TSTP Solution File: SYN487+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN487+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.knM67mrLUF 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 04:04:05 EDT 2023

% Result   : Theorem 6.25s 1.48s
% Output   : Refutation 6.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   70
% Syntax   : Number of formulae    :  812 (   1 unt;  69 typ;   0 def)
%            Number of atoms       : 4718 (   0 equ;   0 cnn)
%            Maximal formula atoms :  674 (   6 avg)
%            Number of connectives : 10021 (2428   ~;2932   |; 519   &;3618   @)
%                                         (   0 <=>; 194  =>; 330  <=;   0 <~>)
%            Maximal formula depth :  110 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   70 (  69 usr;  66 con; 0-1 aty)
%            Number of variables   :  805 (   0   ^; 805   !;   0   ?; 805   :)

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

thf(a2280_type,type,
    a2280: $i ).

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

thf(a2315_type,type,
    a2315: $i ).

thf(a2294_type,type,
    a2294: $i ).

thf(a2327_type,type,
    a2327: $i ).

thf(a2278_type,type,
    a2278: $i ).

thf(a2304_type,type,
    a2304: $i ).

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

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

thf(a2276_type,type,
    a2276: $i ).

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

thf(a2285_type,type,
    a2285: $i ).

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

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

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

thf(a2277_type,type,
    a2277: $i ).

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

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

thf(a2282_type,type,
    a2282: $i ).

thf(a2316_type,type,
    a2316: $i ).

thf(a2325_type,type,
    a2325: $i ).

thf(a2309_type,type,
    a2309: $i ).

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

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

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

thf(a2293_type,type,
    a2293: $i ).

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

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

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

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

thf(a2387_type,type,
    a2387: $i ).

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

thf(a2291_type,type,
    a2291: $i ).

thf(a2295_type,type,
    a2295: $i ).

thf(a2308_type,type,
    a2308: $i ).

thf(a2324_type,type,
    a2324: $i ).

thf(a2345_type,type,
    a2345: $i ).

thf(a2306_type,type,
    a2306: $i ).

thf(a2303_type,type,
    a2303: $i ).

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

thf(a2323_type,type,
    a2323: $i ).

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

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

thf(a2286_type,type,
    a2286: $i ).

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

thf(a2342_type,type,
    a2342: $i ).

thf(a2287_type,type,
    a2287: $i ).

thf(a2299_type,type,
    a2299: $i ).

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

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

thf(a2302_type,type,
    a2302: $i ).

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

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

thf(a2284_type,type,
    a2284: $i ).

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

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

thf(a2337_type,type,
    a2337: $i ).

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

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

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

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

thf(a2279_type,type,
    a2279: $i ).

