TSTP Solution File: SYN489+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN489+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UCaov4KJwZ true

% Computer : n032.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 04:04:06 EDT 2023

% Result   : Theorem 7.47s 1.54s
% Output   : Refutation 7.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   70
% Syntax   : Number of formulae    :  754 (   1 unt;  69 typ;   0 def)
%            Number of atoms       : 4711 (   0 equ;   0 cnn)
%            Maximal formula atoms :  749 (   6 avg)
%            Number of connectives : 10146 (2429   ~;2945   |; 524   &;3691   @)
%                                         (   0 <=>; 242  =>; 315  <=;   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   :  852 (   0   ^; 852   !;   0   ?; 852   :)

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

thf(a2519_type,type,
    a2519: $i ).

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

thf(a2558_type,type,
    a2558: $i ).

thf(a2531_type,type,
    a2531: $i ).

thf(a2553_type,type,
    a2553: $i ).

thf(a2529_type,type,
    a2529: $i ).

thf(a2540_type,type,
    a2540: $i ).

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

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

thf(a2516_type,type,
    a2516: $i ).

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

thf(a2523_type,type,
    a2523: $i ).

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

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

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

thf(a2517_type,type,
    a2517: $i ).

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

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

thf(a2521_type,type,
    a2521: $i ).

thf(a2548_type,type,
    a2548: $i ).

thf(a2552_type,type,
    a2552: $i ).

thf(a2556_type,type,
    a2556: $i ).

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

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

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

thf(a2528_type,type,
    a2528: $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(a2597_type,type,
    a2597: $i ).

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

thf(a2526_type,type,
    a2526: $i ).

thf(a2533_type,type,
    a2533: $i ).

thf(a2545_type,type,
    a2545: $i ).

thf(a2551_type,type,
    a2551: $i ).

thf(a2601_type,type,
    a2601: $i ).

thf(a2541_type,type,
    a2541: $i ).

thf(a2539_type,type,
    a2539: $i ).

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

thf(a2549_type,type,
    a2549: $i ).

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

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

thf(a2524_type,type,
    a2524: $i ).

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

thf(a2564_type,type,
    a2564: $i ).

thf(a2525_type,type,
    a2525: $i ).

thf(a2534_type,type,
    a2534: $i ).

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

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

thf(a2536_type,type,
    a2536: $i ).

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

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

thf(a2522_type,type,
    a2522: $i ).

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

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

thf(a2555_type,type,
    a2555: $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(a2518_type,type,
    a2518: $i ).

