TSTP Solution File: SYN440+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN440+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.eBZjYRh8pz true

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:03:29 EDT 2023

% Result   : Theorem 66.55s 10.26s
% Output   : Refutation 66.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  140
% Syntax   : Number of formulae    :  977 (   1 unt; 139 typ;   0 def)
%            Number of atoms       : 5400 (   0 equ;   0 cnn)
%            Maximal formula atoms :  805 (   6 avg)
%            Number of connectives : 11660 (2830   ~;3197   |; 799   &;4268   @)
%                                         (   0 <=>; 194  =>; 372  <=;   0 <~>)
%            Maximal formula depth :  136 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  140 ( 139 usr; 136 con; 0-1 aty)
%            Number of variables   :  901 (   0   ^; 901   !;   0   ?; 901   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a662_type,type,
    a662: $i ).

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

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

thf(a603_type,type,
    a603: $i ).

thf(hskp60_type,type,
    hskp60: $o ).

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

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

thf(a605_type,type,
    a605: $i ).

thf(a672_type,type,
    a672: $i ).

thf(a666_type,type,
    a666: $i ).

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

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

thf(a618_type,type,
    a618: $i ).

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

thf(a616_type,type,
    a616: $i ).

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

thf(a642_type,type,
    a642: $i ).

thf(a626_type,type,
    a626: $i ).

thf(a656_type,type,
    a656: $i ).

thf(a627_type,type,
    a627: $i ).

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

thf(a670_type,type,
    a670: $i ).

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

thf(a607_type,type,
    a607: $i ).

thf(a597_type,type,
    a597: $i ).

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

thf(a602_type,type,
    a602: $i ).

thf(a609_type,type,
    a609: $i ).

thf(a663_type,type,
    a663: $i ).

thf(a665_type,type,
    a665: $i ).

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

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

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

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

thf(a611_type,type,
    a611: $i ).

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

thf(a598_type,type,
    a598: $i ).

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

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

thf(a604_type,type,
    a604: $i ).

thf(a634_type,type,
    a634: $i ).

thf(a638_type,type,
    a638: $i ).

thf(a617_type,type,
    a617: $i ).

thf(a600_type,type,
    a600: $i ).

thf(hskp64_type,type,
    hskp64: $o ).

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

thf(a641_type,type,
    a641: $i ).

thf(hskp66_type,type,
    hskp66: $o ).

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

thf(a660_type,type,
    a660: $i ).

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

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

thf(a644_type,type,
    a644: $i ).

thf(a623_type,type,
    a623: $i ).

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

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

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

thf(a615_type,type,
    a615: $i ).

thf(a651_type,type,
    a651: $i ).

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

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

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

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

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

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

thf(hskp61_type,type,
    hskp61: $o ).

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

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

thf(a667_type,type,
    a667: $i ).

thf(a671_type,type,
    a671: $i ).

thf(a677_type,type,
    a677: $i ).

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

thf(a613_type,type,
    a613: $i ).

thf(a620_type,type,
    a620: $i ).

thf(a632_type,type,
    a632: $i ).

thf(a599_type,type,
    a599: $i ).

thf(a621_type,type,
    a621: $i ).

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

thf(a637_type,type,
    a637: $i ).

thf(a652_type,type,
    a652: $i ).

thf(a628_type,type,
    a628: $i ).

thf(a648_type,type,
    a648: $i ).

thf(a625_type,type,
    a625: $i ).

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

thf(hskp59_type,type,
    hskp59: $o ).

thf(a635_type,type,
    a635: $i ).

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

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

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

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

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

thf(a639_type,type,
    a639: $i ).

thf(a610_type,type,
    a610: $i ).

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

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

thf(a646_type,type,
    a646: $i ).

thf(a612_type,type,
    a612: $i ).

thf(a622_type,type,
    a622: $i ).

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

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

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

thf(a640_type,type,
    a640: $i ).

thf(a624_type,type,
    a624: $i ).

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

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

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

thf(a674_type,type,
    a674: $i ).

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

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

thf(a606_type,type,
    a606: $i ).

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

thf(a619_type,type,
    a619: $i ).

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

thf(a643_type,type,
    a643: $i ).

thf(a636_type,type,
    a636: $i ).

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

thf(hskp62_type,type,
    hskp62: $o ).

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

thf(hskp63_type,type,
    hskp63: $o ).

thf(a614_type,type,
    a614: $i ).

thf(a675_type,type,
    a675: $i ).

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

thf(a653_type,type,
    a653: $i ).

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

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

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

thf(a601_type,type,
    a601: $i ).

thf(a608_type,type,
    a608: $i ).

thf(a654_type,type,
    a654: $i ).

thf(a647_type,type,
    a647: $i ).

thf(a669_type,type,
    a669: $i ).

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

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

thf(hskp65_type,type,
    hskp65: $o ).

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

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

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

thf(a658_type,type,
    a658: $i ).

thf(a673_type,type,
    a673: $i ).

