TSTP Solution File: SYN488+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN488+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.tJcLOAX7Ku true

% Computer : n016.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 5.99s 1.51s
% Output   : Refutation 5.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   70
% Syntax   : Number of formulae    :  820 (   1 unt;  69 typ;   0 def)
%            Number of atoms       : 4968 (   0 equ;   0 cnn)
%            Maximal formula atoms :  722 (   6 avg)
%            Number of connectives : 10711 (2608   ~;3102   |; 540   &;3886   @)
%                                         (   0 <=>; 224  =>; 351  <=;   0 <~>)
%            Maximal formula depth :  111 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   70 (  69 usr;  66 con; 0-1 aty)
%            Number of variables   :  895 (   0   ^; 895   !;   0   ?; 895   :)

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

thf(a2405_type,type,
    a2405: $i ).

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

thf(a2450_type,type,
    a2450: $i ).

thf(a2416_type,type,
    a2416: $i ).

thf(a2455_type,type,
    a2455: $i ).

thf(a2406_type,type,
    a2406: $i ).

thf(a2425_type,type,
    a2425: $i ).

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

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

thf(a2402_type,type,
    a2402: $i ).

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

thf(a2410_type,type,
    a2410: $i ).

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

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

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

thf(a2403_type,type,
    a2403: $i ).

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

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

thf(a2407_type,type,
    a2407: $i ).

thf(a2432_type,type,
    a2432: $i ).

thf(a2453_type,type,
    a2453: $i ).

thf(a2409_type,type,
    a2409: $i ).

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

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

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

thf(a2414_type,type,
    a2414: $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(a2498_type,type,
    a2498: $i ).

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

thf(a2413_type,type,
    a2413: $i ).

thf(a2417_type,type,
    a2417: $i ).

thf(a2428_type,type,
    a2428: $i ).

thf(a2437_type,type,
    a2437: $i ).

thf(a2484_type,type,
    a2484: $i ).

thf(a2427_type,type,
    a2427: $i ).

thf(a2422_type,type,
    a2422: $i ).

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

thf(a2435_type,type,
    a2435: $i ).

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

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

thf(a2411_type,type,
    a2411: $i ).

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

thf(a2478_type,type,
    a2478: $i ).

thf(a2412_type,type,
    a2412: $i ).

thf(a2418_type,type,
    a2418: $i ).

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

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

thf(a2420_type,type,
    a2420: $i ).

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

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

thf(a2408_type,type,
    a2408: $i ).

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

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

thf(a2468_type,type,
    a2468: $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(a2404_type,type,
    a2404: $i ).