thf(a2367_type,type,
    a2367: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c1_1 @ a2276 )
          & ( c3_1 @ a2276 )
          & ~ ( c0_1 @ a2276 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c0_1 @ a2277 )
          & ( c1_1 @ a2277 )
          & ~ ( c2_1 @ a2277 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c0_1 @ a2279 )
          & ~ ( c2_1 @ a2279 )
          & ~ ( c3_1 @ a2279 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c1_1 @ a2280 )
          & ( c3_1 @ a2280 )
          & ~ ( c2_1 @ a2280 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c2_1 @ a2282 )
          & ~ ( c0_1 @ a2282 )
          & ~ ( c3_1 @ a2282 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ ( c0_1 @ a2284 )
          & ~ ( c1_1 @ a2284 )
          & ~ ( c3_1 @ a2284 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c0_1 @ a2285 )
          & ( c1_1 @ a2285 )
          & ~ ( c3_1 @ a2285 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c1_1 @ a2286 )
          & ~ ( c0_1 @ a2286 )
          & ~ ( c2_1 @ a2286 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c0_1 @ a2287 )
          & ( c2_1 @ a2287 )
          & ~ ( c1_1 @ a2287 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ ( c0_1 @ a2291 )
          & ~ ( c1_1 @ a2291 )
          & ~ ( c2_1 @ a2291 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c0_1 @ a2293 )
          & ( c2_1 @ a2293 )
          & ~ ( c3_1 @ a2293 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c0_1 @ a2294 )
          & ~ ( c1_1 @ a2294 )
          & ~ ( c2_1 @ a2294 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c0_1 @ a2295 )
          & ~ ( c1_1 @ a2295 )
          & ~ ( c3_1 @ a2295 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c2_1 @ a2299 )
          & ~ ( c1_1 @ a2299 )
          & ~ ( c3_1 @ a2299 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c2_1 @ a2302 )
          & ( c3_1 @ a2302 )
          & ~ ( c0_1 @ a2302 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c1_1 @ a2303 )
          & ( c2_1 @ a2303 )
          & ~ ( c3_1 @ a2303 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ~ ( c0_1 @ a2304 )
          & ~ ( c2_1 @ a2304 )
          & ~ ( c3_1 @ a2304 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ ( c1_1 @ a2306 )
          & ~ ( c2_1 @ a2306 )
          & ~ ( c3_1 @ a2306 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c3_1 @ a2308 )
          & ~ ( c1_1 @ a2308 )
          & ~ ( c2_1 @ a2308 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c1_1 @ a2316 )
          & ~ ( c2_1 @ a2316 )
          & ~ ( c3_1 @ a2316 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c2_1 @ a2323 )
          & ( c3_1 @ a2323 )
          & ~ ( c1_1 @ a2323 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c1_1 @ a2324 )
          & ~ ( c0_1 @ a2324 )
          & ~ ( c3_1 @ a2324 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c2_1 @ a2325 )
          & ~ ( c0_1 @ a2325 )
          & ~ ( c1_1 @ a2325 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c3_1 @ a2327 )
          & ~ ( c0_1 @ a2327 )
          & ~ ( c2_1 @ a2327 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c0_1 @ a2337 )
          & ( c3_1 @ a2337 )
          & ~ ( c1_1 @ a2337 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c0_1 @ a2342 )
          & ( c3_1 @ a2342 )
          & ~ ( c2_1 @ a2342 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c3_1 @ a2345 )
          & ~ ( c0_1 @ a2345 )
          & ~ ( c1_1 @ a2345 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c1_1 @ a2367 )
          & ( c2_1 @ a2367 )
          & ~ ( c0_1 @ a2367 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a2278 )
          & ( c1_1 @ a2278 )
          & ( c3_1 @ a2278 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a2309 )
          & ( c1_1 @ a2309 )
          & ( c2_1 @ a2309 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c1_1 @ a2315 )
          & ( c2_1 @ a2315 )
          & ( c3_1 @ a2315 ) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & ( c0_1 @ a2387 )
          & ( c2_1 @ a2387 )
          & ( c3_1 @ a2387 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c1_1 @ V )
              | ~ ( c3_1 @ V ) ) )
        | hskp0 )
      & ( ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ( c1_1 @ W )
              | ( c2_1 @ W ) ) )
        | ! [X: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X )
              | ( c3_1 @ X )
              | ~ ( c2_1 @ X ) ) )
        | hskp1 )
      & ( ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c1_1 @ Y )
              | ( c2_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c2_1 @ Z )
              | ~ ( c1_1 @ Z )
              | ~ ( c3_1 @ Z ) ) )
        | hskp28 )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c2_1 @ X1 ) ) )
        | hskp2
        | hskp3 )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c2_1 @ X2 ) ) )
        | hskp0
        | hskp4 )
      & ( ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c1_1 @ X3 )
              | ~ ( c2_1 @ X3 ) ) )
        | ! [X4: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X4 )
              | ~ ( c2_1 @ X4 )
              | ~ ( c3_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X5 )
              | ~ ( c1_1 @ X5 )
              | ~ ( c3_1 @ X5 ) ) ) )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c1_1 @ X6 )
              | ~ ( c2_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X7 )
              | ~ ( c1_1 @ X7 )
              | ~ ( c3_1 @ X7 ) ) )
        | hskp1 )
      & ( ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ( c1_1 @ X8 )
              | ~ ( c3_1 @ X8 ) ) )
        | ! [X9: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X9 )
              | ~ ( c0_1 @ X9 )
              | ~ ( c2_1 @ X9 ) ) )
        | hskp5 )
      & ( ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ~ ( c3_1 @ X10 ) ) )
        | hskp6
        | hskp7 )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c1_1 @ X11 )
              | ~ ( c3_1 @ X11 ) ) )
        | hskp8
        | hskp7 )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c2_1 @ X12 )
              | ( c3_1 @ X12 ) ) )
        | ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c2_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ~ ( c1_1 @ X14 )
              | ~ ( c2_1 @ X14 ) ) ) )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c2_1 @ X15 )
              | ( c3_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X16 )
              | ( c3_1 @ X16 )
              | ~ ( c0_1 @ X16 ) ) )
        | hskp5 )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c2_1 @ X17 )
              | ( c3_1 @ X17 ) ) )
        | hskp28
        | hskp9 )
      & ( ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ( c2_1 @ X18 )
              | ( c3_1 @ X18 ) ) )
        | hskp6
        | hskp10 )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c2_1 @ X19 )
              | ( c3_1 @ X19 ) ) )
        | hskp11
        | hskp12 )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c2_1 @ X20 )
              | ~ ( c1_1 @ X20 ) ) )
        | hskp28
        | hskp8 )
      & ( ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c2_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) )
        | hskp4
        | hskp13 )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c3_1 @ X22 )
              | ~ ( c1_1 @ X22 ) ) )
        | ! [X23: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X23 )
              | ( c3_1 @ X23 )
              | ~ ( c0_1 @ X23 ) ) )
        | hskp11 )
      & ( ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c3_1 @ X24 )
              | ~ ( c1_1 @ X24 ) ) )
        | hskp1
        | hskp14 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c3_1 @ X25 )
              | ~ ( c1_1 @ X25 ) ) )
        | hskp15
        | hskp16 )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c3_1 @ X26 )
              | ~ ( c2_1 @ X26 ) ) )
        | hskp14
        | hskp17 )
      & ( ! [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 ) ) )
        | hskp17 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ~ ( c1_1 @ X29 )
              | ~ ( c2_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X30 )
              | ~ ( c0_1 @ X30 )
              | ~ ( c2_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X31 )
              | ~ ( c1_1 @ X31 )
              | ~ ( c2_1 @ X31 ) ) ) )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ~ ( c1_1 @ X32 )
              | ~ ( c2_1 @ X32 ) ) )
        | ! [X33: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X33 )
              | ~ ( c2_1 @ X33 )
              | ~ ( c3_1 @ X33 ) ) )
        | hskp18 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ~ ( c1_1 @ X34 )
              | ~ ( c2_1 @ X34 ) ) )
        | hskp29
        | hskp8 )
      & ( ! [X35: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X35 )
              | ~ ( c1_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) )
        | ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ~ ( c2_1 @ X36 )
              | ~ ( c3_1 @ X36 ) ) )
        | hskp0 )
      & ( ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ~ ( c1_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) )
        | hskp14
        | hskp17 )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ~ ( c2_1 @ X38 )
              | ~ ( c3_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X39 )
              | ( c3_1 @ X39 )
              | ~ ( c0_1 @ X39 ) ) )
        | hskp8 )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ~ ( c2_1 @ X40 )
              | ~ ( c3_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X41 )
              | ( c3_1 @ X41 )
              | ~ ( c2_1 @ X41 ) ) )
        | hskp30 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ~ ( c2_1 @ X42 )
              | ~ ( c3_1 @ X42 ) ) )
        | ! [X43: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X43 )
              | ( c3_1 @ X43 )
              | ~ ( c1_1 @ X43 ) ) )
        | hskp19 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ~ ( c2_1 @ X44 )
              | ~ ( c3_1 @ X44 ) ) )
        | hskp29
        | hskp8 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ~ ( c2_1 @ X45 )
              | ~ ( c3_1 @ X45 ) ) )
        | hskp12
        | hskp13 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ~ ( c2_1 @ X46 )
              | ~ ( c3_1 @ X46 ) ) )
        | hskp30
        | hskp19 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X47 )
              | ~ ( c2_1 @ X47 )
              | ~ ( c3_1 @ X47 ) ) )
        | hskp20 )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X48 )
              | ( c2_1 @ X48 )
              | ( c3_1 @ X48 ) ) )
        | ! [X49: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X49 )
              | ~ ( c0_1 @ X49 )
              | ~ ( c3_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X50 )
              | ~ ( c1_1 @ X50 )
              | ~ ( c2_1 @ X50 ) ) ) )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X51 )
              | ( c2_1 @ X51 )
              | ( c3_1 @ X51 ) ) )
        | hskp21
        | hskp22 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X52 )
              | ( c2_1 @ X52 )
              | ~ ( c0_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X53 )
              | ~ ( c2_1 @ X53 )
              | ~ ( c3_1 @ X53 ) ) )
        | hskp0 )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X54 )
              | ( c3_1 @ X54 )
              | ~ ( c0_1 @ X54 ) ) )
        | ! [X55: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X55 )
              | ( c3_1 @ X55 )
              | ~ ( c0_1 @ X55 ) ) )
        | hskp23 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X56 )
              | ( c3_1 @ X56 )
              | ~ ( c0_1 @ X56 ) ) )
        | ! [X57: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X57 )
              | ~ ( c1_1 @ X57 )
              | ~ ( c2_1 @ X57 ) ) )
        | hskp1 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X58 )
              | ( c3_1 @ X58 )
              | ~ ( c0_1 @ X58 ) ) )
        | hskp12 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X59 )
              | ( c3_1 @ X59 )
              | ~ ( c2_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X60 )
              | ~ ( c0_1 @ X60 )
              | ~ ( c1_1 @ X60 ) ) )
        | hskp23 )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X61 )
              | ( c3_1 @ X61 )
              | ~ ( c2_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X62 )
              | ~ ( c1_1 @ X62 )
              | ~ ( c3_1 @ X62 ) ) )
        | hskp0 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X63 )
              | ~ ( c0_1 @ X63 )
              | ~ ( c2_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X64 )
              | ~ ( c0_1 @ X64 )
              | ~ ( c2_1 @ X64 ) ) )
        | hskp12 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ~ ( c0_1 @ X65 )
              | ~ ( c3_1 @ X65 ) ) )
        | ! [X66: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X66 )
              | ~ ( c0_1 @ X66 )
              | ~ ( c1_1 @ X66 ) ) )
        | ! [X67: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X67 )
              | ~ ( c1_1 @ X67 )
              | ~ ( c3_1 @ X67 ) ) ) )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ~ ( c0_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | hskp19
        | hskp4 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X69 )
              | ~ ( c2_1 @ X69 )
              | ~ ( c3_1 @ X69 ) ) )
        | hskp1
        | hskp4 )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X70 )
              | ~ ( c2_1 @ X70 )
              | ~ ( c3_1 @ X70 ) ) )
        | hskp24
        | hskp21 )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X71 )
              | ~ ( c2_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | hskp3
        | hskp4 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X72 )
              | ( c3_1 @ X72 )
              | ~ ( c0_1 @ X72 ) ) )
        | ! [X73: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X73 )
              | ~ ( c0_1 @ X73 )
              | ~ ( c1_1 @ X73 ) ) )
        | hskp14 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X74 )
              | ( c3_1 @ X74 )
              | ~ ( c0_1 @ X74 ) ) )
        | ! [X75: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X75 )
              | ~ ( c0_1 @ X75 )
              | ~ ( c2_1 @ X75 ) ) )
        | hskp25 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X76 )
              | ( c3_1 @ X76 )
              | ~ ( c0_1 @ X76 ) ) )
        | hskp24
        | hskp25 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X77 )
              | ( c3_1 @ X77 )
              | ~ ( c1_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X78 )
              | ~ ( c1_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | hskp26 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X79 )
              | ~ ( c0_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) )
        | hskp12
        | hskp19 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X80 )
              | ~ ( c1_1 @ X80 )
              | ~ ( c3_1 @ X80 ) ) )
        | hskp30
        | hskp21 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X81 )
              | ~ ( c0_1 @ X81 )
              | ~ ( c1_1 @ X81 ) ) )
        | ! [X82: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X82 )
              | ~ ( c2_1 @ X82 )
              | ~ ( c3_1 @ X82 ) ) )
        | hskp3 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X83 )
              | ~ ( c0_1 @ X83 )
              | ~ ( c1_1 @ X83 ) ) )
        | hskp21
        | hskp16 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X84 )
              | ~ ( c0_1 @ X84 )
              | ~ ( c2_1 @ X84 ) ) )
        | hskp2
        | hskp4 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X85 )
              | ~ ( c0_1 @ X85 )
              | ~ ( c2_1 @ X85 ) ) )
        | hskp30
        | hskp16 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X86 )
              | ~ ( c1_1 @ X86 )
              | ~ ( c2_1 @ X86 ) ) )
        | hskp7
        | hskp19 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X87 )
              | ~ ( c1_1 @ X87 )
              | ~ ( c2_1 @ X87 ) ) )
        | hskp2
        | hskp18 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X88 )
              | ~ ( c1_1 @ X88 )
              | ~ ( c2_1 @ X88 ) ) )
        | hskp13
        | hskp18 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X89 )
              | ~ ( c2_1 @ X89 )
              | ~ ( c3_1 @ X89 ) ) )
        | hskp8
        | hskp5 )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X90 )
              | ~ ( c2_1 @ X90 )
              | ~ ( c3_1 @ X90 ) ) )
        | hskp25
        | hskp23 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X91 )
              | ~ ( c2_1 @ X91 )
              | ~ ( c3_1 @ X91 ) ) )
        | hskp27
        | hskp9 )
      & ( hskp29
        | hskp27
        | hskp3 )
      & ( hskp28
        | hskp0
        | hskp13 )
      & ( hskp28
        | hskp26
        | hskp16 )
      & ( hskp1
        | hskp14
        | hskp20 )
      & ( hskp6
        | hskp11
        | hskp30 )
      & ( hskp6
        | hskp12
        | hskp0 )
      & ( hskp31
        | hskp7
        | hskp14 )
      & ( hskp31
        | hskp22
        | hskp18 )
      & ( hskp8
        | hskp10
        | hskp19 )
      & ( hskp24
        | hskp22
        | hskp13 )
      & ( hskp3
        | hskp14
        | hskp22 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c1_1 @ a2276 )
        & ( c3_1 @ a2276 )
        & ~ ( c0_1 @ a2276 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c0_1 @ a2277 )
        & ( c1_1 @ a2277 )
        & ~ ( c2_1 @ a2277 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c0_1 @ a2279 )
        & ~ ( c2_1 @ a2279 )
        & ~ ( c3_1 @ a2279 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c1_1 @ a2280 )
        & ( c3_1 @ a2280 )
        & ~ ( c2_1 @ a2280 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c2_1 @ a2282 )
        & ~ ( c0_1 @ a2282 )
        & ~ ( c3_1 @ a2282 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ ( c0_1 @ a2284 )
        & ~ ( c1_1 @ a2284 )
        & ~ ( c3_1 @ a2284 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c0_1 @ a2285 )
        & ( c1_1 @ a2285 )
        & ~ ( c3_1 @ a2285 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c1_1 @ a2286 )
        & ~ ( c0_1 @ a2286 )
        & ~ ( c2_1 @ a2286 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c0_1 @ a2287 )
        & ( c2_1 @ a2287 )
        & ~ ( c1_1 @ a2287 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ ( c0_1 @ a2291 )
        & ~ ( c1_1 @ a2291 )
        & ~ ( c2_1 @ a2291 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c0_1 @ a2293 )
        & ( c2_1 @ a2293 )
        & ~ ( c3_1 @ a2293 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c0_1 @ a2294 )
        & ~ ( c1_1 @ a2294 )
        & ~ ( c2_1 @ a2294 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c0_1 @ a2295 )
        & ~ ( c1_1 @ a2295 )
        & ~ ( c3_1 @ a2295 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c2_1 @ a2299 )
        & ~ ( c1_1 @ a2299 )
        & ~ ( c3_1 @ a2299 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c2_1 @ a2302 )
        & ( c3_1 @ a2302 )
        & ~ ( c0_1 @ a2302 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c1_1 @ a2303 )
        & ( c2_1 @ a2303 )
        & ~ ( c3_1 @ a2303 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ ( c0_1 @ a2304 )
        & ~ ( c2_1 @ a2304 )
        & ~ ( c3_1 @ a2304 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ ( c1_1 @ a2306 )
        & ~ ( c2_1 @ a2306 )
        & ~ ( c3_1 @ a2306 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c3_1 @ a2308 )
        & ~ ( c1_1 @ a2308 )
        & ~ ( c2_1 @ a2308 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c1_1 @ a2316 )
        & ~ ( c2_1 @ a2316 )
        & ~ ( c3_1 @ a2316 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c2_1 @ a2323 )
        & ( c3_1 @ a2323 )
        & ~ ( c1_1 @ a2323 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c1_1 @ a2324 )
        & ~ ( c0_1 @ a2324 )
        & ~ ( c3_1 @ a2324 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c2_1 @ a2325 )
        & ~ ( c0_1 @ a2325 )
        & ~ ( c1_1 @ a2325 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c3_1 @ a2327 )
        & ~ ( c0_1 @ a2327 )
        & ~ ( c2_1 @ a2327 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c0_1 @ a2337 )
        & ( c3_1 @ a2337 )
        & ~ ( c1_1 @ a2337 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c0_1 @ a2342 )
        & ( c3_1 @ a2342 )
        & ~ ( c2_1 @ a2342 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c3_1 @ a2345 )
        & ~ ( c0_1 @ a2345 )
        & ~ ( c1_1 @ a2345 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c1_1 @ a2367 )
        & ( c2_1 @ a2367 )
        & ~ ( c0_1 @ a2367 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a2278 )
        & ( c1_1 @ a2278 )
        & ( c3_1 @ a2278 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a2309 )
        & ( c1_1 @ a2309 )
        & ( c2_1 @ a2309 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c1_1 @ a2315 )
        & ( c2_1 @ a2315 )
        & ( c3_1 @ a2315 ) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ( c0_1 @ a2387 )
        & ( c2_1 @ a2387 )
        & ( c3_1 @ a2387 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c1_1 @ V )
            | ~ ( c3_1 @ V ) ) )
      | hskp0 )
    & ( ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ( c1_1 @ W )
            | ( c2_1 @ W ) ) )
      | ! [X: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X )
            | ( c3_1 @ X )
            | ~ ( c2_1 @ X ) ) )
      | hskp1 )
    & ( ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c1_1 @ Y )
            | ( c2_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c2_1 @ Z )
            | ~ ( c1_1 @ Z )
            | ~ ( c3_1 @ Z ) ) )
      | hskp28 )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c2_1 @ X1 ) ) )
      | hskp2
      | hskp3 )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c2_1 @ X2 ) ) )
      | hskp0
      | hskp4 )
    & ( ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c1_1 @ X3 )
            | ~ ( c2_1 @ X3 ) ) )
      | ! [X4: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X4 )
            | ~ ( c2_1 @ X4 )
            | ~ ( c3_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X5 )
            | ~ ( c1_1 @ X5 )
            | ~ ( c3_1 @ X5 ) ) ) )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c1_1 @ X6 )
            | ~ ( c2_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X7 )
            | ~ ( c1_1 @ X7 )
            | ~ ( c3_1 @ X7 ) ) )
      | hskp1 )
    & ( ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ( c1_1 @ X8 )
            | ~ ( c3_1 @ X8 ) ) )
      | ! [X9: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X9 )
            | ~ ( c0_1 @ X9 )
            | ~ ( c2_1 @ X9 ) ) )
      | hskp5 )
    & ( ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ~ ( c3_1 @ X10 ) ) )
      | hskp6
      | hskp7 )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c1_1 @ X11 )
            | ~ ( c3_1 @ X11 ) ) )
      | hskp8
      | hskp7 )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c2_1 @ X12 )
            | ( c3_1 @ X12 ) ) )
      | ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c2_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ~ ( c1_1 @ X14 )
            | ~ ( c2_1 @ X14 ) ) ) )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c2_1 @ X15 )
            | ( c3_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X16 )
            | ( c3_1 @ X16 )
            | ~ ( c0_1 @ X16 ) ) )
      | hskp5 )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c2_1 @ X17 )
            | ( c3_1 @ X17 ) ) )
      | hskp28
      | hskp9 )
    & ( ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ( c2_1 @ X18 )
            | ( c3_1 @ X18 ) ) )
      | hskp6
      | hskp10 )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c2_1 @ X19 )
            | ( c3_1 @ X19 ) ) )
      | hskp11
      | hskp12 )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c2_1 @ X20 )
            | ~ ( c1_1 @ X20 ) ) )
      | hskp28
      | hskp8 )
    & ( ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c2_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) )
      | hskp4
      | hskp13 )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c3_1 @ X22 )
            | ~ ( c1_1 @ X22 ) ) )
      | ! [X23: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X23 )
            | ( c3_1 @ X23 )
            | ~ ( c0_1 @ X23 ) ) )
      | hskp11 )
    & ( ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c3_1 @ X24 )
            | ~ ( c1_1 @ X24 ) ) )
      | hskp1
      | hskp14 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c3_1 @ X25 )
            | ~ ( c1_1 @ X25 ) ) )
      | hskp15
      | hskp16 )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c3_1 @ X26 )
            | ~ ( c2_1 @ X26 ) ) )
      | hskp14
      | hskp17 )
    & ( ! [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 ) ) )
      | hskp17 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ~ ( c1_1 @ X29 )
            | ~ ( c2_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X30 )
            | ~ ( c0_1 @ X30 )
            | ~ ( c2_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X31 )
            | ~ ( c1_1 @ X31 )
            | ~ ( c2_1 @ X31 ) ) ) )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ~ ( c1_1 @ X32 )
            | ~ ( c2_1 @ X32 ) ) )
      | ! [X33: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X33 )
            | ~ ( c2_1 @ X33 )
            | ~ ( c3_1 @ X33 ) ) )
      | hskp18 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ~ ( c1_1 @ X34 )
            | ~ ( c2_1 @ X34 ) ) )
      | hskp29
      | hskp8 )
    & ( ! [X35: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X35 )
            | ~ ( c1_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) )
      | ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ~ ( c2_1 @ X36 )
            | ~ ( c3_1 @ X36 ) ) )
      | hskp0 )
    & ( ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ~ ( c1_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) )
      | hskp14
      | hskp17 )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ~ ( c2_1 @ X38 )
            | ~ ( c3_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X39 )
            | ( c3_1 @ X39 )
            | ~ ( c0_1 @ X39 ) ) )
      | hskp8 )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ~ ( c2_1 @ X40 )
            | ~ ( c3_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X41 )
            | ( c3_1 @ X41 )
            | ~ ( c2_1 @ X41 ) ) )
      | hskp30 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ~ ( c2_1 @ X42 )
            | ~ ( c3_1 @ X42 ) ) )
      | ! [X43: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X43 )
            | ( c3_1 @ X43 )
            | ~ ( c1_1 @ X43 ) ) )
      | hskp19 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ~ ( c2_1 @ X44 )
            | ~ ( c3_1 @ X44 ) ) )
      | hskp29
      | hskp8 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ~ ( c2_1 @ X45 )
            | ~ ( c3_1 @ X45 ) ) )
      | hskp12
      | hskp13 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ~ ( c2_1 @ X46 )
            | ~ ( c3_1 @ X46 ) ) )
      | hskp30
      | hskp19 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X47 )
            | ~ ( c2_1 @ X47 )
            | ~ ( c3_1 @ X47 ) ) )
      | hskp20 )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X48 )
            | ( c2_1 @ X48 )
            | ( c3_1 @ X48 ) ) )
      | ! [X49: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X49 )
            | ~ ( c0_1 @ X49 )
            | ~ ( c3_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X50 )
            | ~ ( c1_1 @ X50 )
            | ~ ( c2_1 @ X50 ) ) ) )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X51 )
            | ( c2_1 @ X51 )
            | ( c3_1 @ X51 ) ) )
      | hskp21
      | hskp22 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X52 )
            | ( c2_1 @ X52 )
            | ~ ( c0_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X53 )
            | ~ ( c2_1 @ X53 )
            | ~ ( c3_1 @ X53 ) ) )
      | hskp0 )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X54 )
            | ( c3_1 @ X54 )
            | ~ ( c0_1 @ X54 ) ) )
      | ! [X55: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X55 )
            | ( c3_1 @ X55 )
            | ~ ( c0_1 @ X55 ) ) )
      | hskp23 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X56 )
            | ( c3_1 @ X56 )
            | ~ ( c0_1 @ X56 ) ) )
      | ! [X57: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X57 )
            | ~ ( c1_1 @ X57 )
            | ~ ( c2_1 @ X57 ) ) )
      | hskp1 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X58 )
            | ( c3_1 @ X58 )
            | ~ ( c0_1 @ X58 ) ) )
      | hskp12 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X59 )
            | ( c3_1 @ X59 )
            | ~ ( c2_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X60 )
            | ~ ( c0_1 @ X60 )
            | ~ ( c1_1 @ X60 ) ) )
      | hskp23 )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X61 )
            | ( c3_1 @ X61 )
            | ~ ( c2_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X62 )
            | ~ ( c1_1 @ X62 )
            | ~ ( c3_1 @ X62 ) ) )
      | hskp0 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X63 )
            | ~ ( c0_1 @ X63 )
            | ~ ( c2_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X64 )
            | ~ ( c0_1 @ X64 )
            | ~ ( c2_1 @ X64 ) ) )
      | hskp12 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ~ ( c0_1 @ X65 )
            | ~ ( c3_1 @ X65 ) ) )
      | ! [X66: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X66 )
            | ~ ( c0_1 @ X66 )
            | ~ ( c1_1 @ X66 ) ) )
      | ! [X67: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X67 )
            | ~ ( c1_1 @ X67 )
            | ~ ( c3_1 @ X67 ) ) ) )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ~ ( c0_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | hskp19
      | hskp4 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X69 )
            | ~ ( c2_1 @ X69 )
            | ~ ( c3_1 @ X69 ) ) )
      | hskp1
      | hskp4 )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X70 )
            | ~ ( c2_1 @ X70 )
            | ~ ( c3_1 @ X70 ) ) )
      | hskp24
      | hskp21 )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X71 )
            | ~ ( c2_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | hskp3
      | hskp4 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X72 )
            | ( c3_1 @ X72 )
            | ~ ( c0_1 @ X72 ) ) )
      | ! [X73: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X73 )
            | ~ ( c0_1 @ X73 )
            | ~ ( c1_1 @ X73 ) ) )
      | hskp14 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X74 )
            | ( c3_1 @ X74 )
            | ~ ( c0_1 @ X74 ) ) )
      | ! [X75: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X75 )
            | ~ ( c0_1 @ X75 )
            | ~ ( c2_1 @ X75 ) ) )
      | hskp25 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X76 )
            | ( c3_1 @ X76 )
            | ~ ( c0_1 @ X76 ) ) )
      | hskp24
      | hskp25 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X77 )
            | ( c3_1 @ X77 )
            | ~ ( c1_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X78 )
            | ~ ( c1_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | hskp26 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X79 )
            | ~ ( c0_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) )
      | hskp12
      | hskp19 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X80 )
            | ~ ( c1_1 @ X80 )
            | ~ ( c3_1 @ X80 ) ) )
      | hskp30
      | hskp21 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X81 )
            | ~ ( c0_1 @ X81 )
            | ~ ( c1_1 @ X81 ) ) )
      | ! [X82: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X82 )
            | ~ ( c2_1 @ X82 )
            | ~ ( c3_1 @ X82 ) ) )
      | hskp3 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X83 )
            | ~ ( c0_1 @ X83 )
            | ~ ( c1_1 @ X83 ) ) )
      | hskp21
      | hskp16 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X84 )
            | ~ ( c0_1 @ X84 )
            | ~ ( c2_1 @ X84 ) ) )
      | hskp2
      | hskp4 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X85 )
            | ~ ( c0_1 @ X85 )
            | ~ ( c2_1 @ X85 ) ) )
      | hskp30
      | hskp16 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X86 )
            | ~ ( c1_1 @ X86 )
            | ~ ( c2_1 @ X86 ) ) )
      | hskp7
      | hskp19 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X87 )
            | ~ ( c1_1 @ X87 )
            | ~ ( c2_1 @ X87 ) ) )
      | hskp2
      | hskp18 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X88 )
            | ~ ( c1_1 @ X88 )
            | ~ ( c2_1 @ X88 ) ) )
      | hskp13
      | hskp18 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X89 )
            | ~ ( c2_1 @ X89 )
            | ~ ( c3_1 @ X89 ) ) )
      | hskp8
      | hskp5 )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X90 )
            | ~ ( c2_1 @ X90 )
            | ~ ( c3_1 @ X90 ) ) )
      | hskp25
      | hskp23 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X91 )
            | ~ ( c2_1 @ X91 )
            | ~ ( c3_1 @ X91 ) ) )
      | hskp27
      | hskp9 )
    & ( hskp29
      | hskp27
      | hskp3 )
    & ( hskp28
      | hskp0
      | hskp13 )
    & ( hskp28
      | hskp26
      | hskp16 )
    & ( hskp1
      | hskp14
      | hskp20 )
    & ( hskp6
      | hskp11
      | hskp30 )
    & ( hskp6
      | hskp12
      | hskp0 )
    & ( hskp31
      | hskp7
      | hskp14 )
    & ( hskp31
      | hskp22
      | hskp18 )
    & ( hskp8
      | hskp10
      | hskp19 )
    & ( hskp24
      | hskp22
      | hskp13 )
    & ( hskp3
      | hskp14
      | hskp22 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp28
    | ( c1_1 @ a2278 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl518,plain,
    ( ( c1_1 @ a2278 )
   <= ( c1_1 @ a2278 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl50,plain,
    ! [X57: $i] :
      ( ( c0_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ( c2_1 @ X57 )
      | ~ ndr1_0
      | hskp29
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl390,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1623,plain,
    ( ( ( c0_1 @ a2278 )
      | ~ ( c2_1 @ a2278 ) )
   <= ( ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
      & ( c1_1 @ a2278 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl390]) ).