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c0_1 @ a597 )
          & ~ ( c3_1 @ a597 )
          & ~ ( c1_1 @ a597 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c0_1 @ a598 )
          & ( c2_1 @ a598 )
          & ~ ( c1_1 @ a598 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c0_1 @ a601 )
          & ~ ( c2_1 @ a601 )
          & ~ ( c3_1 @ a601 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c0_1 @ a603 )
          & ~ ( c1_1 @ a603 )
          & ~ ( c3_1 @ a603 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ ( c2_1 @ a604 )
          & ~ ( c0_1 @ a604 )
          & ~ ( c3_1 @ a604 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ ( c0_1 @ a606 )
          & ( c2_1 @ a606 )
          & ~ ( c3_1 @ a606 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c2_1 @ a609 )
          & ~ ( c0_1 @ a609 )
          & ~ ( c1_1 @ a609 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c1_1 @ a610 )
          & ~ ( c2_1 @ a610 )
          & ~ ( c0_1 @ a610 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ ( c2_1 @ a612 )
          & ( c3_1 @ a612 )
          & ~ ( c1_1 @ a612 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c1_1 @ a613 )
          & ( c2_1 @ a613 )
          & ~ ( c3_1 @ a613 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c0_1 @ a615 )
          & ( c3_1 @ a615 )
          & ~ ( c2_1 @ a615 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c0_1 @ a616 )
          & ( c1_1 @ a616 )
          & ~ ( c2_1 @ a616 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ ( c0_1 @ a620 )
          & ~ ( c3_1 @ a620 )
          & ~ ( c1_1 @ a620 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ~ ( c1_1 @ a622 )
          & ~ ( c2_1 @ a622 )
          & ~ ( c0_1 @ a622 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c3_1 @ a624 )
          & ~ ( c1_1 @ a624 )
          & ~ ( c2_1 @ a624 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ~ ( c2_1 @ a625 )
          & ~ ( c1_1 @ a625 )
          & ~ ( c0_1 @ a625 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c2_1 @ a627 )
          & ( c0_1 @ a627 )
          & ~ ( c3_1 @ a627 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c3_1 @ a628 )
          & ~ ( c2_1 @ a628 )
          & ~ ( c1_1 @ a628 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c0_1 @ a632 )
          & ( c3_1 @ a632 )
          & ~ ( c1_1 @ a632 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ ( c1_1 @ a634 )
          & ~ ( c0_1 @ a634 )
          & ~ ( c3_1 @ a634 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ ( c1_1 @ a635 )
          & ~ ( c2_1 @ a635 )
          & ~ ( c3_1 @ a635 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c1_1 @ a637 )
          & ( c0_1 @ a637 )
          & ~ ( c3_1 @ a637 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c0_1 @ a641 )
          & ~ ( c1_1 @ a641 )
          & ~ ( c2_1 @ a641 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c2_1 @ a642 )
          & ( c3_1 @ a642 )
          & ~ ( c0_1 @ a642 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ ( c0_1 @ a643 )
          & ( c3_1 @ a643 )
          & ~ ( c1_1 @ a643 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c3_1 @ a646 )
          & ~ ( c2_1 @ a646 )
          & ~ ( c0_1 @ a646 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ ( c1_1 @ a652 )
          & ( c3_1 @ a652 )
          & ~ ( c2_1 @ a652 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ ( c3_1 @ a654 )
          & ~ ( c0_1 @ a654 )
          & ~ ( c1_1 @ a654 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ~ ( c3_1 @ a656 )
          & ( c1_1 @ a656 )
          & ~ ( c0_1 @ a656 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ~ ( c1_1 @ a660 )
          & ~ ( c3_1 @ a660 )
          & ~ ( c0_1 @ a660 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ~ ( c2_1 @ a666 )
          & ( c0_1 @ a666 )
          & ~ ( c3_1 @ a666 ) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & ~ ( c2_1 @ a667 )
          & ( c1_1 @ a667 )
          & ~ ( c0_1 @ a667 ) ) )
      & ( ~ hskp32
        | ( ndr1_0
          & ( c0_1 @ a677 )
          & ~ ( c3_1 @ a677 )
          & ~ ( c2_1 @ a677 ) ) )
      & ( ~ hskp33
        | ( ndr1_0
          & ~ ( c2_1 @ a599 )
          & ( c0_1 @ a599 )
          & ( c3_1 @ a599 ) ) )
      & ( ~ hskp34
        | ( ndr1_0
          & ~ ( c3_1 @ a600 )
          & ( c2_1 @ a600 )
          & ( c0_1 @ a600 ) ) )
      & ( ~ hskp35
        | ( ndr1_0
          & ~ ( c3_1 @ a602 )
          & ~ ( c1_1 @ a602 )
          & ( c2_1 @ a602 ) ) )
      & ( ~ hskp36
        | ( ndr1_0
          & ( c1_1 @ a605 )
          & ~ ( c3_1 @ a605 )
          & ( c0_1 @ a605 ) ) )
      & ( ~ hskp37
        | ( ndr1_0
          & ( c1_1 @ a607 )
          & ~ ( c2_1 @ a607 )
          & ( c0_1 @ a607 ) ) )
      & ( ~ hskp38
        | ( ndr1_0
          & ( c1_1 @ a608 )
          & ( c3_1 @ a608 )
          & ( c0_1 @ a608 ) ) )
      & ( ~ hskp39
        | ( ndr1_0
          & ~ ( c1_1 @ a611 )
          & ( c3_1 @ a611 )
          & ( c2_1 @ a611 ) ) )
      & ( ~ hskp40
        | ( ndr1_0
          & ( c2_1 @ a614 )
          & ( c1_1 @ a614 )
          & ( c0_1 @ a614 ) ) )
      & ( ~ hskp41
        | ( ndr1_0
          & ( c2_1 @ a617 )
          & ~ ( c1_1 @ a617 )
          & ( c3_1 @ a617 ) ) )
      & ( ~ hskp42
        | ( ndr1_0
          & ~ ( c2_1 @ a618 )
          & ~ ( c3_1 @ a618 )
          & ( c1_1 @ a618 ) ) )
      & ( ~ hskp43
        | ( ndr1_0
          & ~ ( c3_1 @ a619 )
          & ~ ( c1_1 @ a619 )
          & ( c0_1 @ a619 ) ) )
      & ( ~ hskp44
        | ( ndr1_0
          & ( c2_1 @ a621 )
          & ~ ( c0_1 @ a621 )
          & ( c3_1 @ a621 ) ) )
      & ( ~ hskp45
        | ( ndr1_0
          & ~ ( c0_1 @ a623 )
          & ( c3_1 @ a623 )
          & ( c2_1 @ a623 ) ) )
      & ( ~ hskp46
        | ( ndr1_0
          & ( c1_1 @ a626 )
          & ( c0_1 @ a626 )
          & ( c3_1 @ a626 ) ) )
      & ( ~ hskp47
        | ( ndr1_0
          & ~ ( c1_1 @ a636 )
          & ~ ( c0_1 @ a636 )
          & ( c3_1 @ a636 ) ) )
      & ( ~ hskp48
        | ( ndr1_0
          & ~ ( c3_1 @ a638 )
          & ( c1_1 @ a638 )
          & ( c2_1 @ a638 ) ) )
      & ( ~ hskp49
        | ( ndr1_0
          & ~ ( c2_1 @ a639 )
          & ~ ( c0_1 @ a639 )
          & ( c1_1 @ a639 ) ) )
      & ( ~ hskp50
        | ( ndr1_0
          & ~ ( c3_1 @ a640 )
          & ( c1_1 @ a640 )
          & ( c0_1 @ a640 ) ) )
      & ( ~ hskp51
        | ( ndr1_0
          & ( c2_1 @ a644 )
          & ~ ( c3_1 @ a644 )
          & ( c0_1 @ a644 ) ) )
      & ( ~ hskp52
        | ( ndr1_0
          & ~ ( c2_1 @ a647 )
          & ~ ( c1_1 @ a647 )
          & ( c0_1 @ a647 ) ) )
      & ( ~ hskp53
        | ( ndr1_0
          & ( c3_1 @ a648 )
          & ~ ( c2_1 @ a648 )
          & ( c0_1 @ a648 ) ) )
      & ( ~ hskp54
        | ( ndr1_0
          & ( c3_1 @ a651 )
          & ~ ( c0_1 @ a651 )
          & ( c2_1 @ a651 ) ) )
      & ( ~ hskp55
        | ( ndr1_0
          & ~ ( c2_1 @ a653 )
          & ( c3_1 @ a653 )
          & ( c1_1 @ a653 ) ) )
      & ( ~ hskp56
        | ( ndr1_0
          & ~ ( c1_1 @ a658 )
          & ( c2_1 @ a658 )
          & ( c3_1 @ a658 ) ) )
      & ( ~ hskp57
        | ( ndr1_0
          & ~ ( c0_1 @ a662 )
          & ( c1_1 @ a662 )
          & ( c2_1 @ a662 ) ) )
      & ( ~ hskp58
        | ( ndr1_0
          & ~ ( c0_1 @ a663 )
          & ~ ( c1_1 @ a663 )
          & ( c3_1 @ a663 ) ) )
      & ( ~ hskp59
        | ( ndr1_0
          & ~ ( c0_1 @ a665 )
          & ( c2_1 @ a665 )
          & ( c3_1 @ a665 ) ) )
      & ( ~ hskp60
        | ( ndr1_0
          & ( c0_1 @ a669 )
          & ~ ( c2_1 @ a669 )
          & ( c1_1 @ a669 ) ) )
      & ( ~ hskp61
        | ( ndr1_0
          & ~ ( c1_1 @ a670 )
          & ~ ( c0_1 @ a670 )
          & ( c2_1 @ a670 ) ) )
      & ( ~ hskp62
        | ( ndr1_0
          & ~ ( c1_1 @ a671 )
          & ( c3_1 @ a671 )
          & ( c0_1 @ a671 ) ) )
      & ( ~ hskp63
        | ( ndr1_0
          & ~ ( c0_1 @ a672 )
          & ~ ( c2_1 @ a672 )
          & ( c3_1 @ a672 ) ) )
      & ( ~ hskp64
        | ( ndr1_0
          & ( c3_1 @ a673 )
          & ~ ( c0_1 @ a673 )
          & ( c1_1 @ a673 ) ) )
      & ( ~ hskp65
        | ( ndr1_0
          & ( c2_1 @ a674 )
          & ~ ( c1_1 @ a674 )
          & ( c0_1 @ a674 ) ) )
      & ( ~ hskp66
        | ( ndr1_0
          & ( c1_1 @ a675 )
          & ~ ( c2_1 @ a675 )
          & ( c3_1 @ a675 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c2_1 @ U )
              | ~ ( c3_1 @ U )
              | ~ ( c0_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ V )
              | ( c0_1 @ V )
              | ~ ( c3_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ W )
              | ~ ( c2_1 @ W )
              | ( c3_1 @ W ) ) ) )
      & ( hskp0
        | ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ~ ( c3_1 @ X )
              | ( c1_1 @ X ) ) )
        | hskp1 )
      & ( hskp33
        | hskp34
        | hskp2 )
      & ( ! [Y: $i] :
            ( ndr1_0
           => ( ( c2_1 @ Y )
              | ~ ( c0_1 @ Y )
              | ( c1_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ~ ( c3_1 @ Z )
              | ~ ( c2_1 @ Z ) ) )
        | ! [X1: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ~ ( c2_1 @ X1 ) ) ) )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X2 )
              | ( c0_1 @ X2 )
              | ~ ( c2_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c3_1 @ X3 )
              | ~ ( c2_1 @ X3 ) ) )
        | ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ~ ( c1_1 @ X4 )
              | ~ ( c2_1 @ X4 ) ) ) )
      & ( hskp35
        | ! [X5: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X5 )
              | ~ ( c2_1 @ X5 )
              | ~ ( c3_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X6 )
              | ( c2_1 @ X6 )
              | ~ ( c3_1 @ X6 ) ) ) )
      & ( hskp3
        | hskp4
        | hskp36 )
      & ( hskp5
        | ! [X7: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X7 )
              | ~ ( c2_1 @ X7 )
              | ~ ( c3_1 @ X7 ) ) )
        | hskp37 )
      & ( ! [X8: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X8 )
              | ( c0_1 @ X8 )
              | ( c1_1 @ X8 ) ) )
        | ! [X9: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X9 )
              | ( c1_1 @ X9 )
              | ( c3_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ( c2_1 @ X10 ) ) ) )
      & ( hskp38
        | ! [X11: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X11 )
              | ( c1_1 @ X11 )
              | ( c0_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X12 )
              | ~ ( c1_1 @ X12 )
              | ( c0_1 @ X12 ) ) ) )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X13 )
              | ~ ( c3_1 @ X13 )
              | ~ ( c0_1 @ X13 ) ) )
        | hskp6
        | ! [X14: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X14 )
              | ~ ( c0_1 @ X14 )
              | ~ ( c3_1 @ X14 ) ) ) )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X15 )
              | ~ ( c1_1 @ X15 )
              | ~ ( c0_1 @ X15 ) ) )
        | hskp7
        | hskp39 )
      & ( hskp8
        | ! [X16: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X16 )
              | ( c1_1 @ X16 )
              | ( c3_1 @ X16 ) ) )
        | hskp9 )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X17 )
              | ~ ( c3_1 @ X17 )
              | ~ ( c0_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X18 )
              | ( c1_1 @ X18 )
              | ~ ( c0_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X19 )
              | ( c0_1 @ X19 )
              | ( c2_1 @ X19 ) ) ) )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X20 )
              | ~ ( c1_1 @ X20 )
              | ( c2_1 @ X20 ) ) )
        | hskp40
        | hskp10 )
      & ( ! [X21: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X21 )
              | ~ ( c1_1 @ X21 )
              | ~ ( c2_1 @ X21 ) ) )
        | hskp11
        | ! [X22: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X22 )
              | ( c1_1 @ X22 )
              | ( c3_1 @ X22 ) ) ) )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X23 )
              | ( c2_1 @ X23 )
              | ( c0_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X24 )
              | ( c2_1 @ X24 )
              | ~ ( c0_1 @ X24 ) ) )
        | ! [X25: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X25 )
              | ~ ( c2_1 @ X25 )
              | ( c0_1 @ X25 ) ) ) )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X26 )
              | ~ ( c0_1 @ X26 )
              | ( c2_1 @ X26 ) ) )
        | hskp41
        | ! [X27: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X27 )
              | ~ ( c3_1 @ X27 )
              | ( c2_1 @ X27 ) ) ) )
      & ( hskp42
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c1_1 @ X28 )
              | ~ ( c3_1 @ X28 ) ) )
        | ! [X29: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ( c1_1 @ X29 ) ) ) )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X30 )
              | ( c2_1 @ X30 )
              | ~ ( c3_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X31 )
              | ~ ( c0_1 @ X31 )
              | ( c1_1 @ X31 ) ) )
        | ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ~ ( c3_1 @ X32 )
              | ~ ( c2_1 @ X32 ) ) ) )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X33 )
              | ~ ( c1_1 @ X33 )
              | ( c0_1 @ X33 ) ) )
        | ! [X34: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X34 )
              | ( c1_1 @ X34 )
              | ( c0_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X35 )
              | ~ ( c3_1 @ X35 )
              | ( c1_1 @ X35 ) ) ) )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X36 )
              | ~ ( c0_1 @ X36 )
              | ~ ( c1_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X37 )
              | ( c3_1 @ X37 )
              | ~ ( c0_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X38 )
              | ~ ( c0_1 @ X38 )
              | ~ ( c2_1 @ X38 ) ) ) )
      & ( hskp43
        | hskp12
        | ! [X39: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X39 )
              | ~ ( c1_1 @ X39 )
              | ( c2_1 @ X39 ) ) ) )
      & ( hskp44
        | hskp13
        | ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ~ ( c2_1 @ X40 )
              | ~ ( c1_1 @ X40 ) ) ) )
      & ( ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ~ ( c3_1 @ X41 )
              | ~ ( c2_1 @ X41 ) ) )
        | ! [X42: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X42 )
              | ( c3_1 @ X42 )
              | ~ ( c1_1 @ X42 ) ) )
        | hskp45 )
      & ( hskp14
        | hskp15