thf(a2500_type,type,
    a2500: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c0_1 @ a2402 )
          & ( c3_1 @ a2402 )
          & ~ ( c1_1 @ a2402 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c1_1 @ a2403 )
          & ~ ( c2_1 @ a2403 )
          & ~ ( c3_1 @ a2403 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ ( c1_1 @ a2404 )
          & ~ ( c2_1 @ a2404 )
          & ~ ( c3_1 @ a2404 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c0_1 @ a2405 )
          & ( c2_1 @ a2405 )
          & ~ ( c3_1 @ a2405 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c0_1 @ a2407 )
          & ~ ( c1_1 @ a2407 )
          & ~ ( c2_1 @ a2407 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c0_1 @ a2408 )
          & ( c3_1 @ a2408 )
          & ~ ( c2_1 @ a2408 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c0_1 @ a2410 )
          & ( c1_1 @ a2410 )
          & ~ ( c2_1 @ a2410 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c2_1 @ a2411 )
          & ~ ( c1_1 @ a2411 )
          & ~ ( c3_1 @ a2411 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c1_1 @ a2412 )
          & ~ ( c0_1 @ a2412 )
          & ~ ( c2_1 @ a2412 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c2_1 @ a2413 )
          & ~ ( c0_1 @ a2413 )
          & ~ ( c1_1 @ a2413 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c0_1 @ a2414 )
          & ~ ( c1_1 @ a2414 )
          & ~ ( c3_1 @ a2414 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c3_1 @ a2416 )
          & ~ ( c1_1 @ a2416 )
          & ~ ( c2_1 @ a2416 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c3_1 @ a2417 )
          & ~ ( c0_1 @ a2417 )
          & ~ ( c1_1 @ a2417 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c1_1 @ a2418 )
          & ( c2_1 @ a2418 )
          & ~ ( c0_1 @ a2418 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c1_1 @ a2420 )
          & ( c2_1 @ a2420 )
          & ~ ( c3_1 @ a2420 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c1_1 @ a2422 )
          & ( c3_1 @ a2422 )
          & ~ ( c2_1 @ a2422 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c0_1 @ a2425 )
          & ~ ( c2_1 @ a2425 )
          & ~ ( c3_1 @ a2425 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c2_1 @ a2427 )
          & ( c3_1 @ a2427 )
          & ~ ( c1_1 @ a2427 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ ( c0_1 @ a2428 )
          & ~ ( c2_1 @ a2428 )
          & ~ ( c3_1 @ a2428 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c1_1 @ a2432 )
          & ( c3_1 @ a2432 )
          & ~ ( c0_1 @ a2432 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c3_1 @ a2435 )
          & ~ ( c0_1 @ a2435 )
          & ~ ( c2_1 @ a2435 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c0_1 @ a2437 )
          & ( c2_1 @ a2437 )
          & ~ ( c1_1 @ a2437 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ ( c0_1 @ a2453 )
          & ~ ( c1_1 @ a2453 )
          & ~ ( c2_1 @ a2453 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c2_1 @ a2455 )
          & ( c3_1 @ a2455 )
          & ~ ( c0_1 @ a2455 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c1_1 @ a2468 )
          & ~ ( c0_1 @ a2468 )
          & ~ ( c3_1 @ a2468 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c2_1 @ a2478 )
          & ~ ( c0_1 @ a2478 )
          & ~ ( c3_1 @ a2478 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a2484 )
          & ( c1_1 @ a2484 )
          & ~ ( c3_1 @ a2484 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ ( c0_1 @ a2500 )
          & ~ ( c1_1 @ a2500 )
          & ~ ( c3_1 @ a2500 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c1_1 @ a2406 )
          & ( c2_1 @ a2406 )
          & ( c3_1 @ a2406 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a2409 )
          & ( c2_1 @ a2409 )
          & ( c3_1 @ a2409 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a2450 )
          & ( c1_1 @ a2450 )
          & ( c3_1 @ a2450 ) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & ( c0_1 @ a2498 )
          & ( c1_1 @ a2498 )
          & ( c2_1 @ a2498 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c1_1 @ V )
              | ~ ( c2_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c1_1 @ W )
              | ~ ( c0_1 @ W )
              | ~ ( c2_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c1_1 @ Y )
              | ~ ( c3_1 @ Y ) ) )
        | hskp0 )
      & ( ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c1_1 @ Z )
              | ( c2_1 @ Z ) ) )
        | ! [X1: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X1 )
              | ~ ( c2_1 @ X1 )
              | ~ ( c3_1 @ X1 ) ) )
        | hskp1 )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c2_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X3 )
              | ( c3_1 @ X3 )
              | ~ ( c0_1 @ X3 ) ) )
        | ! [X4: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X4 )
              | ~ ( c1_1 @ X4 )
              | ~ ( c3_1 @ X4 ) ) ) )
      & ( ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ( c2_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X6 )
              | ( c3_1 @ X6 )
              | ~ ( c1_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X7 )
              | ~ ( c1_1 @ X7 )
              | ~ ( c3_1 @ X7 ) ) ) )
      & ( ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ( c1_1 @ X8 )
              | ( c3_1 @ X8 ) ) )
        | ! [X9: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X9 )
              | ~ ( c1_1 @ X9 )
              | ~ ( c2_1 @ X9 ) ) )
        | hskp2 )
      & ( ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ( c3_1 @ X10 ) ) )
        | hskp3
        | hskp28 )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c1_1 @ X11 )
              | ~ ( c2_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ~ ( c1_1 @ X12 )
              | ~ ( c3_1 @ X12 ) ) )
        | hskp4 )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c1_1 @ X13 )
              | ~ ( c2_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ~ ( c2_1 @ X14 )
              | ~ ( c3_1 @ X14 ) ) )
        | hskp5 )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c2_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X16 )
              | ~ ( c0_1 @ X16 )
              | ~ ( c3_1 @ X16 ) ) )
        | hskp29 )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c1_1 @ X17 )
              | ~ ( c2_1 @ X17 ) ) )
        | hskp6
        | hskp7 )
      & ( ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ( c1_1 @ X18 )
              | ~ ( c2_1 @ X18 ) ) )
        | hskp8
        | hskp9 )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c1_1 @ X19 )
              | ~ ( c3_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c2_1 @ X20 )
              | ( c3_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X21 )
              | ~ ( c2_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) ) )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c1_1 @ X22 )
              | ~ ( c3_1 @ X22 ) ) )
        | ! [X23: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X23 )
              | ~ ( c2_1 @ X23 )
              | ~ ( c3_1 @ X23 ) ) )
        | hskp10 )
      & ( ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c1_1 @ X24 )
              | ~ ( c3_1 @ X24 ) ) )
        | hskp6
        | hskp11 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c1_1 @ X25 )
              | ~ ( c3_1 @ X25 ) ) )
        | hskp12 )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c2_1 @ X26 )
              | ( c3_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ~ ( c1_1 @ X27 )
              | ~ ( c2_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X28 )
              | ~ ( c1_1 @ X28 )
              | ~ ( c3_1 @ X28 ) ) ) )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ( c3_1 @ X29 ) ) )
        | hskp13
        | hskp1 )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ( c2_1 @ X30 )
              | ( c3_1 @ X30 ) ) )
        | hskp14
        | hskp1 )
      & ( ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ( c2_1 @ X31 )
              | ~ ( c1_1 @ X31 ) ) )
        | ! [X32: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X32 )
              | ( c2_1 @ X32 )
              | ~ ( c0_1 @ X32 ) ) )
        | ! [X33: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X33 )
              | ~ ( c0_1 @ X33 )
              | ~ ( c1_1 @ X33 ) ) ) )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c2_1 @ X34 )
              | ~ ( c1_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X35 )
              | ~ ( c1_1 @ X35 )
              | ~ ( c2_1 @ X35 ) ) )
        | hskp15 )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c2_1 @ X36 )
              | ~ ( c1_1 @ X36 ) ) )
        | hskp29
        | hskp0 )
      & ( ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ( c2_1 @ X37 )
              | ~ ( c1_1 @ X37 ) ) )
        | hskp16
        | hskp13 )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ( c2_1 @ X38 )
              | ~ ( c1_1 @ X38 ) ) )
        | hskp17
        | hskp18 )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ( c2_1 @ X39 )
              | ~ ( c3_1 @ X39 ) ) )
        | ! [X40: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X40 )
              | ~ ( c0_1 @ X40 )
              | ~ ( c2_1 @ X40 ) ) )
        | hskp2 )
      & ( ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ( c2_1 @ X41 )
              | ~ ( c3_1 @ X41 ) ) )
        | ! [X42: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X42 )
              | ~ ( c1_1 @ X42 )
              | ~ ( c3_1 @ X42 ) ) )
        | hskp12 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ( c3_1 @ X43 )
              | ~ ( c1_1 @ X43 ) ) )
        | ! [X44: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X44 )
              | ( c2_1 @ X44 )
              | ~ ( c3_1 @ X44 ) ) )
        | hskp4 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ~ ( c1_1 @ X45 )
              | ~ ( c2_1 @ X45 ) ) )
        | ! [X46: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X46 )
              | ( c3_1 @ X46 )
              | ~ ( c0_1 @ X46 ) ) )
        | hskp19 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X47 )
              | ~ ( c1_1 @ X47 )
              | ~ ( c2_1 @ X47 ) ) )
        | hskp12
        | hskp11 )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ~ ( c1_1 @ X48 )
              | ~ ( c3_1 @ X48 ) ) )
        | ! [X49: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X49 )
              | ~ ( c1_1 @ X49 )
              | ~ ( c3_1 @ X49 ) ) )
        | hskp20 )
      & ( ! [X50: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X50 )
              | ~ ( c1_1 @ X50 )
              | ~ ( c3_1 @ X50 ) ) )
        | ! [X51: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X51 )
              | ~ ( c0_1 @ X51 )
              | ~ ( c2_1 @ X51 ) ) )
        | hskp7 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X52 )
              | ~ ( c1_1 @ X52 )
              | ~ ( c3_1 @ X52 ) ) )
        | hskp21
        | hskp17 )
      & ( ! [X53: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X53 )
              | ~ ( c1_1 @ X53 )
              | ~ ( c3_1 @ X53 ) ) )
        | hskp1
        | hskp9 )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X54 )
              | ~ ( c1_1 @ X54 )
              | ~ ( c3_1 @ X54 ) ) )
        | hskp7
        | hskp20 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X55 )
              | ~ ( c2_1 @ X55 )
              | ~ ( c3_1 @ X55 ) ) )
        | ! [X56: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X56 )
              | ~ ( c2_1 @ X56 )
              | ~ ( c3_1 @ X56 ) ) )
        | hskp2 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X57 )
              | ~ ( c2_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | hskp6
        | hskp21 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X58 )
              | ~ ( c2_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | hskp28
        | hskp9 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X59 )
              | ~ ( c2_1 @ X59 )
              | ~ ( c3_1 @ X59 ) ) )
        | hskp15 )
      & ( ! [X60: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X60 )
              | ( c2_1 @ X60 )
              | ~ ( c0_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X61 )
              | ( c3_1 @ X61 )
              | ~ ( c0_1 @ X61 ) ) )
        | hskp10 )
      & ( ! [X62: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X62 )
              | ( c2_1 @ X62 )
              | ~ ( c0_1 @ X62 ) ) )
        | hskp30
        | hskp21 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X63 )
              | ( c2_1 @ X63 )
              | ~ ( c0_1 @ X63 ) ) )
        | hskp5
        | hskp22 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X64 )
              | ( c2_1 @ X64 )
              | ~ ( c3_1 @ X64 ) ) )
        | ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ~ ( c2_1 @ X65 )
              | ~ ( c3_1 @ X65 ) ) )
        | hskp1 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ( c2_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) )
        | ! [X67: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X67 )
              | ( c3_1 @ X67 )
              | ~ ( c1_1 @ X67 ) ) )
        | hskp23 )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ( c2_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | hskp10
        | hskp16 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X69 )
              | ( c3_1 @ X69 )
              | ~ ( c0_1 @ X69 ) ) )
        | ! [X70: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X70 )
              | ~ ( c0_1 @ X70 )
              | ~ ( c1_1 @ X70 ) ) )
        | ! [X71: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X71 )
              | ~ ( c2_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) ) )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ( c3_1 @ X72 )
              | ~ ( c2_1 @ X72 ) ) )
        | ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ~ ( c0_1 @ X73 )
              | ~ ( c2_1 @ X73 ) ) )
        | hskp3 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X74 )
              | ( c3_1 @ X74 )
              | ~ ( c2_1 @ X74 ) ) )
        | ! [X75: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X75 )
              | ~ ( c0_1 @ X75 )
              | ~ ( c1_1 @ X75 ) ) )
        | hskp2 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X76 )
              | ( c3_1 @ X76 )
              | ~ ( c2_1 @ X76 ) ) )
        | ! [X77: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X77 )
              | ~ ( c0_1 @ X77 )
              | ~ ( c1_1 @ X77 ) ) )
        | hskp14 )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X78 )
              | ( c3_1 @ X78 )
              | ~ ( c2_1 @ X78 ) ) )
        | hskp0
        | hskp9 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X79 )
              | ( c3_1 @ X79 )
              | ~ ( c2_1 @ X79 ) ) )
        | hskp16
        | hskp12 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X80 )
              | ~ ( c0_1 @ X80 )
              | ~ ( c2_1 @ X80 ) ) )
        | ! [X81: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X81 )
              | ( c3_1 @ X81 )
              | ~ ( c1_1 @ X81 ) ) )
        | ! [X82: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X82 )
              | ~ ( c2_1 @ X82 )
              | ~ ( c3_1 @ X82 ) ) ) )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X83 )
              | ~ ( c2_1 @ X83 )
              | ~ ( c3_1 @ X83 ) ) )
        | ! [X84: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X84 )
              | ( c3_1 @ X84 )
              | ~ ( c0_1 @ X84 ) ) )
        | ! [X85: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X85 )
              | ~ ( c1_1 @ X85 )
              | ~ ( c3_1 @ X85 ) ) ) )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X86 )
              | ~ ( c2_1 @ X86 )
              | ~ ( c3_1 @ X86 ) ) )
        | hskp21
        | hskp11 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X87 )
              | ~ ( c2_1 @ X87 )
              | ~ ( c3_1 @ X87 ) ) )
        | hskp15
        | hskp24 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X88 )
              | ( c3_1 @ X88 )
              | ~ ( c0_1 @ X88 ) ) )
        | hskp5
        | hskp19 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X89 )
              | ( c3_1 @ X89 )
              | ~ ( c1_1 @ X89 ) ) )
        | hskp30
        | hskp2 )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X90 )
              | ( c3_1 @ X90 )
              | ~ ( c1_1 @ X90 ) ) )
        | hskp6
        | hskp1 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X91 )
              | ~ ( c0_1 @ X91 )
              | ~ ( c1_1 @ X91 ) ) )
        | hskp5
        | hskp1 )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X92 )
              | ~ ( c0_1 @ X92 )
              | ~ ( c1_1 @ X92 ) ) )
        | hskp19
        | hskp25 )
      & ( ! [X93: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X93 )
              | ~ ( c0_1 @ X93 )
              | ~ ( c1_1 @ X93 ) ) )
        | hskp25
        | hskp7 )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X94 )
              | ~ ( c1_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) )
        | ! [X95: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X95 )
              | ~ ( c0_1 @ X95 )
              | ~ ( c1_1 @ X95 ) ) )
        | hskp30 )
      & ( ! [X96: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X96 )
              | ~ ( c0_1 @ X96 )
              | ~ ( c1_1 @ X96 ) ) )
        | ! [X97: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X97 )
              | ~ ( c2_1 @ X97 )
              | ~ ( c3_1 @ X97 ) ) )
        | hskp10 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X98 )
              | ~ ( c0_1 @ X98 )
              | ~ ( c1_1 @ X98 ) ) )
        | hskp6
        | hskp26 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X99 )
              | ~ ( c0_1 @ X99 )
              | ~ ( c2_1 @ X99 ) ) )
        | ! [X100: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X100 )
              | ~ ( c1_1 @ X100 )
              | ~ ( c2_1 @ X100 ) ) )
        | hskp20 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X101 )
              | ~ ( c1_1 @ X101 )
              | ~ ( c2_1 @ X101 ) ) )
        | hskp6
        | hskp23 )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X102 )
              | ~ ( c1_1 @ X102 )
              | ~ ( c2_1 @ X102 ) ) )
        | hskp3
        | hskp24 )
      & ( ! [X103: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X103 )
              | ~ ( c1_1 @ X103 )
              | ~ ( c3_1 @ X103 ) ) )
        | hskp14
        | hskp23 )
      & ( ! [X104: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X104 )
              | ~ ( c2_1 @ X104 )
              | ~ ( c3_1 @ X104 ) ) )
        | hskp20
        | hskp18 )
      & ( ! [X105: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X105 )
              | ~ ( c2_1 @ X105 )
              | ~ ( c3_1 @ X105 ) ) )
        | hskp21
        | hskp0 )
      & ( ! [X106: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X106 )
              | ~ ( c2_1 @ X106 )
              | ~ ( c3_1 @ X106 ) ) )
        | hskp15
        | hskp11 )
      & ( hskp31
        | hskp25
        | hskp27 )
      & ( hskp30
        | hskp26
        | hskp19 )
      & ( hskp26
        | hskp8
        | hskp11 )
      & ( hskp3
        | hskp5
        | hskp18 )
      & ( hskp5
        | hskp19
        | hskp25 )
      & ( hskp8
        | hskp9
        | hskp7 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c0_1 @ a2402 )
        & ( c3_1 @ a2402 )
        & ~ ( c1_1 @ a2402 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c1_1 @ a2403 )
        & ~ ( c2_1 @ a2403 )
        & ~ ( c3_1 @ a2403 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ ( c1_1 @ a2404 )
        & ~ ( c2_1 @ a2404 )
        & ~ ( c3_1 @ a2404 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c0_1 @ a2405 )
        & ( c2_1 @ a2405 )
        & ~ ( c3_1 @ a2405 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c0_1 @ a2407 )
        & ~ ( c1_1 @ a2407 )
        & ~ ( c2_1 @ a2407 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c0_1 @ a2408 )
        & ( c3_1 @ a2408 )
        & ~ ( c2_1 @ a2408 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c0_1 @ a2410 )
        & ( c1_1 @ a2410 )
        & ~ ( c2_1 @ a2410 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c2_1 @ a2411 )
        & ~ ( c1_1 @ a2411 )
        & ~ ( c3_1 @ a2411 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c1_1 @ a2412 )
        & ~ ( c0_1 @ a2412 )
        & ~ ( c2_1 @ a2412 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c2_1 @ a2413 )
        & ~ ( c0_1 @ a2413 )
        & ~ ( c1_1 @ a2413 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c0_1 @ a2414 )
        & ~ ( c1_1 @ a2414 )
        & ~ ( c3_1 @ a2414 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c3_1 @ a2416 )
        & ~ ( c1_1 @ a2416 )
        & ~ ( c2_1 @ a2416 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c3_1 @ a2417 )
        & ~ ( c0_1 @ a2417 )
        & ~ ( c1_1 @ a2417 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c1_1 @ a2418 )
        & ( c2_1 @ a2418 )
        & ~ ( c0_1 @ a2418 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c1_1 @ a2420 )
        & ( c2_1 @ a2420 )
        & ~ ( c3_1 @ a2420 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c1_1 @ a2422 )
        & ( c3_1 @ a2422 )
        & ~ ( c2_1 @ a2422 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c0_1 @ a2425 )
        & ~ ( c2_1 @ a2425 )
        & ~ ( c3_1 @ a2425 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c2_1 @ a2427 )
        & ( c3_1 @ a2427 )
        & ~ ( c1_1 @ a2427 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ ( c0_1 @ a2428 )
        & ~ ( c2_1 @ a2428 )
        & ~ ( c3_1 @ a2428 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c1_1 @ a2432 )
        & ( c3_1 @ a2432 )
        & ~ ( c0_1 @ a2432 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c3_1 @ a2435 )
        & ~ ( c0_1 @ a2435 )
        & ~ ( c2_1 @ a2435 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c0_1 @ a2437 )
        & ( c2_1 @ a2437 )
        & ~ ( c1_1 @ a2437 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ ( c0_1 @ a2453 )
        & ~ ( c1_1 @ a2453 )
        & ~ ( c2_1 @ a2453 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c2_1 @ a2455 )
        & ( c3_1 @ a2455 )
        & ~ ( c0_1 @ a2455 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c1_1 @ a2468 )
        & ~ ( c0_1 @ a2468 )
        & ~ ( c3_1 @ a2468 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c2_1 @ a2478 )
        & ~ ( c0_1 @ a2478 )
        & ~ ( c3_1 @ a2478 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a2484 )
        & ( c1_1 @ a2484 )
        & ~ ( c3_1 @ a2484 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ ( c0_1 @ a2500 )
        & ~ ( c1_1 @ a2500 )
        & ~ ( c3_1 @ a2500 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c1_1 @ a2406 )
        & ( c2_1 @ a2406 )
        & ( c3_1 @ a2406 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a2409 )
        & ( c2_1 @ a2409 )
        & ( c3_1 @ a2409 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a2450 )
        & ( c1_1 @ a2450 )
        & ( c3_1 @ a2450 ) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ( c0_1 @ a2498 )
        & ( c1_1 @ a2498 )
        & ( c2_1 @ a2498 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c1_1 @ V )
            | ~ ( c2_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c1_1 @ W )
            | ~ ( c0_1 @ W )
            | ~ ( c2_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c1_1 @ Y )
            | ~ ( c3_1 @ Y ) ) )
      | hskp0 )
    & ( ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c1_1 @ Z )
            | ( c2_1 @ Z ) ) )
      | ! [X1: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X1 )
            | ~ ( c2_1 @ X1 )
            | ~ ( c3_1 @ X1 ) ) )
      | hskp1 )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c2_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X3 )
            | ( c3_1 @ X3 )
            | ~ ( c0_1 @ X3 ) ) )
      | ! [X4: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X4 )
            | ~ ( c1_1 @ X4 )
            | ~ ( c3_1 @ X4 ) ) ) )
    & ( ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ( c2_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X6 )
            | ( c3_1 @ X6 )
            | ~ ( c1_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X7 )
            | ~ ( c1_1 @ X7 )
            | ~ ( c3_1 @ X7 ) ) ) )
    & ( ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ( c1_1 @ X8 )
            | ( c3_1 @ X8 ) ) )
      | ! [X9: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X9 )
            | ~ ( c1_1 @ X9 )
            | ~ ( c2_1 @ X9 ) ) )
      | hskp2 )
    & ( ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ( c3_1 @ X10 ) ) )
      | hskp3
      | hskp28 )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c1_1 @ X11 )
            | ~ ( c2_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ~ ( c1_1 @ X12 )
            | ~ ( c3_1 @ X12 ) ) )
      | hskp4 )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c1_1 @ X13 )
            | ~ ( c2_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ~ ( c2_1 @ X14 )
            | ~ ( c3_1 @ X14 ) ) )
      | hskp5 )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c2_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X16 )
            | ~ ( c0_1 @ X16 )
            | ~ ( c3_1 @ X16 ) ) )
      | hskp29 )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c1_1 @ X17 )
            | ~ ( c2_1 @ X17 ) ) )
      | hskp6
      | hskp7 )
    & ( ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ( c1_1 @ X18 )
            | ~ ( c2_1 @ X18 ) ) )
      | hskp8
      | hskp9 )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c1_1 @ X19 )
            | ~ ( c3_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c2_1 @ X20 )
            | ( c3_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X21 )
            | ~ ( c2_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) ) )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c1_1 @ X22 )
            | ~ ( c3_1 @ X22 ) ) )
      | ! [X23: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X23 )
            | ~ ( c2_1 @ X23 )
            | ~ ( c3_1 @ X23 ) ) )
      | hskp10 )
    & ( ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c1_1 @ X24 )
            | ~ ( c3_1 @ X24 ) ) )
      | hskp6
      | hskp11 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c1_1 @ X25 )
            | ~ ( c3_1 @ X25 ) ) )
      | hskp12 )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c2_1 @ X26 )
            | ( c3_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ~ ( c1_1 @ X27 )
            | ~ ( c2_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X28 )
            | ~ ( c1_1 @ X28 )
            | ~ ( c3_1 @ X28 ) ) ) )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ( c3_1 @ X29 ) ) )
      | hskp13
      | hskp1 )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ( c2_1 @ X30 )
            | ( c3_1 @ X30 ) ) )
      | hskp14
      | hskp1 )
    & ( ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ( c2_1 @ X31 )
            | ~ ( c1_1 @ X31 ) ) )
      | ! [X32: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X32 )
            | ( c2_1 @ X32 )
            | ~ ( c0_1 @ X32 ) ) )
      | ! [X33: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X33 )
            | ~ ( c0_1 @ X33 )
            | ~ ( c1_1 @ X33 ) ) ) )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c2_1 @ X34 )
            | ~ ( c1_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X35 )
            | ~ ( c1_1 @ X35 )
            | ~ ( c2_1 @ X35 ) ) )
      | hskp15 )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c2_1 @ X36 )
            | ~ ( c1_1 @ X36 ) ) )
      | hskp29
      | hskp0 )
    & ( ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ( c2_1 @ X37 )
            | ~ ( c1_1 @ X37 ) ) )
      | hskp16
      | hskp13 )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ( c2_1 @ X38 )
            | ~ ( c1_1 @ X38 ) ) )
      | hskp17
      | hskp18 )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ( c2_1 @ X39 )
            | ~ ( c3_1 @ X39 ) ) )
      | ! [X40: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X40 )
            | ~ ( c0_1 @ X40 )
            | ~ ( c2_1 @ X40 ) ) )
      | hskp2 )
    & ( ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ( c2_1 @ X41 )
            | ~ ( c3_1 @ X41 ) ) )
      | ! [X42: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X42 )
            | ~ ( c1_1 @ X42 )
            | ~ ( c3_1 @ X42 ) ) )
      | hskp12 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ( c3_1 @ X43 )
            | ~ ( c1_1 @ X43 ) ) )
      | ! [X44: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X44 )
            | ( c2_1 @ X44 )
            | ~ ( c3_1 @ X44 ) ) )
      | hskp4 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ~ ( c1_1 @ X45 )
            | ~ ( c2_1 @ X45 ) ) )
      | ! [X46: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X46 )
            | ( c3_1 @ X46 )
            | ~ ( c0_1 @ X46 ) ) )
      | hskp19 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X47 )
            | ~ ( c1_1 @ X47 )
            | ~ ( c2_1 @ X47 ) ) )
      | hskp12
      | hskp11 )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ~ ( c1_1 @ X48 )
            | ~ ( c3_1 @ X48 ) ) )
      | ! [X49: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X49 )
            | ~ ( c1_1 @ X49 )
            | ~ ( c3_1 @ X49 ) ) )
      | hskp20 )
    & ( ! [X50: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X50 )
            | ~ ( c1_1 @ X50 )
            | ~ ( c3_1 @ X50 ) ) )
      | ! [X51: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X51 )
            | ~ ( c0_1 @ X51 )
            | ~ ( c2_1 @ X51 ) ) )
      | hskp7 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X52 )
            | ~ ( c1_1 @ X52 )
            | ~ ( c3_1 @ X52 ) ) )
      | hskp21
      | hskp17 )
    & ( ! [X53: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X53 )
            | ~ ( c1_1 @ X53 )
            | ~ ( c3_1 @ X53 ) ) )
      | hskp1
      | hskp9 )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X54 )
            | ~ ( c1_1 @ X54 )
            | ~ ( c3_1 @ X54 ) ) )
      | hskp7
      | hskp20 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X55 )
            | ~ ( c2_1 @ X55 )
            | ~ ( c3_1 @ X55 ) ) )
      | ! [X56: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X56 )
            | ~ ( c2_1 @ X56 )
            | ~ ( c3_1 @ X56 ) ) )
      | hskp2 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X57 )
            | ~ ( c2_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | hskp6
      | hskp21 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X58 )
            | ~ ( c2_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | hskp28
      | hskp9 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X59 )
            | ~ ( c2_1 @ X59 )
            | ~ ( c3_1 @ X59 ) ) )
      | hskp15 )
    & ( ! [X60: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X60 )
            | ( c2_1 @ X60 )
            | ~ ( c0_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X61 )
            | ( c3_1 @ X61 )
            | ~ ( c0_1 @ X61 ) ) )
      | hskp10 )
    & ( ! [X62: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X62 )
            | ( c2_1 @ X62 )
            | ~ ( c0_1 @ X62 ) ) )
      | hskp30
      | hskp21 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X63 )
            | ( c2_1 @ X63 )
            | ~ ( c0_1 @ X63 ) ) )
      | hskp5
      | hskp22 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X64 )
            | ( c2_1 @ X64 )
            | ~ ( c3_1 @ X64 ) ) )
      | ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ~ ( c2_1 @ X65 )
            | ~ ( c3_1 @ X65 ) ) )
      | hskp1 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ( c2_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) )
      | ! [X67: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X67 )
            | ( c3_1 @ X67 )
            | ~ ( c1_1 @ X67 ) ) )
      | hskp23 )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ( c2_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | hskp10
      | hskp16 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X69 )
            | ( c3_1 @ X69 )
            | ~ ( c0_1 @ X69 ) ) )
      | ! [X70: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X70 )
            | ~ ( c0_1 @ X70 )
            | ~ ( c1_1 @ X70 ) ) )
      | ! [X71: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X71 )
            | ~ ( c2_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) ) )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ( c3_1 @ X72 )
            | ~ ( c2_1 @ X72 ) ) )
      | ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ~ ( c0_1 @ X73 )
            | ~ ( c2_1 @ X73 ) ) )
      | hskp3 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X74 )
            | ( c3_1 @ X74 )
            | ~ ( c2_1 @ X74 ) ) )
      | ! [X75: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X75 )
            | ~ ( c0_1 @ X75 )
            | ~ ( c1_1 @ X75 ) ) )
      | hskp2 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X76 )
            | ( c3_1 @ X76 )
            | ~ ( c2_1 @ X76 ) ) )
      | ! [X77: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X77 )
            | ~ ( c0_1 @ X77 )
            | ~ ( c1_1 @ X77 ) ) )
      | hskp14 )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X78 )
            | ( c3_1 @ X78 )
            | ~ ( c2_1 @ X78 ) ) )
      | hskp0
      | hskp9 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X79 )
            | ( c3_1 @ X79 )
            | ~ ( c2_1 @ X79 ) ) )
      | hskp16
      | hskp12 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X80 )
            | ~ ( c0_1 @ X80 )
            | ~ ( c2_1 @ X80 ) ) )
      | ! [X81: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X81 )
            | ( c3_1 @ X81 )
            | ~ ( c1_1 @ X81 ) ) )
      | ! [X82: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X82 )
            | ~ ( c2_1 @ X82 )
            | ~ ( c3_1 @ X82 ) ) ) )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X83 )
            | ~ ( c2_1 @ X83 )
            | ~ ( c3_1 @ X83 ) ) )
      | ! [X84: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X84 )
            | ( c3_1 @ X84 )
            | ~ ( c0_1 @ X84 ) ) )
      | ! [X85: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X85 )
            | ~ ( c1_1 @ X85 )
            | ~ ( c3_1 @ X85 ) ) ) )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X86 )
            | ~ ( c2_1 @ X86 )
            | ~ ( c3_1 @ X86 ) ) )
      | hskp21
      | hskp11 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X87 )
            | ~ ( c2_1 @ X87 )
            | ~ ( c3_1 @ X87 ) ) )
      | hskp15
      | hskp24 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X88 )
            | ( c3_1 @ X88 )
            | ~ ( c0_1 @ X88 ) ) )
      | hskp5
      | hskp19 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X89 )
            | ( c3_1 @ X89 )
            | ~ ( c1_1 @ X89 ) ) )
      | hskp30
      | hskp2 )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X90 )
            | ( c3_1 @ X90 )
            | ~ ( c1_1 @ X90 ) ) )
      | hskp6
      | hskp1 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X91 )
            | ~ ( c0_1 @ X91 )
            | ~ ( c1_1 @ X91 ) ) )
      | hskp5
      | hskp1 )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X92 )
            | ~ ( c0_1 @ X92 )
            | ~ ( c1_1 @ X92 ) ) )
      | hskp19
      | hskp25 )
    & ( ! [X93: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X93 )
            | ~ ( c0_1 @ X93 )
            | ~ ( c1_1 @ X93 ) ) )
      | hskp25
      | hskp7 )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X94 )
            | ~ ( c1_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) )
      | ! [X95: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X95 )
            | ~ ( c0_1 @ X95 )
            | ~ ( c1_1 @ X95 ) ) )
      | hskp30 )
    & ( ! [X96: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X96 )
            | ~ ( c0_1 @ X96 )
            | ~ ( c1_1 @ X96 ) ) )
      | ! [X97: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X97 )
            | ~ ( c2_1 @ X97 )
            | ~ ( c3_1 @ X97 ) ) )
      | hskp10 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X98 )
            | ~ ( c0_1 @ X98 )
            | ~ ( c1_1 @ X98 ) ) )
      | hskp6
      | hskp26 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X99 )
            | ~ ( c0_1 @ X99 )
            | ~ ( c2_1 @ X99 ) ) )
      | ! [X100: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X100 )
            | ~ ( c1_1 @ X100 )
            | ~ ( c2_1 @ X100 ) ) )
      | hskp20 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X101 )
            | ~ ( c1_1 @ X101 )
            | ~ ( c2_1 @ X101 ) ) )
      | hskp6
      | hskp23 )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X102 )
            | ~ ( c1_1 @ X102 )
            | ~ ( c2_1 @ X102 ) ) )
      | hskp3
      | hskp24 )
    & ( ! [X103: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X103 )
            | ~ ( c1_1 @ X103 )
            | ~ ( c3_1 @ X103 ) ) )
      | hskp14
      | hskp23 )
    & ( ! [X104: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X104 )
            | ~ ( c2_1 @ X104 )
            | ~ ( c3_1 @ X104 ) ) )
      | hskp20
      | hskp18 )
    & ( ! [X105: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X105 )
            | ~ ( c2_1 @ X105 )
            | ~ ( c3_1 @ X105 ) ) )
      | hskp21
      | hskp0 )
    & ( ! [X106: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X106 )
            | ~ ( c2_1 @ X106 )
            | ~ ( c3_1 @ X106 ) ) )
      | hskp15
      | hskp11 )
    & ( hskp31
      | hskp25
      | hskp27 )
    & ( hskp30
      | hskp26
      | hskp19 )
    & ( hskp26
      | hskp8
      | hskp11 )
    & ( hskp3
      | hskp5
      | hskp18 )
    & ( hskp5
      | hskp19
      | hskp25 )
    & ( hskp8
      | hskp9
      | hskp7 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp10
    | ~ ( c1_1 @ a2414 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ~ ( c1_1 @ a2414 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl32,plain,
    ! [X38: $i] :
      ( ( c1_1 @ X38 )
      | ( c2_1 @ X38 )
      | ~ ( c3_1 @ X38 )
      | ~ ndr1_0
      | hskp10
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( hskp10
    | hskp16
    | ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl21,plain,
    ! [X18: $i] :
      ( ( c2_1 @ X18 )
      | ( c3_1 @ X18 )
      | ~ ( c0_1 @ X18 )
      | ~ ndr1_0
      | hskp5
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl282,plain,
    ( ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp16
    | ~ ( c3_1 @ a2425 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl626,plain,
    ( ~ ( c3_1 @ a2425 )
   <= ~ ( c3_1 @ a2425 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl993,plain,
    ( ( ~ ( c0_1 @ a2425 )
      | ( c2_1 @ a2425 ) )
   <= ( ~ ( c3_1 @ a2425 )
      & ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl282,zip_derived_cl626]) ).

