TSTP Solution File: SYN460+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN460+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.Mq6Groce0q true

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:03:43 EDT 2023

% Result   : Theorem 44.74s 7.00s
% Output   : Refutation 44.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  124
% Syntax   : Number of formulae    : 1091 (   1 unt; 123 typ;   0 def)
%            Number of atoms       : 6304 (   0 equ;   0 cnn)
%            Maximal formula atoms :  786 (   6 avg)
%            Number of connectives : 13910 (3360   ~;3824   |; 818   &;5214   @)
%                                         (   0 <=>; 208  =>; 486  <=;   0 <~>)
%            Maximal formula depth :  128 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  124 ( 123 usr; 120 con; 0-1 aty)
%            Number of variables   : 1170 (   0   ^;1170   !;   0   ?;1170   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a2243_type,type,
    a2243: $i ).

thf(hskp2_type,type,
    hskp2: $o ).

thf(hskp32_type,type,
    hskp32: $o ).

thf(a2190_type,type,
    a2190: $i ).

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

thf(hskp38_type,type,
    hskp38: $o ).

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

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

thf(hskp54_type,type,
    hskp54: $o ).

thf(hskp35_type,type,
    hskp35: $o ).

thf(a2207_type,type,
    a2207: $i ).

thf(hskp44_type,type,
    hskp44: $o ).

thf(a2209_type,type,
    a2209: $i ).

thf(hskp48_type,type,
    hskp48: $o ).

thf(a2245_type,type,
    a2245: $i ).

thf(a2218_type,type,
    a2218: $i ).

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

thf(a2220_type,type,
    a2220: $i ).

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

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

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

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

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

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

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

thf(a2252_type,type,
    a2252: $i ).

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

thf(hskp57_type,type,
    hskp57: $o ).

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

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

thf(a2201_type,type,
    a2201: $i ).

thf(hskp45_type,type,
    hskp45: $o ).

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

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

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

thf(a2233_type,type,
    a2233: $i ).

thf(a2228_type,type,
    a2228: $i ).

thf(a2205_type,type,
    a2205: $i ).

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

thf(hskp36_type,type,
    hskp36: $o ).

thf(a2244_type,type,
    a2244: $i ).

thf(hskp42_type,type,
    hskp42: $o ).

thf(a2183_type,type,
    a2183: $i ).

thf(hskp43_type,type,
    hskp43: $o ).

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

thf(a2232_type,type,
    a2232: $i ).

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

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

thf(hskp41_type,type,
    hskp41: $o ).

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

thf(a2206_type,type,
    a2206: $i ).

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

thf(a2240_type,type,
    a2240: $i ).

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

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

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

thf(hskp49_type,type,
    hskp49: $o ).

thf(hskp40_type,type,
    hskp40: $o ).

thf(hskp46_type,type,
    hskp46: $o ).

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

thf(hskp52_type,type,
    hskp52: $o ).

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

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

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

thf(a2203_type,type,
    a2203: $i ).

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

thf(a2222_type,type,
    a2222: $i ).

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

thf(a2215_type,type,
    a2215: $i ).

thf(hskp50_type,type,
    hskp50: $o ).

thf(a2239_type,type,
    a2239: $i ).

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

thf(a2221_type,type,
    a2221: $i ).

thf(a2235_type,type,
    a2235: $i ).

thf(a2217_type,type,
    a2217: $i ).

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

thf(a2237_type,type,
    a2237: $i ).

thf(hskp55_type,type,
    hskp55: $o ).

thf(hskp58_type,type,
    hskp58: $o ).

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

thf(hskp47_type,type,
    hskp47: $o ).

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

thf(a2229_type,type,
    a2229: $i ).

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

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

thf(hskp37_type,type,
    hskp37: $o ).

thf(a2249_type,type,
    a2249: $i ).

thf(a2202_type,type,
    a2202: $i ).

thf(a2212_type,type,
    a2212: $i ).

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

thf(hskp34_type,type,
    hskp34: $o ).

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

thf(a2231_type,type,
    a2231: $i ).

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

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

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

thf(hskp39_type,type,
    hskp39: $o ).

thf(hskp33_type,type,
    hskp33: $o ).

thf(hskp53_type,type,
    hskp53: $o ).

thf(a2192_type,type,
    a2192: $i ).

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

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

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

thf(a2246_type,type,
    a2246: $i ).

thf(a2226_type,type,
    a2226: $i ).

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

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

thf(a2204_type,type,
    a2204: $i ).

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

thf(a2241_type,type,
    a2241: $i ).

thf(hskp51_type,type,
    hskp51: $o ).

thf(hskp56_type,type,
    hskp56: $o ).

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

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

thf(a2200_type,type,
    a2200: $i ).

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

thf(a2234_type,type,
    a2234: $i ).

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

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

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

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

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

thf(a2242_type,type,
    a2242: $i ).

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ~ ( c0_1 @ a2181 )
          & ~ ( c1_1 @ a2181 )
          & ~ ( c2_1 @ a2181 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c3_1 @ a2182 )
          & ~ ( c0_1 @ a2182 )
          & ~ ( c2_1 @ a2182 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c3_1 @ a2187 )
          & ( c1_1 @ a2187 )
          & ~ ( c2_1 @ a2187 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c2_1 @ a2190 )
          & ~ ( c1_1 @ a2190 )
          & ~ ( c0_1 @ a2190 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c3_1 @ a2191 )
          & ~ ( c2_1 @ a2191 )
          & ~ ( c1_1 @ a2191 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ ( c0_1 @ a2192 )
          & ( c1_1 @ a2192 )
          & ~ ( c3_1 @ a2192 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ ( c0_1 @ a2197 )
          & ~ ( c3_1 @ a2197 )
          & ~ ( c1_1 @ a2197 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c2_1 @ a2198 )
          & ( c0_1 @ a2198 )
          & ~ ( c3_1 @ a2198 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ ( c2_1 @ a2202 )
          & ~ ( c1_1 @ a2202 )
          & ~ ( c0_1 @ a2202 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ ( c1_1 @ a2203 )
          & ( c0_1 @ a2203 )
          & ~ ( c3_1 @ a2203 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ ( c2_1 @ a2206 )
          & ~ ( c0_1 @ a2206 )
          & ~ ( c3_1 @ a2206 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c0_1 @ a2209 )
          & ~ ( c1_1 @ a2209 )
          & ~ ( c2_1 @ a2209 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c2_1 @ a2211 )
          & ~ ( c1_1 @ a2211 )
          & ~ ( c3_1 @ a2211 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c0_1 @ a2212 )
          & ( c2_1 @ a2212 )
          & ~ ( c3_1 @ a2212 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ~ ( c1_1 @ a2213 )
          & ( c2_1 @ a2213 )
          & ~ ( c0_1 @ a2213 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ~ ( c3_1 @ a2217 )
          & ( c1_1 @ a2217 )
          & ~ ( c0_1 @ a2217 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ~ ( c2_1 @ a2220 )
          & ~ ( c1_1 @ a2220 )
          & ~ ( c3_1 @ a2220 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ ( c0_1 @ a2221 )
          & ( c2_1 @ a2221 )
          & ~ ( c3_1 @ a2221 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c0_1 @ a2222 )
          & ( c3_1 @ a2222 )
          & ~ ( c2_1 @ a2222 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ ( c0_1 @ a2233 )
          & ~ ( c1_1 @ a2233 )
          & ~ ( c3_1 @ a2233 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c1_1 @ a2237 )
          & ( c0_1 @ a2237 )
          & ~ ( c3_1 @ a2237 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c2_1 @ a2239 )
          & ~ ( c0_1 @ a2239 )
          & ~ ( c3_1 @ a2239 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c0_1 @ a2244 )
          & ~ ( c2_1 @ a2244 )
          & ~ ( c1_1 @ a2244 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c3_1 @ a2245 )
          & ( c0_1 @ a2245 )
          & ~ ( c1_1 @ a2245 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c1_1 @ a2246 )
          & ~ ( c0_1 @ a2246 )
          & ~ ( c3_1 @ a2246 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c3_1 @ a2249 )
          & ( c2_1 @ a2249 )
          & ~ ( c0_1 @ a2249 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ ( c3_1 @ a2178 )
          & ( c0_1 @ a2178 )
          & ( c2_1 @ a2178 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ ( c1_1 @ a2179 )
          & ~ ( c2_1 @ a2179 )
          & ( c0_1 @ a2179 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c3_1 @ a2180 )
          & ( c1_1 @ a2180 )
          & ( c2_1 @ a2180 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ~ ( c0_1 @ a2183 )
          & ( c2_1 @ a2183 )
          & ( c3_1 @ a2183 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ~ ( c3_1 @ a2184 )
          & ~ ( c1_1 @ a2184 )
          & ( c0_1 @ a2184 ) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & ( c1_1 @ a2185 )
          & ~ ( c2_1 @ a2185 )
          & ( c3_1 @ a2185 ) ) )
      & ( ~ hskp32
        | ( ndr1_0
          & ~ ( c3_1 @ a2186 )
          & ~ ( c2_1 @ a2186 )
          & ( c0_1 @ a2186 ) ) )
      & ( ~ hskp33
        | ( ndr1_0
          & ~ ( c3_1 @ a2188 )
          & ~ ( c2_1 @ a2188 )
          & ( c1_1 @ a2188 ) ) )
      & ( ~ hskp34
        | ( ndr1_0
          & ~ ( c0_1 @ a2189 )
          & ( c1_1 @ a2189 )
          & ( c3_1 @ a2189 ) ) )
      & ( ~ hskp35
        | ( ndr1_0
          & ( c2_1 @ a2193 )
          & ~ ( c0_1 @ a2193 )
          & ( c3_1 @ a2193 ) ) )
      & ( ~ hskp36
        | ( ndr1_0
          & ( c3_1 @ a2194 )
          & ~ ( c2_1 @ a2194 )
          & ( c1_1 @ a2194 ) ) )
      & ( ~ hskp37
        | ( ndr1_0
          & ( c1_1 @ a2196 )
          & ~ ( c0_1 @ a2196 )
          & ( c2_1 @ a2196 ) ) )
      & ( ~ hskp38
        | ( ndr1_0
          & ~ ( c0_1 @ a2200 )
          & ~ ( c2_1 @ a2200 )
          & ( c1_1 @ a2200 ) ) )
      & ( ~ hskp39
        | ( ndr1_0
          & ~ ( c1_1 @ a2201 )
          & ~ ( c0_1 @ a2201 )
          & ( c3_1 @ a2201 ) ) )
      & ( ~ hskp40
        | ( ndr1_0
          & ( c2_1 @ a2204 )
          & ~ ( c1_1 @ a2204 )
          & ( c3_1 @ a2204 ) ) )
      & ( ~ hskp41
        | ( ndr1_0
          & ( c2_1 @ a2205 )
          & ~ ( c0_1 @ a2205 )
          & ( c1_1 @ a2205 ) ) )
      & ( ~ hskp42
        | ( ndr1_0
          & ( c1_1 @ a2207 )
          & ~ ( c3_1 @ a2207 )
          & ( c0_1 @ a2207 ) ) )
      & ( ~ hskp43
        | ( ndr1_0
          & ~ ( c2_1 @ a2208 )
          & ( c3_1 @ a2208 )
          & ( c0_1 @ a2208 ) ) )
      & ( ~ hskp44
        | ( ndr1_0
          & ~ ( c0_1 @ a2215 )
          & ( c2_1 @ a2215 )
          & ( c1_1 @ a2215 ) ) )
      & ( ~ hskp45
        | ( ndr1_0
          & ( c2_1 @ a2216 )
          & ( c3_1 @ a2216 )
          & ( c0_1 @ a2216 ) ) )
      & ( ~ hskp46
        | ( ndr1_0
          & ( c0_1 @ a2218 )
          & ~ ( c3_1 @ a2218 )
          & ( c2_1 @ a2218 ) ) )
      & ( ~ hskp47
        | ( ndr1_0
          & ( c2_1 @ a2226 )
          & ~ ( c1_1 @ a2226 )
          & ( c0_1 @ a2226 ) ) )
      & ( ~ hskp48
        | ( ndr1_0
          & ~ ( c0_1 @ a2228 )
          & ( c3_1 @ a2228 )
          & ( c2_1 @ a2228 ) ) )
      & ( ~ hskp49
        | ( ndr1_0
          & ( c0_1 @ a2229 )
          & ~ ( c1_1 @ a2229 )
          & ( c3_1 @ a2229 ) ) )
      & ( ~ hskp50
        | ( ndr1_0
          & ~ ( c3_1 @ a2231 )
          & ( c2_1 @ a2231 )
          & ( c1_1 @ a2231 ) ) )
      & ( ~ hskp51
        | ( ndr1_0
          & ( c0_1 @ a2232 )
          & ( c3_1 @ a2232 )
          & ( c2_1 @ a2232 ) ) )
      & ( ~ hskp52
        | ( ndr1_0
          & ( c1_1 @ a2234 )
          & ( c3_1 @ a2234 )
          & ( c2_1 @ a2234 ) ) )
      & ( ~ hskp53
        | ( ndr1_0
          & ( c0_1 @ a2235 )
          & ( c2_1 @ a2235 )
          & ( c3_1 @ a2235 ) ) )
      & ( ~ hskp54
        | ( ndr1_0
          & ( c1_1 @ a2240 )
          & ( c3_1 @ a2240 )
          & ( c0_1 @ a2240 ) ) )
      & ( ~ hskp55
        | ( ndr1_0
          & ( c1_1 @ a2241 )
          & ( c0_1 @ a2241 )
          & ( c2_1 @ a2241 ) ) )
      & ( ~ hskp56
        | ( ndr1_0
          & ~ ( c1_1 @ a2242 )
          & ~ ( c3_1 @ a2242 )
          & ( c2_1 @ a2242 ) ) )
      & ( ~ hskp57
        | ( ndr1_0
          & ( c1_1 @ a2243 )
          & ( c0_1 @ a2243 )
          & ( c3_1 @ a2243 ) ) )
      & ( ~ hskp58
        | ( ndr1_0
          & ~ ( c2_1 @ a2252 )
          & ~ ( c1_1 @ a2252 )
          & ( c0_1 @ a2252 ) ) )
      & ( hskp26
        | ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ~ ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ V )
              | ~ ( c3_1 @ V )
              | ( c0_1 @ V ) ) ) )
      & ( ! [W: $i] :
            ( ndr1_0
           => ( ( c3_1 @ W )
              | ( c1_1 @ W )
              | ( c2_1 @ W ) ) )
        | hskp27
        | hskp28 )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X )
              | ~ ( c0_1 @ X )
              | ~ ( c1_1 @ X ) ) )
        | hskp0
        | ! [Y: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ Y )
              | ~ ( c2_1 @ Y )
              | ~ ( c1_1 @ Y ) ) ) )
      & ( hskp1
        | ! [Z: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ Z )
              | ( c0_1 @ Z )
              | ( c3_1 @ Z ) ) )
        | ! [X1: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c0_1 @ X1 ) ) ) )
      & ( hskp29
        | hskp30
        | hskp31 )
      & ( hskp32
        | hskp2
        | ! [X2: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c0_1 @ X2 ) ) ) )
      & ( hskp33
        | ! [X3: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X3 )
              | ( c1_1 @ X3 )
              | ~ ( c2_1 @ X3 ) ) )
        | hskp34 )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X4 )
              | ~ ( c0_1 @ X4 )
              | ~ ( c2_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X5 )
              | ~ ( c3_1 @ X5 )
              | ( c2_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X6 )
              | ( c2_1 @ X6 )
              | ( c3_1 @ X6 ) ) ) )
      & ( ! [X7: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X7 )
              | ~ ( c2_1 @ X7 )
              | ( c1_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X8 )
              | ( c1_1 @ X8 )
              | ~ ( c2_1 @ X8 ) ) )
        | hskp3 )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ~ ( c1_1 @ X9 )
              | ~ ( c2_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X10 )
              | ~ ( c1_1 @ X10 )
              | ( c3_1 @ X10 ) ) )
        | hskp4 )
      & ( hskp5
        | hskp35
        | hskp36 )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X11 )
              | ( c0_1 @ X11 )
              | ( c2_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X12 )
              | ~ ( c2_1 @ X12 )
              | ~ ( c0_1 @ X12 ) ) )
        | ! [X13: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X13 )
              | ( c3_1 @ X13 )
              | ( c2_1 @ X13 ) ) ) )
      & ( hskp34
        | hskp37
        | hskp6 )
      & ( ! [X14: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X14 )
              | ( c3_1 @ X14 )
              | ~ ( c0_1 @ X14 ) ) )
        | hskp7
        | hskp37 )
      & ( hskp38
        | ! [X15: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X15 )
              | ~ ( c1_1 @ X15 )
              | ~ ( c0_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X16 )
              | ( c1_1 @ X16 )
              | ( c0_1 @ X16 ) ) ) )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X17 )
              | ( c2_1 @ X17 )
              | ~ ( c1_1 @ X17 ) ) )
        | hskp39
        | ! [X18: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X18 )
              | ~ ( c0_1 @ X18 )
              | ~ ( c2_1 @ X18 ) ) ) )
      & ( hskp8
        | hskp9
        | ! [X19: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X19 )
              | ( c1_1 @ X19 )
              | ~ ( c0_1 @ X19 ) ) ) )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X20 )
              | ~ ( c0_1 @ X20 )
              | ( c1_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X21 )
              | ( c3_1 @ X21 )
              | ~ ( c2_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ~ ( c2_1 @ X22 )
              | ( c1_1 @ X22 ) ) ) )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X23 )
              | ( c3_1 @ X23 )
              | ~ ( c0_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X24 )
              | ( c1_1 @ X24 )
              | ( c2_1 @ X24 ) ) )
        | hskp40 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X25 )
              | ( c3_1 @ X25 )
              | ( c0_1 @ X25 ) ) )
        | hskp41
        | hskp10 )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X26 )
              | ~ ( c1_1 @ X26 )
              | ( c0_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X27 )
              | ~ ( c1_1 @ X27 )
              | ( c2_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X28 )
              | ~ ( c3_1 @ X28 )
              | ~ ( c1_1 @ X28 ) ) ) )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X29 )
              | ( c3_1 @ X29 )
              | ( c0_1 @ X29 ) ) )
        | hskp42
        | hskp43 )
      & ( hskp11
        | hskp3
        | hskp12 )
      & ( hskp13
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ( c1_1 @ X30 )
              | ~ ( c3_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X31 )
              | ( c3_1 @ X31 )
              | ( c1_1 @ X31 ) ) ) )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X32 )
              | ~ ( c2_1 @ X32 )
              | ( c0_1 @ X32 ) ) )
        | ! [X33: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X33 )
              | ~ ( c3_1 @ X33 )
              | ~ ( c2_1 @ X33 ) ) )
        | ! [X34: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X34 )
              | ( c0_1 @ X34 )
              | ~ ( c1_1 @ X34 ) ) ) )
      & ( hskp14
        | ! [X35: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X35 )
              | ( c3_1 @ X35 )
              | ( c2_1 @ X35 ) ) )
        | hskp4 )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c3_1 @ X36 )
              | ~ ( c2_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X37 )
              | ( c0_1 @ X37 )
              | ~ ( c2_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X38 )
              | ( c1_1 @ X38 )
              | ~ ( c3_1 @ X38 ) ) ) )
      & ( hskp44
        | ! [X39: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X39 )
              | ( c2_1 @ X39 )
              | ~ ( c0_1 @ X39 ) ) )
        | ! [X40: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X40 )
              | ~ ( c3_1 @ X40 )
              | ~ ( c0_1 @ X40 ) ) ) )
      & ( hskp45
        | hskp15
        | ! [X41: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X41 )
              | ~ ( c2_1 @ X41 )
              | ( c1_1 @ X41 ) ) ) )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X42 )
              | ( c1_1 @ X42 )
              | ~ ( c3_1 @ X42 ) ) )
        | hskp46
        | hskp34 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X43 )
              | ( c2_1 @ X43 )
              | ~ ( c0_1 @ X43 ) ) )
        | ! [X44: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X44 )
              | ( c2_1 @ X44 )
              | ( c0_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X45 )
              | ( c2_1 @ X45 )
              | ( c3_1 @ X45 ) ) ) )
      & ( hskp16
        | hskp17
        | ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ~ ( c2_1 @ X46 )
              | ( c1_1 @ X46 ) ) ) )
      & ( hskp18
        | ! [X47: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X47 )
              | ~ ( c2_1 @ X47 )
              | ( c3_1 @ X47 ) ) )
        | hskp31 )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X48 )
              | ~ ( c3_1 @ X48 )
              | ~ ( c2_1 @ X48 ) ) )
        | hskp33
        | ! [X49: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X49 )
              | ~ ( c1_1 @ X49 )
              | ( c0_1 @ X49 ) ) ) )
      & ( ! [X50: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X50 )
              | ~ ( c0_1 @ X50 )
              | ( c3_1 @ X50 ) ) )
        | hskp33
        | ! [X51: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X51 )
              | ~ ( c1_1 @ X51 )
              | ( c0_1 @ X51 ) ) ) )
      & ( hskp47
        | ! [X52: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X52 )
              | ( c0_1 @ X52 )
              | ( c2_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X53 )
              | ( c2_1 @ X53 )
              | ( c3_1 @ X53 ) ) ) )
      & ( hskp18
        | ! [X54: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X54 )
              | ( c3_1 @ X54 )
              | ( c2_1 @ X54 ) ) )
        | ! [X55: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X55 )
              | ~ ( c1_1 @ X55 )
              | ( c2_1 @ X55 ) ) ) )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X56 )
              | ~ ( c3_1 @ X56 )
              | ( c0_1 @ X56 ) ) )
        | ! [X57: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X57 )
              | ( c0_1 @ X57 )
              | ~ ( c1_1 @ X57 ) ) )
        | hskp48 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X58 )
              | ( c1_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | hskp49
        | hskp31 )
      & ( hskp50
        | hskp51
        | ! [X59: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X59 )
              | ( c0_1 @ X59 )
              | ~ ( c2_1 @ X59 ) ) ) )
      & ( ! [X60: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X60 )
              | ~ ( c1_1 @ X60 )
              | ( c0_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X61 )
              | ( c0_1 @ X61 )
              | ~ ( c2_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X62 )
              | ( c3_1 @ X62 )
              | ~ ( c0_1 @ X62 ) ) ) )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X63 )
              | ~ ( c2_1 @ X63 )
              | ( c0_1 @ X63 ) ) )
        | hskp19
        | hskp52 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X64 )
              | ( c3_1 @ X64 )
              | ( c1_1 @ X64 ) ) )
        | hskp53
        | ! [X65: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X65 )
              | ( c2_1 @ X65 )
              | ( c1_1 @ X65 ) ) ) )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X66 )
              | ~ ( c0_1 @ X66 )
              | ( c3_1 @ X66 ) ) )
        | hskp10
        | ! [X67: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X67 )
              | ~ ( c3_1 @ X67 )
              | ( c1_1 @ X67 ) ) ) )
      & ( hskp20
        | ! [X68: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X68 )
              | ~ ( c3_1 @ X68 )
              | ~ ( c2_1 @ X68 ) ) )
        | ! [X69: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X69 )
              | ( c1_1 @ X69 )
              | ~ ( c0_1 @ X69 ) ) ) )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X70 )
              | ( c2_1 @ X70 )
              | ~ ( c1_1 @ X70 ) ) )
        | ! [X71: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X71 )
              | ( c2_1 @ X71 )
              | ~ ( c0_1 @ X71 ) ) )
        | hskp10 )
      & ( hskp21
        | hskp54
        | hskp55 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ~ ( c0_1 @ X72 )
              | ( c2_1 @ X72 ) ) )
        | hskp56
        | ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ~ ( c0_1 @ X73 )
              | ~ ( c2_1 @ X73 ) ) ) )
      & ( hskp57
        | ! [X74: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X74 )
              | ( c0_1 @ X74 )
              | ( c3_1 @ X74 ) ) )
        | hskp22 )
      & ( hskp23
        | hskp24
        | ! [X75: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X75 )
              | ~ ( c3_1 @ X75 )
              | ( c1_1 @ X75 ) ) ) )
      & ( hskp17
        | ! [X76: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X76 )
              | ( c3_1 @ X76 )
              | ~ ( c1_1 @ X76 ) ) ) )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X77 )
              | ( c0_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X78 )
              | ( c2_1 @ X78 )
              | ~ ( c1_1 @ X78 ) ) )
        | ! [X79: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X79 )
              | ~ ( c0_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) ) )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X80 )
              | ( c2_1 @ X80 )
              | ( c3_1 @ X80 ) ) )
        | ! [X81: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X81 )
              | ( c1_1 @ X81 )
              | ( c3_1 @ X81 ) ) )
        | ! [X82: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X82 )
              | ~ ( c0_1 @ X82 )
              | ~ ( c3_1 @ X82 ) ) ) )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X83 )
              | ~ ( c2_1 @ X83 )
              | ( c1_1 @ X83 ) ) )
        | ! [X84: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X84 )
              | ~ ( c3_1 @ X84 )
              | ~ ( c2_1 @ X84 ) ) )
        | ! [X85: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X85 )
              | ~ ( c0_1 @ X85 )
              | ( c1_1 @ X85 ) ) ) )
      & ( hskp32
        | ! [X86: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X86 )
              | ( c1_1 @ X86 )
              | ( c2_1 @ X86 ) ) )
        | ! [X87: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X87 )
              | ( c1_1 @ X87 )
              | ~ ( c3_1 @ X87 ) ) ) )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X88 )
              | ~ ( c3_1 @ X88 )
              | ~ ( c2_1 @ X88 ) ) )
        | ! [X89: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X89 )
              | ( c0_1 @ X89 )
              | ( c2_1 @ X89 ) ) )
        | hskp25 )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X90 )
              | ( c0_1 @ X90 )
              | ~ ( c2_1 @ X90 ) ) )
        | hskp56
        | ! [X91: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X91 )
              | ~ ( c2_1 @ X91 )
              | ~ ( c0_1 @ X91 ) ) ) )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X92 )
              | ( c2_1 @ X92 )
              | ~ ( c0_1 @ X92 ) ) )
        | ! [X93: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X93 )
              | ( c0_1 @ X93 )
              | ( c1_1 @ X93 ) ) )
        | ! [X94: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X94 )
              | ~ ( c0_1 @ X94 )
              | ~ ( c2_1 @ X94 ) ) ) )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X95 )
              | ~ ( c3_1 @ X95 )
              | ~ ( c0_1 @ X95 ) ) )
        | ! [X96: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X96 )
              | ~ ( c2_1 @ X96 )
              | ( c0_1 @ X96 ) ) )
        | hskp40 )
      & ( hskp58
        | ! [X97: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X97 )
              | ( c2_1 @ X97 )
              | ( c1_1 @ X97 ) ) )
        | ! [X98: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X98 )
              | ( c1_1 @ X98 )
              | ( c2_1 @ X98 ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ ( c0_1 @ a2181 )
        & ~ ( c1_1 @ a2181 )
        & ~ ( c2_1 @ a2181 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c3_1 @ a2182 )
        & ~ ( c0_1 @ a2182 )
        & ~ ( c2_1 @ a2182 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c3_1 @ a2187 )
        & ( c1_1 @ a2187 )
        & ~ ( c2_1 @ a2187 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c2_1 @ a2190 )
        & ~ ( c1_1 @ a2190 )
        & ~ ( c0_1 @ a2190 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c3_1 @ a2191 )
        & ~ ( c2_1 @ a2191 )
        & ~ ( c1_1 @ a2191 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ ( c0_1 @ a2192 )
        & ( c1_1 @ a2192 )
        & ~ ( c3_1 @ a2192 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ ( c0_1 @ a2197 )
        & ~ ( c3_1 @ a2197 )
        & ~ ( c1_1 @ a2197 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c2_1 @ a2198 )
        & ( c0_1 @ a2198 )
        & ~ ( c3_1 @ a2198 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ ( c2_1 @ a2202 )
        & ~ ( c1_1 @ a2202 )
        & ~ ( c0_1 @ a2202 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ ( c1_1 @ a2203 )
        & ( c0_1 @ a2203 )
        & ~ ( c3_1 @ a2203 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ ( c2_1 @ a2206 )
        & ~ ( c0_1 @ a2206 )
        & ~ ( c3_1 @ a2206 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c0_1 @ a2209 )
        & ~ ( c1_1 @ a2209 )
        & ~ ( c2_1 @ a2209 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c2_1 @ a2211 )
        & ~ ( c1_1 @ a2211 )
        & ~ ( c3_1 @ a2211 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c0_1 @ a2212 )
        & ( c2_1 @ a2212 )
        & ~ ( c3_1 @ a2212 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ ( c1_1 @ a2213 )
        & ( c2_1 @ a2213 )
        & ~ ( c0_1 @ a2213 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ ( c3_1 @ a2217 )
        & ( c1_1 @ a2217 )
        & ~ ( c0_1 @ a2217 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ ( c2_1 @ a2220 )
        & ~ ( c1_1 @ a2220 )
        & ~ ( c3_1 @ a2220 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ ( c0_1 @ a2221 )
        & ( c2_1 @ a2221 )
        & ~ ( c3_1 @ a2221 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c0_1 @ a2222 )
        & ( c3_1 @ a2222 )
        & ~ ( c2_1 @ a2222 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ ( c0_1 @ a2233 )
        & ~ ( c1_1 @ a2233 )
        & ~ ( c3_1 @ a2233 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c1_1 @ a2237 )
        & ( c0_1 @ a2237 )
        & ~ ( c3_1 @ a2237 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c2_1 @ a2239 )
        & ~ ( c0_1 @ a2239 )
        & ~ ( c3_1 @ a2239 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c0_1 @ a2244 )
        & ~ ( c2_1 @ a2244 )
        & ~ ( c1_1 @ a2244 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c3_1 @ a2245 )
        & ( c0_1 @ a2245 )
        & ~ ( c1_1 @ a2245 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c1_1 @ a2246 )
        & ~ ( c0_1 @ a2246 )
        & ~ ( c3_1 @ a2246 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c3_1 @ a2249 )
        & ( c2_1 @ a2249 )
        & ~ ( c0_1 @ a2249 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ ( c3_1 @ a2178 )
        & ( c0_1 @ a2178 )
        & ( c2_1 @ a2178 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ ( c1_1 @ a2179 )
        & ~ ( c2_1 @ a2179 )
        & ( c0_1 @ a2179 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c3_1 @ a2180 )
        & ( c1_1 @ a2180 )
        & ( c2_1 @ a2180 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ~ ( c0_1 @ a2183 )
        & ( c2_1 @ a2183 )
        & ( c3_1 @ a2183 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ~ ( c3_1 @ a2184 )
        & ~ ( c1_1 @ a2184 )
        & ( c0_1 @ a2184 ) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ( c1_1 @ a2185 )
        & ~ ( c2_1 @ a2185 )
        & ( c3_1 @ a2185 ) ) )
    & ( ~ hskp32
      | ( ndr1_0
        & ~ ( c3_1 @ a2186 )
        & ~ ( c2_1 @ a2186 )
        & ( c0_1 @ a2186 ) ) )
    & ( ~ hskp33
      | ( ndr1_0
        & ~ ( c3_1 @ a2188 )
        & ~ ( c2_1 @ a2188 )
        & ( c1_1 @ a2188 ) ) )
    & ( ~ hskp34
      | ( ndr1_0
        & ~ ( c0_1 @ a2189 )
        & ( c1_1 @ a2189 )
        & ( c3_1 @ a2189 ) ) )
    & ( ~ hskp35
      | ( ndr1_0
        & ( c2_1 @ a2193 )
        & ~ ( c0_1 @ a2193 )
        & ( c3_1 @ a2193 ) ) )
    & ( ~ hskp36
      | ( ndr1_0
        & ( c3_1 @ a2194 )
        & ~ ( c2_1 @ a2194 )
        & ( c1_1 @ a2194 ) ) )
    & ( ~ hskp37
      | ( ndr1_0
        & ( c1_1 @ a2196 )
        & ~ ( c0_1 @ a2196 )
        & ( c2_1 @ a2196 ) ) )
    & ( ~ hskp38
      | ( ndr1_0
        & ~ ( c0_1 @ a2200 )
        & ~ ( c2_1 @ a2200 )
        & ( c1_1 @ a2200 ) ) )
    & ( ~ hskp39
      | ( ndr1_0
        & ~ ( c1_1 @ a2201 )
        & ~ ( c0_1 @ a2201 )
        & ( c3_1 @ a2201 ) ) )
    & ( ~ hskp40
      | ( ndr1_0
        & ( c2_1 @ a2204 )
        & ~ ( c1_1 @ a2204 )
        & ( c3_1 @ a2204 ) ) )
    & ( ~ hskp41
      | ( ndr1_0
        & ( c2_1 @ a2205 )
        & ~ ( c0_1 @ a2205 )
        & ( c1_1 @ a2205 ) ) )
    & ( ~ hskp42
      | ( ndr1_0
        & ( c1_1 @ a2207 )
        & ~ ( c3_1 @ a2207 )
        & ( c0_1 @ a2207 ) ) )
    & ( ~ hskp43
      | ( ndr1_0
        & ~ ( c2_1 @ a2208 )
        & ( c3_1 @ a2208 )
        & ( c0_1 @ a2208 ) ) )
    & ( ~ hskp44
      | ( ndr1_0
        & ~ ( c0_1 @ a2215 )
        & ( c2_1 @ a2215 )
        & ( c1_1 @ a2215 ) ) )
    & ( ~ hskp45
      | ( ndr1_0
        & ( c2_1 @ a2216 )
        & ( c3_1 @ a2216 )
        & ( c0_1 @ a2216 ) ) )
    & ( ~ hskp46
      | ( ndr1_0
        & ( c0_1 @ a2218 )
        & ~ ( c3_1 @ a2218 )
        & ( c2_1 @ a2218 ) ) )
    & ( ~ hskp47
      | ( ndr1_0
        & ( c2_1 @ a2226 )
        & ~ ( c1_1 @ a2226 )
        & ( c0_1 @ a2226 ) ) )
    & ( ~ hskp48
      | ( ndr1_0
        & ~ ( c0_1 @ a2228 )
        & ( c3_1 @ a2228 )
        & ( c2_1 @ a2228 ) ) )
    & ( ~ hskp49
      | ( ndr1_0
        & ( c0_1 @ a2229 )
        & ~ ( c1_1 @ a2229 )
        & ( c3_1 @ a2229 ) ) )
    & ( ~ hskp50
      | ( ndr1_0
        & ~ ( c3_1 @ a2231 )
        & ( c2_1 @ a2231 )
        & ( c1_1 @ a2231 ) ) )
    & ( ~ hskp51
      | ( ndr1_0
        & ( c0_1 @ a2232 )
        & ( c3_1 @ a2232 )
        & ( c2_1 @ a2232 ) ) )
    & ( ~ hskp52
      | ( ndr1_0
        & ( c1_1 @ a2234 )
        & ( c3_1 @ a2234 )
        & ( c2_1 @ a2234 ) ) )
    & ( ~ hskp53
      | ( ndr1_0
        & ( c0_1 @ a2235 )
        & ( c2_1 @ a2235 )
        & ( c3_1 @ a2235 ) ) )
    & ( ~ hskp54
      | ( ndr1_0
        & ( c1_1 @ a2240 )
        & ( c3_1 @ a2240 )
        & ( c0_1 @ a2240 ) ) )
    & ( ~ hskp55
      | ( ndr1_0
        & ( c1_1 @ a2241 )
        & ( c0_1 @ a2241 )
        & ( c2_1 @ a2241 ) ) )
    & ( ~ hskp56
      | ( ndr1_0
        & ~ ( c1_1 @ a2242 )
        & ~ ( c3_1 @ a2242 )
        & ( c2_1 @ a2242 ) ) )
    & ( ~ hskp57
      | ( ndr1_0
        & ( c1_1 @ a2243 )
        & ( c0_1 @ a2243 )
        & ( c3_1 @ a2243 ) ) )
    & ( ~ hskp58
      | ( ndr1_0
        & ~ ( c2_1 @ a2252 )
        & ~ ( c1_1 @ a2252 )
        & ( c0_1 @ a2252 ) ) )
    & ( hskp26
      | ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ~ ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ V )
            | ~ ( c3_1 @ V )
            | ( c0_1 @ V ) ) ) )
    & ( ! [W: $i] :
          ( ndr1_0
         => ( ( c3_1 @ W )
            | ( c1_1 @ W )
            | ( c2_1 @ W ) ) )
      | hskp27
      | hskp28 )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X )
            | ~ ( c0_1 @ X )
            | ~ ( c1_1 @ X ) ) )
      | hskp0
      | ! [Y: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ Y )
            | ~ ( c2_1 @ Y )
            | ~ ( c1_1 @ Y ) ) ) )
    & ( hskp1
      | ! [Z: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ Z )
            | ( c0_1 @ Z )
            | ( c3_1 @ Z ) ) )
      | ! [X1: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c0_1 @ X1 ) ) ) )
    & ( hskp29
      | hskp30
      | hskp31 )
    & ( hskp32
      | hskp2
      | ! [X2: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c0_1 @ X2 ) ) ) )
    & ( hskp33
      | ! [X3: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X3 )
            | ( c1_1 @ X3 )
            | ~ ( c2_1 @ X3 ) ) )
      | hskp34 )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X4 )
            | ~ ( c0_1 @ X4 )
            | ~ ( c2_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X5 )
            | ~ ( c3_1 @ X5 )
            | ( c2_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X6 )
            | ( c2_1 @ X6 )
            | ( c3_1 @ X6 ) ) ) )
    & ( ! [X7: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X7 )
            | ~ ( c2_1 @ X7 )
            | ( c1_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X8 )
            | ( c1_1 @ X8 )
            | ~ ( c2_1 @ X8 ) ) )
      | hskp3 )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ~ ( c1_1 @ X9 )
            | ~ ( c2_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X10 )
            | ~ ( c1_1 @ X10 )
            | ( c3_1 @ X10 ) ) )
      | hskp4 )
    & ( hskp5
      | hskp35
      | hskp36 )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X11 )
            | ( c0_1 @ X11 )
            | ( c2_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X12 )
            | ~ ( c2_1 @ X12 )
            | ~ ( c0_1 @ X12 ) ) )
      | ! [X13: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X13 )
            | ( c3_1 @ X13 )
            | ( c2_1 @ X13 ) ) ) )
    & ( hskp34
      | hskp37
      | hskp6 )
    & ( ! [X14: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X14 )
            | ( c3_1 @ X14 )
            | ~ ( c0_1 @ X14 ) ) )
      | hskp7
      | hskp37 )
    & ( hskp38
      | ! [X15: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X15 )
            | ~ ( c1_1 @ X15 )
            | ~ ( c0_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X16 )
            | ( c1_1 @ X16 )
            | ( c0_1 @ X16 ) ) ) )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X17 )
            | ( c2_1 @ X17 )
            | ~ ( c1_1 @ X17 ) ) )
      | hskp39
      | ! [X18: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X18 )
            | ~ ( c0_1 @ X18 )
            | ~ ( c2_1 @ X18 ) ) ) )
    & ( hskp8
      | hskp9
      | ! [X19: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X19 )
            | ( c1_1 @ X19 )
            | ~ ( c0_1 @ X19 ) ) ) )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X20 )
            | ~ ( c0_1 @ X20 )
            | ( c1_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X21 )
            | ( c3_1 @ X21 )
            | ~ ( c2_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ~ ( c2_1 @ X22 )
            | ( c1_1 @ X22 ) ) ) )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X23 )
            | ( c3_1 @ X23 )
            | ~ ( c0_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X24 )
            | ( c1_1 @ X24 )
            | ( c2_1 @ X24 ) ) )
      | hskp40 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X25 )
            | ( c3_1 @ X25 )
            | ( c0_1 @ X25 ) ) )
      | hskp41
      | hskp10 )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X26 )
            | ~ ( c1_1 @ X26 )
            | ( c0_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X27 )
            | ~ ( c1_1 @ X27 )
            | ( c2_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X28 )
            | ~ ( c3_1 @ X28 )
            | ~ ( c1_1 @ X28 ) ) ) )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X29 )
            | ( c3_1 @ X29 )
            | ( c0_1 @ X29 ) ) )
      | hskp42
      | hskp43 )
    & ( hskp11
      | hskp3
      | hskp12 )
    & ( hskp13
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ( c1_1 @ X30 )
            | ~ ( c3_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X31 )
            | ( c3_1 @ X31 )
            | ( c1_1 @ X31 ) ) ) )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X32 )
            | ~ ( c2_1 @ X32 )
            | ( c0_1 @ X32 ) ) )
      | ! [X33: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X33 )
            | ~ ( c3_1 @ X33 )
            | ~ ( c2_1 @ X33 ) ) )
      | ! [X34: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X34 )
            | ( c0_1 @ X34 )
            | ~ ( c1_1 @ X34 ) ) ) )
    & ( hskp14
      | ! [X35: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X35 )
            | ( c3_1 @ X35 )
            | ( c2_1 @ X35 ) ) )
      | hskp4 )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c3_1 @ X36 )
            | ~ ( c2_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X37 )
            | ( c0_1 @ X37 )
            | ~ ( c2_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X38 )
            | ( c1_1 @ X38 )
            | ~ ( c3_1 @ X38 ) ) ) )
    & ( hskp44
      | ! [X39: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X39 )
            | ( c2_1 @ X39 )
            | ~ ( c0_1 @ X39 ) ) )
      | ! [X40: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X40 )
            | ~ ( c3_1 @ X40 )
            | ~ ( c0_1 @ X40 ) ) ) )
    & ( hskp45
      | hskp15
      | ! [X41: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X41 )
            | ~ ( c2_1 @ X41 )
            | ( c1_1 @ X41 ) ) ) )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X42 )
            | ( c1_1 @ X42 )
            | ~ ( c3_1 @ X42 ) ) )
      | hskp46
      | hskp34 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X43 )
            | ( c2_1 @ X43 )
            | ~ ( c0_1 @ X43 ) ) )
      | ! [X44: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X44 )
            | ( c2_1 @ X44 )
            | ( c0_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X45 )
            | ( c2_1 @ X45 )
            | ( c3_1 @ X45 ) ) ) )
    & ( hskp16
      | hskp17
      | ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ~ ( c2_1 @ X46 )
            | ( c1_1 @ X46 ) ) ) )
    & ( hskp18
      | ! [X47: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X47 )
            | ~ ( c2_1 @ X47 )
            | ( c3_1 @ X47 ) ) )
      | hskp31 )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X48 )
            | ~ ( c3_1 @ X48 )
            | ~ ( c2_1 @ X48 ) ) )
      | hskp33
      | ! [X49: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X49 )
            | ~ ( c1_1 @ X49 )
            | ( c0_1 @ X49 ) ) ) )
    & ( ! [X50: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X50 )
            | ~ ( c0_1 @ X50 )
            | ( c3_1 @ X50 ) ) )
      | hskp33
      | ! [X51: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X51 )
            | ~ ( c1_1 @ X51 )
            | ( c0_1 @ X51 ) ) ) )
    & ( hskp47
      | ! [X52: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X52 )
            | ( c0_1 @ X52 )
            | ( c2_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X53 )
            | ( c2_1 @ X53 )
            | ( c3_1 @ X53 ) ) ) )
    & ( hskp18
      | ! [X54: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X54 )
            | ( c3_1 @ X54 )
            | ( c2_1 @ X54 ) ) )
      | ! [X55: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X55 )
            | ~ ( c1_1 @ X55 )
            | ( c2_1 @ X55 ) ) ) )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X56 )
            | ~ ( c3_1 @ X56 )
            | ( c0_1 @ X56 ) ) )
      | ! [X57: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X57 )
            | ( c0_1 @ X57 )
            | ~ ( c1_1 @ X57 ) ) )
      | hskp48 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X58 )
            | ( c1_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | hskp49
      | hskp31 )
    & ( hskp50
      | hskp51
      | ! [X59: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X59 )
            | ( c0_1 @ X59 )
            | ~ ( c2_1 @ X59 ) ) ) )
    & ( ! [X60: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X60 )
            | ~ ( c1_1 @ X60 )
            | ( c0_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X61 )
            | ( c0_1 @ X61 )
            | ~ ( c2_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X62 )
            | ( c3_1 @ X62 )
            | ~ ( c0_1 @ X62 ) ) ) )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X63 )
            | ~ ( c2_1 @ X63 )
            | ( c0_1 @ X63 ) ) )
      | hskp19
      | hskp52 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X64 )
            | ( c3_1 @ X64 )
            | ( c1_1 @ X64 ) ) )
      | hskp53
      | ! [X65: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X65 )
            | ( c2_1 @ X65 )
            | ( c1_1 @ X65 ) ) ) )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X66 )
            | ~ ( c0_1 @ X66 )
            | ( c3_1 @ X66 ) ) )
      | hskp10
      | ! [X67: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X67 )
            | ~ ( c3_1 @ X67 )
            | ( c1_1 @ X67 ) ) ) )
    & ( hskp20
      | ! [X68: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X68 )
            | ~ ( c3_1 @ X68 )
            | ~ ( c2_1 @ X68 ) ) )
      | ! [X69: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X69 )
            | ( c1_1 @ X69 )
            | ~ ( c0_1 @ X69 ) ) ) )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X70 )
            | ( c2_1 @ X70 )
            | ~ ( c1_1 @ X70 ) ) )
      | ! [X71: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X71 )
            | ( c2_1 @ X71 )
            | ~ ( c0_1 @ X71 ) ) )
      | hskp10 )
    & ( hskp21
      | hskp54
      | hskp55 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ~ ( c0_1 @ X72 )
            | ( c2_1 @ X72 ) ) )
      | hskp56
      | ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ~ ( c0_1 @ X73 )
            | ~ ( c2_1 @ X73 ) ) ) )
    & ( hskp57
      | ! [X74: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X74 )
            | ( c0_1 @ X74 )
            | ( c3_1 @ X74 ) ) )
      | hskp22 )
    & ( hskp23
      | hskp24
      | ! [X75: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X75 )
            | ~ ( c3_1 @ X75 )
            | ( c1_1 @ X75 ) ) ) )
    & ( hskp17
      | ! [X76: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X76 )
            | ( c3_1 @ X76 )
            | ~ ( c1_1 @ X76 ) ) ) )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X77 )
            | ( c0_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X78 )
            | ( c2_1 @ X78 )
            | ~ ( c1_1 @ X78 ) ) )
      | ! [X79: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X79 )
            | ~ ( c0_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) ) )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X80 )
            | ( c2_1 @ X80 )
            | ( c3_1 @ X80 ) ) )
      | ! [X81: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X81 )
            | ( c1_1 @ X81 )
            | ( c3_1 @ X81 ) ) )
      | ! [X82: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X82 )
            | ~ ( c0_1 @ X82 )
            | ~ ( c3_1 @ X82 ) ) ) )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X83 )
            | ~ ( c2_1 @ X83 )
            | ( c1_1 @ X83 ) ) )
      | ! [X84: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X84 )
            | ~ ( c3_1 @ X84 )
            | ~ ( c2_1 @ X84 ) ) )
      | ! [X85: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X85 )
            | ~ ( c0_1 @ X85 )
            | ( c1_1 @ X85 ) ) ) )
    & ( hskp32
      | ! [X86: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X86 )
            | ( c1_1 @ X86 )
            | ( c2_1 @ X86 ) ) )
      | ! [X87: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X87 )
            | ( c1_1 @ X87 )
            | ~ ( c3_1 @ X87 ) ) ) )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X88 )
            | ~ ( c3_1 @ X88 )
            | ~ ( c2_1 @ X88 ) ) )
      | ! [X89: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X89 )
            | ( c0_1 @ X89 )
            | ( c2_1 @ X89 ) ) )
      | hskp25 )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X90 )
            | ( c0_1 @ X90 )
            | ~ ( c2_1 @ X90 ) ) )
      | hskp56
      | ! [X91: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X91 )
            | ~ ( c2_1 @ X91 )
            | ~ ( c0_1 @ X91 ) ) ) )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X92 )
            | ( c2_1 @ X92 )
            | ~ ( c0_1 @ X92 ) ) )
      | ! [X93: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X93 )
            | ( c0_1 @ X93 )
            | ( c1_1 @ X93 ) ) )
      | ! [X94: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X94 )
            | ~ ( c0_1 @ X94 )
            | ~ ( c2_1 @ X94 ) ) ) )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X95 )
            | ~ ( c3_1 @ X95 )
            | ~ ( c0_1 @ X95 ) ) )
      | ! [X96: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X96 )
            | ~ ( c2_1 @ X96 )
            | ( c0_1 @ X96 ) ) )
      | hskp40 )
    & ( hskp58
      | ! [X97: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X97 )
            | ( c2_1 @ X97 )
            | ( c1_1 @ X97 ) ) )
      | ! [X98: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X98 )
            | ( c1_1 @ X98 )
            | ( c2_1 @ X98 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl51,plain,
    ! [X90: $i,X91: $i] :
      ( ~ ( c3_1 @ X90 )
      | ~ ( c2_1 @ X90 )
      | ( c1_1 @ X90 )
      | ~ ndr1_0
      | ( c3_1 @ X91 )
      | ( c1_1 @ X91 )
      | ~ ( c2_1 @ X91 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl495,plain,
    ( ! [X91: $i] :
        ( ( c3_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c2_1 @ X91 ) )
   <= ! [X91: $i] :
        ( ( c3_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c2_1 @ X91 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl44,plain,
    ! [X80: $i,X81: $i] :
      ( ~ ( c0_1 @ X80 )
      | ( c2_1 @ X80 )
      | ~ ( c1_1 @ X80 )
      | ~ ndr1_0
      | hskp39
      | ~ ( c1_1 @ X81 )
      | ~ ( c0_1 @ X81 )
      | ~ ( c2_1 @ X81 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl469,plain,
    ( ! [X81: $i] :
        ( ~ ( c1_1 @ X81 )
        | ~ ( c0_1 @ X81 )
        | ~ ( c2_1 @ X81 ) )
   <= ! [X81: $i] :
        ( ~ ( c1_1 @ X81 )
        | ~ ( c0_1 @ X81 )
        | ~ ( c2_1 @ X81 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl2953,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) )
      & ! [X91: $i] :
          ( ( c3_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c2_1 @ X91 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl469]) ).