thf(a2614_type,type,
    a2614: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ~ ( c0_1 @ a2516 )
          & ~ ( c1_1 @ a2516 )
          & ~ ( c2_1 @ a2516 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c2_1 @ a2517 )
          & ~ ( c0_1 @ a2517 )
          & ~ ( c3_1 @ a2517 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c1_1 @ a2518 )
          & ~ ( c0_1 @ a2518 )
          & ~ ( c3_1 @ a2518 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ ( c0_1 @ a2519 )
          & ~ ( c2_1 @ a2519 )
          & ~ ( c3_1 @ a2519 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c2_1 @ a2521 )
          & ( c3_1 @ a2521 )
          & ~ ( c1_1 @ a2521 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c2_1 @ a2522 )
          & ( c3_1 @ a2522 )
          & ~ ( c0_1 @ a2522 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c0_1 @ a2523 )
          & ( c1_1 @ a2523 )
          & ~ ( c3_1 @ a2523 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c1_1 @ a2524 )
          & ( c3_1 @ a2524 )
          & ~ ( c2_1 @ a2524 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c0_1 @ a2525 )
          & ( c2_1 @ a2525 )
          & ~ ( c3_1 @ a2525 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c1_1 @ a2526 )
          & ( c3_1 @ a2526 )
          & ~ ( c0_1 @ a2526 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c3_1 @ a2528 )
          & ~ ( c0_1 @ a2528 )
          & ~ ( c1_1 @ a2528 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c1_1 @ a2531 )
          & ( c2_1 @ a2531 )
          & ~ ( c3_1 @ a2531 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ ( c1_1 @ a2533 )
          & ~ ( c2_1 @ a2533 )
          & ~ ( c3_1 @ a2533 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c1_1 @ a2534 )
          & ~ ( c0_1 @ a2534 )
          & ~ ( c2_1 @ a2534 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ~ ( c0_1 @ a2536 )
          & ~ ( c1_1 @ a2536 )
          & ~ ( c3_1 @ a2536 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c3_1 @ a2539 )
          & ~ ( c0_1 @ a2539 )
          & ~ ( c2_1 @ a2539 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c0_1 @ a2540 )
          & ~ ( c2_1 @ a2540 )
          & ~ ( c3_1 @ a2540 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c3_1 @ a2541 )
          & ~ ( c1_1 @ a2541 )
          & ~ ( c2_1 @ a2541 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c1_1 @ a2545 )
          & ( c2_1 @ a2545 )
          & ~ ( c0_1 @ a2545 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c0_1 @ a2548 )
          & ( c3_1 @ a2548 )
          & ~ ( c1_1 @ a2548 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c2_1 @ a2549 )
          & ~ ( c0_1 @ a2549 )
          & ~ ( c1_1 @ a2549 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c0_1 @ a2551 )
          & ( c1_1 @ a2551 )
          & ~ ( c2_1 @ a2551 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c2_1 @ a2552 )
          & ~ ( c1_1 @ a2552 )
          & ~ ( c3_1 @ a2552 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c0_1 @ a2553 )
          & ~ ( c1_1 @ a2553 )
          & ~ ( c3_1 @ a2553 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c0_1 @ a2555 )
          & ( c2_1 @ a2555 )
          & ~ ( c1_1 @ a2555 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c0_1 @ a2564 )
          & ~ ( c1_1 @ a2564 )
          & ~ ( c2_1 @ a2564 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a2601 )
          & ( c3_1 @ a2601 )
          & ~ ( c2_1 @ a2601 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c1_1 @ a2614 )
          & ~ ( c2_1 @ a2614 )
          & ~ ( c3_1 @ a2614 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a2529 )
          & ( c2_1 @ a2529 )
          & ( c3_1 @ a2529 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c1_1 @ a2556 )
          & ( c2_1 @ a2556 )
          & ( c3_1 @ a2556 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a2558 )
          & ( c1_1 @ a2558 )
          & ( c2_1 @ a2558 ) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & ( c0_1 @ a2597 )
          & ( c1_1 @ a2597 )
          & ( c3_1 @ a2597 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c1_1 @ V )
              | ~ ( c2_1 @ V )
              | ~ ( c3_1 @ V ) ) )
        | hskp0 )
      & ( ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ( c1_1 @ W )
              | ( c3_1 @ W ) ) )
        | ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ~ ( c2_1 @ X ) ) )
        | hskp1 )
      & ( ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c1_1 @ Y )
              | ( c3_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c3_1 @ Z )
              | ~ ( c1_1 @ Z ) ) )
        | ! [X1: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X1 )
              | ~ ( c1_1 @ X1 )
              | ~ ( c2_1 @ X1 ) ) ) )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c3_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X3 )
              | ~ ( c0_1 @ X3 )
              | ~ ( c2_1 @ X3 ) ) )
        | hskp2 )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c1_1 @ X4 )
              | ~ ( c2_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ~ ( c1_1 @ X5 )
              | ~ ( c2_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X6 )
              | ~ ( c0_1 @ X6 )
              | ~ ( c2_1 @ X6 ) ) ) )
      & ( ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c1_1 @ X7 )
              | ~ ( c2_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ~ ( c1_1 @ X8 )
              | ~ ( c2_1 @ X8 ) ) )
        | hskp3 )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ~ ( c2_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ~ ( c2_1 @ X10 )
              | ~ ( c3_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X11 )
              | ~ ( c0_1 @ X11 )
              | ~ ( c2_1 @ X11 ) ) ) )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ~ ( c2_1 @ X12 ) ) )
        | ! [X13: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X13 )
              | ~ ( c0_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X14 )
              | ~ ( c0_1 @ X14 )
              | ~ ( c2_1 @ X14 ) ) ) )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c2_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X16 )
              | ~ ( c0_1 @ X16 )
              | ~ ( c1_1 @ X16 ) ) )
        | hskp0 )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c1_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X18 )
              | ( c3_1 @ X18 )
              | ~ ( c0_1 @ X18 ) ) )
        | hskp4 )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c1_1 @ X19 )
              | ~ ( c3_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X20 )
              | ~ ( c1_1 @ X20 )
              | ~ ( c2_1 @ X20 ) ) )
        | hskp5 )
      & ( ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c1_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) )
        | hskp6
        | hskp7 )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c2_1 @ X22 )
              | ( c3_1 @ X22 ) ) )
        | ! [X23: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X23 )
              | ( c2_1 @ X23 )
              | ~ ( c0_1 @ X23 ) ) )
        | hskp8 )
      & ( ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c2_1 @ X24 )
              | ( c3_1 @ X24 ) ) )
        | ! [X25: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X25 )
              | ( c3_1 @ X25 )
              | ~ ( c1_1 @ X25 ) ) )
        | hskp9 )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c2_1 @ X26 )
              | ( c3_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X27 )
              | ( c3_1 @ X27 )
              | ~ ( c1_1 @ X27 ) ) )
        | hskp1 )
      & ( ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c2_1 @ X28 )
              | ~ ( c1_1 @ X28 ) ) )
        | ! [X29: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X29 )
              | ( c3_1 @ X29 )
              | ~ ( c1_1 @ X29 ) ) )
        | hskp10 )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ( c2_1 @ X30 )
              | ~ ( c1_1 @ X30 ) ) )
        | hskp28
        | hskp3 )
      & ( ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ( c2_1 @ X31 )
              | ~ ( c3_1 @ X31 ) ) )
        | ! [X32: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X32 )
              | ( c2_1 @ X32 )
              | ~ ( c3_1 @ X32 ) ) )
        | hskp11 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c2_1 @ X33 )
              | ~ ( c3_1 @ X33 ) ) )
        | ! [X34: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X34 )
              | ~ ( c0_1 @ X34 )
              | ~ ( c2_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X35 )
              | ~ ( c1_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) ) )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c2_1 @ X36 )
              | ~ ( c3_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X37 )
              | ~ ( c0_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) )
        | hskp0 )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ( c3_1 @ X38 )
              | ~ ( c1_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X39 )
              | ~ ( c0_1 @ X39 )
              | ~ ( c2_1 @ X39 ) ) )
        | hskp12 )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ( c3_1 @ X40 )
              | ~ ( c1_1 @ X40 ) ) )
        | hskp13
        | hskp4 )
      & ( ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ( c3_1 @ X41 )
              | ~ ( c2_1 @ X41 ) ) )
        | ! [X42: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X42 )
              | ( c3_1 @ X42 )
              | ~ ( c2_1 @ X42 ) ) )
        | ! [X43: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X43 )
              | ~ ( c0_1 @ X43 )
              | ~ ( c3_1 @ X43 ) ) ) )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ( c3_1 @ X44 )
              | ~ ( c2_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X45 )
              | ~ ( c0_1 @ X45 )
              | ~ ( c1_1 @ X45 ) ) )
        | hskp14 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ~ ( c1_1 @ X46 )
              | ~ ( c2_1 @ X46 ) ) )
        | ! [X47: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X47 )
              | ( c2_1 @ X47 )
              | ~ ( c0_1 @ X47 ) ) )
        | hskp13 )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ~ ( c1_1 @ X48 )
              | ~ ( c2_1 @ X48 ) ) )
        | ! [X49: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X49 )
              | ( c2_1 @ X49 )
              | ~ ( c3_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X50 )
              | ( c3_1 @ X50 )
              | ~ ( c0_1 @ X50 ) ) ) )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X51 )
              | ~ ( c1_1 @ X51 )
              | ~ ( c2_1 @ X51 ) ) )
        | hskp4
        | hskp15 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X52 )
              | ~ ( c1_1 @ X52 )
              | ~ ( c3_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X53 )
              | ~ ( c0_1 @ X53 )
              | ~ ( c2_1 @ X53 ) ) )
        | hskp16 )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X54 )
              | ~ ( c1_1 @ X54 )
              | ~ ( c3_1 @ X54 ) ) )
        | ! [X55: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X55 )
              | ( c3_1 @ X55 )
              | ~ ( c1_1 @ X55 ) ) )
        | hskp17 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X56 )
              | ~ ( c1_1 @ X56 )
              | ~ ( c3_1 @ X56 ) ) )
        | hskp15
        | hskp0 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X57 )
              | ~ ( c2_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | ! [X58: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X58 )
              | ~ ( c1_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | ! [X59: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X59 )
              | ~ ( c2_1 @ X59 )
              | ~ ( c3_1 @ X59 ) ) ) )
      & ( ! [X60: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X60 )
              | ~ ( c2_1 @ X60 )
              | ~ ( c3_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X61 )
              | ~ ( c1_1 @ X61 )
              | ~ ( c3_1 @ X61 ) ) )
        | hskp14 )
      & ( ! [X62: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X62 )
              | ~ ( c2_1 @ X62 )
              | ~ ( c3_1 @ X62 ) ) )
        | hskp18
        | hskp10 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X63 )
              | ( c2_1 @ X63 )
              | ( c3_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X64 )
              | ~ ( c1_1 @ X64 )
              | ~ ( c3_1 @ X64 ) ) )
        | hskp14 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ( c2_1 @ X65 )
              | ( c3_1 @ X65 ) ) )
        | hskp19
        | hskp20 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ( c2_1 @ X66 )
              | ~ ( c0_1 @ X66 ) ) )
        | ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ~ ( c2_1 @ X67 )
              | ~ ( c3_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X68 )
              | ~ ( c0_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) ) )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X69 )
              | ( c2_1 @ X69 )
              | ~ ( c0_1 @ X69 ) ) )
        | ! [X70: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X70 )
              | ( c3_1 @ X70 )
              | ~ ( c1_1 @ X70 ) ) )
        | hskp7 )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X71 )
              | ( c2_1 @ X71 )
              | ~ ( c0_1 @ X71 ) ) )
        | hskp21
        | hskp22 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ( c2_1 @ X72 )
              | ~ ( c0_1 @ X72 ) ) )
        | hskp23
        | hskp1 )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ( c2_1 @ X73 )
              | ~ ( c3_1 @ X73 ) ) )
        | ! [X74: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X74 )
              | ( c3_1 @ X74 )
              | ~ ( c0_1 @ X74 ) ) )
        | hskp24 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ( c2_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | ! [X76: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X76 )
              | ~ ( c0_1 @ X76 )
              | ~ ( c1_1 @ X76 ) ) )
        | ! [X77: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X77 )
              | ~ ( c2_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) ) )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X78 )
              | ( c2_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | ! [X79: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X79 )
              | ~ ( c1_1 @ X79 )
              | ~ ( c2_1 @ X79 ) ) )
        | hskp29 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X80 )
              | ( c3_1 @ X80 )
              | ~ ( c0_1 @ X80 ) ) )
        | ! [X81: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X81 )
              | ( c3_1 @ X81 )
              | ~ ( c0_1 @ X81 ) ) )
        | hskp2 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ( c3_1 @ X82 )
              | ~ ( c0_1 @ X82 ) ) )
        | hskp30
        | hskp22 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X83 )
              | ( c3_1 @ X83 )
              | ~ ( c0_1 @ X83 ) ) )
        | hskp29
        | hskp2 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X84 )
              | ( c3_1 @ X84 )
              | ~ ( c0_1 @ X84 ) ) )
        | hskp20
        | hskp14 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X85 )
              | ~ ( c0_1 @ X85 )
              | ~ ( c2_1 @ X85 ) ) )
        | hskp25
        | hskp3 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X86 )
              | ~ ( c0_1 @ X86 )
              | ~ ( c2_1 @ X86 ) ) )
        | hskp18
        | hskp0 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X87 )
              | ~ ( c0_1 @ X87 )
              | ~ ( c3_1 @ X87 ) ) )
        | ! [X88: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X88 )
              | ~ ( c0_1 @ X88 )
              | ~ ( c1_1 @ X88 ) ) )
        | hskp21 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X89 )
              | ~ ( c0_1 @ X89 )
              | ~ ( c3_1 @ X89 ) ) )
        | ! [X90: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X90 )
              | ~ ( c1_1 @ X90 )
              | ~ ( c2_1 @ X90 ) ) )
        | hskp4 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X91 )
              | ~ ( c0_1 @ X91 )
              | ~ ( c3_1 @ X91 ) ) )
        | ! [X92: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X92 )
              | ~ ( c1_1 @ X92 )
              | ~ ( c2_1 @ X92 ) ) )
        | hskp28 )
      & ( ! [X93: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X93 )
              | ~ ( c0_1 @ X93 )
              | ~ ( c3_1 @ X93 ) ) )
        | hskp5
        | hskp22 )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X94 )
              | ~ ( c2_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) )
        | ! [X95: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X95 )
              | ( c3_1 @ X95 )
              | ~ ( c0_1 @ X95 ) ) )
        | hskp24 )
      & ( ! [X96: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X96 )
              | ~ ( c2_1 @ X96 )
              | ~ ( c3_1 @ X96 ) ) )
        | hskp8
        | hskp7 )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X97 )
              | ( c3_1 @ X97 )
              | ~ ( c0_1 @ X97 ) ) )
        | ! [X98: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X98 )
              | ~ ( c0_1 @ X98 )
              | ~ ( c1_1 @ X98 ) ) )
        | hskp21 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X99 )
              | ( c3_1 @ X99 )
              | ~ ( c0_1 @ X99 ) ) )
        | ! [X100: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X100 )
              | ~ ( c1_1 @ X100 )
              | ~ ( c3_1 @ X100 ) ) )
        | hskp10 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X101 )
              | ( c3_1 @ X101 )
              | ~ ( c0_1 @ X101 ) ) )
        | hskp19
        | hskp16 )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X102 )
              | ( c3_1 @ X102 )
              | ~ ( c0_1 @ X102 ) ) )
        | hskp9
        | hskp4 )
      & ( ! [X103: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X103 )
              | ~ ( c0_1 @ X103 )
              | ~ ( c1_1 @ X103 ) ) )
        | hskp30
        | hskp9 )
      & ( ! [X104: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X104 )
              | ~ ( c0_1 @ X104 )
              | ~ ( c1_1 @ X104 ) ) )
        | hskp24
        | hskp25 )
      & ( ! [X105: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X105 )
              | ~ ( c1_1 @ X105 )
              | ~ ( c3_1 @ X105 ) ) )
        | ! [X106: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X106 )
              | ~ ( c2_1 @ X106 )
              | ~ ( c3_1 @ X106 ) ) )
        | hskp6 )
      & ( ! [X107: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X107 )
              | ~ ( c1_1 @ X107 )
              | ~ ( c3_1 @ X107 ) ) )
        | ! [X108: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X108 )
              | ~ ( c2_1 @ X108 )
              | ~ ( c3_1 @ X108 ) ) )
        | hskp18 )
      & ( ! [X109: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X109 )
              | ~ ( c0_1 @ X109 )
              | ~ ( c1_1 @ X109 ) ) )
        | hskp29
        | hskp10 )
      & ( ! [X110: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X110 )
              | ~ ( c0_1 @ X110 )
              | ~ ( c2_1 @ X110 ) ) )
        | hskp25
        | hskp20 )
      & ( ! [X111: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X111 )
              | ~ ( c1_1 @ X111 )
              | ~ ( c2_1 @ X111 ) ) )
        | hskp28
        | hskp1 )
      & ( ! [X112: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X112 )
              | ~ ( c1_1 @ X112 )
              | ~ ( c2_1 @ X112 ) ) )
        | ! [X113: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X113 )
              | ~ ( c2_1 @ X113 )
              | ~ ( c3_1 @ X113 ) ) )
        | hskp3 )
      & ( ! [X114: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X114 )
              | ~ ( c2_1 @ X114 )
              | ~ ( c3_1 @ X114 ) ) )
        | hskp6
        | hskp20 )
      & ( ! [X115: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X115 )
              | ~ ( c2_1 @ X115 )
              | ~ ( c3_1 @ X115 ) ) )
        | hskp31
        | hskp23 )
      & ( hskp30
        | hskp21
        | hskp26 )
      & ( hskp21
        | hskp18
        | hskp1 )
      & ( hskp21
        | hskp2
        | hskp20 )
      & ( hskp6
        | hskp19
        | hskp16 )
      & ( hskp24
        | hskp0 )
      & ( hskp23
        | hskp27 )
      & ( hskp7
        | hskp13
        | hskp12 )
      & ( hskp2
        | hskp27
        | hskp3 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ ( c0_1 @ a2516 )
        & ~ ( c1_1 @ a2516 )
        & ~ ( c2_1 @ a2516 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c2_1 @ a2517 )
        & ~ ( c0_1 @ a2517 )
        & ~ ( c3_1 @ a2517 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c1_1 @ a2518 )
        & ~ ( c0_1 @ a2518 )
        & ~ ( c3_1 @ a2518 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ ( c0_1 @ a2519 )
        & ~ ( c2_1 @ a2519 )
        & ~ ( c3_1 @ a2519 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c2_1 @ a2521 )
        & ( c3_1 @ a2521 )
        & ~ ( c1_1 @ a2521 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c2_1 @ a2522 )
        & ( c3_1 @ a2522 )
        & ~ ( c0_1 @ a2522 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c0_1 @ a2523 )
        & ( c1_1 @ a2523 )
        & ~ ( c3_1 @ a2523 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c1_1 @ a2524 )
        & ( c3_1 @ a2524 )
        & ~ ( c2_1 @ a2524 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c0_1 @ a2525 )
        & ( c2_1 @ a2525 )
        & ~ ( c3_1 @ a2525 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c1_1 @ a2526 )
        & ( c3_1 @ a2526 )
        & ~ ( c0_1 @ a2526 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c3_1 @ a2528 )
        & ~ ( c0_1 @ a2528 )
        & ~ ( c1_1 @ a2528 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c1_1 @ a2531 )
        & ( c2_1 @ a2531 )
        & ~ ( c3_1 @ a2531 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ ( c1_1 @ a2533 )
        & ~ ( c2_1 @ a2533 )
        & ~ ( c3_1 @ a2533 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c1_1 @ a2534 )
        & ~ ( c0_1 @ a2534 )
        & ~ ( c2_1 @ a2534 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ ( c0_1 @ a2536 )
        & ~ ( c1_1 @ a2536 )
        & ~ ( c3_1 @ a2536 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c3_1 @ a2539 )
        & ~ ( c0_1 @ a2539 )
        & ~ ( c2_1 @ a2539 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c0_1 @ a2540 )
        & ~ ( c2_1 @ a2540 )
        & ~ ( c3_1 @ a2540 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c3_1 @ a2541 )
        & ~ ( c1_1 @ a2541 )
        & ~ ( c2_1 @ a2541 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c1_1 @ a2545 )
        & ( c2_1 @ a2545 )
        & ~ ( c0_1 @ a2545 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c0_1 @ a2548 )
        & ( c3_1 @ a2548 )
        & ~ ( c1_1 @ a2548 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c2_1 @ a2549 )
        & ~ ( c0_1 @ a2549 )
        & ~ ( c1_1 @ a2549 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c0_1 @ a2551 )
        & ( c1_1 @ a2551 )
        & ~ ( c2_1 @ a2551 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c2_1 @ a2552 )
        & ~ ( c1_1 @ a2552 )
        & ~ ( c3_1 @ a2552 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c0_1 @ a2553 )
        & ~ ( c1_1 @ a2553 )
        & ~ ( c3_1 @ a2553 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c0_1 @ a2555 )
        & ( c2_1 @ a2555 )
        & ~ ( c1_1 @ a2555 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c0_1 @ a2564 )
        & ~ ( c1_1 @ a2564 )
        & ~ ( c2_1 @ a2564 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a2601 )
        & ( c3_1 @ a2601 )
        & ~ ( c2_1 @ a2601 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c1_1 @ a2614 )
        & ~ ( c2_1 @ a2614 )
        & ~ ( c3_1 @ a2614 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a2529 )
        & ( c2_1 @ a2529 )
        & ( c3_1 @ a2529 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c1_1 @ a2556 )
        & ( c2_1 @ a2556 )
        & ( c3_1 @ a2556 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a2558 )
        & ( c1_1 @ a2558 )
        & ( c2_1 @ a2558 ) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ( c0_1 @ a2597 )
        & ( c1_1 @ a2597 )
        & ( c3_1 @ a2597 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c1_1 @ V )
            | ~ ( c2_1 @ V )
            | ~ ( c3_1 @ V ) ) )
      | hskp0 )
    & ( ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ( c1_1 @ W )
            | ( c3_1 @ W ) ) )
      | ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ~ ( c2_1 @ X ) ) )
      | hskp1 )
    & ( ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c1_1 @ Y )
            | ( c3_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c3_1 @ Z )
            | ~ ( c1_1 @ Z ) ) )
      | ! [X1: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X1 )
            | ~ ( c1_1 @ X1 )
            | ~ ( c2_1 @ X1 ) ) ) )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c3_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X3 )
            | ~ ( c0_1 @ X3 )
            | ~ ( c2_1 @ X3 ) ) )
      | hskp2 )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c1_1 @ X4 )
            | ~ ( c2_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ~ ( c1_1 @ X5 )
            | ~ ( c2_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X6 )
            | ~ ( c0_1 @ X6 )
            | ~ ( c2_1 @ X6 ) ) ) )
    & ( ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c1_1 @ X7 )
            | ~ ( c2_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ~ ( c1_1 @ X8 )
            | ~ ( c2_1 @ X8 ) ) )
      | hskp3 )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ~ ( c2_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ~ ( c2_1 @ X10 )
            | ~ ( c3_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X11 )
            | ~ ( c0_1 @ X11 )
            | ~ ( c2_1 @ X11 ) ) ) )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ~ ( c2_1 @ X12 ) ) )
      | ! [X13: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X13 )
            | ~ ( c0_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X14 )
            | ~ ( c0_1 @ X14 )
            | ~ ( c2_1 @ X14 ) ) ) )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c2_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X16 )
            | ~ ( c0_1 @ X16 )
            | ~ ( c1_1 @ X16 ) ) )
      | hskp0 )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c1_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X18 )
            | ( c3_1 @ X18 )
            | ~ ( c0_1 @ X18 ) ) )
      | hskp4 )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c1_1 @ X19 )
            | ~ ( c3_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X20 )
            | ~ ( c1_1 @ X20 )
            | ~ ( c2_1 @ X20 ) ) )
      | hskp5 )
    & ( ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c1_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) )
      | hskp6
      | hskp7 )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c2_1 @ X22 )
            | ( c3_1 @ X22 ) ) )
      | ! [X23: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X23 )
            | ( c2_1 @ X23 )
            | ~ ( c0_1 @ X23 ) ) )
      | hskp8 )
    & ( ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c2_1 @ X24 )
            | ( c3_1 @ X24 ) ) )
      | ! [X25: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X25 )
            | ( c3_1 @ X25 )
            | ~ ( c1_1 @ X25 ) ) )
      | hskp9 )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c2_1 @ X26 )
            | ( c3_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X27 )
            | ( c3_1 @ X27 )
            | ~ ( c1_1 @ X27 ) ) )
      | hskp1 )
    & ( ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c2_1 @ X28 )
            | ~ ( c1_1 @ X28 ) ) )
      | ! [X29: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X29 )
            | ( c3_1 @ X29 )
            | ~ ( c1_1 @ X29 ) ) )
      | hskp10 )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ( c2_1 @ X30 )
            | ~ ( c1_1 @ X30 ) ) )
      | hskp28
      | hskp3 )
    & ( ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ( c2_1 @ X31 )
            | ~ ( c3_1 @ X31 ) ) )
      | ! [X32: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X32 )
            | ( c2_1 @ X32 )
            | ~ ( c3_1 @ X32 ) ) )
      | hskp11 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c2_1 @ X33 )
            | ~ ( c3_1 @ X33 ) ) )
      | ! [X34: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X34 )
            | ~ ( c0_1 @ X34 )
            | ~ ( c2_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X35 )
            | ~ ( c1_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) ) )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c2_1 @ X36 )
            | ~ ( c3_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X37 )
            | ~ ( c0_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) )
      | hskp0 )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ( c3_1 @ X38 )
            | ~ ( c1_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X39 )
            | ~ ( c0_1 @ X39 )
            | ~ ( c2_1 @ X39 ) ) )
      | hskp12 )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ( c3_1 @ X40 )
            | ~ ( c1_1 @ X40 ) ) )
      | hskp13
      | hskp4 )
    & ( ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ( c3_1 @ X41 )
            | ~ ( c2_1 @ X41 ) ) )
      | ! [X42: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X42 )
            | ( c3_1 @ X42 )
            | ~ ( c2_1 @ X42 ) ) )
      | ! [X43: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X43 )
            | ~ ( c0_1 @ X43 )
            | ~ ( c3_1 @ X43 ) ) ) )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ( c3_1 @ X44 )
            | ~ ( c2_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X45 )
            | ~ ( c0_1 @ X45 )
            | ~ ( c1_1 @ X45 ) ) )
      | hskp14 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ~ ( c1_1 @ X46 )
            | ~ ( c2_1 @ X46 ) ) )
      | ! [X47: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X47 )
            | ( c2_1 @ X47 )
            | ~ ( c0_1 @ X47 ) ) )
      | hskp13 )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ~ ( c1_1 @ X48 )
            | ~ ( c2_1 @ X48 ) ) )
      | ! [X49: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X49 )
            | ( c2_1 @ X49 )
            | ~ ( c3_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X50 )
            | ( c3_1 @ X50 )
            | ~ ( c0_1 @ X50 ) ) ) )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X51 )
            | ~ ( c1_1 @ X51 )
            | ~ ( c2_1 @ X51 ) ) )
      | hskp4
      | hskp15 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X52 )
            | ~ ( c1_1 @ X52 )
            | ~ ( c3_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X53 )
            | ~ ( c0_1 @ X53 )
            | ~ ( c2_1 @ X53 ) ) )
      | hskp16 )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X54 )
            | ~ ( c1_1 @ X54 )
            | ~ ( c3_1 @ X54 ) ) )
      | ! [X55: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X55 )
            | ( c3_1 @ X55 )
            | ~ ( c1_1 @ X55 ) ) )
      | hskp17 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X56 )
            | ~ ( c1_1 @ X56 )
            | ~ ( c3_1 @ X56 ) ) )
      | hskp15
      | hskp0 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X57 )
            | ~ ( c2_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | ! [X58: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X58 )
            | ~ ( c1_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | ! [X59: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X59 )
            | ~ ( c2_1 @ X59 )
            | ~ ( c3_1 @ X59 ) ) ) )
    & ( ! [X60: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X60 )
            | ~ ( c2_1 @ X60 )
            | ~ ( c3_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X61 )
            | ~ ( c1_1 @ X61 )
            | ~ ( c3_1 @ X61 ) ) )
      | hskp14 )
    & ( ! [X62: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X62 )
            | ~ ( c2_1 @ X62 )
            | ~ ( c3_1 @ X62 ) ) )
      | hskp18
      | hskp10 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X63 )
            | ( c2_1 @ X63 )
            | ( c3_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X64 )
            | ~ ( c1_1 @ X64 )
            | ~ ( c3_1 @ X64 ) ) )
      | hskp14 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ( c2_1 @ X65 )
            | ( c3_1 @ X65 ) ) )
      | hskp19
      | hskp20 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ( c2_1 @ X66 )
            | ~ ( c0_1 @ X66 ) ) )
      | ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ~ ( c2_1 @ X67 )
            | ~ ( c3_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X68 )
            | ~ ( c0_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) ) )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X69 )
            | ( c2_1 @ X69 )
            | ~ ( c0_1 @ X69 ) ) )
      | ! [X70: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X70 )
            | ( c3_1 @ X70 )
            | ~ ( c1_1 @ X70 ) ) )
      | hskp7 )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X71 )
            | ( c2_1 @ X71 )
            | ~ ( c0_1 @ X71 ) ) )
      | hskp21
      | hskp22 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ( c2_1 @ X72 )
            | ~ ( c0_1 @ X72 ) ) )
      | hskp23
      | hskp1 )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ( c2_1 @ X73 )
            | ~ ( c3_1 @ X73 ) ) )
      | ! [X74: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X74 )
            | ( c3_1 @ X74 )
            | ~ ( c0_1 @ X74 ) ) )
      | hskp24 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ( c2_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | ! [X76: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X76 )
            | ~ ( c0_1 @ X76 )
            | ~ ( c1_1 @ X76 ) ) )
      | ! [X77: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X77 )
            | ~ ( c2_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) ) )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X78 )
            | ( c2_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | ! [X79: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X79 )
            | ~ ( c1_1 @ X79 )
            | ~ ( c2_1 @ X79 ) ) )
      | hskp29 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X80 )
            | ( c3_1 @ X80 )
            | ~ ( c0_1 @ X80 ) ) )
      | ! [X81: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X81 )
            | ( c3_1 @ X81 )
            | ~ ( c0_1 @ X81 ) ) )
      | hskp2 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ( c3_1 @ X82 )
            | ~ ( c0_1 @ X82 ) ) )
      | hskp30
      | hskp22 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X83 )
            | ( c3_1 @ X83 )
            | ~ ( c0_1 @ X83 ) ) )
      | hskp29
      | hskp2 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X84 )
            | ( c3_1 @ X84 )
            | ~ ( c0_1 @ X84 ) ) )
      | hskp20
      | hskp14 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X85 )
            | ~ ( c0_1 @ X85 )
            | ~ ( c2_1 @ X85 ) ) )
      | hskp25
      | hskp3 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X86 )
            | ~ ( c0_1 @ X86 )
            | ~ ( c2_1 @ X86 ) ) )
      | hskp18
      | hskp0 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X87 )
            | ~ ( c0_1 @ X87 )
            | ~ ( c3_1 @ X87 ) ) )
      | ! [X88: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X88 )
            | ~ ( c0_1 @ X88 )
            | ~ ( c1_1 @ X88 ) ) )
      | hskp21 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X89 )
            | ~ ( c0_1 @ X89 )
            | ~ ( c3_1 @ X89 ) ) )
      | ! [X90: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X90 )
            | ~ ( c1_1 @ X90 )
            | ~ ( c2_1 @ X90 ) ) )
      | hskp4 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X91 )
            | ~ ( c0_1 @ X91 )
            | ~ ( c3_1 @ X91 ) ) )
      | ! [X92: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X92 )
            | ~ ( c1_1 @ X92 )
            | ~ ( c2_1 @ X92 ) ) )
      | hskp28 )
    & ( ! [X93: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X93 )
            | ~ ( c0_1 @ X93 )
            | ~ ( c3_1 @ X93 ) ) )
      | hskp5
      | hskp22 )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X94 )
            | ~ ( c2_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) )
      | ! [X95: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X95 )
            | ( c3_1 @ X95 )
            | ~ ( c0_1 @ X95 ) ) )
      | hskp24 )
    & ( ! [X96: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X96 )
            | ~ ( c2_1 @ X96 )
            | ~ ( c3_1 @ X96 ) ) )
      | hskp8
      | hskp7 )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X97 )
            | ( c3_1 @ X97 )
            | ~ ( c0_1 @ X97 ) ) )
      | ! [X98: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X98 )
            | ~ ( c0_1 @ X98 )
            | ~ ( c1_1 @ X98 ) ) )
      | hskp21 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X99 )
            | ( c3_1 @ X99 )
            | ~ ( c0_1 @ X99 ) ) )
      | ! [X100: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X100 )
            | ~ ( c1_1 @ X100 )
            | ~ ( c3_1 @ X100 ) ) )
      | hskp10 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X101 )
            | ( c3_1 @ X101 )
            | ~ ( c0_1 @ X101 ) ) )
      | hskp19
      | hskp16 )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X102 )
            | ( c3_1 @ X102 )
            | ~ ( c0_1 @ X102 ) ) )
      | hskp9
      | hskp4 )
    & ( ! [X103: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X103 )
            | ~ ( c0_1 @ X103 )
            | ~ ( c1_1 @ X103 ) ) )
      | hskp30
      | hskp9 )
    & ( ! [X104: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X104 )
            | ~ ( c0_1 @ X104 )
            | ~ ( c1_1 @ X104 ) ) )
      | hskp24
      | hskp25 )
    & ( ! [X105: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X105 )
            | ~ ( c1_1 @ X105 )
            | ~ ( c3_1 @ X105 ) ) )
      | ! [X106: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X106 )
            | ~ ( c2_1 @ X106 )
            | ~ ( c3_1 @ X106 ) ) )
      | hskp6 )
    & ( ! [X107: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X107 )
            | ~ ( c1_1 @ X107 )
            | ~ ( c3_1 @ X107 ) ) )
      | ! [X108: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X108 )
            | ~ ( c2_1 @ X108 )
            | ~ ( c3_1 @ X108 ) ) )
      | hskp18 )
    & ( ! [X109: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X109 )
            | ~ ( c0_1 @ X109 )
            | ~ ( c1_1 @ X109 ) ) )
      | hskp29
      | hskp10 )
    & ( ! [X110: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X110 )
            | ~ ( c0_1 @ X110 )
            | ~ ( c2_1 @ X110 ) ) )
      | hskp25
      | hskp20 )
    & ( ! [X111: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X111 )
            | ~ ( c1_1 @ X111 )
            | ~ ( c2_1 @ X111 ) ) )
      | hskp28
      | hskp1 )
    & ( ! [X112: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X112 )
            | ~ ( c1_1 @ X112 )
            | ~ ( c2_1 @ X112 ) ) )
      | ! [X113: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X113 )
            | ~ ( c2_1 @ X113 )
            | ~ ( c3_1 @ X113 ) ) )
      | hskp3 )
    & ( ! [X114: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X114 )
            | ~ ( c2_1 @ X114 )
            | ~ ( c3_1 @ X114 ) ) )
      | hskp6
      | hskp20 )
    & ( ! [X115: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X115 )
            | ~ ( c2_1 @ X115 )
            | ~ ( c3_1 @ X115 ) ) )
      | hskp31
      | hskp23 )
    & ( hskp30
      | hskp21
      | hskp26 )
    & ( hskp21
      | hskp18
      | hskp1 )
    & ( hskp21
      | hskp2
      | hskp20 )
    & ( hskp6
      | hskp19
      | hskp16 )
    & ( hskp24
      | hskp0 )
    & ( hskp23
      | hskp27 )
    & ( hskp7
      | hskp13
      | hskp12 )
    & ( hskp2
      | hskp27
      | hskp3 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp7
    | ( c3_1 @ a2524 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl694,plain,
    ( ( c3_1 @ a2524 )
   <= ( c3_1 @ a2524 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl40,plain,
    ! [X47: $i,X48: $i,X49: $i] :
      ( ( c1_1 @ X47 )
      | ( c2_1 @ X47 )
      | ~ ( c0_1 @ X47 )
      | ~ ndr1_0
      | ( c1_1 @ X48 )
      | ~ ( c2_1 @ X48 )
      | ~ ( c3_1 @ X48 )
      | ~ ndr1_0
      | ( c2_1 @ X49 )
      | ~ ( c0_1 @ X49 )
      | ~ ( c3_1 @ X49 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl355,plain,
    ( ! [X49: $i] :
        ( ( c2_1 @ X49 )
        | ~ ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c2_1 @ X49 )
        | ~ ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1954,plain,
    ( ( ( c2_1 @ a2524 )
      | ~ ( c0_1 @ a2524 ) )
   <= ( ! [X49: $i] :
          ( ( c2_1 @ X49 )
          | ~ ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 ) )
      & ( c3_1 @ a2524 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl694,zip_derived_cl355]) ).