        | ! [X43: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X43 )
              | ( c1_1 @ X43 )
              | ~ ( c0_1 @ X43 ) ) ) )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X44 )
              | ( c1_1 @ X44 )
              | ( c0_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X45 )
              | ( c0_1 @ X45 )
              | ( c1_1 @ X45 ) ) )
        | ! [X46: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X46 )
              | ~ ( c2_1 @ X46 )
              | ( c1_1 @ X46 ) ) ) )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X47 )
              | ( c2_1 @ X47 )
              | ( c3_1 @ X47 ) ) )
        | ! [X48: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X48 )
              | ~ ( c0_1 @ X48 )
              | ~ ( c3_1 @ X48 ) ) )
        | hskp46 )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X49 )
              | ( c1_1 @ X49 )
              | ( c3_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X50 )
              | ( c3_1 @ X50 )
              | ( c1_1 @ X50 ) ) )
        | ! [X51: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X51 )
              | ( c3_1 @ X51 )
              | ( c0_1 @ X51 ) ) ) )
      & ( hskp16
        | hskp17
        | hskp9 )
      & ( hskp36
        | ! [X52: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X52 )
              | ( c1_1 @ X52 )
              | ( c2_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X53 )
              | ~ ( c1_1 @ X53 )
              | ~ ( c3_1 @ X53 ) ) ) )
      & ( hskp16
        | ! [X54: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X54 )
              | ( c2_1 @ X54 )
              | ( c0_1 @ X54 ) ) )
        | ! [X55: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X55 )
              | ( c3_1 @ X55 )
              | ~ ( c0_1 @ X55 ) ) ) )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X56 )
              | ~ ( c2_1 @ X56 )
              | ~ ( c3_1 @ X56 ) ) )
        | ! [X57: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X57 )
              | ~ ( c2_1 @ X57 )
              | ~ ( c1_1 @ X57 ) ) )
        | ! [X58: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X58 )
              | ~ ( c2_1 @ X58 )
              | ~ ( c0_1 @ X58 ) ) ) )
      & ( hskp18
        | hskp9
        | hskp19 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X59 )
              | ( c1_1 @ X59 )
              | ~ ( c3_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X60 )
              | ( c2_1 @ X60 )
              | ~ ( c0_1 @ X60 ) ) )
        | hskp20 )
      & ( hskp47
        | ! [X61: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X61 )
              | ( c3_1 @ X61 )
              | ~ ( c0_1 @ X61 ) ) )
        | hskp21 )
      & ( ! [X62: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X62 )
              | ( c0_1 @ X62 )
              | ( c3_1 @ X62 ) ) )
        | ! [X63: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X63 )
              | ( c1_1 @ X63 )
              | ( c0_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X64 )
              | ( c0_1 @ X64 )
              | ( c2_1 @ X64 ) ) ) )
      & ( hskp48
        | ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ( c3_1 @ X65 )
              | ~ ( c0_1 @ X65 ) ) )
        | hskp49 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X66 )
              | ( c2_1 @ X66 )
              | ( c1_1 @ X66 ) ) )
        | hskp50
        | hskp22 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ~ ( c2_1 @ X67 )
              | ~ ( c3_1 @ X67 ) ) )
        | hskp23
        | hskp24 )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ( c0_1 @ X68 )
              | ( c3_1 @ X68 ) ) )
        | hskp51
        | ! [X69: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X69 )
              | ( c0_1 @ X69 )
              | ~ ( c3_1 @ X69 ) ) ) )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X70 )
              | ~ ( c1_1 @ X70 )
              | ( c2_1 @ X70 ) ) )
        | ! [X71: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X71 )
              | ( c1_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | hskp5 )
      & ( hskp25
        | ! [X72: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X72 )
              | ( c2_1 @ X72 )
              | ~ ( c0_1 @ X72 ) ) )
        | hskp52 )
      & ( hskp53
        | hskp17
        | ! [X73: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X73 )
              | ( c1_1 @ X73 )
              | ~ ( c3_1 @ X73 ) ) ) )
      & ( hskp37
        | hskp54
        | ! [X74: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X74 )
              | ~ ( c2_1 @ X74 )
              | ( c0_1 @ X74 ) ) ) )
      & ( hskp26
        | hskp55
        | ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ~ ( c0_1 @ X75 )
              | ( c2_1 @ X75 ) ) ) )
      & ( hskp27
        | hskp40
        | hskp28 )
      & ( hskp55
        | ! [X76: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X76 )
              | ~ ( c3_1 @ X76 )
              | ( c1_1 @ X76 ) ) )
        | ! [X77: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X77 )
              | ( c3_1 @ X77 )
              | ( c0_1 @ X77 ) ) ) )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X78 )
              | ( c1_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | hskp56
        | ! [X79: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X79 )
              | ~ ( c1_1 @ X79 )
              | ( c3_1 @ X79 ) ) ) )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X80 )
              | ( c2_1 @ X80 )
              | ~ ( c3_1 @ X80 ) ) )
        | hskp3
        | hskp29 )
      & ( hskp42
        | ! [X81: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X81 )
              | ( c0_1 @ X81 )
              | ( c1_1 @ X81 ) ) )
        | ! [X82: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X82 )
              | ( c0_1 @ X82 )
              | ( c1_1 @ X82 ) ) ) )
      & ( hskp57
        | ! [X83: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X83 )
              | ~ ( c3_1 @ X83 )
              | ~ ( c0_1 @ X83 ) ) )
        | ! [X84: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X84 )
              | ~ ( c1_1 @ X84 )
              | ~ ( c3_1 @ X84 ) ) ) )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X85 )
              | ~ ( c3_1 @ X85 )
              | ~ ( c0_1 @ X85 ) ) )
        | hskp58
        | hskp41 )
      & ( hskp59
        | hskp30 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X86 )
              | ~ ( c1_1 @ X86 )
              | ( c0_1 @ X86 ) ) )
        | hskp31
        | ! [X87: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X87 )
              | ( c1_1 @ X87 )
              | ~ ( c0_1 @ X87 ) ) ) )
      & ( hskp33
        | hskp60
        | hskp61 )
      & ( hskp62
        | hskp63
        | ! [X88: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X88 )
              | ( c3_1 @ X88 )
              | ( c2_1 @ X88 ) ) ) )
      & ( hskp64
        | hskp65
        | hskp66 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X89 )
              | ~ ( c0_1 @ X89 )
              | ( c1_1 @ X89 ) ) )
        | hskp55
        | ! [X90: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X90 )
              | ( c0_1 @ X90 )
              | ~ ( c3_1 @ X90 ) ) ) )
      & ( hskp32
        | hskp30
        | ! [X91: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X91 )
              | ~ ( c0_1 @ X91 )
              | ~ ( c2_1 @ X91 ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c0_1 @ a597 )
        & ~ ( c3_1 @ a597 )
        & ~ ( c1_1 @ a597 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c0_1 @ a598 )
        & ( c2_1 @ a598 )
        & ~ ( c1_1 @ a598 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c0_1 @ a601 )
        & ~ ( c2_1 @ a601 )
        & ~ ( c3_1 @ a601 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c0_1 @ a603 )
        & ~ ( c1_1 @ a603 )
        & ~ ( c3_1 @ a603 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ ( c2_1 @ a604 )
        & ~ ( c0_1 @ a604 )
        & ~ ( c3_1 @ a604 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ ( c0_1 @ a606 )
        & ( c2_1 @ a606 )
        & ~ ( c3_1 @ a606 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c2_1 @ a609 )
        & ~ ( c0_1 @ a609 )
        & ~ ( c1_1 @ a609 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c1_1 @ a610 )
        & ~ ( c2_1 @ a610 )
        & ~ ( c0_1 @ a610 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ ( c2_1 @ a612 )
        & ( c3_1 @ a612 )
        & ~ ( c1_1 @ a612 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c1_1 @ a613 )
        & ( c2_1 @ a613 )
        & ~ ( c3_1 @ a613 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c0_1 @ a615 )
        & ( c3_1 @ a615 )
        & ~ ( c2_1 @ a615 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c0_1 @ a616 )
        & ( c1_1 @ a616 )
        & ~ ( c2_1 @ a616 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ ( c0_1 @ a620 )
        & ~ ( c3_1 @ a620 )
        & ~ ( c1_1 @ a620 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ ( c1_1 @ a622 )
        & ~ ( c2_1 @ a622 )
        & ~ ( c0_1 @ a622 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c3_1 @ a624 )
        & ~ ( c1_1 @ a624 )
        & ~ ( c2_1 @ a624 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ ( c2_1 @ a625 )
        & ~ ( c1_1 @ a625 )
        & ~ ( c0_1 @ a625 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c2_1 @ a627 )
        & ( c0_1 @ a627 )
        & ~ ( c3_1 @ a627 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c3_1 @ a628 )
        & ~ ( c2_1 @ a628 )
        & ~ ( c1_1 @ a628 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c0_1 @ a632 )
        & ( c3_1 @ a632 )
        & ~ ( c1_1 @ a632 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ ( c1_1 @ a634 )
        & ~ ( c0_1 @ a634 )
        & ~ ( c3_1 @ a634 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ ( c1_1 @ a635 )
        & ~ ( c2_1 @ a635 )
        & ~ ( c3_1 @ a635 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c1_1 @ a637 )
        & ( c0_1 @ a637 )
        & ~ ( c3_1 @ a637 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c0_1 @ a641 )
        & ~ ( c1_1 @ a641 )
        & ~ ( c2_1 @ a641 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c2_1 @ a642 )
        & ( c3_1 @ a642 )
        & ~ ( c0_1 @ a642 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ ( c0_1 @ a643 )
        & ( c3_1 @ a643 )
        & ~ ( c1_1 @ a643 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c3_1 @ a646 )
        & ~ ( c2_1 @ a646 )
        & ~ ( c0_1 @ a646 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ ( c1_1 @ a652 )
        & ( c3_1 @ a652 )
        & ~ ( c2_1 @ a652 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ ( c3_1 @ a654 )
        & ~ ( c0_1 @ a654 )
        & ~ ( c1_1 @ a654 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ~ ( c3_1 @ a656 )
        & ( c1_1 @ a656 )
        & ~ ( c0_1 @ a656 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ~ ( c1_1 @ a660 )
        & ~ ( c3_1 @ a660 )
        & ~ ( c0_1 @ a660 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ~ ( c2_1 @ a666 )
        & ( c0_1 @ a666 )
        & ~ ( c3_1 @ a666 ) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ~ ( c2_1 @ a667 )
        & ( c1_1 @ a667 )
        & ~ ( c0_1 @ a667 ) ) )
    & ( ~ hskp32
      | ( ndr1_0
        & ( c0_1 @ a677 )
        & ~ ( c3_1 @ a677 )
        & ~ ( c2_1 @ a677 ) ) )
    & ( ~ hskp33
      | ( ndr1_0
        & ~ ( c2_1 @ a599 )
        & ( c0_1 @ a599 )
        & ( c3_1 @ a599 ) ) )
    & ( ~ hskp34
      | ( ndr1_0
        & ~ ( c3_1 @ a600 )
        & ( c2_1 @ a600 )
        & ( c0_1 @ a600 ) ) )
    & ( ~ hskp35
      | ( ndr1_0
        & ~ ( c3_1 @ a602 )
        & ~ ( c1_1 @ a602 )
        & ( c2_1 @ a602 ) ) )
    & ( ~ hskp36
      | ( ndr1_0
        & ( c1_1 @ a605 )
        & ~ ( c3_1 @ a605 )
        & ( c0_1 @ a605 ) ) )
    & ( ~ hskp37
      | ( ndr1_0
        & ( c1_1 @ a607 )
        & ~ ( c2_1 @ a607 )
        & ( c0_1 @ a607 ) ) )
    & ( ~ hskp38
      | ( ndr1_0
        & ( c1_1 @ a608 )
        & ( c3_1 @ a608 )
        & ( c0_1 @ a608 ) ) )
    & ( ~ hskp39
      | ( ndr1_0
        & ~ ( c1_1 @ a611 )
        & ( c3_1 @ a611 )
        & ( c2_1 @ a611 ) ) )
    & ( ~ hskp40
      | ( ndr1_0
        & ( c2_1 @ a614 )
        & ( c1_1 @ a614 )
        & ( c0_1 @ a614 ) ) )
    & ( ~ hskp41
      | ( ndr1_0
        & ( c2_1 @ a617 )
        & ~ ( c1_1 @ a617 )
        & ( c3_1 @ a617 ) ) )
    & ( ~ hskp42
      | ( ndr1_0
        & ~ ( c2_1 @ a618 )
        & ~ ( c3_1 @ a618 )
        & ( c1_1 @ a618 ) ) )
    & ( ~ hskp43
      | ( ndr1_0
        & ~ ( c3_1 @ a619 )
        & ~ ( c1_1 @ a619 )
        & ( c0_1 @ a619 ) ) )
    & ( ~ hskp44
      | ( ndr1_0
        & ( c2_1 @ a621 )
        & ~ ( c0_1 @ a621 )
        & ( c3_1 @ a621 ) ) )
    & ( ~ hskp45
      | ( ndr1_0
        & ~ ( c0_1 @ a623 )
        & ( c3_1 @ a623 )
        & ( c2_1 @ a623 ) ) )
    & ( ~ hskp46
      | ( ndr1_0
        & ( c1_1 @ a626 )
        & ( c0_1 @ a626 )
        & ( c3_1 @ a626 ) ) )
    & ( ~ hskp47
      | ( ndr1_0
        & ~ ( c1_1 @ a636 )
        & ~ ( c0_1 @ a636 )
        & ( c3_1 @ a636 ) ) )
    & ( ~ hskp48
      | ( ndr1_0
        & ~ ( c3_1 @ a638 )
        & ( c1_1 @ a638 )
        & ( c2_1 @ a638 ) ) )
    & ( ~ hskp49
      | ( ndr1_0
        & ~ ( c2_1 @ a639 )
        & ~ ( c0_1 @ a639 )
        & ( c1_1 @ a639 ) ) )
    & ( ~ hskp50
      | ( ndr1_0
        & ~ ( c3_1 @ a640 )
        & ( c1_1 @ a640 )
        & ( c0_1 @ a640 ) ) )
    & ( ~ hskp51
      | ( ndr1_0
        & ( c2_1 @ a644 )
        & ~ ( c3_1 @ a644 )
        & ( c0_1 @ a644 ) ) )
    & ( ~ hskp52
      | ( ndr1_0
        & ~ ( c2_1 @ a647 )
        & ~ ( c1_1 @ a647 )
        & ( c0_1 @ a647 ) ) )
    & ( ~ hskp53
      | ( ndr1_0
        & ( c3_1 @ a648 )
        & ~ ( c2_1 @ a648 )
        & ( c0_1 @ a648 ) ) )
    & ( ~ hskp54
      | ( ndr1_0
        & ( c3_1 @ a651 )
        & ~ ( c0_1 @ a651 )
        & ( c2_1 @ a651 ) ) )
    & ( ~ hskp55
      | ( ndr1_0
        & ~ ( c2_1 @ a653 )
        & ( c3_1 @ a653 )
        & ( c1_1 @ a653 ) ) )
    & ( ~ hskp56
      | ( ndr1_0
        & ~ ( c1_1 @ a658 )
        & ( c2_1 @ a658 )
        & ( c3_1 @ a658 ) ) )
    & ( ~ hskp57
      | ( ndr1_0
        & ~ ( c0_1 @ a662 )
        & ( c1_1 @ a662 )
        & ( c2_1 @ a662 ) ) )
    & ( ~ hskp58
      | ( ndr1_0
        & ~ ( c0_1 @ a663 )
        & ~ ( c1_1 @ a663 )
        & ( c3_1 @ a663 ) ) )
    & ( ~ hskp59
      | ( ndr1_0
        & ~ ( c0_1 @ a665 )
        & ( c2_1 @ a665 )
        & ( c3_1 @ a665 ) ) )
    & ( ~ hskp60
      | ( ndr1_0
        & ( c0_1 @ a669 )
        & ~ ( c2_1 @ a669 )
        & ( c1_1 @ a669 ) ) )
    & ( ~ hskp61
      | ( ndr1_0
        & ~ ( c1_1 @ a670 )
        & ~ ( c0_1 @ a670 )
        & ( c2_1 @ a670 ) ) )
    & ( ~ hskp62