thf(zip_derived_cl3002,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) )
      & ! [X91: $i] :
          ( ( c3_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c2_1 @ X91 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2953]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp46
    | ~ ( c3_1 @ a2218 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl630,plain,
    ( ~ ( c3_1 @ a2218 )
   <= ~ ( c3_1 @ a2218 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl14701,plain,
    ( ( ~ ( c2_1 @ a2218 )
      | ~ ( c0_1 @ a2218 ) )
   <= ( ~ ( c3_1 @ a2218 )
      & ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) )
      & ! [X91: $i] :
          ( ( c3_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c2_1 @ X91 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3002,zip_derived_cl630]) ).

thf('0',plain,
    ( ~ ! [X91: $i] :
          ( ( c3_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c2_1 @ X91 ) )
    | ~ ( c0_1 @ a2218 )
    | ~ ( c2_1 @ a2218 )
    | ~ ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) )
    | ( c3_1 @ a2218 ) ),
    inference(split,[status(esa)],[zip_derived_cl14701]) ).

thf(zip_derived_cl15,plain,
    ! [X29: $i,X30: $i] :
      ( hskp20
      | ~ ( c1_1 @ X29 )
      | ~ ( c3_1 @ X29 )
      | ~ ( c2_1 @ X29 )
      | ~ ndr1_0
      | ( c3_1 @ X30 )
      | ( c1_1 @ X30 )
      | ~ ( c0_1 @ X30 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl354,plain,
    ( ! [X30: $i] :
        ( ( c3_1 @ X30 )
        | ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c3_1 @ X30 )
        | ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl469_001,plain,
    ( ! [X81: $i] :
        ( ~ ( c1_1 @ X81 )
        | ~ ( c0_1 @ X81 )
        | ~ ( c2_1 @ X81 ) )
   <= ! [X81: $i] :
        ( ~ ( c1_1 @ X81 )
        | ~ ( c0_1 @ X81 )
        | ~ ( c2_1 @ X81 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl2840,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
      & ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl469]) ).

thf(zip_derived_cl2847,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
      & ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2840]) ).

thf(zip_derived_cl630_002,plain,
    ( ~ ( c3_1 @ a2218 )
   <= ~ ( c3_1 @ a2218 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl14344,plain,
    ( ( ~ ( c0_1 @ a2218 )
      | ~ ( c2_1 @ a2218 ) )
   <= ( ~ ( c3_1 @ a2218 )
      & ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
      & ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2847,zip_derived_cl630]) ).

thf('1',plain,
    ( ~ ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ( c3_1 @ a2218 )
    | ~ ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) )
    | ~ ( c2_1 @ a2218 )
    | ~ ( c0_1 @ a2218 ) ),
    inference(split,[status(esa)],[zip_derived_cl14344]) ).

thf(zip_derived_cl289,plain,
    ( ~ hskp1
    | ( c3_1 @ a2182 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl988,plain,
    ( ( c3_1 @ a2182 )
   <= ( c3_1 @ a2182 ) ),
    inference(split,[status(esa)],[zip_derived_cl289]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( hskp58
      | ~ ( c3_1 @ X0 )
      | ( c2_1 @ X0 )
      | ( c1_1 @ X0 )
      | ~ ndr1_0
      | ~ ( c3_1 @ X1 )
      | ( c1_1 @ X1 )
      | ( c2_1 @ X1 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl296,plain,
    ( ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ( c1_1 @ X1 )
        | ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ( c1_1 @ X1 )
        | ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl8,plain,
    ! [X19: $i,X20: $i,X21: $i] :
      ( ( c2_1 @ X19 )
      | ( c0_1 @ X19 )
      | ~ ( c3_1 @ X19 )
      | ~ ndr1_0
      | ( c0_1 @ X20 )
      | ( c2_1 @ X20 )
      | ~ ( c1_1 @ X20 )
      | ~ ndr1_0
      | ~ ( c2_1 @ X21 )
      | ~ ( c0_1 @ X21 )
      | ~ ( c3_1 @ X21 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl329,plain,
    ( ! [X20: $i] :
        ( ( c0_1 @ X20 )
        | ( c2_1 @ X20 )
        | ~ ( c1_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c0_1 @ X20 )
        | ( c2_1 @ X20 )
        | ~ ( c1_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1060,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
      & ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl329]) ).

thf(zip_derived_cl1066,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
      & ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1060]) ).

thf(zip_derived_cl3822,plain,
    ( ( ( c0_1 @ a2182 )
      | ( c2_1 @ a2182 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
      & ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) )
      & ( c3_1 @ a2182 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl988,zip_derived_cl1066]) ).

thf('2',plain,
    ( ~ ( c3_1 @ a2182 )
    | ~ ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
    | ~ ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) )
    | ( c0_1 @ a2182 )
    | ( c2_1 @ a2182 ) ),
    inference(split,[status(esa)],[zip_derived_cl3822]) ).