thf('2',plain,
    ( ( c3_1 @ a2425 )
    | ( c2_1 @ a2425 )
    | ~ ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 ) )
    | ~ ( c0_1 @ a2425 ) ),
    inference(split,[status(esa)],[zip_derived_cl993]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0
      | hskp20
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( hskp18
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0
    | hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl57,plain,
    ! [X76: $i] :
      ( ( c0_1 @ X76 )
      | ( c2_1 @ X76 )
      | ( c3_1 @ X76 )
      | ~ ndr1_0
      | hskp14
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl425,plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) )
   <= ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp2
    | ~ ( c3_1 @ a2404 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl738,plain,
    ( ~ ( c3_1 @ a2404 )
   <= ~ ( c3_1 @ a2404 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl2090,plain,
    ( ( ( c2_1 @ a2404 )
      | ( c0_1 @ a2404 ) )
   <= ( ~ ( c3_1 @ a2404 )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ( c3_1 @ X76 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl425,zip_derived_cl738]) ).

thf('4',plain,
    ( ( c0_1 @ a2404 )
    | ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ( c3_1 @ X76 ) )
    | ( c3_1 @ a2404 )
    | ( c2_1 @ a2404 ) ),
    inference(split,[status(esa)],[zip_derived_cl2090]) ).

thf(zip_derived_cl72,plain,
    ! [X102: $i,X103: $i,X104: $i] :
      ( ( c0_1 @ X102 )
      | ( c1_1 @ X102 )
      | ( c2_1 @ X102 )
      | ~ ndr1_0
      | ( c2_1 @ X103 )
      | ( c3_1 @ X103 )
      | ~ ( c0_1 @ X103 )
      | ~ ndr1_0
      | ( c2_1 @ X104 )
      | ~ ( c1_1 @ X104 )
      | ~ ( c3_1 @ X104 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) )
    | ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ( c2_1 @ X99 ) )
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp20
    | ( c3_1 @ a2435 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl590,plain,
    ( ( c3_1 @ a2435 )
   <= ( c3_1 @ a2435 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl60,plain,
    ! [X81: $i] :
      ( ( c0_1 @ X81 )
      | ( c1_1 @ X81 )
      | ~ ( c3_1 @ X81 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl437,plain,
    ( ! [X81: $i] :
        ( ( c0_1 @ X81 )
        | ( c1_1 @ X81 )
        | ~ ( c3_1 @ X81 ) )
   <= ! [X81: $i] :
        ( ( c0_1 @ X81 )
        | ( c1_1 @ X81 )
        | ~ ( c3_1 @ X81 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl1927,plain,
    ( ( ( c0_1 @ a2435 )
      | ( c1_1 @ a2435 ) )
   <= ( ! [X81: $i] :
          ( ( c0_1 @ X81 )
          | ( c1_1 @ X81 )
          | ~ ( c3_1 @ X81 ) )
      & ( c3_1 @ a2435 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl590,zip_derived_cl437]) ).

thf('6',plain,
    ( ~ ! [X81: $i] :
          ( ( c0_1 @ X81 )
          | ( c1_1 @ X81 )
          | ~ ( c3_1 @ X81 ) )
    | ( c1_1 @ a2435 )
    | ( c0_1 @ a2435 )
    | ~ ( c3_1 @ a2435 ) ),
    inference(split,[status(esa)],[zip_derived_cl1927]) ).

thf(zip_derived_cl29,plain,
    ! [X31: $i,X32: $i] :
      ( ( c1_1 @ X31 )
      | ( c3_1 @ X31 )
      | ~ ( c2_1 @ X31 )
      | ~ ndr1_0
      | ( c2_1 @ X32 )
      | ~ ( c0_1 @ X32 )
      | ~ ( c1_1 @ X32 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( hskp2
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl47,plain,
    ! [X59: $i] :
      ( ( c0_1 @ X59 )
      | ~ ( c1_1 @ X59 )
      | ~ ( c2_1 @ X59 )
      | ~ ndr1_0
      | hskp12
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl385,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c2_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl10,plain,
    ! [X4: $i] :
      ( ~ ( c0_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | hskp3
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl238,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1795,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl238]) ).

thf(zip_derived_cl1863,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1795]) ).

thf(zip_derived_cl282_001,plain,
    ( ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp14
    | ~ ( c3_1 @ a2420 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl642,plain,
    ( ~ ( c3_1 @ a2420 )
   <= ~ ( c3_1 @ a2420 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl992,plain,
    ( ( ~ ( c0_1 @ a2420 )
      | ( c2_1 @ a2420 ) )
   <= ( ~ ( c3_1 @ a2420 )
      & ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl282,zip_derived_cl642]) ).

thf(zip_derived_cl1149,plain,
    ( ( c2_1 @ a2420 )
   <= ( c2_1 @ a2420 ) ),
    inference(split,[status(esa)],[zip_derived_cl992]) ).

thf(zip_derived_cl2349,plain,
    ( ~ ( c1_1 @ a2420 )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
      & ( c2_1 @ a2420 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1863,zip_derived_cl1149]) ).

thf(zip_derived_cl26,plain,
    ! [X27: $i] :
      ( ( c1_1 @ X27 )
      | ( c3_1 @ X27 )
      | ~ ( c2_1 @ X27 )
      | ~ ndr1_0
      | hskp16
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl302,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl642_002,plain,
    ( ~ ( c3_1 @ a2420 )
   <= ~ ( c3_1 @ a2420 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1162,plain,
    ( ( ~ ( c2_1 @ a2420 )
      | ( c1_1 @ a2420 ) )
   <= ( ~ ( c3_1 @ a2420 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c2_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl642]) ).

thf(zip_derived_cl1298,plain,
    ( ( c1_1 @ a2420 )
   <= ( c1_1 @ a2420 ) ),
    inference(split,[status(esa)],[zip_derived_cl1162]) ).

thf('8',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ~ ( c2_1 @ a2420 )
    | ~ ( c1_1 @ a2420 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2349,zip_derived_cl1298]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp29
    | ( c3_1 @ a2409 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl522,plain,
    ( ( c3_1 @ a2409 )
   <= ( c3_1 @ a2409 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp15
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl222,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1396,plain,
    ( ( ~ ( c1_1 @ a2409 )
      | ~ ( c2_1 @ a2409 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a2409 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl522,zip_derived_cl222]) ).

thf('9',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a2409 )
    | ~ ( c2_1 @ a2409 )
    | ~ ( c3_1 @ a2409 ) ),
    inference(split,[status(esa)],[zip_derived_cl1396]) ).

thf(zip_derived_cl49,plain,
    ! [X62: $i,X63: $i] :
      ( ( c0_1 @ X62 )
      | ( c3_1 @ X62 )
      | ~ ( c1_1 @ X62 )
      | ~ ndr1_0
      | ( c1_1 @ X63 )
      | ( c2_1 @ X63 )
      | ~ ( c3_1 @ X63 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl394,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp7
    | ~ ( c3_1 @ a2411 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl698,plain,
    ( ~ ( c3_1 @ a2411 )
   <= ~ ( c3_1 @ a2411 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl1952,plain,
    ( ( ~ ( c1_1 @ a2411 )
      | ( c0_1 @ a2411 ) )
   <= ( ~ ( c3_1 @ a2411 )
      & ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl698]) ).

thf(zip_derived_cl4677,plain,
    ( ( c0_1 @ a2411 )
   <= ( c0_1 @ a2411 ) ),
    inference(split,[status(esa)],[zip_derived_cl1952]) ).

thf(zip_derived_cl25,plain,
    ! [X24: $i,X25: $i,X26: $i] :
      ( ( c1_1 @ X24 )
      | ~ ( c0_1 @ X24 )
      | ~ ( c2_1 @ X24 )
      | ~ ndr1_0
      | ( c2_1 @ X25 )
      | ( c3_1 @ X25 )
      | ~ ( c1_1 @ X25 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ( c3_1 @ X26 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl300,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl4681,plain,
    ( ( ( c1_1 @ a2411 )
      | ~ ( c2_1 @ a2411 ) )
   <= ( ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
      & ( c0_1 @ a2411 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4677,zip_derived_cl300]) ).

thf('10',plain,
    ( ~ ( c0_1 @ a2411 )
    | ~ ( c2_1 @ a2411 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ( c1_1 @ a2411 ) ),
    inference(split,[status(esa)],[zip_derived_cl4681]) ).

thf(zip_derived_cl642_003,plain,
    ( ~ ( c3_1 @ a2420 )
   <= ~ ( c3_1 @ a2420 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl12,plain,
    ! [X6: $i,X7: $i] :
      ( ( c3_1 @ X6 )
      | ~ ( c0_1 @ X6 )
      | ~ ( c2_1 @ X6 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ( c2_1 @ X7 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl247,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_cl12]) ).

thf(zip_derived_cl901,plain,
    ( ( ~ ( c0_1 @ a2420 )
      | ~ ( c2_1 @ a2420 ) )
   <= ( ~ ( c3_1 @ a2420 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl642,zip_derived_cl247]) ).

thf('11',plain,
    ( ~ ( c0_1 @ a2420 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c2_1 @ a2420 )
    | ( c3_1 @ a2420 ) ),
    inference(split,[status(esa)],[zip_derived_cl901]) ).

thf(zip_derived_cl385_004,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c2_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl1040,plain,
    ( ~ ( c0_1 @ a2420 )
   <= ~ ( c0_1 @ a2420 ) ),
    inference(split,[status(esa)],[zip_derived_cl901]) ).

thf(zip_derived_cl1816,plain,
    ( ( ~ ( c2_1 @ a2420 )
      | ~ ( c1_1 @ a2420 ) )
   <= ( ~ ( c0_1 @ a2420 )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl1040]) ).

thf('12',plain,
    ( ( c0_1 @ a2420 )
    | ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ~ ( c2_1 @ a2420 )
    | ~ ( c1_1 @ a2420 ) ),
    inference(split,[status(esa)],[zip_derived_cl1816]) ).

thf(zip_derived_cl31,plain,
    ! [X35: $i,X36: $i,X37: $i] :
      ( ( c1_1 @ X35 )
      | ( c3_1 @ X35 )
      | ~ ( c0_1 @ X35 )
      | ~ ndr1_0
      | ( c3_1 @ X36 )
      | ~ ( c0_1 @ X36 )
      | ~ ( c1_1 @ X36 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X37 )
      | ~ ( c2_1 @ X37 )
      | ~ ( c3_1 @ X37 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl324,plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c3_1 @ X35 )
        | ~ ( c0_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c3_1 @ X35 )
        | ~ ( c0_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl698_005,plain,
    ( ~ ( c3_1 @ a2411 )
   <= ~ ( c3_1 @ a2411 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl1269,plain,
    ( ( ~ ( c0_1 @ a2411 )
      | ( c1_1 @ a2411 ) )
   <= ( ~ ( c3_1 @ a2411 )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c0_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl698]) ).

thf('13',plain,
    ( ~ ( c0_1 @ a2411 )
    | ( c1_1 @ a2411 )
    | ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c0_1 @ X35 ) )
    | ( c3_1 @ a2411 ) ),
    inference(split,[status(esa)],[zip_derived_cl1269]) ).

thf(zip_derived_cl0,plain,
    ( hskp8
    | hskp9
    | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('14',plain,
    ( hskp7
    | hskp9
    | hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp8
    | ( c1_1 @ a2412 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('15',plain,
    ( ( c1_1 @ a2412 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a2412 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( ~ ( c0_1 @ a2412 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp8
    | ~ ( c2_1 @ a2412 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('17',plain,
    ( ~ ( c2_1 @ a2412 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl52,plain,
    ! [X68: $i] :
      ( ( c0_1 @ X68 )
      | ( c2_1 @ X68 )
      | ~ ( c1_1 @ X68 )
      | ~ ndr1_0
      | hskp17
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl405,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl688,plain,
    ( ~ ( c0_1 @ a2412 )
   <= ~ ( c0_1 @ a2412 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl2005,plain,
    ( ( ~ ( c1_1 @ a2412 )
      | ( c2_1 @ a2412 ) )
   <= ( ~ ( c0_1 @ a2412 )
      & ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c1_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl688]) ).

thf('18',plain,
    ( ~ ( c1_1 @ a2412 )
    | ( c0_1 @ a2412 )
    | ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c1_1 @ X68 ) )
    | ( c2_1 @ a2412 ) ),
    inference(split,[status(esa)],[zip_derived_cl2005]) ).

thf(zip_derived_cl56,plain,
    ! [X73: $i,X74: $i,X75: $i] :
      ( ( c0_1 @ X73 )
      | ( c2_1 @ X73 )
      | ~ ( c1_1 @ X73 )
      | ~ ndr1_0
      | ( c1_1 @ X74 )
      | ( c2_1 @ X74 )
      | ~ ( c0_1 @ X74 )
      | ~ ndr1_0
      | ( c2_1 @ X75 )
      | ~ ( c0_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('19',plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
    | ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) )
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf('20',plain,
    ( hskp4
    | ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
    | ~ ndr1_0
    | ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl64,plain,
    ! [X88: $i] :
      ( ( c0_1 @ X88 )
      | ( c1_1 @ X88 )
      | ~ ( c2_1 @ X88 )
      | ~ ndr1_0
      | hskp8
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl452,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c2_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c2_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a2417 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl656,plain,
    ( ~ ( c0_1 @ a2417 )
   <= ~ ( c0_1 @ a2417 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl2143,plain,
    ( ( ~ ( c2_1 @ a2417 )
      | ( c1_1 @ a2417 ) )
   <= ( ~ ( c0_1 @ a2417 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c2_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl656]) ).

