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ( c3_1 @ a2219 ) ),
    inference(split,[status(esa)],[zip_derived_cl1848]) ).

thf(zip_derived_cl375_053,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl715_054,plain,
    ( ~ ( c3_1 @ a2177 )
   <= ~ ( c3_1 @ a2177 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl1839,plain,
    ( ( ~ ( c2_1 @ a2177 )
      | ( c0_1 @ a2177 ) )
   <= ( ~ ( c3_1 @ a2177 )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl375,zip_derived_cl715]) ).

thf('103',plain,
    ( ( c0_1 @ a2177 )
    | ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ( c3_1 @ a2177 )
    | ~ ( c2_1 @ a2177 ) ),
    inference(split,[status(esa)],[zip_derived_cl1839]) ).

thf(zip_derived_cl112,plain,
    ( ~ hskp21
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( ndr1_0
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl112]) ).

thf(zip_derived_cl30,plain,
    ! [X28: $i] :
      ( ( c1_1 @ X28 )
      | ( c3_1 @ X28 )
      | ~ ( c0_1 @ X28 )
      | ~ ndr1_0
      | hskp28
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('105',plain,
    ( hskp20
    | hskp28
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp20
    | ( c1_1 @ a2213 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('106',plain,
    ( ( c1_1 @ a2213 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp20
    | ( c0_1 @ a2213 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( ( c0_1 @ a2213 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp20
    | ~ ( c2_1 @ a2213 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( ~ hskp20
    | ~ ( c2_1 @ a2213 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl262_055,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl579,plain,
    ( ~ ( c2_1 @ a2213 )
   <= ~ ( c2_1 @ a2213 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl903,plain,
    ( ( ~ ( c1_1 @ a2213 )
      | ~ ( c0_1 @ a2213 ) )
   <= ( ~ ( c2_1 @ a2213 )
      & ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl579]) ).

thf('109',plain,
    ( ( c2_1 @ a2213 )
    | ~ ( c0_1 @ a2213 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
    | ~ ( c1_1 @ a2213 ) ),
    inference(split,[status(esa)],[zip_derived_cl903]) ).

thf(zip_derived_cl523_056,plain,
    ( ( c3_1 @ a2178 )
   <= ( c3_1 @ a2178 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl283_057,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1388,plain,
    ( ( ( c1_1 @ a2178 )
      | ~ ( c2_1 @ a2178 ) )
   <= ( ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
      & ( c3_1 @ a2178 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl523,zip_derived_cl283]) ).

thf('110',plain,
    ( ( c1_1 @ a2178 )
    | ~ ( c2_1 @ a2178 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
    | ~ ( c3_1 @ a2178 ) ),
    inference(split,[status(esa)],[zip_derived_cl1388]) ).

thf(zip_derived_cl523_058,plain,
    ( ( c3_1 @ a2178 )
   <= ( c3_1 @ a2178 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl230_059,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_cl10]) ).

thf(zip_derived_cl1385,plain,
    ( ( ~ ( c1_1 @ a2178 )
      | ~ ( c2_1 @ a2178 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a2178 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl523,zip_derived_cl230]) ).

thf('111',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a2178 )
    | ~ ( c2_1 @ a2178 )
    | ~ ( c3_1 @ a2178 ) ),
    inference(split,[status(esa)],[zip_derived_cl1385]) ).

thf(zip_derived_cl27,plain,
    ! [X22: $i,X23: $i] :
      ( ( c1_1 @ X22 )
      | ~ ( c0_1 @ X22 )
      | ~ ( c2_1 @ X22 )
      | ~ ndr1_0
      | ( c1_1 @ X23 )
      | ~ ( c2_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('112',plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
    | hskp21
    | ~ ndr1_0
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp27
    | ( c2_1 @ a2178 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('113',plain,
    ( ( c2_1 @ a2178 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf('114',plain,
    ( ( c3_1 @ a2178 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl318_060,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp14
    | ~ ( c2_1 @ a2193 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl627,plain,
    ( ~ ( c2_1 @ a2193 )
   <= ~ ( c2_1 @ a2193 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl1316,plain,
    ( ( ~ ( c0_1 @ a2193 )
      | ( c1_1 @ a2193 ) )
   <= ( ~ ( c2_1 @ a2193 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c0_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl627]) ).

thf('115',plain,
    ( ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
    | ~ ( c0_1 @ a2193 )
    | ( c1_1 @ a2193 )
    | ( c2_1 @ a2193 ) ),
    inference(split,[status(esa)],[zip_derived_cl1316]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp14
    | ~ ( c1_1 @ a2193 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( ~ ( c1_1 @ a2193 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf('117',plain,
    ( ~ ( c2_1 @ a2193 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl4,plain,
    ( hskp13
    | hskp24
    | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('118',plain,
    ( hskp14
    | hskp24
    | hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp24
    | ( c1_1 @ a2262 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( ( c1_1 @ a2262 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl545_061,plain,
    ( ( c3_1 @ a2262 )
   <= ( c3_1 @ a2262 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl230_062,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_cl10]) ).

thf(zip_derived_cl1399,plain,
    ( ( ~ ( c1_1 @ a2262 )
      | ~ ( c2_1 @ a2262 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a2262 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl545,zip_derived_cl230]) ).