thf(zip_derived_cl65,plain,
    ( ~ hskp57
    | ( c1_1 @ a2243 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl540,plain,
    ( ( c1_1 @ a2243 )
   <= ( c1_1 @ a2243 ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl355,plain,
    ( ! [X29: $i] :
        ( ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl2922,plain,
    ( ( ~ ( c3_1 @ a2243 )
      | ~ ( c2_1 @ a2243 ) )
   <= ( ! [X29: $i] :
          ( ~ ( c1_1 @ X29 )
          | ~ ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
      & ( c1_1 @ a2243 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl355]) ).

thf('3',plain,
    ( ~ ( c2_1 @ a2243 )
    | ~ ( c1_1 @ a2243 )
    | ~ ( c3_1 @ a2243 )
    | ~ ! [X29: $i] :
          ( ~ ( c1_1 @ X29 )
          | ~ ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2922]) ).

thf('4',plain,
    ( ( c3_1 @ a2182 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl289]) ).

thf(zip_derived_cl290,plain,
    ( ~ hskp1
    | ~ ( c0_1 @ a2182 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( ~ ( c0_1 @ a2182 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl291,plain,
    ( ~ hskp1
    | ~ ( c2_1 @ a2182 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( ~ ( c2_1 @ a2182 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl291]) ).

thf(zip_derived_cl56,plain,
    ! [X97: $i,X98: $i] :
      ( hskp1
      | ~ ( c1_1 @ X97 )
      | ( c0_1 @ X97 )
      | ( c3_1 @ X97 )
      | ~ ndr1_0
      | ( c3_1 @ X98 )
      | ( c1_1 @ X98 )
      | ( c0_1 @ X98 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( hskp1
    | ! [X17: $i] :
        ( ( c0_1 @ X17 )
        | ( c1_1 @ X17 )
        | ( c3_1 @ X17 ) )
    | ~ ndr1_0
    | ! [X24: $i] :
        ( ~ ( c1_1 @ X24 )
        | ( c0_1 @ X24 )
        | ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp52
    | ( c1_1 @ a2234 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( ~ hskp52
    | ( c1_1 @ a2234 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl580,plain,
    ( ( c1_1 @ a2234 )
   <= ( c1_1 @ a2234 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl355_003,plain,
    ( ! [X29: $i] :
        ( ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl3097,plain,
    ( ( ~ ( c3_1 @ a2234 )
      | ~ ( c2_1 @ a2234 ) )
   <= ( ! [X29: $i] :
          ( ~ ( c1_1 @ X29 )
          | ~ ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
      & ( c1_1 @ a2234 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl580,zip_derived_cl355]) ).

thf('9',plain,
    ( ~ ( c2_1 @ a2234 )
    | ~ ( c1_1 @ a2234 )
    | ~ ( c3_1 @ a2234 )
    | ~ ! [X29: $i] :
          ( ~ ( c1_1 @ X29 )
          | ~ ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3097]) ).

thf(zip_derived_cl50,plain,
    ! [X88: $i,X89: $i] :
      ( ( c0_1 @ X88 )
      | ~ ( c1_1 @ X88 )
      | ~ ( c2_1 @ X88 )
      | ~ ndr1_0
      | ( c2_1 @ X89 )
      | ~ ( c1_1 @ X89 )
      | ( c3_1 @ X89 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( ! [X44: $i] :
        ( ( c3_1 @ X44 )
        | ~ ( c1_1 @ X44 )
        | ( c2_1 @ X44 ) )
    | hskp4
    | ~ ndr1_0
    | ! [X39: $i] :
        ( ~ ( c1_1 @ X39 )
        | ( c0_1 @ X39 )
        | ~ ( c2_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl47,plain,
    ( hskp34
    | hskp37
    | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( hskp37
    | hskp6
    | hskp34 ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl34,plain,
    ! [X63: $i] :
      ( hskp14
      | ~ ( c0_1 @ X63 )
      | ( c3_1 @ X63 )
      | ( c2_1 @ X63 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('12',plain,
    ( hskp14
    | hskp4
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ( c2_1 @ X4 )
        | ~ ( c0_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl237,plain,
    ( ~ hskp14
    | ~ ( c1_1 @ a2213 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( ~ ( c1_1 @ a2213 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl237]) ).

thf(zip_derived_cl238,plain,
    ( ~ hskp14
    | ( c2_1 @ a2213 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('14',plain,
    ( ( c2_1 @ a2213 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl238]) ).

thf(zip_derived_cl239,plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a2213 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('15',plain,
    ( ~ ( c0_1 @ a2213 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl239]) ).

thf(zip_derived_cl884,plain,
    ( ~ ( c1_1 @ a2213 )
   <= ~ ( c1_1 @ a2213 ) ),
    inference(split,[status(esa)],[zip_derived_cl237]) ).

thf(zip_derived_cl2,plain,
    ! [X4: $i,X5: $i,X6: $i] :
      ( ( c3_1 @ X4 )
      | ( c2_1 @ X4 )
      | ~ ( c0_1 @ X4 )
      | ~ ndr1_0
      | ~ ( c2_1 @ X5 )
      | ( c0_1 @ X5 )
      | ( c1_1 @ X5 )
      | ~ ndr1_0
      | ( c3_1 @ X6 )
      | ~ ( c0_1 @ X6 )
      | ~ ( c2_1 @ X6 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl305,plain,
    ( ! [X5: $i] :
        ( ~ ( c2_1 @ X5 )
        | ( c0_1 @ X5 )
        | ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ~ ( c2_1 @ X5 )
        | ( c0_1 @ X5 )
        | ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl2312,plain,
    ( ( ~ ( c2_1 @ a2213 )
      | ( c0_1 @ a2213 ) )
   <= ( ~ ( c1_1 @ a2213 )
      & ! [X5: $i] :
          ( ~ ( c2_1 @ X5 )
          | ( c0_1 @ X5 )
          | ( c1_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl884,zip_derived_cl305]) ).

thf('16',plain,
    ( ( c1_1 @ a2213 )
    | ~ ( c2_1 @ a2213 )
    | ~ ! [X5: $i] :
          ( ~ ( c2_1 @ X5 )
          | ( c0_1 @ X5 )
          | ( c1_1 @ X5 ) )
    | ( c0_1 @ a2213 ) ),
    inference(split,[status(esa)],[zip_derived_cl2312]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp37
    | ( c1_1 @ a2196 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl700,plain,
    ( ( c1_1 @ a2196 )
   <= ( c1_1 @ a2196 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl19,plain,
    ! [X36: $i,X37: $i,X38: $i] :
      ( ~ ( c3_1 @ X36 )
      | ~ ( c1_1 @ X36 )
      | ( c0_1 @ X36 )
      | ~ ndr1_0
      | ( c3_1 @ X37 )
      | ( c0_1 @ X37 )
      | ~ ( c2_1 @ X37 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X38 )
      | ( c3_1 @ X38 )
      | ~ ( c0_1 @ X38 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl372,plain,
    ( ! [X36: $i] :
        ( ~ ( c3_1 @ X36 )
        | ~ ( c1_1 @ X36 )
        | ( c0_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ~ ( c3_1 @ X36 )
        | ~ ( c1_1 @ X36 )
        | ( c0_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl3392,plain,
    ( ( ~ ( c3_1 @ a2196 )
      | ( c0_1 @ a2196 ) )
   <= ( ! [X36: $i] :
          ( ~ ( c3_1 @ X36 )
          | ~ ( c1_1 @ X36 )
          | ( c0_1 @ X36 ) )
      & ( c1_1 @ a2196 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl700,zip_derived_cl372]) ).

thf('17',plain,
    ( ~ ( c3_1 @ a2196 )
    | ( c0_1 @ a2196 )
    | ~ ! [X36: $i] :
          ( ~ ( c3_1 @ X36 )
          | ~ ( c1_1 @ X36 )
          | ( c0_1 @ X36 ) )
    | ~ ( c1_1 @ a2196 ) ),
    inference(split,[status(esa)],[zip_derived_cl3392]) ).

thf(zip_derived_cl4,plain,
    ! [X9: $i,X10: $i] :
      ( ( c0_1 @ X9 )
      | ~ ( c3_1 @ X9 )
      | ~ ( c2_1 @ X9 )
      | ~ ndr1_0
      | ( c3_1 @ X10 )
      | ( c0_1 @ X10 )
      | ( c2_1 @ X10 )
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl312,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl1066_004,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
      & ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1060]) ).

thf(zip_derived_cl1085,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
      & ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c2_1 @ X10 ) )
      & ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl1066]) ).

thf(zip_derived_cl1088,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
      & ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c2_1 @ X10 ) )
      & ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1085]) ).

thf(zip_derived_cl253,plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a2206 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl916,plain,
    ( ~ ( c2_1 @ a2206 )
   <= ~ ( c2_1 @ a2206 ) ),
    inference(split,[status(esa)],[zip_derived_cl253]) ).

thf(zip_derived_cl2415,plain,
    ( ( c0_1 @ a2206 )
   <= ( ~ ( c2_1 @ a2206 )
      & ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
      & ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c2_1 @ X10 ) )
      & ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1088,zip_derived_cl916]) ).

thf(zip_derived_cl254,plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a2206 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl918,plain,
    ( ~ ( c0_1 @ a2206 )
   <= ~ ( c0_1 @ a2206 ) ),
    inference(split,[status(esa)],[zip_derived_cl254]) ).

thf('18',plain,
    ( ( c2_1 @ a2206 )
    | ( c0_1 @ a2206 )
    | ~ ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
    | ~ ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) )
    | ~ ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c2_1 @ X10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2415,zip_derived_cl918]) ).

thf(zip_derived_cl62,plain,
    ( ~ hskp58
    | ~ ( c1_1 @ a2252 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl534,plain,
    ( ~ ( c1_1 @ a2252 )
   <= ~ ( c1_1 @ a2252 ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl5,plain,
    ! [X11: $i,X12: $i] :
      ( hskp32
      | ~ ( c0_1 @ X11 )
      | ( c1_1 @ X11 )
      | ( c2_1 @ X11 )
      | ~ ndr1_0
      | ( c2_1 @ X12 )
      | ( c1_1 @ X12 )
      | ~ ( c3_1 @ X12 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl317,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_cl5]) ).

thf(zip_derived_cl1616,plain,
    ( ( ~ ( c0_1 @ a2252 )
      | ( c2_1 @ a2252 ) )
   <= ( ~ ( c1_1 @ a2252 )
      & ! [X11: $i] :
          ( ~ ( c0_1 @ X11 )
          | ( c1_1 @ X11 )
          | ( c2_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl534,zip_derived_cl317]) ).

thf('19',plain,
    ( ~ ! [X11: $i] :
          ( ~ ( c0_1 @ X11 )
          | ( c1_1 @ X11 )
          | ( c2_1 @ X11 ) )
    | ( c1_1 @ a2252 )
    | ~ ( c0_1 @ a2252 )
    | ( c2_1 @ a2252 ) ),
    inference(split,[status(esa)],[zip_derived_cl1616]) ).

thf(zip_derived_cl306,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ( c2_1 @ X4 )
        | ~ ( c0_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ( c2_1 @ X4 )
        | ~ ( c0_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl296_005,plain,
    ( ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ( c1_1 @ X1 )
        | ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ( c1_1 @ X1 )
        | ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl14,plain,
    ! [X27: $i,X28: $i] :
      ( ~ ( c3_1 @ X27 )
      | ( c2_1 @ X27 )
      | ~ ( c1_1 @ X27 )
      | ~ ndr1_0
      | ~ ( c3_1 @ X28 )
      | ( c2_1 @ X28 )
      | ~ ( c0_1 @ X28 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl351,plain,
    ( ! [X27: $i] :
        ( ~ ( c3_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ~ ( c3_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1255,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
      & ! [X27: $i] :
          ( ~ ( c3_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl351]) ).

thf(zip_derived_cl1263,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
      & ! [X27: $i] :
          ( ~ ( c3_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1255]) ).

thf(zip_derived_cl1293,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
      & ! [X27: $i] :
          ( ~ ( c3_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl1263]) ).

thf(zip_derived_cl1297,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
      & ! [X27: $i] :
          ( ~ ( c3_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1293]) ).

thf(zip_derived_cl223,plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a2222 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl856,plain,
    ( ~ ( c2_1 @ a2222 )
   <= ~ ( c2_1 @ a2222 ) ),
    inference(split,[status(esa)],[zip_derived_cl223]) ).

thf(zip_derived_cl2221,plain,
    ( ~ ( c0_1 @ a2222 )
   <= ( ~ ( c2_1 @ a2222 )
      & ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
      & ! [X27: $i] :
          ( ~ ( c3_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1297,zip_derived_cl856]) ).

thf(zip_derived_cl221,plain,
    ( ~ hskp18
    | ( c0_1 @ a2222 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl852,plain,
    ( ( c0_1 @ a2222 )
   <= ( c0_1 @ a2222 ) ),
    inference(split,[status(esa)],[zip_derived_cl221]) ).

thf('20',plain,
    ( ( c2_1 @ a2222 )
    | ~ ( c0_1 @ a2222 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
    | ~ ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
    | ~ ! [X27: $i] :
          ( ~ ( c3_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2221,zip_derived_cl852]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp33
    | ~ ( c3_1 @ a2188 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl732,plain,
    ( ~ ( c3_1 @ a2188 )
   <= ~ ( c3_1 @ a2188 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl312_006,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl1923,plain,
    ( ( ( c0_1 @ a2188 )
      | ( c2_1 @ a2188 ) )
   <= ( ~ ( c3_1 @ a2188 )
      & ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c2_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl312]) ).

thf('21',plain,
    ( ( c0_1 @ a2188 )
    | ( c3_1 @ a2188 )
    | ~ ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c2_1 @ X10 ) )
    | ( c2_1 @ a2188 ) ),
    inference(split,[status(esa)],[zip_derived_cl1923]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp33
    | ( c1_1 @ a2188 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl736,plain,
    ( ( c1_1 @ a2188 )
   <= ( c1_1 @ a2188 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl329_007,plain,
    ( ! [X20: $i] :
        ( ( c0_1 @ X20 )
        | ( c2_1 @ X20 )
        | ~ ( c1_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c0_1 @ X20 )
        | ( c2_1 @ X20 )
        | ~ ( c1_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl3474,plain,
    ( ( ( c0_1 @ a2188 )
      | ( c2_1 @ a2188 ) )
   <= ( ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) )
      & ( c1_1 @ a2188 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl329]) ).

thf('22',plain,
    ( ( c0_1 @ a2188 )
    | ~ ( c1_1 @ a2188 )
    | ~ ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) )
    | ( c2_1 @ a2188 ) ),
    inference(split,[status(esa)],[zip_derived_cl3474]) ).

thf(zip_derived_cl732_008,plain,
    ( ~ ( c3_1 @ a2188 )
   <= ~ ( c3_1 @ a2188 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl306_009,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ( c2_1 @ X4 )
        | ~ ( c0_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ( c2_1 @ X4 )
        | ~ ( c0_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl1920,plain,
    ( ( ( c2_1 @ a2188 )
      | ~ ( c0_1 @ a2188 ) )
   <= ( ~ ( c3_1 @ a2188 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl306]) ).

thf('23',plain,
    ( ~ ( c0_1 @ a2188 )
    | ( c3_1 @ a2188 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
    | ( c2_1 @ a2188 ) ),
    inference(split,[status(esa)],[zip_derived_cl1920]) ).

thf(zip_derived_cl6,plain,
    ! [X13: $i,X14: $i,X15: $i] :
      ( ( c0_1 @ X13 )
      | ~ ( c2_1 @ X13 )
      | ( c1_1 @ X13 )
      | ~ ndr1_0
      | ( c1_1 @ X14 )
      | ~ ( c3_1 @ X14 )
      | ~ ( c2_1 @ X14 )
      | ~ ndr1_0
      | ( c2_1 @ X15 )
      | ~ ( c0_1 @ X15 )
      | ( c1_1 @ X15 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl321,plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 )
        | ~ ( c2_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 )
        | ~ ( c2_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl469_010,plain,
    ( ! [X81: $i] :
        ( ~ ( c1_1 @ X81 )
        | ~ ( c0_1 @ X81 )
        | ~ ( c2_1 @ X81 ) )
   <= ! [X81: $i] :
        ( ~ ( c1_1 @ X81 )
        | ~ ( c0_1 @ X81 )
        | ~ ( c2_1 @ X81 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl2835,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 )
          | ~ ( c2_1 @ X14 ) )
      & ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl469]) ).

thf(zip_derived_cl2844,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 )
          | ~ ( c2_1 @ X14 ) )
      & ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2835]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp54
    | ( c3_1 @ a2240 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl566,plain,
    ( ( c3_1 @ a2240 )
   <= ( c3_1 @ a2240 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl10068,plain,
    ( ( ~ ( c2_1 @ a2240 )
      | ~ ( c0_1 @ a2240 ) )
   <= ( ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 )
          | ~ ( c2_1 @ X14 ) )
      & ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) )
      & ( c3_1 @ a2240 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2844,zip_derived_cl566]) ).

thf('24',plain,
    ( ~ ( c2_1 @ a2240 )
    | ~ ( c3_1 @ a2240 )
    | ~ ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) )
    | ~ ( c0_1 @ a2240 )
    | ~ ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 )
          | ~ ( c2_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10068]) ).

thf(zip_derived_cl41,plain,
    ! [X74: $i,X75: $i] :
      ( ( c1_1 @ X74 )
      | ( c3_1 @ X74 )
      | ~ ( c0_1 @ X74 )
      | ~ ndr1_0
      | ~ ( c3_1 @ X75 )
      | ( c1_1 @ X75 )
      | ( c2_1 @ X75 )
      | ~ ndr1_0
      | hskp40 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( hskp40
    | ! [X30: $i] :
        ( ( c3_1 @ X30 )
        | ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
    | ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ( c1_1 @ X1 )
        | ( c2_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl246,plain,
    ( ~ hskp12
    | ~ ( c1_1 @ a2211 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl902,plain,
    ( ~ ( c1_1 @ a2211 )
   <= ~ ( c1_1 @ a2211 ) ),
    inference(split,[status(esa)],[zip_derived_cl246]) ).

thf(zip_derived_cl12,plain,
    ! [X25: $i,X26: $i] :
      ( ( c1_1 @ X25 )
      | ~ ( c0_1 @ X25 )
      | ( c2_1 @ X25 )
      | ~ ndr1_0
      | hskp56
      | ( c1_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl343,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl2363,plain,
    ( ( ~ ( c0_1 @ a2211 )
      | ~ ( c2_1 @ a2211 ) )
   <= ( ~ ( c1_1 @ a2211 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl902,zip_derived_cl343]) ).

thf('26',plain,
    ( ~ ( c0_1 @ a2211 )
    | ( c1_1 @ a2211 )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c2_1 @ a2211 ) ),
    inference(split,[status(esa)],[zip_derived_cl2363]) ).

thf(zip_derived_cl902_011,plain,
    ( ~ ( c1_1 @ a2211 )
   <= ~ ( c1_1 @ a2211 ) ),
    inference(split,[status(esa)],[zip_derived_cl246]) ).

thf(zip_derived_cl354_012,plain,
    ( ! [X30: $i] :
        ( ( c3_1 @ X30 )
        | ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c3_1 @ X30 )
        | ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl2364,plain,
    ( ( ( c3_1 @ a2211 )
      | ~ ( c0_1 @ a2211 ) )
   <= ( ~ ( c1_1 @ a2211 )
      & ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl902,zip_derived_cl354]) ).

thf('27',plain,
    ( ~ ( c0_1 @ a2211 )
    | ( c3_1 @ a2211 )
    | ~ ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ( c1_1 @ a2211 ) ),
    inference(split,[status(esa)],[zip_derived_cl2364]) ).

thf(zip_derived_cl902_013,plain,
    ( ~ ( c1_1 @ a2211 )
   <= ~ ( c1_1 @ a2211 ) ),
    inference(split,[status(esa)],[zip_derived_cl246]) ).

thf(zip_derived_cl305_014,plain,
    ( ! [X5: $i] :
        ( ~ ( c2_1 @ X5 )
        | ( c0_1 @ X5 )
        | ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ~ ( c2_1 @ X5 )
        | ( c0_1 @ X5 )
        | ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl2357,plain,
    ( ( ~ ( c2_1 @ a2211 )
      | ( c0_1 @ a2211 ) )
   <= ( ~ ( c1_1 @ a2211 )
      & ! [X5: $i] :
          ( ~ ( c2_1 @ X5 )
          | ( c0_1 @ X5 )
          | ( c1_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl902,zip_derived_cl305]) ).

thf('28',plain,
    ( ( c0_1 @ a2211 )
    | ~ ( c2_1 @ a2211 )
    | ~ ! [X5: $i] :
          ( ~ ( c2_1 @ X5 )
          | ( c0_1 @ X5 )
          | ( c1_1 @ X5 ) )
    | ( c1_1 @ a2211 ) ),
    inference(split,[status(esa)],[zip_derived_cl2357]) ).

thf(zip_derived_cl495_015,plain,
    ( ! [X91: $i] :
        ( ( c3_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c2_1 @ X91 ) )
   <= ! [X91: $i] :
        ( ( c3_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c2_1 @ X91 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl902_016,plain,
    ( ~ ( c1_1 @ a2211 )
   <= ~ ( c1_1 @ a2211 ) ),
    inference(split,[status(esa)],[zip_derived_cl246]) ).

thf(zip_derived_cl2961,plain,
    ( ( ~ ( c2_1 @ a2211 )
      | ( c3_1 @ a2211 ) )
   <= ( ~ ( c1_1 @ a2211 )
      & ! [X91: $i] :
          ( ( c3_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c2_1 @ X91 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl902]) ).

thf('29',plain,
    ( ~ ! [X91: $i] :
          ( ( c3_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c2_1 @ X91 ) )
    | ~ ( c2_1 @ a2211 )
    | ( c1_1 @ a2211 )
    | ( c3_1 @ a2211 ) ),
    inference(split,[status(esa)],[zip_derived_cl2961]) ).

thf('30',plain,
    ( ~ ( c1_1 @ a2211 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl246]) ).

thf(zip_derived_cl282,plain,
    ( ~ hskp3
    | ~ ( c1_1 @ a2190 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('31',plain,
    ( ~ ( c1_1 @ a2190 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl282]) ).

thf(zip_derived_cl974,plain,
    ( ~ ( c1_1 @ a2190 )
   <= ~ ( c1_1 @ a2190 ) ),
    inference(split,[status(esa)],[zip_derived_cl282]) ).

thf(zip_derived_cl305_017,plain,
    ( ! [X5: $i] :
        ( ~ ( c2_1 @ X5 )
        | ( c0_1 @ X5 )
        | ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ~ ( c2_1 @ X5 )
        | ( c0_1 @ X5 )
        | ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl2629,plain,
    ( ( ~ ( c2_1 @ a2190 )
      | ( c0_1 @ a2190 ) )
   <= ( ~ ( c1_1 @ a2190 )
      & ! [X5: $i] :
          ( ~ ( c2_1 @ X5 )
          | ( c0_1 @ X5 )
          | ( c1_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl974,zip_derived_cl305]) ).

thf('32',plain,
    ( ~ ( c2_1 @ a2190 )
    | ( c1_1 @ a2190 )
    | ~ ! [X5: $i] :
          ( ~ ( c2_1 @ X5 )
          | ( c0_1 @ X5 )
          | ( c1_1 @ X5 ) )
    | ( c0_1 @ a2190 ) ),
    inference(split,[status(esa)],[zip_derived_cl2629]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp34
    | ( c3_1 @ a2189 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl728,plain,
    ( ( c3_1 @ a2189 )
   <= ( c3_1 @ a2189 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1066_018,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
      & ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1060]) ).

thf(zip_derived_cl3464,plain,
    ( ( ( c0_1 @ a2189 )
      | ( c2_1 @ a2189 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
      & ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) )
      & ( c3_1 @ a2189 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl1066]) ).

thf('33',plain,
    ( ( c2_1 @ a2189 )
    | ~ ( c3_1 @ a2189 )
    | ~ ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
    | ~ ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) )
    | ( c0_1 @ a2189 ) ),
    inference(split,[status(esa)],[zip_derived_cl3464]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp34
    | ( c1_1 @ a2189 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl726,plain,
    ( ( c1_1 @ a2189 )
   <= ( c1_1 @ a2189 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl20,plain,
    ! [X39: $i] :
      ( hskp50
      | hskp51
      | ~ ( c1_1 @ X39 )
      | ( c0_1 @ X39 )
      | ~ ( c2_1 @ X39 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl374,plain,
    ( ! [X39: $i] :
        ( ~ ( c1_1 @ X39 )
        | ( c0_1 @ X39 )
        | ~ ( c2_1 @ X39 ) )
   <= ! [X39: $i] :
        ( ~ ( c1_1 @ X39 )
        | ( c0_1 @ X39 )
        | ~ ( c2_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl3460,plain,
    ( ( ( c0_1 @ a2189 )
      | ~ ( c2_1 @ a2189 ) )
   <= ( ! [X39: $i] :
          ( ~ ( c1_1 @ X39 )
          | ( c0_1 @ X39 )
          | ~ ( c2_1 @ X39 ) )
      & ( c1_1 @ a2189 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl374]) ).

thf('34',plain,
    ( ~ ( c2_1 @ a2189 )
    | ~ ( c1_1 @ a2189 )
    | ~ ! [X39: $i] :
          ( ~ ( c1_1 @ X39 )
          | ( c0_1 @ X39 )
          | ~ ( c2_1 @ X39 ) )
    | ( c0_1 @ a2189 ) ),
    inference(split,[status(esa)],[zip_derived_cl3460]) ).

thf(zip_derived_cl726_019,plain,
    ( ( c1_1 @ a2189 )
   <= ( c1_1 @ a2189 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl355_020,plain,
    ( ! [X29: $i] :
        ( ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl3457,plain,
    ( ( ~ ( c3_1 @ a2189 )
      | ~ ( c2_1 @ a2189 ) )
   <= ( ! [X29: $i] :
          ( ~ ( c1_1 @ X29 )
          | ~ ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
      & ( c1_1 @ a2189 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl355]) ).

thf('35',plain,
    ( ~ ( c2_1 @ a2189 )
    | ~ ( c3_1 @ a2189 )
    | ~ ! [X29: $i] :
          ( ~ ( c1_1 @ X29 )
          | ~ ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ~ ( c1_1 @ a2189 ) ),
    inference(split,[status(esa)],[zip_derived_cl3457]) ).

thf(zip_derived_cl700_021,plain,
    ( ( c1_1 @ a2196 )
   <= ( c1_1 @ a2196 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl355_022,plain,
    ( ! [X29: $i] :
        ( ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl3391,plain,
    ( ( ~ ( c3_1 @ a2196 )
      | ~ ( c2_1 @ a2196 ) )
   <= ( ! [X29: $i] :
          ( ~ ( c1_1 @ X29 )
          | ~ ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
      & ( c1_1 @ a2196 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl700,zip_derived_cl355]) ).

thf('36',plain,
    ( ~ ( c3_1 @ a2196 )
    | ~ ! [X29: $i] :
          ( ~ ( c1_1 @ X29 )
          | ~ ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ~ ( c2_1 @ a2196 )
    | ~ ( c1_1 @ a2196 ) ),
    inference(split,[status(esa)],[zip_derived_cl3391]) ).

thf(zip_derived_cl2844_023,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 )
          | ~ ( c2_1 @ X14 ) )
      & ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2835]) ).

thf(zip_derived_cl67,plain,
    ( ~ hskp57
    | ( c3_1 @ a2243 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl544,plain,
    ( ( c3_1 @ a2243 )
   <= ( c3_1 @ a2243 ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl10069,plain,
    ( ( ~ ( c2_1 @ a2243 )
      | ~ ( c0_1 @ a2243 ) )
   <= ( ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 )
          | ~ ( c2_1 @ X14 ) )
      & ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) )
      & ( c3_1 @ a2243 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2844,zip_derived_cl544]) ).