thf('21',plain,
    ( ~ ( c2_1 @ a2417 )
    | ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c2_1 @ X88 ) )
    | ( c0_1 @ a2417 )
    | ( c1_1 @ a2417 ) ),
    inference(split,[status(esa)],[zip_derived_cl2143]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp12
    | ( c3_1 @ a2417 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl654,plain,
    ( ( c3_1 @ a2417 )
   <= ( c3_1 @ a2417 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl326,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl1538,plain,
    ( ( ( c1_1 @ a2417 )
      | ( c2_1 @ a2417 ) )
   <= ( ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
      & ( c3_1 @ a2417 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl326]) ).

thf('22',plain,
    ( ~ ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
    | ( c2_1 @ a2417 )
    | ~ ( c3_1 @ a2417 )
    | ( c1_1 @ a2417 ) ),
    inference(split,[status(esa)],[zip_derived_cl1538]) ).

thf(zip_derived_cl48,plain,
    ! [X60: $i,X61: $i] :
      ( ( c0_1 @ X60 )
      | ~ ( c1_1 @ X60 )
      | ~ ( c2_1 @ X60 )
      | ~ ndr1_0
      | ( c1_1 @ X61 )
      | ( c3_1 @ X61 )
      | ~ ( c0_1 @ X61 )
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('23',plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c3_1 @ X35 )
        | ~ ( c0_1 @ X35 ) )
    | hskp19
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl394_006,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp25
    | ~ ( c3_1 @ a2478 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl554,plain,
    ( ~ ( c3_1 @ a2478 )
   <= ~ ( c3_1 @ a2478 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl1958,plain,
    ( ( ~ ( c1_1 @ a2478 )
      | ( c0_1 @ a2478 ) )
   <= ( ~ ( c3_1 @ a2478 )
      & ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl554]) ).

thf('24',plain,
    ( ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) )
    | ~ ( c1_1 @ a2478 )
    | ( c0_1 @ a2478 )
    | ( c3_1 @ a2478 ) ),
    inference(split,[status(esa)],[zip_derived_cl1958]) ).

thf(zip_derived_cl385_007,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c2_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp25
    | ~ ( c0_1 @ a2478 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl552,plain,
    ( ~ ( c0_1 @ a2478 )
   <= ~ ( c0_1 @ a2478 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl1824,plain,
    ( ( ~ ( c2_1 @ a2478 )
      | ~ ( c1_1 @ a2478 ) )
   <= ( ~ ( c0_1 @ a2478 )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl552]) ).

thf('25',plain,
    ( ~ ( c1_1 @ a2478 )
    | ~ ( c2_1 @ a2478 )
    | ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ( c0_1 @ a2478 ) ),
    inference(split,[status(esa)],[zip_derived_cl1824]) ).

thf(zip_derived_cl452_008,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c2_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c2_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl698_009,plain,
    ( ~ ( c3_1 @ a2411 )
   <= ~ ( c3_1 @ a2411 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl247_010,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_cl12]) ).

thf(zip_derived_cl952,plain,
    ( ( ~ ( c0_1 @ a2411 )
      | ~ ( c2_1 @ a2411 ) )
   <= ( ~ ( c3_1 @ a2411 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl698,zip_derived_cl247]) ).

thf(zip_derived_cl1082,plain,
    ( ~ ( c0_1 @ a2411 )
   <= ~ ( c0_1 @ a2411 ) ),
    inference(split,[status(esa)],[zip_derived_cl952]) ).

thf(zip_derived_cl2139,plain,
    ( ( ~ ( c2_1 @ a2411 )
      | ( c1_1 @ a2411 ) )
   <= ( ~ ( c0_1 @ a2411 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c2_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl1082]) ).

thf('26',plain,
    ( ( c0_1 @ a2411 )
    | ~ ( c2_1 @ a2411 )
    | ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c2_1 @ X88 ) )
    | ( c1_1 @ a2411 ) ),
    inference(split,[status(esa)],[zip_derived_cl2139]) ).

thf(zip_derived_cl324_011,plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c3_1 @ X35 )
        | ~ ( c0_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c3_1 @ X35 )
        | ~ ( c0_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp10
    | ~ ( c3_1 @ a2414 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl674,plain,
    ( ~ ( c3_1 @ a2414 )
   <= ~ ( c3_1 @ a2414 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1270,plain,
    ( ( ~ ( c0_1 @ a2414 )
      | ( c1_1 @ a2414 ) )
   <= ( ~ ( c3_1 @ a2414 )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c0_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl674]) ).

thf('27',plain,
    ( ( c1_1 @ a2414 )
    | ( c3_1 @ a2414 )
    | ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c0_1 @ X35 ) )
    | ~ ( c0_1 @ a2414 ) ),
    inference(split,[status(esa)],[zip_derived_cl1270]) ).

thf(zip_derived_cl74,plain,
    ! [X107: $i,X108: $i] :
      ( ( c0_1 @ X107 )
      | ( c1_1 @ X107 )
      | ( c2_1 @ X107 )
      | ~ ndr1_0
      | ( c0_1 @ X108 )
      | ( c1_1 @ X108 )
      | ~ ( c3_1 @ X108 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ( c2_1 @ X99 ) )
    | hskp0
    | ~ ndr1_0
    | ! [X81: $i] :
        ( ( c0_1 @ X81 )
        | ( c1_1 @ X81 )
        | ~ ( c3_1 @ X81 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl654_012,plain,
    ( ( c3_1 @ a2417 )
   <= ( c3_1 @ a2417 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl22,plain,
    ! [X19: $i] :
      ( ( c1_1 @ X19 )
      | ~ ( c2_1 @ X19 )
      | ~ ( c3_1 @ X19 )
      | ~ ndr1_0
      | hskp15
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl286,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1537,plain,
    ( ( ( c1_1 @ a2417 )
      | ~ ( c2_1 @ a2417 ) )
   <= ( ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a2417 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl286]) ).

thf('29',plain,
    ( ~ ( c2_1 @ a2417 )
    | ~ ( c3_1 @ a2417 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ( c1_1 @ a2417 ) ),
    inference(split,[status(esa)],[zip_derived_cl1537]) ).

thf(zip_derived_cl654_013,plain,
    ( ( c3_1 @ a2417 )
   <= ( c3_1 @ a2417 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl437_014,plain,
    ( ! [X81: $i] :
        ( ( c0_1 @ X81 )
        | ( c1_1 @ X81 )
        | ~ ( c3_1 @ X81 ) )
   <= ! [X81: $i] :
        ( ( c0_1 @ X81 )
        | ( c1_1 @ X81 )
        | ~ ( c3_1 @ X81 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl1923,plain,
    ( ( ( c0_1 @ a2417 )
      | ( c1_1 @ a2417 ) )
   <= ( ! [X81: $i] :
          ( ( c0_1 @ X81 )
          | ( c1_1 @ X81 )
          | ~ ( c3_1 @ X81 ) )
      & ( c3_1 @ a2417 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl437]) ).

thf('30',plain,
    ( ~ ! [X81: $i] :
          ( ( c0_1 @ X81 )
          | ( c1_1 @ X81 )
          | ~ ( c3_1 @ X81 ) )
    | ~ ( c3_1 @ a2417 )
    | ( c0_1 @ a2417 )
    | ( c1_1 @ a2417 ) ),
    inference(split,[status(esa)],[zip_derived_cl1923]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp11
    | ( c3_1 @ a2416 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl662,plain,
    ( ( c3_1 @ a2416 )
   <= ( c3_1 @ a2416 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl50,plain,
    ! [X64: $i,X65: $i] :
      ( ( c0_1 @ X64 )
      | ( c2_1 @ X64 )
      | ~ ( c3_1 @ X64 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X65 )
      | ~ ( c1_1 @ X65 )
      | ~ ( c3_1 @ X65 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl398,plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c3_1 @ X64 ) )
   <= ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c3_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1892,plain,
    ( ( ( c0_1 @ a2416 )
      | ( c2_1 @ a2416 ) )
   <= ( ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) )
      & ( c3_1 @ a2416 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl662,zip_derived_cl398]) ).

thf('31',plain,
    ( ( c0_1 @ a2416 )
    | ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) )
    | ( c2_1 @ a2416 )
    | ~ ( c3_1 @ a2416 ) ),
    inference(split,[status(esa)],[zip_derived_cl1892]) ).

thf('32',plain,
    ( hskp11
    | hskp12
    | ~ ndr1_0
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c2_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf('33',plain,
    ( hskp12
    | ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c3_1 @ X64 ) )
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl61,plain,
    ! [X82: $i] :
      ( ( c0_1 @ X82 )
      | ( c1_1 @ X82 )
      | ~ ( c3_1 @ X82 )
      | ~ ndr1_0
      | hskp6
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( hskp6
    | ! [X81: $i] :
        ( ( c0_1 @ X81 )
        | ( c1_1 @ X81 )
        | ~ ( c3_1 @ X81 ) )
    | hskp11
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp15
    | ( c3_1 @ a2422 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl632,plain,
    ( ( c3_1 @ a2422 )
   <= ( c3_1 @ a2422 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl42,plain,
    ! [X52: $i] :
      ( ( c0_1 @ X52 )
      | ~ ( c1_1 @ X52 )
      | ~ ( c3_1 @ X52 )
      | ~ ndr1_0
      | hskp7
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl365,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1737,plain,
    ( ( ( c0_1 @ a2422 )
      | ~ ( c1_1 @ a2422 ) )
   <= ( ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c3_1 @ a2422 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl632,zip_derived_cl365]) ).

thf('35',plain,
    ( ( c0_1 @ a2422 )
    | ~ ( c1_1 @ a2422 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ~ ( c3_1 @ a2422 ) ),
    inference(split,[status(esa)],[zip_derived_cl1737]) ).

thf('36',plain,
    ( hskp15
    | hskp11
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl199,plain,
    ( ~ hskp1
    | ~ ( c3_1 @ a2403 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl746,plain,
    ( ~ ( c3_1 @ a2403 )
   <= ~ ( c3_1 @ a2403 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl13,plain,
    ! [X8: $i] :
      ( ( c3_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ndr1_0
      | hskp6
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl250,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_cl13]) ).

thf(zip_derived_cl1024,plain,
    ( ( ~ ( c0_1 @ a2403 )
      | ~ ( c1_1 @ a2403 ) )
   <= ( ~ ( c3_1 @ a2403 )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl746,zip_derived_cl250]) ).

thf('37',plain,
    ( ~ ( c0_1 @ a2403 )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ( c3_1 @ a2403 )
    | ~ ( c1_1 @ a2403 ) ),
    inference(split,[status(esa)],[zip_derived_cl1024]) ).

thf(zip_derived_cl632_015,plain,
    ( ( c3_1 @ a2422 )
   <= ( c3_1 @ a2422 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl230,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1522,plain,
    ( ( ~ ( c0_1 @ a2422 )
      | ~ ( c2_1 @ a2422 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c3_1 @ a2422 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl632,zip_derived_cl230]) ).

thf(zip_derived_cl2558,plain,
    ( ~ ( c0_1 @ a2422 )
   <= ~ ( c0_1 @ a2422 ) ),
    inference(split,[status(esa)],[zip_derived_cl1522]) ).

thf(zip_derived_cl405_016,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl2561,plain,
    ( ( ( c2_1 @ a2422 )
      | ~ ( c1_1 @ a2422 ) )
   <= ( ~ ( c0_1 @ a2422 )
      & ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c1_1 @ X68 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2558,zip_derived_cl405]) ).

thf('38',plain,
    ( ( c0_1 @ a2422 )
    | ( c2_1 @ a2422 )
    | ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c1_1 @ X68 ) )
    | ~ ( c1_1 @ a2422 ) ),
    inference(split,[status(esa)],[zip_derived_cl2561]) ).

thf(zip_derived_cl632_017,plain,
    ( ( c3_1 @ a2422 )
   <= ( c3_1 @ a2422 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl9,plain,
    ! [X3: $i] :
      ( ~ ( c0_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ( c3_1 @ X3 )
      | ~ ndr1_0
      | hskp14
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl234,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1523,plain,
    ( ( ~ ( c0_1 @ a2422 )
      | ~ ( c1_1 @ a2422 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ( c3_1 @ a2422 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl632,zip_derived_cl234]) ).

thf('39',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c0_1 @ a2422 )
    | ~ ( c1_1 @ a2422 )
    | ~ ( c3_1 @ a2422 ) ),
    inference(split,[status(esa)],[zip_derived_cl1523]) ).

thf(zip_derived_cl202,plain,
    ( ~ hskp0
    | ( c3_1 @ a2402 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl752,plain,
    ( ( c3_1 @ a2402 )
   <= ( c3_1 @ a2402 ) ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf(zip_derived_cl286_018,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1714,plain,
    ( ( ( c1_1 @ a2402 )
      | ~ ( c2_1 @ a2402 ) )
   <= ( ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a2402 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl752,zip_derived_cl286]) ).

thf('40',plain,
    ( ~ ( c2_1 @ a2402 )
    | ( c1_1 @ a2402 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c3_1 @ a2402 ) ),
    inference(split,[status(esa)],[zip_derived_cl1714]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp26
    | ( c0_1 @ a2484 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl542,plain,
    ( ( c0_1 @ a2484 )
   <= ( c0_1 @ a2484 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl247_019,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_cl12]) ).

thf(zip_derived_cl230_020,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl799,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl230]) ).

thf(zip_derived_cl802,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl799]) ).

thf(zip_derived_cl1418,plain,
    ( ~ ( c2_1 @ a2484 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c0_1 @ a2484 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl802]) ).

thf(zip_derived_cl282_021,plain,
    ( ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp26
    | ~ ( c3_1 @ a2484 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl546,plain,
    ( ~ ( c3_1 @ a2484 )
   <= ~ ( c3_1 @ a2484 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl997,plain,
    ( ( ~ ( c0_1 @ a2484 )
      | ( c2_1 @ a2484 ) )
   <= ( ~ ( c3_1 @ a2484 )
      & ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl282,zip_derived_cl546]) ).

thf(zip_derived_cl1204,plain,
    ( ( c2_1 @ a2484 )
   <= ( c2_1 @ a2484 ) ),
    inference(split,[status(esa)],[zip_derived_cl997]) ).

thf('41',plain,
    ( ~ ( c2_1 @ a2484 )
    | ~ ( c0_1 @ a2484 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1418,zip_derived_cl1204]) ).

thf(zip_derived_cl590_022,plain,
    ( ( c3_1 @ a2435 )
   <= ( c3_1 @ a2435 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl365_023,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1740,plain,
    ( ( ( c0_1 @ a2435 )
      | ~ ( c1_1 @ a2435 ) )
   <= ( ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c3_1 @ a2435 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl590,zip_derived_cl365]) ).

thf('42',plain,
    ( ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ~ ( c1_1 @ a2435 )
    | ~ ( c3_1 @ a2435 )
    | ( c0_1 @ a2435 ) ),
    inference(split,[status(esa)],[zip_derived_cl1740]) ).

thf(zip_derived_cl23,plain,
    ! [X20: $i] :
      ( ( c1_1 @ X20 )
      | ~ ( c2_1 @ X20 )
      | ~ ( c3_1 @ X20 )
      | ~ ndr1_0
      | hskp21
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('43',plain,
    ( hskp11
    | hskp21
    | ~ ndr1_0
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl405_024,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl746_025,plain,
    ( ~ ( c3_1 @ a2403 )
   <= ~ ( c3_1 @ a2403 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl247_026,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_cl12]) ).

thf(zip_derived_cl1023,plain,
    ( ( ~ ( c0_1 @ a2403 )
      | ~ ( c2_1 @ a2403 ) )
   <= ( ~ ( c3_1 @ a2403 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl746,zip_derived_cl247]) ).

thf(zip_derived_cl1124,plain,
    ( ~ ( c0_1 @ a2403 )
   <= ~ ( c0_1 @ a2403 ) ),
    inference(split,[status(esa)],[zip_derived_cl1023]) ).

thf(zip_derived_cl2001,plain,
    ( ( ~ ( c1_1 @ a2403 )
      | ( c2_1 @ a2403 ) )
   <= ( ~ ( c0_1 @ a2403 )
      & ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c1_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl1124]) ).

thf('44',plain,
    ( ( c0_1 @ a2403 )
    | ( c2_1 @ a2403 )
    | ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c1_1 @ X68 ) )
    | ~ ( c1_1 @ a2403 ) ),
    inference(split,[status(esa)],[zip_derived_cl2001]) ).

thf(zip_derived_cl18,plain,
    ! [X15: $i] :
      ( ( c2_1 @ X15 )
      | ~ ( c0_1 @ X15 )
      | ~ ( c1_1 @ X15 )
      | ~ ndr1_0
      | hskp5
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('45',plain,
    ( hskp5
    | hskp1
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf('46',plain,
    ( ( c3_1 @ a2416 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a2416 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ~ ( c1_1 @ a2416 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a2416 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( ~ ( c2_1 @ a2416 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl662_027,plain,
    ( ( c3_1 @ a2416 )
   <= ( c3_1 @ a2416 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl326_028,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl1544,plain,
    ( ( ( c1_1 @ a2416 )
      | ( c2_1 @ a2416 ) )
   <= ( ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
      & ( c3_1 @ a2416 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl662,zip_derived_cl326]) ).