      | ( ndr1_0
        & ~ ( c1_1 @ a671 )
        & ( c3_1 @ a671 )
        & ( c0_1 @ a671 ) ) )
    & ( ~ hskp63
      | ( ndr1_0
        & ~ ( c0_1 @ a672 )
        & ~ ( c2_1 @ a672 )
        & ( c3_1 @ a672 ) ) )
    & ( ~ hskp64
      | ( ndr1_0
        & ( c3_1 @ a673 )
        & ~ ( c0_1 @ a673 )
        & ( c1_1 @ a673 ) ) )
    & ( ~ hskp65
      | ( ndr1_0
        & ( c2_1 @ a674 )
        & ~ ( c1_1 @ a674 )
        & ( c0_1 @ a674 ) ) )
    & ( ~ hskp66
      | ( ndr1_0
        & ( c1_1 @ a675 )
        & ~ ( c2_1 @ a675 )
        & ( c3_1 @ a675 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c2_1 @ U )
            | ~ ( c3_1 @ U )
            | ~ ( c0_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ V )
            | ( c0_1 @ V )
            | ~ ( c3_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ W )
            | ~ ( c2_1 @ W )
            | ( c3_1 @ W ) ) ) )
    & ( hskp0
      | ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ~ ( c3_1 @ X )
            | ( c1_1 @ X ) ) )
      | hskp1 )
    & ( hskp33
      | hskp34
      | hskp2 )
    & ( ! [Y: $i] :
          ( ndr1_0
         => ( ( c2_1 @ Y )
            | ~ ( c0_1 @ Y )
            | ( c1_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ~ ( c3_1 @ Z )
            | ~ ( c2_1 @ Z ) ) )
      | ! [X1: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ~ ( c2_1 @ X1 ) ) ) )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X2 )
            | ( c0_1 @ X2 )
            | ~ ( c2_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c3_1 @ X3 )
            | ~ ( c2_1 @ X3 ) ) )
      | ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ~ ( c1_1 @ X4 )
            | ~ ( c2_1 @ X4 ) ) ) )
    & ( hskp35
      | ! [X5: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X5 )
            | ~ ( c2_1 @ X5 )
            | ~ ( c3_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X6 )
            | ( c2_1 @ X6 )
            | ~ ( c3_1 @ X6 ) ) ) )
    & ( hskp3
      | hskp4
      | hskp36 )
    & ( hskp5
      | ! [X7: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X7 )
            | ~ ( c2_1 @ X7 )
            | ~ ( c3_1 @ X7 ) ) )
      | hskp37 )
    & ( ! [X8: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X8 )
            | ( c0_1 @ X8 )
            | ( c1_1 @ X8 ) ) )
      | ! [X9: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X9 )
            | ( c1_1 @ X9 )
            | ( c3_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ( c2_1 @ X10 ) ) ) )
    & ( hskp38
      | ! [X11: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X11 )
            | ( c1_1 @ X11 )
            | ( c0_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X12 )
            | ~ ( c1_1 @ X12 )
            | ( c0_1 @ X12 ) ) ) )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X13 )
            | ~ ( c3_1 @ X13 )
            | ~ ( c0_1 @ X13 ) ) )
      | hskp6
      | ! [X14: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X14 )
            | ~ ( c0_1 @ X14 )
            | ~ ( c3_1 @ X14 ) ) ) )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X15 )
            | ~ ( c1_1 @ X15 )
            | ~ ( c0_1 @ X15 ) ) )
      | hskp7
      | hskp39 )
    & ( hskp8
      | ! [X16: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X16 )
            | ( c1_1 @ X16 )
            | ( c3_1 @ X16 ) ) )
      | hskp9 )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X17 )
            | ~ ( c3_1 @ X17 )
            | ~ ( c0_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X18 )
            | ( c1_1 @ X18 )
            | ~ ( c0_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X19 )
            | ( c0_1 @ X19 )
            | ( c2_1 @ X19 ) ) ) )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X20 )
            | ~ ( c1_1 @ X20 )
            | ( c2_1 @ X20 ) ) )
      | hskp40
      | hskp10 )
    & ( ! [X21: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X21 )
            | ~ ( c1_1 @ X21 )
            | ~ ( c2_1 @ X21 ) ) )
      | hskp11
      | ! [X22: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X22 )
            | ( c1_1 @ X22 )
            | ( c3_1 @ X22 ) ) ) )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X23 )
            | ( c2_1 @ X23 )
            | ( c0_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X24 )
            | ( c2_1 @ X24 )
            | ~ ( c0_1 @ X24 ) ) )
      | ! [X25: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X25 )
            | ~ ( c2_1 @ X25 )
            | ( c0_1 @ X25 ) ) ) )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X26 )
            | ~ ( c0_1 @ X26 )
            | ( c2_1 @ X26 ) ) )
      | hskp41
      | ! [X27: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X27 )
            | ~ ( c3_1 @ X27 )
            | ( c2_1 @ X27 ) ) ) )
    & ( hskp42
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c1_1 @ X28 )
            | ~ ( c3_1 @ X28 ) ) )
      | ! [X29: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ( c1_1 @ X29 ) ) ) )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X30 )
            | ( c2_1 @ X30 )
            | ~ ( c3_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X31 )
            | ~ ( c0_1 @ X31 )
            | ( c1_1 @ X31 ) ) )
      | ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ~ ( c3_1 @ X32 )
            | ~ ( c2_1 @ X32 ) ) ) )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X33 )
            | ~ ( c1_1 @ X33 )
            | ( c0_1 @ X33 ) ) )
      | ! [X34: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X34 )
            | ( c1_1 @ X34 )
            | ( c0_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X35 )
            | ~ ( c3_1 @ X35 )
            | ( c1_1 @ X35 ) ) ) )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X36 )
            | ~ ( c0_1 @ X36 )
            | ~ ( c1_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X37 )
            | ( c3_1 @ X37 )
            | ~ ( c0_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X38 )
            | ~ ( c0_1 @ X38 )
            | ~ ( c2_1 @ X38 ) ) ) )
    & ( hskp43
      | hskp12
      | ! [X39: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X39 )
            | ~ ( c1_1 @ X39 )
            | ( c2_1 @ X39 ) ) ) )
    & ( hskp44
      | hskp13
      | ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ~ ( c2_1 @ X40 )
            | ~ ( c1_1 @ X40 ) ) ) )
    & ( ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ~ ( c3_1 @ X41 )
            | ~ ( c2_1 @ X41 ) ) )
      | ! [X42: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X42 )
            | ( c3_1 @ X42 )
            | ~ ( c1_1 @ X42 ) ) )
      | hskp45 )
    & ( hskp14
      | hskp15
      | ! [X43: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X43 )
            | ( c1_1 @ X43 )
            | ~ ( c0_1 @ X43 ) ) ) )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X44 )
            | ( c1_1 @ X44 )
            | ( c0_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X45 )
            | ( c0_1 @ X45 )
            | ( c1_1 @ X45 ) ) )
      | ! [X46: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X46 )
            | ~ ( c2_1 @ X46 )
            | ( c1_1 @ X46 ) ) ) )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X47 )
            | ( c2_1 @ X47 )
            | ( c3_1 @ X47 ) ) )
      | ! [X48: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X48 )
            | ~ ( c0_1 @ X48 )
            | ~ ( c3_1 @ X48 ) ) )
      | hskp46 )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X49 )
            | ( c1_1 @ X49 )
            | ( c3_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X50 )
            | ( c3_1 @ X50 )
            | ( c1_1 @ X50 ) ) )
      | ! [X51: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X51 )
            | ( c3_1 @ X51 )
            | ( c0_1 @ X51 ) ) ) )
    & ( hskp16
      | hskp17
      | hskp9 )
    & ( hskp36
      | ! [X52: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X52 )
            | ( c1_1 @ X52 )
            | ( c2_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X53 )
            | ~ ( c1_1 @ X53 )
            | ~ ( c3_1 @ X53 ) ) ) )
    & ( hskp16
      | ! [X54: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X54 )
            | ( c2_1 @ X54 )
            | ( c0_1 @ X54 ) ) )
      | ! [X55: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X55 )
            | ( c3_1 @ X55 )
            | ~ ( c0_1 @ X55 ) ) ) )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X56 )
            | ~ ( c2_1 @ X56 )
            | ~ ( c3_1 @ X56 ) ) )
      | ! [X57: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X57 )
            | ~ ( c2_1 @ X57 )
            | ~ ( c1_1 @ X57 ) ) )
      | ! [X58: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X58 )
            | ~ ( c2_1 @ X58 )
            | ~ ( c0_1 @ X58 ) ) ) )
    & ( hskp18
      | hskp9
      | hskp19 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X59 )
            | ( c1_1 @ X59 )
            | ~ ( c3_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X60 )
            | ( c2_1 @ X60 )
            | ~ ( c0_1 @ X60 ) ) )
      | hskp20 )
    & ( hskp47
      | ! [X61: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X61 )
            | ( c3_1 @ X61 )
            | ~ ( c0_1 @ X61 ) ) )
      | hskp21 )
    & ( ! [X62: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X62 )
            | ( c0_1 @ X62 )
            | ( c3_1 @ X62 ) ) )
      | ! [X63: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X63 )
            | ( c1_1 @ X63 )
            | ( c0_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X64 )
            | ( c0_1 @ X64 )
            | ( c2_1 @ X64 ) ) ) )
    & ( hskp48
      | ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ( c3_1 @ X65 )
            | ~ ( c0_1 @ X65 ) ) )
      | hskp49 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X66 )
            | ( c2_1 @ X66 )
            | ( c1_1 @ X66 ) ) )
      | hskp50
      | hskp22 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ~ ( c2_1 @ X67 )
            | ~ ( c3_1 @ X67 ) ) )
      | hskp23
      | hskp24 )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ( c0_1 @ X68 )
            | ( c3_1 @ X68 ) ) )
      | hskp51
      | ! [X69: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X69 )
            | ( c0_1 @ X69 )
            | ~ ( c3_1 @ X69 ) ) ) )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X70 )
            | ~ ( c1_1 @ X70 )
            | ( c2_1 @ X70 ) ) )
      | ! [X71: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X71 )
            | ( c1_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | hskp5 )
    & ( hskp25
      | ! [X72: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X72 )
            | ( c2_1 @ X72 )
            | ~ ( c0_1 @ X72 ) ) )
      | hskp52 )
    & ( hskp53
      | hskp17
      | ! [X73: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X73 )
            | ( c1_1 @ X73 )
            | ~ ( c3_1 @ X73 ) ) ) )
    & ( hskp37
      | hskp54
      | ! [X74: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X74 )
            | ~ ( c2_1 @ X74 )
            | ( c0_1 @ X74 ) ) ) )
    & ( hskp26
      | hskp55
      | ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ~ ( c0_1 @ X75 )
            | ( c2_1 @ X75 ) ) ) )
    & ( hskp27
      | hskp40
      | hskp28 )
    & ( hskp55
      | ! [X76: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X76 )
            | ~ ( c3_1 @ X76 )
            | ( c1_1 @ X76 ) ) )
      | ! [X77: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X77 )
            | ( c3_1 @ X77 )
            | ( c0_1 @ X77 ) ) ) )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X78 )
            | ( c1_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | hskp56
      | ! [X79: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X79 )
            | ~ ( c1_1 @ X79 )
            | ( c3_1 @ X79 ) ) ) )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X80 )
            | ( c2_1 @ X80 )
            | ~ ( c3_1 @ X80 ) ) )
      | hskp3
      | hskp29 )
    & ( hskp42
      | ! [X81: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X81 )
            | ( c0_1 @ X81 )
            | ( c1_1 @ X81 ) ) )
      | ! [X82: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X82 )
            | ( c0_1 @ X82 )
            | ( c1_1 @ X82 ) ) ) )
    & ( hskp57
      | ! [X83: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X83 )
            | ~ ( c3_1 @ X83 )
            | ~ ( c0_1 @ X83 ) ) )
      | ! [X84: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X84 )
            | ~ ( c1_1 @ X84 )
            | ~ ( c3_1 @ X84 ) ) ) )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X85 )
            | ~ ( c3_1 @ X85 )
            | ~ ( c0_1 @ X85 ) ) )
      | hskp58
      | hskp41 )
    & ( hskp59
      | hskp30 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X86 )
            | ~ ( c1_1 @ X86 )
            | ( c0_1 @ X86 ) ) )
      | hskp31
      | ! [X87: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X87 )
            | ( c1_1 @ X87 )
            | ~ ( c0_1 @ X87 ) ) ) )
    & ( hskp33
      | hskp60
      | hskp61 )
    & ( hskp62
      | hskp63
      | ! [X88: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X88 )
            | ( c3_1 @ X88 )
            | ( c2_1 @ X88 ) ) ) )
    & ( hskp64
      | hskp65
      | hskp66 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X89 )
            | ~ ( c0_1 @ X89 )
            | ( c1_1 @ X89 ) ) )
      | hskp55
      | ! [X90: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X90 )
            | ( c0_1 @ X90 )
            | ~ ( c3_1 @ X90 ) ) ) )
    & ( hskp32
      | hskp30
      | ! [X91: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X91 )
            | ~ ( c0_1 @ X91 )
            | ~ ( c2_1 @ X91 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl51,plain,
    ! [X81: $i,X82: $i,X83: $i] :
      ( ~ ( c2_1 @ X81 )
      | ( c0_1 @ X81 )
      | ( c1_1 @ X81 )
      | ~ ndr1_0
      | ~ ( c2_1 @ X82 )
      | ( c1_1 @ X82 )
      | ( c3_1 @ X82 )
      | ~ ndr1_0
      | ( c0_1 @ X83 )
      | ( c1_1 @ X83 )
      | ( c2_1 @ X83 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl526,plain,
    ( ! [X82: $i] :
        ( ~ ( c2_1 @ X82 )
        | ( c1_1 @ X82 )
        | ( c3_1 @ X82 ) )
   <= ! [X82: $i] :
        ( ~ ( c2_1 @ X82 )
        | ( c1_1 @ X82 )
        | ( c3_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp35
    | ~ ( c1_1 @ a602 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl811,plain,
    ( ~ ( c1_1 @ a602 )
   <= ~ ( c1_1 @ a602 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl3660,plain,
    ( ( ( c3_1 @ a602 )
      | ~ ( c2_1 @ a602 ) )
   <= ( ~ ( c1_1 @ a602 )
      & ! [X82: $i] :
          ( ~ ( c2_1 @ X82 )
          | ( c1_1 @ X82 )
          | ( c3_1 @ X82 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl811]) ).