thf('37',plain,
    ( ~ ( c2_1 @ a2243 )
    | ~ ( c3_1 @ a2243 )
    | ~ ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) )
    | ~ ( c0_1 @ a2243 )
    | ~ ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 )
          | ~ ( c2_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10069]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp54
    | ( c1_1 @ a2240 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl564,plain,
    ( ( c1_1 @ a2240 )
   <= ( c1_1 @ a2240 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl469_024,plain,
    ( ! [X81: $i] :
        ( ~ ( c1_1 @ X81 )
        | ~ ( c0_1 @ X81 )
        | ~ ( c2_1 @ X81 ) )
   <= ! [X81: $i] :
        ( ~ ( c1_1 @ X81 )
        | ~ ( c0_1 @ X81 )
        | ~ ( c2_1 @ X81 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl3052,plain,
    ( ( ~ ( c0_1 @ a2240 )
      | ~ ( c2_1 @ a2240 ) )
   <= ( ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) )
      & ( c1_1 @ a2240 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl564,zip_derived_cl469]) ).

thf('38',plain,
    ( ~ ( c2_1 @ a2240 )
    | ~ ( c1_1 @ a2240 )
    | ~ ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) )
    | ~ ( c0_1 @ a2240 ) ),
    inference(split,[status(esa)],[zip_derived_cl3052]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp55
    | ( c1_1 @ a2241 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl556,plain,
    ( ( c1_1 @ a2241 )
   <= ( c1_1 @ a2241 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl469_025,plain,
    ( ! [X81: $i] :
        ( ~ ( c1_1 @ X81 )
        | ~ ( c0_1 @ X81 )
        | ~ ( c2_1 @ X81 ) )
   <= ! [X81: $i] :
        ( ~ ( c1_1 @ X81 )
        | ~ ( c0_1 @ X81 )
        | ~ ( c2_1 @ X81 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl3025,plain,
    ( ( ~ ( c0_1 @ a2241 )
      | ~ ( c2_1 @ a2241 ) )
   <= ( ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) )
      & ( c1_1 @ a2241 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl556,zip_derived_cl469]) ).

thf('39',plain,
    ( ~ ( c1_1 @ a2241 )
    | ~ ( c0_1 @ a2241 )
    | ~ ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) )
    | ~ ( c2_1 @ a2241 ) ),
    inference(split,[status(esa)],[zip_derived_cl3025]) ).

thf(zip_derived_cl293,plain,
    ( ~ hskp0
    | ~ ( c0_1 @ a2181 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( ~ ( c0_1 @ a2181 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl293]) ).

thf(zip_derived_cl294,plain,
    ( ~ hskp0
    | ~ ( c1_1 @ a2181 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl998,plain,
    ( ~ ( c1_1 @ a2181 )
   <= ~ ( c1_1 @ a2181 ) ),
    inference(split,[status(esa)],[zip_derived_cl294]) ).

thf(zip_derived_cl7,plain,
    ! [X16: $i,X17: $i,X18: $i] :
      ( ( c1_1 @ X16 )
      | ( c2_1 @ X16 )
      | ( c3_1 @ X16 )
      | ~ ndr1_0
      | ( c0_1 @ X17 )
      | ( c1_1 @ X17 )
      | ( c3_1 @ X17 )
      | ~ ndr1_0
      | ( c2_1 @ X18 )
      | ~ ( c0_1 @ X18 )
      | ~ ( c3_1 @ X18 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl325,plain,
    ( ! [X17: $i] :
        ( ( c0_1 @ X17 )
        | ( c1_1 @ X17 )
        | ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c0_1 @ X17 )
        | ( c1_1 @ X17 )
        | ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl2716,plain,
    ( ( ( c0_1 @ a2181 )
      | ( c3_1 @ a2181 ) )
   <= ( ~ ( c1_1 @ a2181 )
      & ! [X17: $i] :
          ( ( c0_1 @ X17 )
          | ( c1_1 @ X17 )
          | ( c3_1 @ X17 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl998,zip_derived_cl325]) ).

thf('41',plain,
    ( ( c3_1 @ a2181 )
    | ( c1_1 @ a2181 )
    | ~ ! [X17: $i] :
          ( ( c0_1 @ X17 )
          | ( c1_1 @ X17 )
          | ( c3_1 @ X17 ) )
    | ( c0_1 @ a2181 ) ),
    inference(split,[status(esa)],[zip_derived_cl2716]) ).

thf(zip_derived_cl26,plain,
    ! [X49: $i,X50: $i] :
      ( ~ ( c1_1 @ X49 )
      | ~ ( c3_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ndr1_0
      | hskp33
      | ~ ( c2_1 @ X50 )
      | ~ ( c1_1 @ X50 )
      | ( c0_1 @ X50 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('42',plain,
    ( ! [X29: $i] :
        ( ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
    | hskp33
    | ~ ndr1_0
    | ! [X39: $i] :
        ( ~ ( c1_1 @ X39 )
        | ( c0_1 @ X39 )
        | ~ ( c2_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl233,plain,
    ( ~ hskp15
    | ~ ( c3_1 @ a2217 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl876,plain,
    ( ~ ( c3_1 @ a2217 )
   <= ~ ( c3_1 @ a2217 ) ),
    inference(split,[status(esa)],[zip_derived_cl233]) ).

thf(zip_derived_cl312_026,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl2289,plain,
    ( ( ( c0_1 @ a2217 )
      | ( c2_1 @ a2217 ) )
   <= ( ~ ( c3_1 @ a2217 )
      & ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c2_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl876,zip_derived_cl312]) ).

thf('43',plain,
    ( ( c2_1 @ a2217 )
    | ( c0_1 @ a2217 )
    | ~ ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c2_1 @ X10 ) )
    | ( c3_1 @ a2217 ) ),
    inference(split,[status(esa)],[zip_derived_cl2289]) ).

thf(zip_derived_cl876_027,plain,
    ( ~ ( c3_1 @ a2217 )
   <= ~ ( c3_1 @ a2217 ) ),
    inference(split,[status(esa)],[zip_derived_cl233]) ).

thf(zip_derived_cl3,plain,
    ! [X7: $i,X8: $i] :
      ( ( c3_1 @ X7 )
      | ( c0_1 @ X7 )
      | ~ ( c2_1 @ X7 )
      | ~ ndr1_0
      | hskp56
      | ( c3_1 @ X8 )
      | ~ ( c2_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl309,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_cl3]) ).

thf(zip_derived_cl2288,plain,
    ( ( ( c0_1 @ a2217 )
      | ~ ( c2_1 @ a2217 ) )
   <= ( ~ ( c3_1 @ a2217 )
      & ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl876,zip_derived_cl309]) ).

thf('44',plain,
    ( ~ ( c2_1 @ a2217 )
    | ( c3_1 @ a2217 )
    | ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
    | ( c0_1 @ a2217 ) ),
    inference(split,[status(esa)],[zip_derived_cl2288]) ).

thf('45',plain,
    ( ~ ( c3_1 @ a2217 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl233]) ).

thf(zip_derived_cl235,plain,
    ( ~ hskp15
    | ~ ( c0_1 @ a2217 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('46',plain,
    ( ~ ( c0_1 @ a2217 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl235]) ).

thf(zip_derived_cl31,plain,
    ! [X57: $i] :
      ( hskp45
      | hskp15
      | ~ ( c3_1 @ X57 )
      | ~ ( c2_1 @ X57 )
      | ( c1_1 @ X57 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( hskp15
    | ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 )
        | ~ ( c2_1 @ X14 ) )
    | hskp45
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl255,plain,
    ( ~ hskp10
    | ~ ( c3_1 @ a2206 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl920,plain,
    ( ~ ( c3_1 @ a2206 )
   <= ~ ( c3_1 @ a2206 ) ),
    inference(split,[status(esa)],[zip_derived_cl255]) ).

thf(zip_derived_cl312_028,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl2440,plain,
    ( ( ( c0_1 @ a2206 )
      | ( c2_1 @ a2206 ) )
   <= ( ~ ( c3_1 @ a2206 )
      & ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c2_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl920,zip_derived_cl312]) ).

thf('48',plain,
    ( ( c2_1 @ a2206 )
    | ( c0_1 @ a2206 )
    | ~ ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c2_1 @ X10 ) )
    | ( c3_1 @ a2206 ) ),
    inference(split,[status(esa)],[zip_derived_cl2440]) ).

thf(zip_derived_cl564_029,plain,
    ( ( c1_1 @ a2240 )
   <= ( c1_1 @ a2240 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl39,plain,
    ! [X70: $i,X71: $i,X72: $i] :
      ( ( c2_1 @ X70 )
      | ~ ( c1_1 @ X70 )
      | ( c0_1 @ X70 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X71 )
      | ~ ( c1_1 @ X71 )
      | ( c2_1 @ X71 )
      | ~ ndr1_0
      | ( c2_1 @ X72 )
      | ~ ( c3_1 @ X72 )
      | ~ ( c1_1 @ X72 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl450,plain,
    ( ! [X71: $i] :
        ( ~ ( c0_1 @ X71 )
        | ~ ( c1_1 @ X71 )
        | ( c2_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ~ ( c0_1 @ X71 )
        | ~ ( c1_1 @ X71 )
        | ( c2_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl3051,plain,
    ( ( ~ ( c0_1 @ a2240 )
      | ( c2_1 @ a2240 ) )
   <= ( ! [X71: $i] :
          ( ~ ( c0_1 @ X71 )
          | ~ ( c1_1 @ X71 )
          | ( c2_1 @ X71 ) )
      & ( c1_1 @ a2240 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl564,zip_derived_cl450]) ).

thf('49',plain,
    ( ~ ! [X71: $i] :
          ( ~ ( c0_1 @ X71 )
          | ~ ( c1_1 @ X71 )
          | ( c2_1 @ X71 ) )
    | ~ ( c1_1 @ a2240 )
    | ( c2_1 @ a2240 )
    | ~ ( c0_1 @ a2240 ) ),
    inference(split,[status(esa)],[zip_derived_cl3051]) ).

thf(zip_derived_cl564_030,plain,
    ( ( c1_1 @ a2240 )
   <= ( c1_1 @ a2240 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl351_031,plain,
    ( ! [X27: $i] :
        ( ~ ( c3_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ~ ( c3_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl3045,plain,
    ( ( ~ ( c3_1 @ a2240 )
      | ( c2_1 @ a2240 ) )
   <= ( ! [X27: $i] :
          ( ~ ( c3_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
      & ( c1_1 @ a2240 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl564,zip_derived_cl351]) ).

thf('50',plain,
    ( ~ ( c1_1 @ a2240 )
    | ( c2_1 @ a2240 )
    | ~ ! [X27: $i] :
          ( ~ ( c3_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
    | ~ ( c3_1 @ a2240 ) ),
    inference(split,[status(esa)],[zip_derived_cl3045]) ).

thf(zip_derived_cl53,plain,
    ! [X95: $i] :
      ( hskp33
      | ~ ( c0_1 @ X95 )
      | ( c1_1 @ X95 )
      | ~ ( c2_1 @ X95 )
      | ~ ndr1_0
      | hskp34 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('51',plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
    | hskp33
    | hskp34
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl354_032,plain,
    ( ! [X30: $i] :
        ( ( c3_1 @ X30 )
        | ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c3_1 @ X30 )
        | ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl9,plain,
    ! [X22: $i] :
      ( hskp17
      | ~ ( c2_1 @ X22 )
      | ( c3_1 @ X22 )
      | ~ ( c1_1 @ X22 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl332,plain,
    ( ! [X22: $i] :
        ( ~ ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ~ ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1278,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
      & ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl332]) ).

thf(zip_derived_cl1281,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
      & ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1278]) ).

thf(zip_derived_cl267,plain,
    ( ~ hskp7
    | ~ ( c3_1 @ a2198 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl944,plain,
    ( ~ ( c3_1 @ a2198 )
   <= ~ ( c3_1 @ a2198 ) ),
    inference(split,[status(esa)],[zip_derived_cl267]) ).

thf(zip_derived_cl5108,plain,
    ( ( ~ ( c0_1 @ a2198 )
      | ~ ( c2_1 @ a2198 ) )
   <= ( ~ ( c3_1 @ a2198 )
      & ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
      & ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1281,zip_derived_cl944]) ).

thf('52',plain,
    ( ~ ( c0_1 @ a2198 )
    | ( c3_1 @ a2198 )
    | ~ ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
    | ~ ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ~ ( c2_1 @ a2198 ) ),
    inference(split,[status(esa)],[zip_derived_cl5108]) ).

thf(zip_derived_cl343_033,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl332_034,plain,
    ( ! [X22: $i] :
        ( ~ ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ~ ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1208,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl343,zip_derived_cl332]) ).

thf(zip_derived_cl1210,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1208]) ).

thf(zip_derived_cl944_035,plain,
    ( ~ ( c3_1 @ a2198 )
   <= ~ ( c3_1 @ a2198 ) ),
    inference(split,[status(esa)],[zip_derived_cl267]) ).

thf(zip_derived_cl4658,plain,
    ( ( ~ ( c2_1 @ a2198 )
      | ~ ( c0_1 @ a2198 ) )
   <= ( ~ ( c3_1 @ a2198 )
      & ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1210,zip_derived_cl944]) ).

thf('53',plain,
    ( ~ ( c0_1 @ a2198 )
    | ( c3_1 @ a2198 )
    | ~ ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c2_1 @ a2198 ) ),
    inference(split,[status(esa)],[zip_derived_cl4658]) ).

thf(zip_derived_cl726_036,plain,
    ( ( c1_1 @ a2189 )
   <= ( c1_1 @ a2189 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl329_037,plain,
    ( ! [X20: $i] :
        ( ( c0_1 @ X20 )
        | ( c2_1 @ X20 )
        | ~ ( c1_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c0_1 @ X20 )
        | ( c2_1 @ X20 )
        | ~ ( c1_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl3453,plain,
    ( ( ( c0_1 @ a2189 )
      | ( c2_1 @ a2189 ) )
   <= ( ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) )
      & ( c1_1 @ a2189 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl329]) ).

thf('54',plain,
    ( ( c2_1 @ a2189 )
    | ( c0_1 @ a2189 )
    | ~ ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) )
    | ~ ( c1_1 @ a2189 ) ),
    inference(split,[status(esa)],[zip_derived_cl3453]) ).

thf('55',plain,
    ( ! [X5: $i] :
        ( ~ ( c2_1 @ X5 )
        | ( c0_1 @ X5 )
        | ( c1_1 @ X5 ) )
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ( c2_1 @ X4 )
        | ~ ( c0_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp47
    | ~ ( c1_1 @ a2226 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl622,plain,
    ( ~ ( c1_1 @ a2226 )
   <= ~ ( c1_1 @ a2226 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl354_038,plain,
    ( ! [X30: $i] :
        ( ( c3_1 @ X30 )
        | ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c3_1 @ X30 )
        | ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1719,plain,
    ( ( ( c3_1 @ a2226 )
      | ~ ( c0_1 @ a2226 ) )
   <= ( ~ ( c1_1 @ a2226 )
      & ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl622,zip_derived_cl354]) ).

thf('56',plain,
    ( ( c3_1 @ a2226 )
    | ( c1_1 @ a2226 )
    | ~ ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ~ ( c0_1 @ a2226 ) ),
    inference(split,[status(esa)],[zip_derived_cl1719]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp47
    | ( c2_1 @ a2226 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( ( c2_1 @ a2226 )
    | ~ hskp47 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf('58',plain,
    ( ~ ( c1_1 @ a2226 )
    | ~ hskp47 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp47
    | ( c0_1 @ a2226 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('59',plain,
    ( ( c0_1 @ a2226 )
    | ~ hskp47 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl24,plain,
    ! [X45: $i,X46: $i] :
      ( hskp47
      | ~ ( c3_1 @ X45 )
      | ( c0_1 @ X45 )
      | ( c2_1 @ X45 )
      | ~ ndr1_0
      | ( c1_1 @ X46 )
      | ( c2_1 @ X46 )
      | ( c3_1 @ X46 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('60',plain,
    ( ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | hskp47
    | ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c2_1 @ X16 )
        | ( c3_1 @ X16 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl57,plain,
    ! [X99: $i,X100: $i] :
      ( ~ ( c2_1 @ X99 )
      | ~ ( c0_1 @ X99 )
      | ~ ( c1_1 @ X99 )
      | ~ ndr1_0
      | hskp0
      | ~ ( c0_1 @ X100 )
      | ~ ( c2_1 @ X100 )
      | ~ ( c1_1 @ X100 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('61',plain,
    ( ! [X81: $i] :
        ( ~ ( c1_1 @ X81 )
        | ~ ( c0_1 @ X81 )
        | ~ ( c2_1 @ X81 ) )
    | hskp0
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl2847_039,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
      & ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2840]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp26
    | ~ ( c3_1 @ a2178 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl788,plain,
    ( ~ ( c3_1 @ a2178 )
   <= ~ ( c3_1 @ a2178 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl14328,plain,
    ( ( ~ ( c0_1 @ a2178 )
      | ~ ( c2_1 @ a2178 ) )
   <= ( ~ ( c3_1 @ a2178 )
      & ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
      & ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2847,zip_derived_cl788]) ).

thf('62',plain,
    ( ( c3_1 @ a2178 )
    | ~ ( c2_1 @ a2178 )
    | ~ ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) )
    | ~ ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ~ ( c0_1 @ a2178 ) ),
    inference(split,[status(esa)],[zip_derived_cl14328]) ).

thf(zip_derived_cl69,plain,
    ( ~ hskp56
    | ~ ( c1_1 @ a2242 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl548,plain,
    ( ~ ( c1_1 @ a2242 )
   <= ~ ( c1_1 @ a2242 ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl305_040,plain,
    ( ! [X5: $i] :
        ( ~ ( c2_1 @ X5 )
        | ( c0_1 @ X5 )
        | ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ~ ( c2_1 @ X5 )
        | ( c0_1 @ X5 )
        | ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl1635,plain,
    ( ( ~ ( c2_1 @ a2242 )
      | ( c0_1 @ a2242 ) )
   <= ( ~ ( c1_1 @ a2242 )
      & ! [X5: $i] :
          ( ~ ( c2_1 @ X5 )
          | ( c0_1 @ X5 )
          | ( c1_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl548,zip_derived_cl305]) ).

thf('63',plain,
    ( ( c0_1 @ a2242 )
    | ~ ( c2_1 @ a2242 )
    | ~ ! [X5: $i] :
          ( ~ ( c2_1 @ X5 )
          | ( c0_1 @ X5 )
          | ( c1_1 @ X5 ) )
    | ( c1_1 @ a2242 ) ),
    inference(split,[status(esa)],[zip_derived_cl1635]) ).

thf(zip_derived_cl25,plain,
    ! [X47: $i,X48: $i] :
      ( ( c1_1 @ X47 )
      | ~ ( c0_1 @ X47 )
      | ( c3_1 @ X47 )
      | ~ ndr1_0
      | hskp33
      | ( c2_1 @ X48 )
      | ~ ( c1_1 @ X48 )
      | ( c0_1 @ X48 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( ! [X20: $i] :
        ( ( c0_1 @ X20 )
        | ( c2_1 @ X20 )
        | ~ ( c1_1 @ X20 ) )
    | hskp33
    | ~ ndr1_0
    | ! [X30: $i] :
        ( ( c3_1 @ X30 )
        | ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf('65',plain,
    ( ~ ( c1_1 @ a2242 )
    | ~ hskp56 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl70,plain,
    ( ~ hskp56
    | ~ ( c3_1 @ a2242 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( ~ ( c3_1 @ a2242 )
    | ~ hskp56 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl71,plain,
    ( ~ hskp56
    | ( c2_1 @ a2242 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('67',plain,
    ( ( c2_1 @ a2242 )
    | ~ hskp56 ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp31
    | ( c3_1 @ a2185 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl752,plain,
    ( ( c3_1 @ a2185 )
   <= ( c3_1 @ a2185 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl1066_041,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
      & ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1060]) ).

thf(zip_derived_cl3500,plain,
    ( ( ( c0_1 @ a2185 )
      | ( c2_1 @ a2185 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
      & ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) )
      & ( c3_1 @ a2185 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl752,zip_derived_cl1066]) ).

thf('68',plain,
    ( ( c2_1 @ a2185 )
    | ( c0_1 @ a2185 )
    | ~ ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
    | ~ ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) )
    | ~ ( c3_1 @ a2185 ) ),
    inference(split,[status(esa)],[zip_derived_cl3500]) ).

thf(zip_derived_cl752_042,plain,
    ( ( c3_1 @ a2185 )
   <= ( c3_1 @ a2185 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl330,plain,
    ( ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl3505,plain,
    ( ( ( c2_1 @ a2185 )
      | ( c0_1 @ a2185 ) )
   <= ( ! [X19: $i] :
          ( ( c2_1 @ X19 )
          | ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a2185 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl752,zip_derived_cl330]) ).

thf('69',plain,
    ( ( c0_1 @ a2185 )
    | ( c2_1 @ a2185 )
    | ~ ! [X19: $i] :
          ( ( c2_1 @ X19 )
          | ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c3_1 @ a2185 ) ),
    inference(split,[status(esa)],[zip_derived_cl3505]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp31
    | ( c1_1 @ a2185 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl748,plain,
    ( ( c1_1 @ a2185 )
   <= ( c1_1 @ a2185 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl372_043,plain,
    ( ! [X36: $i] :
        ( ~ ( c3_1 @ X36 )
        | ~ ( c1_1 @ X36 )
        | ( c0_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ~ ( c3_1 @ X36 )
        | ~ ( c1_1 @ X36 )
        | ( c0_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl3494,plain,
    ( ( ~ ( c3_1 @ a2185 )
      | ( c0_1 @ a2185 ) )
   <= ( ! [X36: $i] :
          ( ~ ( c3_1 @ X36 )
          | ~ ( c1_1 @ X36 )
          | ( c0_1 @ X36 ) )
      & ( c1_1 @ a2185 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl748,zip_derived_cl372]) ).

thf(zip_derived_cl11524,plain,
    ( ( c0_1 @ a2185 )
   <= ( c0_1 @ a2185 ) ),
    inference(split,[status(esa)],[zip_derived_cl3494]) ).

thf(zip_derived_cl306_044,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ( c2_1 @ X4 )
        | ~ ( c0_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ( c2_1 @ X4 )
        | ~ ( c0_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $i,X3: $i] :
      ( ( c2_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ( c0_1 @ X2 )
      | ~ ndr1_0
      | ~ ( c3_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ( c0_1 @ X3 )
      | ~ ndr1_0
      | hskp40 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl301,plain,
    ( ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl1008,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl301]) ).

thf(zip_derived_cl1010,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1008]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp31
    | ~ ( c2_1 @ a2185 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl750,plain,
    ( ~ ( c2_1 @ a2185 )
   <= ~ ( c2_1 @ a2185 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl1956,plain,
    ( ~ ( c0_1 @ a2185 )
   <= ( ~ ( c2_1 @ a2185 )
      & ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1010,zip_derived_cl750]) ).

thf('70',plain,
    ( ~ ( c0_1 @ a2185 )
    | ( c2_1 @ a2185 )
    | ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11524,zip_derived_cl1956]) ).

thf('71',plain,
    ( hskp56
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | ~ ndr1_0
    | ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ( c0_1 @ X7 )
        | ~ ( c2_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl42,plain,
    ! [X76: $i,X77: $i,X78: $i] :
      ( ( c3_1 @ X76 )
      | ~ ( c0_1 @ X76 )
      | ( c1_1 @ X76 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X77 )
      | ( c3_1 @ X77 )
      | ~ ( c2_1 @ X77 )
      | ~ ndr1_0
      | ( c0_1 @ X78 )
      | ~ ( c2_1 @ X78 )
      | ( c1_1 @ X78 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('72',plain,
    ( ! [X5: $i] :
        ( ~ ( c2_1 @ X5 )
        | ( c0_1 @ X5 )
        | ( c1_1 @ X5 ) )
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | ~ ndr1_0
    | ! [X30: $i] :
        ( ( c3_1 @ X30 )
        | ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl325_045,plain,
    ( ! [X17: $i] :
        ( ( c0_1 @ X17 )
        | ( c1_1 @ X17 )
        | ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c0_1 @ X17 )
        | ( c1_1 @ X17 )
        | ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl11,plain,
    ! [X24: $i] :
      ( hskp57
      | ~ ( c1_1 @ X24 )
      | ( c0_1 @ X24 )
      | ( c3_1 @ X24 )
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl339,plain,
    ( ! [X24: $i] :
        ( ~ ( c1_1 @ X24 )
        | ( c0_1 @ X24 )
        | ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ~ ( c1_1 @ X24 )
        | ( c0_1 @ X24 )
        | ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1181,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X17: $i] :
          ( ( c0_1 @ X17 )
          | ( c1_1 @ X17 )
          | ( c3_1 @ X17 ) )
      & ! [X24: $i] :
          ( ~ ( c1_1 @ X24 )
          | ( c0_1 @ X24 )
          | ( c3_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl339]) ).

thf(zip_derived_cl1185,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X17: $i] :
          ( ( c0_1 @ X17 )
          | ( c1_1 @ X17 )
          | ( c3_1 @ X17 ) )
      & ! [X24: $i] :
          ( ~ ( c1_1 @ X24 )
          | ( c0_1 @ X24 )
          | ( c3_1 @ X24 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1181]) ).

thf(zip_derived_cl211,plain,
    ( ~ hskp21
    | ~ ( c3_1 @ a2239 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl832,plain,
    ( ~ ( c3_1 @ a2239 )
   <= ~ ( c3_1 @ a2239 ) ),
    inference(split,[status(esa)],[zip_derived_cl211]) ).

thf(zip_derived_cl2155,plain,
    ( ( c0_1 @ a2239 )
   <= ( ~ ( c3_1 @ a2239 )
      & ! [X17: $i] :
          ( ( c0_1 @ X17 )
          | ( c1_1 @ X17 )
          | ( c3_1 @ X17 ) )
      & ! [X24: $i] :
          ( ~ ( c1_1 @ X24 )
          | ( c0_1 @ X24 )
          | ( c3_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1185,zip_derived_cl832]) ).

thf(zip_derived_cl210,plain,
    ( ~ hskp21
    | ~ ( c0_1 @ a2239 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl830,plain,
    ( ~ ( c0_1 @ a2239 )
   <= ~ ( c0_1 @ a2239 ) ),
    inference(split,[status(esa)],[zip_derived_cl210]) ).

thf('73',plain,
    ( ~ ! [X24: $i] :
          ( ~ ( c1_1 @ X24 )
          | ( c0_1 @ X24 )
          | ( c3_1 @ X24 ) )
    | ( c0_1 @ a2239 )
    | ~ ! [X17: $i] :
          ( ( c0_1 @ X17 )
          | ( c1_1 @ X17 )
          | ( c3_1 @ X17 ) )
    | ( c3_1 @ a2239 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2155,zip_derived_cl830]) ).

thf('74',plain,
    ( ( c1_1 @ a2241 )
    | ~ hskp55 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl556_046,plain,
    ( ( c1_1 @ a2241 )
   <= ( c1_1 @ a2241 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl332_047,plain,
    ( ! [X22: $i] :
        ( ~ ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ~ ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl3016,plain,
    ( ( ~ ( c2_1 @ a2241 )
      | ( c3_1 @ a2241 ) )
   <= ( ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
      & ( c1_1 @ a2241 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl556,zip_derived_cl332]) ).

thf('75',plain,
    ( ~ ( c1_1 @ a2241 )
    | ~ ( c2_1 @ a2241 )
    | ~ ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
    | ( c3_1 @ a2241 ) ),
    inference(split,[status(esa)],[zip_derived_cl3016]) ).