thf('0',plain,
    ( ~ ( c0_1 @ a2524 )
    | ~ ! [X49: $i] :
          ( ( c2_1 @ X49 )
          | ~ ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 ) )
    | ( c2_1 @ a2524 )
    | ~ ( c3_1 @ a2524 ) ),
    inference(split,[status(esa)],[zip_derived_cl1954]) ).

thf(zip_derived_cl694_001,plain,
    ( ( c3_1 @ a2524 )
   <= ( c3_1 @ a2524 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl56,plain,
    ! [X78: $i,X79: $i] :
      ( ( c0_1 @ X78 )
      | ( c2_1 @ X78 )
      | ~ ( c3_1 @ X78 )
      | ~ ndr1_0
      | ( c2_1 @ X79 )
      | ~ ( c0_1 @ X79 )
      | ~ ( c3_1 @ X79 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl419,plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl2243,plain,
    ( ( ( c0_1 @ a2524 )
      | ( c2_1 @ a2524 ) )
   <= ( ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) )
      & ( c3_1 @ a2524 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl694,zip_derived_cl419]) ).

thf('1',plain,
    ( ( c0_1 @ a2524 )
    | ~ ( c3_1 @ a2524 )
    | ~ ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) )
    | ( c2_1 @ a2524 ) ),
    inference(split,[status(esa)],[zip_derived_cl2243]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp31
    | ( c3_1 @ a2597 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( ( c3_1 @ a2597 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp31
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( hskp31
    | hskp23
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp31
    | ( c0_1 @ a2597 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( ( c0_1 @ a2597 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp31
    | ( c1_1 @ a2597 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( ( c1_1 @ a2597 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl504,plain,
    ( ( c3_1 @ a2597 )
   <= ( c3_1 @ a2597 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl20,plain,
    ! [X15: $i,X16: $i] :
      ( ( c2_1 @ X15 )
      | ( c3_1 @ X15 )
      | ~ ( c0_1 @ X15 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X16 )
      | ~ ( c1_1 @ X16 )
      | ~ ( c3_1 @ X16 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl275,plain,
    ( ! [X16: $i] :
        ( ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 )
        | ~ ( c3_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1411,plain,
    ( ( ~ ( c0_1 @ a2597 )
      | ~ ( c1_1 @ a2597 ) )
   <= ( ! [X16: $i] :
          ( ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
      & ( c3_1 @ a2597 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl504,zip_derived_cl275]) ).

thf('6',plain,
    ( ~ ! [X16: $i] :
          ( ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
    | ~ ( c0_1 @ a2597 )
    | ~ ( c3_1 @ a2597 )
    | ~ ( c1_1 @ a2597 ) ),
    inference(split,[status(esa)],[zip_derived_cl1411]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp26
    | ( c3_1 @ a2601 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl542,plain,
    ( ( c3_1 @ a2601 )
   <= ( c3_1 @ a2601 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl14,plain,
    ! [X7: $i,X8: $i] :
      ( ( c2_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ( c3_1 @ X7 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X8 )
      | ~ ( c2_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl251,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1609,plain,
    ( ( ( c2_1 @ a2601 )
      | ~ ( c1_1 @ a2601 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c3_1 @ a2601 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl251]) ).

thf('7',plain,
    ( ( c2_1 @ a2601 )
    | ~ ( c3_1 @ a2601 )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c1_1 @ a2601 ) ),
    inference(split,[status(esa)],[zip_derived_cl1609]) ).

thf(zip_derived_cl694_002,plain,
    ( ( c3_1 @ a2524 )
   <= ( c3_1 @ a2524 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl251_003,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1949,plain,
    ( ( ( c2_1 @ a2524 )
      | ~ ( c1_1 @ a2524 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c3_1 @ a2524 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl694,zip_derived_cl251]) ).

thf('8',plain,
    ( ~ ( c3_1 @ a2524 )
    | ( c2_1 @ a2524 )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c1_1 @ a2524 ) ),
    inference(split,[status(esa)],[zip_derived_cl1949]) ).

thf(zip_derived_cl30,plain,
    ! [X31: $i] :
      ( ( c1_1 @ X31 )
      | ( c3_1 @ X31 )
      | ~ ( c0_1 @ X31 )
      | ~ ndr1_0
      | hskp20
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl314,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp16
    | ~ ( c3_1 @ a2540 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl624,plain,
    ( ~ ( c3_1 @ a2540 )
   <= ~ ( c3_1 @ a2540 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl1271,plain,
    ( ( ~ ( c0_1 @ a2540 )
      | ( c1_1 @ a2540 ) )
   <= ( ~ ( c3_1 @ a2540 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c0_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl624]) ).

thf('9',plain,
    ( ( c1_1 @ a2540 )
    | ( c3_1 @ a2540 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
    | ~ ( c0_1 @ a2540 ) ),
    inference(split,[status(esa)],[zip_derived_cl1271]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp10
    | ( c3_1 @ a2528 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl668,plain,
    ( ( c3_1 @ a2528 )
   <= ( c3_1 @ a2528 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl419_004,plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl2245,plain,
    ( ( ( c0_1 @ a2528 )
      | ( c2_1 @ a2528 ) )
   <= ( ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) )
      & ( c3_1 @ a2528 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl419]) ).

thf('10',plain,
    ( ( c2_1 @ a2528 )
    | ( c0_1 @ a2528 )
    | ~ ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) )
    | ~ ( c3_1 @ a2528 ) ),
    inference(split,[status(esa)],[zip_derived_cl2245]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp7
    | ( c1_1 @ a2524 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( ( c1_1 @ a2524 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf('12',plain,
    ( ( c3_1 @ a2524 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp7
    | ~ ( c2_1 @ a2524 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( ~ ( c2_1 @ a2524 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf('14',plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
    | ! [X49: $i] :
        ( ( c2_1 @ X49 )
        | ~ ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 ) )
    | ~ ndr1_0
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl39,plain,
    ! [X45: $i,X46: $i] :
      ( ( c1_1 @ X45 )
      | ( c2_1 @ X45 )
      | ~ ( c0_1 @ X45 )
      | ~ ndr1_0
      | ( c2_1 @ X46 )
      | ( c3_1 @ X46 )
      | ~ ( c1_1 @ X46 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('15',plain,
    ( hskp7
    | ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
    | ~ ndr1_0
    | ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp19
    | ( c3_1 @ a2548 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl598,plain,
    ( ( c3_1 @ a2548 )
   <= ( c3_1 @ a2548 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl355_005,plain,
    ( ! [X49: $i] :
        ( ( c2_1 @ X49 )
        | ~ ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c2_1 @ X49 )
        | ~ ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1882,plain,
    ( ( ( c2_1 @ a2548 )
      | ~ ( c0_1 @ a2548 ) )
   <= ( ! [X49: $i] :
          ( ( c2_1 @ X49 )
          | ~ ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 ) )
      & ( c3_1 @ a2548 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl355]) ).

thf('16',plain,
    ( ~ ! [X49: $i] :
          ( ( c2_1 @ X49 )
          | ~ ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 ) )
    | ( c2_1 @ a2548 )
    | ~ ( c0_1 @ a2548 )
    | ~ ( c3_1 @ a2548 ) ),
    inference(split,[status(esa)],[zip_derived_cl1882]) ).

thf(zip_derived_cl598_006,plain,
    ( ( c3_1 @ a2548 )
   <= ( c3_1 @ a2548 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl226,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_cl8]) ).

thf(zip_derived_cl1721,plain,
    ( ( ~ ( c1_1 @ a2548 )
      | ~ ( c2_1 @ a2548 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a2548 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl226]) ).

thf(zip_derived_cl2938,plain,
    ( ~ ( c2_1 @ a2548 )
   <= ~ ( c2_1 @ a2548 ) ),
    inference(split,[status(esa)],[zip_derived_cl1721]) ).

thf(zip_derived_cl37,plain,
    ! [X43: $i] :
      ( ( c1_1 @ X43 )
      | ( c2_1 @ X43 )
      | ~ ( c0_1 @ X43 )
      | ~ ndr1_0
      | hskp23
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl342,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_cl37]) ).

thf(zip_derived_cl2943,plain,
    ( ( ( c1_1 @ a2548 )
      | ~ ( c0_1 @ a2548 ) )
   <= ( ~ ( c2_1 @ a2548 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2938,zip_derived_cl342]) ).

thf('17',plain,
    ( ( c2_1 @ a2548 )
    | ( c1_1 @ a2548 )
    | ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) )
    | ~ ( c0_1 @ a2548 ) ),
    inference(split,[status(esa)],[zip_derived_cl2943]) ).

thf(zip_derived_cl598_007,plain,
    ( ( c3_1 @ a2548 )
   <= ( c3_1 @ a2548 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl251_008,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1723,plain,
    ( ( ( c2_1 @ a2548 )
      | ~ ( c1_1 @ a2548 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c3_1 @ a2548 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl251]) ).

thf(zip_derived_cl6221,plain,
    ( ( c2_1 @ a2548 )
   <= ( c2_1 @ a2548 ) ),
    inference(split,[status(esa)],[zip_derived_cl1723]) ).

thf(zip_derived_cl28,plain,
    ! [X29: $i] :
      ( ( c1_1 @ X29 )
      | ~ ( c0_1 @ X29 )
      | ~ ( c2_1 @ X29 )
      | ~ ndr1_0
      | hskp18
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl306,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl6246,plain,
    ( ( ( c1_1 @ a2548 )
      | ~ ( c0_1 @ a2548 ) )
   <= ( ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
      & ( c2_1 @ a2548 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6221,zip_derived_cl306]) ).

thf('18',plain,
    ( ~ ( c2_1 @ a2548 )
    | ~ ( c0_1 @ a2548 )
    | ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ( c1_1 @ a2548 ) ),
    inference(split,[status(esa)],[zip_derived_cl6246]) ).

thf(zip_derived_cl624_009,plain,
    ( ~ ( c3_1 @ a2540 )
   <= ~ ( c3_1 @ a2540 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl18,plain,
    ! [X13: $i] :
      ( ( c2_1 @ X13 )
      | ( c3_1 @ X13 )
      | ~ ( c0_1 @ X13 )
      | ~ ndr1_0
      | hskp9
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl266,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl926,plain,
    ( ( ( c2_1 @ a2540 )
      | ~ ( c0_1 @ a2540 ) )
   <= ( ~ ( c3_1 @ a2540 )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl624,zip_derived_cl266]) ).

thf('19',plain,
    ( ( c2_1 @ a2540 )
    | ( c3_1 @ a2540 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) )
    | ~ ( c0_1 @ a2540 ) ),
    inference(split,[status(esa)],[zip_derived_cl926]) ).