thf('120',plain,
    ( ~ ( c2_1 @ a2262 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a2262 )
    | ~ ( c1_1 @ a2262 ) ),
    inference(split,[status(esa)],[zip_derived_cl1399]) ).

thf('121',plain,
    ( ( c3_1 @ a2262 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl545_063,plain,
    ( ( c3_1 @ a2262 )
   <= ( c3_1 @ a2262 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl361_064,plain,
    ( ! [X54: $i] :
        ( ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c3_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c3_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1735,plain,
    ( ( ( c2_1 @ a2262 )
      | ~ ( c1_1 @ a2262 ) )
   <= ( ! [X54: $i] :
          ( ( c2_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
      & ( c3_1 @ a2262 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl545,zip_derived_cl361]) ).

thf('122',plain,
    ( ( c2_1 @ a2262 )
    | ~ ( c3_1 @ a2262 )
    | ~ ! [X54: $i] :
          ( ( c2_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
    | ~ ( c1_1 @ a2262 ) ),
    inference(split,[status(esa)],[zip_derived_cl1735]) ).

thf(zip_derived_cl60,plain,
    ! [X87: $i,X88: $i] :
      ( ( c0_1 @ X87 )
      | ( c1_1 @ X87 )
      | ~ ( c3_1 @ X87 )
      | ~ ndr1_0
      | ( c2_1 @ X88 )
      | ~ ( c1_1 @ X88 )
      | ~ ( c3_1 @ X88 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
    | ! [X54: $i] :
        ( ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c3_1 @ X54 ) )
    | hskp0
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl681_065,plain,
    ( ( c3_1 @ a2182 )
   <= ( c3_1 @ a2182 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl421_066,plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
   <= ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl1972,plain,
    ( ( ( c0_1 @ a2182 )
      | ( c1_1 @ a2182 ) )
   <= ( ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
      & ( c3_1 @ a2182 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl681,zip_derived_cl421]) ).

thf('124',plain,
    ( ( c1_1 @ a2182 )
    | ( c0_1 @ a2182 )
    | ~ ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
    | ~ ( c3_1 @ a2182 ) ),
    inference(split,[status(esa)],[zip_derived_cl1972]) ).

thf(zip_derived_cl681_067,plain,
    ( ( c3_1 @ a2182 )
   <= ( c3_1 @ a2182 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl283_068,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1564,plain,
    ( ( ( c1_1 @ a2182 )
      | ~ ( c2_1 @ a2182 ) )
   <= ( ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
      & ( c3_1 @ a2182 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl681,zip_derived_cl283]) ).

thf('125',plain,
    ( ( c1_1 @ a2182 )
    | ~ ( c2_1 @ a2182 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
    | ~ ( c3_1 @ a2182 ) ),
    inference(split,[status(esa)],[zip_derived_cl1564]) ).

thf(zip_derived_cl66,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
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c2_1 @ X97 ) )
    | hskp27
    | ~ ndr1_0
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp7
    | ( c2_1 @ a2182 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl679,plain,
    ( ( c2_1 @ a2182 )
   <= ( c2_1 @ a2182 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl445,plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c2_1 @ X97 ) )
   <= ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c2_1 @ X97 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl2000,plain,
    ( ( ( c0_1 @ a2182 )
      | ( c1_1 @ a2182 ) )
   <= ( ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c2_1 @ X97 ) )
      & ( c2_1 @ a2182 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl679,zip_derived_cl445]) ).

thf('127',plain,
    ( ( c1_1 @ a2182 )
    | ~ ( c2_1 @ a2182 )
    | ~ ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c2_1 @ X97 ) )
    | ( c0_1 @ a2182 ) ),
    inference(split,[status(esa)],[zip_derived_cl2000]) ).

thf(zip_derived_cl73,plain,
    ! [X117: $i,X118: $i] :
      ( ( c0_1 @ X117 )
      | ( c1_1 @ X117 )
      | ( c2_1 @ X117 )
      | ~ ndr1_0
      | ( c1_1 @ X118 )
      | ~ ( c2_1 @ X118 )
      | ~ ( c3_1 @ X118 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl482,plain,
    ( ! [X117: $i] :
        ( ( c0_1 @ X117 )
        | ( c1_1 @ X117 )
        | ( c2_1 @ X117 ) )
   <= ! [X117: $i] :
        ( ( c0_1 @ X117 )
        | ( c1_1 @ X117 )
        | ( c2_1 @ X117 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl627_069,plain,
    ( ~ ( c2_1 @ a2193 )
   <= ~ ( c2_1 @ a2193 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl2240,plain,
    ( ( ( c1_1 @ a2193 )
      | ( c0_1 @ a2193 ) )
   <= ( ~ ( c2_1 @ a2193 )
      & ! [X117: $i] :
          ( ( c0_1 @ X117 )
          | ( c1_1 @ X117 )
          | ( c2_1 @ X117 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl627]) ).

thf('128',plain,
    ( ( c0_1 @ a2193 )
    | ( c1_1 @ a2193 )
    | ~ ! [X117: $i] :
          ( ( c0_1 @ X117 )
          | ( c1_1 @ X117 )
          | ( c2_1 @ X117 ) )
    | ( c2_1 @ a2193 ) ),
    inference(split,[status(esa)],[zip_derived_cl2240]) ).