thf('49',plain,
    ( ~ ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
    | ( c1_1 @ a2416 )
    | ( c2_1 @ a2416 )
    | ~ ( c3_1 @ a2416 ) ),
    inference(split,[status(esa)],[zip_derived_cl1544]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp23
    | ( c3_1 @ a2455 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl568,plain,
    ( ( c3_1 @ a2455 )
   <= ( c3_1 @ a2455 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl222_029,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1443,plain,
    ( ( ~ ( c1_1 @ a2455 )
      | ~ ( c2_1 @ a2455 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a2455 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl568,zip_derived_cl222]) ).

thf('50',plain,
    ( ~ ( c3_1 @ a2455 )
    | ~ ( c1_1 @ a2455 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a2455 ) ),
    inference(split,[status(esa)],[zip_derived_cl1443]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp17
    | ( c3_1 @ a2427 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl616,plain,
    ( ( c3_1 @ a2427 )
   <= ( c3_1 @ a2427 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl66,plain,
    ! [X90: $i,X91: $i] :
      ( ( c0_1 @ X90 )
      | ( c1_1 @ X90 )
      | ~ ( c2_1 @ X90 )
      | ~ ndr1_0
      | ( c1_1 @ X91 )
      | ~ ( c0_1 @ X91 )
      | ~ ( c3_1 @ X91 )
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl460,plain,
    ( ! [X91: $i] :
        ( ( c1_1 @ X91 )
        | ~ ( c0_1 @ X91 )
        | ~ ( c3_1 @ X91 ) )
   <= ! [X91: $i] :
        ( ( c1_1 @ X91 )
        | ~ ( c0_1 @ X91 )
        | ~ ( c3_1 @ X91 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl1776,plain,
    ( ( ( c1_1 @ a2427 )
      | ~ ( c0_1 @ a2427 ) )
   <= ( ! [X91: $i] :
          ( ( c1_1 @ X91 )
          | ~ ( c0_1 @ X91 )
          | ~ ( c3_1 @ X91 ) )
      & ( c3_1 @ a2427 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl616,zip_derived_cl460]) ).

thf('51',plain,
    ( ~ ( c0_1 @ a2427 )
    | ( c1_1 @ a2427 )
    | ~ ! [X91: $i] :
          ( ( c1_1 @ X91 )
          | ~ ( c0_1 @ X91 )
          | ~ ( c3_1 @ X91 ) )
    | ~ ( c3_1 @ a2427 ) ),
    inference(split,[status(esa)],[zip_derived_cl1776]) ).

thf(zip_derived_cl20,plain,
    ! [X17: $i] :
      ( ( c2_1 @ X17 )
      | ( c3_1 @ X17 )
      | ~ ( c1_1 @ X17 )
      | ~ ndr1_0
      | hskp30
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('52',plain,
    ( hskp2
    | hskp30
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl590_030,plain,
    ( ( c3_1 @ a2435 )
   <= ( c3_1 @ a2435 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl326_031,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl1475,plain,
    ( ( ( c1_1 @ a2435 )
      | ( c2_1 @ a2435 ) )
   <= ( ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
      & ( c3_1 @ a2435 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl590,zip_derived_cl326]) ).

thf('53',plain,
    ( ~ ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
    | ( c1_1 @ a2435 )
    | ( c2_1 @ a2435 )
    | ~ ( c3_1 @ a2435 ) ),
    inference(split,[status(esa)],[zip_derived_cl1475]) ).

thf('54',plain,
    ( ( c3_1 @ a2435 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf('55',plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | hskp20
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl19,plain,
    ! [X16: $i] :
      ( ( c2_1 @ X16 )
      | ( c3_1 @ X16 )
      | ~ ( c1_1 @ X16 )
      | ~ ndr1_0
      | hskp6
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl274,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl15,plain,
    ! [X11: $i,X12: $i] :
      ( ( c2_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ( c3_1 @ X11 )
      | ~ ndr1_0
      | ( c3_1 @ X12 )
      | ~ ( c0_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ndr1_0
      | hskp30 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl259,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_cl15]) ).

thf(zip_derived_cl917,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl259]) ).

thf(zip_derived_cl934,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl917]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp6
    | ~ ( c2_1 @ a2410 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl706,plain,
    ( ~ ( c2_1 @ a2410 )
   <= ~ ( c2_1 @ a2410 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl2708,plain,
    ( ~ ( c1_1 @ a2410 )
   <= ( ~ ( c2_1 @ a2410 )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl934,zip_derived_cl706]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp6
    | ( c1_1 @ a2410 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl704,plain,
    ( ( c1_1 @ a2410 )
   <= ( c1_1 @ a2410 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf('56',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
    | ( c2_1 @ a2410 )
    | ~ ( c1_1 @ a2410 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2708,zip_derived_cl704]) ).

thf(zip_derived_cl542_032,plain,
    ( ( c0_1 @ a2484 )
   <= ( c0_1 @ a2484 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl238_033,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1412,plain,
    ( ( ~ ( c1_1 @ a2484 )
      | ~ ( c2_1 @ a2484 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ( c0_1 @ a2484 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl238]) ).

thf('57',plain,
    ( ~ ( c2_1 @ a2484 )
    | ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c0_1 @ a2484 )
    | ~ ( c1_1 @ a2484 ) ),
    inference(split,[status(esa)],[zip_derived_cl1412]) ).

thf(zip_derived_cl546_034,plain,
    ( ~ ( c3_1 @ a2484 )
   <= ~ ( c3_1 @ a2484 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl247_035,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_cl12]) ).

thf(zip_derived_cl827,plain,
    ( ( ~ ( c0_1 @ a2484 )
      | ~ ( c2_1 @ a2484 ) )
   <= ( ~ ( c3_1 @ a2484 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl546,zip_derived_cl247]) ).

thf('58',plain,
    ( ~ ( c2_1 @ a2484 )
    | ( c3_1 @ a2484 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c0_1 @ a2484 ) ),
    inference(split,[status(esa)],[zip_derived_cl827]) ).

thf(zip_derived_cl11,plain,
    ! [X5: $i] :
      ( ( c3_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ndr1_0
      | hskp6
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('59',plain,
    ( hskp6
    | hskp23
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf('60',plain,
    ( hskp14
    | ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) )
    | ~ ndr1_0
    | hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl201,plain,
    ( ~ hskp0
    | ( c0_1 @ a2402 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl750,plain,
    ( ( c0_1 @ a2402 )
   <= ( c0_1 @ a2402 ) ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf(zip_derived_cl300_036,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1692,plain,
    ( ( ( c1_1 @ a2402 )
      | ~ ( c2_1 @ a2402 ) )
   <= ( ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
      & ( c0_1 @ a2402 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl750,zip_derived_cl300]) ).

thf('61',plain,
    ( ~ ( c2_1 @ a2402 )
    | ( c1_1 @ a2402 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ~ ( c0_1 @ a2402 ) ),
    inference(split,[status(esa)],[zip_derived_cl1692]) ).

thf(zip_derived_cl7,plain,
    ! [X1: $i] :
      ( ~ ( c1_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp21
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( hskp21
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | hskp0
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf('63',plain,
    ( hskp18
    | ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) )
    | ~ ndr1_0
    | hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl746_037,plain,
    ( ~ ( c3_1 @ a2403 )
   <= ~ ( c3_1 @ a2403 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl282_038,plain,
    ( ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1026,plain,
    ( ( ( c2_1 @ a2403 )
      | ~ ( c0_1 @ a2403 ) )
   <= ( ~ ( c3_1 @ a2403 )
      & ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl746,zip_derived_cl282]) ).

thf('64',plain,
    ( ~ ( c0_1 @ a2403 )
    | ( c3_1 @ a2403 )
    | ~ ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 ) )
    | ( c2_1 @ a2403 ) ),
    inference(split,[status(esa)],[zip_derived_cl1026]) ).

thf(zip_derived_cl71,plain,
    ! [X99: $i,X100: $i,X101: $i] :
      ( ( c0_1 @ X99 )
      | ( c1_1 @ X99 )
      | ( c2_1 @ X99 )
      | ~ ndr1_0
      | ( c2_1 @ X100 )
      | ( c3_1 @ X100 )
      | ~ ( c1_1 @ X100 )
      | ~ ndr1_0
      | ( c2_1 @ X101 )
      | ~ ( c1_1 @ X101 )
      | ~ ( c3_1 @ X101 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl482,plain,
    ( ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ( c2_1 @ X99 ) )
   <= ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ( c2_1 @ X99 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp20
    | ~ ( c0_1 @ a2435 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl592,plain,
    ( ~ ( c0_1 @ a2435 )
   <= ~ ( c0_1 @ a2435 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl2292,plain,
    ( ( ( c2_1 @ a2435 )
      | ( c1_1 @ a2435 ) )
   <= ( ~ ( c0_1 @ a2435 )
      & ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ( c2_1 @ X99 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl592]) ).

thf('65',plain,
    ( ( c1_1 @ a2435 )
    | ( c2_1 @ a2435 )
    | ~ ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ( c2_1 @ X99 ) )
    | ( c0_1 @ a2435 ) ),
    inference(split,[status(esa)],[zip_derived_cl2292]) ).

thf('66',plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
    | ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ( c2_1 @ X99 ) )
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl425_039,plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) )
   <= ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl746_040,plain,
    ( ~ ( c3_1 @ a2403 )
   <= ~ ( c3_1 @ a2403 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl2089,plain,
    ( ( ( c2_1 @ a2403 )
      | ( c0_1 @ a2403 ) )
   <= ( ~ ( c3_1 @ a2403 )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ( c3_1 @ X76 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl425,zip_derived_cl746]) ).

thf('67',plain,
    ( ( c0_1 @ a2403 )
    | ( c3_1 @ a2403 )
    | ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ( c3_1 @ X76 ) )
    | ( c2_1 @ a2403 ) ),
    inference(split,[status(esa)],[zip_derived_cl2089]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp18
    | ~ ( c0_1 @ a2428 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( ~ ( c0_1 @ a2428 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a2428 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('69',plain,
    ( ~ ( c2_1 @ a2428 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp18
    | ~ ( c3_1 @ a2428 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('70',plain,
    ( ~ ( c3_1 @ a2428 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl425_041,plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) )
   <= ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl610,plain,
    ( ~ ( c3_1 @ a2428 )
   <= ~ ( c3_1 @ a2428 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl2096,plain,
    ( ( ( c2_1 @ a2428 )
      | ( c0_1 @ a2428 ) )
   <= ( ~ ( c3_1 @ a2428 )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ( c3_1 @ X76 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl425,zip_derived_cl610]) ).

thf('71',plain,
    ( ( c0_1 @ a2428 )
    | ( c2_1 @ a2428 )
    | ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ( c3_1 @ X76 ) )
    | ( c3_1 @ a2428 ) ),
    inference(split,[status(esa)],[zip_derived_cl2096]) ).

thf('72',plain,
    ( ~ ( c0_1 @ a2435 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp20
    | ~ ( c2_1 @ a2435 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('73',plain,
    ( ~ ( c2_1 @ a2435 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl46,plain,
    ! [X57: $i,X58: $i] :
      ( ( c0_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ( c3_1 @ X57 )
      | ~ ndr1_0
      | ( c2_1 @ X58 )
      | ~ ( c1_1 @ X58 )
      | ~ ( c3_1 @ X58 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('74',plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | hskp20
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl568_042,plain,
    ( ( c3_1 @ a2455 )
   <= ( c3_1 @ a2455 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl365_043,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1741,plain,
    ( ( ( c0_1 @ a2455 )
      | ~ ( c1_1 @ a2455 ) )
   <= ( ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c3_1 @ a2455 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl568,zip_derived_cl365]) ).

thf('75',plain,
    ( ( c0_1 @ a2455 )
    | ~ ( c1_1 @ a2455 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ~ ( c3_1 @ a2455 ) ),
    inference(split,[status(esa)],[zip_derived_cl1741]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp19
    | ( c3_1 @ a2432 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl600,plain,
    ( ( c3_1 @ a2432 )
   <= ( c3_1 @ a2432 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl38,plain,
    ! [X47: $i] :
      ( ( c0_1 @ X47 )
      | ~ ( c2_1 @ X47 )
      | ~ ( c3_1 @ X47 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl350,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1609,plain,
    ( ( ( c0_1 @ a2432 )
      | ~ ( c2_1 @ a2432 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c3_1 @ a2432 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl600,zip_derived_cl350]) ).

thf('76',plain,
    ( ~ ( c2_1 @ a2432 )
    | ~ ( c3_1 @ a2432 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ( c0_1 @ a2432 ) ),
    inference(split,[status(esa)],[zip_derived_cl1609]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp4
    | ( c0_1 @ a2407 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl718,plain,
    ( ( c0_1 @ a2407 )
   <= ( c0_1 @ a2407 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl35,plain,
    ! [X43: $i] :
      ( ( c1_1 @ X43 )
      | ( c2_1 @ X43 )
      | ~ ( c0_1 @ X43 )
      | ~ ndr1_0
      | hskp5
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl338,plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1651,plain,
    ( ( ( c1_1 @ a2407 )
      | ( c2_1 @ a2407 ) )
   <= ( ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) )
      & ( c0_1 @ a2407 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl338]) ).

thf('77',plain,
    ( ~ ( c0_1 @ a2407 )
    | ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) )
    | ( c1_1 @ a2407 )
    | ( c2_1 @ a2407 ) ),
    inference(split,[status(esa)],[zip_derived_cl1651]) ).

thf('78',plain,
    ( ( c0_1 @ a2407 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a2407 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( ~ ( c1_1 @ a2407 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a2407 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( ~ ( c2_1 @ a2407 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl68,plain,
    ! [X94: $i,X95: $i] :
      ( ( c0_1 @ X94 )
      | ( c1_1 @ X94 )
      | ~ ( c2_1 @ X94 )
      | ~ ndr1_0
      | ( c0_1 @ X95 )
      | ~ ( c1_1 @ X95 )
      | ~ ( c3_1 @ X95 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( hskp4
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
    | ~ ndr1_0
    | ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c2_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(zip_derived_cl59,plain,
    ! [X78: $i,X79: $i,X80: $i] :
      ( ( c0_1 @ X78 )
      | ( c2_1 @ X78 )
      | ( c3_1 @ X78 )
      | ~ ndr1_0
      | ( c0_1 @ X79 )
      | ~ ( c1_1 @ X79 )
      | ~ ( c2_1 @ X79 )
      | ~ ndr1_0
      | ( c2_1 @ X80 )
      | ~ ( c1_1 @ X80 )
      | ~ ( c3_1 @ X80 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('82',plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) )
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp15
    | ( c1_1 @ a2422 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('83',plain,
    ( ( c1_1 @ a2422 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf('84',plain,
    ( ( c3_1 @ a2422 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp15
    | ~ ( c2_1 @ a2422 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('85',plain,
    ( ~ ( c2_1 @ a2422 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf('86',plain,
    ( hskp15
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl27,plain,
    ! [X28: $i] :
      ( ( c1_1 @ X28 )
      | ( c3_1 @ X28 )
      | ~ ( c2_1 @ X28 )
      | ~ ndr1_0
      | hskp0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('87',plain,
    ( hskp9
    | hskp0
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl45,plain,
    ! [X55: $i,X56: $i] :
      ( ( c0_1 @ X55 )
      | ~ ( c1_1 @ X55 )
      | ~ ( c3_1 @ X55 )
      | ~ ndr1_0
      | ( c3_1 @ X56 )
      | ~ ( c0_1 @ X56 )
      | ~ ( c2_1 @ X56 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( hskp7
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl63,plain,
    ! [X85: $i,X86: $i,X87: $i] :
      ( ( c0_1 @ X85 )
      | ( c1_1 @ X85 )
      | ~ ( c3_1 @ X85 )
      | ~ ndr1_0
      | ( c0_1 @ X86 )
      | ( c2_1 @ X86 )
      | ( c3_1 @ X86 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X87 )
      | ~ ( c2_1 @ X87 )
      | ~ ( c3_1 @ X87 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('89',plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) )
    | ! [X81: $i] :
        ( ( c0_1 @ X81 )
        | ( c1_1 @ X81 )
        | ~ ( c3_1 @ X81 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp21
    | ( c0_1 @ a2437 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl582,plain,
    ( ( c0_1 @ a2437 )
   <= ( c0_1 @ a2437 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl802_044,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl799]) ).

thf(zip_derived_cl1455,plain,
    ( ~ ( c2_1 @ a2437 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c0_1 @ a2437 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl802]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp21
    | ( c2_1 @ a2437 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl584,plain,
    ( ( c2_1 @ a2437 )
   <= ( c2_1 @ a2437 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf('90',plain,
    ( ~ ( c0_1 @ a2437 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c2_1 @ a2437 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1455,zip_derived_cl584]) ).