thf(zip_derived_cl36,plain,
    ! [X41: $i,X42: $i] :
      ( ( c1_1 @ X41 )
      | ( c2_1 @ X41 )
      | ~ ( c3_1 @ X41 )
      | ~ ndr1_0
      | ( c2_1 @ X42 )
      | ( c3_1 @ X42 )
      | ~ ( c0_1 @ X42 )
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('20',plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) )
    | hskp24
    | ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl72,plain,
    ! [X112: $i,X113: $i] :
      ( ( c0_1 @ X112 )
      | ( c1_1 @ X112 )
      | ( c3_1 @ X112 )
      | ~ ndr1_0
      | ( c1_1 @ X113 )
      | ~ ( c0_1 @ X113 )
      | ~ ( c2_1 @ X113 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl483,plain,
    ( ! [X112: $i] :
        ( ( c0_1 @ X112 )
        | ( c1_1 @ X112 )
        | ( c3_1 @ X112 ) )
   <= ! [X112: $i] :
        ( ( c0_1 @ X112 )
        | ( c1_1 @ X112 )
        | ( c3_1 @ X112 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl199,plain,
    ( ~ hskp1
    | ~ ( c3_1 @ a2517 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl744,plain,
    ( ~ ( c3_1 @ a2517 )
   <= ~ ( c3_1 @ a2517 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl2545,plain,
    ( ( ( c1_1 @ a2517 )
      | ( c0_1 @ a2517 ) )
   <= ( ~ ( c3_1 @ a2517 )
      & ! [X112: $i] :
          ( ( c0_1 @ X112 )
          | ( c1_1 @ X112 )
          | ( c3_1 @ X112 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl483,zip_derived_cl744]) ).

thf('21',plain,
    ( ~ ! [X112: $i] :
          ( ( c0_1 @ X112 )
          | ( c1_1 @ X112 )
          | ( c3_1 @ X112 ) )
    | ( c1_1 @ a2517 )
    | ( c3_1 @ a2517 )
    | ( c0_1 @ a2517 ) ),
    inference(split,[status(esa)],[zip_derived_cl2545]) ).

thf(zip_derived_cl197,plain,
    ( ~ hskp1
    | ( c2_1 @ a2517 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl740,plain,
    ( ( c2_1 @ a2517 )
   <= ( c2_1 @ a2517 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl49,plain,
    ! [X64: $i] :
      ( ( c0_1 @ X64 )
      | ~ ( c1_1 @ X64 )
      | ~ ( c2_1 @ X64 )
      | ~ ndr1_0
      | hskp4
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl390,plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ~ ( c1_1 @ X64 )
        | ~ ( c2_1 @ X64 ) )
   <= ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ~ ( c1_1 @ X64 )
        | ~ ( c2_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl2169,plain,
    ( ( ( c0_1 @ a2517 )
      | ~ ( c1_1 @ a2517 ) )
   <= ( ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ~ ( c1_1 @ X64 )
          | ~ ( c2_1 @ X64 ) )
      & ( c2_1 @ a2517 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl740,zip_derived_cl390]) ).

thf('22',plain,
    ( ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ~ ( c1_1 @ X64 )
          | ~ ( c2_1 @ X64 ) )
    | ~ ( c1_1 @ a2517 )
    | ( c0_1 @ a2517 )
    | ~ ( c2_1 @ a2517 ) ),
    inference(split,[status(esa)],[zip_derived_cl2169]) ).

thf(zip_derived_cl13,plain,
    ! [X6: $i] :
      ( ( c3_1 @ X6 )
      | ~ ( c0_1 @ X6 )
      | ~ ( c1_1 @ X6 )
      | ~ ndr1_0
      | hskp29
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl246,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl251_010,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl813,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl246,zip_derived_cl251]) ).

thf(zip_derived_cl815,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl813]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp21
    | ~ ( c2_1 @ a2551 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl584,plain,
    ( ~ ( c2_1 @ a2551 )
   <= ~ ( c2_1 @ a2551 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl900,plain,
    ( ( ~ ( c1_1 @ a2551 )
      | ~ ( c0_1 @ a2551 ) )
   <= ( ~ ( c2_1 @ a2551 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl815,zip_derived_cl584]) ).

thf('23',plain,
    ( ( c2_1 @ a2551 )
    | ~ ( c1_1 @ a2551 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c0_1 @ a2551 ) ),
    inference(split,[status(esa)],[zip_derived_cl900]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp5
    | ( c3_1 @ a2522 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl710,plain,
    ( ( c3_1 @ a2522 )
   <= ( c3_1 @ a2522 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl46,plain,
    ! [X59: $i] :
      ( ( c0_1 @ X59 )
      | ~ ( c1_1 @ X59 )
      | ~ ( c3_1 @ X59 )
      | ~ ndr1_0
      | hskp15
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl378,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl2145,plain,
    ( ( ( c0_1 @ a2522 )
      | ~ ( c1_1 @ a2522 ) )
   <= ( ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
      & ( c3_1 @ a2522 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl710,zip_derived_cl378]) ).

thf('24',plain,
    ( ~ ( c1_1 @ a2522 )
    | ( c0_1 @ a2522 )
    | ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
    | ~ ( c3_1 @ a2522 ) ),
    inference(split,[status(esa)],[zip_derived_cl2145]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp29
    | ( c3_1 @ a2556 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl520,plain,
    ( ( c3_1 @ a2556 )
   <= ( c3_1 @ a2556 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl9,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp6
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl230,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1488,plain,
    ( ( ~ ( c0_1 @ a2556 )
      | ~ ( c2_1 @ a2556 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a2556 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl230]) ).

thf('25',plain,
    ( ~ ( c0_1 @ a2556 )
    | ~ ( c2_1 @ a2556 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a2556 ) ),
    inference(split,[status(esa)],[zip_derived_cl1488]) ).

thf(zip_derived_cl520_011,plain,
    ( ( c3_1 @ a2556 )
   <= ( c3_1 @ a2556 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl378_012,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl2154,plain,
    ( ( ( c0_1 @ a2556 )
      | ~ ( c1_1 @ a2556 ) )
   <= ( ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
      & ( c3_1 @ a2556 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl378]) ).

thf('26',plain,
    ( ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
    | ( c0_1 @ a2556 )
    | ~ ( c1_1 @ a2556 )
    | ~ ( c3_1 @ a2556 ) ),
    inference(split,[status(esa)],[zip_derived_cl2154]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp30
    | ( c2_1 @ a2558 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl512,plain,
    ( ( c2_1 @ a2558 )
   <= ( c2_1 @ a2558 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl246_013,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl230_014,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl793,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl246,zip_derived_cl230]) ).

thf(zip_derived_cl795,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl793]) ).

thf(zip_derived_cl1442,plain,
    ( ( ~ ( c0_1 @ a2558 )
      | ~ ( c1_1 @ a2558 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
      & ( c2_1 @ a2558 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl795]) ).

thf('27',plain,
    ( ~ ( c1_1 @ a2558 )
    | ~ ( c0_1 @ a2558 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c2_1 @ a2558 ) ),
    inference(split,[status(esa)],[zip_derived_cl1442]) ).

thf(zip_derived_cl512_015,plain,
    ( ( c2_1 @ a2558 )
   <= ( c2_1 @ a2558 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl12,plain,
    ! [X5: $i] :
      ( ( c3_1 @ X5 )
      | ~ ( c0_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ndr1_0
      | hskp25
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl242,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl230_016,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl789,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl230]) ).

thf(zip_derived_cl791,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl789]) ).

thf(zip_derived_cl1440,plain,
    ( ~ ( c0_1 @ a2558 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c2_1 @ a2558 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl791]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp30
    | ( c0_1 @ a2558 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl508,plain,
    ( ( c0_1 @ a2558 )
   <= ( c0_1 @ a2558 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('28',plain,
    ( ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c2_1 @ a2558 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a2558 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1440,zip_derived_cl508]) ).

thf(zip_derived_cl53,plain,
    ! [X72: $i,X73: $i,X74: $i] :
      ( ( c0_1 @ X72 )
      | ( c3_1 @ X72 )
      | ~ ( c2_1 @ X72 )
      | ~ ndr1_0
      | ( c1_1 @ X73 )
      | ( c3_1 @ X73 )
      | ~ ( c2_1 @ X73 )
      | ~ ndr1_0
      | ( c1_1 @ X74 )
      | ~ ( c0_1 @ X74 )
      | ~ ( c3_1 @ X74 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl407,plain,
    ( ! [X73: $i] :
        ( ( c1_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c2_1 @ X73 ) )
   <= ! [X73: $i] :
        ( ( c1_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c2_1 @ X73 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a2553 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl568,plain,
    ( ~ ( c3_1 @ a2553 )
   <= ~ ( c3_1 @ a2553 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl2282,plain,
    ( ( ~ ( c2_1 @ a2553 )
      | ( c1_1 @ a2553 ) )
   <= ( ~ ( c3_1 @ a2553 )
      & ! [X73: $i] :
          ( ( c1_1 @ X73 )
          | ( c3_1 @ X73 )
          | ~ ( c2_1 @ X73 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl568]) ).

thf('29',plain,
    ( ~ ( c2_1 @ a2553 )
    | ~ ! [X73: $i] :
          ( ( c1_1 @ X73 )
          | ( c3_1 @ X73 )
          | ~ ( c2_1 @ X73 ) )
    | ( c1_1 @ a2553 )
    | ( c3_1 @ a2553 ) ),
    inference(split,[status(esa)],[zip_derived_cl2282]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp4
    | ( c3_1 @ a2521 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl718,plain,
    ( ( c3_1 @ a2521 )
   <= ( c3_1 @ a2521 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl24,plain,
    ! [X22: $i] :
      ( ( c1_1 @ X22 )
      | ~ ( c0_1 @ X22 )
      | ~ ( c3_1 @ X22 )
      | ~ ndr1_0
      | hskp5
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl290,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl2059,plain,
    ( ( ( c1_1 @ a2521 )
      | ~ ( c0_1 @ a2521 ) )
   <= ( ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
      & ( c3_1 @ a2521 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl290]) ).

thf('30',plain,
    ( ~ ( c0_1 @ a2521 )
    | ( c1_1 @ a2521 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
    | ~ ( c3_1 @ a2521 ) ),
    inference(split,[status(esa)],[zip_derived_cl2059]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp4
    | ( c2_1 @ a2521 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl716,plain,
    ( ( c2_1 @ a2521 )
   <= ( c2_1 @ a2521 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl67,plain,
    ! [X99: $i,X100: $i] :
      ( ( c0_1 @ X99 )
      | ( c1_1 @ X99 )
      | ~ ( c2_1 @ X99 )
      | ~ ndr1_0
      | ( c2_1 @ X100 )
      | ~ ( c0_1 @ X100 )
      | ~ ( c1_1 @ X100 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl463,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_cl67]) ).

thf(zip_derived_cl2349,plain,
    ( ( ( c0_1 @ a2521 )
      | ( c1_1 @ a2521 ) )
   <= ( ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ~ ( c2_1 @ X99 ) )
      & ( c2_1 @ a2521 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl716,zip_derived_cl463]) ).

thf('31',plain,
    ( ( c0_1 @ a2521 )
    | ~ ( c2_1 @ a2521 )
    | ~ ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ~ ( c2_1 @ X99 ) )
    | ( c1_1 @ a2521 ) ),
    inference(split,[status(esa)],[zip_derived_cl2349]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i,X3: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ~ ( c3_1 @ X3 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('32',plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | hskp3
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl598_017,plain,
    ( ( c3_1 @ a2548 )
   <= ( c3_1 @ a2548 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl230_018,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1722,plain,
    ( ( ~ ( c0_1 @ a2548 )
      | ~ ( c2_1 @ a2548 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a2548 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl230]) ).

thf('33',plain,
    ( ~ ( c2_1 @ a2548 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a2548 )
    | ~ ( c0_1 @ a2548 ) ),
    inference(split,[status(esa)],[zip_derived_cl1722]) ).

thf(zip_derived_cl41,plain,
    ! [X50: $i] :
      ( ( c1_1 @ X50 )
      | ( c2_1 @ X50 )
      | ( c3_1 @ X50 )
      | ~ ndr1_0
      | hskp19
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl358,plain,
    ( ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ( c2_1 @ X50 )
        | ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ( c2_1 @ X50 )
        | ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl624_019,plain,
    ( ~ ( c3_1 @ a2540 )
   <= ~ ( c3_1 @ a2540 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl2011,plain,
    ( ( ( c2_1 @ a2540 )
      | ( c1_1 @ a2540 ) )
   <= ( ~ ( c3_1 @ a2540 )
      & ! [X50: $i] :
          ( ( c1_1 @ X50 )
          | ( c2_1 @ X50 )
          | ( c3_1 @ X50 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl358,zip_derived_cl624]) ).

thf('34',plain,
    ( ( c1_1 @ a2540 )
    | ~ ! [X50: $i] :
          ( ( c1_1 @ X50 )
          | ( c2_1 @ X50 )
          | ( c3_1 @ X50 ) )
    | ( c3_1 @ a2540 )
    | ( c2_1 @ a2540 ) ),
    inference(split,[status(esa)],[zip_derived_cl2011]) ).

thf(zip_derived_cl350,plain,
    ( ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl624_020,plain,
    ( ~ ( c3_1 @ a2540 )
   <= ~ ( c3_1 @ a2540 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl1667,plain,
    ( ( ~ ( c1_1 @ a2540 )
      | ( c2_1 @ a2540 ) )
   <= ( ~ ( c3_1 @ a2540 )
      & ! [X46: $i] :
          ( ( c2_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c1_1 @ X46 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl624]) ).

thf('35',plain,
    ( ~ ( c1_1 @ a2540 )
    | ( c2_1 @ a2540 )
    | ~ ! [X46: $i] :
          ( ( c2_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c1_1 @ X46 ) )
    | ( c3_1 @ a2540 ) ),
    inference(split,[status(esa)],[zip_derived_cl1667]) ).

thf(zip_derived_cl48,plain,
    ! [X62: $i,X63: $i] :
      ( ( c0_1 @ X62 )
      | ~ ( c1_1 @ X62 )
      | ~ ( c3_1 @ X62 )
      | ~ ndr1_0
      | ( c1_1 @ X63 )
      | ~ ( c0_1 @ X63 )
      | ~ ( c2_1 @ X63 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('36',plain,
    ( hskp16
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) )
    | ~ ndr1_0
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp15
    | ( c3_1 @ a2539 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl628,plain,
    ( ( c3_1 @ a2539 )
   <= ( c3_1 @ a2539 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl378_021,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl2149,plain,
    ( ( ( c0_1 @ a2539 )
      | ~ ( c1_1 @ a2539 ) )
   <= ( ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
      & ( c3_1 @ a2539 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl378]) ).

thf('37',plain,
    ( ~ ( c1_1 @ a2539 )
    | ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
    | ( c0_1 @ a2539 )
    | ~ ( c3_1 @ a2539 ) ),
    inference(split,[status(esa)],[zip_derived_cl2149]) ).

thf(zip_derived_cl628_022,plain,
    ( ( c3_1 @ a2539 )
   <= ( c3_1 @ a2539 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl34,plain,
    ! [X36: $i,X37: $i] :
      ( ( c1_1 @ X36 )
      | ( c2_1 @ X36 )
      | ~ ( c3_1 @ X36 )
      | ~ ndr1_0
      | ( c3_1 @ X37 )
      | ~ ( c1_1 @ X37 )
      | ~ ( c2_1 @ X37 )
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl331,plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1777,plain,
    ( ( ( c1_1 @ a2539 )
      | ( c2_1 @ a2539 ) )
   <= ( ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
      & ( c3_1 @ a2539 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl331]) ).

thf('38',plain,
    ( ( c1_1 @ a2539 )
    | ~ ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
    | ( c2_1 @ a2539 )
    | ~ ( c3_1 @ a2539 ) ),
    inference(split,[status(esa)],[zip_derived_cl1777]) ).

thf(zip_derived_cl70,plain,
    ! [X107: $i,X108: $i] :
      ( ( c0_1 @ X107 )
      | ( c1_1 @ X107 )
      | ~ ( c2_1 @ X107 )
      | ~ ndr1_0
      | ( c0_1 @ X108 )
      | ~ ( c1_1 @ X108 )
      | ~ ( c2_1 @ X108 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('39',plain,
    ( hskp3
    | ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ~ ( c2_1 @ X99 ) )
    | ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ~ ( c1_1 @ X64 )
        | ~ ( c2_1 @ X64 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl358_023,plain,
    ( ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ( c2_1 @ X50 )
        | ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ( c2_1 @ X50 )
        | ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl568_024,plain,
    ( ~ ( c3_1 @ a2553 )
   <= ~ ( c3_1 @ a2553 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl2013,plain,
    ( ( ( c2_1 @ a2553 )
      | ( c1_1 @ a2553 ) )
   <= ( ~ ( c3_1 @ a2553 )
      & ! [X50: $i] :
          ( ( c1_1 @ X50 )
          | ( c2_1 @ X50 )
          | ( c3_1 @ X50 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl358,zip_derived_cl568]) ).

thf('40',plain,
    ( ~ ! [X50: $i] :
          ( ( c1_1 @ X50 )
          | ( c2_1 @ X50 )
          | ( c3_1 @ X50 ) )
    | ( c2_1 @ a2553 )
    | ( c3_1 @ a2553 )
    | ( c1_1 @ a2553 ) ),
    inference(split,[status(esa)],[zip_derived_cl2013]) ).

thf(zip_derived_cl342_025,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_cl37]) ).