thf(zip_derived_cl681_070,plain,
    ( ( c3_1 @ a2182 )
   <= ( c3_1 @ a2182 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl230_071,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_cl10]) ).

thf(zip_derived_cl1561,plain,
    ( ( ~ ( c1_1 @ a2182 )
      | ~ ( c2_1 @ a2182 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a2182 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl681,zip_derived_cl230]) ).

thf('129',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a2182 )
    | ~ ( c3_1 @ a2182 )
    | ~ ( c1_1 @ a2182 ) ),
    inference(split,[status(esa)],[zip_derived_cl1561]) ).

thf(zip_derived_cl521,plain,
    ( ( c2_1 @ a2178 )
   <= ( c2_1 @ a2178 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl290_072,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1381,plain,
    ( ( ( c1_1 @ a2178 )
      | ~ ( c0_1 @ a2178 ) )
   <= ( ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c2_1 @ X19 ) )
      & ( c2_1 @ a2178 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl290]) ).

thf('130',plain,
    ( ( c1_1 @ a2178 )
    | ~ ( c2_1 @ a2178 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c2_1 @ X19 ) )
    | ~ ( c0_1 @ a2178 ) ),
    inference(split,[status(esa)],[zip_derived_cl1381]) ).

thf(zip_derived_cl45,plain,
    ! [X57: $i,X58: $i] :
      ( ( c0_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ( c2_1 @ X57 )
      | ~ ndr1_0
      | ( c1_1 @ X58 )
      | ( c3_1 @ X58 )
      | ~ ( c0_1 @ X58 )
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( hskp18
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
    | ~ ndr1_0
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf('132',plain,
    ( hskp0
    | hskp15
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl318_073,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp15
    | ~ ( c2_1 @ a2194 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl619,plain,
    ( ~ ( c2_1 @ a2194 )
   <= ~ ( c2_1 @ a2194 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl1317,plain,
    ( ( ~ ( c0_1 @ a2194 )
      | ( c1_1 @ a2194 ) )
   <= ( ~ ( c2_1 @ a2194 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c0_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl619]) ).

thf('133',plain,
    ( ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
    | ( c1_1 @ a2194 )
    | ( c2_1 @ a2194 )
    | ~ ( c0_1 @ a2194 ) ),
    inference(split,[status(esa)],[zip_derived_cl1317]) ).

thf(zip_derived_cl559,plain,
    ( ( c2_1 @ a2219 )
   <= ( c2_1 @ a2219 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl445_074,plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c2_1 @ X97 ) )
   <= ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c2_1 @ X97 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl2004,plain,
    ( ( ( c0_1 @ a2219 )
      | ( c1_1 @ a2219 ) )
   <= ( ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c2_1 @ X97 ) )
      & ( c2_1 @ a2219 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl559,zip_derived_cl445]) ).

thf('134',plain,
    ( ( c0_1 @ a2219 )
    | ~ ( c2_1 @ a2219 )
    | ~ ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c2_1 @ X97 ) )
    | ( c1_1 @ a2219 ) ),
    inference(split,[status(esa)],[zip_derived_cl2004]) ).

thf(zip_derived_cl617_075,plain,
    ( ( c3_1 @ a2194 )
   <= ( c3_1 @ a2194 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl361_076,plain,
    ( ! [X54: $i] :
        ( ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c3_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c3_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1733,plain,
    ( ( ( c2_1 @ a2194 )
      | ~ ( c1_1 @ a2194 ) )
   <= ( ! [X54: $i] :
          ( ( c2_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
      & ( c3_1 @ a2194 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl617,zip_derived_cl361]) ).

thf('135',plain,
    ( ~ ! [X54: $i] :
          ( ( c2_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
    | ~ ( c1_1 @ a2194 )
    | ( c2_1 @ a2194 )
    | ~ ( c3_1 @ a2194 ) ),
    inference(split,[status(esa)],[zip_derived_cl1733]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp18
    | ( c0_1 @ a2198 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('136',plain,
    ( ( c0_1 @ a2198 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a2198 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ~ ( c1_1 @ a2198 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a2198 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( ~ ( c2_1 @ a2198 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl318_077,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl595,plain,
    ( ~ ( c2_1 @ a2198 )
   <= ~ ( c2_1 @ a2198 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1319,plain,
    ( ( ~ ( c0_1 @ a2198 )
      | ( c1_1 @ a2198 ) )
   <= ( ~ ( c2_1 @ a2198 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c0_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl595]) ).

thf('139',plain,
    ( ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
    | ( c1_1 @ a2198 )
    | ( c2_1 @ a2198 )
    | ~ ( c0_1 @ a2198 ) ),
    inference(split,[status(esa)],[zip_derived_cl1319]) ).

thf(zip_derived_cl258_078,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_cl17]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp21
    | ~ ( c3_1 @ a2216 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl571,plain,
    ( ~ ( c3_1 @ a2216 )
   <= ~ ( c3_1 @ a2216 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl847,plain,
    ( ( ~ ( c1_1 @ a2216 )
      | ~ ( c0_1 @ a2216 ) )
   <= ( ~ ( c3_1 @ a2216 )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl571]) ).

thf('140',plain,
    ( ~ ( c1_1 @ a2216 )
    | ~ ( c0_1 @ a2216 )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ( c3_1 @ a2216 ) ),
    inference(split,[status(esa)],[zip_derived_cl847]) ).