thf('0',plain,
    ( ( c0_1 @ a2278 )
    | ~ ( c2_1 @ a2278 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
    | ~ ( c1_1 @ a2278 ) ),
    inference(split,[status(esa)],[zip_derived_cl1623]) ).

thf(zip_derived_cl197,plain,
    ( ~ hskp1
    | ( c1_1 @ a2277 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl734,plain,
    ( ( c1_1 @ a2277 )
   <= ( c1_1 @ a2277 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl19,plain,
    ! [X8: $i] :
      ( ( c3_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ndr1_0
      | hskp21
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl268,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1516,plain,
    ( ( ( c3_1 @ a2277 )
      | ~ ( c0_1 @ a2277 ) )
   <= ( ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ( c1_1 @ a2277 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl268]) ).

thf('1',plain,
    ( ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ( c3_1 @ a2277 )
    | ~ ( c1_1 @ a2277 )
    | ~ ( c0_1 @ a2277 ) ),
    inference(split,[status(esa)],[zip_derived_cl1516]) ).

thf(zip_derived_cl37,plain,
    ! [X36: $i,X37: $i] :
      ( ( c1_1 @ X36 )
      | ( c3_1 @ X36 )
      | ~ ( c0_1 @ X36 )
      | ~ ndr1_0
      | ( c2_1 @ X37 )
      | ( c3_1 @ X37 )
      | ~ ( c0_1 @ X37 )
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( hskp23
    | ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
    | ~ ndr1_0
    | ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl35,plain,
    ! [X33: $i] :
      ( ( c1_1 @ X33 )
      | ( c3_1 @ X33 )
      | ~ ( c0_1 @ X33 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl332,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl132,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a2306 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl604,plain,
    ( ~ ( c1_1 @ a2306 )
   <= ~ ( c1_1 @ a2306 ) ),
    inference(split,[status(esa)],[zip_derived_cl132]) ).

thf(zip_derived_cl1268,plain,
    ( ( ~ ( c0_1 @ a2306 )
      | ( c3_1 @ a2306 ) )
   <= ( ~ ( c1_1 @ a2306 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c3_1 @ X33 )
          | ~ ( c0_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl604]) ).

thf('3',plain,
    ( ~ ( c0_1 @ a2306 )
    | ( c3_1 @ a2306 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c3_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
    | ( c1_1 @ a2306 ) ),
    inference(split,[status(esa)],[zip_derived_cl1268]) ).

thf(zip_derived_cl51,plain,
    ! [X58: $i,X59: $i] :
      ( ( c0_1 @ X58 )
      | ~ ( c1_1 @ X58 )
      | ~ ( c2_1 @ X58 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X59 )
      | ~ ( c2_1 @ X59 )
      | ~ ( c3_1 @ X59 )
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( hskp18
    | ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
    | ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl734_001,plain,
    ( ( c1_1 @ a2277 )
   <= ( c1_1 @ a2277 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl23,plain,
    ! [X13: $i,X14: $i] :
      ( ( c2_1 @ X13 )
      | ( c3_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X14 )
      | ~ ( c1_1 @ X14 )
      | ~ ( c3_1 @ X14 )
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl285,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1518,plain,
    ( ( ( c2_1 @ a2277 )
      | ( c3_1 @ a2277 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ( c1_1 @ a2277 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl285]) ).

thf('5',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ( c3_1 @ a2277 )
    | ( c2_1 @ a2277 )
    | ~ ( c1_1 @ a2277 ) ),
    inference(split,[status(esa)],[zip_derived_cl1518]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp29
    | ( c2_1 @ a2309 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl512,plain,
    ( ( c2_1 @ a2309 )
   <= ( c2_1 @ a2309 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl17,plain,
    ! [X6: $i] :
      ( ( c3_1 @ X6 )
      | ~ ( c0_1 @ X6 )
      | ~ ( c2_1 @ X6 )
      | ~ ndr1_0
      | hskp30
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl260,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_cl17]) ).

thf(zip_derived_cl1224,plain,
    ( ( ( c3_1 @ a2309 )
      | ~ ( c0_1 @ a2309 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c2_1 @ a2309 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl260]) ).

thf('6',plain,
    ( ~ ( c0_1 @ a2309 )
    | ~ ( c2_1 @ a2309 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ( c3_1 @ a2309 ) ),
    inference(split,[status(esa)],[zip_derived_cl1224]) ).

thf(zip_derived_cl512_002,plain,
    ( ( c2_1 @ a2309 )
   <= ( c2_1 @ a2309 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl20,plain,
    ! [X9: $i,X10: $i] :
      ( ( c3_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ( c1_1 @ X9 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X10 )
      | ~ ( c2_1 @ X10 )
      | ~ ( c3_1 @ X10 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl272,plain,
    ( ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1225,plain,
    ( ( ~ ( c0_1 @ a2309 )
      | ~ ( c3_1 @ a2309 ) )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c2_1 @ a2309 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl272]) ).

thf('7',plain,
    ( ~ ( c3_1 @ a2309 )
    | ~ ( c0_1 @ a2309 )
    | ~ ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c2_1 @ a2309 ) ),
    inference(split,[status(esa)],[zip_derived_cl1225]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp23
    | ~ ( c0_1 @ a2327 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( ~ ( c0_1 @ a2327 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp23
    | ~ ( c2_1 @ a2327 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( ~ ( c2_1 @ a2327 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl58,plain,
    ! [X70: $i] :
      ( ( c0_1 @ X70 )
      | ( c2_1 @ X70 )
      | ~ ( c3_1 @ X70 )
      | ~ ndr1_0
      | hskp4
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl422,plain,
    ( ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c3_1 @ X70 ) )
   <= ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c3_1 @ X70 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl560,plain,
    ( ~ ( c2_1 @ a2327 )
   <= ~ ( c2_1 @ a2327 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl1781,plain,
    ( ( ~ ( c3_1 @ a2327 )
      | ( c0_1 @ a2327 ) )
   <= ( ~ ( c2_1 @ a2327 )
      & ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c2_1 @ X70 )
          | ~ ( c3_1 @ X70 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl560]) ).

thf('10',plain,
    ( ~ ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c2_1 @ X70 )
          | ~ ( c3_1 @ X70 ) )
    | ~ ( c3_1 @ a2327 )
    | ( c0_1 @ a2327 )
    | ( c2_1 @ a2327 ) ),
    inference(split,[status(esa)],[zip_derived_cl1781]) ).

thf(zip_derived_cl34,plain,
    ! [X31: $i,X32: $i] :
      ( ( c1_1 @ X31 )
      | ( c3_1 @ X31 )
      | ~ ( c2_1 @ X31 )
      | ~ ndr1_0
      | ( c3_1 @ X32 )
      | ~ ( c0_1 @ X32 )
      | ~ ( c1_1 @ X32 )
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( hskp23
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
    | ~ ndr1_0
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl108,plain,
    ( ~ hskp23
    | ( c3_1 @ a2327 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('12',plain,
    ( ( c3_1 @ a2327 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl108]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp6
    | ( c1_1 @ a2285 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl694,plain,
    ( ( c1_1 @ a2285 )
   <= ( c1_1 @ a2285 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl16,plain,
    ! [X5: $i] :
      ( ( c3_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ndr1_0
      | hskp7
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl256,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1483,plain,
    ( ( ( c3_1 @ a2285 )
      | ~ ( c2_1 @ a2285 ) )
   <= ( ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c1_1 @ a2285 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl694,zip_derived_cl256]) ).

thf('13',plain,
    ( ~ ( c2_1 @ a2285 )
    | ( c3_1 @ a2285 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c1_1 @ a2285 ) ),
    inference(split,[status(esa)],[zip_derived_cl1483]) ).

thf(zip_derived_cl120,plain,
    ( ~ hskp20
    | ( c2_1 @ a2323 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl580,plain,
    ( ( c2_1 @ a2323 )
   <= ( c2_1 @ a2323 ) ),
    inference(split,[status(esa)],[zip_derived_cl120]) ).

thf(zip_derived_cl272_003,plain,
    ( ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1327,plain,
    ( ( ~ ( c0_1 @ a2323 )
      | ~ ( c3_1 @ a2323 ) )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c2_1 @ a2323 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl580,zip_derived_cl272]) ).

thf('14',plain,
    ( ~ ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c0_1 @ a2323 )
    | ~ ( c2_1 @ a2323 )
    | ~ ( c3_1 @ a2323 ) ),
    inference(split,[status(esa)],[zip_derived_cl1327]) ).

thf(zip_derived_cl39,plain,
    ! [X40: $i] :
      ( ( c1_1 @ X40 )
      | ( c2_1 @ X40 )
      | ( c3_1 @ X40 )
      | ~ ndr1_0
      | hskp21
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl347,plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a2294 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl654,plain,
    ( ~ ( c1_1 @ a2294 )
   <= ~ ( c1_1 @ a2294 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl1453,plain,
    ( ( ( c3_1 @ a2294 )
      | ( c2_1 @ a2294 ) )
   <= ( ~ ( c1_1 @ a2294 )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl654]) ).

thf('15',plain,
    ( ( c3_1 @ a2294 )
    | ( c2_1 @ a2294 )
    | ~ ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ( c3_1 @ X40 ) )
    | ( c1_1 @ a2294 ) ),
    inference(split,[status(esa)],[zip_derived_cl1453]) ).

thf(zip_derived_cl80,plain,
    ( ~ hskp30
    | ( c1_1 @ a2315 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl500,plain,
    ( ( c1_1 @ a2315 )
   <= ( c1_1 @ a2315 ) ),
    inference(split,[status(esa)],[zip_derived_cl80]) ).

thf(zip_derived_cl284,plain,
    ( ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1202,plain,
    ( ( ~ ( c0_1 @ a2315 )
      | ~ ( c3_1 @ a2315 ) )
   <= ( ! [X14: $i] :
          ( ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c1_1 @ a2315 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl500,zip_derived_cl284]) ).

thf('16',plain,
    ( ~ ( c0_1 @ a2315 )
    | ~ ! [X14: $i] :
          ( ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c1_1 @ a2315 )
    | ~ ( c3_1 @ a2315 ) ),
    inference(split,[status(esa)],[zip_derived_cl1202]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp30
    | ( c2_1 @ a2315 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl502,plain,
    ( ( c2_1 @ a2315 )
   <= ( c2_1 @ a2315 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl272_004,plain,
    ( ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1213,plain,
    ( ( ~ ( c0_1 @ a2315 )
      | ~ ( c3_1 @ a2315 ) )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c2_1 @ a2315 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl502,zip_derived_cl272]) ).

thf('17',plain,
    ( ~ ( c0_1 @ a2315 )
    | ~ ( c3_1 @ a2315 )
    | ~ ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c2_1 @ a2315 ) ),
    inference(split,[status(esa)],[zip_derived_cl1213]) ).

thf(zip_derived_cl104,plain,
    ( ~ hskp24
    | ( c0_1 @ a2337 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl548,plain,
    ( ( c0_1 @ a2337 )
   <= ( c0_1 @ a2337 ) ),
    inference(split,[status(esa)],[zip_derived_cl104]) ).

thf(zip_derived_cl22,plain,
    ! [X12: $i] :
      ( ( c2_1 @ X12 )
      | ~ ( c0_1 @ X12 )
      | ~ ( c3_1 @ X12 )
      | ~ ndr1_0
      | hskp12
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl280,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl272_005,plain,
    ( ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl809,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl272]) ).

thf(zip_derived_cl835,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl809]) ).

thf(zip_derived_cl1302,plain,
    ( ~ ( c3_1 @ a2337 )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ( c0_1 @ a2337 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl548,zip_derived_cl835]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp24
    | ( c3_1 @ a2337 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl550,plain,
    ( ( c3_1 @ a2337 )
   <= ( c3_1 @ a2337 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf('18',plain,
    ( ~ ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c0_1 @ a2337 )
    | ~ ( c3_1 @ a2337 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1302,zip_derived_cl550]) ).

thf('19',plain,
    ( ( c0_1 @ a2337 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl104]) ).

thf('20',plain,
    ( ( c3_1 @ a2337 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl24,plain,
    ! [X15: $i] :
      ( ( c2_1 @ X15 )
      | ( c3_1 @ X15 )
      | ~ ( c0_1 @ X15 )
      | ~ ndr1_0
      | hskp24
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('21',plain,
    ( hskp24
    | hskp25
    | ~ ndr1_0
    | ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl694_006,plain,
    ( ( c1_1 @ a2285 )
   <= ( c1_1 @ a2285 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl285_007,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1486,plain,
    ( ( ( c2_1 @ a2285 )
      | ( c3_1 @ a2285 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ( c1_1 @ a2285 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl694,zip_derived_cl285]) ).

thf('22',plain,
    ( ( c2_1 @ a2285 )
    | ( c3_1 @ a2285 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ~ ( c1_1 @ a2285 ) ),
    inference(split,[status(esa)],[zip_derived_cl1486]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp15
    | ( c2_1 @ a2303 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl622,plain,
    ( ( c2_1 @ a2303 )
   <= ( c2_1 @ a2303 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl260_008,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_cl17]) ).

thf(zip_derived_cl1356,plain,
    ( ( ( c3_1 @ a2303 )
      | ~ ( c0_1 @ a2303 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c2_1 @ a2303 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl622,zip_derived_cl260]) ).

thf('23',plain,
    ( ~ ( c0_1 @ a2303 )
    | ( c3_1 @ a2303 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c2_1 @ a2303 ) ),
    inference(split,[status(esa)],[zip_derived_cl1356]) ).

thf(zip_derived_cl347_009,plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a2291 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl670,plain,
    ( ~ ( c1_1 @ a2291 )
   <= ~ ( c1_1 @ a2291 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl1452,plain,
    ( ( ( c3_1 @ a2291 )
      | ( c2_1 @ a2291 ) )
   <= ( ~ ( c1_1 @ a2291 )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl670]) ).

thf('24',plain,
    ( ( c3_1 @ a2291 )
    | ( c2_1 @ a2291 )
    | ~ ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ( c3_1 @ X40 ) )
    | ( c1_1 @ a2291 ) ),
    inference(split,[status(esa)],[zip_derived_cl1452]) ).

thf(zip_derived_cl65,plain,
    ! [X80: $i] :
      ( ( c0_1 @ X80 )
      | ( c1_1 @ X80 )
      | ~ ( c3_1 @ X80 )
      | ~ ndr1_0
      | hskp8
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl450,plain,
    ( ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c1_1 @ X80 )
        | ~ ( c3_1 @ X80 ) )
   <= ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c1_1 @ X80 )
        | ~ ( c3_1 @ X80 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl670_010,plain,
    ( ~ ( c1_1 @ a2291 )
   <= ~ ( c1_1 @ a2291 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl1881,plain,
    ( ( ~ ( c3_1 @ a2291 )
      | ( c0_1 @ a2291 ) )
   <= ( ~ ( c1_1 @ a2291 )
      & ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c1_1 @ X80 )
          | ~ ( c3_1 @ X80 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl670]) ).

thf('25',plain,
    ( ~ ( c3_1 @ a2291 )
    | ( c1_1 @ a2291 )
    | ~ ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c1_1 @ X80 )
          | ~ ( c3_1 @ X80 ) )
    | ( c0_1 @ a2291 ) ),
    inference(split,[status(esa)],[zip_derived_cl1881]) ).

thf(zip_derived_cl100,plain,
    ( ~ hskp25
    | ( c0_1 @ a2342 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('26',plain,
    ( ( c0_1 @ a2342 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl100]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp25
    | ( c3_1 @ a2342 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( ( c3_1 @ a2342 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp25
    | ~ ( c2_1 @ a2342 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( ~ ( c2_1 @ a2342 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl280_011,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl544,plain,
    ( ~ ( c2_1 @ a2342 )
   <= ~ ( c2_1 @ a2342 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl821,plain,
    ( ( ~ ( c3_1 @ a2342 )
      | ~ ( c0_1 @ a2342 ) )
   <= ( ~ ( c2_1 @ a2342 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl544]) ).

thf('29',plain,
    ( ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c0_1 @ a2342 )
    | ( c2_1 @ a2342 )
    | ~ ( c3_1 @ a2342 ) ),
    inference(split,[status(esa)],[zip_derived_cl821]) ).