thf('0',plain,
    ( ~ ! [X82: $i] :
          ( ~ ( c2_1 @ X82 )
          | ( c1_1 @ X82 )
          | ( c3_1 @ X82 ) )
    | ( c1_1 @ a602 )
    | ~ ( c2_1 @ a602 )
    | ( c3_1 @ a602 ) ),
    inference(split,[status(esa)],[zip_derived_cl3660]) ).

thf(zip_derived_cl39,plain,
    ! [X56: $i,X57: $i,X58: $i] :
      ( ~ ( c2_1 @ X56 )
      | ~ ( c1_1 @ X56 )
      | ( c0_1 @ X56 )
      | ~ ndr1_0
      | ~ ( c2_1 @ X57 )
      | ( c1_1 @ X57 )
      | ( c0_1 @ X57 )
      | ~ ndr1_0
      | ~ ( c2_1 @ X58 )
      | ~ ( c3_1 @ X58 )
      | ( c1_1 @ X58 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl478,plain,
    ( ! [X57: $i] :
        ( ~ ( c2_1 @ X57 )
        | ( c1_1 @ X57 )
        | ( c0_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ~ ( c2_1 @ X57 )
        | ( c1_1 @ X57 )
        | ( c0_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp41
    | ~ ( c1_1 @ a617 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl763,plain,
    ( ~ ( c1_1 @ a617 )
   <= ~ ( c1_1 @ a617 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl3370,plain,
    ( ( ( c0_1 @ a617 )
      | ~ ( c2_1 @ a617 ) )
   <= ( ~ ( c1_1 @ a617 )
      & ! [X57: $i] :
          ( ~ ( c2_1 @ X57 )
          | ( c1_1 @ X57 )
          | ( c0_1 @ X57 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl763]) ).