thf(zip_derived_cl1281_048,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
      & ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1278]) ).

thf(zip_derived_cl788_049,plain,
    ( ~ ( c3_1 @ a2178 )
   <= ~ ( c3_1 @ a2178 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl5120,plain,
    ( ( ~ ( c0_1 @ a2178 )
      | ~ ( c2_1 @ a2178 ) )
   <= ( ~ ( c3_1 @ a2178 )
      & ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
      & ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1281,zip_derived_cl788]) ).

thf('76',plain,
    ( ( c3_1 @ a2178 )
    | ~ ( c0_1 @ a2178 )
    | ~ ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
    | ~ ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ~ ( c2_1 @ a2178 ) ),
    inference(split,[status(esa)],[zip_derived_cl5120]) ).

thf('77',plain,
    ( hskp58
    | ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ( c1_1 @ X1 )
        | ( c2_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl1010_050,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1008]) ).

thf(zip_derived_cl61,plain,
    ( ~ hskp58
    | ~ ( c2_1 @ a2252 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl532,plain,
    ( ~ ( c2_1 @ a2252 )
   <= ~ ( c2_1 @ a2252 ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl1606,plain,
    ( ~ ( c0_1 @ a2252 )
   <= ( ~ ( c2_1 @ a2252 )
      & ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1010,zip_derived_cl532]) ).

thf(zip_derived_cl63,plain,
    ( ~ hskp58
    | ( c0_1 @ a2252 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl536,plain,
    ( ( c0_1 @ a2252 )
   <= ( c0_1 @ a2252 ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf('78',plain,
    ( ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
    | ( c2_1 @ a2252 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
    | ~ ( c0_1 @ a2252 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1606,zip_derived_cl536]) ).

thf(zip_derived_cl1010_051,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1008]) ).

thf(zip_derived_cl206,plain,
    ( ~ hskp22
    | ~ ( c2_1 @ a2244 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl822,plain,
    ( ~ ( c2_1 @ a2244 )
   <= ~ ( c2_1 @ a2244 ) ),
    inference(split,[status(esa)],[zip_derived_cl206]) ).

thf(zip_derived_cl2107,plain,
    ( ~ ( c0_1 @ a2244 )
   <= ( ~ ( c2_1 @ a2244 )
      & ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1010,zip_derived_cl822]) ).

thf(zip_derived_cl205,plain,
    ( ~ hskp22
    | ( c0_1 @ a2244 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl820,plain,
    ( ( c0_1 @ a2244 )
   <= ( c0_1 @ a2244 ) ),
    inference(split,[status(esa)],[zip_derived_cl205]) ).

thf('79',plain,
    ( ~ ( c0_1 @ a2244 )
    | ( c2_1 @ a2244 )
    | ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2107,zip_derived_cl820]) ).

thf(zip_derived_cl622_052,plain,
    ( ~ ( c1_1 @ a2226 )
   <= ~ ( c1_1 @ a2226 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl321_053,plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 )
        | ~ ( c2_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 )
        | ~ ( c2_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1714,plain,
    ( ( ~ ( c3_1 @ a2226 )
      | ~ ( c2_1 @ a2226 ) )
   <= ( ~ ( c1_1 @ a2226 )
      & ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 )
          | ~ ( c2_1 @ X14 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl622,zip_derived_cl321]) ).

thf('80',plain,
    ( ~ ( c2_1 @ a2226 )
    | ( c1_1 @ a2226 )
    | ~ ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 )
          | ~ ( c2_1 @ X14 ) )
    | ~ ( c3_1 @ a2226 ) ),
    inference(split,[status(esa)],[zip_derived_cl1714]) ).

thf(zip_derived_cl566_054,plain,
    ( ( c3_1 @ a2240 )
   <= ( c3_1 @ a2240 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl300,plain,
    ( ! [X3: $i] :
        ( ~ ( c3_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ( c0_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c3_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ( c0_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl3057,plain,
    ( ( ~ ( c2_1 @ a2240 )
      | ( c0_1 @ a2240 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c3_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ( c0_1 @ X3 ) )
      & ( c3_1 @ a2240 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl566,zip_derived_cl300]) ).

thf('81',plain,
    ( ( c0_1 @ a2240 )
    | ~ ( c2_1 @ a2240 )
    | ~ ! [X3: $i] :
          ( ~ ( c3_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ( c0_1 @ X3 ) )
    | ~ ( c3_1 @ a2240 ) ),
    inference(split,[status(esa)],[zip_derived_cl3057]) ).

thf(zip_derived_cl544_055,plain,
    ( ( c3_1 @ a2243 )
   <= ( c3_1 @ a2243 ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl301_056,plain,
    ( ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl2936,plain,
    ( ( ( c2_1 @ a2243 )
      | ~ ( c0_1 @ a2243 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ( c3_1 @ a2243 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl544,zip_derived_cl301]) ).

thf('82',plain,
    ( ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
    | ~ ( c0_1 @ a2243 )
    | ~ ( c3_1 @ a2243 )
    | ( c2_1 @ a2243 ) ),
    inference(split,[status(esa)],[zip_derived_cl2936]) ).

thf(zip_derived_cl548_057,plain,
    ( ~ ( c1_1 @ a2242 )
   <= ~ ( c1_1 @ a2242 ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl354_058,plain,
    ( ! [X30: $i] :
        ( ( c3_1 @ X30 )
        | ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c3_1 @ X30 )
        | ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1642,plain,
    ( ( ( c3_1 @ a2242 )
      | ~ ( c0_1 @ a2242 ) )
   <= ( ~ ( c1_1 @ a2242 )
      & ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl548,zip_derived_cl354]) ).

thf('83',plain,
    ( ~ ( c0_1 @ a2242 )
    | ( c1_1 @ a2242 )
    | ~ ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ( c3_1 @ a2242 ) ),
    inference(split,[status(esa)],[zip_derived_cl1642]) ).

thf(zip_derived_cl998_059,plain,
    ( ~ ( c1_1 @ a2181 )
   <= ~ ( c1_1 @ a2181 ) ),
    inference(split,[status(esa)],[zip_derived_cl294]) ).

thf(zip_derived_cl296_060,plain,
    ( ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ( c1_1 @ X1 )
        | ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ( c1_1 @ X1 )
        | ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl2711,plain,
    ( ( ~ ( c3_1 @ a2181 )
      | ( c2_1 @ a2181 ) )
   <= ( ~ ( c1_1 @ a2181 )
      & ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl998,zip_derived_cl296]) ).

thf('84',plain,
    ( ~ ( c3_1 @ a2181 )
    | ( c1_1 @ a2181 )
    | ~ ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
    | ( c2_1 @ a2181 ) ),
    inference(split,[status(esa)],[zip_derived_cl2711]) ).

thf('85',plain,
    ( ~ ( c1_1 @ a2181 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl294]) ).

thf(zip_derived_cl295,plain,
    ( ~ hskp0
    | ~ ( c2_1 @ a2181 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( ~ ( c2_1 @ a2181 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl295]) ).

thf(zip_derived_cl998_061,plain,
    ( ~ ( c1_1 @ a2181 )
   <= ~ ( c1_1 @ a2181 ) ),
    inference(split,[status(esa)],[zip_derived_cl294]) ).

thf(zip_derived_cl326,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_cl7]) ).

thf(zip_derived_cl2715,plain,
    ( ( ( c2_1 @ a2181 )
      | ( c3_1 @ a2181 ) )
   <= ( ~ ( c1_1 @ a2181 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ( c3_1 @ X16 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl998,zip_derived_cl326]) ).

thf('87',plain,
    ( ( c3_1 @ a2181 )
    | ( c2_1 @ a2181 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ( c3_1 @ X16 ) )
    | ( c1_1 @ a2181 ) ),
    inference(split,[status(esa)],[zip_derived_cl2715]) ).

thf(zip_derived_cl33,plain,
    ! [X60: $i,X61: $i,X62: $i] :
      ( ( c0_1 @ X60 )
      | ( c3_1 @ X60 )
      | ~ ( c2_1 @ X60 )
      | ~ ndr1_0
      | ( c1_1 @ X61 )
      | ( c0_1 @ X61 )
      | ~ ( c2_1 @ X61 )
      | ~ ndr1_0
      | ~ ( c2_1 @ X62 )
      | ( c1_1 @ X62 )
      | ~ ( c3_1 @ X62 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 )
        | ~ ( c2_1 @ X14 ) )
    | ! [X5: $i] :
        ( ~ ( c2_1 @ X5 )
        | ( c0_1 @ X5 )
        | ( c1_1 @ X5 ) )
    | ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ( c0_1 @ X7 )
        | ~ ( c2_1 @ X7 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp40
    | ( c3_1 @ a2204 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl680,plain,
    ( ( c3_1 @ a2204 )
   <= ( c3_1 @ a2204 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl328,plain,
    ( ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl3362,plain,
    ( ( ~ ( c2_1 @ a2204 )
      | ~ ( c0_1 @ a2204 ) )
   <= ( ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ( c3_1 @ a2204 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl680,zip_derived_cl328]) ).

thf('89',plain,
    ( ~ ( c0_1 @ a2204 )
    | ~ ( c2_1 @ a2204 )
    | ~ ( c3_1 @ a2204 )
    | ~ ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3362]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp40
    | ~ ( c1_1 @ a2204 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl678,plain,
    ( ~ ( c1_1 @ a2204 )
   <= ~ ( c1_1 @ a2204 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl321_062,plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 )
        | ~ ( c2_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 )
        | ~ ( c2_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1792,plain,
    ( ( ~ ( c3_1 @ a2204 )
      | ~ ( c2_1 @ a2204 ) )
   <= ( ~ ( c1_1 @ a2204 )
      & ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 )
          | ~ ( c2_1 @ X14 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl678,zip_derived_cl321]) ).

thf('90',plain,
    ( ~ ( c2_1 @ a2204 )
    | ( c1_1 @ a2204 )
    | ~ ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 )
          | ~ ( c2_1 @ X14 ) )
    | ~ ( c3_1 @ a2204 ) ),
    inference(split,[status(esa)],[zip_derived_cl1792]) ).

thf(zip_derived_cl207,plain,
    ( ~ hskp22
    | ~ ( c1_1 @ a2244 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl824,plain,
    ( ~ ( c1_1 @ a2244 )
   <= ~ ( c1_1 @ a2244 ) ),
    inference(split,[status(esa)],[zip_derived_cl207]) ).

thf(zip_derived_cl354_063,plain,
    ( ! [X30: $i] :
        ( ( c3_1 @ X30 )
        | ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c3_1 @ X30 )
        | ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl2123,plain,
    ( ( ( c3_1 @ a2244 )
      | ~ ( c0_1 @ a2244 ) )
   <= ( ~ ( c1_1 @ a2244 )
      & ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl824,zip_derived_cl354]) ).

thf('91',plain,
    ( ( c3_1 @ a2244 )
    | ( c1_1 @ a2244 )
    | ~ ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ~ ( c0_1 @ a2244 ) ),
    inference(split,[status(esa)],[zip_derived_cl2123]) ).

thf(zip_derived_cl12312,plain,
    ( ( c3_1 @ a2244 )
   <= ( c3_1 @ a2244 ) ),
    inference(split,[status(esa)],[zip_derived_cl2123]) ).

thf(zip_derived_cl301_064,plain,
    ( ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl12335,plain,
    ( ( ( c2_1 @ a2244 )
      | ~ ( c0_1 @ a2244 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ( c3_1 @ a2244 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12312,zip_derived_cl301]) ).

thf('92',plain,
    ( ~ ( c0_1 @ a2244 )
    | ~ ( c3_1 @ a2244 )
    | ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
    | ( c2_1 @ a2244 ) ),
    inference(split,[status(esa)],[zip_derived_cl12335]) ).

thf(zip_derived_cl748_065,plain,
    ( ( c1_1 @ a2185 )
   <= ( c1_1 @ a2185 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl329_066,plain,
    ( ! [X20: $i] :
        ( ( c0_1 @ X20 )
        | ( c2_1 @ X20 )
        | ~ ( c1_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c0_1 @ X20 )
        | ( c2_1 @ X20 )
        | ~ ( c1_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl3489,plain,
    ( ( ( c0_1 @ a2185 )
      | ( c2_1 @ a2185 ) )
   <= ( ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) )
      & ( c1_1 @ a2185 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl748,zip_derived_cl329]) ).

thf('93',plain,
    ( ( c0_1 @ a2185 )
    | ~ ( c1_1 @ a2185 )
    | ~ ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) )
    | ( c2_1 @ a2185 ) ),
    inference(split,[status(esa)],[zip_derived_cl3489]) ).

thf(zip_derived_cl748_067,plain,
    ( ( c1_1 @ a2185 )
   <= ( c1_1 @ a2185 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl351_068,plain,
    ( ! [X27: $i] :
        ( ~ ( c3_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ~ ( c3_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl3492,plain,
    ( ( ~ ( c3_1 @ a2185 )
      | ( c2_1 @ a2185 ) )
   <= ( ! [X27: $i] :
          ( ~ ( c3_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
      & ( c1_1 @ a2185 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl748,zip_derived_cl351]) ).

thf('94',plain,
    ( ~ ( c1_1 @ a2185 )
    | ~ ( c3_1 @ a2185 )
    | ~ ! [X27: $i] :
          ( ~ ( c3_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
    | ( c2_1 @ a2185 ) ),
    inference(split,[status(esa)],[zip_derived_cl3492]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp50
    | ( c1_1 @ a2231 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl600,plain,
    ( ( c1_1 @ a2231 )
   <= ( c1_1 @ a2231 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl332_069,plain,
    ( ! [X22: $i] :
        ( ~ ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ~ ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl3165,plain,
    ( ( ~ ( c2_1 @ a2231 )
      | ( c3_1 @ a2231 ) )
   <= ( ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
      & ( c1_1 @ a2231 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl600,zip_derived_cl332]) ).

thf('95',plain,
    ( ~ ( c2_1 @ a2231 )
    | ~ ( c1_1 @ a2231 )
    | ~ ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
    | ( c3_1 @ a2231 ) ),
    inference(split,[status(esa)],[zip_derived_cl3165]) ).

thf(zip_derived_cl600_070,plain,
    ( ( c1_1 @ a2231 )
   <= ( c1_1 @ a2231 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl339_071,plain,
    ( ! [X24: $i] :
        ( ~ ( c1_1 @ X24 )
        | ( c0_1 @ X24 )
        | ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ~ ( c1_1 @ X24 )
        | ( c0_1 @ X24 )
        | ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl3166,plain,
    ( ( ( c0_1 @ a2231 )
      | ( c3_1 @ a2231 ) )
   <= ( ! [X24: $i] :
          ( ~ ( c1_1 @ X24 )
          | ( c0_1 @ X24 )
          | ( c3_1 @ X24 ) )
      & ( c1_1 @ a2231 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl600,zip_derived_cl339]) ).

thf('96',plain,
    ( ~ ( c1_1 @ a2231 )
    | ( c3_1 @ a2231 )
    | ~ ! [X24: $i] :
          ( ~ ( c1_1 @ X24 )
          | ( c0_1 @ X24 )
          | ( c3_1 @ X24 ) )
    | ( c0_1 @ a2231 ) ),
    inference(split,[status(esa)],[zip_derived_cl3166]) ).

thf('97',plain,
    ( ( c1_1 @ a2231 )
    | ~ hskp50 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl2155_072,plain,
    ( ( c0_1 @ a2239 )
   <= ( ~ ( c3_1 @ a2239 )
      & ! [X17: $i] :
          ( ( c0_1 @ X17 )
          | ( c1_1 @ X17 )
          | ( c3_1 @ X17 ) )
      & ! [X24: $i] :
          ( ~ ( c1_1 @ X24 )
          | ( c0_1 @ X24 )
          | ( c3_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1185,zip_derived_cl832]) ).

thf(zip_derived_cl1010_073,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1008]) ).

thf(zip_derived_cl304,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl328_074,plain,
    ( ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1041,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl328]) ).

thf(zip_derived_cl1045,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1041]) ).

thf(zip_derived_cl1051,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
      & ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1010,zip_derived_cl1045]) ).

thf(zip_derived_cl1052,plain,
    ( ! [X0: $i] :
        ~ ( c0_1 @ X0 )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
      & ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1051]) ).

thf('98',plain,
    ( ~ ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ( c3_1 @ a2239 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
    | ~ ! [X24: $i] :
          ( ~ ( c1_1 @ X24 )
          | ( c0_1 @ X24 )
          | ( c3_1 @ X24 ) )
    | ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
    | ~ ! [X17: $i] :
          ( ( c0_1 @ X17 )
          | ( c1_1 @ X17 )
          | ( c3_1 @ X17 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2155,zip_derived_cl1052]) ).

thf(zip_derived_cl820_075,plain,
    ( ( c0_1 @ a2244 )
   <= ( c0_1 @ a2244 ) ),
    inference(split,[status(esa)],[zip_derived_cl205]) ).

thf(zip_derived_cl1052_076,plain,
    ( ! [X0: $i] :
        ~ ( c0_1 @ X0 )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
      & ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1051]) ).

thf('99',plain,
    ( ~ ( c0_1 @ a2244 )
    | ~ ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
    | ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl820,zip_derived_cl1052]) ).

thf(zip_derived_cl66,plain,
    ( ~ hskp57
    | ( c0_1 @ a2243 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl542,plain,
    ( ( c0_1 @ a2243 )
   <= ( c0_1 @ a2243 ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl1052_077,plain,
    ( ! [X0: $i] :
        ~ ( c0_1 @ X0 )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
      & ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1051]) ).

thf('100',plain,
    ( ~ ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ( c0_1 @ a2243 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
    | ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl1052]) ).

thf(zip_derived_cl28,plain,
    ! [X52: $i] :
      ( hskp16
      | hskp17
      | ( c0_1 @ X52 )
      | ~ ( c2_1 @ X52 )
      | ( c1_1 @ X52 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( hskp17
    | ! [X5: $i] :
        ( ~ ( c2_1 @ X5 )
        | ( c0_1 @ X5 )
        | ( c1_1 @ X5 ) )
    | hskp16
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl678_078,plain,
    ( ~ ( c1_1 @ a2204 )
   <= ~ ( c1_1 @ a2204 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl10,plain,
    ! [X23: $i] :
      ( hskp23
      | hskp24
      | ~ ( c0_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ( c1_1 @ X23 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl335,plain,
    ( ! [X23: $i] :
        ( ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 )
        | ( c1_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 )
        | ( c1_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1795,plain,
    ( ( ~ ( c0_1 @ a2204 )
      | ~ ( c3_1 @ a2204 ) )
   <= ( ~ ( c1_1 @ a2204 )
      & ! [X23: $i] :
          ( ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 )
          | ( c1_1 @ X23 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl678,zip_derived_cl335]) ).

thf('102',plain,
    ( ~ ( c0_1 @ a2204 )
    | ( c1_1 @ a2204 )
    | ~ ! [X23: $i] :
          ( ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 )
          | ( c1_1 @ X23 ) )
    | ~ ( c3_1 @ a2204 ) ),
    inference(split,[status(esa)],[zip_derived_cl1795]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp40
    | ( c2_1 @ a2204 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('103',plain,
    ( ( c2_1 @ a2204 )
    | ~ hskp40 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf('104',plain,
    ( ~ ( c1_1 @ a2204 )
    | ~ hskp40 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf('105',plain,
    ( ( c3_1 @ a2204 )
    | ~ hskp40 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf('106',plain,
    ( ! [X3: $i] :
        ( ~ ( c3_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ( c0_1 @ X3 ) )
    | hskp40
    | ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl74,plain,
    ( ~ hskp55
    | ( c0_1 @ a2241 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( ( c0_1 @ a2241 )
    | ~ hskp55 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp54
    | ( c0_1 @ a2240 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl568,plain,
    ( ( c0_1 @ a2240 )
   <= ( c0_1 @ a2240 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl1052_079,plain,
    ( ! [X0: $i] :
        ~ ( c0_1 @ X0 )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
      & ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1051]) ).

thf('108',plain,
    ( ~ ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
    | ~ ( c0_1 @ a2240 )
    | ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl568,zip_derived_cl1052]) ).

thf(zip_derived_cl558,plain,
    ( ( c0_1 @ a2241 )
   <= ( c0_1 @ a2241 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl1052_080,plain,
    ( ! [X0: $i] :
        ~ ( c0_1 @ X0 )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
      & ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1051]) ).

thf('109',plain,
    ( ~ ( c0_1 @ a2241 )
    | ~ ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl558,zip_derived_cl1052]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp44
    | ~ ( c0_1 @ a2215 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('110',plain,
    ( ~ ( c0_1 @ a2215 )
    | ~ hskp44 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp44
    | ( c1_1 @ a2215 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('111',plain,
    ( ( c1_1 @ a2215 )
    | ~ hskp44 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl648,plain,
    ( ( c1_1 @ a2215 )
   <= ( c1_1 @ a2215 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl374_081,plain,
    ( ! [X39: $i] :
        ( ~ ( c1_1 @ X39 )
        | ( c0_1 @ X39 )
        | ~ ( c2_1 @ X39 ) )
   <= ! [X39: $i] :
        ( ~ ( c1_1 @ X39 )
        | ( c0_1 @ X39 )
        | ~ ( c2_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl3288,plain,
    ( ( ( c0_1 @ a2215 )
      | ~ ( c2_1 @ a2215 ) )
   <= ( ! [X39: $i] :
          ( ~ ( c1_1 @ X39 )
          | ( c0_1 @ X39 )
          | ~ ( c2_1 @ X39 ) )
      & ( c1_1 @ a2215 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl374]) ).

thf('112',plain,
    ( ~ ! [X39: $i] :
          ( ~ ( c1_1 @ X39 )
          | ( c0_1 @ X39 )
          | ~ ( c2_1 @ X39 ) )
    | ~ ( c2_1 @ a2215 )
    | ~ ( c1_1 @ a2215 )
    | ( c0_1 @ a2215 ) ),
    inference(split,[status(esa)],[zip_derived_cl3288]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp52
    | ( c3_1 @ a2234 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl582,plain,
    ( ( c3_1 @ a2234 )
   <= ( c3_1 @ a2234 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl328_082,plain,
    ( ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl3110,plain,
    ( ( ~ ( c2_1 @ a2234 )
      | ~ ( c0_1 @ a2234 ) )
   <= ( ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ( c3_1 @ a2234 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl328]) ).

thf('113',plain,
    ( ~ ( c2_1 @ a2234 )
    | ~ ( c3_1 @ a2234 )
    | ~ ( c0_1 @ a2234 )
    | ~ ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3110]) ).

thf('114',plain,
    ( ( c3_1 @ a2234 )
    | ~ hskp52 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp52
    | ( c2_1 @ a2234 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('115',plain,
    ( ~ hskp52
    | ( c2_1 @ a2234 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl582_083,plain,
    ( ( c3_1 @ a2234 )
   <= ( c3_1 @ a2234 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl300_084,plain,
    ( ! [X3: $i] :
        ( ~ ( c3_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ( c0_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c3_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ( c0_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl3108,plain,
    ( ( ~ ( c2_1 @ a2234 )
      | ( c0_1 @ a2234 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c3_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ( c0_1 @ X3 ) )
      & ( c3_1 @ a2234 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl300]) ).

thf('116',plain,
    ( ~ ( c2_1 @ a2234 )
    | ~ ( c3_1 @ a2234 )
    | ( c0_1 @ a2234 )
    | ~ ! [X3: $i] :
          ( ~ ( c3_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ( c0_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3108]) ).

thf(zip_derived_cl32,plain,
    ! [X58: $i,X59: $i] :
      ( hskp44
      | ~ ( c3_1 @ X58 )
      | ( c2_1 @ X58 )
      | ~ ( c0_1 @ X58 )
      | ~ ndr1_0
      | ( c1_1 @ X59 )
      | ~ ( c3_1 @ X59 )
      | ~ ( c0_1 @ X59 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('117',plain,
    ( hskp44
    | ! [X23: $i] :
        ( ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 )
        | ( c1_1 @ X23 ) )
    | ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl566_085,plain,
    ( ( c3_1 @ a2240 )
   <= ( c3_1 @ a2240 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl301_086,plain,
    ( ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl3056,plain,
    ( ( ( c2_1 @ a2240 )
      | ~ ( c0_1 @ a2240 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ( c3_1 @ a2240 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl566,zip_derived_cl301]) ).

thf('118',plain,
    ( ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
    | ( c2_1 @ a2240 )
    | ~ ( c3_1 @ a2240 )
    | ~ ( c0_1 @ a2240 ) ),
    inference(split,[status(esa)],[zip_derived_cl3056]) ).

thf(zip_derived_cl566_087,plain,
    ( ( c3_1 @ a2240 )
   <= ( c3_1 @ a2240 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl328_088,plain,
    ( ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl3059,plain,
    ( ( ~ ( c2_1 @ a2240 )
      | ~ ( c0_1 @ a2240 ) )
   <= ( ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ( c3_1 @ a2240 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl566,zip_derived_cl328]) ).

thf('119',plain,
    ( ~ ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ( c2_1 @ a2240 )
    | ~ ( c0_1 @ a2240 )
    | ~ ( c3_1 @ a2240 ) ),
    inference(split,[status(esa)],[zip_derived_cl3059]) ).

thf('120',plain,
    ( hskp51
    | hskp50
    | ~ ndr1_0
    | ! [X39: $i] :
        ( ~ ( c1_1 @ X39 )
        | ( c0_1 @ X39 )
        | ~ ( c2_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl13,plain,
    ( hskp21
    | hskp54
    | hskp55 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('121',plain,
    ( hskp21
    | hskp54
    | hskp55 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp44
    | ( c2_1 @ a2215 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( ( c2_1 @ a2215 )
    | ~ hskp44 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp55
    | ( c2_1 @ a2241 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( ( c2_1 @ a2241 )
    | ~ hskp55 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl648_089,plain,
    ( ( c1_1 @ a2215 )
   <= ( c1_1 @ a2215 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl332_090,plain,
    ( ! [X22: $i] :
        ( ~ ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ~ ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl3282,plain,
    ( ( ~ ( c2_1 @ a2215 )
      | ( c3_1 @ a2215 ) )
   <= ( ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
      & ( c1_1 @ a2215 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl332]) ).

thf(zip_derived_cl13400,plain,
    ( ( c3_1 @ a2215 )
   <= ( c3_1 @ a2215 ) ),
    inference(split,[status(esa)],[zip_derived_cl3282]) ).

thf(zip_derived_cl300_091,plain,
    ( ! [X3: $i] :
        ( ~ ( c3_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ( c0_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c3_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ( c0_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl13424,plain,
    ( ( ~ ( c2_1 @ a2215 )
      | ( c0_1 @ a2215 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c3_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ( c0_1 @ X3 ) )
      & ( c3_1 @ a2215 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13400,zip_derived_cl300]) ).

thf('124',plain,
    ( ~ ( c3_1 @ a2215 )
    | ~ ! [X3: $i] :
          ( ~ ( c3_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ( c0_1 @ X3 ) )
    | ~ ( c2_1 @ a2215 )
    | ( c0_1 @ a2215 ) ),
    inference(split,[status(esa)],[zip_derived_cl13424]) ).

thf(zip_derived_cl13400_092,plain,
    ( ( c3_1 @ a2215 )
   <= ( c3_1 @ a2215 ) ),
    inference(split,[status(esa)],[zip_derived_cl3282]) ).

thf(zip_derived_cl328_093,plain,
    ( ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl13426,plain,
    ( ( ~ ( c2_1 @ a2215 )
      | ~ ( c0_1 @ a2215 ) )
   <= ( ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ( c3_1 @ a2215 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13400,zip_derived_cl328]) ).

thf('125',plain,
    ( ~ ( c3_1 @ a2215 )
    | ~ ( c0_1 @ a2215 )
    | ~ ( c2_1 @ a2215 )
    | ~ ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13426]) ).