thf(zip_derived_cl25,plain,
    ! [X16: $i,X17: $i] :
      ( ( c2_1 @ X16 )
      | ( c3_1 @ X16 )
      | ~ ( c0_1 @ X16 )
      | ~ ndr1_0
      | ( c3_1 @ X17 )
      | ~ ( c0_1 @ X17 )
      | ~ ( c2_1 @ X17 )
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('30',plain,
    ( hskp25
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | ~ ndr1_0
    | ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl694_012,plain,
    ( ( c1_1 @ a2285 )
   <= ( c1_1 @ a2285 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl21,plain,
    ! [X11: $i] :
      ( ( c2_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ( c3_1 @ X11 )
      | ~ ndr1_0
      | hskp30
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl276,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1485,plain,
    ( ( ( c2_1 @ a2285 )
      | ~ ( c3_1 @ a2285 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c1_1 @ a2285 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl694,zip_derived_cl276]) ).

thf(zip_derived_cl5073,plain,
    ( ( c2_1 @ a2285 )
   <= ( c2_1 @ a2285 ) ),
    inference(split,[status(esa)],[zip_derived_cl1485]) ).

thf(zip_derived_cl260_013,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_cl17]) ).

thf(zip_derived_cl5097,plain,
    ( ( ( c3_1 @ a2285 )
      | ~ ( c0_1 @ a2285 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c2_1 @ a2285 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5073,zip_derived_cl260]) ).

thf('31',plain,
    ( ~ ( c2_1 @ a2285 )
    | ( c3_1 @ a2285 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c0_1 @ a2285 ) ),
    inference(split,[status(esa)],[zip_derived_cl5097]) ).

thf(zip_derived_cl74,plain,
    ! [X95: $i,X96: $i] :
      ( ( c0_1 @ X95 )
      | ( c1_1 @ X95 )
      | ( c2_1 @ X95 )
      | ~ ndr1_0
      | ( c0_1 @ X96 )
      | ( c1_1 @ X96 )
      | ~ ( c3_1 @ X96 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('32',plain,
    ( hskp0
    | ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c1_1 @ X80 )
        | ~ ( c3_1 @ X80 ) )
    | ~ ndr1_0
    | ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ( c2_1 @ X89 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl68,plain,
    ! [X84: $i,X85: $i] :
      ( ( c0_1 @ X84 )
      | ( c1_1 @ X84 )
      | ~ ( c2_1 @ X84 )
      | ~ ndr1_0
      | ( c2_1 @ X85 )
      | ~ ( c1_1 @ X85 )
      | ~ ( c3_1 @ X85 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl463,plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c2_1 @ X84 ) )
   <= ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c2_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp26
    | ~ ( c1_1 @ a2345 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl536,plain,
    ( ~ ( c1_1 @ a2345 )
   <= ~ ( c1_1 @ a2345 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl1959,plain,
    ( ( ~ ( c2_1 @ a2345 )
      | ( c0_1 @ a2345 ) )
   <= ( ~ ( c1_1 @ a2345 )
      & ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c2_1 @ X84 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl536]) ).

thf('33',plain,
    ( ~ ( c2_1 @ a2345 )
    | ( c0_1 @ a2345 )
    | ~ ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c2_1 @ X84 ) )
    | ( c1_1 @ a2345 ) ),
    inference(split,[status(esa)],[zip_derived_cl1959]) ).

thf(zip_derived_cl72,plain,
    ! [X91: $i,X92: $i] :
      ( ( c0_1 @ X91 )
      | ( c1_1 @ X91 )
      | ( c2_1 @ X91 )
      | ~ ndr1_0
      | ( c2_1 @ X92 )
      | ~ ( c1_1 @ X92 )
      | ~ ( c3_1 @ X92 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( hskp28
    | ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ( c2_1 @ X89 ) )
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl27,plain,
    ! [X20: $i] :
      ( ( c1_1 @ X20 )
      | ~ ( c2_1 @ X20 )
      | ~ ( c3_1 @ X20 )
      | ~ ndr1_0
      | hskp3
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl300,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp8
    | ~ ( c1_1 @ a2287 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl680,plain,
    ( ~ ( c1_1 @ a2287 )
   <= ~ ( c1_1 @ a2287 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl944,plain,
    ( ( ~ ( c3_1 @ a2287 )
      | ~ ( c2_1 @ a2287 ) )
   <= ( ~ ( c1_1 @ a2287 )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl300,zip_derived_cl680]) ).

thf('35',plain,
    ( ~ ( c3_1 @ a2287 )
    | ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ( c1_1 @ a2287 )
    | ~ ( c2_1 @ a2287 ) ),
    inference(split,[status(esa)],[zip_derived_cl944]) ).

thf(zip_derived_cl52,plain,
    ! [X60: $i,X61: $i,X62: $i] :
      ( ( c0_1 @ X60 )
      | ~ ( c1_1 @ X60 )
      | ~ ( c2_1 @ X60 )
      | ~ ndr1_0
      | ( c3_1 @ X61 )
      | ~ ( c0_1 @ X61 )
      | ~ ( c2_1 @ X61 )
      | ~ ndr1_0
      | ( c3_1 @ X62 )
      | ~ ( c1_1 @ X62 )
      | ~ ( c2_1 @ X62 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('36',plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl694_014,plain,
    ( ( c1_1 @ a2285 )
   <= ( c1_1 @ a2285 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl26,plain,
    ! [X18: $i,X19: $i] :
      ( ( c2_1 @ X18 )
      | ( c3_1 @ X18 )
      | ~ ( c0_1 @ X18 )
      | ~ ndr1_0
      | ( c2_1 @ X19 )
      | ~ ( c0_1 @ X19 )
      | ~ ( c1_1 @ X19 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl296,plain,
    ( ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1488,plain,
    ( ( ( c2_1 @ a2285 )
      | ~ ( c0_1 @ a2285 ) )
   <= ( ! [X19: $i] :
          ( ( c2_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 ) )
      & ( c1_1 @ a2285 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl694,zip_derived_cl296]) ).

thf('37',plain,
    ( ( c2_1 @ a2285 )
    | ~ ( c1_1 @ a2285 )
    | ~ ! [X19: $i] :
          ( ( c2_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 ) )
    | ~ ( c0_1 @ a2285 ) ),
    inference(split,[status(esa)],[zip_derived_cl1488]) ).

thf(zip_derived_cl140,plain,
    ( ~ hskp15
    | ( c1_1 @ a2303 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl620,plain,
    ( ( c1_1 @ a2303 )
   <= ( c1_1 @ a2303 ) ),
    inference(split,[status(esa)],[zip_derived_cl140]) ).

thf(zip_derived_cl390_015,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1619,plain,
    ( ( ( c0_1 @ a2303 )
      | ~ ( c2_1 @ a2303 ) )
   <= ( ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
      & ( c1_1 @ a2303 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl620,zip_derived_cl390]) ).

thf('38',plain,
    ( ( c0_1 @ a2303 )
    | ~ ( c1_1 @ a2303 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
    | ~ ( c2_1 @ a2303 ) ),
    inference(split,[status(esa)],[zip_derived_cl1619]) ).

thf(zip_derived_cl620_016,plain,
    ( ( c1_1 @ a2303 )
   <= ( c1_1 @ a2303 ) ),
    inference(split,[status(esa)],[zip_derived_cl140]) ).

thf(zip_derived_cl14,plain,
    ! [X3: $i] :
      ( ~ ( c0_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ~ ndr1_0
      | hskp13
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl248,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1349,plain,
    ( ( ~ ( c0_1 @ a2303 )
      | ~ ( c2_1 @ a2303 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a2303 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl620,zip_derived_cl248]) ).

thf('39',plain,
    ( ~ ( c0_1 @ a2303 )
    | ~ ( c1_1 @ a2303 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c2_1 @ a2303 ) ),
    inference(split,[status(esa)],[zip_derived_cl1349]) ).

thf(zip_derived_cl70,plain,
    ! [X89: $i] :
      ( ( c0_1 @ X89 )
      | ( c1_1 @ X89 )
      | ( c2_1 @ X89 )
      | ~ ndr1_0
      | hskp0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl470,plain,
    ( ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ( c2_1 @ X89 ) )
   <= ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ( c2_1 @ X89 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl536_017,plain,
    ( ~ ( c1_1 @ a2345 )
   <= ~ ( c1_1 @ a2345 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl2046,plain,
    ( ( ( c2_1 @ a2345 )
      | ( c0_1 @ a2345 ) )
   <= ( ~ ( c1_1 @ a2345 )
      & ! [X89: $i] :
          ( ( c0_1 @ X89 )
          | ( c1_1 @ X89 )
          | ( c2_1 @ X89 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl536]) ).

thf('40',plain,
    ( ( c2_1 @ a2345 )
    | ( c1_1 @ a2345 )
    | ~ ! [X89: $i] :
          ( ( c0_1 @ X89 )
          | ( c1_1 @ X89 )
          | ( c2_1 @ X89 ) )
    | ( c0_1 @ a2345 ) ),
    inference(split,[status(esa)],[zip_derived_cl2046]) ).

thf(zip_derived_cl620_018,plain,
    ( ( c1_1 @ a2303 )
   <= ( c1_1 @ a2303 ) ),
    inference(split,[status(esa)],[zip_derived_cl140]) ).

thf(zip_derived_cl256_019,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1350,plain,
    ( ( ( c3_1 @ a2303 )
      | ~ ( c2_1 @ a2303 ) )
   <= ( ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c1_1 @ a2303 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl620,zip_derived_cl256]) ).

thf('41',plain,
    ( ~ ( c2_1 @ a2303 )
    | ( c3_1 @ a2303 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c1_1 @ a2303 ) ),
    inference(split,[status(esa)],[zip_derived_cl1350]) ).

thf('42',plain,
    ( ( c1_1 @ a2303 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl140]) ).

thf('43',plain,
    ( ( c2_1 @ a2303 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp15
    | ~ ( c3_1 @ a2303 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('44',plain,
    ( ~ ( c3_1 @ a2303 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl57,plain,
    ! [X68: $i,X69: $i] :
      ( ( c0_1 @ X68 )
      | ( c3_1 @ X68 )
      | ~ ( c1_1 @ X68 )
      | ~ ndr1_0
      | ( c2_1 @ X69 )
      | ( c3_1 @ X69 )
      | ~ ( c0_1 @ X69 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('45',plain,
    ( hskp11
    | ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c1_1 @ X66 ) )
    | ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp13
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('46',plain,
    ( ndr1_0
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl518_020,plain,
    ( ( c1_1 @ a2278 )
   <= ( c1_1 @ a2278 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl284_021,plain,
    ( ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1240,plain,
    ( ( ~ ( c0_1 @ a2278 )
      | ~ ( c3_1 @ a2278 ) )
   <= ( ! [X14: $i] :
          ( ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c1_1 @ a2278 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl284]) ).

thf('47',plain,
    ( ~ ! [X14: $i] :
          ( ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c0_1 @ a2278 )
    | ~ ( c3_1 @ a2278 )
    | ~ ( c1_1 @ a2278 ) ),
    inference(split,[status(esa)],[zip_derived_cl1240]) ).

thf(zip_derived_cl9,plain,
    ( hskp28
    | hskp0
    | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( hskp13
    | hskp0
    | hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl192,plain,
    ( ~ hskp2
    | ( c0_1 @ a2279 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( ( c0_1 @ a2279 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a2279 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('50',plain,
    ( ~ ( c2_1 @ a2279 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp2
    | ~ ( c3_1 @ a2279 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('51',plain,
    ( ~ ( c3_1 @ a2279 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl288,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl726,plain,
    ( ~ ( c2_1 @ a2279 )
   <= ~ ( c2_1 @ a2279 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl859,plain,
    ( ( ~ ( c0_1 @ a2279 )
      | ( c3_1 @ a2279 ) )
   <= ( ~ ( c2_1 @ a2279 )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl726]) ).

thf('52',plain,
    ( ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) )
    | ( c2_1 @ a2279 )
    | ( c3_1 @ a2279 )
    | ~ ( c0_1 @ a2279 ) ),
    inference(split,[status(esa)],[zip_derived_cl859]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a2308 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('53',plain,
    ( ~ ( c2_1 @ a2308 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl280_022,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl600,plain,
    ( ~ ( c2_1 @ a2308 )
   <= ~ ( c2_1 @ a2308 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl818,plain,
    ( ( ~ ( c3_1 @ a2308 )
      | ~ ( c0_1 @ a2308 ) )
   <= ( ~ ( c2_1 @ a2308 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl600]) ).

thf('54',plain,
    ( ~ ( c0_1 @ a2308 )
    | ( c2_1 @ a2308 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c3_1 @ a2308 ) ),
    inference(split,[status(esa)],[zip_derived_cl818]) ).

thf(zip_derived_cl60,plain,
    ! [X72: $i] :
      ( ( c0_1 @ X72 )
      | ( c2_1 @ X72 )
      | ( c3_1 @ X72 )
      | ~ ndr1_0
      | hskp11
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl430,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp19
    | ~ ( c2_1 @ a2316 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl590,plain,
    ( ~ ( c2_1 @ a2316 )
   <= ~ ( c2_1 @ a2316 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl1835,plain,
    ( ( ( c3_1 @ a2316 )
      | ( c0_1 @ a2316 ) )
   <= ( ~ ( c2_1 @ a2316 )
      & ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ( c3_1 @ X72 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl590]) ).

thf('55',plain,
    ( ( c0_1 @ a2316 )
    | ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ( c3_1 @ X72 ) )
    | ( c3_1 @ a2316 )
    | ( c2_1 @ a2316 ) ),
    inference(split,[status(esa)],[zip_derived_cl1835]) ).

thf(zip_derived_cl53,plain,
    ! [X63: $i,X64: $i] :
      ( ( c0_1 @ X63 )
      | ~ ( c1_1 @ X63 )
      | ~ ( c2_1 @ X63 )
      | ~ ndr1_0
      | ( c2_1 @ X64 )
      | ( c3_1 @ X64 )
      | ~ ( c1_1 @ X64 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | hskp17
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp27
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | hskp27
    | hskp9
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl332_023,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp13
    | ~ ( c1_1 @ a2299 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl638,plain,
    ( ~ ( c1_1 @ a2299 )
   <= ~ ( c1_1 @ a2299 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl1267,plain,
    ( ( ~ ( c0_1 @ a2299 )
      | ( c3_1 @ a2299 ) )
   <= ( ~ ( c1_1 @ a2299 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c3_1 @ X33 )
          | ~ ( c0_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl638]) ).

thf('58',plain,
    ( ~ ( c0_1 @ a2299 )
    | ( c1_1 @ a2299 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c3_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
    | ( c3_1 @ a2299 ) ),
    inference(split,[status(esa)],[zip_derived_cl1267]) ).

thf(zip_derived_cl518_024,plain,
    ( ( c1_1 @ a2278 )
   <= ( c1_1 @ a2278 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl236,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1234,plain,
    ( ( ~ ( c2_1 @ a2278 )
      | ~ ( c3_1 @ a2278 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a2278 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl236]) ).

thf('59',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a2278 )
    | ~ ( c3_1 @ a2278 )
    | ~ ( c1_1 @ a2278 ) ),
    inference(split,[status(esa)],[zip_derived_cl1234]) ).

thf(zip_derived_cl518_025,plain,
    ( ( c1_1 @ a2278 )
   <= ( c1_1 @ a2278 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl248_026,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1235,plain,
    ( ( ~ ( c0_1 @ a2278 )
      | ~ ( c2_1 @ a2278 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a2278 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl248]) ).

thf('60',plain,
    ( ~ ( c2_1 @ a2278 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c0_1 @ a2278 )
    | ~ ( c1_1 @ a2278 ) ),
    inference(split,[status(esa)],[zip_derived_cl1235]) ).

thf(zip_derived_cl2005,plain,
    ( ~ ( c2_1 @ a2278 )
   <= ~ ( c2_1 @ a2278 ) ),
    inference(split,[status(esa)],[zip_derived_cl1234]) ).

thf(zip_derived_cl280_027,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl2007,plain,
    ( ( ~ ( c0_1 @ a2278 )
      | ~ ( c3_1 @ a2278 ) )
   <= ( ~ ( c2_1 @ a2278 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2005,zip_derived_cl280]) ).

thf('61',plain,
    ( ( c2_1 @ a2278 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c3_1 @ a2278 )
    | ~ ( c0_1 @ a2278 ) ),
    inference(split,[status(esa)],[zip_derived_cl2007]) ).

thf(zip_derived_cl518_028,plain,
    ( ( c1_1 @ a2278 )
   <= ( c1_1 @ a2278 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl276_029,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1238,plain,
    ( ( ( c2_1 @ a2278 )
      | ~ ( c3_1 @ a2278 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c1_1 @ a2278 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl276]) ).

thf('62',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ( c2_1 @ a2278 )
    | ~ ( c3_1 @ a2278 )
    | ~ ( c1_1 @ a2278 ) ),
    inference(split,[status(esa)],[zip_derived_cl1238]) ).