thf(zip_derived_cl568_026,plain,
    ( ~ ( c3_1 @ a2553 )
   <= ~ ( c3_1 @ a2553 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl11,plain,
    ! [X4: $i] :
      ( ( c3_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | hskp28
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl238,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl887,plain,
    ( ( ~ ( c1_1 @ a2553 )
      | ~ ( c2_1 @ a2553 ) )
   <= ( ~ ( c3_1 @ a2553 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl568,zip_derived_cl238]) ).

thf(zip_derived_cl1064,plain,
    ( ~ ( c2_1 @ a2553 )
   <= ~ ( c2_1 @ a2553 ) ),
    inference(split,[status(esa)],[zip_derived_cl887]) ).

thf(zip_derived_cl1543,plain,
    ( ( ~ ( c0_1 @ a2553 )
      | ( c1_1 @ a2553 ) )
   <= ( ~ ( c2_1 @ a2553 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl342,zip_derived_cl1064]) ).

thf('41',plain,
    ( ( c2_1 @ a2553 )
    | ( c1_1 @ a2553 )
    | ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) )
    | ~ ( c0_1 @ a2553 ) ),
    inference(split,[status(esa)],[zip_derived_cl1543]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp8
    | ~ ( c3_1 @ a2525 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl688,plain,
    ( ~ ( c3_1 @ a2525 )
   <= ~ ( c3_1 @ a2525 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl242_027,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl979,plain,
    ( ( ~ ( c0_1 @ a2525 )
      | ~ ( c2_1 @ a2525 ) )
   <= ( ~ ( c3_1 @ a2525 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl688,zip_derived_cl242]) ).

thf('42',plain,
    ( ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c2_1 @ a2525 )
    | ( c3_1 @ a2525 )
    | ~ ( c0_1 @ a2525 ) ),
    inference(split,[status(esa)],[zip_derived_cl979]) ).

thf(zip_derived_cl520_028,plain,
    ( ( c3_1 @ a2556 )
   <= ( c3_1 @ a2556 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl43,plain,
    ! [X53: $i] :
      ( ( c0_1 @ X53 )
      | ~ ( c2_1 @ X53 )
      | ~ ( c3_1 @ X53 )
      | ~ ndr1_0
      | hskp18
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl366,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c2_1 @ X53 )
        | ~ ( c3_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c2_1 @ X53 )
        | ~ ( c3_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl2122,plain,
    ( ( ( c0_1 @ a2556 )
      | ~ ( c2_1 @ a2556 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c2_1 @ X53 )
          | ~ ( c3_1 @ X53 ) )
      & ( c3_1 @ a2556 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl366]) ).

thf('43',plain,
    ( ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c2_1 @ X53 )
          | ~ ( c3_1 @ X53 ) )
    | ( c0_1 @ a2556 )
    | ~ ( c2_1 @ a2556 )
    | ~ ( c3_1 @ a2556 ) ),
    inference(split,[status(esa)],[zip_derived_cl2122]) ).

thf(zip_derived_cl520_029,plain,
    ( ( c3_1 @ a2556 )
   <= ( c3_1 @ a2556 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl275_030,plain,
    ( ! [X16: $i] :
        ( ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 )
        | ~ ( c3_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1490,plain,
    ( ( ~ ( c0_1 @ a2556 )
      | ~ ( c1_1 @ a2556 ) )
   <= ( ! [X16: $i] :
          ( ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
      & ( c3_1 @ a2556 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl275]) ).

thf('44',plain,
    ( ~ ! [X16: $i] :
          ( ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
    | ~ ( c0_1 @ a2556 )
    | ~ ( c3_1 @ a2556 )
    | ~ ( c1_1 @ a2556 ) ),
    inference(split,[status(esa)],[zip_derived_cl1490]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp28
    | ( c3_1 @ a2529 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl528,plain,
    ( ( c3_1 @ a2529 )
   <= ( c3_1 @ a2529 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl275_031,plain,
    ( ! [X16: $i] :
        ( ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 )
        | ~ ( c3_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1511,plain,
    ( ( ~ ( c0_1 @ a2529 )
      | ~ ( c1_1 @ a2529 ) )
   <= ( ! [X16: $i] :
          ( ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
      & ( c3_1 @ a2529 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl275]) ).

thf('45',plain,
    ( ~ ( c1_1 @ a2529 )
    | ~ ( c0_1 @ a2529 )
    | ~ ! [X16: $i] :
          ( ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
    | ~ ( c3_1 @ a2529 ) ),
    inference(split,[status(esa)],[zip_derived_cl1511]) ).

thf(zip_derived_cl57,plain,
    ! [X80: $i,X81: $i,X82: $i] :
      ( ( c0_1 @ X80 )
      | ( c2_1 @ X80 )
      | ~ ( c3_1 @ X80 )
      | ~ ndr1_0
      | ( c1_1 @ X81 )
      | ~ ( c0_1 @ X81 )
      | ~ ( c2_1 @ X81 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X82 )
      | ~ ( c1_1 @ X82 )
      | ~ ( c3_1 @ X82 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('46',plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) )
    | ! [X16: $i] :
        ( ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
    | ~ ndr1_0
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf('47',plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) )
    | hskp10
    | ~ ndr1_0
    | ! [X16: $i] :
        ( ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 )
        | ~ ( c3_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl628_032,plain,
    ( ( c3_1 @ a2539 )
   <= ( c3_1 @ a2539 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl419_033,plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl2246,plain,
    ( ( ( c0_1 @ a2539 )
      | ( c2_1 @ a2539 ) )
   <= ( ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) )
      & ( c3_1 @ a2539 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl419]) ).

thf('48',plain,
    ( ~ ( c3_1 @ a2539 )
    | ( c0_1 @ a2539 )
    | ~ ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) )
    | ( c2_1 @ a2539 ) ),
    inference(split,[status(esa)],[zip_derived_cl2246]) ).

thf(zip_derived_cl59,plain,
    ! [X85: $i] :
      ( ( c0_1 @ X85 )
      | ( c2_1 @ X85 )
      | ~ ( c1_1 @ X85 )
      | ~ ndr1_0
      | hskp28
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl430,plain,
    ( ! [X85: $i] :
        ( ( c0_1 @ X85 )
        | ( c2_1 @ X85 )
        | ~ ( c1_1 @ X85 ) )
   <= ! [X85: $i] :
        ( ( c0_1 @ X85 )
        | ( c2_1 @ X85 )
        | ~ ( c1_1 @ X85 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp13
    | ~ ( c2_1 @ a2534 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl648,plain,
    ( ~ ( c2_1 @ a2534 )
   <= ~ ( c2_1 @ a2534 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl2428,plain,
    ( ( ~ ( c1_1 @ a2534 )
      | ( c0_1 @ a2534 ) )
   <= ( ~ ( c2_1 @ a2534 )
      & ! [X85: $i] :
          ( ( c0_1 @ X85 )
          | ( c2_1 @ X85 )
          | ~ ( c1_1 @ X85 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl648]) ).

thf('49',plain,
    ( ~ ! [X85: $i] :
          ( ( c0_1 @ X85 )
          | ( c2_1 @ X85 )
          | ~ ( c1_1 @ X85 ) )
    | ~ ( c1_1 @ a2534 )
    | ( c0_1 @ a2534 )
    | ( c2_1 @ a2534 ) ),
    inference(split,[status(esa)],[zip_derived_cl2428]) ).

thf('50',plain,
    ( ( c3_1 @ a2539 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp15
    | ~ ( c0_1 @ a2539 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('51',plain,
    ( ~ ( c0_1 @ a2539 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp15
    | ~ ( c2_1 @ a2539 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('52',plain,
    ( ~ ( c2_1 @ a2539 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp13
    | ( c1_1 @ a2534 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('53',plain,
    ( ( c1_1 @ a2534 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp13
    | ~ ( c0_1 @ a2534 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( ~ ( c0_1 @ a2534 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf('55',plain,
    ( ~ ( c2_1 @ a2534 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf('56',plain,
    ( hskp15
    | hskp4
    | ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ~ ( c1_1 @ X64 )
        | ~ ( c2_1 @ X64 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl54,plain,
    ! [X75: $i] :
      ( ( c0_1 @ X75 )
      | ( c3_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ~ ndr1_0
      | hskp13
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( hskp13
    | hskp4
    | ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl598_034,plain,
    ( ( c3_1 @ a2548 )
   <= ( c3_1 @ a2548 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl22,plain,
    ! [X19: $i] :
      ( ( c1_1 @ X19 )
      | ~ ( c2_1 @ X19 )
      | ~ ( c3_1 @ X19 )
      | ~ ndr1_0
      | hskp8
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl282,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_cl1725,plain,
    ( ( ( c1_1 @ a2548 )
      | ~ ( c2_1 @ a2548 ) )
   <= ( ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a2548 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl282]) ).

thf('58',plain,
    ( ~ ( c2_1 @ a2548 )
    | ( c1_1 @ a2548 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c3_1 @ a2548 ) ),
    inference(split,[status(esa)],[zip_derived_cl1725]) ).

thf(zip_derived_cl598_035,plain,
    ( ( c3_1 @ a2548 )
   <= ( c3_1 @ a2548 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl331_036,plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1727,plain,
    ( ( ( c1_1 @ a2548 )
      | ( c2_1 @ a2548 ) )
   <= ( ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
      & ( c3_1 @ a2548 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl331]) ).

thf('59',plain,
    ( ~ ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
    | ( c2_1 @ a2548 )
    | ~ ( c3_1 @ a2548 )
    | ( c1_1 @ a2548 ) ),
    inference(split,[status(esa)],[zip_derived_cl1727]) ).

thf(zip_derived_cl410,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp2
    | ~ ( c3_1 @ a2518 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl736,plain,
    ( ~ ( c3_1 @ a2518 )
   <= ~ ( c3_1 @ a2518 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl2375,plain,
    ( ( ~ ( c1_1 @ a2518 )
      | ( c0_1 @ a2518 ) )
   <= ( ~ ( c3_1 @ a2518 )
      & ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl736]) ).

thf('60',plain,
    ( ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ( c0_1 @ a2518 )
    | ( c3_1 @ a2518 )
    | ~ ( c1_1 @ a2518 ) ),
    inference(split,[status(esa)],[zip_derived_cl2375]) ).

thf('61',plain,
    ( hskp2
    | ! [X112: $i] :
        ( ( c0_1 @ X112 )
        | ( c1_1 @ X112 )
        | ( c3_1 @ X112 ) )
    | ~ ndr1_0
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl0,plain,
    ( hskp2
    | hskp27
    | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( hskp2
    | hskp27
    | hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl33,plain,
    ! [X34: $i,X35: $i] :
      ( ( c1_1 @ X34 )
      | ( c3_1 @ X34 )
      | ~ ( c0_1 @ X34 )
      | ~ ndr1_0
      | ( c2_1 @ X35 )
      | ( c3_1 @ X35 )
      | ~ ( c0_1 @ X35 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( hskp2
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) )
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl483_037,plain,
    ( ! [X112: $i] :
        ( ( c0_1 @ X112 )
        | ( c1_1 @ X112 )
        | ( c3_1 @ X112 ) )
   <= ! [X112: $i] :
        ( ( c0_1 @ X112 )
        | ( c1_1 @ X112 )
        | ( c3_1 @ X112 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp3
    | ~ ( c3_1 @ a2519 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl728,plain,
    ( ~ ( c3_1 @ a2519 )
   <= ~ ( c3_1 @ a2519 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl2547,plain,
    ( ( ( c1_1 @ a2519 )
      | ( c0_1 @ a2519 ) )
   <= ( ~ ( c3_1 @ a2519 )
      & ! [X112: $i] :
          ( ( c0_1 @ X112 )
          | ( c1_1 @ X112 )
          | ( c3_1 @ X112 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl483,zip_derived_cl728]) ).

thf('64',plain,
    ( ( c1_1 @ a2519 )
    | ~ ! [X112: $i] :
          ( ( c0_1 @ X112 )
          | ( c1_1 @ X112 )
          | ( c3_1 @ X112 ) )
    | ( c3_1 @ a2519 )
    | ( c0_1 @ a2519 ) ),
    inference(split,[status(esa)],[zip_derived_cl2547]) ).

thf(zip_derived_cl35,plain,
    ! [X38: $i,X39: $i,X40: $i] :
      ( ( c1_1 @ X38 )
      | ( c2_1 @ X38 )
      | ~ ( c3_1 @ X38 )
      | ~ ndr1_0
      | ( c3_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ~ ( c1_1 @ X39 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X40 )
      | ~ ( c2_1 @ X40 )
      | ~ ( c3_1 @ X40 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('65',plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
    | ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf('66',plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
    | hskp18
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp24
    | ( c0_1 @ a2555 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('67',plain,
    ( ( c0_1 @ a2555 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp24
    | ( c2_1 @ a2555 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( ( c2_1 @ a2555 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp24
    | ~ ( c1_1 @ a2555 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('69',plain,
    ( ~ ( c1_1 @ a2555 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl23,plain,
    ! [X20: $i,X21: $i] :
      ( ( c1_1 @ X20 )
      | ~ ( c2_1 @ X20 )
      | ~ ( c3_1 @ X20 )
      | ~ ndr1_0
      | ( c2_1 @ X21 )
      | ( c3_1 @ X21 )
      | ~ ( c0_1 @ X21 )
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('70',plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) )
    | hskp24
    | ~ ndr1_0
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl266_038,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl568_039,plain,
    ( ~ ( c3_1 @ a2553 )
   <= ~ ( c3_1 @ a2553 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl910,plain,
    ( ( ~ ( c0_1 @ a2553 )
      | ( c2_1 @ a2553 ) )
   <= ( ~ ( c3_1 @ a2553 )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl568]) ).

thf('71',plain,
    ( ( c2_1 @ a2553 )
    | ( c3_1 @ a2553 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) )
    | ~ ( c0_1 @ a2553 ) ),
    inference(split,[status(esa)],[zip_derived_cl910]) ).

thf(zip_derived_cl2705,plain,
    ( ( c2_1 @ a2553 )
   <= ( c2_1 @ a2553 ) ),
    inference(split,[status(esa)],[zip_derived_cl910]) ).

thf(zip_derived_cl306_040,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl2714,plain,
    ( ( ( c1_1 @ a2553 )
      | ~ ( c0_1 @ a2553 ) )
   <= ( ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
      & ( c2_1 @ a2553 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2705,zip_derived_cl306]) ).

thf('72',plain,
    ( ~ ( c2_1 @ a2553 )
    | ~ ( c0_1 @ a2553 )
    | ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ( c1_1 @ a2553 ) ),
    inference(split,[status(esa)],[zip_derived_cl2714]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp28
    | ( c0_1 @ a2529 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('73',plain,
    ( ( c0_1 @ a2529 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl528_041,plain,
    ( ( c3_1 @ a2529 )
   <= ( c3_1 @ a2529 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl290_042,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1513,plain,
    ( ( ( c1_1 @ a2529 )
      | ~ ( c0_1 @ a2529 ) )
   <= ( ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
      & ( c3_1 @ a2529 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl290]) ).

thf('74',plain,
    ( ( c1_1 @ a2529 )
    | ~ ( c0_1 @ a2529 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
    | ~ ( c3_1 @ a2529 ) ),
    inference(split,[status(esa)],[zip_derived_cl1513]) ).

thf(zip_derived_cl52,plain,
    ! [X70: $i,X71: $i] :
      ( ( c0_1 @ X70 )
      | ( c3_1 @ X70 )
      | ~ ( c2_1 @ X70 )
      | ~ ndr1_0
      | ( c2_1 @ X71 )
      | ~ ( c0_1 @ X71 )
      | ~ ( c1_1 @ X71 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl403,plain,
    ( ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c3_1 @ X70 )
        | ~ ( c2_1 @ X70 ) )
   <= ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c3_1 @ X70 )
        | ~ ( c2_1 @ X70 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl736_043,plain,
    ( ~ ( c3_1 @ a2518 )
   <= ~ ( c3_1 @ a2518 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl2197,plain,
    ( ( ~ ( c2_1 @ a2518 )
      | ( c0_1 @ a2518 ) )
   <= ( ~ ( c3_1 @ a2518 )
      & ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c3_1 @ X70 )
          | ~ ( c2_1 @ X70 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl736]) ).

thf('75',plain,
    ( ~ ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c3_1 @ X70 )
          | ~ ( c2_1 @ X70 ) )
    | ( c0_1 @ a2518 )
    | ~ ( c2_1 @ a2518 )
    | ( c3_1 @ a2518 ) ),
    inference(split,[status(esa)],[zip_derived_cl2197]) ).

thf(zip_derived_cl407_044,plain,
    ( ! [X73: $i] :
        ( ( c1_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c2_1 @ X73 ) )
   <= ! [X73: $i] :
        ( ( c1_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c2_1 @ X73 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a2552 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl576,plain,
    ( ~ ( c3_1 @ a2552 )
   <= ~ ( c3_1 @ a2552 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl2281,plain,
    ( ( ~ ( c2_1 @ a2552 )
      | ( c1_1 @ a2552 ) )
   <= ( ~ ( c3_1 @ a2552 )
      & ! [X73: $i] :
          ( ( c1_1 @ X73 )
          | ( c3_1 @ X73 )
          | ~ ( c2_1 @ X73 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl576]) ).