thf(zip_derived_cl648_094,plain,
    ( ( c1_1 @ a2215 )
   <= ( c1_1 @ a2215 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl355_095,plain,
    ( ! [X29: $i] :
        ( ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl3285,plain,
    ( ( ~ ( c3_1 @ a2215 )
      | ~ ( c2_1 @ a2215 ) )
   <= ( ! [X29: $i] :
          ( ~ ( c1_1 @ X29 )
          | ~ ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
      & ( c1_1 @ a2215 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl355]) ).

thf(zip_derived_cl8463,plain,
    ( ~ ( c3_1 @ a2215 )
   <= ~ ( c3_1 @ a2215 ) ),
    inference(split,[status(esa)],[zip_derived_cl3285]) ).

thf(zip_derived_cl304_096,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl8480,plain,
    ( ( ~ ( c0_1 @ a2215 )
      | ~ ( c2_1 @ a2215 ) )
   <= ( ~ ( c3_1 @ a2215 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl8463,zip_derived_cl304]) ).

thf('126',plain,
    ( ~ ( c0_1 @ a2215 )
    | ( c3_1 @ a2215 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c2_1 @ a2215 ) ),
    inference(split,[status(esa)],[zip_derived_cl8480]) ).

thf(zip_derived_cl8463_097,plain,
    ( ~ ( c3_1 @ a2215 )
   <= ~ ( c3_1 @ a2215 ) ),
    inference(split,[status(esa)],[zip_derived_cl3285]) ).

thf(zip_derived_cl309_098,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_cl3]) ).

thf(zip_derived_cl8481,plain,
    ( ( ( c0_1 @ a2215 )
      | ~ ( c2_1 @ a2215 ) )
   <= ( ~ ( c3_1 @ a2215 )
      & ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl8463,zip_derived_cl309]) ).

thf('127',plain,
    ( ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
    | ( c3_1 @ a2215 )
    | ~ ( c2_1 @ a2215 )
    | ( c0_1 @ a2215 ) ),
    inference(split,[status(esa)],[zip_derived_cl8481]) ).

thf(zip_derived_cl13286,plain,
    ( ( c3_1 @ a2241 )
   <= ( c3_1 @ a2241 ) ),
    inference(split,[status(esa)],[zip_derived_cl3016]) ).

thf(zip_derived_cl300_099,plain,
    ( ! [X3: $i] :
        ( ~ ( c3_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ( c0_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c3_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ( c0_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl13310,plain,
    ( ( ~ ( c2_1 @ a2241 )
      | ( c0_1 @ a2241 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c3_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ( c0_1 @ X3 ) )
      & ( c3_1 @ a2241 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13286,zip_derived_cl300]) ).

thf('128',plain,
    ( ~ ( c3_1 @ a2241 )
    | ~ ( c2_1 @ a2241 )
    | ~ ! [X3: $i] :
          ( ~ ( c3_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ( c0_1 @ X3 ) )
    | ( c0_1 @ a2241 ) ),
    inference(split,[status(esa)],[zip_derived_cl13310]) ).

thf(zip_derived_cl556_100,plain,
    ( ( c1_1 @ a2241 )
   <= ( c1_1 @ a2241 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl355_101,plain,
    ( ! [X29: $i] :
        ( ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl3019,plain,
    ( ( ~ ( c3_1 @ a2241 )
      | ~ ( c2_1 @ a2241 ) )
   <= ( ! [X29: $i] :
          ( ~ ( c1_1 @ X29 )
          | ~ ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
      & ( c1_1 @ a2241 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl556,zip_derived_cl355]) ).

thf(zip_derived_cl7579,plain,
    ( ~ ( c3_1 @ a2241 )
   <= ~ ( c3_1 @ a2241 ) ),
    inference(split,[status(esa)],[zip_derived_cl3019]) ).

thf(zip_derived_cl304_102,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl7596,plain,
    ( ( ~ ( c0_1 @ a2241 )
      | ~ ( c2_1 @ a2241 ) )
   <= ( ~ ( c3_1 @ a2241 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl7579,zip_derived_cl304]) ).

thf('129',plain,
    ( ( c3_1 @ a2241 )
    | ~ ( c0_1 @ a2241 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c2_1 @ a2241 ) ),
    inference(split,[status(esa)],[zip_derived_cl7596]) ).

thf(zip_derived_cl13286_103,plain,
    ( ( c3_1 @ a2241 )
   <= ( c3_1 @ a2241 ) ),
    inference(split,[status(esa)],[zip_derived_cl3016]) ).

thf(zip_derived_cl328_104,plain,
    ( ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl13312,plain,
    ( ( ~ ( c2_1 @ a2241 )
      | ~ ( c0_1 @ a2241 ) )
   <= ( ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ( c3_1 @ a2241 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13286,zip_derived_cl328]) ).

thf('130',plain,
    ( ~ ( c3_1 @ a2241 )
    | ~ ( c2_1 @ a2241 )
    | ~ ( c0_1 @ a2241 )
    | ~ ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13312]) ).

thf(zip_derived_cl7579_105,plain,
    ( ~ ( c3_1 @ a2241 )
   <= ~ ( c3_1 @ a2241 ) ),
    inference(split,[status(esa)],[zip_derived_cl3019]) ).

thf(zip_derived_cl309_106,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_cl3]) ).

thf(zip_derived_cl7597,plain,
    ( ( ( c0_1 @ a2241 )
      | ~ ( c2_1 @ a2241 ) )
   <= ( ~ ( c3_1 @ a2241 )
      & ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl7579,zip_derived_cl309]) ).

thf('131',plain,
    ( ( c3_1 @ a2241 )
    | ( c0_1 @ a2241 )
    | ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
    | ~ ( c2_1 @ a2241 ) ),
    inference(split,[status(esa)],[zip_derived_cl7597]) ).

thf(zip_derived_cl974_107,plain,
    ( ~ ( c1_1 @ a2190 )
   <= ~ ( c1_1 @ a2190 ) ),
    inference(split,[status(esa)],[zip_derived_cl282]) ).

thf(zip_derived_cl321_108,plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 )
        | ~ ( c2_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 )
        | ~ ( c2_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl2631,plain,
    ( ( ~ ( c3_1 @ a2190 )
      | ~ ( c2_1 @ a2190 ) )
   <= ( ~ ( c1_1 @ a2190 )
      & ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 )
          | ~ ( c2_1 @ X14 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl974,zip_derived_cl321]) ).

thf(zip_derived_cl7113,plain,
    ( ~ ( c3_1 @ a2190 )
   <= ~ ( c3_1 @ a2190 ) ),
    inference(split,[status(esa)],[zip_derived_cl2631]) ).

thf(zip_derived_cl309_109,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_cl3]) ).

thf(zip_derived_cl7130,plain,
    ( ( ( c0_1 @ a2190 )
      | ~ ( c2_1 @ a2190 ) )
   <= ( ~ ( c3_1 @ a2190 )
      & ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl7113,zip_derived_cl309]) ).

thf('132',plain,
    ( ( c3_1 @ a2190 )
    | ~ ( c2_1 @ a2190 )
    | ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
    | ( c0_1 @ a2190 ) ),
    inference(split,[status(esa)],[zip_derived_cl7130]) ).

thf(zip_derived_cl281,plain,
    ( ~ hskp3
    | ( c2_1 @ a2190 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('133',plain,
    ( ( c2_1 @ a2190 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl281]) ).

thf(zip_derived_cl283,plain,
    ( ~ hskp3
    | ~ ( c0_1 @ a2190 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('134',plain,
    ( ~ ( c0_1 @ a2190 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl283]) ).

thf(zip_derived_cl974_110,plain,
    ( ~ ( c1_1 @ a2190 )
   <= ~ ( c1_1 @ a2190 ) ),
    inference(split,[status(esa)],[zip_derived_cl282]) ).

thf(zip_derived_cl354_111,plain,
    ( ! [X30: $i] :
        ( ( c3_1 @ X30 )
        | ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c3_1 @ X30 )
        | ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl2636,plain,
    ( ( ( c3_1 @ a2190 )
      | ~ ( c0_1 @ a2190 ) )
   <= ( ~ ( c1_1 @ a2190 )
      & ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl974,zip_derived_cl354]) ).

thf(zip_derived_cl12914,plain,
    ( ( c3_1 @ a2190 )
   <= ( c3_1 @ a2190 ) ),
    inference(split,[status(esa)],[zip_derived_cl2636]) ).

thf(zip_derived_cl300_112,plain,
    ( ! [X3: $i] :
        ( ~ ( c3_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ( c0_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c3_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ( c0_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl12938,plain,
    ( ( ~ ( c2_1 @ a2190 )
      | ( c0_1 @ a2190 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c3_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ( c0_1 @ X3 ) )
      & ( c3_1 @ a2190 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12914,zip_derived_cl300]) ).

thf('135',plain,
    ( ~ ( c3_1 @ a2190 )
    | ~ ( c2_1 @ a2190 )
    | ~ ! [X3: $i] :
          ( ~ ( c3_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ( c0_1 @ X3 ) )
    | ( c0_1 @ a2190 ) ),
    inference(split,[status(esa)],[zip_derived_cl12938]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp50
    | ~ ( c3_1 @ a2231 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl596,plain,
    ( ~ ( c3_1 @ a2231 )
   <= ~ ( c3_1 @ a2231 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl304_113,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl1667,plain,
    ( ( ~ ( c0_1 @ a2231 )
      | ~ ( c2_1 @ a2231 ) )
   <= ( ~ ( c3_1 @ a2231 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl596,zip_derived_cl304]) ).

thf('136',plain,
    ( ( c3_1 @ a2231 )
    | ~ ( c0_1 @ a2231 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c2_1 @ a2231 ) ),
    inference(split,[status(esa)],[zip_derived_cl1667]) ).

thf('137',plain,
    ( ~ ( c3_1 @ a2231 )
    | ~ hskp50 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp50
    | ( c2_1 @ a2231 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( ( c2_1 @ a2231 )
    | ~ hskp50 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl596_114,plain,
    ( ~ ( c3_1 @ a2231 )
   <= ~ ( c3_1 @ a2231 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl309_115,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_cl3]) ).

thf(zip_derived_cl1668,plain,
    ( ( ( c0_1 @ a2231 )
      | ~ ( c2_1 @ a2231 ) )
   <= ( ~ ( c3_1 @ a2231 )
      & ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl596,zip_derived_cl309]) ).

thf('139',plain,
    ( ( c3_1 @ a2231 )
    | ~ ( c2_1 @ a2231 )
    | ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
    | ( c0_1 @ a2231 ) ),
    inference(split,[status(esa)],[zip_derived_cl1668]) ).

thf(zip_derived_cl247,plain,
    ( ~ hskp12
    | ~ ( c3_1 @ a2211 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl904,plain,
    ( ~ ( c3_1 @ a2211 )
   <= ~ ( c3_1 @ a2211 ) ),
    inference(split,[status(esa)],[zip_derived_cl247]) ).

thf(zip_derived_cl304_116,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl2377,plain,
    ( ( ~ ( c0_1 @ a2211 )
      | ~ ( c2_1 @ a2211 ) )
   <= ( ~ ( c3_1 @ a2211 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl904,zip_derived_cl304]) ).

thf('140',plain,
    ( ~ ( c0_1 @ a2211 )
    | ( c3_1 @ a2211 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c2_1 @ a2211 ) ),
    inference(split,[status(esa)],[zip_derived_cl2377]) ).

thf(zip_derived_cl245,plain,
    ( ~ hskp12
    | ( c2_1 @ a2211 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('141',plain,
    ( ( c2_1 @ a2211 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl245]) ).

thf('142',plain,
    ( ~ ( c3_1 @ a2211 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl247]) ).

thf(zip_derived_cl904_117,plain,
    ( ~ ( c3_1 @ a2211 )
   <= ~ ( c3_1 @ a2211 ) ),
    inference(split,[status(esa)],[zip_derived_cl247]) ).

thf(zip_derived_cl309_118,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_cl3]) ).

thf(zip_derived_cl2378,plain,
    ( ( ( c0_1 @ a2211 )
      | ~ ( c2_1 @ a2211 ) )
   <= ( ~ ( c3_1 @ a2211 )
      & ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl904,zip_derived_cl309]) ).

thf('143',plain,
    ( ( c0_1 @ a2211 )
    | ~ ( c2_1 @ a2211 )
    | ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
    | ( c3_1 @ a2211 ) ),
    inference(split,[status(esa)],[zip_derived_cl2378]) ).

thf(zip_derived_cl209,plain,
    ( ~ hskp21
    | ( c2_1 @ a2239 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('144',plain,
    ( ( c2_1 @ a2239 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl209]) ).

thf('145',plain,
    ( ~ ( c0_1 @ a2239 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl210]) ).

thf('146',plain,
    ( ~ ( c3_1 @ a2239 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl211]) ).

thf(zip_derived_cl832_119,plain,
    ( ~ ( c3_1 @ a2239 )
   <= ~ ( c3_1 @ a2239 ) ),
    inference(split,[status(esa)],[zip_derived_cl211]) ).

thf(zip_derived_cl309_120,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_cl3]) ).

thf(zip_derived_cl2152,plain,
    ( ( ( c0_1 @ a2239 )
      | ~ ( c2_1 @ a2239 ) )
   <= ( ~ ( c3_1 @ a2239 )
      & ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl832,zip_derived_cl309]) ).

thf('147',plain,
    ( ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
    | ~ ( c2_1 @ a2239 )
    | ( c3_1 @ a2239 )
    | ( c0_1 @ a2239 ) ),
    inference(split,[status(esa)],[zip_derived_cl2152]) ).

thf(zip_derived_cl250,plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a2209 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl910,plain,
    ( ~ ( c1_1 @ a2209 )
   <= ~ ( c1_1 @ a2209 ) ),
    inference(split,[status(esa)],[zip_derived_cl250]) ).

thf(zip_derived_cl335_121,plain,
    ( ! [X23: $i] :
        ( ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 )
        | ( c1_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 )
        | ( c1_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl2392,plain,
    ( ( ~ ( c0_1 @ a2209 )
      | ~ ( c3_1 @ a2209 ) )
   <= ( ~ ( c1_1 @ a2209 )
      & ! [X23: $i] :
          ( ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 )
          | ( c1_1 @ X23 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl910,zip_derived_cl335]) ).

thf('148',plain,
    ( ~ ( c3_1 @ a2209 )
    | ( c1_1 @ a2209 )
    | ~ ! [X23: $i] :
          ( ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 )
          | ( c1_1 @ X23 ) )
    | ~ ( c0_1 @ a2209 ) ),
    inference(split,[status(esa)],[zip_derived_cl2392]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp48
    | ( c2_1 @ a2228 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('149',plain,
    ( ( c2_1 @ a2228 )
    | ~ hskp48 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp48
    | ~ ( c0_1 @ a2228 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ~ hskp48
    | ~ ( c0_1 @ a2228 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp48
    | ( c3_1 @ a2228 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('151',plain,
    ( ( c3_1 @ a2228 )
    | ~ hskp48 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl614,plain,
    ( ( c3_1 @ a2228 )
   <= ( c3_1 @ a2228 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl300_122,plain,
    ( ! [X3: $i] :
        ( ~ ( c3_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ( c0_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c3_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ( c0_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl3193,plain,
    ( ( ~ ( c2_1 @ a2228 )
      | ( c0_1 @ a2228 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c3_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ( c0_1 @ X3 ) )
      & ( c3_1 @ a2228 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl300]) ).

thf('152',plain,
    ( ~ ( c3_1 @ a2228 )
    | ( c0_1 @ a2228 )
    | ~ ! [X3: $i] :
          ( ~ ( c3_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ( c0_1 @ X3 ) )
    | ~ ( c2_1 @ a2228 ) ),
    inference(split,[status(esa)],[zip_derived_cl3193]) ).

thf(zip_derived_cl540_123,plain,
    ( ( c1_1 @ a2243 )
   <= ( c1_1 @ a2243 ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl450_124,plain,
    ( ! [X71: $i] :
        ( ~ ( c0_1 @ X71 )
        | ~ ( c1_1 @ X71 )
        | ( c2_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ~ ( c0_1 @ X71 )
        | ~ ( c1_1 @ X71 )
        | ( c2_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl2927,plain,
    ( ( ~ ( c0_1 @ a2243 )
      | ( c2_1 @ a2243 ) )
   <= ( ! [X71: $i] :
          ( ~ ( c0_1 @ X71 )
          | ~ ( c1_1 @ X71 )
          | ( c2_1 @ X71 ) )
      & ( c1_1 @ a2243 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl450]) ).

thf('153',plain,
    ( ~ ! [X71: $i] :
          ( ~ ( c0_1 @ X71 )
          | ~ ( c1_1 @ X71 )
          | ( c2_1 @ X71 ) )
    | ~ ( c1_1 @ a2243 )
    | ~ ( c0_1 @ a2243 )
    | ( c2_1 @ a2243 ) ),
    inference(split,[status(esa)],[zip_derived_cl2927]) ).

thf(zip_derived_cl544_125,plain,
    ( ( c3_1 @ a2243 )
   <= ( c3_1 @ a2243 ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl328_126,plain,
    ( ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl2939,plain,
    ( ( ~ ( c2_1 @ a2243 )
      | ~ ( c0_1 @ a2243 ) )
   <= ( ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ( c3_1 @ a2243 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl544,zip_derived_cl328]) ).

thf('154',plain,
    ( ~ ( c2_1 @ a2243 )
    | ~ ( c0_1 @ a2243 )
    | ~ ( c3_1 @ a2243 )
    | ~ ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2939]) ).

thf(zip_derived_cl7488,plain,
    ( ~ ( c3_1 @ a2243 )
   <= ~ ( c3_1 @ a2243 ) ),
    inference(split,[status(esa)],[zip_derived_cl2922]) ).

thf(zip_derived_cl304_127,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl7520,plain,
    ( ( ~ ( c0_1 @ a2243 )
      | ~ ( c2_1 @ a2243 ) )
   <= ( ~ ( c3_1 @ a2243 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl7488,zip_derived_cl304]) ).

thf('155',plain,
    ( ( c3_1 @ a2243 )
    | ~ ( c0_1 @ a2243 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c2_1 @ a2243 ) ),
    inference(split,[status(esa)],[zip_derived_cl7520]) ).

thf('156',plain,
    ( ( c1_1 @ a2243 )
    | ~ hskp57 ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf('157',plain,
    ( ( c0_1 @ a2243 )
    | ~ hskp57 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf('158',plain,
    ( ( c3_1 @ a2243 )
    | ~ hskp57 ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf('159',plain,
    ( hskp57
    | hskp22
    | ! [X24: $i] :
        ( ~ ( c1_1 @ X24 )
        | ( c0_1 @ X24 )
        | ( c3_1 @ X24 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf('160',plain,
    ( ~ hskp22
    | ( c0_1 @ a2244 ) ),
    inference(split,[status(esa)],[zip_derived_cl205]) ).

thf(zip_derived_cl824_128,plain,
    ( ~ ( c1_1 @ a2244 )
   <= ~ ( c1_1 @ a2244 ) ),
    inference(split,[status(esa)],[zip_derived_cl207]) ).

thf(zip_derived_cl335_129,plain,
    ( ! [X23: $i] :
        ( ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 )
        | ( c1_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 )
        | ( c1_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl2121,plain,
    ( ( ~ ( c0_1 @ a2244 )
      | ~ ( c3_1 @ a2244 ) )
   <= ( ~ ( c1_1 @ a2244 )
      & ! [X23: $i] :
          ( ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 )
          | ( c1_1 @ X23 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl824,zip_derived_cl335]) ).

thf('161',plain,
    ( ( c1_1 @ a2244 )
    | ~ ( c3_1 @ a2244 )
    | ~ ! [X23: $i] :
          ( ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 )
          | ( c1_1 @ X23 ) )
    | ~ ( c0_1 @ a2244 ) ),
    inference(split,[status(esa)],[zip_derived_cl2121]) ).

thf('162',plain,
    ( ~ hskp22
    | ~ ( c2_1 @ a2244 ) ),
    inference(split,[status(esa)],[zip_derived_cl206]) ).

thf('163',plain,
    ( ~ hskp22
    | ~ ( c1_1 @ a2244 ) ),
    inference(split,[status(esa)],[zip_derived_cl207]) ).

thf(zip_derived_cl824_130,plain,
    ( ~ ( c1_1 @ a2244 )
   <= ~ ( c1_1 @ a2244 ) ),
    inference(split,[status(esa)],[zip_derived_cl207]) ).

thf(zip_derived_cl326_131,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_cl7]) ).

thf(zip_derived_cl2119,plain,
    ( ( ( c2_1 @ a2244 )
      | ( c3_1 @ a2244 ) )
   <= ( ~ ( c1_1 @ a2244 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ( c3_1 @ X16 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl824,zip_derived_cl326]) ).

thf('164',plain,
    ( ( c3_1 @ a2244 )
    | ( c1_1 @ a2244 )
    | ( c2_1 @ a2244 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ( c3_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2119]) ).

thf(zip_derived_cl728_132,plain,
    ( ( c3_1 @ a2189 )
   <= ( c3_1 @ a2189 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl300_133,plain,
    ( ! [X3: $i] :
        ( ~ ( c3_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ( c0_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c3_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ( c0_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl3468,plain,
    ( ( ~ ( c2_1 @ a2189 )
      | ( c0_1 @ a2189 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c3_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ( c0_1 @ X3 ) )
      & ( c3_1 @ a2189 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl300]) ).

thf('165',plain,
    ( ~ ( c2_1 @ a2189 )
    | ~ ( c3_1 @ a2189 )
    | ~ ! [X3: $i] :
          ( ~ ( c3_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ( c0_1 @ X3 ) )
    | ( c0_1 @ a2189 ) ),
    inference(split,[status(esa)],[zip_derived_cl3468]) ).

thf(zip_derived_cl726_134,plain,
    ( ( c1_1 @ a2189 )
   <= ( c1_1 @ a2189 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl351_135,plain,
    ( ! [X27: $i] :
        ( ~ ( c3_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ~ ( c3_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl3456,plain,
    ( ( ~ ( c3_1 @ a2189 )
      | ( c2_1 @ a2189 ) )
   <= ( ! [X27: $i] :
          ( ~ ( c3_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
      & ( c1_1 @ a2189 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl351]) ).

thf('166',plain,
    ( ( c2_1 @ a2189 )
    | ~ ( c1_1 @ a2189 )
    | ~ ! [X27: $i] :
          ( ~ ( c3_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
    | ~ ( c3_1 @ a2189 ) ),
    inference(split,[status(esa)],[zip_derived_cl3456]) ).

thf(zip_derived_cl540_136,plain,
    ( ( c1_1 @ a2243 )
   <= ( c1_1 @ a2243 ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl351_137,plain,
    ( ! [X27: $i] :
        ( ~ ( c3_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ~ ( c3_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl2921,plain,
    ( ( ~ ( c3_1 @ a2243 )
      | ( c2_1 @ a2243 ) )
   <= ( ! [X27: $i] :
          ( ~ ( c3_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
      & ( c1_1 @ a2243 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl351]) ).

thf('167',plain,
    ( ~ ! [X27: $i] :
          ( ~ ( c3_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
    | ( c2_1 @ a2243 )
    | ~ ( c1_1 @ a2243 )
    | ~ ( c3_1 @ a2243 ) ),
    inference(split,[status(esa)],[zip_derived_cl2921]) ).

thf(zip_derived_cl700_138,plain,
    ( ( c1_1 @ a2196 )
   <= ( c1_1 @ a2196 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl339_139,plain,
    ( ! [X24: $i] :
        ( ~ ( c1_1 @ X24 )
        | ( c0_1 @ X24 )
        | ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ~ ( c1_1 @ X24 )
        | ( c0_1 @ X24 )
        | ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl3389,plain,
    ( ( ( c0_1 @ a2196 )
      | ( c3_1 @ a2196 ) )
   <= ( ! [X24: $i] :
          ( ~ ( c1_1 @ X24 )
          | ( c0_1 @ X24 )
          | ( c3_1 @ X24 ) )
      & ( c1_1 @ a2196 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl700,zip_derived_cl339]) ).

thf('168',plain,
    ( ~ ! [X24: $i] :
          ( ~ ( c1_1 @ X24 )
          | ( c0_1 @ X24 )
          | ( c3_1 @ X24 ) )
    | ( c3_1 @ a2196 )
    | ( c0_1 @ a2196 )
    | ~ ( c1_1 @ a2196 ) ),
    inference(split,[status(esa)],[zip_derived_cl3389]) ).

thf(zip_derived_cl54,plain,
    ! [X96: $i] :
      ( hskp32
      | hskp2
      | ( c3_1 @ X96 )
      | ( c1_1 @ X96 )
      | ( c0_1 @ X96 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('169',plain,
    ( hskp32
    | hskp2
    | ! [X17: $i] :
        ( ( c0_1 @ X17 )
        | ( c1_1 @ X17 )
        | ( c3_1 @ X17 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf('170',plain,
    ( ~ ( c2_1 @ a2206 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl253]) ).

thf('171',plain,
    ( ~ ( c0_1 @ a2206 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl254]) ).

thf('172',plain,
    ( ~ ( c3_1 @ a2206 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl255]) ).

thf('173',plain,
    ( hskp10
    | ! [X27: $i] :
        ( ~ ( c3_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 ) )
    | ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl286,plain,
    ( ~ hskp2
    | ( c1_1 @ a2187 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl982,plain,
    ( ( c1_1 @ a2187 )
   <= ( c1_1 @ a2187 ) ),
    inference(split,[status(esa)],[zip_derived_cl286]) ).

thf(zip_derived_cl450_140,plain,
    ( ! [X71: $i] :
        ( ~ ( c0_1 @ X71 )
        | ~ ( c1_1 @ X71 )
        | ( c2_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ~ ( c0_1 @ X71 )
        | ~ ( c1_1 @ X71 )
        | ( c2_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl3820,plain,
    ( ( ~ ( c0_1 @ a2187 )
      | ( c2_1 @ a2187 ) )
   <= ( ! [X71: $i] :
          ( ~ ( c0_1 @ X71 )
          | ~ ( c1_1 @ X71 )
          | ( c2_1 @ X71 ) )
      & ( c1_1 @ a2187 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl982,zip_derived_cl450]) ).

thf('174',plain,
    ( ~ ( c0_1 @ a2187 )
    | ~ ( c1_1 @ a2187 )
    | ~ ! [X71: $i] :
          ( ~ ( c0_1 @ X71 )
          | ~ ( c1_1 @ X71 )
          | ( c2_1 @ X71 ) )
    | ( c2_1 @ a2187 ) ),
    inference(split,[status(esa)],[zip_derived_cl3820]) ).

thf(zip_derived_cl982_141,plain,
    ( ( c1_1 @ a2187 )
   <= ( c1_1 @ a2187 ) ),
    inference(split,[status(esa)],[zip_derived_cl286]) ).

thf(zip_derived_cl351_142,plain,
    ( ! [X27: $i] :
        ( ~ ( c3_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ~ ( c3_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl3814,plain,
    ( ( ~ ( c3_1 @ a2187 )
      | ( c2_1 @ a2187 ) )
   <= ( ! [X27: $i] :
          ( ~ ( c3_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
      & ( c1_1 @ a2187 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl982,zip_derived_cl351]) ).

thf('175',plain,
    ( ~ ( c3_1 @ a2187 )
    | ~ ( c1_1 @ a2187 )
    | ~ ! [X27: $i] :
          ( ~ ( c3_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
    | ( c2_1 @ a2187 ) ),
    inference(split,[status(esa)],[zip_derived_cl3814]) ).