thf(zip_derived_cl318_079,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp21
    | ~ ( c2_1 @ a2216 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl569,plain,
    ( ~ ( c2_1 @ a2216 )
   <= ~ ( c2_1 @ a2216 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl1322,plain,
    ( ( ~ ( c0_1 @ a2216 )
      | ( c1_1 @ a2216 ) )
   <= ( ~ ( c2_1 @ a2216 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c0_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl569]) ).

thf('141',plain,
    ( ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
    | ( c1_1 @ a2216 )
    | ( c2_1 @ a2216 )
    | ~ ( c0_1 @ a2216 ) ),
    inference(split,[status(esa)],[zip_derived_cl1322]) ).

thf(zip_derived_cl262_080,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl569_081,plain,
    ( ~ ( c2_1 @ a2216 )
   <= ~ ( c2_1 @ a2216 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl904,plain,
    ( ( ~ ( c1_1 @ a2216 )
      | ~ ( c0_1 @ a2216 ) )
   <= ( ~ ( c2_1 @ a2216 )
      & ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl569]) ).

thf('142',plain,
    ( ~ ( c1_1 @ a2216 )
    | ~ ( c0_1 @ a2216 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
    | ( c2_1 @ a2216 ) ),
    inference(split,[status(esa)],[zip_derived_cl904]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp21
    | ( c0_1 @ a2216 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('143',plain,
    ( ( c0_1 @ a2216 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf('144',plain,
    ( ~ ( c2_1 @ a2216 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf('145',plain,
    ( ~ ( c3_1 @ a2216 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl306_082,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl571_083,plain,
    ( ~ ( c3_1 @ a2216 )
   <= ~ ( c3_1 @ a2216 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl1237,plain,
    ( ( ~ ( c0_1 @ a2216 )
      | ( c1_1 @ a2216 ) )
   <= ( ~ ( c3_1 @ a2216 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c0_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl571]) ).

thf('146',plain,
    ( ( c1_1 @ a2216 )
    | ( c3_1 @ a2216 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c0_1 @ X27 ) )
    | ~ ( c0_1 @ a2216 ) ),
    inference(split,[status(esa)],[zip_derived_cl1237]) ).

thf(zip_derived_cl20,plain,
    ! [X12: $i,X13: $i] :
      ( ( c2_1 @ X12 )
      | ~ ( c0_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ndr1_0
      | ( c3_1 @ X13 )
      | ~ ( c0_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('147',plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
    | hskp18
    | ~ ndr1_0
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf('148',plain,
    ( hskp16
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp13
    | ( c0_1 @ a2191 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('149',plain,
    ( ( c0_1 @ a2191 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp13
    | ~ ( c1_1 @ a2191 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ~ ( c1_1 @ a2191 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf('151',plain,
    ( ~ ( c3_1 @ a2191 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl306_084,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl635_085,plain,
    ( ~ ( c3_1 @ a2191 )
   <= ~ ( c3_1 @ a2191 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1234,plain,
    ( ( ~ ( c0_1 @ a2191 )
      | ( c1_1 @ a2191 ) )
   <= ( ~ ( c3_1 @ a2191 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c0_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl635]) ).

thf('152',plain,
    ( ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c0_1 @ X27 ) )
    | ( c1_1 @ a2191 )
    | ( c3_1 @ a2191 )
    | ~ ( c0_1 @ a2191 ) ),
    inference(split,[status(esa)],[zip_derived_cl1234]) ).

thf('153',plain,
    ( ! [X117: $i] :
        ( ( c0_1 @ X117 )
        | ( c1_1 @ X117 )
        | ( c2_1 @ X117 ) )
    | ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
    | hskp0
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp17
    | ( c3_1 @ a2197 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl601,plain,
    ( ( c3_1 @ a2197 )
   <= ( c3_1 @ a2197 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl283_086,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1453,plain,
    ( ( ( c1_1 @ a2197 )
      | ~ ( c2_1 @ a2197 ) )
   <= ( ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
      & ( c3_1 @ a2197 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl601,zip_derived_cl283]) ).

thf('154',plain,
    ( ~ ( c2_1 @ a2197 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
    | ( c1_1 @ a2197 )
    | ~ ( c3_1 @ a2197 ) ),
    inference(split,[status(esa)],[zip_derived_cl1453]) ).

thf('155',plain,
    ( ( c1_1 @ a2174 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf('156',plain,
    ( ( c2_1 @ a2174 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl199,plain,
    ( ~ hskp0
    | ~ ( c0_1 @ a2174 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('157',plain,
    ( ~ ( c0_1 @ a2174 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl737_087,plain,
    ( ( c2_1 @ a2174 )
   <= ( c2_1 @ a2174 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl357_088,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1699,plain,
    ( ( ( c0_1 @ a2174 )
      | ~ ( c1_1 @ a2174 ) )
   <= ( ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c2_1 @ X52 ) )
      & ( c2_1 @ a2174 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl357]) ).

thf('158',plain,
    ( ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c2_1 @ X52 ) )
    | ~ ( c2_1 @ a2174 )
    | ( c0_1 @ a2174 )
    | ~ ( c1_1 @ a2174 ) ),
    inference(split,[status(esa)],[zip_derived_cl1699]) ).