thf('76',plain,
    ( ~ ( c2_1 @ a2552 )
    | ( c3_1 @ a2552 )
    | ~ ! [X73: $i] :
          ( ( c1_1 @ X73 )
          | ( c3_1 @ X73 )
          | ~ ( c2_1 @ X73 ) )
    | ( c1_1 @ a2552 ) ),
    inference(split,[status(esa)],[zip_derived_cl2281]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp22
    | ( c2_1 @ a2552 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ( c2_1 @ a2552 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp22
    | ~ ( c1_1 @ a2552 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('78',plain,
    ( ~ ( c1_1 @ a2552 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf('79',plain,
    ( ~ ( c3_1 @ a2552 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl32,plain,
    ! [X33: $i] :
      ( ( c1_1 @ X33 )
      | ( c3_1 @ X33 )
      | ~ ( c0_1 @ X33 )
      | ~ ndr1_0
      | hskp30
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( hskp30
    | hskp22
    | ~ ndr1_0
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl688_045,plain,
    ( ~ ( c3_1 @ a2525 )
   <= ~ ( c3_1 @ a2525 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl246_046,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl980,plain,
    ( ( ~ ( c0_1 @ a2525 )
      | ~ ( c1_1 @ a2525 ) )
   <= ( ~ ( c3_1 @ a2525 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl688,zip_derived_cl246]) ).

thf('81',plain,
    ( ~ ( c1_1 @ a2525 )
    | ( c3_1 @ a2525 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
    | ~ ( c0_1 @ a2525 ) ),
    inference(split,[status(esa)],[zip_derived_cl980]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp8
    | ( c0_1 @ a2525 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('82',plain,
    ( ( c0_1 @ a2525 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp8
    | ( c2_1 @ a2525 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('83',plain,
    ( ( c2_1 @ a2525 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf('84',plain,
    ( ~ ( c3_1 @ a2525 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl71,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('85',plain,
    ( ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ~ ( c2_1 @ X99 ) )
    | ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ~ ( c1_1 @ X64 )
        | ~ ( c2_1 @ X64 ) )
    | ~ ndr1_0
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl63,plain,
    ! [X92: $i,X93: $i] :
      ( ( c0_1 @ X92 )
      | ( c2_1 @ X92 )
      | ( c3_1 @ X92 )
      | ~ ndr1_0
      | ( c1_1 @ X93 )
      | ( c2_1 @ X93 )
      | ~ ( c0_1 @ X93 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( hskp8
    | ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
    | ~ ndr1_0
    | ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ( c3_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl736_047,plain,
    ( ~ ( c3_1 @ a2518 )
   <= ~ ( c3_1 @ a2518 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl266_048,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1045,plain,
    ( ( ( c2_1 @ a2518 )
      | ~ ( c0_1 @ a2518 ) )
   <= ( ~ ( c3_1 @ a2518 )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl266]) ).

thf(zip_derived_cl3831,plain,
    ( ( c2_1 @ a2518 )
   <= ( c2_1 @ a2518 ) ),
    inference(split,[status(esa)],[zip_derived_cl1045]) ).

thf(zip_derived_cl390_049,plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ~ ( c1_1 @ X64 )
        | ~ ( c2_1 @ X64 ) )
   <= ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ~ ( c1_1 @ X64 )
        | ~ ( c2_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl3845,plain,
    ( ( ( c0_1 @ a2518 )
      | ~ ( c1_1 @ a2518 ) )
   <= ( ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ~ ( c1_1 @ X64 )
          | ~ ( c2_1 @ X64 ) )
      & ( c2_1 @ a2518 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3831,zip_derived_cl390]) ).

thf('87',plain,
    ( ~ ( c2_1 @ a2518 )
    | ~ ( c1_1 @ a2518 )
    | ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ~ ( c1_1 @ X64 )
          | ~ ( c2_1 @ X64 ) )
    | ( c0_1 @ a2518 ) ),
    inference(split,[status(esa)],[zip_derived_cl3845]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp20
    | ( c2_1 @ a2549 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl588,plain,
    ( ( c2_1 @ a2549 )
   <= ( c2_1 @ a2549 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl463_050,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_cl67]) ).

thf(zip_derived_cl2354,plain,
    ( ( ( c0_1 @ a2549 )
      | ( c1_1 @ a2549 ) )
   <= ( ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ~ ( c2_1 @ X99 ) )
      & ( c2_1 @ a2549 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl588,zip_derived_cl463]) ).

thf('88',plain,
    ( ( c0_1 @ a2549 )
    | ( c1_1 @ a2549 )
    | ~ ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ~ ( c2_1 @ X99 ) )
    | ~ ( c2_1 @ a2549 ) ),
    inference(split,[status(esa)],[zip_derived_cl2354]) ).

thf(zip_derived_cl342_051,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_cl37]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp16
    | ~ ( c2_1 @ a2540 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl622,plain,
    ( ~ ( c2_1 @ a2540 )
   <= ~ ( c2_1 @ a2540 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl1539,plain,
    ( ( ~ ( c0_1 @ a2540 )
      | ( c1_1 @ a2540 ) )
   <= ( ~ ( c2_1 @ a2540 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl342,zip_derived_cl622]) ).

thf('89',plain,
    ( ( c1_1 @ a2540 )
    | ( c2_1 @ a2540 )
    | ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) )
    | ~ ( c0_1 @ a2540 ) ),
    inference(split,[status(esa)],[zip_derived_cl1539]) ).

thf('90',plain,
    ( ( c2_1 @ a2549 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp20
    | ~ ( c0_1 @ a2549 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('91',plain,
    ( ~ ( c0_1 @ a2549 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp20
    | ~ ( c1_1 @ a2549 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('92',plain,
    ( ~ ( c1_1 @ a2549 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl624_052,plain,
    ( ~ ( c3_1 @ a2540 )
   <= ~ ( c3_1 @ a2540 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl246_053,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl925,plain,
    ( ( ~ ( c0_1 @ a2540 )
      | ~ ( c1_1 @ a2540 ) )
   <= ( ~ ( c3_1 @ a2540 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl624,zip_derived_cl246]) ).

thf('93',plain,
    ( ~ ( c1_1 @ a2540 )
    | ( c3_1 @ a2540 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
    | ~ ( c0_1 @ a2540 ) ),
    inference(split,[status(esa)],[zip_derived_cl925]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp2
    | ~ ( c0_1 @ a2518 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ~ ( c0_1 @ a2518 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf('95',plain,
    ( hskp20
    | ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ( c2_1 @ X50 )
        | ( c3_1 @ X50 ) )
    | hskp19
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp16
    | ( c0_1 @ a2540 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('96',plain,
    ( ( c0_1 @ a2540 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf('97',plain,
    ( ~ ( c2_1 @ a2540 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf('98',plain,
    ( ~ ( c3_1 @ a2540 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl358_054,plain,
    ( ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ( c2_1 @ X50 )
        | ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ( c2_1 @ X50 )
        | ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl728_055,plain,
    ( ~ ( c3_1 @ a2519 )
   <= ~ ( c3_1 @ a2519 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl2005,plain,
    ( ( ( c2_1 @ a2519 )
      | ( c1_1 @ a2519 ) )
   <= ( ~ ( c3_1 @ a2519 )
      & ! [X50: $i] :
          ( ( c1_1 @ X50 )
          | ( c2_1 @ X50 )
          | ( c3_1 @ X50 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl358,zip_derived_cl728]) ).

thf('99',plain,
    ( ~ ! [X50: $i] :
          ( ( c1_1 @ X50 )
          | ( c2_1 @ X50 )
          | ( c3_1 @ X50 ) )
    | ( c1_1 @ a2519 )
    | ( c3_1 @ a2519 )
    | ( c2_1 @ a2519 ) ),
    inference(split,[status(esa)],[zip_derived_cl2005]) ).

thf(zip_derived_cl4,plain,
    ( hskp6
    | hskp19
    | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('100',plain,
    ( hskp16
    | hskp19
    | hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl61,plain,
    ! [X88: $i,X89: $i] :
      ( ( c0_1 @ X88 )
      | ( c2_1 @ X88 )
      | ( c3_1 @ X88 )
      | ~ ndr1_0
      | ( c2_1 @ X89 )
      | ( c3_1 @ X89 )
      | ~ ( c1_1 @ X89 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl439,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ( c3_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ( c3_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl728_056,plain,
    ( ~ ( c3_1 @ a2519 )
   <= ~ ( c3_1 @ a2519 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl2498,plain,
    ( ( ( c2_1 @ a2519 )
      | ( c0_1 @ a2519 ) )
   <= ( ~ ( c3_1 @ a2519 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c2_1 @ X88 )
          | ( c3_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl728]) ).

thf('101',plain,
    ( ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c2_1 @ X88 )
          | ( c3_1 @ X88 ) )
    | ( c0_1 @ a2519 )
    | ( c2_1 @ a2519 )
    | ( c3_1 @ a2519 ) ),
    inference(split,[status(esa)],[zip_derived_cl2498]) ).

thf(zip_derived_cl350_057,plain,
    ( ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl728_058,plain,
    ( ~ ( c3_1 @ a2519 )
   <= ~ ( c3_1 @ a2519 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl1661,plain,
    ( ( ~ ( c1_1 @ a2519 )
      | ( c2_1 @ a2519 ) )
   <= ( ~ ( c3_1 @ a2519 )
      & ! [X46: $i] :
          ( ( c2_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c1_1 @ X46 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl728]) ).

thf('102',plain,
    ( ~ ( c1_1 @ a2519 )
    | ~ ! [X46: $i] :
          ( ( c2_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c1_1 @ X46 ) )
    | ( c2_1 @ a2519 )
    | ( c3_1 @ a2519 ) ),
    inference(split,[status(esa)],[zip_derived_cl1661]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp19
    | ( c0_1 @ a2548 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('103',plain,
    ( ( c0_1 @ a2548 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf('104',plain,
    ( ( c3_1 @ a2548 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp19
    | ~ ( c1_1 @ a2548 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('105',plain,
    ( ~ ( c1_1 @ a2548 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl598_059,plain,
    ( ( c3_1 @ a2548 )
   <= ( c3_1 @ a2548 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl290_060,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1726,plain,
    ( ( ( c1_1 @ a2548 )
      | ~ ( c0_1 @ a2548 ) )
   <= ( ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
      & ( c3_1 @ a2548 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl290]) ).

thf('106',plain,
    ( ~ ( c0_1 @ a2548 )
    | ( c1_1 @ a2548 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
    | ~ ( c3_1 @ a2548 ) ),
    inference(split,[status(esa)],[zip_derived_cl1726]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp6
    | ( c0_1 @ a2523 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( ( c0_1 @ a2523 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp6
    | ( c1_1 @ a2523 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( ( c1_1 @ a2523 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp6
    | ~ ( c3_1 @ a2523 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('109',plain,
    ( ~ ( c3_1 @ a2523 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl704,plain,
    ( ~ ( c3_1 @ a2523 )
   <= ~ ( c3_1 @ a2523 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl246_061,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl991,plain,
    ( ( ~ ( c0_1 @ a2523 )
      | ~ ( c1_1 @ a2523 ) )
   <= ( ~ ( c3_1 @ a2523 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl704,zip_derived_cl246]) ).

thf('110',plain,
    ( ~ ( c1_1 @ a2523 )
    | ( c3_1 @ a2523 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
    | ~ ( c0_1 @ a2523 ) ),
    inference(split,[status(esa)],[zip_derived_cl991]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp3
    | ~ ( c0_1 @ a2519 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('111',plain,
    ( ~ ( c0_1 @ a2519 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp3
    | ~ ( c2_1 @ a2519 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('112',plain,
    ( ~ ( c2_1 @ a2519 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf('113',plain,
    ( ~ ( c3_1 @ a2519 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl26,plain,
    ! [X25: $i,X26: $i] :
      ( ( c1_1 @ X25 )
      | ~ ( c0_1 @ X25 )
      | ~ ( c3_1 @ X25 )
      | ~ ndr1_0
      | ( c3_1 @ X26 )
      | ~ ( c1_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('114',plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
    | ~ ndr1_0
    | hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp27
    | ~ ( c3_1 @ a2614 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl536,plain,
    ( ~ ( c3_1 @ a2614 )
   <= ~ ( c3_1 @ a2614 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl246_062,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl841,plain,
    ( ( ~ ( c0_1 @ a2614 )
      | ~ ( c1_1 @ a2614 ) )
   <= ( ~ ( c3_1 @ a2614 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl536,zip_derived_cl246]) ).

thf('115',plain,
    ( ~ ( c0_1 @ a2614 )
    | ( c3_1 @ a2614 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
    | ~ ( c1_1 @ a2614 ) ),
    inference(split,[status(esa)],[zip_derived_cl841]) ).

thf(zip_derived_cl60,plain,
    ! [X86: $i,X87: $i] :
      ( ( c0_1 @ X86 )
      | ( c2_1 @ X86 )
      | ~ ( c1_1 @ X86 )
      | ~ ndr1_0
      | ( c2_1 @ X87 )
      | ( c3_1 @ X87 )
      | ~ ( c1_1 @ X87 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( hskp10
    | ! [X85: $i] :
        ( ( c0_1 @ X85 )
        | ( c2_1 @ X85 )
        | ~ ( c1_1 @ X85 ) )
    | ~ ndr1_0
    | ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl430_063,plain,
    ( ! [X85: $i] :
        ( ( c0_1 @ X85 )
        | ( c2_1 @ X85 )
        | ~ ( c1_1 @ X85 ) )
   <= ! [X85: $i] :
        ( ( c0_1 @ X85 )
        | ( c2_1 @ X85 )
        | ~ ( c1_1 @ X85 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp27
    | ~ ( c2_1 @ a2614 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl534,plain,
    ( ~ ( c2_1 @ a2614 )
   <= ~ ( c2_1 @ a2614 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl2438,plain,
    ( ( ~ ( c1_1 @ a2614 )
      | ( c0_1 @ a2614 ) )
   <= ( ~ ( c2_1 @ a2614 )
      & ! [X85: $i] :
          ( ( c0_1 @ X85 )
          | ( c2_1 @ X85 )
          | ~ ( c1_1 @ X85 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl534]) ).

thf('117',plain,
    ( ~ ! [X85: $i] :
          ( ( c0_1 @ X85 )
          | ( c2_1 @ X85 )
          | ~ ( c1_1 @ X85 ) )
    | ( c0_1 @ a2614 )
    | ( c2_1 @ a2614 )
    | ~ ( c1_1 @ a2614 ) ),
    inference(split,[status(esa)],[zip_derived_cl2438]) ).

thf('118',plain,
    ( hskp28
    | hskp3
    | ! [X85: $i] :
        ( ( c0_1 @ X85 )
        | ( c2_1 @ X85 )
        | ~ ( c1_1 @ X85 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf('119',plain,
    ( ( c2_1 @ a2521 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf('120',plain,
    ( ( c3_1 @ a2521 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a2521 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('121',plain,
    ( ~ ( c1_1 @ a2521 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl718_064,plain,
    ( ( c3_1 @ a2521 )
   <= ( c3_1 @ a2521 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl282_065,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_cl2058,plain,
    ( ( ( c1_1 @ a2521 )
      | ~ ( c2_1 @ a2521 ) )
   <= ( ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a2521 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl282]) ).

thf('122',plain,
    ( ~ ( c3_1 @ a2521 )
    | ( c1_1 @ a2521 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c2_1 @ a2521 ) ),
    inference(split,[status(esa)],[zip_derived_cl2058]) ).

thf(zip_derived_cl668_066,plain,
    ( ( c3_1 @ a2528 )
   <= ( c3_1 @ a2528 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl282_067,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_cl1842,plain,
    ( ( ( c1_1 @ a2528 )
      | ~ ( c2_1 @ a2528 ) )
   <= ( ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a2528 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl282]) ).

thf('123',plain,
    ( ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c2_1 @ a2528 )
    | ~ ( c3_1 @ a2528 )
    | ( c1_1 @ a2528 ) ),
    inference(split,[status(esa)],[zip_derived_cl1842]) ).

thf(zip_derived_cl528_068,plain,
    ( ( c3_1 @ a2529 )
   <= ( c3_1 @ a2529 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl226_069,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_cl8]) ).

thf(zip_derived_cl1508,plain,
    ( ( ~ ( c1_1 @ a2529 )
      | ~ ( c2_1 @ a2529 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a2529 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl226]) ).

thf('124',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a2529 )
    | ~ ( c3_1 @ a2529 )
    | ~ ( c1_1 @ a2529 ) ),
    inference(split,[status(esa)],[zip_derived_cl1508]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp28
    | ( c2_1 @ a2529 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('125',plain,
    ( ( c2_1 @ a2529 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf('126',plain,
    ( ( c3_1 @ a2529 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl528_070,plain,
    ( ( c3_1 @ a2529 )
   <= ( c3_1 @ a2529 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl282_071,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_cl1512,plain,
    ( ( ( c1_1 @ a2529 )
      | ~ ( c2_1 @ a2529 ) )
   <= ( ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a2529 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl282]) ).