thf(zip_derived_cl982_143,plain,
    ( ( c1_1 @ a2187 )
   <= ( c1_1 @ a2187 ) ),
    inference(split,[status(esa)],[zip_derived_cl286]) ).

thf(zip_derived_cl372_144,plain,
    ( ! [X36: $i] :
        ( ~ ( c3_1 @ X36 )
        | ~ ( c1_1 @ X36 )
        | ( c0_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ~ ( c3_1 @ X36 )
        | ~ ( c1_1 @ X36 )
        | ( c0_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl3816,plain,
    ( ( ~ ( c3_1 @ a2187 )
      | ( c0_1 @ a2187 ) )
   <= ( ! [X36: $i] :
          ( ~ ( c3_1 @ X36 )
          | ~ ( c1_1 @ X36 )
          | ( c0_1 @ X36 ) )
      & ( c1_1 @ a2187 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl982,zip_derived_cl372]) ).

thf('176',plain,
    ( ( c0_1 @ a2187 )
    | ~ ( c1_1 @ a2187 )
    | ~ ! [X36: $i] :
          ( ~ ( c3_1 @ X36 )
          | ~ ( c1_1 @ X36 )
          | ( c0_1 @ X36 ) )
    | ~ ( c3_1 @ a2187 ) ),
    inference(split,[status(esa)],[zip_derived_cl3816]) ).

thf(zip_derived_cl326_145,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_cl7]) ).

thf(zip_derived_cl329_146,plain,
    ( ! [X20: $i] :
        ( ( c0_1 @ X20 )
        | ( c2_1 @ X20 )
        | ~ ( c1_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c0_1 @ X20 )
        | ( c2_1 @ X20 )
        | ~ ( c1_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1064,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ( c3_1 @ X16 ) )
      & ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl329]) ).

thf(zip_derived_cl1069,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ( c3_1 @ X16 ) )
      & ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1064]) ).

thf(zip_derived_cl920_147,plain,
    ( ~ ( c3_1 @ a2206 )
   <= ~ ( c3_1 @ a2206 ) ),
    inference(split,[status(esa)],[zip_derived_cl255]) ).

thf(zip_derived_cl3843,plain,
    ( ( ( c2_1 @ a2206 )
      | ( c0_1 @ a2206 ) )
   <= ( ~ ( c3_1 @ a2206 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ( c3_1 @ X16 ) )
      & ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1069,zip_derived_cl920]) ).

thf('177',plain,
    ( ( c2_1 @ a2206 )
    | ( c0_1 @ a2206 )
    | ~ ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ( c3_1 @ X16 ) )
    | ( c3_1 @ a2206 ) ),
    inference(split,[status(esa)],[zip_derived_cl3843]) ).

thf(zip_derived_cl59,plain,
    ! [X102: $i,X103: $i] :
      ( hskp26
      | ( c0_1 @ X102 )
      | ( c1_1 @ X102 )
      | ~ ( c2_1 @ X102 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X103 )
      | ~ ( c3_1 @ X103 )
      | ( c0_1 @ X103 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('178',plain,
    ( ! [X36: $i] :
        ( ~ ( c3_1 @ X36 )
        | ~ ( c1_1 @ X36 )
        | ( c0_1 @ X36 ) )
    | hskp26
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ~ ( c2_1 @ X5 )
        | ( c0_1 @ X5 )
        | ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl218,plain,
    ( ~ hskp19
    | ~ ( c1_1 @ a2233 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl846,plain,
    ( ~ ( c1_1 @ a2233 )
   <= ~ ( c1_1 @ a2233 ) ),
    inference(split,[status(esa)],[zip_derived_cl218]) ).

thf(zip_derived_cl305_148,plain,
    ( ! [X5: $i] :
        ( ~ ( c2_1 @ X5 )
        | ( c0_1 @ X5 )
        | ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ~ ( c2_1 @ X5 )
        | ( c0_1 @ X5 )
        | ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl2186,plain,
    ( ( ~ ( c2_1 @ a2233 )
      | ( c0_1 @ a2233 ) )
   <= ( ~ ( c1_1 @ a2233 )
      & ! [X5: $i] :
          ( ~ ( c2_1 @ X5 )
          | ( c0_1 @ X5 )
          | ( c1_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl846,zip_derived_cl305]) ).

thf('179',plain,
    ( ~ ( c2_1 @ a2233 )
    | ( c1_1 @ a2233 )
    | ~ ! [X5: $i] :
          ( ~ ( c2_1 @ X5 )
          | ( c0_1 @ X5 )
          | ( c1_1 @ X5 ) )
    | ( c0_1 @ a2233 ) ),
    inference(split,[status(esa)],[zip_derived_cl2186]) ).

thf(zip_derived_cl846_149,plain,
    ( ~ ( c1_1 @ a2233 )
   <= ~ ( c1_1 @ a2233 ) ),
    inference(split,[status(esa)],[zip_derived_cl218]) ).

thf(zip_derived_cl326_150,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_cl7]) ).

thf(zip_derived_cl2189,plain,
    ( ( ( c2_1 @ a2233 )
      | ( c3_1 @ a2233 ) )
   <= ( ~ ( c1_1 @ a2233 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ( c3_1 @ X16 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl846,zip_derived_cl326]) ).

thf('180',plain,
    ( ( c2_1 @ a2233 )
    | ( c3_1 @ a2233 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ( c3_1 @ X16 ) )
    | ( c1_1 @ a2233 ) ),
    inference(split,[status(esa)],[zip_derived_cl2189]) ).

thf('181',plain,
    ( ( c1_1 @ a2185 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf('182',plain,
    ( ~ ( c2_1 @ a2185 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf('183',plain,
    ( ( c3_1 @ a2185 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl27,plain,
    ! [X51: $i] :
      ( hskp18
      | ~ ( c1_1 @ X51 )
      | ~ ( c2_1 @ X51 )
      | ( c3_1 @ X51 )
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('184',plain,
    ( hskp31
    | hskp18
    | ~ ndr1_0
    | ! [X22: $i] :
        ( ~ ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl22,plain,
    ! [X41: $i,X42: $i] :
      ( ~ ( c1_1 @ X41 )
      | ~ ( c3_1 @ X41 )
      | ( c0_1 @ X41 )
      | ~ ndr1_0
      | ~ ( c2_1 @ X42 )
      | ( c0_1 @ X42 )
      | ~ ( c1_1 @ X42 )
      | ~ ndr1_0
      | hskp48 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('185',plain,
    ( ! [X36: $i] :
        ( ~ ( c3_1 @ X36 )
        | ~ ( c1_1 @ X36 )
        | ( c0_1 @ X36 ) )
    | ! [X39: $i] :
        ( ~ ( c1_1 @ X39 )
        | ( c0_1 @ X39 )
        | ~ ( c2_1 @ X39 ) )
    | ~ ndr1_0
    | hskp48 ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl700_151,plain,
    ( ( c1_1 @ a2196 )
   <= ( c1_1 @ a2196 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl332_152,plain,
    ( ! [X22: $i] :
        ( ~ ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ~ ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl3388,plain,
    ( ( ~ ( c2_1 @ a2196 )
      | ( c3_1 @ a2196 ) )
   <= ( ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
      & ( c1_1 @ a2196 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl700,zip_derived_cl332]) ).

thf('186',plain,
    ( ~ ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
    | ( c3_1 @ a2196 )
    | ~ ( c2_1 @ a2196 )
    | ~ ( c1_1 @ a2196 ) ),
    inference(split,[status(esa)],[zip_derived_cl3388]) ).

thf(zip_derived_cl13573,plain,
    ( ( c3_1 @ a2196 )
   <= ( c3_1 @ a2196 ) ),
    inference(split,[status(esa)],[zip_derived_cl3388]) ).

thf(zip_derived_cl300_153,plain,
    ( ! [X3: $i] :
        ( ~ ( c3_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ( c0_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c3_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ( c0_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl13597,plain,
    ( ( ~ ( c2_1 @ a2196 )
      | ( c0_1 @ a2196 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c3_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ( c0_1 @ X3 ) )
      & ( c3_1 @ a2196 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13573,zip_derived_cl300]) ).

thf('187',plain,
    ( ~ ( c3_1 @ a2196 )
    | ~ ! [X3: $i] :
          ( ~ ( c3_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ( c0_1 @ X3 ) )
    | ~ ( c2_1 @ a2196 )
    | ( c0_1 @ a2196 ) ),
    inference(split,[status(esa)],[zip_derived_cl13597]) ).

thf(zip_derived_cl700_154,plain,
    ( ( c1_1 @ a2196 )
   <= ( c1_1 @ a2196 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl374_155,plain,
    ( ! [X39: $i] :
        ( ~ ( c1_1 @ X39 )
        | ( c0_1 @ X39 )
        | ~ ( c2_1 @ X39 ) )
   <= ! [X39: $i] :
        ( ~ ( c1_1 @ X39 )
        | ( c0_1 @ X39 )
        | ~ ( c2_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl3394,plain,
    ( ( ( c0_1 @ a2196 )
      | ~ ( c2_1 @ a2196 ) )
   <= ( ! [X39: $i] :
          ( ~ ( c1_1 @ X39 )
          | ( c0_1 @ X39 )
          | ~ ( c2_1 @ X39 ) )
      & ( c1_1 @ a2196 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl700,zip_derived_cl374]) ).

thf('188',plain,
    ( ~ ! [X39: $i] :
          ( ~ ( c1_1 @ X39 )
          | ( c0_1 @ X39 )
          | ~ ( c2_1 @ X39 ) )
    | ~ ( c1_1 @ a2196 )
    | ~ ( c2_1 @ a2196 )
    | ( c0_1 @ a2196 ) ),
    inference(split,[status(esa)],[zip_derived_cl3394]) ).

thf('189',plain,
    ( ( c1_1 @ a2196 )
    | ~ hskp37 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp37
    | ~ ( c0_1 @ a2196 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('190',plain,
    ( ~ ( c0_1 @ a2196 )
    | ~ hskp37 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp37
    | ( c2_1 @ a2196 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('191',plain,
    ( ( c2_1 @ a2196 )
    | ~ hskp37 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl46,plain,
    ! [X84: $i] :
      ( ( c2_1 @ X84 )
      | ( c3_1 @ X84 )
      | ~ ( c0_1 @ X84 )
      | ~ ndr1_0
      | hskp7
      | hskp37 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('192',plain,
    ( hskp37
    | hskp7
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ( c2_1 @ X4 )
        | ~ ( c0_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl38,plain,
    ! [X69: $i] :
      ( ( c1_1 @ X69 )
      | ( c3_1 @ X69 )
      | ( c0_1 @ X69 )
      | ~ ndr1_0
      | hskp42
      | hskp43 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('193',plain,
    ( hskp43
    | hskp42
    | ! [X17: $i] :
        ( ( c0_1 @ X17 )
        | ( c1_1 @ X17 )
        | ( c3_1 @ X17 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp43
    | ( c0_1 @ a2208 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl656,plain,
    ( ( c0_1 @ a2208 )
   <= ( c0_1 @ a2208 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl1052_156,plain,
    ( ! [X0: $i] :
        ~ ( c0_1 @ X0 )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
      & ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1051]) ).

thf('194',plain,
    ( ~ ( c0_1 @ a2208 )
    | ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl656,zip_derived_cl1052]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp42
    | ~ ( c3_1 @ a2207 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl662,plain,
    ( ~ ( c3_1 @ a2207 )
   <= ~ ( c3_1 @ a2207 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl304_157,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl1765,plain,
    ( ( ~ ( c0_1 @ a2207 )
      | ~ ( c2_1 @ a2207 ) )
   <= ( ~ ( c3_1 @ a2207 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl662,zip_derived_cl304]) ).

thf('195',plain,
    ( ( c3_1 @ a2207 )
    | ~ ( c2_1 @ a2207 )
    | ~ ( c0_1 @ a2207 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1765]) ).

thf('196',plain,
    ( ~ ( c3_1 @ a2207 )
    | ~ hskp42 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp42
    | ( c0_1 @ a2207 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('197',plain,
    ( ~ hskp42
    | ( c0_1 @ a2207 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl662_158,plain,
    ( ~ ( c3_1 @ a2207 )
   <= ~ ( c3_1 @ a2207 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl306_159,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ( c2_1 @ X4 )
        | ~ ( c0_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ( c2_1 @ X4 )
        | ~ ( c0_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl1764,plain,
    ( ( ( c2_1 @ a2207 )
      | ~ ( c0_1 @ a2207 ) )
   <= ( ~ ( c3_1 @ a2207 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl662,zip_derived_cl306]) ).

thf('198',plain,
    ( ( c3_1 @ a2207 )
    | ( c2_1 @ a2207 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
    | ~ ( c0_1 @ a2207 ) ),
    inference(split,[status(esa)],[zip_derived_cl1764]) ).

thf('199',plain,
    ( ~ hskp43
    | ( c0_1 @ a2208 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl752_160,plain,
    ( ( c3_1 @ a2185 )
   <= ( c3_1 @ a2185 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl301_161,plain,
    ( ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl3503,plain,
    ( ( ( c2_1 @ a2185 )
      | ~ ( c0_1 @ a2185 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ( c3_1 @ a2185 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl752,zip_derived_cl301]) ).

thf('200',plain,
    ( ~ ( c0_1 @ a2185 )
    | ( c2_1 @ a2185 )
    | ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
    | ~ ( c3_1 @ a2185 ) ),
    inference(split,[status(esa)],[zip_derived_cl3503]) ).

thf(zip_derived_cl217,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a2233 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('201',plain,
    ( ~ ( c0_1 @ a2233 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl217]) ).

thf('202',plain,
    ( ~ ( c1_1 @ a2233 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl218]) ).

thf(zip_derived_cl219,plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a2233 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('203',plain,
    ( ~ ( c3_1 @ a2233 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl219]) ).

thf(zip_derived_cl18,plain,
    ! [X35: $i] :
      ( ( c3_1 @ X35 )
      | ~ ( c2_1 @ X35 )
      | ( c0_1 @ X35 )
      | ~ ndr1_0
      | hskp19
      | hskp52 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('204',plain,
    ( hskp19
    | hskp52
    | ~ ndr1_0
    | ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ( c0_1 @ X7 )
        | ~ ( c2_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl265,plain,
    ( ~ hskp7
    | ( c2_1 @ a2198 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('205',plain,
    ( ( c2_1 @ a2198 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl265]) ).

thf(zip_derived_cl266,plain,
    ( ~ hskp7
    | ( c0_1 @ a2198 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('206',plain,
    ( ( c0_1 @ a2198 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl266]) ).

thf('207',plain,
    ( ~ ( c3_1 @ a2198 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl267]) ).

thf(zip_derived_cl944_162,plain,
    ( ~ ( c3_1 @ a2198 )
   <= ~ ( c3_1 @ a2198 ) ),
    inference(split,[status(esa)],[zip_derived_cl267]) ).

thf(zip_derived_cl304_163,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl2521,plain,
    ( ( ~ ( c0_1 @ a2198 )
      | ~ ( c2_1 @ a2198 ) )
   <= ( ~ ( c3_1 @ a2198 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl944,zip_derived_cl304]) ).

thf('208',plain,
    ( ~ ( c2_1 @ a2198 )
    | ( c3_1 @ a2198 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c0_1 @ a2198 ) ),
    inference(split,[status(esa)],[zip_derived_cl2521]) ).

thf('209',plain,
    ( ~ ( c3_1 @ a2178 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp26
    | ( c0_1 @ a2178 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('210',plain,
    ( ( c0_1 @ a2178 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp26
    | ( c2_1 @ a2178 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('211',plain,
    ( ( c2_1 @ a2178 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl788_164,plain,
    ( ~ ( c3_1 @ a2178 )
   <= ~ ( c3_1 @ a2178 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl304_165,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl2038,plain,
    ( ( ~ ( c0_1 @ a2178 )
      | ~ ( c2_1 @ a2178 ) )
   <= ( ~ ( c3_1 @ a2178 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl788,zip_derived_cl304]) ).

thf('212',plain,
    ( ( c3_1 @ a2178 )
    | ~ ( c2_1 @ a2178 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c0_1 @ a2178 ) ),
    inference(split,[status(esa)],[zip_derived_cl2038]) ).

thf(zip_derived_cl678_166,plain,
    ( ~ ( c1_1 @ a2204 )
   <= ~ ( c1_1 @ a2204 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl305_167,plain,
    ( ! [X5: $i] :
        ( ~ ( c2_1 @ X5 )
        | ( c0_1 @ X5 )
        | ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ~ ( c2_1 @ X5 )
        | ( c0_1 @ X5 )
        | ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl1790,plain,
    ( ( ~ ( c2_1 @ a2204 )
      | ( c0_1 @ a2204 ) )
   <= ( ~ ( c1_1 @ a2204 )
      & ! [X5: $i] :
          ( ~ ( c2_1 @ X5 )
          | ( c0_1 @ X5 )
          | ( c1_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl678,zip_derived_cl305]) ).

thf('213',plain,
    ( ( c0_1 @ a2204 )
    | ( c1_1 @ a2204 )
    | ~ ! [X5: $i] :
          ( ~ ( c2_1 @ X5 )
          | ( c0_1 @ X5 )
          | ( c1_1 @ X5 ) )
    | ~ ( c2_1 @ a2204 ) ),
    inference(split,[status(esa)],[zip_derived_cl1790]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp45
    | ( c0_1 @ a2216 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('214',plain,
    ( ~ hskp45
    | ( c0_1 @ a2216 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp45
    | ( c2_1 @ a2216 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('215',plain,
    ( ~ hskp45
    | ( c2_1 @ a2216 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp45
    | ( c3_1 @ a2216 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('216',plain,
    ( ~ hskp45
    | ( c3_1 @ a2216 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl638,plain,
    ( ( c3_1 @ a2216 )
   <= ( c3_1 @ a2216 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl328_168,plain,
    ( ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl3261,plain,
    ( ( ~ ( c2_1 @ a2216 )
      | ~ ( c0_1 @ a2216 ) )
   <= ( ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ( c3_1 @ a2216 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl638,zip_derived_cl328]) ).

thf('217',plain,
    ( ~ ( c2_1 @ a2216 )
    | ~ ( c3_1 @ a2216 )
    | ~ ( c0_1 @ a2216 )
    | ~ ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3261]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp51
    | ( c3_1 @ a2232 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('218',plain,
    ( ( c3_1 @ a2232 )
    | ~ hskp51 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp51
    | ( c0_1 @ a2232 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('219',plain,
    ( ~ hskp51
    | ( c0_1 @ a2232 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp51
    | ( c2_1 @ a2232 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('220',plain,
    ( ~ hskp51
    | ( c2_1 @ a2232 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl590,plain,
    ( ( c3_1 @ a2232 )
   <= ( c3_1 @ a2232 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl328_169,plain,
    ( ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl3136,plain,
    ( ( ~ ( c2_1 @ a2232 )
      | ~ ( c0_1 @ a2232 ) )
   <= ( ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ( c3_1 @ a2232 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl590,zip_derived_cl328]) ).

thf('221',plain,
    ( ~ ( c2_1 @ a2232 )
    | ~ ( c3_1 @ a2232 )
    | ~ ( c0_1 @ a2232 )
    | ~ ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3136]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp53
    | ( c0_1 @ a2235 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('222',plain,
    ( ( c0_1 @ a2235 )
    | ~ hskp53 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp53
    | ( c3_1 @ a2235 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('223',plain,
    ( ( c3_1 @ a2235 )
    | ~ hskp53 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl576,plain,
    ( ( c3_1 @ a2235 )
   <= ( c3_1 @ a2235 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl328_170,plain,
    ( ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl3089,plain,
    ( ( ~ ( c2_1 @ a2235 )
      | ~ ( c0_1 @ a2235 ) )
   <= ( ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ( c3_1 @ a2235 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl328]) ).

thf('224',plain,
    ( ~ ( c2_1 @ a2235 )
    | ~ ! [X21: $i] :
          ( ~ ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ( c0_1 @ a2235 )
    | ~ ( c3_1 @ a2235 ) ),
    inference(split,[status(esa)],[zip_derived_cl3089]) ).

thf(zip_derived_cl285,plain,
    ( ~ hskp2
    | ( c3_1 @ a2187 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl980,plain,
    ( ( c3_1 @ a2187 )
   <= ( c3_1 @ a2187 ) ),
    inference(split,[status(esa)],[zip_derived_cl285]) ).

thf(zip_derived_cl330_171,plain,
    ( ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl3806,plain,
    ( ( ( c2_1 @ a2187 )
      | ( c0_1 @ a2187 ) )
   <= ( ! [X19: $i] :
          ( ( c2_1 @ X19 )
          | ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a2187 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl980,zip_derived_cl330]) ).

thf('225',plain,
    ( ( c0_1 @ a2187 )
    | ( c2_1 @ a2187 )
    | ~ ! [X19: $i] :
          ( ( c2_1 @ X19 )
          | ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c3_1 @ a2187 ) ),
    inference(split,[status(esa)],[zip_derived_cl3806]) ).

thf(zip_derived_cl982_172,plain,
    ( ( c1_1 @ a2187 )
   <= ( c1_1 @ a2187 ) ),
    inference(split,[status(esa)],[zip_derived_cl286]) ).

thf(zip_derived_cl329_173,plain,
    ( ! [X20: $i] :
        ( ( c0_1 @ X20 )
        | ( c2_1 @ X20 )
        | ~ ( c1_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c0_1 @ X20 )
        | ( c2_1 @ X20 )
        | ~ ( c1_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl3811,plain,
    ( ( ( c0_1 @ a2187 )
      | ( c2_1 @ a2187 ) )
   <= ( ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) )
      & ( c1_1 @ a2187 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl982,zip_derived_cl329]) ).

thf('226',plain,
    ( ( c0_1 @ a2187 )
    | ( c2_1 @ a2187 )
    | ~ ! [X20: $i] :
          ( ( c0_1 @ X20 )
          | ( c2_1 @ X20 )
          | ~ ( c1_1 @ X20 ) )
    | ~ ( c1_1 @ a2187 ) ),
    inference(split,[status(esa)],[zip_derived_cl3811]) ).

thf(zip_derived_cl980_174,plain,
    ( ( c3_1 @ a2187 )
   <= ( c3_1 @ a2187 ) ),
    inference(split,[status(esa)],[zip_derived_cl285]) ).

thf(zip_derived_cl301_175,plain,
    ( ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl3804,plain,
    ( ( ( c2_1 @ a2187 )
      | ~ ( c0_1 @ a2187 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ( c3_1 @ a2187 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl980,zip_derived_cl301]) ).

thf('227',plain,
    ( ~ ( c0_1 @ a2187 )
    | ~ ( c3_1 @ a2187 )
    | ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
    | ( c2_1 @ a2187 ) ),
    inference(split,[status(esa)],[zip_derived_cl3804]) ).

thf('228',plain,
    ( ( c3_1 @ a2187 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl285]) ).

thf('229',plain,
    ( ( c1_1 @ a2187 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl286]) ).

thf(zip_derived_cl287,plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a2187 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('230',plain,
    ( ~ ( c2_1 @ a2187 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl287]) ).

thf('231',plain,
    ( ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | ! [X20: $i] :
        ( ( c0_1 @ X20 )
        | ( c2_1 @ X20 )
        | ~ ( c1_1 @ X20 ) )
    | ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf('232',plain,
    ( ~ ( c3_1 @ a2188 )
    | ~ hskp33 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp33
    | ~ ( c2_1 @ a2188 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('233',plain,
    ( ~ ( c2_1 @ a2188 )
    | ~ hskp33 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf('234',plain,
    ( ( c1_1 @ a2188 )
    | ~ hskp33 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl736_176,plain,
    ( ( c1_1 @ a2188 )
   <= ( c1_1 @ a2188 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl23,plain,
    ! [X43: $i,X44: $i] :
      ( hskp18
      | ~ ( c1_1 @ X43 )
      | ( c3_1 @ X43 )
      | ( c2_1 @ X43 )
      | ~ ndr1_0
      | ( c3_1 @ X44 )
      | ~ ( c1_1 @ X44 )
      | ( c2_1 @ X44 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl386,plain,
    ( ! [X44: $i] :
        ( ( c3_1 @ X44 )
        | ~ ( c1_1 @ X44 )
        | ( c2_1 @ X44 ) )
   <= ! [X44: $i] :
        ( ( c3_1 @ X44 )
        | ~ ( c1_1 @ X44 )
        | ( c2_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl3482,plain,
    ( ( ( c3_1 @ a2188 )
      | ( c2_1 @ a2188 ) )
   <= ( ! [X44: $i] :
          ( ( c3_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ( c2_1 @ X44 ) )
      & ( c1_1 @ a2188 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl386]) ).

thf('235',plain,
    ( ( c2_1 @ a2188 )
    | ~ ( c1_1 @ a2188 )
    | ~ ! [X44: $i] :
          ( ( c3_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ( c2_1 @ X44 ) )
    | ( c3_1 @ a2188 ) ),
    inference(split,[status(esa)],[zip_derived_cl3482]) ).

thf('236',plain,
    ( hskp18
    | ! [X44: $i] :
        ( ( c3_1 @ X44 )
        | ~ ( c1_1 @ X44 )
        | ( c2_1 @ X44 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf('237',plain,
    ( ( c0_1 @ a2222 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl221]) ).

thf(zip_derived_cl222,plain,
    ( ~ hskp18
    | ( c3_1 @ a2222 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('238',plain,
    ( ( c3_1 @ a2222 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl222]) ).

thf('239',plain,
    ( ~ ( c2_1 @ a2222 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl223]) ).

thf(zip_derived_cl854,plain,
    ( ( c3_1 @ a2222 )
   <= ( c3_1 @ a2222 ) ),
    inference(split,[status(esa)],[zip_derived_cl222]) ).

thf(zip_derived_cl301_177,plain,
    ( ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl3674,plain,
    ( ( ( c2_1 @ a2222 )
      | ~ ( c0_1 @ a2222 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
      & ( c3_1 @ a2222 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl854,zip_derived_cl301]) ).

thf('240',plain,
    ( ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 ) )
    | ~ ( c0_1 @ a2222 )
    | ~ ( c3_1 @ a2222 )
    | ( c2_1 @ a2222 ) ),
    inference(split,[status(esa)],[zip_derived_cl3674]) ).

thf('241',plain,
    ( ( c0_1 @ a2185 )
    | ~ ( c1_1 @ a2185 )
    | ~ ! [X36: $i] :
          ( ~ ( c3_1 @ X36 )
          | ~ ( c1_1 @ X36 )
          | ( c0_1 @ X36 ) )
    | ~ ( c3_1 @ a2185 ) ),
    inference(split,[status(esa)],[zip_derived_cl3494]) ).

thf(zip_derived_cl231,plain,
    ( ~ hskp16
    | ~ ( c3_1 @ a2220 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl872,plain,
    ( ~ ( c3_1 @ a2220 )
   <= ~ ( c3_1 @ a2220 ) ),
    inference(split,[status(esa)],[zip_derived_cl231]) ).

thf(zip_derived_cl306_178,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ( c2_1 @ X4 )
        | ~ ( c0_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ( c2_1 @ X4 )
        | ~ ( c0_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl2276,plain,
    ( ( ( c2_1 @ a2220 )
      | ~ ( c0_1 @ a2220 ) )
   <= ( ~ ( c3_1 @ a2220 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl872,zip_derived_cl306]) ).

thf('242',plain,
    ( ~ ( c0_1 @ a2220 )
    | ( c2_1 @ a2220 )
    | ( c3_1 @ a2220 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2276]) ).

thf(zip_derived_cl230,plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a2220 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl870,plain,
    ( ~ ( c1_1 @ a2220 )
   <= ~ ( c1_1 @ a2220 ) ),
    inference(split,[status(esa)],[zip_derived_cl230]) ).

thf(zip_derived_cl326_179,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_cl7]) ).