thf('1',plain,
    ( ~ ! [X57: $i] :
          ( ~ ( c2_1 @ X57 )
          | ( c1_1 @ X57 )
          | ( c0_1 @ X57 ) )
    | ( c0_1 @ a617 )
    | ( c1_1 @ a617 )
    | ~ ( c2_1 @ a617 ) ),
    inference(split,[status(esa)],[zip_derived_cl3370]) ).

thf(zip_derived_cl763_001,plain,
    ( ~ ( c1_1 @ a617 )
   <= ~ ( c1_1 @ a617 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl1,plain,
    ! [X1: $i,X2: $i] :
      ( ~ ( c3_1 @ X1 )
      | ~ ( c0_1 @ X1 )
      | ( c1_1 @ X1 )
      | ~ ndr1_0
      | hskp55
      | ( c1_1 @ X2 )
      | ( c0_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl333,plain,
    ( ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ( c1_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ( c1_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl2260,plain,
    ( ( ~ ( c3_1 @ a617 )
      | ~ ( c0_1 @ a617 ) )
   <= ( ~ ( c1_1 @ a617 )
      & ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ( c1_1 @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl763,zip_derived_cl333]) ).

thf('2',plain,
    ( ~ ( c0_1 @ a617 )
    | ( c1_1 @ a617 )
    | ~ ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ( c1_1 @ X1 ) )
    | ~ ( c3_1 @ a617 ) ),
    inference(split,[status(esa)],[zip_derived_cl2260]) ).

thf(zip_derived_cl9,plain,
    ! [X9: $i,X10: $i] :
      ( hskp42
      | ~ ( c3_1 @ X9 )
      | ( c0_1 @ X9 )
      | ( c1_1 @ X9 )
      | ~ ndr1_0
      | ( c3_1 @ X10 )
      | ( c0_1 @ X10 )
      | ( c1_1 @ X10 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( hskp42
    | ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c1_1 @ X10 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl811_002,plain,
    ( ~ ( c1_1 @ a602 )
   <= ~ ( c1_1 @ a602 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl360,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl2324,plain,
    ( ( ( c3_1 @ a602 )
      | ( c0_1 @ a602 ) )
   <= ( ~ ( c1_1 @ a602 )
      & ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c1_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl811,zip_derived_cl360]) ).

thf('4',plain,
    ( ( c0_1 @ a602 )
    | ~ ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c1_1 @ X10 ) )
    | ( c1_1 @ a602 )
    | ( c3_1 @ a602 ) ),
    inference(split,[status(esa)],[zip_derived_cl2324]) ).

thf(zip_derived_cl270,plain,
    ( ~ hskp14
    | ~ ( c1_1 @ a624 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl979,plain,
    ( ~ ( c1_1 @ a624 )
   <= ~ ( c1_1 @ a624 ) ),
    inference(split,[status(esa)],[zip_derived_cl270]) ).

thf(zip_derived_cl11,plain,
    ! [X12: $i,X13: $i] :
      ( ( c2_1 @ X12 )
      | ( c1_1 @ X12 )
      | ~ ( c3_1 @ X12 )
      | ~ ndr1_0
      | hskp56
      | ( c2_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ( c3_1 @ X13 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl369,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl2952,plain,
    ( ( ( c2_1 @ a624 )
      | ~ ( c3_1 @ a624 ) )
   <= ( ~ ( c1_1 @ a624 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl979,zip_derived_cl369]) ).

thf('5',plain,
    ( ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ( c1_1 @ a624 )
    | ( c2_1 @ a624 )
    | ~ ( c3_1 @ a624 ) ),
    inference(split,[status(esa)],[zip_derived_cl2952]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp35
    | ( c2_1 @ a602 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl813,plain,
    ( ( c2_1 @ a602 )
   <= ( c2_1 @ a602 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl12,plain,
    ! [X14: $i,X15: $i] :
      ( hskp55
      | ( c2_1 @ X14 )
      | ~ ( c3_1 @ X14 )
      | ( c1_1 @ X14 )
      | ~ ndr1_0
      | ~ ( c2_1 @ X15 )
      | ( c3_1 @ X15 )
      | ( c0_1 @ X15 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl372,plain,
    ( ! [X15: $i] :
        ( ~ ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ( c0_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ~ ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl4563,plain,
    ( ( ( c3_1 @ a602 )
      | ( c0_1 @ a602 ) )
   <= ( ! [X15: $i] :
          ( ~ ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ( c0_1 @ X15 ) )
      & ( c2_1 @ a602 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl813,zip_derived_cl372]) ).

thf('6',plain,
    ( ~ ! [X15: $i] :
          ( ~ ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ( c0_1 @ X15 ) )
    | ( c0_1 @ a602 )
    | ~ ( c2_1 @ a602 )
    | ( c3_1 @ a602 ) ),
    inference(split,[status(esa)],[zip_derived_cl4563]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp35
    | ~ ( c3_1 @ a602 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( ~ ( c3_1 @ a602 )
    | ~ hskp35 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl233,plain,
    ( ~ hskp23
    | ( c2_1 @ a642 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( ( c2_1 @ a642 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl233]) ).

thf(zip_derived_cl234,plain,
    ( ~ hskp23
    | ( c3_1 @ a642 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( ( c3_1 @ a642 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl234]) ).

thf(zip_derived_cl235,plain,
    ( ~ hskp23
    | ~ ( c0_1 @ a642 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( ~ ( c0_1 @ a642 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl235]) ).

thf(zip_derived_cl905,plain,
    ( ( c2_1 @ a642 )
   <= ( c2_1 @ a642 ) ),
    inference(split,[status(esa)],[zip_derived_cl233]) ).

thf(zip_derived_cl35,plain,
    ! [X49: $i,X50: $i] :
      ( ( c0_1 @ X49 )
      | ~ ( c3_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ndr1_0
      | ( c2_1 @ X50 )
      | ( c3_1 @ X50 )
      | ~ ( c1_1 @ X50 )
      | ~ ndr1_0
      | hskp45 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl462,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl4739,plain,
    ( ( ( c0_1 @ a642 )
      | ~ ( c3_1 @ a642 ) )
   <= ( ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
      & ( c2_1 @ a642 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl905,zip_derived_cl462]) ).

thf('11',plain,
    ( ~ ( c2_1 @ a642 )
    | ( c0_1 @ a642 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c3_1 @ a642 ) ),
    inference(split,[status(esa)],[zip_derived_cl4739]) ).

thf(zip_derived_cl763_003,plain,
    ( ~ ( c1_1 @ a617 )
   <= ~ ( c1_1 @ a617 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( hskp32
      | hskp30
      | ( c1_1 @ X0 )
      | ~ ( c0_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl328,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl2259,plain,
    ( ( ~ ( c0_1 @ a617 )
      | ~ ( c2_1 @ a617 ) )
   <= ( ~ ( c1_1 @ a617 )
      & ! [X0: $i] :
          ( ( c1_1 @ X0 )
          | ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl763,zip_derived_cl328]) ).

thf('12',plain,
    ( ~ ( c0_1 @ a617 )
    | ( c1_1 @ a617 )
    | ~ ! [X0: $i] :
          ( ( c1_1 @ X0 )
          | ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c2_1 @ a617 ) ),
    inference(split,[status(esa)],[zip_derived_cl2259]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp37
    | ( c1_1 @ a607 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl793,plain,
    ( ( c1_1 @ a607 )
   <= ( c1_1 @ a607 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl37,plain,
    ! [X52: $i] :
      ( hskp43
      | hskp12
      | ~ ( c3_1 @ X52 )
      | ~ ( c1_1 @ X52 )
      | ( c2_1 @ X52 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl469,plain,
    ( ! [X52: $i] :
        ( ~ ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ( c2_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ~ ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl4544,plain,
    ( ( ~ ( c3_1 @ a607 )
      | ( c2_1 @ a607 ) )
   <= ( ! [X52: $i] :
          ( ~ ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ( c2_1 @ X52 ) )
      & ( c1_1 @ a607 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl793,zip_derived_cl469]) ).

thf('13',plain,
    ( ~ ( c3_1 @ a607 )
    | ( c2_1 @ a607 )
    | ~ ! [X52: $i] :
          ( ~ ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ( c2_1 @ X52 ) )
    | ~ ( c1_1 @ a607 ) ),
    inference(split,[status(esa)],[zip_derived_cl4544]) ).

thf(zip_derived_cl793_004,plain,
    ( ( c1_1 @ a607 )
   <= ( c1_1 @ a607 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl368,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl4540,plain,
    ( ( ( c2_1 @ a607 )
      | ( c3_1 @ a607 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ( c3_1 @ X13 ) )
      & ( c1_1 @ a607 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl793,zip_derived_cl368]) ).

thf('14',plain,
    ( ( c3_1 @ a607 )
    | ( c2_1 @ a607 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ( c3_1 @ X13 ) )
    | ~ ( c1_1 @ a607 ) ),
    inference(split,[status(esa)],[zip_derived_cl4540]) ).

thf(zip_derived_cl52,plain,
    ! [X84: $i] :
      ( hskp5
      | ~ ( c0_1 @ X84 )
      | ~ ( c2_1 @ X84 )
      | ~ ( c3_1 @ X84 )
      | ~ ndr1_0
      | hskp37 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('15',plain,
    ( hskp5
    | hskp37
    | ! [X55: $i] :
        ( ~ ( c3_1 @ X55 )
        | ~ ( c0_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl229,plain,
    ( ~ hskp24
    | ~ ( c0_1 @ a643 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( ~ hskp24
    | ~ ( c0_1 @ a643 ) ),
    inference(split,[status(esa)],[zip_derived_cl229]) ).

thf(zip_derived_cl230,plain,
    ( ~ hskp24
    | ( c3_1 @ a643 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('17',plain,
    ( ~ hskp24
    | ( c3_1 @ a643 ) ),
    inference(split,[status(esa)],[zip_derived_cl230]) ).