thf('127',plain,
    ( ( c1_1 @ a2529 )
    | ~ ( c2_1 @ a2529 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c3_1 @ a2529 ) ),
    inference(split,[status(esa)],[zip_derived_cl1512]) ).

thf(zip_derived_cl686,plain,
    ( ( c2_1 @ a2525 )
   <= ( c2_1 @ a2525 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl306_072,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1914,plain,
    ( ( ( c1_1 @ a2525 )
      | ~ ( c0_1 @ a2525 ) )
   <= ( ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
      & ( c2_1 @ a2525 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl686,zip_derived_cl306]) ).

thf('128',plain,
    ( ( c1_1 @ a2525 )
    | ~ ( c2_1 @ a2525 )
    | ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ~ ( c0_1 @ a2525 ) ),
    inference(split,[status(esa)],[zip_derived_cl1914]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp9
    | ( c3_1 @ a2526 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl678,plain,
    ( ( c3_1 @ a2526 )
   <= ( c3_1 @ a2526 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl226_073,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_cl8]) ).

thf(zip_derived_cl1897,plain,
    ( ( ~ ( c1_1 @ a2526 )
      | ~ ( c2_1 @ a2526 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a2526 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl226]) ).

thf(zip_derived_cl3011,plain,
    ( ~ ( c2_1 @ a2526 )
   <= ~ ( c2_1 @ a2526 ) ),
    inference(split,[status(esa)],[zip_derived_cl1897]) ).

thf(zip_derived_cl430_074,plain,
    ( ! [X85: $i] :
        ( ( c0_1 @ X85 )
        | ( c2_1 @ X85 )
        | ~ ( c1_1 @ X85 ) )
   <= ! [X85: $i] :
        ( ( c0_1 @ X85 )
        | ( c2_1 @ X85 )
        | ~ ( c1_1 @ X85 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl3017,plain,
    ( ( ( c0_1 @ a2526 )
      | ~ ( c1_1 @ a2526 ) )
   <= ( ~ ( c2_1 @ a2526 )
      & ! [X85: $i] :
          ( ( c0_1 @ X85 )
          | ( c2_1 @ X85 )
          | ~ ( c1_1 @ X85 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3011,zip_derived_cl430]) ).

thf('129',plain,
    ( ~ ! [X85: $i] :
          ( ( c0_1 @ X85 )
          | ( c2_1 @ X85 )
          | ~ ( c1_1 @ X85 ) )
    | ( c2_1 @ a2526 )
    | ( c0_1 @ a2526 )
    | ~ ( c1_1 @ a2526 ) ),
    inference(split,[status(esa)],[zip_derived_cl3017]) ).

thf(zip_derived_cl542_075,plain,
    ( ( c3_1 @ a2601 )
   <= ( c3_1 @ a2601 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl331_076,plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1613,plain,
    ( ( ( c1_1 @ a2601 )
      | ( c2_1 @ a2601 ) )
   <= ( ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
      & ( c3_1 @ a2601 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl331]) ).

thf('130',plain,
    ( ( c1_1 @ a2601 )
    | ~ ( c3_1 @ a2601 )
    | ~ ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
    | ( c2_1 @ a2601 ) ),
    inference(split,[status(esa)],[zip_derived_cl1613]) ).

thf('131',plain,
    ( ( c3_1 @ a2522 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl710_077,plain,
    ( ( c3_1 @ a2522 )
   <= ( c3_1 @ a2522 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl226_078,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_cl8]) ).

thf(zip_derived_cl2032,plain,
    ( ( ~ ( c1_1 @ a2522 )
      | ~ ( c2_1 @ a2522 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a2522 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl710,zip_derived_cl226]) ).

thf('132',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a2522 )
    | ~ ( c1_1 @ a2522 )
    | ~ ( c2_1 @ a2522 ) ),
    inference(split,[status(esa)],[zip_derived_cl2032]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp5
    | ( c2_1 @ a2522 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('133',plain,
    ( ( c2_1 @ a2522 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp5
    | ~ ( c0_1 @ a2522 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('134',plain,
    ( ~ ( c0_1 @ a2522 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl69,plain,
    ! [X104: $i,X105: $i,X106: $i] :
      ( ( c0_1 @ X104 )
      | ( c1_1 @ X104 )
      | ~ ( c2_1 @ X104 )
      | ~ ndr1_0
      | ( c0_1 @ X105 )
      | ~ ( c2_1 @ X105 )
      | ~ ( c3_1 @ X105 )
      | ~ ndr1_0
      | ( c3_1 @ X106 )
      | ~ ( c0_1 @ X106 )
      | ~ ( c2_1 @ X106 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('135',plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ~ ( c2_1 @ X99 ) )
    | ~ ndr1_0
    | ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c2_1 @ X53 )
        | ~ ( c3_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl65,plain,
    ! [X95: $i,X96: $i] :
      ( ( c0_1 @ X95 )
      | ( c1_1 @ X95 )
      | ~ ( c3_1 @ X95 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X96 )
      | ~ ( c1_1 @ X96 )
      | ~ ( c2_1 @ X96 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('136',plain,
    ( hskp5
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | ~ ndr1_0
    | ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ~ ( c3_1 @ X94 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl668_079,plain,
    ( ( c3_1 @ a2528 )
   <= ( c3_1 @ a2528 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl366_080,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c2_1 @ X53 )
        | ~ ( c3_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c2_1 @ X53 )
        | ~ ( c3_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl2116,plain,
    ( ( ( c0_1 @ a2528 )
      | ~ ( c2_1 @ a2528 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c2_1 @ X53 )
          | ~ ( c3_1 @ X53 ) )
      & ( c3_1 @ a2528 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl366]) ).

thf('137',plain,
    ( ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c2_1 @ X53 )
          | ~ ( c3_1 @ X53 ) )
    | ~ ( c2_1 @ a2528 )
    | ( c0_1 @ a2528 )
    | ~ ( c3_1 @ a2528 ) ),
    inference(split,[status(esa)],[zip_derived_cl2116]) ).

thf(zip_derived_cl668_081,plain,
    ( ( c3_1 @ a2528 )
   <= ( c3_1 @ a2528 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl64,plain,
    ! [X94: $i] :
      ( ( c0_1 @ X94 )
      | ( c1_1 @ X94 )
      | ~ ( c3_1 @ X94 )
      | ~ ndr1_0
      | hskp6
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl450,plain,
    ( ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ~ ( c3_1 @ X94 ) )
   <= ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ~ ( c3_1 @ X94 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl2325,plain,
    ( ( ( c0_1 @ a2528 )
      | ( c1_1 @ a2528 ) )
   <= ( ! [X94: $i] :
          ( ( c0_1 @ X94 )
          | ( c1_1 @ X94 )
          | ~ ( c3_1 @ X94 ) )
      & ( c3_1 @ a2528 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl450]) ).

thf('138',plain,
    ( ~ ! [X94: $i] :
          ( ( c0_1 @ X94 )
          | ( c1_1 @ X94 )
          | ~ ( c3_1 @ X94 ) )
    | ( c0_1 @ a2528 )
    | ( c1_1 @ a2528 )
    | ~ ( c3_1 @ a2528 ) ),
    inference(split,[status(esa)],[zip_derived_cl2325]) ).

thf(zip_derived_cl668_082,plain,
    ( ( c3_1 @ a2528 )
   <= ( c3_1 @ a2528 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl331_083,plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1844,plain,
    ( ( ( c1_1 @ a2528 )
      | ( c2_1 @ a2528 ) )
   <= ( ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
      & ( c3_1 @ a2528 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl331]) ).

thf('139',plain,
    ( ~ ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
    | ( c2_1 @ a2528 )
    | ( c1_1 @ a2528 )
    | ~ ( c3_1 @ a2528 ) ),
    inference(split,[status(esa)],[zip_derived_cl1844]) ).

thf('140',plain,
    ( ( c3_1 @ a2528 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a2528 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('141',plain,
    ( ~ ( c0_1 @ a2528 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp10
    | ~ ( c1_1 @ a2528 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('142',plain,
    ( ~ ( c1_1 @ a2528 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf('143',plain,
    ( hskp10
    | hskp29
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl512_084,plain,
    ( ( c2_1 @ a2558 )
   <= ( c2_1 @ a2558 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl242_085,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl226_086,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_cl8]) ).

thf(zip_derived_cl788,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl226]) ).

thf(zip_derived_cl790,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl788]) ).

thf(zip_derived_cl1439,plain,
    ( ( ~ ( c1_1 @ a2558 )
      | ~ ( c0_1 @ a2558 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c2_1 @ a2558 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl790]) ).

thf('144',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c1_1 @ a2558 )
    | ~ ( c2_1 @ a2558 )
    | ~ ( c0_1 @ a2558 ) ),
    inference(split,[status(esa)],[zip_derived_cl1439]) ).

thf(zip_derived_cl512_087,plain,
    ( ( c2_1 @ a2558 )
   <= ( c2_1 @ a2558 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl246_088,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl226_089,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_cl8]) ).

thf(zip_derived_cl792,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl246,zip_derived_cl226]) ).

thf(zip_derived_cl794,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl792]) ).

thf(zip_derived_cl1441,plain,
    ( ( ~ ( c0_1 @ a2558 )
      | ~ ( c1_1 @ a2558 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
      & ( c2_1 @ a2558 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl794]) ).

thf('145',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
    | ~ ( c1_1 @ a2558 )
    | ~ ( c2_1 @ a2558 )
    | ~ ( c0_1 @ a2558 ) ),
    inference(split,[status(esa)],[zip_derived_cl1441]) ).

thf(zip_derived_cl512_090,plain,
    ( ( c2_1 @ a2558 )
   <= ( c2_1 @ a2558 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl235,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1443,plain,
    ( ( ~ ( c0_1 @ a2558 )
      | ~ ( c1_1 @ a2558 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c2_1 @ a2558 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl235]) ).

thf('146',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a2558 )
    | ~ ( c1_1 @ a2558 )
    | ~ ( c2_1 @ a2558 ) ),
    inference(split,[status(esa)],[zip_derived_cl1443]) ).

thf('147',plain,
    ( ( c0_1 @ a2558 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl708,plain,
    ( ( c2_1 @ a2522 )
   <= ( c2_1 @ a2522 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl463_091,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_cl67]) ).

thf(zip_derived_cl2350,plain,
    ( ( ( c0_1 @ a2522 )
      | ( c1_1 @ a2522 ) )
   <= ( ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ~ ( c2_1 @ X99 ) )
      & ( c2_1 @ a2522 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl708,zip_derived_cl463]) ).

thf('148',plain,
    ( ( c1_1 @ a2522 )
    | ~ ( c2_1 @ a2522 )
    | ~ ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ~ ( c2_1 @ X99 ) )
    | ( c0_1 @ a2522 ) ),
    inference(split,[status(esa)],[zip_derived_cl2350]) ).

thf('149',plain,
    ( hskp29
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp27
    | ( c1_1 @ a2614 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ( c1_1 @ a2614 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf('151',plain,
    ( ~ ( c3_1 @ a2614 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl31,plain,
    ! [X32: $i] :
      ( ( c1_1 @ X32 )
      | ( c3_1 @ X32 )
      | ~ ( c0_1 @ X32 )
      | ~ ndr1_0
      | hskp29
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('152',plain,
    ( hskp2
    | hskp29
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl736_092,plain,
    ( ~ ( c3_1 @ a2518 )
   <= ~ ( c3_1 @ a2518 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl238_093,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1042,plain,
    ( ( ~ ( c1_1 @ a2518 )
      | ~ ( c2_1 @ a2518 ) )
   <= ( ~ ( c3_1 @ a2518 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl238]) ).

thf('153',plain,
    ( ~ ( c2_1 @ a2518 )
    | ~ ( c1_1 @ a2518 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ( c3_1 @ a2518 ) ),
    inference(split,[status(esa)],[zip_derived_cl1042]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp2
    | ( c1_1 @ a2518 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('154',plain,
    ( ( c1_1 @ a2518 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf('155',plain,
    ( ~ ( c3_1 @ a2518 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl350_094,plain,
    ( ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl736_095,plain,
    ( ~ ( c3_1 @ a2518 )
   <= ~ ( c3_1 @ a2518 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl1660,plain,
    ( ( ~ ( c1_1 @ a2518 )
      | ( c2_1 @ a2518 ) )
   <= ( ~ ( c3_1 @ a2518 )
      & ! [X46: $i] :
          ( ( c2_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c1_1 @ X46 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl736]) ).

thf('156',plain,
    ( ( c2_1 @ a2518 )
    | ~ ! [X46: $i] :
          ( ( c2_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c1_1 @ X46 ) )
    | ( c3_1 @ a2518 )
    | ~ ( c1_1 @ a2518 ) ),
    inference(split,[status(esa)],[zip_derived_cl1660]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp17
    | ( c3_1 @ a2541 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('157',plain,
    ( ( c3_1 @ a2541 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a2541 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('158',plain,
    ( ~ ( c1_1 @ a2541 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl612,plain,
    ( ( c3_1 @ a2541 )
   <= ( c3_1 @ a2541 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl331_096,plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1768,plain,
    ( ( ( c1_1 @ a2541 )
      | ( c2_1 @ a2541 ) )
   <= ( ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
      & ( c3_1 @ a2541 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl612,zip_derived_cl331]) ).

thf('159',plain,
    ( ~ ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
    | ( c1_1 @ a2541 )
    | ( c2_1 @ a2541 )
    | ~ ( c3_1 @ a2541 ) ),
    inference(split,[status(esa)],[zip_derived_cl1768]) ).

thf(zip_derived_cl58,plain,
    ! [X83: $i,X84: $i] :
      ( ( c0_1 @ X83 )
      | ( c2_1 @ X83 )
      | ~ ( c3_1 @ X83 )
      | ~ ndr1_0
      | ( c1_1 @ X84 )
      | ( c2_1 @ X84 )
      | ~ ( c3_1 @ X84 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('160',plain,
    ( hskp11
    | ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) )
    | ~ ndr1_0
    | ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl678_097,plain,
    ( ( c3_1 @ a2526 )
   <= ( c3_1 @ a2526 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl419_098,plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl2244,plain,
    ( ( ( c0_1 @ a2526 )
      | ( c2_1 @ a2526 ) )
   <= ( ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) )
      & ( c3_1 @ a2526 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl419]) ).

thf('161',plain,
    ( ( c2_1 @ a2526 )
    | ( c0_1 @ a2526 )
    | ~ ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) )
    | ~ ( c3_1 @ a2526 ) ),
    inference(split,[status(esa)],[zip_derived_cl2244]) ).

thf('162',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a2526 )
    | ~ ( c3_1 @ a2526 )
    | ~ ( c1_1 @ a2526 ) ),
    inference(split,[status(esa)],[zip_derived_cl1897]) ).

thf(zip_derived_cl17,plain,
    ! [X12: $i] :
      ( ( c2_1 @ X12 )
      | ~ ( c0_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ndr1_0
      | hskp30
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('163',plain,
    ( hskp30
    | hskp9
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl104,plain,
    ( ~ hskp24
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( ndr1_0
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl104]) ).

thf(zip_derived_cl200,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('165',plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl200]) ).

thf(zip_derived_cl3,plain,
    ( hskp24
    | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( hskp0
    | hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp21
    | ( c0_1 @ a2551 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('167',plain,
    ( ( c0_1 @ a2551 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp21
    | ( c1_1 @ a2551 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('168',plain,
    ( ( c1_1 @ a2551 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf('169',plain,
    ( ~ ( c2_1 @ a2551 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl542_099,plain,
    ( ( c3_1 @ a2601 )
   <= ( c3_1 @ a2601 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl290_100,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1612,plain,
    ( ( ( c1_1 @ a2601 )
      | ~ ( c0_1 @ a2601 ) )
   <= ( ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
      & ( c3_1 @ a2601 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl290]) ).

thf('170',plain,
    ( ( c1_1 @ a2601 )
    | ~ ( c3_1 @ a2601 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
    | ~ ( c0_1 @ a2601 ) ),
    inference(split,[status(esa)],[zip_derived_cl1612]) ).

thf(zip_derived_cl407_101,plain,
    ( ! [X73: $i] :
        ( ( c1_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c2_1 @ X73 ) )
   <= ! [X73: $i] :
        ( ( c1_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c2_1 @ X73 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl744_102,plain,
    ( ~ ( c3_1 @ a2517 )
   <= ~ ( c3_1 @ a2517 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl2272,plain,
    ( ( ~ ( c2_1 @ a2517 )
      | ( c1_1 @ a2517 ) )
   <= ( ~ ( c3_1 @ a2517 )
      & ! [X73: $i] :
          ( ( c1_1 @ X73 )
          | ( c3_1 @ X73 )
          | ~ ( c2_1 @ X73 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl744]) ).

thf('171',plain,
    ( ~ ! [X73: $i] :
          ( ( c1_1 @ X73 )
          | ( c3_1 @ X73 )
          | ~ ( c2_1 @ X73 ) )
    | ( c1_1 @ a2517 )
    | ~ ( c2_1 @ a2517 )
    | ( c3_1 @ a2517 ) ),
    inference(split,[status(esa)],[zip_derived_cl2272]) ).