thf(zip_derived_cl3532,plain,
    ( ( c2_1 @ a2278 )
   <= ( c2_1 @ a2278 ) ),
    inference(split,[status(esa)],[zip_derived_cl1238]) ).

thf(zip_derived_cl272_030,plain,
    ( ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl3549,plain,
    ( ( ~ ( c0_1 @ a2278 )
      | ~ ( c3_1 @ a2278 ) )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c2_1 @ a2278 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3532,zip_derived_cl272]) ).

thf('63',plain,
    ( ~ ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c2_1 @ a2278 )
    | ~ ( c0_1 @ a2278 )
    | ~ ( c3_1 @ a2278 ) ),
    inference(split,[status(esa)],[zip_derived_cl3549]) ).

thf(zip_derived_cl88,plain,
    ( ~ hskp28
    | ( c0_1 @ a2278 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( ( c0_1 @ a2278 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl88]) ).

thf('65',plain,
    ( ( c1_1 @ a2278 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp28
    | ( c3_1 @ a2278 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( ( c3_1 @ a2278 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp8
    | ( c2_1 @ a2287 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl678,plain,
    ( ( c2_1 @ a2287 )
   <= ( c2_1 @ a2287 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl272_031,plain,
    ( ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1431,plain,
    ( ( ~ ( c0_1 @ a2287 )
      | ~ ( c3_1 @ a2287 ) )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c2_1 @ a2287 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl272]) ).

thf('67',plain,
    ( ~ ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c3_1 @ a2287 )
    | ~ ( c0_1 @ a2287 )
    | ~ ( c2_1 @ a2287 ) ),
    inference(split,[status(esa)],[zip_derived_cl1431]) ).

thf(zip_derived_cl332_032,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl680_033,plain,
    ( ~ ( c1_1 @ a2287 )
   <= ~ ( c1_1 @ a2287 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl1263,plain,
    ( ( ~ ( c0_1 @ a2287 )
      | ( c3_1 @ a2287 ) )
   <= ( ~ ( c1_1 @ a2287 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c3_1 @ X33 )
          | ~ ( c0_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl680]) ).

thf('68',plain,
    ( ( c3_1 @ a2287 )
    | ( c1_1 @ a2287 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c3_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
    | ~ ( c0_1 @ a2287 ) ),
    inference(split,[status(esa)],[zip_derived_cl1263]) ).

thf('69',plain,
    ( hskp7
    | ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c1_1 @ X80 )
        | ~ ( c3_1 @ X80 ) )
    | hskp8
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl280_034,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a2294 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl656,plain,
    ( ~ ( c2_1 @ a2294 )
   <= ~ ( c2_1 @ a2294 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl815,plain,
    ( ( ~ ( c3_1 @ a2294 )
      | ~ ( c0_1 @ a2294 ) )
   <= ( ~ ( c2_1 @ a2294 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl656]) ).

thf('70',plain,
    ( ~ ( c3_1 @ a2294 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ( c2_1 @ a2294 )
    | ~ ( c0_1 @ a2294 ) ),
    inference(split,[status(esa)],[zip_derived_cl815]) ).

thf('71',plain,
    ( ~ ( c2_1 @ a2316 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl288_035,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl590_036,plain,
    ( ~ ( c2_1 @ a2316 )
   <= ~ ( c2_1 @ a2316 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl867,plain,
    ( ( ~ ( c0_1 @ a2316 )
      | ( c3_1 @ a2316 ) )
   <= ( ~ ( c2_1 @ a2316 )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl590]) ).

thf('72',plain,
    ( ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) )
    | ~ ( c0_1 @ a2316 )
    | ( c2_1 @ a2316 )
    | ( c3_1 @ a2316 ) ),
    inference(split,[status(esa)],[zip_derived_cl867]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a2316 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('73',plain,
    ( ~ ( c3_1 @ a2316 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl124,plain,
    ( ~ hskp19
    | ( c1_1 @ a2316 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl588,plain,
    ( ( c1_1 @ a2316 )
   <= ( c1_1 @ a2316 ) ),
    inference(split,[status(esa)],[zip_derived_cl124]) ).

thf(zip_derived_cl55,plain,
    ! [X66: $i] :
      ( ( c0_1 @ X66 )
      | ( c3_1 @ X66 )
      | ~ ( c1_1 @ X66 )
      | ~ ndr1_0
      | hskp15
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl410,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c1_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c1_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl1707,plain,
    ( ( ( c0_1 @ a2316 )
      | ( c3_1 @ a2316 ) )
   <= ( ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c3_1 @ X66 )
          | ~ ( c1_1 @ X66 ) )
      & ( c1_1 @ a2316 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl588,zip_derived_cl410]) ).

thf('74',plain,
    ( ( c0_1 @ a2316 )
    | ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c3_1 @ X66 )
          | ~ ( c1_1 @ X66 ) )
    | ( c3_1 @ a2316 )
    | ~ ( c1_1 @ a2316 ) ),
    inference(split,[status(esa)],[zip_derived_cl1707]) ).

thf('75',plain,
    ( hskp11
    | hskp12
    | ~ ndr1_0
    | ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl29,plain,
    ! [X22: $i] :
      ( ( c1_1 @ X22 )
      | ~ ( c2_1 @ X22 )
      | ~ ( c3_1 @ X22 )
      | ~ ndr1_0
      | hskp1
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('76',plain,
    ( hskp4
    | ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
    | ~ ndr1_0
    | hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl36,plain,
    ! [X34: $i,X35: $i] :
      ( ( c1_1 @ X34 )
      | ( c3_1 @ X34 )
      | ~ ( c0_1 @ X34 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X35 )
      | ~ ( c1_1 @ X35 )
      | ~ ( c2_1 @ X35 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( hskp1
    | ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl62,plain,
    ! [X74: $i] :
      ( ( c0_1 @ X74 )
      | ( c2_1 @ X74 )
      | ( c3_1 @ X74 )
      | ~ ndr1_0
      | hskp28
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('78',plain,
    ( hskp28
    | hskp9
    | ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl164,plain,
    ( ~ hskp9
    | ~ ( c0_1 @ a2291 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( ~ ( c0_1 @ a2291 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl164]) ).

thf('80',plain,
    ( ~ ( c1_1 @ a2291 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp9
    | ~ ( c2_1 @ a2291 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( ~ ( c2_1 @ a2291 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl470_037,plain,
    ( ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ( c2_1 @ X89 ) )
   <= ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ( c2_1 @ X89 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl670_038,plain,
    ( ~ ( c1_1 @ a2291 )
   <= ~ ( c1_1 @ a2291 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl2037,plain,
    ( ( ( c2_1 @ a2291 )
      | ( c0_1 @ a2291 ) )
   <= ( ~ ( c1_1 @ a2291 )
      & ! [X89: $i] :
          ( ( c0_1 @ X89 )
          | ( c1_1 @ X89 )
          | ( c2_1 @ X89 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl670]) ).

thf('82',plain,
    ( ~ ! [X89: $i] :
          ( ( c0_1 @ X89 )
          | ( c1_1 @ X89 )
          | ( c2_1 @ X89 ) )
    | ( c0_1 @ a2291 )
    | ( c1_1 @ a2291 )
    | ( c2_1 @ a2291 ) ),
    inference(split,[status(esa)],[zip_derived_cl2037]) ).

thf(zip_derived_cl71,plain,
    ! [X90: $i] :
      ( ( c0_1 @ X90 )
      | ( c1_1 @ X90 )
      | ( c2_1 @ X90 )
      | ~ ndr1_0
      | hskp2
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('83',plain,
    ( hskp2
    | hskp3
    | ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ( c2_1 @ X89 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl288_039,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a2306 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl606,plain,
    ( ~ ( c2_1 @ a2306 )
   <= ~ ( c2_1 @ a2306 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl865,plain,
    ( ( ~ ( c0_1 @ a2306 )
      | ( c3_1 @ a2306 ) )
   <= ( ~ ( c2_1 @ a2306 )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl606]) ).

thf('84',plain,
    ( ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) )
    | ~ ( c0_1 @ a2306 )
    | ( c2_1 @ a2306 )
    | ( c3_1 @ a2306 ) ),
    inference(split,[status(esa)],[zip_derived_cl865]) ).

thf(zip_derived_cl200,plain,
    ( ~ hskp0
    | ( c1_1 @ a2276 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl740,plain,
    ( ( c1_1 @ a2276 )
   <= ( c1_1 @ a2276 ) ),
    inference(split,[status(esa)],[zip_derived_cl200]) ).

thf(zip_derived_cl48,plain,
    ! [X54: $i] :
      ( ( c0_1 @ X54 )
      | ~ ( c1_1 @ X54 )
      | ~ ( c3_1 @ X54 )
      | ~ ndr1_0
      | hskp14
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl382,plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c3_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c3_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1571,plain,
    ( ( ( c0_1 @ a2276 )
      | ~ ( c3_1 @ a2276 ) )
   <= ( ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
      & ( c1_1 @ a2276 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl740,zip_derived_cl382]) ).

thf('85',plain,
    ( ~ ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
    | ~ ( c1_1 @ a2276 )
    | ~ ( c3_1 @ a2276 )
    | ( c0_1 @ a2276 ) ),
    inference(split,[status(esa)],[zip_derived_cl1571]) ).

thf(zip_derived_cl148,plain,
    ( ~ hskp13
    | ( c2_1 @ a2299 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl636,plain,
    ( ( c2_1 @ a2299 )
   <= ( c2_1 @ a2299 ) ),
    inference(split,[status(esa)],[zip_derived_cl148]) ).

thf(zip_derived_cl260_040,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_cl17]) ).

thf(zip_derived_cl1370,plain,
    ( ( ( c3_1 @ a2299 )
      | ~ ( c0_1 @ a2299 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c2_1 @ a2299 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl636,zip_derived_cl260]) ).

thf('86',plain,
    ( ~ ( c0_1 @ a2299 )
    | ( c3_1 @ a2299 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c2_1 @ a2299 ) ),
    inference(split,[status(esa)],[zip_derived_cl1370]) ).

thf(zip_derived_cl463_041,plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c2_1 @ X84 ) )
   <= ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c2_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(zip_derived_cl638_042,plain,
    ( ~ ( c1_1 @ a2299 )
   <= ~ ( c1_1 @ a2299 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl1953,plain,
    ( ( ~ ( c2_1 @ a2299 )
      | ( c0_1 @ a2299 ) )
   <= ( ~ ( c1_1 @ a2299 )
      & ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c2_1 @ X84 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl638]) ).

thf('87',plain,
    ( ( c0_1 @ a2299 )
    | ( c1_1 @ a2299 )
    | ~ ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c2_1 @ X84 ) )
    | ~ ( c2_1 @ a2299 ) ),
    inference(split,[status(esa)],[zip_derived_cl1953]) ).

thf(zip_derived_cl73,plain,
    ! [X93: $i,X94: $i] :
      ( ( c0_1 @ X93 )
      | ( c1_1 @ X93 )
      | ( c2_1 @ X93 )
      | ~ ndr1_0
      | ( c1_1 @ X94 )
      | ( c3_1 @ X94 )
      | ~ ( c2_1 @ X94 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( hskp1
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
    | ~ ndr1_0
    | ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ( c2_1 @ X89 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl8,plain,
    ( hskp28
    | hskp26
    | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('89',plain,
    ( hskp28
    | hskp16
    | hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl96,plain,
    ( ~ hskp26
    | ( c3_1 @ a2345 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('90',plain,
    ( ( c3_1 @ a2345 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp26
    | ~ ( c0_1 @ a2345 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('91',plain,
    ( ~ ( c0_1 @ a2345 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf('92',plain,
    ( ~ ( c1_1 @ a2345 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl450_043,plain,
    ( ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c1_1 @ X80 )
        | ~ ( c3_1 @ X80 ) )
   <= ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c1_1 @ X80 )
        | ~ ( c3_1 @ X80 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl536_044,plain,
    ( ~ ( c1_1 @ a2345 )
   <= ~ ( c1_1 @ a2345 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl1890,plain,
    ( ( ~ ( c3_1 @ a2345 )
      | ( c0_1 @ a2345 ) )
   <= ( ~ ( c1_1 @ a2345 )
      & ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c1_1 @ X80 )
          | ~ ( c3_1 @ X80 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl536]) ).

thf('93',plain,
    ( ~ ( c3_1 @ a2345 )
    | ( c0_1 @ a2345 )
    | ~ ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c1_1 @ X80 )
          | ~ ( c3_1 @ X80 ) )
    | ( c1_1 @ a2345 ) ),
    inference(split,[status(esa)],[zip_derived_cl1890]) ).

thf(zip_derived_cl38,plain,
    ! [X38: $i,X39: $i] :
      ( ( c1_1 @ X38 )
      | ( c2_1 @ X38 )
      | ~ ( c0_1 @ X38 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X39 )
      | ~ ( c2_1 @ X39 )
      | ~ ( c3_1 @ X39 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl344,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c0_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c0_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp12
    | ~ ( c1_1 @ a2295 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl646,plain,
    ( ~ ( c1_1 @ a2295 )
   <= ~ ( c1_1 @ a2295 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl1396,plain,
    ( ( ~ ( c0_1 @ a2295 )
      | ( c2_1 @ a2295 ) )
   <= ( ~ ( c1_1 @ a2295 )
      & ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c0_1 @ X38 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl646]) ).

thf(zip_derived_cl4398,plain,
    ( ( c2_1 @ a2295 )
   <= ( c2_1 @ a2295 ) ),
    inference(split,[status(esa)],[zip_derived_cl1396]) ).

thf(zip_derived_cl260_045,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_cl17]) ).

thf(zip_derived_cl4418,plain,
    ( ( ( c3_1 @ a2295 )
      | ~ ( c0_1 @ a2295 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c2_1 @ a2295 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4398,zip_derived_cl260]) ).

thf('94',plain,
    ( ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c2_1 @ a2295 )
    | ~ ( c0_1 @ a2295 )
    | ( c3_1 @ a2295 ) ),
    inference(split,[status(esa)],[zip_derived_cl4418]) ).

thf(zip_derived_cl470_046,plain,
    ( ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ( c2_1 @ X89 ) )
   <= ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ( c2_1 @ X89 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp5
    | ~ ( c1_1 @ a2284 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl702,plain,
    ( ~ ( c1_1 @ a2284 )
   <= ~ ( c1_1 @ a2284 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl2035,plain,
    ( ( ( c2_1 @ a2284 )
      | ( c0_1 @ a2284 ) )
   <= ( ~ ( c1_1 @ a2284 )
      & ! [X89: $i] :
          ( ( c0_1 @ X89 )
          | ( c1_1 @ X89 )
          | ( c2_1 @ X89 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl702]) ).

thf('95',plain,
    ( ~ ! [X89: $i] :
          ( ( c0_1 @ X89 )
          | ( c1_1 @ X89 )
          | ( c2_1 @ X89 ) )
    | ( c2_1 @ a2284 )
    | ( c1_1 @ a2284 )
    | ( c0_1 @ a2284 ) ),
    inference(split,[status(esa)],[zip_derived_cl2035]) ).

thf(zip_derived_cl740_047,plain,
    ( ( c1_1 @ a2276 )
   <= ( c1_1 @ a2276 ) ),
    inference(split,[status(esa)],[zip_derived_cl200]) ).

thf(zip_derived_cl276_048,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1525,plain,
    ( ( ( c2_1 @ a2276 )
      | ~ ( c3_1 @ a2276 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c1_1 @ a2276 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl740,zip_derived_cl276]) ).

thf('96',plain,
    ( ( c2_1 @ a2276 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c3_1 @ a2276 )
    | ~ ( c1_1 @ a2276 ) ),
    inference(split,[status(esa)],[zip_derived_cl1525]) ).

thf(zip_derived_cl740_049,plain,
    ( ( c1_1 @ a2276 )
   <= ( c1_1 @ a2276 ) ),
    inference(split,[status(esa)],[zip_derived_cl200]) ).

thf(zip_derived_cl390_050,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1614,plain,
    ( ( ( c0_1 @ a2276 )
      | ~ ( c2_1 @ a2276 ) )
   <= ( ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
      & ( c1_1 @ a2276 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl740,zip_derived_cl390]) ).

thf('97',plain,
    ( ~ ( c2_1 @ a2276 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
    | ~ ( c1_1 @ a2276 )
    | ( c0_1 @ a2276 ) ),
    inference(split,[status(esa)],[zip_derived_cl1614]) ).