thf(zip_derived_cl26,plain,
    ! [X20: $i,X21: $i] :
      ( ( c1_1 @ X20 )
      | ~ ( c0_1 @ X20 )
      | ~ ( c2_1 @ X20 )
      | ~ ndr1_0
      | ( c1_1 @ X21 )
      | ~ ( c2_1 @ X21 )
      | ~ ( c3_1 @ X21 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('159',plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 ) )
    | hskp10
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl61,plain,
    ! [X89: $i,X90: $i,X91: $i] :
      ( ( c0_1 @ X89 )
      | ( c1_1 @ X89 )
      | ~ ( c3_1 @ X89 )
      | ~ ndr1_0
      | ( c0_1 @ X90 )
      | ~ ( c1_1 @ X90 )
      | ~ ( c2_1 @ X90 )
      | ~ ndr1_0
      | ( c1_1 @ X91 )
      | ( c2_1 @ X91 )
      | ( c3_1 @ X91 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('160',plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
    | ~ ndr1_0
    | ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp10
    | ( c3_1 @ a2186 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('161',plain,
    ( ( c3_1 @ a2186 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a2186 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( ~ ( c0_1 @ a2186 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp10
    | ~ ( c1_1 @ a2186 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('163',plain,
    ( ~ ( c1_1 @ a2186 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl655,plain,
    ( ( c3_1 @ a2186 )
   <= ( c3_1 @ a2186 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl421_089,plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
   <= ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl1973,plain,
    ( ( ( c0_1 @ a2186 )
      | ( c1_1 @ a2186 ) )
   <= ( ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
      & ( c3_1 @ a2186 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl655,zip_derived_cl421]) ).

thf('164',plain,
    ( ( c0_1 @ a2186 )
    | ( c1_1 @ a2186 )
    | ~ ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
    | ~ ( c3_1 @ a2186 ) ),
    inference(split,[status(esa)],[zip_derived_cl1973]) ).

thf('165',plain,
    ( hskp27
    | ! [X54: $i] :
        ( ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c3_1 @ X54 ) )
    | ~ ndr1_0
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp27
    | ( c0_1 @ a2178 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( ( c0_1 @ a2178 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl15,plain,
    ! [X5: $i,X6: $i] :
      ( ( c3_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X6 )
      | ~ ( c2_1 @ X6 )
      | ~ ( c3_1 @ X6 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('167',plain,
    ( hskp7
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl75,plain,
    ! [X122: $i,X123: $i,X124: $i] :
      ( ( c0_1 @ X122 )
      | ( c1_1 @ X122 )
      | ( c2_1 @ X122 )
      | ~ ndr1_0
      | ( c0_1 @ X123 )
      | ( c3_1 @ X123 )
      | ~ ( c2_1 @ X123 )
      | ~ ndr1_0
      | ( c0_1 @ X124 )
      | ~ ( c2_1 @ X124 )
      | ~ ( c3_1 @ X124 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('168',plain,
    ( ! [X117: $i] :
        ( ( c0_1 @ X117 )
        | ( c1_1 @ X117 )
        | ( c2_1 @ X117 ) )
    | ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl731_090,plain,
    ( ~ ( c3_1 @ a2175 )
   <= ~ ( c3_1 @ a2175 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl246_091,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl953,plain,
    ( ( ~ ( c1_1 @ a2175 )
      | ~ ( c2_1 @ a2175 ) )
   <= ( ~ ( c3_1 @ a2175 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl246]) ).

thf('169',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c1_1 @ a2175 )
    | ~ ( c2_1 @ a2175 )
    | ( c3_1 @ a2175 ) ),
    inference(split,[status(esa)],[zip_derived_cl953]) ).

thf(zip_derived_cl375_092,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl731_093,plain,
    ( ~ ( c3_1 @ a2175 )
   <= ~ ( c3_1 @ a2175 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl1837,plain,
    ( ( ~ ( c2_1 @ a2175 )
      | ( c0_1 @ a2175 ) )
   <= ( ~ ( c3_1 @ a2175 )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl375,zip_derived_cl731]) ).

thf('170',plain,
    ( ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ( c0_1 @ a2175 )
    | ( c3_1 @ a2175 )
    | ~ ( c2_1 @ a2175 ) ),
    inference(split,[status(esa)],[zip_derived_cl1837]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp1
    | ( c2_1 @ a2175 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl727,plain,
    ( ( c2_1 @ a2175 )
   <= ( c2_1 @ a2175 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl445_094,plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c2_1 @ X97 ) )
   <= ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c2_1 @ X97 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl1997,plain,
    ( ( ( c0_1 @ a2175 )
      | ( c1_1 @ a2175 ) )
   <= ( ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c2_1 @ X97 ) )
      & ( c2_1 @ a2175 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl445]) ).

thf('171',plain,
    ( ( c1_1 @ a2175 )
    | ( c0_1 @ a2175 )
    | ~ ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c2_1 @ X97 ) )
    | ~ ( c2_1 @ a2175 ) ),
    inference(split,[status(esa)],[zip_derived_cl1997]) ).