thf(zip_derived_cl231,plain,
    ( ~ hskp24
    | ~ ( c1_1 @ a643 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('18',plain,
    ( ~ hskp24
    | ~ ( c1_1 @ a643 ) ),
    inference(split,[status(esa)],[zip_derived_cl231]) ).

thf(zip_derived_cl901,plain,
    ( ~ ( c1_1 @ a643 )
   <= ~ ( c1_1 @ a643 ) ),
    inference(split,[status(esa)],[zip_derived_cl231]) ).

thf(zip_derived_cl332,plain,
    ( ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl2653,plain,
    ( ( ( c0_1 @ a643 )
      | ~ ( c3_1 @ a643 ) )
   <= ( ~ ( c1_1 @ a643 )
      & ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl901,zip_derived_cl332]) ).

thf('19',plain,
    ( ( c0_1 @ a643 )
    | ~ ( c3_1 @ a643 )
    | ~ ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ( c1_1 @ a643 ) ),
    inference(split,[status(esa)],[zip_derived_cl2653]) ).

thf(zip_derived_cl20,plain,
    ! [X24: $i] :
      ( ( c1_1 @ X24 )
      | ~ ( c2_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | hskp23
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('20',plain,
    ( hskp23
    | hskp24
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf('21',plain,
    ( ~ ( c1_1 @ a602 )
    | ~ hskp35 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf('22',plain,
    ( ( c2_1 @ a602 )
    | ~ hskp35 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl811_005,plain,
    ( ~ ( c1_1 @ a602 )
   <= ~ ( c1_1 @ a602 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl328_006,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl2320,plain,
    ( ( ~ ( c0_1 @ a602 )
      | ~ ( c2_1 @ a602 ) )
   <= ( ~ ( c1_1 @ a602 )
      & ! [X0: $i] :
          ( ( c1_1 @ X0 )
          | ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl811,zip_derived_cl328]) ).

thf('23',plain,
    ( ~ ( c0_1 @ a602 )
    | ~ ! [X0: $i] :
          ( ( c1_1 @ X0 )
          | ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c2_1 @ a602 )
    | ( c1_1 @ a602 ) ),
    inference(split,[status(esa)],[zip_derived_cl2320]) ).

thf(zip_derived_cl281,plain,
    ( ~ hskp11
    | ( c0_1 @ a616 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('24',plain,
    ( ( c0_1 @ a616 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl281]) ).

thf(zip_derived_cl282,plain,
    ( ~ hskp11
    | ( c1_1 @ a616 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( ( c1_1 @ a616 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl282]) ).

thf(zip_derived_cl283,plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a616 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('26',plain,
    ( ~ ( c2_1 @ a616 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl283]) ).

thf(zip_derived_cl1003,plain,
    ( ( c1_1 @ a616 )
   <= ( c1_1 @ a616 ) ),
    inference(split,[status(esa)],[zip_derived_cl282]) ).

thf(zip_derived_cl18,plain,
    ! [X20: $i,X21: $i] :
      ( ~ ( c0_1 @ X20 )
      | ~ ( c1_1 @ X20 )
      | ( c2_1 @ X20 )
      | ~ ndr1_0
      | ( c2_1 @ X21 )
      | ( c1_1 @ X21 )
      | ~ ( c3_1 @ X21 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl396,plain,
    ( ! [X20: $i] :
        ( ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 )
        | ( c2_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 )
        | ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl4898,plain,
    ( ( ~ ( c0_1 @ a616 )
      | ( c2_1 @ a616 ) )
   <= ( ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ( c2_1 @ X20 ) )
      & ( c1_1 @ a616 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1003,zip_derived_cl396]) ).

thf('27',plain,
    ( ~ ( c1_1 @ a616 )
    | ( c2_1 @ a616 )
    | ~ ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ( c2_1 @ X20 ) )
    | ~ ( c0_1 @ a616 ) ),
    inference(split,[status(esa)],[zip_derived_cl4898]) ).

thf(zip_derived_cl44,plain,
    ! [X69: $i,X70: $i] :
      ( ~ ( c3_1 @ X69 )
      | ~ ( c1_1 @ X69 )
      | ~ ( c2_1 @ X69 )
      | ~ ndr1_0
      | hskp11
      | ( c2_1 @ X70 )
      | ( c1_1 @ X70 )
      | ( c3_1 @ X70 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( ! [X3: $i] :
        ( ( c1_1 @ X3 )
        | ( c3_1 @ X3 )
        | ( c2_1 @ X3 ) )
    | ! [X34: $i] :
        ( ~ ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 )
        | ~ ( c1_1 @ X34 ) )
    | hskp11
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl303,plain,
    ( ~ hskp6
    | ~ ( c1_1 @ a609 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1045,plain,
    ( ~ ( c1_1 @ a609 )
   <= ~ ( c1_1 @ a609 ) ),
    inference(split,[status(esa)],[zip_derived_cl303]) ).

thf(zip_derived_cl332_007,plain,
    ( ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl3249,plain,
    ( ( ( c0_1 @ a609 )
      | ~ ( c3_1 @ a609 ) )
   <= ( ~ ( c1_1 @ a609 )
      & ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1045,zip_derived_cl332]) ).

thf('29',plain,
    ( ~ ( c3_1 @ a609 )
    | ( c0_1 @ a609 )
    | ~ ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ( c1_1 @ a609 ) ),
    inference(split,[status(esa)],[zip_derived_cl3249]) ).

thf(zip_derived_cl1045_008,plain,
    ( ~ ( c1_1 @ a609 )
   <= ~ ( c1_1 @ a609 ) ),
    inference(split,[status(esa)],[zip_derived_cl303]) ).

thf(zip_derived_cl360_009,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl3251,plain,
    ( ( ( c3_1 @ a609 )
      | ( c0_1 @ a609 ) )
   <= ( ~ ( c1_1 @ a609 )
      & ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c1_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1045,zip_derived_cl360]) ).

thf('30',plain,
    ( ( c3_1 @ a609 )
    | ( c1_1 @ a609 )
    | ~ ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c1_1 @ X10 ) )
    | ( c0_1 @ a609 ) ),
    inference(split,[status(esa)],[zip_derived_cl3251]) ).

thf(zip_derived_cl19,plain,
    ! [X22: $i,X23: $i] :
      ( ( c1_1 @ X22 )
      | ( c0_1 @ X22 )
      | ( c3_1 @ X22 )
      | ~ ndr1_0
      | hskp51
      | ~ ( c1_1 @ X23 )
      | ( c0_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('31',plain,
    ( hskp51
    | ! [X23: $i] :
        ( ~ ( c1_1 @ X23 )
        | ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | ~ ndr1_0
    | ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp51
    | ( c2_1 @ a644 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('32',plain,
    ( ( c2_1 @ a644 )
    | ~ hskp51 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp51
    | ~ ( c3_1 @ a644 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('33',plain,
    ( ~ ( c3_1 @ a644 )
    | ~ hskp51 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp51
    | ( c0_1 @ a644 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( ( c0_1 @ a644 )
    | ~ hskp51 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl681,plain,
    ( ( c2_1 @ a644 )
   <= ( c2_1 @ a644 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl28,plain,
    ! [X36: $i,X37: $i] :
      ( hskp16
      | ~ ( c3_1 @ X36 )
      | ( c2_1 @ X36 )
      | ( c0_1 @ X36 )
      | ~ ndr1_0
      | ~ ( c2_1 @ X37 )
      | ( c3_1 @ X37 )
      | ~ ( c0_1 @ X37 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl434,plain,
    ( ! [X37: $i] :
        ( ~ ( c2_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c0_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ~ ( c2_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c0_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl4104,plain,
    ( ( ( c3_1 @ a644 )
      | ~ ( c0_1 @ a644 ) )
   <= ( ! [X37: $i] :
          ( ~ ( c2_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c0_1 @ X37 ) )
      & ( c2_1 @ a644 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl681,zip_derived_cl434]) ).

thf('35',plain,
    ( ( c3_1 @ a644 )
    | ~ ( c2_1 @ a644 )
    | ~ ! [X37: $i] :
          ( ~ ( c2_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c0_1 @ X37 ) )
    | ~ ( c0_1 @ a644 ) ),
    inference(split,[status(esa)],[zip_derived_cl4104]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp40
    | ( c1_1 @ a614 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl771,plain,
    ( ( c1_1 @ a614 )
   <= ( c1_1 @ a614 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl8,plain,
    ! [X7: $i,X8: $i] :
      ( hskp57
      | ( c1_1 @ X7 )
      | ~ ( c3_1 @ X7 )
      | ~ ( c0_1 @ X7 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl356,plain,
    ( ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl4395,plain,
    ( ( ~ ( c0_1 @ a614 )
      | ~ ( c3_1 @ a614 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c1_1 @ a614 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl771,zip_derived_cl356]) ).

thf('36',plain,
    ( ~ ! [X8: $i] :
          ( ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c3_1 @ a614 )
    | ~ ( c1_1 @ a614 )
    | ~ ( c0_1 @ a614 ) ),
    inference(split,[status(esa)],[zip_derived_cl4395]) ).

thf(zip_derived_cl771_010,plain,
    ( ( c1_1 @ a614 )
   <= ( c1_1 @ a614 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl27,plain,
    ! [X33: $i,X34: $i,X35: $i] :
      ( ~ ( c1_1 @ X33 )
      | ~ ( c2_1 @ X33 )
      | ~ ( c3_1 @ X33 )
      | ~ ndr1_0
      | ~ ( c3_1 @ X34 )
      | ~ ( c2_1 @ X34 )
      | ~ ( c1_1 @ X34 )
      | ~ ndr1_0
      | ( c1_1 @ X35 )
      | ~ ( c2_1 @ X35 )
      | ~ ( c0_1 @ X35 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl431,plain,
    ( ! [X34: $i] :
        ( ~ ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 )
        | ~ ( c1_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ~ ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 )
        | ~ ( c1_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl4399,plain,
    ( ( ~ ( c3_1 @ a614 )
      | ~ ( c2_1 @ a614 ) )
   <= ( ! [X34: $i] :
          ( ~ ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 )
          | ~ ( c1_1 @ X34 ) )
      & ( c1_1 @ a614 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl771,zip_derived_cl431]) ).

thf('37',plain,
    ( ~ ( c3_1 @ a614 )
    | ~ ( c1_1 @ a614 )
    | ~ ! [X34: $i] :
          ( ~ ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 )
          | ~ ( c1_1 @ X34 ) )
    | ~ ( c2_1 @ a614 ) ),
    inference(split,[status(esa)],[zip_derived_cl4399]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp40
    | ( c2_1 @ a614 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl769,plain,
    ( ( c2_1 @ a614 )
   <= ( c2_1 @ a614 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl434_011,plain,
    ( ! [X37: $i] :
        ( ~ ( c2_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c0_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ~ ( c2_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c0_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl4384,plain,
    ( ( ( c3_1 @ a614 )
      | ~ ( c0_1 @ a614 ) )
   <= ( ! [X37: $i] :
          ( ~ ( c2_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c0_1 @ X37 ) )
      & ( c2_1 @ a614 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl769,zip_derived_cl434]) ).