thf(zip_derived_cl7,plain,
    ( hskp1
    | hskp14
    | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('98',plain,
    ( hskp1
    | hskp20
    | hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl44,plain,
    ! [X47: $i] :
      ( ( c0_1 @ X47 )
      | ~ ( c2_1 @ X47 )
      | ~ ( c3_1 @ X47 )
      | ~ ndr1_0
      | hskp29
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
    | hskp29
    | hskp8
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl32,plain,
    ! [X27: $i,X28: $i] :
      ( ( c1_1 @ X27 )
      | ~ ( c0_1 @ X27 )
      | ~ ( c2_1 @ X27 )
      | ~ ndr1_0
      | ( c3_1 @ X28 )
      | ~ ( c0_1 @ X28 )
      | ~ ( c2_1 @ X28 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl321,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp20
    | ~ ( c1_1 @ a2323 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl584,plain,
    ( ~ ( c1_1 @ a2323 )
   <= ~ ( c1_1 @ a2323 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl1123,plain,
    ( ( ~ ( c2_1 @ a2323 )
      | ~ ( c0_1 @ a2323 ) )
   <= ( ~ ( c1_1 @ a2323 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl584]) ).

thf('100',plain,
    ( ~ ( c0_1 @ a2323 )
    | ( c1_1 @ a2323 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
    | ~ ( c2_1 @ a2323 ) ),
    inference(split,[status(esa)],[zip_derived_cl1123]) ).

thf('101',plain,
    ( ( c1_1 @ a2276 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl200]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp19
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('102',plain,
    ( ndr1_0
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl2,plain,
    ( hskp8
    | hskp10
    | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('103',plain,
    ( hskp19
    | hskp8
    | hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl321_051,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl646_052,plain,
    ( ~ ( c1_1 @ a2295 )
   <= ~ ( c1_1 @ a2295 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl1119,plain,
    ( ( ~ ( c2_1 @ a2295 )
      | ~ ( c0_1 @ a2295 ) )
   <= ( ~ ( c1_1 @ a2295 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl646]) ).

thf('104',plain,
    ( ~ ( c0_1 @ a2295 )
    | ( c1_1 @ a2295 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
    | ~ ( c2_1 @ a2295 ) ),
    inference(split,[status(esa)],[zip_derived_cl1119]) ).

thf(zip_derived_cl321_053,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl680_054,plain,
    ( ~ ( c1_1 @ a2287 )
   <= ~ ( c1_1 @ a2287 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl1116,plain,
    ( ( ~ ( c2_1 @ a2287 )
      | ~ ( c0_1 @ a2287 ) )
   <= ( ~ ( c1_1 @ a2287 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl680]) ).

thf('105',plain,
    ( ~ ( c2_1 @ a2287 )
    | ( c1_1 @ a2287 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
    | ~ ( c0_1 @ a2287 ) ),
    inference(split,[status(esa)],[zip_derived_cl1116]) ).

thf('106',plain,
    ( hskp1
    | ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c2_1 @ X84 ) )
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf('107',plain,
    ( ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
    | ~ ndr1_0
    | hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl33,plain,
    ! [X29: $i,X30: $i] :
      ( ( c1_1 @ X29 )
      | ( c3_1 @ X29 )
      | ~ ( c2_1 @ X29 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X30 )
      | ~ ( c1_1 @ X30 )
      | ~ ( c3_1 @ X30 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl325,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_cl33]) ).

thf(zip_derived_cl680_055,plain,
    ( ~ ( c1_1 @ a2287 )
   <= ~ ( c1_1 @ a2287 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl1162,plain,
    ( ( ~ ( c2_1 @ a2287 )
      | ( c3_1 @ a2287 ) )
   <= ( ~ ( c1_1 @ a2287 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl680]) ).

thf('108',plain,
    ( ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ( c3_1 @ a2287 )
    | ~ ( c2_1 @ a2287 )
    | ( c1_1 @ a2287 ) ),
    inference(split,[status(esa)],[zip_derived_cl1162]) ).

thf(zip_derived_cl300_056,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl584_057,plain,
    ( ~ ( c1_1 @ a2323 )
   <= ~ ( c1_1 @ a2323 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl951,plain,
    ( ( ~ ( c3_1 @ a2323 )
      | ~ ( c2_1 @ a2323 ) )
   <= ( ~ ( c1_1 @ a2323 )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl300,zip_derived_cl584]) ).

thf('109',plain,
    ( ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ~ ( c2_1 @ a2323 )
    | ( c1_1 @ a2323 )
    | ~ ( c3_1 @ a2323 ) ),
    inference(split,[status(esa)],[zip_derived_cl951]) ).

thf(zip_derived_cl69,plain,
    ! [X86: $i,X87: $i,X88: $i] :
      ( ( c0_1 @ X86 )
      | ( c1_1 @ X86 )
      | ~ ( c2_1 @ X86 )
      | ~ ndr1_0
      | ( c1_1 @ X87 )
      | ~ ( c2_1 @ X87 )
      | ~ ( c3_1 @ X87 )
      | ~ ndr1_0
      | ( c2_1 @ X88 )
      | ~ ( c1_1 @ X88 )
      | ~ ( c3_1 @ X88 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('110',plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
    | ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c2_1 @ X84 ) )
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl740_058,plain,
    ( ( c1_1 @ a2276 )
   <= ( c1_1 @ a2276 ) ),
    inference(split,[status(esa)],[zip_derived_cl200]) ).

thf(zip_derived_cl236_059,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1521,plain,
    ( ( ~ ( c2_1 @ a2276 )
      | ~ ( c3_1 @ a2276 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a2276 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl740,zip_derived_cl236]) ).

thf(zip_derived_cl2326,plain,
    ( ~ ( c2_1 @ a2276 )
   <= ~ ( c2_1 @ a2276 ) ),
    inference(split,[status(esa)],[zip_derived_cl1521]) ).

thf(zip_derived_cl422_060,plain,
    ( ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c3_1 @ X70 ) )
   <= ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c3_1 @ X70 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl2330,plain,
    ( ( ( c0_1 @ a2276 )
      | ~ ( c3_1 @ a2276 ) )
   <= ( ~ ( c2_1 @ a2276 )
      & ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c2_1 @ X70 )
          | ~ ( c3_1 @ X70 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2326,zip_derived_cl422]) ).

thf('111',plain,
    ( ( c2_1 @ a2276 )
    | ~ ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c2_1 @ X70 )
          | ~ ( c3_1 @ X70 ) )
    | ( c0_1 @ a2276 )
    | ~ ( c3_1 @ a2276 ) ),
    inference(split,[status(esa)],[zip_derived_cl2330]) ).

thf(zip_derived_cl201,plain,
    ( ~ hskp0
    | ( c3_1 @ a2276 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('112',plain,
    ( ( c3_1 @ a2276 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf(zip_derived_cl202,plain,
    ( ~ hskp0
    | ~ ( c0_1 @ a2276 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('113',plain,
    ( ~ ( c0_1 @ a2276 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf('114',plain,
    ( hskp0
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
    | ~ ndr1_0
    | ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl64,plain,
    ! [X77: $i,X78: $i,X79: $i] :
      ( ( c0_1 @ X77 )
      | ( c2_1 @ X77 )
      | ( c3_1 @ X77 )
      | ~ ndr1_0
      | ( c0_1 @ X78 )
      | ( c2_1 @ X78 )
      | ~ ( c3_1 @ X78 )
      | ~ ndr1_0
      | ( c0_1 @ X79 )
      | ~ ( c1_1 @ X79 )
      | ~ ( c2_1 @ X79 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('115',plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
    | ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c3_1 @ X70 ) )
    | ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf('116',plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
    | hskp12
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl321_061,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl248_062,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1108,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl248]) ).

thf(zip_derived_cl1140,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1108]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp10
    | ( c2_1 @ a2293 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl662,plain,
    ( ( c2_1 @ a2293 )
   <= ( c2_1 @ a2293 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl2152,plain,
    ( ~ ( c0_1 @ a2293 )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
      & ( c2_1 @ a2293 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1140,zip_derived_cl662]) ).

thf(zip_derived_cl160,plain,
    ( ~ hskp10
    | ( c0_1 @ a2293 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl660,plain,
    ( ( c0_1 @ a2293 )
   <= ( c0_1 @ a2293 ) ),
    inference(split,[status(esa)],[zip_derived_cl160]) ).

thf('117',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
    | ~ ( c2_1 @ a2293 )
    | ~ ( c0_1 @ a2293 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2152,zip_derived_cl660]) ).

thf(zip_derived_cl662_063,plain,
    ( ( c2_1 @ a2293 )
   <= ( c2_1 @ a2293 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl260_064,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_cl17]) ).

thf(zip_derived_cl1424,plain,
    ( ( ( c3_1 @ a2293 )
      | ~ ( c0_1 @ a2293 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c2_1 @ a2293 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl662,zip_derived_cl260]) ).

thf('118',plain,
    ( ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c2_1 @ a2293 )
    | ( c3_1 @ a2293 )
    | ~ ( c0_1 @ a2293 ) ),
    inference(split,[status(esa)],[zip_derived_cl1424]) ).

thf('119',plain,
    ( ( c2_1 @ a2293 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp10
    | ~ ( c3_1 @ a2293 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('120',plain,
    ( ~ ( c3_1 @ a2293 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl54,plain,
    ! [X65: $i] :
      ( ( c0_1 @ X65 )
      | ( c3_1 @ X65 )
      | ~ ( c2_1 @ X65 )
      | ~ ndr1_0
      | hskp14
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('121',plain,
    ( hskp14
    | ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c3_1 @ X65 )
        | ~ ( c2_1 @ X65 ) )
    | ~ ndr1_0
    | hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl184,plain,
    ( ~ hskp4
    | ( c2_1 @ a2282 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( ( c2_1 @ a2282 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl184]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp4
    | ~ ( c0_1 @ a2282 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( ~ ( c0_1 @ a2282 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp4
    | ~ ( c3_1 @ a2282 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('124',plain,
    ( ~ ( c3_1 @ a2282 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl18,plain,
    ! [X7: $i] :
      ( ( c3_1 @ X7 )
      | ~ ( c0_1 @ X7 )
      | ~ ( c2_1 @ X7 )
      | ~ ndr1_0
      | hskp2
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('125',plain,
    ( hskp4
    | hskp2
    | ~ ndr1_0
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl66,plain,
    ! [X81: $i] :
      ( ( c0_1 @ X81 )
      | ( c1_1 @ X81 )
      | ~ ( c3_1 @ X81 )
      | ~ ndr1_0
      | hskp6
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( hskp7
    | ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c1_1 @ X80 )
        | ~ ( c3_1 @ X80 ) )
    | ~ ndr1_0
    | hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl288_065,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl260_066,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_cl17]) ).

thf(zip_derived_cl856,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl260]) ).

thf(zip_derived_cl882,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl856]) ).

thf(zip_derived_cl176,plain,
    ( ~ hskp6
    | ( c0_1 @ a2285 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl692,plain,
    ( ( c0_1 @ a2285 )
   <= ( c0_1 @ a2285 ) ),
    inference(split,[status(esa)],[zip_derived_cl176]) ).

thf(zip_derived_cl2304,plain,
    ( ( c3_1 @ a2285 )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) )
      & ( c0_1 @ a2285 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl882,zip_derived_cl692]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp6
    | ~ ( c3_1 @ a2285 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl696,plain,
    ( ~ ( c3_1 @ a2285 )
   <= ~ ( c3_1 @ a2285 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf('127',plain,
    ( ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) )
    | ~ ( c0_1 @ a2285 )
    | ( c3_1 @ a2285 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2304,zip_derived_cl696]) ).

thf(zip_derived_cl67,plain,
    ! [X82: $i,X83: $i] :
      ( ( c0_1 @ X82 )
      | ( c1_1 @ X82 )
      | ~ ( c3_1 @ X82 )
      | ~ ndr1_0
      | ( c3_1 @ X83 )
      | ~ ( c0_1 @ X83 )
      | ~ ( c2_1 @ X83 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c1_1 @ X80 )
        | ~ ( c3_1 @ X80 ) )
    | hskp5
    | ~ ndr1_0
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl450_067,plain,
    ( ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c1_1 @ X80 )
        | ~ ( c3_1 @ X80 ) )
   <= ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c1_1 @ X80 )
        | ~ ( c3_1 @ X80 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a2308 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl598,plain,
    ( ~ ( c1_1 @ a2308 )
   <= ~ ( c1_1 @ a2308 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl1886,plain,
    ( ( ~ ( c3_1 @ a2308 )
      | ( c0_1 @ a2308 ) )
   <= ( ~ ( c1_1 @ a2308 )
      & ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c1_1 @ X80 )
          | ~ ( c3_1 @ X80 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl598]) ).

thf('129',plain,
    ( ( c0_1 @ a2308 )
    | ( c1_1 @ a2308 )
    | ~ ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c1_1 @ X80 )
          | ~ ( c3_1 @ X80 ) )
    | ~ ( c3_1 @ a2308 ) ),
    inference(split,[status(esa)],[zip_derived_cl1886]) ).

thf(zip_derived_cl30,plain,
    ! [X23: $i] :
      ( ( c1_1 @ X23 )
      | ~ ( c0_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ~ ndr1_0
      | hskp19
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl312,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl598_068,plain,
    ( ~ ( c1_1 @ a2308 )
   <= ~ ( c1_1 @ a2308 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl1042,plain,
    ( ( ~ ( c3_1 @ a2308 )
      | ~ ( c0_1 @ a2308 ) )
   <= ( ~ ( c1_1 @ a2308 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl598]) ).

thf('130',plain,
    ( ~ ( c0_1 @ a2308 )
    | ( c1_1 @ a2308 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c3_1 @ a2308 ) ),
    inference(split,[status(esa)],[zip_derived_cl1042]) ).

thf('131',plain,
    ( hskp14
    | ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c3_1 @ X54 ) )
    | ~ ndr1_0
    | hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl128,plain,
    ( ~ hskp18
    | ( c3_1 @ a2308 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( ( c3_1 @ a2308 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl128]) ).

thf('133',plain,
    ( ~ ( c1_1 @ a2308 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf('134',plain,
    ( ~ ( c1_1 @ a2306 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl132]) ).

thf('135',plain,
    ( ~ ( c2_1 @ a2306 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp17
    | ~ ( c3_1 @ a2306 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('136',plain,
    ( ~ ( c3_1 @ a2306 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl347_069,plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl604_070,plain,
    ( ~ ( c1_1 @ a2306 )
   <= ~ ( c1_1 @ a2306 ) ),
    inference(split,[status(esa)],[zip_derived_cl132]) ).

thf(zip_derived_cl1456,plain,
    ( ( ( c3_1 @ a2306 )
      | ( c2_1 @ a2306 ) )
   <= ( ~ ( c1_1 @ a2306 )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl604]) ).

thf('137',plain,
    ( ( c1_1 @ a2306 )
    | ( c2_1 @ a2306 )
    | ~ ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ( c3_1 @ X40 ) )
    | ( c3_1 @ a2306 ) ),
    inference(split,[status(esa)],[zip_derived_cl1456]) ).

thf(zip_derived_cl15,plain,
    ! [X4: $i] :
      ( ~ ( c0_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | hskp2
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( hskp18
    | hskp2
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl502_071,plain,
    ( ( c2_1 @ a2315 )
   <= ( c2_1 @ a2315 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl41,plain,
    ! [X44: $i] :
      ( ( c0_1 @ X44 )
      | ~ ( c2_1 @ X44 )
      | ~ ( c3_1 @ X44 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl355,plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
   <= ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1547,plain,
    ( ( ( c0_1 @ a2315 )
      | ~ ( c3_1 @ a2315 ) )
   <= ( ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
      & ( c2_1 @ a2315 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl502,zip_derived_cl355]) ).

thf('139',plain,
    ( ( c0_1 @ a2315 )
    | ~ ( c3_1 @ a2315 )
    | ~ ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
    | ~ ( c2_1 @ a2315 ) ),
    inference(split,[status(esa)],[zip_derived_cl1547]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp30
    | ( c3_1 @ a2315 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('140',plain,
    ( ( c3_1 @ a2315 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf('141',plain,
    ( hskp16
    | hskp30
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl678_072,plain,
    ( ( c2_1 @ a2287 )
   <= ( c2_1 @ a2287 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl260_073,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_cl17]) ).

thf(zip_derived_cl1430,plain,
    ( ( ( c3_1 @ a2287 )
      | ~ ( c0_1 @ a2287 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c2_1 @ a2287 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl260]) ).

thf('142',plain,
    ( ( c3_1 @ a2287 )
    | ~ ( c2_1 @ a2287 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c0_1 @ a2287 ) ),
    inference(split,[status(esa)],[zip_derived_cl1430]) ).

thf(zip_derived_cl312_074,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl680_075,plain,
    ( ~ ( c1_1 @ a2287 )
   <= ~ ( c1_1 @ a2287 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl1036,plain,
    ( ( ~ ( c3_1 @ a2287 )
      | ~ ( c0_1 @ a2287 ) )
   <= ( ~ ( c1_1 @ a2287 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl680]) ).