thf(zip_derived_cl425_045,plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) )
   <= ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp27
    | ~ ( c3_1 @ a2500 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl538,plain,
    ( ~ ( c3_1 @ a2500 )
   <= ~ ( c3_1 @ a2500 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl2100,plain,
    ( ( ( c2_1 @ a2500 )
      | ( c0_1 @ a2500 ) )
   <= ( ~ ( c3_1 @ a2500 )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ( c3_1 @ X76 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl425,zip_derived_cl538]) ).

thf('91',plain,
    ( ( c2_1 @ a2500 )
    | ( c3_1 @ a2500 )
    | ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ( c3_1 @ X76 ) )
    | ( c0_1 @ a2500 ) ),
    inference(split,[status(esa)],[zip_derived_cl2100]) ).

thf(zip_derived_cl616_046,plain,
    ( ( c3_1 @ a2427 )
   <= ( c3_1 @ a2427 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl230_047,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1492,plain,
    ( ( ~ ( c0_1 @ a2427 )
      | ~ ( c2_1 @ a2427 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c3_1 @ a2427 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl616,zip_derived_cl230]) ).

thf('92',plain,
    ( ~ ( c0_1 @ a2427 )
    | ~ ( c2_1 @ a2427 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c3_1 @ a2427 ) ),
    inference(split,[status(esa)],[zip_derived_cl1492]) ).

thf(zip_derived_cl452_048,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c2_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c2_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp27
    | ~ ( c0_1 @ a2500 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl534,plain,
    ( ~ ( c0_1 @ a2500 )
   <= ~ ( c0_1 @ a2500 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl2155,plain,
    ( ( ~ ( c2_1 @ a2500 )
      | ( c1_1 @ a2500 ) )
   <= ( ~ ( c0_1 @ a2500 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c2_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl534]) ).

thf('93',plain,
    ( ~ ( c2_1 @ a2500 )
    | ( c0_1 @ a2500 )
    | ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c2_1 @ X88 ) )
    | ( c1_1 @ a2500 ) ),
    inference(split,[status(esa)],[zip_derived_cl2155]) ).

thf('94',plain,
    ( ~ ( c0_1 @ a2500 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp27
    | ~ ( c1_1 @ a2500 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('95',plain,
    ( ~ ( c1_1 @ a2500 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf('96',plain,
    ( ~ ( c3_1 @ a2500 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl5,plain,
    ( hskp31
    | hskp25
    | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('97',plain,
    ( hskp27
    | hskp31
    | hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf('98',plain,
    ( ~ ( c0_1 @ a2478 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl452_049,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c2_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c2_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl552_050,plain,
    ( ~ ( c0_1 @ a2478 )
   <= ~ ( c0_1 @ a2478 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl2153,plain,
    ( ( ~ ( c2_1 @ a2478 )
      | ( c1_1 @ a2478 ) )
   <= ( ~ ( c0_1 @ a2478 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c2_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl552]) ).

thf('99',plain,
    ( ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c2_1 @ X88 ) )
    | ( c1_1 @ a2478 )
    | ~ ( c2_1 @ a2478 )
    | ( c0_1 @ a2478 ) ),
    inference(split,[status(esa)],[zip_derived_cl2153]) ).

thf(zip_derived_cl632_051,plain,
    ( ( c3_1 @ a2422 )
   <= ( c3_1 @ a2422 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl259_052,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_cl15]) ).

thf(zip_derived_cl1524,plain,
    ( ( ( c2_1 @ a2422 )
      | ~ ( c1_1 @ a2422 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c3_1 @ a2422 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl632,zip_derived_cl259]) ).

thf('100',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c1_1 @ a2422 )
    | ~ ( c3_1 @ a2422 )
    | ( c2_1 @ a2422 ) ),
    inference(split,[status(esa)],[zip_derived_cl1524]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp31
    | ( c0_1 @ a2498 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( ~ hskp31
    | ( c0_1 @ a2498 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp31
    | ( c1_1 @ a2498 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('102',plain,
    ( ~ hskp31
    | ( c1_1 @ a2498 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp31
    | ( c2_1 @ a2498 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('103',plain,
    ( ~ hskp31
    | ( c2_1 @ a2498 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl502,plain,
    ( ( c0_1 @ a2498 )
   <= ( c0_1 @ a2498 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

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

thf(zip_derived_cl234_053,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl784,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl234]) ).

thf(zip_derived_cl787,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl784]) ).

thf(zip_derived_cl1327,plain,
    ( ( ~ ( c1_1 @ a2498 )
      | ~ ( c2_1 @ a2498 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c0_1 @ a2498 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl502,zip_derived_cl787]) ).

thf('104',plain,
    ( ~ ( c1_1 @ a2498 )
    | ~ ( c0_1 @ a2498 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c2_1 @ a2498 ) ),
    inference(split,[status(esa)],[zip_derived_cl1327]) ).

thf(zip_derived_cl282_054,plain,
    ( ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl674_055,plain,
    ( ~ ( c3_1 @ a2414 )
   <= ~ ( c3_1 @ a2414 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl991,plain,
    ( ( ~ ( c0_1 @ a2414 )
      | ( c2_1 @ a2414 ) )
   <= ( ~ ( c3_1 @ a2414 )
      & ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl282,zip_derived_cl674]) ).

thf('105',plain,
    ( ( c2_1 @ a2414 )
    | ( c3_1 @ a2414 )
    | ~ ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 ) )
    | ~ ( c0_1 @ a2414 ) ),
    inference(split,[status(esa)],[zip_derived_cl991]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp10
    | ( c0_1 @ a2414 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('106',plain,
    ( ( c0_1 @ a2414 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf('107',plain,
    ( ~ ( c3_1 @ a2414 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl62,plain,
    ! [X83: $i,X84: $i] :
      ( ( c0_1 @ X83 )
      | ( c1_1 @ X83 )
      | ~ ( c3_1 @ X83 )
      | ~ ndr1_0
      | ( c1_1 @ X84 )
      | ~ ( c2_1 @ X84 )
      | ~ ( c3_1 @ X84 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( hskp10
    | ! [X81: $i] :
        ( ( c0_1 @ X81 )
        | ( c1_1 @ X81 )
        | ~ ( c3_1 @ X81 ) )
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl568_056,plain,
    ( ( c3_1 @ a2455 )
   <= ( c3_1 @ a2455 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl437_057,plain,
    ( ! [X81: $i] :
        ( ( c0_1 @ X81 )
        | ( c1_1 @ X81 )
        | ~ ( c3_1 @ X81 ) )
   <= ! [X81: $i] :
        ( ( c0_1 @ X81 )
        | ( c1_1 @ X81 )
        | ~ ( c3_1 @ X81 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl1928,plain,
    ( ( ( c0_1 @ a2455 )
      | ( c1_1 @ a2455 ) )
   <= ( ! [X81: $i] :
          ( ( c0_1 @ X81 )
          | ( c1_1 @ X81 )
          | ~ ( c3_1 @ X81 ) )
      & ( c3_1 @ a2455 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl568,zip_derived_cl437]) ).

thf('109',plain,
    ( ( c1_1 @ a2455 )
    | ( c0_1 @ a2455 )
    | ~ ! [X81: $i] :
          ( ( c0_1 @ X81 )
          | ( c1_1 @ X81 )
          | ~ ( c3_1 @ X81 ) )
    | ~ ( c3_1 @ a2455 ) ),
    inference(split,[status(esa)],[zip_derived_cl1928]) ).

thf(zip_derived_cl568_058,plain,
    ( ( c3_1 @ a2455 )
   <= ( c3_1 @ a2455 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl286_059,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1447,plain,
    ( ( ( c1_1 @ a2455 )
      | ~ ( c2_1 @ a2455 ) )
   <= ( ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a2455 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl568,zip_derived_cl286]) ).

thf('110',plain,
    ( ( c1_1 @ a2455 )
    | ~ ( c3_1 @ a2455 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c2_1 @ a2455 ) ),
    inference(split,[status(esa)],[zip_derived_cl1447]) ).

thf('111',plain,
    ( hskp14
    | hskp23
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a2453 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('112',plain,
    ( ~ ( c0_1 @ a2453 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp22
    | ~ ( c1_1 @ a2453 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('113',plain,
    ( ~ ( c1_1 @ a2453 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp22
    | ~ ( c2_1 @ a2453 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('114',plain,
    ( ~ ( c2_1 @ a2453 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf('115',plain,
    ( hskp22
    | hskp5
    | ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp5
    | ~ ( c2_1 @ a2408 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( ~ ( c2_1 @ a2408 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp5
    | ( c3_1 @ a2408 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl712,plain,
    ( ( c3_1 @ a2408 )
   <= ( c3_1 @ a2408 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl326_060,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl1646,plain,
    ( ( ( c1_1 @ a2408 )
      | ( c2_1 @ a2408 ) )
   <= ( ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
      & ( c3_1 @ a2408 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl326]) ).

thf('117',plain,
    ( ( c1_1 @ a2408 )
    | ~ ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
    | ( c2_1 @ a2408 )
    | ~ ( c3_1 @ a2408 ) ),
    inference(split,[status(esa)],[zip_derived_cl1646]) ).

thf(zip_derived_cl34,plain,
    ! [X41: $i,X42: $i] :
      ( ( c1_1 @ X41 )
      | ( c2_1 @ X41 )
      | ~ ( c3_1 @ X41 )
      | ~ ndr1_0
      | ( c1_1 @ X42 )
      | ~ ( c2_1 @ X42 )
      | ~ ( c3_1 @ X42 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('118',plain,
    ( hskp1
    | ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
    | ~ ndr1_0
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp16
    | ( c0_1 @ a2425 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl622,plain,
    ( ( c0_1 @ a2425 )
   <= ( c0_1 @ a2425 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl338_061,plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1500,plain,
    ( ( ( c1_1 @ a2425 )
      | ( c2_1 @ a2425 ) )
   <= ( ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) )
      & ( c0_1 @ a2425 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl622,zip_derived_cl338]) ).

thf('119',plain,
    ( ~ ( c0_1 @ a2425 )
    | ( c2_1 @ a2425 )
    | ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) )
    | ( c1_1 @ a2425 ) ),
    inference(split,[status(esa)],[zip_derived_cl1500]) ).

thf(zip_derived_cl626_062,plain,
    ( ~ ( c3_1 @ a2425 )
   <= ~ ( c3_1 @ a2425 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl250_063,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_cl13]) ).

thf(zip_derived_cl886,plain,
    ( ( ~ ( c0_1 @ a2425 )
      | ~ ( c1_1 @ a2425 ) )
   <= ( ~ ( c3_1 @ a2425 )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl626,zip_derived_cl250]) ).

thf('120',plain,
    ( ~ ( c1_1 @ a2425 )
    | ( c3_1 @ a2425 )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ~ ( c0_1 @ a2425 ) ),
    inference(split,[status(esa)],[zip_derived_cl886]) ).

thf(zip_derived_cl75,plain,
    ! [X109: $i,X110: $i,X111: $i] :
      ( ( c0_1 @ X109 )
      | ( c1_1 @ X109 )
      | ( c2_1 @ X109 )
      | ~ ndr1_0
      | ( c0_1 @ X110 )
      | ( c1_1 @ X110 )
      | ~ ( c2_1 @ X110 )
      | ~ ndr1_0
      | ( c1_1 @ X111 )
      | ~ ( c0_1 @ X111 )
      | ~ ( c2_1 @ X111 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('121',plain,
    ( ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ( c2_1 @ X99 ) )
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
    | ~ ndr1_0
    | ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c2_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf('122',plain,
    ( ( c0_1 @ a2425 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp16
    | ~ ( c2_1 @ a2425 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( ~ ( c2_1 @ a2425 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf('124',plain,
    ( ~ ( c3_1 @ a2425 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl752_064,plain,
    ( ( c3_1 @ a2402 )
   <= ( c3_1 @ a2402 ) ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf(zip_derived_cl230_065,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1711,plain,
    ( ( ~ ( c0_1 @ a2402 )
      | ~ ( c2_1 @ a2402 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c3_1 @ a2402 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl752,zip_derived_cl230]) ).

thf('125',plain,
    ( ~ ( c2_1 @ a2402 )
    | ~ ( c3_1 @ a2402 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c0_1 @ a2402 ) ),
    inference(split,[status(esa)],[zip_derived_cl1711]) ).

thf(zip_derived_cl33,plain,
    ! [X39: $i,X40: $i] :
      ( ( c1_1 @ X39 )
      | ( c2_1 @ X39 )
      | ~ ( c3_1 @ X39 )
      | ~ ndr1_0
      | ( c2_1 @ X40 )
      | ( c3_1 @ X40 )
      | ~ ( c1_1 @ X40 )
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
    | ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
    | hskp23
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl3630,plain,
    ( ( c1_1 @ a2455 )
   <= ( c1_1 @ a2455 ) ),
    inference(split,[status(esa)],[zip_derived_cl1447]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp23
    | ( c2_1 @ a2455 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl566,plain,
    ( ( c2_1 @ a2455 )
   <= ( c2_1 @ a2455 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl242_066,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl222_067,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl782,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl222]) ).

thf(zip_derived_cl785,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl782]) ).

thf(zip_derived_cl1441,plain,
    ( ~ ( c1_1 @ a2455 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c2_1 @ a2455 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl566,zip_derived_cl785]) ).

thf('127',plain,
    ( ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c1_1 @ a2455 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a2455 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3630,zip_derived_cl1441]) ).

thf(zip_derived_cl568_068,plain,
    ( ( c3_1 @ a2455 )
   <= ( c3_1 @ a2455 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl230_069,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1444,plain,
    ( ( ~ ( c0_1 @ a2455 )
      | ~ ( c2_1 @ a2455 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c3_1 @ a2455 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl568,zip_derived_cl230]) ).

thf('128',plain,
    ( ~ ( c3_1 @ a2455 )
    | ~ ( c2_1 @ a2455 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c0_1 @ a2455 ) ),
    inference(split,[status(esa)],[zip_derived_cl1444]) ).

thf(zip_derived_cl452_070,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c2_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c2_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp23
    | ~ ( c0_1 @ a2455 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl570,plain,
    ( ~ ( c0_1 @ a2455 )
   <= ~ ( c0_1 @ a2455 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl2151,plain,
    ( ( ~ ( c2_1 @ a2455 )
      | ( c1_1 @ a2455 ) )
   <= ( ~ ( c0_1 @ a2455 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c2_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl570]) ).

thf('129',plain,
    ( ( c1_1 @ a2455 )
    | ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c2_1 @ X88 ) )
    | ( c0_1 @ a2455 )
    | ~ ( c2_1 @ a2455 ) ),
    inference(split,[status(esa)],[zip_derived_cl2151]) ).

thf(zip_derived_cl522_071,plain,
    ( ( c3_1 @ a2409 )
   <= ( c3_1 @ a2409 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl230_072,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1397,plain,
    ( ( ~ ( c0_1 @ a2409 )
      | ~ ( c2_1 @ a2409 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c3_1 @ a2409 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl522,zip_derived_cl230]) ).

thf('130',plain,
    ( ~ ( c2_1 @ a2409 )
    | ~ ( c3_1 @ a2409 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c0_1 @ a2409 ) ),
    inference(split,[status(esa)],[zip_derived_cl1397]) ).

thf(zip_derived_cl197,plain,
    ( ~ hskp1
    | ( c1_1 @ a2403 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( ( c1_1 @ a2403 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl198,plain,
    ( ~ hskp1
    | ~ ( c2_1 @ a2403 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( ~ ( c2_1 @ a2403 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf('133',plain,
    ( ~ ( c3_1 @ a2403 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl746_073,plain,
    ( ~ ( c3_1 @ a2403 )
   <= ~ ( c3_1 @ a2403 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl274_074,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1025,plain,
    ( ( ( c2_1 @ a2403 )
      | ~ ( c1_1 @ a2403 ) )
   <= ( ~ ( c3_1 @ a2403 )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl746,zip_derived_cl274]) ).

thf('134',plain,
    ( ( c2_1 @ a2403 )
    | ( c3_1 @ a2403 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
    | ~ ( c1_1 @ a2403 ) ),
    inference(split,[status(esa)],[zip_derived_cl1025]) ).

thf(zip_derived_cl43,plain,
    ! [X53: $i] :
      ( ( c0_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ( c3_1 @ X53 )
      | ~ ndr1_0
      | hskp1
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('135',plain,
    ( hskp9
    | hskp1
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp9
    | ( c2_1 @ a2413 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('136',plain,
    ( ( c2_1 @ a2413 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp9
    | ~ ( c0_1 @ a2413 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ~ ( c0_1 @ a2413 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a2413 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( ~ ( c1_1 @ a2413 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl452_075,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c2_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c2_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl680,plain,
    ( ~ ( c0_1 @ a2413 )
   <= ~ ( c0_1 @ a2413 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl2141,plain,
    ( ( ~ ( c2_1 @ a2413 )
      | ( c1_1 @ a2413 ) )
   <= ( ~ ( c0_1 @ a2413 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c2_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl680]) ).

thf('139',plain,
    ( ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c2_1 @ X88 ) )
    | ( c0_1 @ a2413 )
    | ( c1_1 @ a2413 )
    | ~ ( c2_1 @ a2413 ) ),
    inference(split,[status(esa)],[zip_derived_cl2141]) ).