thf('172',plain,
    ( ( c2_1 @ a2175 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp1
    | ~ ( c0_1 @ a2175 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('173',plain,
    ( ~ ( c0_1 @ a2175 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf('174',plain,
    ( ~ ( c3_1 @ a2175 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf('175',plain,
    ( hskp1
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | hskp11
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl482_095,plain,
    ( ! [X117: $i] :
        ( ( c0_1 @ X117 )
        | ( c1_1 @ X117 )
        | ( c2_1 @ X117 ) )
   <= ! [X117: $i] :
        ( ( c0_1 @ X117 )
        | ( c1_1 @ X117 )
        | ( c2_1 @ X117 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl715_096,plain,
    ( ~ ( c3_1 @ a2177 )
   <= ~ ( c3_1 @ a2177 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl246_097,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl937,plain,
    ( ( ~ ( c1_1 @ a2177 )
      | ~ ( c2_1 @ a2177 ) )
   <= ( ~ ( c3_1 @ a2177 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl715,zip_derived_cl246]) ).

thf(zip_derived_cl1159,plain,
    ( ~ ( c2_1 @ a2177 )
   <= ~ ( c2_1 @ a2177 ) ),
    inference(split,[status(esa)],[zip_derived_cl937]) ).

thf(zip_derived_cl2234,plain,
    ( ( ( c1_1 @ a2177 )
      | ( c0_1 @ a2177 ) )
   <= ( ~ ( c2_1 @ a2177 )
      & ! [X117: $i] :
          ( ( c0_1 @ X117 )
          | ( c1_1 @ X117 )
          | ( c2_1 @ X117 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl1159]) ).

thf('176',plain,
    ( ( c2_1 @ a2177 )
    | ( c1_1 @ a2177 )
    | ~ ! [X117: $i] :
          ( ( c0_1 @ X117 )
          | ( c1_1 @ X117 )
          | ( c2_1 @ X117 ) )
    | ( c0_1 @ a2177 ) ),
    inference(split,[status(esa)],[zip_derived_cl2234]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp11
    | ( c0_1 @ a2187 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('177',plain,
    ( ( c0_1 @ a2187 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp11
    | ( c2_1 @ a2187 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('178',plain,
    ( ( c2_1 @ a2187 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a2187 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('179',plain,
    ( ~ ( c1_1 @ a2187 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl649,plain,
    ( ( c2_1 @ a2187 )
   <= ( c2_1 @ a2187 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl290_098,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1524,plain,
    ( ( ( c1_1 @ a2187 )
      | ~ ( c0_1 @ a2187 ) )
   <= ( ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c2_1 @ X19 ) )
      & ( c2_1 @ a2187 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl649,zip_derived_cl290]) ).

thf('180',plain,
    ( ~ ( c2_1 @ a2187 )
    | ( c1_1 @ a2187 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c2_1 @ X19 ) )
    | ~ ( c0_1 @ a2187 ) ),
    inference(split,[status(esa)],[zip_derived_cl1524]) ).

thf(zip_derived_cl274_099,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl715_100,plain,
    ( ~ ( c3_1 @ a2177 )
   <= ~ ( c3_1 @ a2177 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl1006,plain,
    ( ( ~ ( c1_1 @ a2177 )
      | ( c2_1 @ a2177 ) )
   <= ( ~ ( c3_1 @ a2177 )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c1_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl715]) ).

thf(zip_derived_cl2154,plain,
    ( ( c2_1 @ a2177 )
   <= ( c2_1 @ a2177 ) ),
    inference(split,[status(esa)],[zip_derived_cl1006]) ).

thf(zip_derived_cl445_101,plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c2_1 @ X97 ) )
   <= ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c2_1 @ X97 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl2162,plain,
    ( ( ( c0_1 @ a2177 )
      | ( c1_1 @ a2177 ) )
   <= ( ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c2_1 @ X97 ) )
      & ( c2_1 @ a2177 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2154,zip_derived_cl445]) ).

thf('181',plain,
    ( ( c0_1 @ a2177 )
    | ~ ( c2_1 @ a2177 )
    | ~ ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c2_1 @ X97 ) )
    | ( c1_1 @ a2177 ) ),
    inference(split,[status(esa)],[zip_derived_cl2162]) ).

thf(zip_derived_cl71,plain,
    ! [X111: $i,X112: $i,X113: $i] :
      ( ( c0_1 @ X111 )
      | ( c1_1 @ X111 )
      | ( c3_1 @ X111 )
      | ~ ndr1_0
      | ( c1_1 @ X112 )
      | ( c2_1 @ X112 )
      | ( c3_1 @ X112 )
      | ~ ndr1_0
      | ( c1_1 @ X113 )
      | ~ ( c0_1 @ X113 )
      | ~ ( c2_1 @ X113 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('182',plain,
    ( ! [X107: $i] :
        ( ( c0_1 @ X107 )
        | ( c1_1 @ X107 )
        | ( c3_1 @ X107 ) )
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 ) )
    | ~ ndr1_0
    | ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl67,plain,
    ! [X102: $i,X103: $i,X104: $i] :
      ( ( c0_1 @ X102 )
      | ( c1_1 @ X102 )
      | ~ ( c2_1 @ X102 )
      | ~ ndr1_0
      | ( c0_1 @ X103 )
      | ~ ( c1_1 @ X103 )
      | ~ ( c2_1 @ X103 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X104 )
      | ~ ( c1_1 @ X104 )
      | ~ ( c3_1 @ X104 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('183',plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c2_1 @ X97 ) )
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
    | ~ ndr1_0
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl331_102,plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl611_103,plain,
    ( ~ ( c3_1 @ a2195 )
   <= ~ ( c3_1 @ a2195 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl1496,plain,
    ( ( ( c2_1 @ a2195 )
      | ( c1_1 @ a2195 ) )
   <= ( ~ ( c3_1 @ a2195 )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c2_1 @ X35 )
          | ( c3_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl331,zip_derived_cl611]) ).