thf('143',plain,
    ( ~ ( c3_1 @ a2287 )
    | ( c1_1 @ a2287 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c0_1 @ a2287 ) ),
    inference(split,[status(esa)],[zip_derived_cl1036]) ).

thf(zip_derived_cl168,plain,
    ( ~ hskp8
    | ( c0_1 @ a2287 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('144',plain,
    ( ( c0_1 @ a2287 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl168]) ).

thf('145',plain,
    ( ( c2_1 @ a2287 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf('146',plain,
    ( ~ ( c1_1 @ a2287 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf('147',plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
    | hskp29
    | ~ ndr1_0
    | hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl312_076,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl654_077,plain,
    ( ~ ( c1_1 @ a2294 )
   <= ~ ( c1_1 @ a2294 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl1038,plain,
    ( ( ~ ( c3_1 @ a2294 )
      | ~ ( c0_1 @ a2294 ) )
   <= ( ~ ( c1_1 @ a2294 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl654]) ).

thf('148',plain,
    ( ~ ( c3_1 @ a2294 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ( c1_1 @ a2294 )
    | ~ ( c0_1 @ a2294 ) ),
    inference(split,[status(esa)],[zip_derived_cl1038]) ).

thf(zip_derived_cl288_078,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl656_079,plain,
    ( ~ ( c2_1 @ a2294 )
   <= ~ ( c2_1 @ a2294 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl863,plain,
    ( ( ~ ( c0_1 @ a2294 )
      | ( c3_1 @ a2294 ) )
   <= ( ~ ( c2_1 @ a2294 )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl656]) ).

thf('149',plain,
    ( ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) )
    | ( c3_1 @ a2294 )
    | ( c2_1 @ a2294 )
    | ~ ( c0_1 @ a2294 ) ),
    inference(split,[status(esa)],[zip_derived_cl863]) ).

thf(zip_derived_cl156,plain,
    ( ~ hskp11
    | ( c0_1 @ a2294 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ( c0_1 @ a2294 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl156]) ).

thf('151',plain,
    ( ~ ( c1_1 @ a2294 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf('152',plain,
    ( ~ ( c2_1 @ a2294 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl734_080,plain,
    ( ( c1_1 @ a2277 )
   <= ( c1_1 @ a2277 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl284_081,plain,
    ( ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1519,plain,
    ( ( ~ ( c0_1 @ a2277 )
      | ~ ( c3_1 @ a2277 ) )
   <= ( ! [X14: $i] :
          ( ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c1_1 @ a2277 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl284]) ).

thf('153',plain,
    ( ~ ( c3_1 @ a2277 )
    | ~ ! [X14: $i] :
          ( ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c1_1 @ a2277 )
    | ~ ( c0_1 @ a2277 ) ),
    inference(split,[status(esa)],[zip_derived_cl1519]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('154',plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl6,plain,
    ( hskp6
    | hskp11
    | hskp30 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('155',plain,
    ( hskp11
    | hskp30
    | hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl56,plain,
    ! [X67: $i] :
      ( ( c0_1 @ X67 )
      | ( c3_1 @ X67 )
      | ~ ( c1_1 @ X67 )
      | ~ ndr1_0
      | hskp1
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('156',plain,
    ( hskp14
    | hskp1
    | ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c1_1 @ X66 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf('157',plain,
    ( hskp21
    | hskp30
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl300_082,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl646_083,plain,
    ( ~ ( c1_1 @ a2295 )
   <= ~ ( c1_1 @ a2295 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl947,plain,
    ( ( ~ ( c3_1 @ a2295 )
      | ~ ( c2_1 @ a2295 ) )
   <= ( ~ ( c1_1 @ a2295 )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl300,zip_derived_cl646]) ).

thf(zip_derived_cl985,plain,
    ( ~ ( c2_1 @ a2295 )
   <= ~ ( c2_1 @ a2295 ) ),
    inference(split,[status(esa)],[zip_derived_cl947]) ).

thf(zip_derived_cl288_084,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl988,plain,
    ( ( ( c3_1 @ a2295 )
      | ~ ( c0_1 @ a2295 ) )
   <= ( ~ ( c2_1 @ a2295 )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl985,zip_derived_cl288]) ).

thf('158',plain,
    ( ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) )
    | ( c2_1 @ a2295 )
    | ( c3_1 @ a2295 )
    | ~ ( c0_1 @ a2295 ) ),
    inference(split,[status(esa)],[zip_derived_cl988]) ).

thf(zip_derived_cl43,plain,
    ! [X46: $i] :
      ( ( c0_1 @ X46 )
      | ~ ( c2_1 @ X46 )
      | ~ ( c3_1 @ X46 )
      | ~ ndr1_0
      | hskp12
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('159',plain,
    ( hskp13
    | ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
    | hskp12
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf('160',plain,
    ( ( c2_1 @ a2299 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl148]) ).

thf('161',plain,
    ( ~ ( c1_1 @ a2299 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp13
    | ~ ( c3_1 @ a2299 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( ~ ( c3_1 @ a2299 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl325_085,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_cl33]) ).

thf(zip_derived_cl638_086,plain,
    ( ~ ( c1_1 @ a2299 )
   <= ~ ( c1_1 @ a2299 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl1166,plain,
    ( ( ~ ( c2_1 @ a2299 )
      | ( c3_1 @ a2299 ) )
   <= ( ~ ( c1_1 @ a2299 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl638]) ).

thf('163',plain,
    ( ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ( c1_1 @ a2299 )
    | ( c3_1 @ a2299 )
    | ~ ( c2_1 @ a2299 ) ),
    inference(split,[status(esa)],[zip_derived_cl1166]) ).

thf(zip_derived_cl46,plain,
    ! [X50: $i,X51: $i] :
      ( ( c0_1 @ X50 )
      | ~ ( c2_1 @ X50 )
      | ~ ( c3_1 @ X50 )
      | ~ ndr1_0
      | ( c1_1 @ X51 )
      | ( c3_1 @ X51 )
      | ~ ( c2_1 @ X51 )
      | ~ ndr1_0
      | hskp30 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
    | hskp30
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl325_087,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_cl33]) ).

thf(zip_derived_cl646_088,plain,
    ( ~ ( c1_1 @ a2295 )
   <= ~ ( c1_1 @ a2295 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl1165,plain,
    ( ( ~ ( c2_1 @ a2295 )
      | ( c3_1 @ a2295 ) )
   <= ( ~ ( c1_1 @ a2295 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl646]) ).

thf('165',plain,
    ( ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ~ ( c2_1 @ a2295 )
    | ( c3_1 @ a2295 )
    | ( c1_1 @ a2295 ) ),
    inference(split,[status(esa)],[zip_derived_cl1165]) ).

thf(zip_derived_cl188,plain,
    ( ~ hskp3
    | ( c1_1 @ a2280 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl716,plain,
    ( ( c1_1 @ a2280 )
   <= ( c1_1 @ a2280 ) ),
    inference(split,[status(esa)],[zip_derived_cl188]) ).

thf(zip_derived_cl276_089,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1495,plain,
    ( ( ( c2_1 @ a2280 )
      | ~ ( c3_1 @ a2280 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c1_1 @ a2280 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl716,zip_derived_cl276]) ).

thf('166',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c1_1 @ a2280 )
    | ( c2_1 @ a2280 )
    | ~ ( c3_1 @ a2280 ) ),
    inference(split,[status(esa)],[zip_derived_cl1495]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('167',plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf('168',plain,
    ( ( c1_1 @ a2280 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl188]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp3
    | ( c3_1 @ a2280 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('169',plain,
    ( ( c3_1 @ a2280 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp3
    | ~ ( c2_1 @ a2280 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('170',plain,
    ( ~ ( c2_1 @ a2280 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl10,plain,
    ( hskp29
    | hskp27
    | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('171',plain,
    ( hskp3
    | hskp27
    | hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl92,plain,
    ( ~ hskp27
    | ( c1_1 @ a2367 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('172',plain,
    ( ( c1_1 @ a2367 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl92]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp27
    | ( c2_1 @ a2367 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('173',plain,
    ( ( c2_1 @ a2367 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp27
    | ~ ( c0_1 @ a2367 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('174',plain,
    ( ~ ( c0_1 @ a2367 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl524,plain,
    ( ( c1_1 @ a2367 )
   <= ( c1_1 @ a2367 ) ),
    inference(split,[status(esa)],[zip_derived_cl92]) ).

thf(zip_derived_cl390_090,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1622,plain,
    ( ( ( c0_1 @ a2367 )
      | ~ ( c2_1 @ a2367 ) )
   <= ( ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
      & ( c1_1 @ a2367 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl524,zip_derived_cl390]) ).

thf('175',plain,
    ( ~ ( c2_1 @ a2367 )
    | ( c0_1 @ a2367 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
    | ~ ( c1_1 @ a2367 ) ),
    inference(split,[status(esa)],[zip_derived_cl1622]) ).

thf('176',plain,
    ( ( c1_1 @ a2315 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl80]) ).

thf('177',plain,
    ( ( c2_1 @ a2315 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl500_091,plain,
    ( ( c1_1 @ a2315 )
   <= ( c1_1 @ a2315 ) ),
    inference(split,[status(esa)],[zip_derived_cl80]) ).

thf(zip_derived_cl390_092,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1625,plain,
    ( ( ( c0_1 @ a2315 )
      | ~ ( c2_1 @ a2315 ) )
   <= ( ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
      & ( c1_1 @ a2315 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl500,zip_derived_cl390]) ).

thf('178',plain,
    ( ( c0_1 @ a2315 )
    | ~ ( c1_1 @ a2315 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
    | ~ ( c2_1 @ a2315 ) ),
    inference(split,[status(esa)],[zip_derived_cl1625]) ).

thf(zip_derived_cl694_093,plain,
    ( ( c1_1 @ a2285 )
   <= ( c1_1 @ a2285 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl248_094,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1482,plain,
    ( ( ~ ( c0_1 @ a2285 )
      | ~ ( c2_1 @ a2285 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a2285 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl694,zip_derived_cl248]) ).

thf('179',plain,
    ( ~ ( c2_1 @ a2285 )
    | ~ ( c1_1 @ a2285 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c0_1 @ a2285 ) ),
    inference(split,[status(esa)],[zip_derived_cl1482]) ).

thf(zip_derived_cl694_095,plain,
    ( ( c1_1 @ a2285 )
   <= ( c1_1 @ a2285 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl236_096,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1481,plain,
    ( ( ~ ( c2_1 @ a2285 )
      | ~ ( c3_1 @ a2285 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a2285 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl694,zip_derived_cl236]) ).

thf(zip_derived_cl2260,plain,
    ( ~ ( c2_1 @ a2285 )
   <= ~ ( c2_1 @ a2285 ) ),
    inference(split,[status(esa)],[zip_derived_cl1481]) ).

thf(zip_derived_cl288_097,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl2263,plain,
    ( ( ( c3_1 @ a2285 )
      | ~ ( c0_1 @ a2285 ) )
   <= ( ~ ( c2_1 @ a2285 )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2260,zip_derived_cl288]) ).

thf('180',plain,
    ( ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) )
    | ( c2_1 @ a2285 )
    | ( c3_1 @ a2285 )
    | ~ ( c0_1 @ a2285 ) ),
    inference(split,[status(esa)],[zip_derived_cl2263]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp29
    | ( c1_1 @ a2309 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('181',plain,
    ( ( c1_1 @ a2309 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl84,plain,
    ( ~ hskp29
    | ( c0_1 @ a2309 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('182',plain,
    ( ( c0_1 @ a2309 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl84]) ).

thf('183',plain,
    ( ( c2_1 @ a2309 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl510,plain,
    ( ( c1_1 @ a2309 )
   <= ( c1_1 @ a2309 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl248_098,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1217,plain,
    ( ( ~ ( c0_1 @ a2309 )
      | ~ ( c2_1 @ a2309 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a2309 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl248]) ).

thf('184',plain,
    ( ~ ( c0_1 @ a2309 )
    | ~ ( c1_1 @ a2309 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c2_1 @ a2309 ) ),
    inference(split,[status(esa)],[zip_derived_cl1217]) ).

thf(zip_derived_cl500_099,plain,
    ( ( c1_1 @ a2315 )
   <= ( c1_1 @ a2315 ) ),
    inference(split,[status(esa)],[zip_derived_cl80]) ).

thf(zip_derived_cl248_100,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1197,plain,
    ( ( ~ ( c0_1 @ a2315 )
      | ~ ( c2_1 @ a2315 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a2315 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl500,zip_derived_cl248]) ).

thf('185',plain,
    ( ~ ( c0_1 @ a2315 )
    | ~ ( c1_1 @ a2315 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c2_1 @ a2315 ) ),
    inference(split,[status(esa)],[zip_derived_cl1197]) ).

thf(zip_derived_cl172,plain,
    ( ~ hskp7
    | ( c1_1 @ a2286 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl684,plain,
    ( ( c1_1 @ a2286 )
   <= ( c1_1 @ a2286 ) ),
    inference(split,[status(esa)],[zip_derived_cl172]) ).

thf(zip_derived_cl382_101,plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c3_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c3_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1575,plain,
    ( ( ( c0_1 @ a2286 )
      | ~ ( c3_1 @ a2286 ) )
   <= ( ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
      & ( c1_1 @ a2286 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl382]) ).

thf('186',plain,
    ( ~ ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
    | ~ ( c3_1 @ a2286 )
    | ~ ( c1_1 @ a2286 )
    | ( c0_1 @ a2286 ) ),
    inference(split,[status(esa)],[zip_derived_cl1575]) ).

thf(zip_derived_cl144,plain,
    ( ~ hskp14
    | ( c2_1 @ a2302 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('187',plain,
    ( ( c2_1 @ a2302 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl144]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp14
    | ( c3_1 @ a2302 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('188',plain,
    ( ( c3_1 @ a2302 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a2302 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('189',plain,
    ( ~ ( c0_1 @ a2302 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl628,plain,
    ( ( c2_1 @ a2302 )
   <= ( c2_1 @ a2302 ) ),
    inference(split,[status(esa)],[zip_derived_cl144]) ).

thf(zip_derived_cl355_102,plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
   <= ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1541,plain,
    ( ( ( c0_1 @ a2302 )
      | ~ ( c3_1 @ a2302 ) )
   <= ( ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
      & ( c2_1 @ a2302 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl355]) ).

thf('190',plain,
    ( ~ ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
    | ~ ( c2_1 @ a2302 )
    | ( c0_1 @ a2302 )
    | ~ ( c3_1 @ a2302 ) ),
    inference(split,[status(esa)],[zip_derived_cl1541]) ).

thf('191',plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
    | hskp20
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl312_103,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl584_104,plain,
    ( ~ ( c1_1 @ a2323 )
   <= ~ ( c1_1 @ a2323 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl1043,plain,
    ( ( ~ ( c3_1 @ a2323 )
      | ~ ( c0_1 @ a2323 ) )
   <= ( ~ ( c1_1 @ a2323 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl584]) ).

thf('192',plain,
    ( ~ ( c0_1 @ a2323 )
    | ( c1_1 @ a2323 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c3_1 @ a2323 ) ),
    inference(split,[status(esa)],[zip_derived_cl1043]) ).

thf('193',plain,
    ( ( c2_1 @ a2323 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl120]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp20
    | ( c3_1 @ a2323 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('194',plain,
    ( ( c3_1 @ a2323 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf('195',plain,
    ( ~ ( c1_1 @ a2323 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl463_105,plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c2_1 @ X84 ) )
   <= ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c2_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(zip_derived_cl584_106,plain,
    ( ~ ( c1_1 @ a2323 )
   <= ~ ( c1_1 @ a2323 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl1956,plain,
    ( ( ~ ( c2_1 @ a2323 )
      | ( c0_1 @ a2323 ) )
   <= ( ~ ( c1_1 @ a2323 )
      & ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c2_1 @ X84 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl584]) ).

thf('196',plain,
    ( ( c0_1 @ a2323 )
    | ~ ( c2_1 @ a2323 )
    | ~ ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c2_1 @ X84 ) )
    | ( c1_1 @ a2323 ) ),
    inference(split,[status(esa)],[zip_derived_cl1956]) ).

thf(zip_derived_cl5381,plain,
    ( ( c2_1 @ a2276 )
   <= ( c2_1 @ a2276 ) ),
    inference(split,[status(esa)],[zip_derived_cl1525]) ).

thf(zip_derived_cl355_107,plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
   <= ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl5407,plain,
    ( ( ( c0_1 @ a2276 )
      | ~ ( c3_1 @ a2276 ) )
   <= ( ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
      & ( c2_1 @ a2276 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5381,zip_derived_cl355]) ).

thf('197',plain,
    ( ~ ( c2_1 @ a2276 )
    | ~ ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
    | ~ ( c3_1 @ a2276 )
    | ( c0_1 @ a2276 ) ),
    inference(split,[status(esa)],[zip_derived_cl5407]) ).