thf(zip_derived_cl403_103,plain,
    ( ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c3_1 @ X70 )
        | ~ ( c2_1 @ X70 ) )
   <= ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c3_1 @ X70 )
        | ~ ( c2_1 @ X70 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl744_104,plain,
    ( ~ ( c3_1 @ a2517 )
   <= ~ ( c3_1 @ a2517 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl2196,plain,
    ( ( ~ ( c2_1 @ a2517 )
      | ( c0_1 @ a2517 ) )
   <= ( ~ ( c3_1 @ a2517 )
      & ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c3_1 @ X70 )
          | ~ ( c2_1 @ X70 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl744]) ).

thf('172',plain,
    ( ~ ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c3_1 @ X70 )
          | ~ ( c2_1 @ X70 ) )
    | ( c0_1 @ a2517 )
    | ( c3_1 @ a2517 )
    | ~ ( c2_1 @ a2517 ) ),
    inference(split,[status(esa)],[zip_derived_cl2196]) ).

thf(zip_derived_cl744_105,plain,
    ( ~ ( c3_1 @ a2517 )
   <= ~ ( c3_1 @ a2517 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl238_106,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1050,plain,
    ( ( ~ ( c1_1 @ a2517 )
      | ~ ( c2_1 @ a2517 ) )
   <= ( ~ ( c3_1 @ a2517 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl744,zip_derived_cl238]) ).

thf('173',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c1_1 @ a2517 )
    | ~ ( c2_1 @ a2517 )
    | ( c3_1 @ a2517 ) ),
    inference(split,[status(esa)],[zip_derived_cl1050]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp26
    | ~ ( c2_1 @ a2601 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('174',plain,
    ( ~ hskp26
    | ~ ( c2_1 @ a2601 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl16,plain,
    ! [X11: $i] :
      ( ( c2_1 @ X11 )
      | ~ ( c0_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ndr1_0
      | hskp24
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl258,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl544,plain,
    ( ~ ( c2_1 @ a2601 )
   <= ~ ( c2_1 @ a2601 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl863,plain,
    ( ( ~ ( c1_1 @ a2601 )
      | ~ ( c0_1 @ a2601 ) )
   <= ( ~ ( c2_1 @ a2601 )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl544]) ).

thf('175',plain,
    ( ( c2_1 @ a2601 )
    | ~ ( c0_1 @ a2601 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c1_1 @ a2601 ) ),
    inference(split,[status(esa)],[zip_derived_cl863]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp26
    | ( c0_1 @ a2601 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('176',plain,
    ( ~ hskp26
    | ( c0_1 @ a2601 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf('177',plain,
    ( ( c3_1 @ a2601 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl196,plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('178',plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl196]) ).

thf('179',plain,
    ( ( c2_1 @ a2517 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl198,plain,
    ( ~ hskp1
    | ~ ( c0_1 @ a2517 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('180',plain,
    ( ~ ( c0_1 @ a2517 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf('181',plain,
    ( ~ ( c3_1 @ a2517 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl7,plain,
    ( hskp30
    | hskp21
    | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('182',plain,
    ( hskp30
    | hskp26
    | hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl6,plain,
    ( hskp21
    | hskp18
    | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('183',plain,
    ( hskp1
    | hskp21
    | hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf('184',plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
    | ! [X73: $i] :
        ( ( c1_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c2_1 @ X73 ) )
    | ~ ndr1_0
    | ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c3_1 @ X70 )
        | ~ ( c2_1 @ X70 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl584_107,plain,
    ( ~ ( c2_1 @ a2551 )
   <= ~ ( c2_1 @ a2551 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl258_108,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl899,plain,
    ( ( ~ ( c0_1 @ a2551 )
      | ~ ( c1_1 @ a2551 ) )
   <= ( ~ ( c2_1 @ a2551 )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl584,zip_derived_cl258]) ).

thf('185',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c0_1 @ a2551 )
    | ( c2_1 @ a2551 )
    | ~ ( c1_1 @ a2551 ) ),
    inference(split,[status(esa)],[zip_derived_cl899]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp30
    | ( c1_1 @ a2558 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('186',plain,
    ( ( c1_1 @ a2558 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf('187',plain,
    ( ( c2_1 @ a2558 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl512_109,plain,
    ( ( c2_1 @ a2558 )
   <= ( c2_1 @ a2558 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl238_110,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl226_111,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_cl8]) ).

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 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl226]) ).

thf(zip_derived_cl784,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl782]) ).

thf(zip_derived_cl1437,plain,
    ( ~ ( c1_1 @ a2558 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ( c2_1 @ a2558 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl784]) ).

thf(zip_derived_cl510,plain,
    ( ( c1_1 @ a2558 )
   <= ( c1_1 @ a2558 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf('188',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c2_1 @ a2558 )
    | ~ ( c1_1 @ a2558 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1437,zip_derived_cl510]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp18
    | ( c2_1 @ a2545 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl606,plain,
    ( ( c2_1 @ a2545 )
   <= ( c2_1 @ a2545 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl784_112,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl782]) ).

thf(zip_derived_cl1748,plain,
    ( ~ ( c1_1 @ a2545 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ( c2_1 @ a2545 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl606,zip_derived_cl784]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp18
    | ( c1_1 @ a2545 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl604,plain,
    ( ( c1_1 @ a2545 )
   <= ( c1_1 @ a2545 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf('189',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c2_1 @ a2545 )
    | ~ ( c1_1 @ a2545 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1748,zip_derived_cl604]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp11
    | ( c1_1 @ a2531 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('190',plain,
    ( ( c1_1 @ a2531 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp11
    | ( c2_1 @ a2531 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('191',plain,
    ( ( c2_1 @ a2531 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a2531 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('192',plain,
    ( ~ ( c3_1 @ a2531 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl664,plain,
    ( ~ ( c3_1 @ a2531 )
   <= ~ ( c3_1 @ a2531 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl238_113,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl964,plain,
    ( ( ~ ( c1_1 @ a2531 )
      | ~ ( c2_1 @ a2531 ) )
   <= ( ~ ( c3_1 @ a2531 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl664,zip_derived_cl238]) ).

thf('193',plain,
    ( ~ ( c2_1 @ a2531 )
    | ( c3_1 @ a2531 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c1_1 @ a2531 ) ),
    inference(split,[status(esa)],[zip_derived_cl964]) ).

thf(zip_derived_cl350_114,plain,
    ( ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl536_115,plain,
    ( ~ ( c3_1 @ a2614 )
   <= ~ ( c3_1 @ a2614 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl1670,plain,
    ( ( ~ ( c1_1 @ a2614 )
      | ( c2_1 @ a2614 ) )
   <= ( ~ ( c3_1 @ a2614 )
      & ! [X46: $i] :
          ( ( c2_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c1_1 @ X46 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl536]) ).

thf('194',plain,
    ( ~ ! [X46: $i] :
          ( ( c2_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c1_1 @ X46 ) )
    | ( c2_1 @ a2614 )
    | ( c3_1 @ a2614 )
    | ~ ( c1_1 @ a2614 ) ),
    inference(split,[status(esa)],[zip_derived_cl1670]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp29
    | ( c1_1 @ a2556 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('195',plain,
    ( ( c1_1 @ a2556 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp29
    | ( c2_1 @ a2556 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('196',plain,
    ( ( c2_1 @ a2556 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf('197',plain,
    ( ( c3_1 @ a2556 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl520_116,plain,
    ( ( c3_1 @ a2556 )
   <= ( c3_1 @ a2556 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl226_117,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_cl8]) ).

thf(zip_derived_cl1487,plain,
    ( ( ~ ( c1_1 @ a2556 )
      | ~ ( c2_1 @ a2556 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a2556 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl226]) ).

thf('198',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a2556 )
    | ~ ( c3_1 @ a2556 )
    | ~ ( c1_1 @ a2556 ) ),
    inference(split,[status(esa)],[zip_derived_cl1487]) ).

thf(zip_derived_cl558,plain,
    ( ( c2_1 @ a2555 )
   <= ( c2_1 @ a2555 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl306_118,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1625,plain,
    ( ( ( c1_1 @ a2555 )
      | ~ ( c0_1 @ a2555 ) )
   <= ( ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
      & ( c2_1 @ a2555 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl558,zip_derived_cl306]) ).

thf('199',plain,
    ( ~ ( c2_1 @ a2555 )
    | ( c1_1 @ a2555 )
    | ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ~ ( c0_1 @ a2555 ) ),
    inference(split,[status(esa)],[zip_derived_cl1625]) ).

thf('200',plain,
    ( ( c1_1 @ a2545 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf('201',plain,
    ( ( c2_1 @ a2545 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp18
    | ~ ( c0_1 @ a2545 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('202',plain,
    ( ~ ( c0_1 @ a2545 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl606_119,plain,
    ( ( c2_1 @ a2545 )
   <= ( c2_1 @ a2545 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl390_120,plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ~ ( c1_1 @ X64 )
        | ~ ( c2_1 @ X64 ) )
   <= ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ~ ( c1_1 @ X64 )
        | ~ ( c2_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl2174,plain,
    ( ( ( c0_1 @ a2545 )
      | ~ ( c1_1 @ a2545 ) )
   <= ( ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ~ ( c1_1 @ X64 )
          | ~ ( c2_1 @ X64 ) )
      & ( c2_1 @ a2545 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl606,zip_derived_cl390]) ).

thf('203',plain,
    ( ~ ( c2_1 @ a2545 )
    | ( c0_1 @ a2545 )
    | ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ~ ( c1_1 @ X64 )
          | ~ ( c2_1 @ X64 ) )
    | ~ ( c1_1 @ a2545 ) ),
    inference(split,[status(esa)],[zip_derived_cl2174]) ).

thf(zip_derived_cl73,plain,
    ! [X114: $i,X115: $i,X116: $i] :
      ( ( c0_1 @ X114 )
      | ( c1_1 @ X114 )
      | ( c3_1 @ X114 )
      | ~ ndr1_0
      | ( c0_1 @ X115 )
      | ( c3_1 @ X115 )
      | ~ ( c1_1 @ X115 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X116 )
      | ~ ( c1_1 @ X116 )
      | ~ ( c2_1 @ X116 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('204',plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | ! [X112: $i] :
        ( ( c0_1 @ X112 )
        | ( c1_1 @ X112 )
        | ( c3_1 @ X112 ) )
    | ~ ndr1_0
    | ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl50,plain,
    ! [X65: $i,X66: $i,X67: $i] :
      ( ( c0_1 @ X65 )
      | ~ ( c1_1 @ X65 )
      | ~ ( c2_1 @ X65 )
      | ~ ndr1_0
      | ( c1_1 @ X66 )
      | ( c2_1 @ X66 )
      | ~ ( c3_1 @ X66 )
      | ~ ndr1_0
      | ( c1_1 @ X67 )
      | ( c3_1 @ X67 )
      | ~ ( c0_1 @ X67 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('205',plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
    | ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ~ ( c1_1 @ X64 )
        | ~ ( c2_1 @ X64 ) )
    | ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp23
    | ( c0_1 @ a2553 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('206',plain,
    ( ( c0_1 @ a2553 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp23
    | ~ ( c1_1 @ a2553 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('207',plain,
    ( ~ ( c1_1 @ a2553 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('208',plain,
    ( ~ ( c3_1 @ a2553 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl314_121,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl568_122,plain,
    ( ~ ( c3_1 @ a2553 )
   <= ~ ( c3_1 @ a2553 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1273,plain,
    ( ( ~ ( c0_1 @ a2553 )
      | ( c1_1 @ a2553 ) )
   <= ( ~ ( c3_1 @ a2553 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c0_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl568]) ).

thf('209',plain,
    ( ( c1_1 @ a2553 )
    | ( c3_1 @ a2553 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
    | ~ ( c0_1 @ a2553 ) ),
    inference(split,[status(esa)],[zip_derived_cl1273]) ).

thf(zip_derived_cl2,plain,
    ( hskp23
    | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('210',plain,
    ( hskp27
    | hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf('211',plain,
    ( ~ ( c2_1 @ a2614 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl439_123,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ( c3_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ( c3_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl536_124,plain,
    ( ~ ( c3_1 @ a2614 )
   <= ~ ( c3_1 @ a2614 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl2507,plain,
    ( ( ( c2_1 @ a2614 )
      | ( c0_1 @ a2614 ) )
   <= ( ~ ( c3_1 @ a2614 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c2_1 @ X88 )
          | ( c3_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl536]) ).

thf('212',plain,
    ( ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c2_1 @ X88 )
          | ( c3_1 @ X88 ) )
    | ( c2_1 @ a2614 )
    | ( c3_1 @ a2614 )
    | ( c0_1 @ a2614 ) ),
    inference(split,[status(esa)],[zip_derived_cl2507]) ).

thf(zip_derived_cl62,plain,
    ! [X90: $i,X91: $i] :
      ( ( c0_1 @ X90 )
      | ( c2_1 @ X90 )
      | ( c3_1 @ X90 )
      | ~ ndr1_0
      | ( c2_1 @ X91 )
      | ( c3_1 @ X91 )
      | ~ ( c1_1 @ X91 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('213',plain,
    ( hskp9
    | ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ( c3_1 @ X88 ) )
    | ~ ndr1_0
    | ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp9
    | ( c1_1 @ a2526 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('214',plain,
    ( ( c1_1 @ a2526 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf('215',plain,
    ( ( c3_1 @ a2526 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp9
    | ~ ( c0_1 @ a2526 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('216',plain,
    ( ~ ( c0_1 @ a2526 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl678_125,plain,
    ( ( c3_1 @ a2526 )
   <= ( c3_1 @ a2526 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl378_126,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl2147,plain,
    ( ( ( c0_1 @ a2526 )
      | ~ ( c1_1 @ a2526 ) )
   <= ( ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
      & ( c3_1 @ a2526 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl378]) ).

thf('217',plain,
    ( ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
    | ~ ( c3_1 @ a2526 )
    | ( c0_1 @ a2526 )
    | ~ ( c1_1 @ a2526 ) ),
    inference(split,[status(esa)],[zip_derived_cl2147]) ).

thf(zip_derived_cl47,plain,
    ! [X60: $i,X61: $i] :
      ( ( c0_1 @ X60 )
      | ~ ( c1_1 @ X60 )
      | ~ ( c3_1 @ X60 )
      | ~ ndr1_0
      | ( c2_1 @ X61 )
      | ( c3_1 @ X61 )
      | ~ ( c1_1 @ X61 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('218',plain,
    ( hskp17
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) )
    | ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a2541 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('219',plain,
    ( ~ ( c2_1 @ a2541 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl612_127,plain,
    ( ( c3_1 @ a2541 )
   <= ( c3_1 @ a2541 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl419_128,plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl2247,plain,
    ( ( ( c0_1 @ a2541 )
      | ( c2_1 @ a2541 ) )
   <= ( ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) )
      & ( c3_1 @ a2541 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl612,zip_derived_cl419]) ).

thf('220',plain,
    ( ( c0_1 @ a2541 )
    | ( c2_1 @ a2541 )
    | ~ ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) )
    | ~ ( c3_1 @ a2541 ) ),
    inference(split,[status(esa)],[zip_derived_cl2247]) ).

thf(zip_derived_cl342_129,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_cl37]) ).

thf(zip_derived_cl616,plain,
    ( ~ ( c2_1 @ a2541 )
   <= ~ ( c2_1 @ a2541 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl1540,plain,
    ( ( ~ ( c0_1 @ a2541 )
      | ( c1_1 @ a2541 ) )
   <= ( ~ ( c2_1 @ a2541 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl342,zip_derived_cl616]) ).

thf('221',plain,
    ( ~ ( c0_1 @ a2541 )
    | ( c2_1 @ a2541 )
    | ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) )
    | ( c1_1 @ a2541 ) ),
    inference(split,[status(esa)],[zip_derived_cl1540]) ).

thf(zip_derived_cl8436,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYN489+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.10  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UCaov4KJwZ true
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 300
% 0.10/0.29  % DateTime : Sat Aug 26 21:23:44 EDT 2023
% 0.10/0.29  % CPUTime  : 
% 0.10/0.29  % Running portfolio for 300 s
% 0.10/0.29  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.30  % Number of cores: 8
% 0.10/0.30  % Python version: Python 3.6.8
% 0.10/0.30  % Running in FO mode
% 0.15/0.47  % Total configuration time : 435
% 0.15/0.47  % Estimated wc time : 1092
% 0.15/0.47  % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.54  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.55  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.55  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.55  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.55  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.56  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.56  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.47/1.54  % Solved by fo/fo1_av.sh.
% 7.47/1.54  % done 2420 iterations in 0.935s
% 7.47/1.54  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.47/1.54  % SZS output start Refutation
% See solution above
% 7.47/1.55  
% 7.47/1.55  
% 7.47/1.55  % Terminating...
% 7.47/1.59  % Runner terminated.
% 7.47/1.60  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------