thf(zip_derived_cl2260,plain,
    ( ( ( c2_1 @ a2220 )
      | ( c3_1 @ a2220 ) )
   <= ( ~ ( c1_1 @ a2220 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ( c3_1 @ X16 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl870,zip_derived_cl326]) ).

thf('243',plain,
    ( ( c2_1 @ a2220 )
    | ( c1_1 @ a2220 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ( c3_1 @ X16 ) )
    | ( c3_1 @ a2220 ) ),
    inference(split,[status(esa)],[zip_derived_cl2260]) ).

thf(zip_derived_cl229,plain,
    ( ~ hskp16
    | ~ ( c2_1 @ a2220 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('244',plain,
    ( ~ ( c2_1 @ a2220 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl229]) ).

thf('245',plain,
    ( ~ ( c1_1 @ a2220 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl230]) ).

thf('246',plain,
    ( ~ ( c3_1 @ a2220 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl231]) ).

thf(zip_derived_cl870_180,plain,
    ( ~ ( c1_1 @ a2220 )
   <= ~ ( c1_1 @ a2220 ) ),
    inference(split,[status(esa)],[zip_derived_cl230]) ).

thf(zip_derived_cl325_181,plain,
    ( ! [X17: $i] :
        ( ( c0_1 @ X17 )
        | ( c1_1 @ X17 )
        | ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c0_1 @ X17 )
        | ( c1_1 @ X17 )
        | ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl2261,plain,
    ( ( ( c0_1 @ a2220 )
      | ( c3_1 @ a2220 ) )
   <= ( ~ ( c1_1 @ a2220 )
      & ! [X17: $i] :
          ( ( c0_1 @ X17 )
          | ( c1_1 @ X17 )
          | ( c3_1 @ X17 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl870,zip_derived_cl325]) ).

thf('247',plain,
    ( ( c0_1 @ a2220 )
    | ( c3_1 @ a2220 )
    | ~ ! [X17: $i] :
          ( ( c0_1 @ X17 )
          | ( c1_1 @ X17 )
          | ( c3_1 @ X17 ) )
    | ( c1_1 @ a2220 ) ),
    inference(split,[status(esa)],[zip_derived_cl2261]) ).

thf('248',plain,
    ( hskp32
    | ! [X11: $i] :
        ( ~ ( c0_1 @ X11 )
        | ( c1_1 @ X11 )
        | ( c2_1 @ X11 ) )
    | ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ( c1_1 @ X1 )
        | ( c2_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl244,plain,
    ( ~ hskp12
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('249',plain,
    ( ndr1_0
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl244]) ).

thf(zip_derived_cl248,plain,
    ( ~ hskp11
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('250',plain,
    ( ndr1_0
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl248]) ).

thf(zip_derived_cl280,plain,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('251',plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl280]) ).

thf(zip_derived_cl37,plain,
    ( hskp11
    | hskp3
    | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('252',plain,
    ( hskp12
    | hskp11
    | hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl910_182,plain,
    ( ~ ( c1_1 @ a2209 )
   <= ~ ( c1_1 @ a2209 ) ),
    inference(split,[status(esa)],[zip_derived_cl250]) ).

thf(zip_derived_cl321_183,plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 )
        | ~ ( c2_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 )
        | ~ ( c2_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl2389,plain,
    ( ( ~ ( c3_1 @ a2209 )
      | ~ ( c2_1 @ a2209 ) )
   <= ( ~ ( c1_1 @ a2209 )
      & ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 )
          | ~ ( c2_1 @ X14 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl910,zip_derived_cl321]) ).

thf(zip_derived_cl6341,plain,
    ( ~ ( c3_1 @ a2209 )
   <= ~ ( c3_1 @ a2209 ) ),
    inference(split,[status(esa)],[zip_derived_cl2389]) ).

thf(zip_derived_cl306_184,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ( c2_1 @ X4 )
        | ~ ( c0_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ( c2_1 @ X4 )
        | ~ ( c0_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl6356,plain,
    ( ( ( c2_1 @ a2209 )
      | ~ ( c0_1 @ a2209 ) )
   <= ( ~ ( c3_1 @ a2209 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl6341,zip_derived_cl306]) ).

thf('253',plain,
    ( ( c3_1 @ a2209 )
    | ( c2_1 @ a2209 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
    | ~ ( c0_1 @ a2209 ) ),
    inference(split,[status(esa)],[zip_derived_cl6356]) ).

thf(zip_derived_cl910_185,plain,
    ( ~ ( c1_1 @ a2209 )
   <= ~ ( c1_1 @ a2209 ) ),
    inference(split,[status(esa)],[zip_derived_cl250]) ).

thf(zip_derived_cl317_186,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_cl5]) ).

thf(zip_derived_cl2388,plain,
    ( ( ~ ( c0_1 @ a2209 )
      | ( c2_1 @ a2209 ) )
   <= ( ~ ( c1_1 @ a2209 )
      & ! [X11: $i] :
          ( ~ ( c0_1 @ X11 )
          | ( c1_1 @ X11 )
          | ( c2_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl910,zip_derived_cl317]) ).

thf('254',plain,
    ( ( c1_1 @ a2209 )
    | ( c2_1 @ a2209 )
    | ~ ! [X11: $i] :
          ( ~ ( c0_1 @ X11 )
          | ( c1_1 @ X11 )
          | ( c2_1 @ X11 ) )
    | ~ ( c0_1 @ a2209 ) ),
    inference(split,[status(esa)],[zip_derived_cl2388]) ).

thf(zip_derived_cl249,plain,
    ( ~ hskp11
    | ( c0_1 @ a2209 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('255',plain,
    ( ( c0_1 @ a2209 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl249]) ).

thf('256',plain,
    ( ~ ( c1_1 @ a2209 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl250]) ).

thf(zip_derived_cl251,plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a2209 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('257',plain,
    ( ~ ( c2_1 @ a2209 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl251]) ).

thf(zip_derived_cl910_187,plain,
    ( ~ ( c1_1 @ a2209 )
   <= ~ ( c1_1 @ a2209 ) ),
    inference(split,[status(esa)],[zip_derived_cl250]) ).

thf(zip_derived_cl296_188,plain,
    ( ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ( c1_1 @ X1 )
        | ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ( c1_1 @ X1 )
        | ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl2386,plain,
    ( ( ~ ( c3_1 @ a2209 )
      | ( c2_1 @ a2209 ) )
   <= ( ~ ( c1_1 @ a2209 )
      & ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl910,zip_derived_cl296]) ).

thf('258',plain,
    ( ~ ( c3_1 @ a2209 )
    | ( c1_1 @ a2209 )
    | ~ ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
    | ( c2_1 @ a2209 ) ),
    inference(split,[status(esa)],[zip_derived_cl2386]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp32
    | ( c0_1 @ a2186 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('259',plain,
    ( ( c0_1 @ a2186 )
    | ~ hskp32 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp32
    | ~ ( c3_1 @ a2186 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('260',plain,
    ( ~ ( c3_1 @ a2186 )
    | ~ hskp32 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp32
    | ~ ( c2_1 @ a2186 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('261',plain,
    ( ~ ( c2_1 @ a2186 )
    | ~ hskp32 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl740,plain,
    ( ~ ( c3_1 @ a2186 )
   <= ~ ( c3_1 @ a2186 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl306_189,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ( c2_1 @ X4 )
        | ~ ( c0_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ( c2_1 @ X4 )
        | ~ ( c0_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl1938,plain,
    ( ( ( c2_1 @ a2186 )
      | ~ ( c0_1 @ a2186 ) )
   <= ( ~ ( c3_1 @ a2186 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl740,zip_derived_cl306]) ).

thf('262',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ( c2_1 @ X4 )
          | ~ ( c0_1 @ X4 ) )
    | ( c3_1 @ a2186 )
    | ( c2_1 @ a2186 )
    | ~ ( c0_1 @ a2186 ) ),
    inference(split,[status(esa)],[zip_derived_cl1938]) ).

thf('263',plain,
    ( ! [X17: $i] :
        ( ( c0_1 @ X17 )
        | ( c1_1 @ X17 )
        | ( c3_1 @ X17 ) )
    | ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c2_1 @ X16 )
        | ( c3_1 @ X16 ) )
    | ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf('264',plain,
    ( ~ hskp54
    | ( c1_1 @ a2240 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf('265',plain,
    ( ( c3_1 @ a2240 )
    | ~ hskp54 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf('266',plain,
    ( ( c0_1 @ a2240 )
    | ~ hskp54 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl29,plain,
    ! [X53: $i,X54: $i,X55: $i] :
      ( ~ ( c3_1 @ X53 )
      | ( c2_1 @ X53 )
      | ~ ( c0_1 @ X53 )
      | ~ ndr1_0
      | ( c3_1 @ X54 )
      | ( c2_1 @ X54 )
      | ( c0_1 @ X54 )
      | ~ ndr1_0
      | ( c1_1 @ X55 )
      | ( c2_1 @ X55 )
      | ( c3_1 @ X55 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('267',plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c2_1 @ X10 ) )
    | ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c2_1 @ X16 )
        | ( c3_1 @ X16 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl305_190,plain,
    ( ! [X5: $i] :
        ( ~ ( c2_1 @ X5 )
        | ( c0_1 @ X5 )
        | ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ~ ( c2_1 @ X5 )
        | ( c0_1 @ X5 )
        | ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl332_191,plain,
    ( ! [X22: $i] :
        ( ~ ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ~ ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1125,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ~ ( c2_1 @ X5 )
          | ( c0_1 @ X5 )
          | ( c1_1 @ X5 ) )
      & ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl305,zip_derived_cl332]) ).

thf(zip_derived_cl1130,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ( c0_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ~ ( c2_1 @ X5 )
          | ( c0_1 @ X5 )
          | ( c1_1 @ X5 ) )
      & ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1125]) ).

thf(zip_derived_cl832_192,plain,
    ( ~ ( c3_1 @ a2239 )
   <= ~ ( c3_1 @ a2239 ) ),
    inference(split,[status(esa)],[zip_derived_cl211]) ).

thf(zip_derived_cl2154,plain,
    ( ( ( c0_1 @ a2239 )
      | ~ ( c2_1 @ a2239 ) )
   <= ( ~ ( c3_1 @ a2239 )
      & ! [X5: $i] :
          ( ~ ( c2_1 @ X5 )
          | ( c0_1 @ X5 )
          | ( c1_1 @ X5 ) )
      & ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1130,zip_derived_cl832]) ).

thf('268',plain,
    ( ~ ( c2_1 @ a2239 )
    | ( c0_1 @ a2239 )
    | ~ ! [X5: $i] :
          ( ~ ( c2_1 @ X5 )
          | ( c0_1 @ X5 )
          | ( c1_1 @ X5 ) )
    | ~ ! [X22: $i] :
          ( ~ ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
    | ( c3_1 @ a2239 ) ),
    inference(split,[status(esa)],[zip_derived_cl2154]) ).

thf('269',plain,
    ( hskp17
    | ! [X22: $i] :
        ( ~ ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl225,plain,
    ( ~ hskp17
    | ~ ( c0_1 @ a2221 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('270',plain,
    ( ~ ( c0_1 @ a2221 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl225]) ).

thf(zip_derived_cl226,plain,
    ( ~ hskp17
    | ( c2_1 @ a2221 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('271',plain,
    ( ( c2_1 @ a2221 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl226]) ).

thf(zip_derived_cl227,plain,
    ( ~ hskp17
    | ~ ( c3_1 @ a2221 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('272',plain,
    ( ~ ( c3_1 @ a2221 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl227]) ).

thf(zip_derived_cl864,plain,
    ( ~ ( c3_1 @ a2221 )
   <= ~ ( c3_1 @ a2221 ) ),
    inference(split,[status(esa)],[zip_derived_cl227]) ).

thf(zip_derived_cl309_193,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_cl3]) ).

thf(zip_derived_cl2240,plain,
    ( ( ( c0_1 @ a2221 )
      | ~ ( c2_1 @ a2221 ) )
   <= ( ~ ( c3_1 @ a2221 )
      & ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl864,zip_derived_cl309]) ).

thf('273',plain,
    ( ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
    | ~ ( c2_1 @ a2221 )
    | ( c3_1 @ a2221 )
    | ( c0_1 @ a2221 ) ),
    inference(split,[status(esa)],[zip_derived_cl2240]) ).

thf(zip_derived_cl35,plain,
    ! [X64: $i,X65: $i,X66: $i] :
      ( ( c3_1 @ X64 )
      | ~ ( c2_1 @ X64 )
      | ( c0_1 @ X64 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X65 )
      | ~ ( c3_1 @ X65 )
      | ~ ( c2_1 @ X65 )
      | ~ ndr1_0
      | ~ ( c3_1 @ X66 )
      | ( c0_1 @ X66 )
      | ~ ( c1_1 @ X66 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('274',plain,
    ( ! [X36: $i] :
        ( ~ ( c3_1 @ X36 )
        | ~ ( c1_1 @ X36 )
        | ( c0_1 @ X36 ) )
    | ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ( c0_1 @ X7 )
        | ~ ( c2_1 @ X7 ) )
    | ~ ndr1_0
    | ! [X21: $i] :
        ( ~ ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp34
    | ~ ( c0_1 @ a2189 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('275',plain,
    ( ~ ( c0_1 @ a2189 )
    | ~ hskp34 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf('276',plain,
    ( ( c1_1 @ a2189 )
    | ~ hskp34 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf('277',plain,
    ( ( c3_1 @ a2189 )
    | ~ hskp34 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl726_194,plain,
    ( ( c1_1 @ a2189 )
   <= ( c1_1 @ a2189 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl372_195,plain,
    ( ! [X36: $i] :
        ( ~ ( c3_1 @ X36 )
        | ~ ( c1_1 @ X36 )
        | ( c0_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ~ ( c3_1 @ X36 )
        | ~ ( c1_1 @ X36 )
        | ( c0_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl3458,plain,
    ( ( ~ ( c3_1 @ a2189 )
      | ( c0_1 @ a2189 ) )
   <= ( ! [X36: $i] :
          ( ~ ( c3_1 @ X36 )
          | ~ ( c1_1 @ X36 )
          | ( c0_1 @ X36 ) )
      & ( c1_1 @ a2189 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl372]) ).

thf('278',plain,
    ( ( c0_1 @ a2189 )
    | ~ ( c1_1 @ a2189 )
    | ~ ! [X36: $i] :
          ( ~ ( c3_1 @ X36 )
          | ~ ( c1_1 @ X36 )
          | ( c0_1 @ X36 ) )
    | ~ ( c3_1 @ a2189 ) ),
    inference(split,[status(esa)],[zip_derived_cl3458]) ).

thf(zip_derived_cl269,plain,
    ( ~ hskp6
    | ~ ( c0_1 @ a2197 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('279',plain,
    ( ~ ( c0_1 @ a2197 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl269]) ).

thf(zip_derived_cl270,plain,
    ( ~ hskp6
    | ~ ( c3_1 @ a2197 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('280',plain,
    ( ~ ( c3_1 @ a2197 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl270]) ).

thf(zip_derived_cl271,plain,
    ( ~ hskp6
    | ~ ( c1_1 @ a2197 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('281',plain,
    ( ~ ( c1_1 @ a2197 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl271]) ).

thf(zip_derived_cl952,plain,
    ( ~ ( c1_1 @ a2197 )
   <= ~ ( c1_1 @ a2197 ) ),
    inference(split,[status(esa)],[zip_derived_cl271]) ).

thf(zip_derived_cl325_196,plain,
    ( ! [X17: $i] :
        ( ( c0_1 @ X17 )
        | ( c1_1 @ X17 )
        | ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c0_1 @ X17 )
        | ( c1_1 @ X17 )
        | ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl2560,plain,
    ( ( ( c0_1 @ a2197 )
      | ( c3_1 @ a2197 ) )
   <= ( ~ ( c1_1 @ a2197 )
      & ! [X17: $i] :
          ( ( c0_1 @ X17 )
          | ( c1_1 @ X17 )
          | ( c3_1 @ X17 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl952,zip_derived_cl325]) ).

thf('282',plain,
    ( ( c3_1 @ a2197 )
    | ( c1_1 @ a2197 )
    | ~ ! [X17: $i] :
          ( ( c0_1 @ X17 )
          | ( c1_1 @ X17 )
          | ( c3_1 @ X17 ) )
    | ( c0_1 @ a2197 ) ),
    inference(split,[status(esa)],[zip_derived_cl2560]) ).

thf(zip_derived_cl846_197,plain,
    ( ~ ( c1_1 @ a2233 )
   <= ~ ( c1_1 @ a2233 ) ),
    inference(split,[status(esa)],[zip_derived_cl218]) ).

thf(zip_derived_cl325_198,plain,
    ( ! [X17: $i] :
        ( ( c0_1 @ X17 )
        | ( c1_1 @ X17 )
        | ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c0_1 @ X17 )
        | ( c1_1 @ X17 )
        | ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl2190,plain,
    ( ( ( c0_1 @ a2233 )
      | ( c3_1 @ a2233 ) )
   <= ( ~ ( c1_1 @ a2233 )
      & ! [X17: $i] :
          ( ( c0_1 @ X17 )
          | ( c1_1 @ X17 )
          | ( c3_1 @ X17 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl846,zip_derived_cl325]) ).

thf('283',plain,
    ( ( c0_1 @ a2233 )
    | ( c1_1 @ a2233 )
    | ~ ! [X17: $i] :
          ( ( c0_1 @ X17 )
          | ( c1_1 @ X17 )
          | ( c3_1 @ X17 ) )
    | ( c3_1 @ a2233 ) ),
    inference(split,[status(esa)],[zip_derived_cl2190]) ).

thf(zip_derived_cl277,plain,
    ( ~ hskp4
    | ( c3_1 @ a2191 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('284',plain,
    ( ( c3_1 @ a2191 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl277]) ).

thf(zip_derived_cl278,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a2191 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('285',plain,
    ( ~ ( c2_1 @ a2191 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl278]) ).

thf(zip_derived_cl279,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a2191 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('286',plain,
    ( ~ ( c1_1 @ a2191 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl279]) ).

thf(zip_derived_cl968,plain,
    ( ~ ( c1_1 @ a2191 )
   <= ~ ( c1_1 @ a2191 ) ),
    inference(split,[status(esa)],[zip_derived_cl279]) ).

thf(zip_derived_cl296_199,plain,
    ( ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ( c1_1 @ X1 )
        | ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ( c1_1 @ X1 )
        | ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl2608,plain,
    ( ( ~ ( c3_1 @ a2191 )
      | ( c2_1 @ a2191 ) )
   <= ( ~ ( c1_1 @ a2191 )
      & ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl968,zip_derived_cl296]) ).

thf('287',plain,
    ( ( c2_1 @ a2191 )
    | ( c1_1 @ a2191 )
    | ~ ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ( c1_1 @ X1 )
          | ( c2_1 @ X1 ) )
    | ~ ( c3_1 @ a2191 ) ),
    inference(split,[status(esa)],[zip_derived_cl2608]) ).

thf('288',plain,
    ( ! [X71: $i] :
        ( ~ ( c0_1 @ X71 )
        | ~ ( c1_1 @ X71 )
        | ( c2_1 @ X71 ) )
    | ! [X27: $i] :
        ( ~ ( c3_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 ) )
    | ~ ndr1_0
    | ! [X20: $i] :
        ( ( c0_1 @ X20 )
        | ( c2_1 @ X20 )
        | ~ ( c1_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl52,plain,
    ! [X92: $i,X93: $i,X94: $i] :
      ( ~ ( c1_1 @ X92 )
      | ~ ( c0_1 @ X92 )
      | ~ ( c2_1 @ X92 )
      | ~ ndr1_0
      | ( c1_1 @ X93 )
      | ~ ( c3_1 @ X93 )
      | ( c2_1 @ X93 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X94 )
      | ( c2_1 @ X94 )
      | ( c3_1 @ X94 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('289',plain,
    ( ! [X81: $i] :
        ( ~ ( c1_1 @ X81 )
        | ~ ( c0_1 @ X81 )
        | ~ ( c2_1 @ X81 ) )
    | ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ( c1_1 @ X1 )
        | ( c2_1 @ X1 ) )
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ( c2_1 @ X4 )
        | ~ ( c0_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl630_200,plain,
    ( ~ ( c3_1 @ a2218 )
   <= ~ ( c3_1 @ a2218 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl304_201,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl1732,plain,
    ( ( ~ ( c0_1 @ a2218 )
      | ~ ( c2_1 @ a2218 ) )
   <= ( ~ ( c3_1 @ a2218 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl630,zip_derived_cl304]) ).

thf('290',plain,
    ( ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ( c3_1 @ a2218 )
    | ~ ( c2_1 @ a2218 )
    | ~ ( c0_1 @ a2218 ) ),
    inference(split,[status(esa)],[zip_derived_cl1732]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp46
    | ( c0_1 @ a2218 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('291',plain,
    ( ( c0_1 @ a2218 )
    | ~ hskp46 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf('292',plain,
    ( ~ ( c3_1 @ a2218 )
    | ~ hskp46 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp46
    | ( c2_1 @ a2218 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('293',plain,
    ( ( c2_1 @ a2218 )
    | ~ hskp46 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf('294',plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 )
        | ~ ( c2_1 @ X14 ) )
    | hskp3
    | ! [X91: $i] :
        ( ( c3_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c2_1 @ X91 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl30,plain,
    ! [X56: $i] :
      ( ~ ( c0_1 @ X56 )
      | ( c1_1 @ X56 )
      | ~ ( c3_1 @ X56 )
      | ~ ndr1_0
      | hskp46
      | hskp34 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('295',plain,
    ( ! [X23: $i] :
        ( ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 )
        | ( c1_1 @ X23 ) )
    | hskp46
    | hskp34
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl534_202,plain,
    ( ~ ( c1_1 @ a2252 )
   <= ~ ( c1_1 @ a2252 ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl354_203,plain,
    ( ! [X30: $i] :
        ( ( c3_1 @ X30 )
        | ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c3_1 @ X30 )
        | ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1622,plain,
    ( ( ( c3_1 @ a2252 )
      | ~ ( c0_1 @ a2252 ) )
   <= ( ~ ( c1_1 @ a2252 )
      & ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl534,zip_derived_cl354]) ).

thf('296',plain,
    ( ~ ! [X30: $i] :
          ( ( c3_1 @ X30 )
          | ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ( c3_1 @ a2252 )
    | ( c1_1 @ a2252 )
    | ~ ( c0_1 @ a2252 ) ),
    inference(split,[status(esa)],[zip_derived_cl1622]) ).

thf('297',plain,
    ( ~ ( c2_1 @ a2252 )
    | ~ hskp58 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl534_204,plain,
    ( ~ ( c1_1 @ a2252 )
   <= ~ ( c1_1 @ a2252 ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl326_205,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_cl7]) ).

thf(zip_derived_cl1618,plain,
    ( ( ( c2_1 @ a2252 )
      | ( c3_1 @ a2252 ) )
   <= ( ~ ( c1_1 @ a2252 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ( c3_1 @ X16 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl534,zip_derived_cl326]) ).

thf('298',plain,
    ( ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ( c3_1 @ X16 ) )
    | ( c3_1 @ a2252 )
    | ( c1_1 @ a2252 )
    | ( c2_1 @ a2252 ) ),
    inference(split,[status(esa)],[zip_derived_cl1618]) ).

thf(zip_derived_cl534_206,plain,
    ( ~ ( c1_1 @ a2252 )
   <= ~ ( c1_1 @ a2252 ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl335_207,plain,
    ( ! [X23: $i] :
        ( ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 )
        | ( c1_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 )
        | ( c1_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1620,plain,
    ( ( ~ ( c0_1 @ a2252 )
      | ~ ( c3_1 @ a2252 ) )
   <= ( ~ ( c1_1 @ a2252 )
      & ! [X23: $i] :
          ( ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 )
          | ( c1_1 @ X23 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl534,zip_derived_cl335]) ).

thf('299',plain,
    ( ~ ( c3_1 @ a2252 )
    | ~ ! [X23: $i] :
          ( ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 )
          | ( c1_1 @ X23 ) )
    | ( c1_1 @ a2252 )
    | ~ ( c0_1 @ a2252 ) ),
    inference(split,[status(esa)],[zip_derived_cl1620]) ).

thf(zip_derived_cl60,plain,
    ( ~ hskp58
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('300',plain,
    ( ndr1_0
    | ~ hskp58 ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf('301',plain,
    ( ~ ( c1_1 @ a2252 )
    | ~ hskp58 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf('302',plain,
    ( ( c0_1 @ a2252 )
    | ~ hskp58 ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl17,plain,
    ! [X33: $i,X34: $i] :
      ( ~ ( c0_1 @ X33 )
      | ( c3_1 @ X33 )
      | ( c1_1 @ X33 )
      | ~ ndr1_0
      | hskp53
      | ( c3_1 @ X34 )
      | ( c2_1 @ X34 )
      | ( c1_1 @ X34 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('303',plain,
    ( hskp53
    | ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c2_1 @ X16 )
        | ( c3_1 @ X16 ) )
    | ~ ndr1_0
    | ! [X30: $i] :
        ( ( c3_1 @ X30 )
        | ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp53
    | ( c2_1 @ a2235 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('304',plain,
    ( ( c2_1 @ a2235 )
    | ~ hskp53 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl335_208,plain,
    ( ! [X23: $i] :
        ( ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 )
        | ( c1_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 )
        | ( c1_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl469_209,plain,
    ( ! [X81: $i] :
        ( ~ ( c1_1 @ X81 )
        | ~ ( c0_1 @ X81 )
        | ~ ( c2_1 @ X81 ) )
   <= ! [X81: $i] :
        ( ~ ( c1_1 @ X81 )
        | ~ ( c0_1 @ X81 )
        | ~ ( c2_1 @ X81 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl2838,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X23: $i] :
          ( ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 )
          | ( c1_1 @ X23 ) )
      & ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl335,zip_derived_cl469]) ).

thf(zip_derived_cl2845,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X23: $i] :
          ( ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 )
          | ( c1_1 @ X23 ) )
      & ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2838]) ).

thf(zip_derived_cl576_210,plain,
    ( ( c3_1 @ a2235 )
   <= ( c3_1 @ a2235 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl10188,plain,
    ( ( ~ ( c0_1 @ a2235 )
      | ~ ( c2_1 @ a2235 ) )
   <= ( ! [X23: $i] :
          ( ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 )
          | ( c1_1 @ X23 ) )
      & ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) )
      & ( c3_1 @ a2235 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2845,zip_derived_cl576]) ).

thf('305',plain,
    ( ~ ( c2_1 @ a2235 )
    | ~ ( c3_1 @ a2235 )
    | ~ ( c0_1 @ a2235 )
    | ~ ! [X81: $i] :
          ( ~ ( c1_1 @ X81 )
          | ~ ( c0_1 @ X81 )
          | ~ ( c2_1 @ X81 ) )
    | ~ ! [X23: $i] :
          ( ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 )
          | ( c1_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10188]) ).

thf(zip_derived_cl39536,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','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257','258','259','260','261','262','263','264','265','266','267','268','269','270','271','272','273','274','275','276','277','278','279','280','281','282','283','284','285','286','287','288','289','290','291','292','293','294','295','296','297','298','299','300','301','302','303','304','305']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN460+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Mq6Groce0q true
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 19:33:41 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.38/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.38/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.38/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.38/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 44.74/7.00  % Solved by fo/fo1_av.sh.
% 44.74/7.00  % done 8775 iterations in 6.164s
% 44.74/7.00  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 44.74/7.00  % SZS output start Refutation
% See solution above
% 44.74/7.01  
% 44.74/7.01  
% 44.74/7.01  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 44.74/7.01  % Terminating...
% 45.27/7.09  % Runner terminated.
% 45.27/7.10  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------