thf(zip_derived_cl31,plain,
    ! [X24: $i,X25: $i,X26: $i] :
      ( ( c1_1 @ X24 )
      | ~ ( c0_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | ( c2_1 @ X25 )
      | ~ ( c0_1 @ X25 )
      | ~ ( c1_1 @ X25 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X26 )
      | ~ ( c1_1 @ X26 )
      | ~ ( c3_1 @ X26 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('198',plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl734_108,plain,
    ( ( c1_1 @ a2277 )
   <= ( c1_1 @ a2277 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl276_109,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1517,plain,
    ( ( ( c2_1 @ a2277 )
      | ~ ( c3_1 @ a2277 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c1_1 @ a2277 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl276]) ).

thf('199',plain,
    ( ~ ( c3_1 @ a2277 )
    | ~ ( c1_1 @ a2277 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ( c2_1 @ a2277 ) ),
    inference(split,[status(esa)],[zip_derived_cl1517]) ).

thf(zip_derived_cl280_110,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl198,plain,
    ( ~ hskp1
    | ~ ( c2_1 @ a2277 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl736,plain,
    ( ~ ( c2_1 @ a2277 )
   <= ~ ( c2_1 @ a2277 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl810,plain,
    ( ( ~ ( c3_1 @ a2277 )
      | ~ ( c0_1 @ a2277 ) )
   <= ( ~ ( c2_1 @ a2277 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl736]) ).

thf('200',plain,
    ( ~ ( c3_1 @ a2277 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ( c2_1 @ a2277 )
    | ~ ( c0_1 @ a2277 ) ),
    inference(split,[status(esa)],[zip_derived_cl810]) ).

thf(zip_derived_cl288_111,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl736_112,plain,
    ( ~ ( c2_1 @ a2277 )
   <= ~ ( c2_1 @ a2277 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl858,plain,
    ( ( ~ ( c0_1 @ a2277 )
      | ( c3_1 @ a2277 ) )
   <= ( ~ ( c2_1 @ a2277 )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl736]) ).

thf('201',plain,
    ( ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) )
    | ( c3_1 @ a2277 )
    | ( c2_1 @ a2277 )
    | ~ ( c0_1 @ a2277 ) ),
    inference(split,[status(esa)],[zip_derived_cl858]) ).

thf(zip_derived_cl196,plain,
    ( ~ hskp1
    | ( c0_1 @ a2277 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('202',plain,
    ( ( c0_1 @ a2277 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl196]) ).

thf('203',plain,
    ( ( c1_1 @ a2277 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf('204',plain,
    ( ~ ( c2_1 @ a2277 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl708,plain,
    ( ( c2_1 @ a2282 )
   <= ( c2_1 @ a2282 ) ),
    inference(split,[status(esa)],[zip_derived_cl184]) ).

thf(zip_derived_cl406,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c3_1 @ X65 )
        | ~ ( c2_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c3_1 @ X65 )
        | ~ ( c2_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl1671,plain,
    ( ( ( c0_1 @ a2282 )
      | ( c3_1 @ a2282 ) )
   <= ( ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c3_1 @ X65 )
          | ~ ( c2_1 @ X65 ) )
      & ( c2_1 @ a2282 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl708,zip_derived_cl406]) ).

thf('205',plain,
    ( ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c3_1 @ X65 )
          | ~ ( c2_1 @ X65 ) )
    | ~ ( c2_1 @ a2282 )
    | ( c0_1 @ a2282 )
    | ( c3_1 @ a2282 ) ),
    inference(split,[status(esa)],[zip_derived_cl1671]) ).

thf('206',plain,
    ( hskp16
    | ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c1_1 @ X66 ) )
    | ~ ndr1_0
    | hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl116,plain,
    ( ~ hskp21
    | ( c1_1 @ a2324 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl572,plain,
    ( ( c1_1 @ a2324 )
   <= ( c1_1 @ a2324 ) ),
    inference(split,[status(esa)],[zip_derived_cl116]) ).

thf(zip_derived_cl410_113,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c1_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c1_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl1708,plain,
    ( ( ( c0_1 @ a2324 )
      | ( c3_1 @ a2324 ) )
   <= ( ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c3_1 @ X66 )
          | ~ ( c1_1 @ X66 ) )
      & ( c1_1 @ a2324 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl572,zip_derived_cl410]) ).

thf('207',plain,
    ( ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c3_1 @ X66 )
          | ~ ( c1_1 @ X66 ) )
    | ( c0_1 @ a2324 )
    | ( c3_1 @ a2324 )
    | ~ ( c1_1 @ a2324 ) ),
    inference(split,[status(esa)],[zip_derived_cl1708]) ).

thf('208',plain,
    ( ( c1_1 @ a2324 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl116]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp21
    | ~ ( c0_1 @ a2324 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('209',plain,
    ( ~ ( c0_1 @ a2324 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp21
    | ~ ( c3_1 @ a2324 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('210',plain,
    ( ~ ( c3_1 @ a2324 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf('211',plain,
    ( hskp21
    | hskp16
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp12
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('212',plain,
    ( ndr1_0
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp6
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('213',plain,
    ( ndr1_0
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl199,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('214',plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl5,plain,
    ( hskp6
    | hskp12
    | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('215',plain,
    ( hskp0
    | hskp12
    | hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl734_114,plain,
    ( ( c1_1 @ a2277 )
   <= ( c1_1 @ a2277 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl296_115,plain,
    ( ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1520,plain,
    ( ( ( c2_1 @ a2277 )
      | ~ ( c0_1 @ a2277 ) )
   <= ( ! [X19: $i] :
          ( ( c2_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 ) )
      & ( c1_1 @ a2277 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl296]) ).

thf('216',plain,
    ( ~ ! [X19: $i] :
          ( ( c2_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 ) )
    | ~ ( c0_1 @ a2277 )
    | ~ ( c1_1 @ a2277 )
    | ( c2_1 @ a2277 ) ),
    inference(split,[status(esa)],[zip_derived_cl1520]) ).

thf(zip_derived_cl694_116,plain,
    ( ( c1_1 @ a2285 )
   <= ( c1_1 @ a2285 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl268_117,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1484,plain,
    ( ( ( c3_1 @ a2285 )
      | ~ ( c0_1 @ a2285 ) )
   <= ( ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ( c1_1 @ a2285 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl694,zip_derived_cl268]) ).

thf('217',plain,
    ( ~ ( c0_1 @ a2285 )
    | ~ ( c1_1 @ a2285 )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ( c3_1 @ a2285 ) ),
    inference(split,[status(esa)],[zip_derived_cl1484]) ).

thf('218',plain,
    ( ( c0_1 @ a2285 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl176]) ).

thf('219',plain,
    ( ( c1_1 @ a2285 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf('220',plain,
    ( ~ ( c3_1 @ a2285 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf('221',plain,
    ( hskp14
    | ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 ) )
    | ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl684_118,plain,
    ( ( c1_1 @ a2286 )
   <= ( c1_1 @ a2286 ) ),
    inference(split,[status(esa)],[zip_derived_cl172]) ).

thf(zip_derived_cl276_119,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1438,plain,
    ( ( ( c2_1 @ a2286 )
      | ~ ( c3_1 @ a2286 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c1_1 @ a2286 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl276]) ).

thf('222',plain,
    ( ~ ( c3_1 @ a2286 )
    | ( c2_1 @ a2286 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c1_1 @ a2286 ) ),
    inference(split,[status(esa)],[zip_derived_cl1438]) ).

thf('223',plain,
    ( ( c1_1 @ a2286 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl172]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp7
    | ~ ( c0_1 @ a2286 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('224',plain,
    ( ~ ( c0_1 @ a2286 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp7
    | ~ ( c2_1 @ a2286 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('225',plain,
    ( ~ ( c2_1 @ a2286 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl430_120,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl688,plain,
    ( ~ ( c2_1 @ a2286 )
   <= ~ ( c2_1 @ a2286 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl1826,plain,
    ( ( ( c3_1 @ a2286 )
      | ( c0_1 @ a2286 ) )
   <= ( ~ ( c2_1 @ a2286 )
      & ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ( c3_1 @ X72 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl688]) ).

thf('226',plain,
    ( ( c3_1 @ a2286 )
    | ( c2_1 @ a2286 )
    | ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ( c3_1 @ X72 ) )
    | ( c0_1 @ a2286 ) ),
    inference(split,[status(esa)],[zip_derived_cl1826]) ).

thf(zip_derived_cl588_121,plain,
    ( ( c1_1 @ a2316 )
   <= ( c1_1 @ a2316 ) ),
    inference(split,[status(esa)],[zip_derived_cl124]) ).

thf(zip_derived_cl268_122,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1341,plain,
    ( ( ( c3_1 @ a2316 )
      | ~ ( c0_1 @ a2316 ) )
   <= ( ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ( c1_1 @ a2316 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl588,zip_derived_cl268]) ).

thf('227',plain,
    ( ~ ( c0_1 @ a2316 )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ( c3_1 @ a2316 )
    | ~ ( c1_1 @ a2316 ) ),
    inference(split,[status(esa)],[zip_derived_cl1341]) ).

thf(zip_derived_cl136,plain,
    ( ~ hskp16
    | ~ ( c0_1 @ a2304 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('228',plain,
    ( ~ ( c0_1 @ a2304 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl136]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp16
    | ~ ( c2_1 @ a2304 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('229',plain,
    ( ~ ( c2_1 @ a2304 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp16
    | ~ ( c3_1 @ a2304 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('230',plain,
    ( ~ ( c3_1 @ a2304 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl430_123,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl614,plain,
    ( ~ ( c2_1 @ a2304 )
   <= ~ ( c2_1 @ a2304 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl1832,plain,
    ( ( ( c3_1 @ a2304 )
      | ( c0_1 @ a2304 ) )
   <= ( ~ ( c2_1 @ a2304 )
      & ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ( c3_1 @ X72 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl614]) ).

thf('231',plain,
    ( ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ( c3_1 @ X72 ) )
    | ( c0_1 @ a2304 )
    | ( c2_1 @ a2304 )
    | ( c3_1 @ a2304 ) ),
    inference(split,[status(esa)],[zip_derived_cl1832]) ).

thf(zip_derived_cl430_124,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl606_125,plain,
    ( ~ ( c2_1 @ a2306 )
   <= ~ ( c2_1 @ a2306 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl1833,plain,
    ( ( ( c3_1 @ a2306 )
      | ( c0_1 @ a2306 ) )
   <= ( ~ ( c2_1 @ a2306 )
      & ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ( c3_1 @ X72 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl606]) ).

thf('232',plain,
    ( ( c0_1 @ a2306 )
    | ( c2_1 @ a2306 )
    | ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ( c3_1 @ X72 ) )
    | ( c3_1 @ a2306 ) ),
    inference(split,[status(esa)],[zip_derived_cl1833]) ).

thf(zip_derived_cl61,plain,
    ! [X73: $i] :
      ( ( c0_1 @ X73 )
      | ( c2_1 @ X73 )
      | ( c3_1 @ X73 )
      | ~ ndr1_0
      | hskp6
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('233',plain,
    ( hskp10
    | ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) )
    | hskp6
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf('234',plain,
    ( ( c0_1 @ a2293 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl160]) ).

thf(zip_derived_cl518_126,plain,
    ( ( c1_1 @ a2278 )
   <= ( c1_1 @ a2278 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl296_127,plain,
    ( ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1241,plain,
    ( ( ( c2_1 @ a2278 )
      | ~ ( c0_1 @ a2278 ) )
   <= ( ! [X19: $i] :
          ( ( c2_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 ) )
      & ( c1_1 @ a2278 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl296]) ).

thf('235',plain,
    ( ~ ! [X19: $i] :
          ( ( c2_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 ) )
    | ( c2_1 @ a2278 )
    | ~ ( c0_1 @ a2278 )
    | ~ ( c1_1 @ a2278 ) ),
    inference(split,[status(esa)],[zip_derived_cl1241]) ).

thf(zip_derived_cl40,plain,
    ! [X41: $i,X42: $i,X43: $i] :
      ( ( c1_1 @ X41 )
      | ( c2_1 @ X41 )
      | ( c3_1 @ X41 )
      | ~ ndr1_0
      | ( c2_1 @ X42 )
      | ~ ( c0_1 @ X42 )
      | ~ ( c3_1 @ X42 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X43 )
      | ~ ( c1_1 @ X43 )
      | ~ ( c2_1 @ X43 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('236',plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) )
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ~ ndr1_0
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl347_128,plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl702_129,plain,
    ( ~ ( c1_1 @ a2284 )
   <= ~ ( c1_1 @ a2284 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl1450,plain,
    ( ( ( c3_1 @ a2284 )
      | ( c2_1 @ a2284 ) )
   <= ( ~ ( c1_1 @ a2284 )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl702]) ).

thf('237',plain,
    ( ( c2_1 @ a2284 )
    | ( c3_1 @ a2284 )
    | ~ ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ( c3_1 @ X40 ) )
    | ( c1_1 @ a2284 ) ),
    inference(split,[status(esa)],[zip_derived_cl1450]) ).

thf(zip_derived_cl180,plain,
    ( ~ hskp5
    | ~ ( c0_1 @ a2284 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('238',plain,
    ( ~ ( c0_1 @ a2284 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl180]) ).

thf('239',plain,
    ( ~ ( c1_1 @ a2284 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a2284 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('240',plain,
    ( ~ ( c3_1 @ a2284 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl463_130,plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c2_1 @ X84 ) )
   <= ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c2_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(zip_derived_cl702_131,plain,
    ( ~ ( c1_1 @ a2284 )
   <= ~ ( c1_1 @ a2284 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl1948,plain,
    ( ( ~ ( c2_1 @ a2284 )
      | ( c0_1 @ a2284 ) )
   <= ( ~ ( c1_1 @ a2284 )
      & ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c2_1 @ X84 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl702]) ).

thf('241',plain,
    ( ~ ( c2_1 @ a2284 )
    | ( c0_1 @ a2284 )
    | ~ ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c2_1 @ X84 ) )
    | ( c1_1 @ a2284 ) ),
    inference(split,[status(esa)],[zip_derived_cl1948]) ).

thf(zip_derived_cl63,plain,
    ! [X75: $i,X76: $i] :
      ( ( c0_1 @ X75 )
      | ( c2_1 @ X75 )
      | ( c3_1 @ X75 )
      | ~ ndr1_0
      | ( c1_1 @ X76 )
      | ( c3_1 @ X76 )
      | ~ ( c0_1 @ X76 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('242',plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
    | hskp5
    | ~ ndr1_0
    | ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl152,plain,
    ( ~ hskp12
    | ( c0_1 @ a2295 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('243',plain,
    ( ( c0_1 @ a2295 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl152]) ).

thf('244',plain,
    ( ~ ( c1_1 @ a2295 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp12
    | ~ ( c3_1 @ a2295 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('245',plain,
    ( ~ ( c3_1 @ a2295 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl332_132,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl646_133,plain,
    ( ~ ( c1_1 @ a2295 )
   <= ~ ( c1_1 @ a2295 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl1266,plain,
    ( ( ~ ( c0_1 @ a2295 )
      | ( c3_1 @ a2295 ) )
   <= ( ~ ( c1_1 @ a2295 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c3_1 @ X33 )
          | ~ ( c0_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl646]) ).

thf('246',plain,
    ( ( c1_1 @ a2295 )
    | ( c3_1 @ a2295 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c3_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
    | ~ ( c0_1 @ a2295 ) ),
    inference(split,[status(esa)],[zip_derived_cl1266]) ).

thf('247',plain,
    ( hskp19
    | hskp12
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf('248',plain,
    ( ( c1_1 @ a2316 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl124]) ).

thf(zip_derived_cl588_134,plain,
    ( ( c1_1 @ a2316 )
   <= ( c1_1 @ a2316 ) ),
    inference(split,[status(esa)],[zip_derived_cl124]) ).

thf(zip_derived_cl285_135,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1343,plain,
    ( ( ( c2_1 @ a2316 )
      | ( c3_1 @ a2316 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ( c1_1 @ a2316 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl588,zip_derived_cl285]) ).

thf('249',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ~ ( c1_1 @ a2316 )
    | ( c2_1 @ a2316 )
    | ( c3_1 @ a2316 ) ),
    inference(split,[status(esa)],[zip_derived_cl1343]) ).

thf('250',plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | hskp26
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl7391,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN487+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.knM67mrLUF true
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 19:25:11 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.25/1.48  % Solved by fo/fo1_av.sh.
% 6.25/1.48  % done 2046 iterations in 0.701s
% 6.25/1.48  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.25/1.48  % SZS output start Refutation
% See solution above
% 6.25/1.49  
% 6.25/1.49  
% 6.25/1.49  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 6.25/1.49  % Terminating...
% 6.85/1.61  % Runner terminated.
% 6.85/1.62  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------