thf('184',plain,
    ( ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c2_1 @ X35 )
          | ( c3_1 @ X35 ) )
    | ( c1_1 @ a2195 )
    | ( c2_1 @ a2195 )
    | ( c3_1 @ a2195 ) ),
    inference(split,[status(esa)],[zip_derived_cl1496]) ).

thf(zip_derived_cl523_104,plain,
    ( ( c3_1 @ a2178 )
   <= ( c3_1 @ a2178 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl13,plain,
    ! [X3: $i] :
      ( ~ ( c0_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ( c3_1 @ X3 )
      | ~ ndr1_0
      | hskp27
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl242,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1387,plain,
    ( ( ~ ( c0_1 @ a2178 )
      | ~ ( c1_1 @ a2178 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ( c3_1 @ a2178 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl523,zip_derived_cl242]) ).

thf('185',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c1_1 @ a2178 )
    | ~ ( c3_1 @ a2178 )
    | ~ ( c0_1 @ a2178 ) ),
    inference(split,[status(esa)],[zip_derived_cl1387]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a2195 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('186',plain,
    ( ~ ( c1_1 @ a2195 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf('187',plain,
    ( ~ ( c2_1 @ a2195 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf('188',plain,
    ( ~ ( c3_1 @ a2195 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl523_105,plain,
    ( ( c3_1 @ a2178 )
   <= ( c3_1 @ a2178 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl286_106,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1389,plain,
    ( ( ( c1_1 @ a2178 )
      | ~ ( c0_1 @ a2178 ) )
   <= ( ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c3_1 @ a2178 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl523,zip_derived_cl286]) ).

thf('189',plain,
    ( ( c1_1 @ a2178 )
    | ~ ( c3_1 @ a2178 )
    | ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ( c0_1 @ a2178 ) ),
    inference(split,[status(esa)],[zip_derived_cl1389]) ).

thf(zip_derived_cl48,plain,
    ! [X63: $i] :
      ( ( c0_1 @ X63 )
      | ( c3_1 @ X63 )
      | ~ ( c1_1 @ X63 )
      | ~ ndr1_0
      | hskp15
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('190',plain,
    ( hskp16
    | ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
    | hskp15
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl50,plain,
    ! [X66: $i,X67: $i,X68: $i] :
      ( ( c0_1 @ X66 )
      | ( c3_1 @ X66 )
      | ~ ( c1_1 @ X66 )
      | ~ ndr1_0
      | ( c0_1 @ X67 )
      | ~ ( c1_1 @ X67 )
      | ~ ( c2_1 @ X67 )
      | ~ ndr1_0
      | ( c1_1 @ X68 )
      | ~ ( c0_1 @ X68 )
      | ~ ( c3_1 @ X68 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('191',plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
    | ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
    | ~ ndr1_0
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf('192',plain,
    ( ( c1_1 @ a2176 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp2
    | ~ ( c0_1 @ a2176 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('193',plain,
    ( ~ ( c0_1 @ a2176 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf('194',plain,
    ( ~ ( c3_1 @ a2176 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl377_107,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl723_108,plain,
    ( ~ ( c3_1 @ a2176 )
   <= ~ ( c3_1 @ a2176 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl1916,plain,
    ( ( ~ ( c1_1 @ a2176 )
      | ( c0_1 @ a2176 ) )
   <= ( ~ ( c3_1 @ a2176 )
      & ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl723]) ).

thf('195',plain,
    ( ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) )
    | ( c0_1 @ a2176 )
    | ( c3_1 @ a2176 )
    | ~ ( c1_1 @ a2176 ) ),
    inference(split,[status(esa)],[zip_derived_cl1916]) ).

thf('196',plain,
    ( hskp2
    | ! [X107: $i] :
        ( ( c0_1 @ X107 )
        | ( c1_1 @ X107 )
        | ( c3_1 @ X107 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl466_109,plain,
    ( ! [X107: $i] :
        ( ( c0_1 @ X107 )
        | ( c1_1 @ X107 )
        | ( c3_1 @ X107 ) )
   <= ! [X107: $i] :
        ( ( c0_1 @ X107 )
        | ( c1_1 @ X107 )
        | ( c3_1 @ X107 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl715_110,plain,
    ( ~ ( c3_1 @ a2177 )
   <= ~ ( c3_1 @ a2177 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl2185,plain,
    ( ( ( c1_1 @ a2177 )
      | ( c0_1 @ a2177 ) )
   <= ( ~ ( c3_1 @ a2177 )
      & ! [X107: $i] :
          ( ( c0_1 @ X107 )
          | ( c1_1 @ X107 )
          | ( c3_1 @ X107 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl715]) ).