thf(zip_derived_cl752_076,plain,
    ( ( c3_1 @ a2402 )
   <= ( c3_1 @ a2402 ) ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf(zip_derived_cl326_077,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl1715,plain,
    ( ( ( c1_1 @ a2402 )
      | ( c2_1 @ a2402 ) )
   <= ( ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
      & ( c3_1 @ a2402 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl752,zip_derived_cl326]) ).

thf('140',plain,
    ( ~ ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
    | ( c2_1 @ a2402 )
    | ( c1_1 @ a2402 )
    | ~ ( c3_1 @ a2402 ) ),
    inference(split,[status(esa)],[zip_derived_cl1715]) ).

thf(zip_derived_cl53,plain,
    ! [X69: $i] :
      ( ( c0_1 @ X69 )
      | ( c2_1 @ X69 )
      | ~ ( c1_1 @ X69 )
      | ~ ndr1_0
      | hskp16
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('141',plain,
    ( hskp13
    | hskp16
    | ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf('142',plain,
    ( hskp30
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl616_078,plain,
    ( ( c3_1 @ a2427 )
   <= ( c3_1 @ a2427 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl350_079,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1608,plain,
    ( ( ( c0_1 @ a2427 )
      | ~ ( c2_1 @ a2427 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c3_1 @ a2427 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl616,zip_derived_cl350]) ).

thf(zip_derived_cl4315,plain,
    ( ( c0_1 @ a2427 )
   <= ( c0_1 @ a2427 ) ),
    inference(split,[status(esa)],[zip_derived_cl1608]) ).

thf(zip_derived_cl300_080,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl4319,plain,
    ( ( ( c1_1 @ a2427 )
      | ~ ( c2_1 @ a2427 ) )
   <= ( ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
      & ( c0_1 @ a2427 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4315,zip_derived_cl300]) ).

thf('143',plain,
    ( ~ ( c0_1 @ a2427 )
    | ~ ( c2_1 @ a2427 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ( c1_1 @ a2427 ) ),
    inference(split,[status(esa)],[zip_derived_cl4319]) ).

thf(zip_derived_cl40,plain,
    ! [X49: $i] :
      ( ( c0_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ( c3_1 @ X49 )
      | ~ ndr1_0
      | hskp6
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('144',plain,
    ( hskp6
    | hskp21
    | ~ ndr1_0
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf('145',plain,
    ( ( c0_1 @ a2427 )
    | ~ ( c2_1 @ a2427 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c3_1 @ a2427 ) ),
    inference(split,[status(esa)],[zip_derived_cl1608]) ).

thf(zip_derived_cl405_081,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a2432 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl602,plain,
    ( ~ ( c0_1 @ a2432 )
   <= ~ ( c0_1 @ a2432 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl2013,plain,
    ( ( ~ ( c1_1 @ a2432 )
      | ( c2_1 @ a2432 ) )
   <= ( ~ ( c0_1 @ a2432 )
      & ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c1_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl602]) ).

thf('146',plain,
    ( ( c2_1 @ a2432 )
    | ( c0_1 @ a2432 )
    | ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c1_1 @ X68 ) )
    | ~ ( c1_1 @ a2432 ) ),
    inference(split,[status(esa)],[zip_derived_cl2013]) ).

thf(zip_derived_cl600_082,plain,
    ( ( c3_1 @ a2432 )
   <= ( c3_1 @ a2432 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl259_083,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_cl15]) ).

thf(zip_derived_cl1486,plain,
    ( ( ( c2_1 @ a2432 )
      | ~ ( c1_1 @ a2432 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c3_1 @ a2432 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl600,zip_derived_cl259]) ).

thf('147',plain,
    ( ( c2_1 @ a2432 )
    | ~ ( c3_1 @ a2432 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c1_1 @ a2432 ) ),
    inference(split,[status(esa)],[zip_derived_cl1486]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp7
    | ( c2_1 @ a2411 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( ( c2_1 @ a2411 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp7
    | ~ ( c1_1 @ a2411 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('149',plain,
    ( ~ ( c1_1 @ a2411 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf('150',plain,
    ( ~ ( c3_1 @ a2411 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl302_084,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl698_085,plain,
    ( ~ ( c3_1 @ a2411 )
   <= ~ ( c3_1 @ a2411 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl1160,plain,
    ( ( ~ ( c2_1 @ a2411 )
      | ( c1_1 @ a2411 ) )
   <= ( ~ ( c3_1 @ a2411 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c2_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl698]) ).

thf('151',plain,
    ( ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
    | ( c1_1 @ a2411 )
    | ( c3_1 @ a2411 )
    | ~ ( c2_1 @ a2411 ) ),
    inference(split,[status(esa)],[zip_derived_cl1160]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp6
    | ( c0_1 @ a2410 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl702,plain,
    ( ( c0_1 @ a2410 )
   <= ( c0_1 @ a2410 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl16,plain,
    ! [X13: $i] :
      ( ( c2_1 @ X13 )
      | ~ ( c0_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ndr1_0
      | hskp25
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl262,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1570,plain,
    ( ( ( c2_1 @ a2410 )
      | ~ ( c1_1 @ a2410 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ( c0_1 @ a2410 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl262]) ).

thf('152',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ~ ( c0_1 @ a2410 )
    | ~ ( c1_1 @ a2410 )
    | ( c2_1 @ a2410 ) ),
    inference(split,[status(esa)],[zip_derived_cl1570]) ).

thf(zip_derived_cl702_086,plain,
    ( ( c0_1 @ a2410 )
   <= ( c0_1 @ a2410 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl250_087,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_cl13]) ).

thf(zip_derived_cl234_088,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl808,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl250,zip_derived_cl234]) ).

thf(zip_derived_cl811,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl808]) ).

thf(zip_derived_cl1580,plain,
    ( ~ ( c1_1 @ a2410 )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ( c0_1 @ a2410 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl811]) ).

thf(zip_derived_cl704_089,plain,
    ( ( c1_1 @ a2410 )
   <= ( c1_1 @ a2410 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf('153',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c0_1 @ a2410 )
    | ~ ( c1_1 @ a2410 )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1580,zip_derived_cl704]) ).

thf('154',plain,
    ( ( c0_1 @ a2410 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf('155',plain,
    ( ( c1_1 @ a2410 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf('156',plain,
    ( ~ ( c2_1 @ a2410 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf('157',plain,
    ( hskp25
    | hskp7
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl600_090,plain,
    ( ( c3_1 @ a2432 )
   <= ( c3_1 @ a2432 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl222_091,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1483,plain,
    ( ( ~ ( c1_1 @ a2432 )
      | ~ ( c2_1 @ a2432 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a2432 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl600,zip_derived_cl222]) ).

thf('158',plain,
    ( ~ ( c2_1 @ a2432 )
    | ~ ( c1_1 @ a2432 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a2432 ) ),
    inference(split,[status(esa)],[zip_derived_cl1483]) ).

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

thf('159',plain,
    ( ndr1_0
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl124]) ).

thf(zip_derived_cl28,plain,
    ! [X29: $i,X30: $i] :
      ( ( c1_1 @ X29 )
      | ( c3_1 @ X29 )
      | ~ ( c2_1 @ X29 )
      | ~ ndr1_0
      | ( c3_1 @ X30 )
      | ~ ( c0_1 @ X30 )
      | ~ ( c1_1 @ X30 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('160',plain,
    ( hskp14
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl17,plain,
    ! [X14: $i] :
      ( ( c2_1 @ X14 )
      | ~ ( c0_1 @ X14 )
      | ~ ( c1_1 @ X14 )
      | ~ ndr1_0
      | hskp19
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('161',plain,
    ( hskp25
    | hskp19
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl546_092,plain,
    ( ~ ( c3_1 @ a2484 )
   <= ~ ( c3_1 @ a2484 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl242_093,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl826,plain,
    ( ( ~ ( c1_1 @ a2484 )
      | ~ ( c2_1 @ a2484 ) )
   <= ( ~ ( c3_1 @ a2484 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl546,zip_derived_cl242]) ).

thf('162',plain,
    ( ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c2_1 @ a2484 )
    | ( c3_1 @ a2484 )
    | ~ ( c1_1 @ a2484 ) ),
    inference(split,[status(esa)],[zip_derived_cl826]) ).

thf(zip_derived_cl542_094,plain,
    ( ( c0_1 @ a2484 )
   <= ( c0_1 @ a2484 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl262_095,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1413,plain,
    ( ( ( c2_1 @ a2484 )
      | ~ ( c1_1 @ a2484 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ( c0_1 @ a2484 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl262]) ).

thf('163',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ( c2_1 @ a2484 )
    | ~ ( c1_1 @ a2484 )
    | ~ ( c0_1 @ a2484 ) ),
    inference(split,[status(esa)],[zip_derived_cl1413]) ).

thf(zip_derived_cl96,plain,
    ( ~ hskp26
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( ndr1_0
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl554_096,plain,
    ( ~ ( c3_1 @ a2478 )
   <= ~ ( c3_1 @ a2478 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl242_097,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl832,plain,
    ( ( ~ ( c1_1 @ a2478 )
      | ~ ( c2_1 @ a2478 ) )
   <= ( ~ ( c3_1 @ a2478 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl554,zip_derived_cl242]) ).

thf('165',plain,
    ( ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c1_1 @ a2478 )
    | ~ ( c2_1 @ a2478 )
    | ( c3_1 @ a2478 ) ),
    inference(split,[status(esa)],[zip_derived_cl832]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp25
    | ( c2_1 @ a2478 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( ( c2_1 @ a2478 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf('167',plain,
    ( ~ ( c3_1 @ a2478 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl302_098,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl554_099,plain,
    ( ~ ( c3_1 @ a2478 )
   <= ~ ( c3_1 @ a2478 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl1166,plain,
    ( ( ~ ( c2_1 @ a2478 )
      | ( c1_1 @ a2478 ) )
   <= ( ~ ( c3_1 @ a2478 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c2_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl554]) ).

thf('168',plain,
    ( ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
    | ( c1_1 @ a2478 )
    | ( c3_1 @ a2478 )
    | ~ ( c2_1 @ a2478 ) ),
    inference(split,[status(esa)],[zip_derived_cl1166]) ).

thf(zip_derived_cl482_100,plain,
    ( ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ( c2_1 @ X99 ) )
   <= ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ( c2_1 @ X99 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl574,plain,
    ( ~ ( c0_1 @ a2453 )
   <= ~ ( c0_1 @ a2453 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl2293,plain,
    ( ( ( c2_1 @ a2453 )
      | ( c1_1 @ a2453 ) )
   <= ( ~ ( c0_1 @ a2453 )
      & ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ( c2_1 @ X99 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl574]) ).

thf('169',plain,
    ( ( c0_1 @ a2453 )
    | ( c1_1 @ a2453 )
    | ~ ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ( c2_1 @ X99 ) )
    | ( c2_1 @ a2453 ) ),
    inference(split,[status(esa)],[zip_derived_cl2293]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp13
    | ( c1_1 @ a2418 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('170',plain,
    ( ( c1_1 @ a2418 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp13
    | ( c2_1 @ a2418 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('171',plain,
    ( ( c2_1 @ a2418 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl648,plain,
    ( ( c2_1 @ a2418 )
   <= ( c2_1 @ a2418 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl785_101,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl782]) ).

thf(zip_derived_cl1531,plain,
    ( ~ ( c1_1 @ a2418 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c2_1 @ a2418 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl785]) ).

thf(zip_derived_cl646,plain,
    ( ( c1_1 @ a2418 )
   <= ( c1_1 @ a2418 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf('172',plain,
    ( ~ ( c1_1 @ a2418 )
    | ~ ( c2_1 @ a2418 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl646]) ).

thf(zip_derived_cl302_102,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl674_103,plain,
    ( ~ ( c3_1 @ a2414 )
   <= ~ ( c3_1 @ a2414 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1161,plain,
    ( ( ~ ( c2_1 @ a2414 )
      | ( c1_1 @ a2414 ) )
   <= ( ~ ( c3_1 @ a2414 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c2_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl674]) ).

thf(zip_derived_cl1294,plain,
    ( ( c1_1 @ a2414 )
   <= ( c1_1 @ a2414 ) ),
    inference(split,[status(esa)],[zip_derived_cl1161]) ).

thf(zip_derived_cl1144,plain,
    ( ( c2_1 @ a2414 )
   <= ( c2_1 @ a2414 ) ),
    inference(split,[status(esa)],[zip_derived_cl991]) ).

thf(zip_derived_cl785_104,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl782]) ).

thf(zip_derived_cl1146,plain,
    ( ~ ( c1_1 @ a2414 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c2_1 @ a2414 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1144,zip_derived_cl785]) ).

thf('173',plain,
    ( ~ ( c1_1 @ a2414 )
    | ~ ( c2_1 @ a2414 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1294,zip_derived_cl1146]) ).

thf(zip_derived_cl670,plain,
    ( ( c0_1 @ a2414 )
   <= ( c0_1 @ a2414 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl300_105,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1547,plain,
    ( ( ( c1_1 @ a2414 )
      | ~ ( c2_1 @ a2414 ) )
   <= ( ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
      & ( c0_1 @ a2414 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl670,zip_derived_cl300]) ).

thf('174',plain,
    ( ~ ( c2_1 @ a2414 )
    | ( c1_1 @ a2414 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ~ ( c0_1 @ a2414 ) ),
    inference(split,[status(esa)],[zip_derived_cl1547]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp14
    | ( c1_1 @ a2420 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('175',plain,
    ( ( c1_1 @ a2420 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp14
    | ( c2_1 @ a2420 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('176',plain,
    ( ( c2_1 @ a2420 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf('177',plain,
    ( ~ ( c3_1 @ a2420 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl642_106,plain,
    ( ~ ( c3_1 @ a2420 )
   <= ~ ( c3_1 @ a2420 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl242_107,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl900,plain,
    ( ( ~ ( c1_1 @ a2420 )
      | ~ ( c2_1 @ a2420 ) )
   <= ( ~ ( c3_1 @ a2420 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl642,zip_derived_cl242]) ).

thf('178',plain,
    ( ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c2_1 @ a2420 )
    | ( c3_1 @ a2420 )
    | ~ ( c1_1 @ a2420 ) ),
    inference(split,[status(esa)],[zip_derived_cl900]) ).

thf('179',plain,
    ( ( c2_1 @ a2484 )
    | ~ ( c0_1 @ a2484 )
    | ~ ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 ) )
    | ( c3_1 @ a2484 ) ),
    inference(split,[status(esa)],[zip_derived_cl997]) ).

thf(zip_derived_cl542_108,plain,
    ( ( c0_1 @ a2484 )
   <= ( c0_1 @ a2484 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl811_109,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl808]) ).

thf(zip_derived_cl1422,plain,
    ( ~ ( c1_1 @ a2484 )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ( c0_1 @ a2484 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl811]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp26
    | ( c1_1 @ a2484 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl544,plain,
    ( ( c1_1 @ a2484 )
   <= ( c1_1 @ a2484 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf('180',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c0_1 @ a2484 )
    | ~ ( c1_1 @ a2484 )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1422,zip_derived_cl544]) ).

thf('181',plain,
    ( ( c2_1 @ a2455 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf('182',plain,
    ( ~ hskp23
    | ( c3_1 @ a2455 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('183',plain,
    ( ~ hskp23
    | ~ ( c0_1 @ a2455 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl568_110,plain,
    ( ( c3_1 @ a2455 )
   <= ( c3_1 @ a2455 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl350_111,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1611,plain,
    ( ( ( c0_1 @ a2455 )
      | ~ ( c2_1 @ a2455 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c3_1 @ a2455 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl568,zip_derived_cl350]) ).

thf('184',plain,
    ( ( c0_1 @ a2455 )
    | ~ ( c3_1 @ a2455 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c2_1 @ a2455 ) ),
    inference(split,[status(esa)],[zip_derived_cl1611]) ).

thf('185',plain,
    ( ( c0_1 @ a2484 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf('186',plain,
    ( ( c1_1 @ a2484 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf('187',plain,
    ( ~ ( c3_1 @ a2484 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl67,plain,
    ! [X92: $i,X93: $i] :
      ( ( c0_1 @ X92 )
      | ( c1_1 @ X92 )
      | ~ ( c2_1 @ X92 )
      | ~ ndr1_0
      | ( c0_1 @ X93 )
      | ~ ( c2_1 @ X93 )
      | ~ ( c3_1 @ X93 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('188',plain,
    ( hskp5
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
    | ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c2_1 @ X88 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf('189',plain,
    ( hskp5
    | ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) )
    | hskp19
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl4,plain,
    ( hskp30
    | hskp26
    | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('190',plain,
    ( hskp26
    | hskp30
    | hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl712_112,plain,
    ( ( c3_1 @ a2408 )
   <= ( c3_1 @ a2408 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl234_113,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1643,plain,
    ( ( ~ ( c0_1 @ a2408 )
      | ~ ( c1_1 @ a2408 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ( c3_1 @ a2408 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl234]) ).