thf('197',plain,
    ( ( c0_1 @ a2177 )
    | ( c1_1 @ a2177 )
    | ~ ! [X107: $i] :
          ( ( c0_1 @ X107 )
          | ( c1_1 @ X107 )
          | ( c3_1 @ X107 ) )
    | ( c3_1 @ a2177 ) ),
    inference(split,[status(esa)],[zip_derived_cl2185]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp3
    | ~ ( c0_1 @ a2177 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('198',plain,
    ( ~ ( c0_1 @ a2177 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp3
    | ~ ( c1_1 @ a2177 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('199',plain,
    ( ~ ( c1_1 @ a2177 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf('200',plain,
    ( ~ ( c3_1 @ a2177 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf('201',plain,
    ( hskp3
    | hskp15
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl144,plain,
    ( ~ hskp13
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('202',plain,
    ( ndr1_0
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl144]) ).

thf(zip_derived_cl156,plain,
    ( ~ hskp10
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('203',plain,
    ( ndr1_0
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl156]) ).

thf(zip_derived_cl196,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('204',plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl196]) ).

thf(zip_derived_cl5,plain,
    ( hskp13
    | hskp0
    | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('205',plain,
    ( hskp0
    | hskp13
    | hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf('206',plain,
    ( ( c2_1 @ a2182 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf('207',plain,
    ( ( c3_1 @ a2182 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp7
    | ~ ( c0_1 @ a2182 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('208',plain,
    ( ~ ( c0_1 @ a2182 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl681_111,plain,
    ( ( c3_1 @ a2182 )
   <= ( c3_1 @ a2182 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl338,plain,
    ( ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1626,plain,
    ( ( ( c0_1 @ a2182 )
      | ~ ( c2_1 @ a2182 ) )
   <= ( ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
      & ( c3_1 @ a2182 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl681,zip_derived_cl338]) ).

thf('209',plain,
    ( ~ ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
    | ~ ( c3_1 @ a2182 )
    | ( c0_1 @ a2182 )
    | ~ ( c2_1 @ a2182 ) ),
    inference(split,[status(esa)],[zip_derived_cl1626]) ).

thf('210',plain,
    ( ( c3_1 @ a2194 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl617_112,plain,
    ( ( c3_1 @ a2194 )
   <= ( c3_1 @ a2194 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl286_113,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1467,plain,
    ( ( ( c1_1 @ a2194 )
      | ~ ( c0_1 @ a2194 ) )
   <= ( ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c3_1 @ a2194 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl617,zip_derived_cl286]) ).

thf('211',plain,
    ( ( c1_1 @ a2194 )
    | ~ ( c3_1 @ a2194 )
    | ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ( c0_1 @ a2194 ) ),
    inference(split,[status(esa)],[zip_derived_cl1467]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp15
    | ( c0_1 @ a2194 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('212',plain,
    ( ( c0_1 @ a2194 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf('213',plain,
    ( ~ ( c2_1 @ a2194 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl262_114,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl619_115,plain,
    ( ~ ( c2_1 @ a2194 )
   <= ~ ( c2_1 @ a2194 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl899,plain,
    ( ( ~ ( c1_1 @ a2194 )
      | ~ ( c0_1 @ a2194 ) )
   <= ( ~ ( c2_1 @ a2194 )
      & ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl619]) ).

thf('214',plain,
    ( ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
    | ~ ( c1_1 @ a2194 )
    | ~ ( c0_1 @ a2194 )
    | ( c2_1 @ a2194 ) ),
    inference(split,[status(esa)],[zip_derived_cl899]) ).

thf('215',plain,
    ( hskp17
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
    | hskp10
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf('216',plain,
    ( ( c3_1 @ a2197 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl601_116,plain,
    ( ( c3_1 @ a2197 )
   <= ( c3_1 @ a2197 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl421_117,plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
   <= ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl1976,plain,
    ( ( ( c0_1 @ a2197 )
      | ( c1_1 @ a2197 ) )
   <= ( ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
      & ( c3_1 @ a2197 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl601,zip_derived_cl421]) ).

thf('217',plain,
    ( ( c0_1 @ a2197 )
    | ~ ( c3_1 @ a2197 )
    | ~ ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
    | ( c1_1 @ a2197 ) ),
    inference(split,[status(esa)],[zip_derived_cl1976]) ).

thf(zip_derived_cl601_118,plain,
    ( ( c3_1 @ a2197 )
   <= ( c3_1 @ a2197 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl286_119,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1454,plain,
    ( ( ( c1_1 @ a2197 )
      | ~ ( c0_1 @ a2197 ) )
   <= ( ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c3_1 @ a2197 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl601,zip_derived_cl286]) ).

thf('218',plain,
    ( ~ ( c0_1 @ a2197 )
    | ~ ( c3_1 @ a2197 )
    | ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ( c1_1 @ a2197 ) ),
    inference(split,[status(esa)],[zip_derived_cl1454]) ).

thf(zip_derived_cl8562,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','207','208','209','210','211','212','213','214','215','216','217','218']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN486+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5QKwK0Tmxm true
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 19:42:38 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 6.30/1.68  % Solved by fo/fo1_av.sh.
% 6.30/1.68  % done 2321 iterations in 0.849s
% 6.30/1.68  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.30/1.68  % SZS output start Refutation
% See solution above
% 7.71/1.69  
% 7.71/1.69  
% 7.71/1.69  % Terminating...
% 7.71/1.76  % Runner terminated.
% 7.74/1.77  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------