thf('191',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c1_1 @ a2408 )
    | ~ ( c3_1 @ a2408 )
    | ~ ( c0_1 @ a2408 ) ),
    inference(split,[status(esa)],[zip_derived_cl1643]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp5
    | ( c0_1 @ a2408 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('192',plain,
    ( ( c0_1 @ a2408 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf('193',plain,
    ( ( c3_1 @ a2408 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl712_114,plain,
    ( ( c3_1 @ a2408 )
   <= ( c3_1 @ a2408 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl460_115,plain,
    ( ! [X91: $i] :
        ( ( c1_1 @ X91 )
        | ~ ( c0_1 @ X91 )
        | ~ ( c3_1 @ X91 ) )
   <= ! [X91: $i] :
        ( ( c1_1 @ X91 )
        | ~ ( c0_1 @ X91 )
        | ~ ( c3_1 @ X91 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl1772,plain,
    ( ( ( c1_1 @ a2408 )
      | ~ ( c0_1 @ a2408 ) )
   <= ( ! [X91: $i] :
          ( ( c1_1 @ X91 )
          | ~ ( c0_1 @ X91 )
          | ~ ( c3_1 @ X91 ) )
      & ( c3_1 @ a2408 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl460]) ).

thf('194',plain,
    ( ( c1_1 @ a2408 )
    | ~ ( c0_1 @ a2408 )
    | ~ ! [X91: $i] :
          ( ( c1_1 @ X91 )
          | ~ ( c0_1 @ X91 )
          | ~ ( c3_1 @ X91 ) )
    | ~ ( c3_1 @ a2408 ) ),
    inference(split,[status(esa)],[zip_derived_cl1772]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp19
    | ( c1_1 @ a2432 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('195',plain,
    ( ( c1_1 @ a2432 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf('196',plain,
    ( ( c3_1 @ a2432 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf('197',plain,
    ( ~ ( c0_1 @ a2432 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl600_116,plain,
    ( ( c3_1 @ a2432 )
   <= ( c3_1 @ a2432 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl365_117,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1739,plain,
    ( ( ( c0_1 @ a2432 )
      | ~ ( c1_1 @ a2432 ) )
   <= ( ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c3_1 @ a2432 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl600,zip_derived_cl365]) ).

thf('198',plain,
    ( ~ ( c1_1 @ a2432 )
    | ~ ( c3_1 @ a2432 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ( c0_1 @ a2432 ) ),
    inference(split,[status(esa)],[zip_derived_cl1739]) ).

thf(zip_derived_cl54,plain,
    ! [X70: $i] :
      ( ( c0_1 @ X70 )
      | ( c2_1 @ X70 )
      | ~ ( c1_1 @ X70 )
      | ~ ndr1_0
      | hskp29
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('199',plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) )
    | hskp29
    | hskp0
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf('200',plain,
    ( ! [X91: $i] :
        ( ( c1_1 @ X91 )
        | ~ ( c0_1 @ X91 )
        | ~ ( c3_1 @ X91 ) )
    | hskp29
    | ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c2_1 @ X88 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl44,plain,
    ! [X54: $i] :
      ( ( c0_1 @ X54 )
      | ~ ( c1_1 @ X54 )
      | ~ ( c3_1 @ X54 )
      | ~ ndr1_0
      | hskp21
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('201',plain,
    ( hskp21
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
    | hskp17
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf('202',plain,
    ( ( c3_1 @ a2409 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl522_118,plain,
    ( ( c3_1 @ a2409 )
   <= ( c3_1 @ a2409 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl234_119,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1398,plain,
    ( ( ~ ( c0_1 @ a2409 )
      | ~ ( c1_1 @ a2409 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ( c3_1 @ a2409 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl522,zip_derived_cl234]) ).

thf('203',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c1_1 @ a2409 )
    | ~ ( c0_1 @ a2409 )
    | ~ ( c3_1 @ a2409 ) ),
    inference(split,[status(esa)],[zip_derived_cl1398]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp29
    | ( c0_1 @ a2409 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('204',plain,
    ( ( c0_1 @ a2409 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp29
    | ( c2_1 @ a2409 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('205',plain,
    ( ( c2_1 @ a2409 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl518,plain,
    ( ( c0_1 @ a2409 )
   <= ( c0_1 @ a2409 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl300_120,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1375,plain,
    ( ( ( c1_1 @ a2409 )
      | ~ ( c2_1 @ a2409 ) )
   <= ( ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
      & ( c0_1 @ a2409 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl300]) ).

thf('206',plain,
    ( ( c1_1 @ a2409 )
    | ~ ( c2_1 @ a2409 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ~ ( c0_1 @ a2409 ) ),
    inference(split,[status(esa)],[zip_derived_cl1375]) ).

thf('207',plain,
    ( ( c0_1 @ a2437 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf('208',plain,
    ( ( c2_1 @ a2437 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp21
    | ~ ( c1_1 @ a2437 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('209',plain,
    ( ~ ( c1_1 @ a2437 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl582_121,plain,
    ( ( c0_1 @ a2437 )
   <= ( c0_1 @ a2437 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl300_122,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1451,plain,
    ( ( ( c1_1 @ a2437 )
      | ~ ( c2_1 @ a2437 ) )
   <= ( ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
      & ( c0_1 @ a2437 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl300]) ).

thf('210',plain,
    ( ~ ( c0_1 @ a2437 )
    | ( c1_1 @ a2437 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ~ ( c2_1 @ a2437 ) ),
    inference(split,[status(esa)],[zip_derived_cl1451]) ).

thf(zip_derived_cl405_123,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl592_124,plain,
    ( ~ ( c0_1 @ a2435 )
   <= ~ ( c0_1 @ a2435 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl2014,plain,
    ( ( ~ ( c1_1 @ a2435 )
      | ( c2_1 @ a2435 ) )
   <= ( ~ ( c0_1 @ a2435 )
      & ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c1_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl592]) ).

thf('211',plain,
    ( ~ ( c1_1 @ a2435 )
    | ( c0_1 @ a2435 )
    | ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c1_1 @ X68 ) )
    | ( c2_1 @ a2435 ) ),
    inference(split,[status(esa)],[zip_derived_cl2014]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp17
    | ( c2_1 @ a2427 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('212',plain,
    ( ( c2_1 @ a2427 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf('213',plain,
    ( ( c3_1 @ a2427 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a2427 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('214',plain,
    ( ~ ( c1_1 @ a2427 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl616_125,plain,
    ( ( c3_1 @ a2427 )
   <= ( c3_1 @ a2427 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl286_126,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1495,plain,
    ( ( ( c1_1 @ a2427 )
      | ~ ( c2_1 @ a2427 ) )
   <= ( ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a2427 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl616,zip_derived_cl286]) ).

thf('215',plain,
    ( ~ ( c2_1 @ a2427 )
    | ( c1_1 @ a2427 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c3_1 @ a2427 ) ),
    inference(split,[status(esa)],[zip_derived_cl1495]) ).

thf(zip_derived_cl522_127,plain,
    ( ( c3_1 @ a2409 )
   <= ( c3_1 @ a2409 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl286_128,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1400,plain,
    ( ( ( c1_1 @ a2409 )
      | ~ ( c2_1 @ a2409 ) )
   <= ( ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a2409 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl522,zip_derived_cl286]) ).

thf('216',plain,
    ( ( c1_1 @ a2409 )
    | ~ ( c3_1 @ a2409 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c2_1 @ a2409 ) ),
    inference(split,[status(esa)],[zip_derived_cl1400]) ).

thf('217',plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp30
    | ( c0_1 @ a2450 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('218',plain,
    ( ( c0_1 @ a2450 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp30
    | ( c1_1 @ a2450 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('219',plain,
    ( ( c1_1 @ a2450 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp30
    | ( c3_1 @ a2450 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('220',plain,
    ( ( c3_1 @ a2450 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl514,plain,
    ( ( c3_1 @ a2450 )
   <= ( c3_1 @ a2450 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl234_129,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1369,plain,
    ( ( ~ ( c0_1 @ a2450 )
      | ~ ( c1_1 @ a2450 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ( c3_1 @ a2450 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl234]) ).

thf('221',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c0_1 @ a2450 )
    | ~ ( c1_1 @ a2450 )
    | ~ ( c3_1 @ a2450 ) ),
    inference(split,[status(esa)],[zip_derived_cl1369]) ).

thf(zip_derived_cl385_130,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c2_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl570_131,plain,
    ( ~ ( c0_1 @ a2455 )
   <= ~ ( c0_1 @ a2455 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1822,plain,
    ( ( ~ ( c2_1 @ a2455 )
      | ~ ( c1_1 @ a2455 ) )
   <= ( ~ ( c0_1 @ a2455 )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl570]) ).

thf('222',plain,
    ( ( c0_1 @ a2455 )
    | ~ ( c2_1 @ a2455 )
    | ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ~ ( c1_1 @ a2455 ) ),
    inference(split,[status(esa)],[zip_derived_cl1822]) ).

thf(zip_derived_cl662_132,plain,
    ( ( c3_1 @ a2416 )
   <= ( c3_1 @ a2416 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl460_133,plain,
    ( ! [X91: $i] :
        ( ( c1_1 @ X91 )
        | ~ ( c0_1 @ X91 )
        | ~ ( c3_1 @ X91 ) )
   <= ! [X91: $i] :
        ( ( c1_1 @ X91 )
        | ~ ( c0_1 @ X91 )
        | ~ ( c3_1 @ X91 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl1773,plain,
    ( ( ( c1_1 @ a2416 )
      | ~ ( c0_1 @ a2416 ) )
   <= ( ! [X91: $i] :
          ( ( c1_1 @ X91 )
          | ~ ( c0_1 @ X91 )
          | ~ ( c3_1 @ X91 ) )
      & ( c3_1 @ a2416 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl662,zip_derived_cl460]) ).

thf('223',plain,
    ( ~ ( c0_1 @ a2416 )
    | ~ ( c3_1 @ a2416 )
    | ~ ! [X91: $i] :
          ( ( c1_1 @ X91 )
          | ~ ( c0_1 @ X91 )
          | ~ ( c3_1 @ X91 ) )
    | ( c1_1 @ a2416 ) ),
    inference(split,[status(esa)],[zip_derived_cl1773]) ).

thf('224',plain,
    ( ( c0_1 @ a2402 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf('225',plain,
    ( ( c3_1 @ a2402 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf(zip_derived_cl203,plain,
    ( ~ hskp0
    | ~ ( c1_1 @ a2402 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('226',plain,
    ( ~ ( c1_1 @ a2402 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl752_134,plain,
    ( ( c3_1 @ a2402 )
   <= ( c3_1 @ a2402 ) ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf(zip_derived_cl460_135,plain,
    ( ! [X91: $i] :
        ( ( c1_1 @ X91 )
        | ~ ( c0_1 @ X91 )
        | ~ ( c3_1 @ X91 ) )
   <= ! [X91: $i] :
        ( ( c1_1 @ X91 )
        | ~ ( c0_1 @ X91 )
        | ~ ( c3_1 @ X91 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl1771,plain,
    ( ( ( c1_1 @ a2402 )
      | ~ ( c0_1 @ a2402 ) )
   <= ( ! [X91: $i] :
          ( ( c1_1 @ X91 )
          | ~ ( c0_1 @ X91 )
          | ~ ( c3_1 @ X91 ) )
      & ( c3_1 @ a2402 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl752,zip_derived_cl460]) ).

thf('227',plain,
    ( ~ ( c0_1 @ a2402 )
    | ( c1_1 @ a2402 )
    | ~ ! [X91: $i] :
          ( ( c1_1 @ X91 )
          | ~ ( c0_1 @ X91 )
          | ~ ( c3_1 @ X91 ) )
    | ~ ( c3_1 @ a2402 ) ),
    inference(split,[status(esa)],[zip_derived_cl1771]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp2
    | ~ ( c1_1 @ a2404 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('228',plain,
    ( ~ ( c1_1 @ a2404 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a2404 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('229',plain,
    ( ~ ( c2_1 @ a2404 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf('230',plain,
    ( ~ ( c3_1 @ a2404 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl738_136,plain,
    ( ~ ( c3_1 @ a2404 )
   <= ~ ( c3_1 @ a2404 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl282_137,plain,
    ( ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1016,plain,
    ( ( ( c2_1 @ a2404 )
      | ~ ( c0_1 @ a2404 ) )
   <= ( ~ ( c3_1 @ a2404 )
      & ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl738,zip_derived_cl282]) ).

thf('231',plain,
    ( ~ ( c0_1 @ a2404 )
    | ~ ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 ) )
    | ( c3_1 @ a2404 )
    | ( c2_1 @ a2404 ) ),
    inference(split,[status(esa)],[zip_derived_cl1016]) ).

thf(zip_derived_cl41,plain,
    ! [X50: $i,X51: $i] :
      ( ( c0_1 @ X50 )
      | ~ ( c2_1 @ X50 )
      | ~ ( c3_1 @ X50 )
      | ~ ndr1_0
      | ( c1_1 @ X51 )
      | ~ ( c2_1 @ X51 )
      | ~ ( c3_1 @ X51 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('232',plain,
    ( hskp2
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
    | ~ ndr1_0
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl24,plain,
    ! [X21: $i,X22: $i,X23: $i] :
      ( ( c1_1 @ X21 )
      | ~ ( c2_1 @ X21 )
      | ~ ( c3_1 @ X21 )
      | ~ ndr1_0
      | ( c2_1 @ X22 )
      | ( c3_1 @ X22 )
      | ~ ( c0_1 @ X22 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X23 )
      | ~ ( c1_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('233',plain,
    ( ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) )
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl180,plain,
    ( ~ hskp5
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('234',plain,
    ( ndr1_0
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl180]) ).

thf(zip_derived_cl128,plain,
    ( ~ hskp18
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('235',plain,
    ( ndr1_0
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl128]) ).

thf(zip_derived_cl188,plain,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('236',plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl188]) ).

thf(zip_derived_cl2,plain,
    ( hskp3
    | hskp5
    | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('237',plain,
    ( hskp5
    | hskp18
    | hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl482_138,plain,
    ( ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ( c2_1 @ X99 ) )
   <= ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ( c2_1 @ X99 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl738_139,plain,
    ( ~ ( c3_1 @ a2404 )
   <= ~ ( c3_1 @ a2404 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl247_140,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_cl12]) ).

thf(zip_derived_cl1013,plain,
    ( ( ~ ( c0_1 @ a2404 )
      | ~ ( c2_1 @ a2404 ) )
   <= ( ~ ( c3_1 @ a2404 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl738,zip_derived_cl247]) ).

thf(zip_derived_cl1110,plain,
    ( ~ ( c0_1 @ a2404 )
   <= ~ ( c0_1 @ a2404 ) ),
    inference(split,[status(esa)],[zip_derived_cl1013]) ).

thf(zip_derived_cl2280,plain,
    ( ( ( c2_1 @ a2404 )
      | ( c1_1 @ a2404 ) )
   <= ( ~ ( c0_1 @ a2404 )
      & ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ( c2_1 @ X99 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl1110]) ).

thf('238',plain,
    ( ( c0_1 @ a2404 )
    | ( c1_1 @ a2404 )
    | ~ ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ( c2_1 @ X99 ) )
    | ( c2_1 @ a2404 ) ),
    inference(split,[status(esa)],[zip_derived_cl2280]) ).

thf(zip_derived_cl654_141,plain,
    ( ( c3_1 @ a2417 )
   <= ( c3_1 @ a2417 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl350_142,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1606,plain,
    ( ( ( c0_1 @ a2417 )
      | ~ ( c2_1 @ a2417 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c3_1 @ a2417 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl350]) ).

thf('239',plain,
    ( ~ ( c2_1 @ a2417 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ( c0_1 @ a2417 )
    | ~ ( c3_1 @ a2417 ) ),
    inference(split,[status(esa)],[zip_derived_cl1606]) ).

thf('240',plain,
    ( ( c3_1 @ a2417 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf('241',plain,
    ( ~ ( c0_1 @ a2417 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp12
    | ~ ( c1_1 @ a2417 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('242',plain,
    ( ~ ( c1_1 @ a2417 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl482_143,plain,
    ( ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ( c2_1 @ X99 ) )
   <= ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ( c2_1 @ X99 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl656_144,plain,
    ( ~ ( c0_1 @ a2417 )
   <= ~ ( c0_1 @ a2417 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl2286,plain,
    ( ( ( c2_1 @ a2417 )
      | ( c1_1 @ a2417 ) )
   <= ( ~ ( c0_1 @ a2417 )
      & ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ( c2_1 @ X99 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl656]) ).

thf('243',plain,
    ( ( c2_1 @ a2417 )
    | ( c0_1 @ a2417 )
    | ~ ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ( c2_1 @ X99 ) )
    | ( c1_1 @ a2417 ) ),
    inference(split,[status(esa)],[zip_derived_cl2286]) ).

thf(zip_derived_cl6277,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN488+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tJcLOAX7Ku true
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 18:01:27 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.67  % Total configuration time : 435
% 0.20/0.67  % Estimated wc time : 1092
% 0.20/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.92/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.92/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.92/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.92/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.92/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.99/1.51  % Solved by fo/fo1_av.sh.
% 5.99/1.51  % done 2244 iterations in 0.693s
% 5.99/1.51  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.99/1.51  % SZS output start Refutation
% See solution above
% 5.99/1.52  
% 5.99/1.52  
% 5.99/1.52  % Terminating...
% 6.74/1.58  % Runner terminated.
% 6.74/1.59  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------