thf('38',plain,
    ( ( c3_1 @ a614 )
    | ~ ! [X37: $i] :
          ( ~ ( c2_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c0_1 @ X37 ) )
    | ~ ( c2_1 @ a614 )
    | ~ ( c0_1 @ a614 ) ),
    inference(split,[status(esa)],[zip_derived_cl4384]) ).

thf(zip_derived_cl50,plain,
    ! [X79: $i,X80: $i] :
      ( hskp38
      | ( c2_1 @ X79 )
      | ( c1_1 @ X79 )
      | ( c0_1 @ X79 )
      | ~ ndr1_0
      | ~ ( c3_1 @ X80 )
      | ~ ( c1_1 @ X80 )
      | ( c0_1 @ X80 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl521,plain,
    ( ! [X79: $i] :
        ( ( c2_1 @ X79 )
        | ( c1_1 @ X79 )
        | ( c0_1 @ X79 ) )
   <= ! [X79: $i] :
        ( ( c2_1 @ X79 )
        | ( c1_1 @ X79 )
        | ( c0_1 @ X79 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl245,plain,
    ( ~ hskp20
    | ~ ( c1_1 @ a635 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl929,plain,
    ( ~ ( c1_1 @ a635 )
   <= ~ ( c1_1 @ a635 ) ),
    inference(split,[status(esa)],[zip_derived_cl245]) ).

thf(zip_derived_cl3527,plain,
    ( ( ( c0_1 @ a635 )
      | ( c2_1 @ a635 ) )
   <= ( ~ ( c1_1 @ a635 )
      & ! [X79: $i] :
          ( ( c2_1 @ X79 )
          | ( c1_1 @ X79 )
          | ( c0_1 @ X79 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl929]) ).

thf('39',plain,
    ( ( c0_1 @ a635 )
    | ( c2_1 @ a635 )
    | ~ ! [X79: $i] :
          ( ( c2_1 @ X79 )
          | ( c1_1 @ X79 )
          | ( c0_1 @ X79 ) )
    | ( c1_1 @ a635 ) ),
    inference(split,[status(esa)],[zip_derived_cl3527]) ).

thf('40',plain,
    ( ~ ( c1_1 @ a635 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl245]) ).

thf(zip_derived_cl246,plain,
    ( ~ hskp20
    | ~ ( c2_1 @ a635 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( ~ ( c2_1 @ a635 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl246]) ).

thf(zip_derived_cl56,plain,
    ! [X90: $i,X91: $i,X92: $i] :
      ( ( c2_1 @ X90 )
      | ~ ( c0_1 @ X90 )
      | ( c1_1 @ X90 )
      | ~ ndr1_0
      | ( c0_1 @ X91 )
      | ~ ( c3_1 @ X91 )
      | ~ ( c2_1 @ X91 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X92 )
      | ( c1_1 @ X92 )
      | ~ ( c2_1 @ X92 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('42',plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ( c2_1 @ X16 ) )
    | ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl25,plain,
    ! [X31: $i,X32: $i] :
      ( ~ ( c2_1 @ X31 )
      | ( c1_1 @ X31 )
      | ~ ( c3_1 @ X31 )
      | ~ ndr1_0
      | ( c3_1 @ X32 )
      | ( c2_1 @ X32 )
      | ~ ( c0_1 @ X32 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('43',plain,
    ( hskp20
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | ~ ndr1_0
    | ! [X19: $i] :
        ( ( c3_1 @ X19 )
        | ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp58
    | ~ ( c1_1 @ a663 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl627,plain,
    ( ~ ( c1_1 @ a663 )
   <= ~ ( c1_1 @ a663 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl3,plain,
    ! [X3: $i] :
      ( hskp62
      | hskp63
      | ( c1_1 @ X3 )
      | ( c3_1 @ X3 )
      | ( c2_1 @ X3 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl339,plain,
    ( ! [X3: $i] :
        ( ( c1_1 @ X3 )
        | ( c3_1 @ X3 )
        | ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c1_1 @ X3 )
        | ( c3_1 @ X3 )
        | ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl1964,plain,
    ( ( ( c3_1 @ a663 )
      | ( c2_1 @ a663 ) )
   <= ( ~ ( c1_1 @ a663 )
      & ! [X3: $i] :
          ( ( c1_1 @ X3 )
          | ( c3_1 @ X3 )
          | ( c2_1 @ X3 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl627,zip_derived_cl339]) ).

thf(zip_derived_cl11182,plain,
    ( ( c2_1 @ a663 )
   <= ( c2_1 @ a663 ) ),
    inference(split,[status(esa)],[zip_derived_cl1964]) ).

thf(zip_derived_cl462_012,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl11201,plain,
    ( ( ( c0_1 @ a663 )
      | ~ ( c3_1 @ a663 ) )
   <= ( ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
      & ( c2_1 @ a663 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11182,zip_derived_cl462]) ).

thf('44',plain,
    ( ~ ( c2_1 @ a663 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c3_1 @ a663 )
    | ( c0_1 @ a663 ) ),
    inference(split,[status(esa)],[zip_derived_cl11201]) ).

thf(zip_derived_cl478_013,plain,
    ( ! [X57: $i] :
        ( ~ ( c2_1 @ X57 )
        | ( c1_1 @ X57 )
        | ( c0_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ~ ( c2_1 @ X57 )
        | ( c1_1 @ X57 )
        | ( c0_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl627_014,plain,
    ( ~ ( c1_1 @ a663 )
   <= ~ ( c1_1 @ a663 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl3375,plain,
    ( ( ( c0_1 @ a663 )
      | ~ ( c2_1 @ a663 ) )
   <= ( ~ ( c1_1 @ a663 )
      & ! [X57: $i] :
          ( ~ ( c2_1 @ X57 )
          | ( c1_1 @ X57 )
          | ( c0_1 @ X57 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl627]) ).

thf('45',plain,
    ( ~ ! [X57: $i] :
          ( ~ ( c2_1 @ X57 )
          | ( c1_1 @ X57 )
          | ( c0_1 @ X57 ) )
    | ~ ( c2_1 @ a663 )
    | ( c0_1 @ a663 )
    | ( c1_1 @ a663 ) ),
    inference(split,[status(esa)],[zip_derived_cl3375]) ).

thf(zip_derived_cl627_015,plain,
    ( ~ ( c1_1 @ a663 )
   <= ~ ( c1_1 @ a663 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl403,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1968,plain,
    ( ( ~ ( c2_1 @ a663 )
      | ~ ( c3_1 @ a663 ) )
   <= ( ~ ( c1_1 @ a663 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl627,zip_derived_cl403]) ).

thf('46',plain,
    ( ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ~ ( c2_1 @ a663 )
    | ~ ( c3_1 @ a663 )
    | ( c1_1 @ a663 ) ),
    inference(split,[status(esa)],[zip_derived_cl1968]) ).

thf(zip_derived_cl478_016,plain,
    ( ! [X57: $i] :
        ( ~ ( c2_1 @ X57 )
        | ( c1_1 @ X57 )
        | ( c0_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ~ ( c2_1 @ X57 )
        | ( c1_1 @ X57 )
        | ( c0_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp56
    | ~ ( c1_1 @ a658 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl641,plain,
    ( ~ ( c1_1 @ a658 )
   <= ~ ( c1_1 @ a658 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl3374,plain,
    ( ( ( c0_1 @ a658 )
      | ~ ( c2_1 @ a658 ) )
   <= ( ~ ( c1_1 @ a658 )
      & ! [X57: $i] :
          ( ~ ( c2_1 @ X57 )
          | ( c1_1 @ X57 )
          | ( c0_1 @ X57 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl641]) ).

thf('47',plain,
    ( ~ ! [X57: $i] :
          ( ~ ( c2_1 @ X57 )
          | ( c1_1 @ X57 )
          | ( c0_1 @ X57 ) )
    | ( c0_1 @ a658 )
    | ( c1_1 @ a658 )
    | ~ ( c2_1 @ a658 ) ),
    inference(split,[status(esa)],[zip_derived_cl3374]) ).

thf('48',plain,
    ( ! [X79: $i] :
        ( ( c2_1 @ X79 )
        | ( c1_1 @ X79 )
        | ( c0_1 @ X79 ) )
    | ! [X57: $i] :
        ( ~ ( c2_1 @ X57 )
        | ( c1_1 @ X57 )
        | ( c0_1 @ X57 ) )
    | ~ ndr1_0
    | ! [X82: $i] :
        ( ~ ( c2_1 @ X82 )
        | ( c1_1 @ X82 )
        | ( c3_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl521_017,plain,
    ( ! [X79: $i] :
        ( ( c2_1 @ X79 )
        | ( c1_1 @ X79 )
        | ( c0_1 @ X79 ) )
   <= ! [X79: $i] :
        ( ( c2_1 @ X79 )
        | ( c1_1 @ X79 )
        | ( c0_1 @ X79 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl627_018,plain,
    ( ~ ( c1_1 @ a663 )
   <= ~ ( c1_1 @ a663 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl3540,plain,
    ( ( ( c0_1 @ a663 )
      | ( c2_1 @ a663 ) )
   <= ( ~ ( c1_1 @ a663 )
      & ! [X79: $i] :
          ( ( c2_1 @ X79 )
          | ( c1_1 @ X79 )
          | ( c0_1 @ X79 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl627]) ).

thf('49',plain,
    ( ( c2_1 @ a663 )
    | ~ ! [X79: $i] :
          ( ( c2_1 @ X79 )
          | ( c1_1 @ X79 )
          | ( c0_1 @ X79 ) )
    | ( c1_1 @ a663 )
    | ( c0_1 @ a663 ) ),
    inference(split,[status(esa)],[zip_derived_cl3540]) ).

thf(zip_derived_cl627_019,plain,
    ( ~ ( c1_1 @ a663 )
   <= ~ ( c1_1 @ a663 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl369_020,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1966,plain,
    ( ( ( c2_1 @ a663 )
      | ~ ( c3_1 @ a663 ) )
   <= ( ~ ( c1_1 @ a663 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl627,zip_derived_cl369]) ).

thf('50',plain,
    ( ( c2_1 @ a663 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ( c1_1 @ a663 )
    | ~ ( c3_1 @ a663 ) ),
    inference(split,[status(esa)],[zip_derived_cl1966]) ).

thf(zip_derived_cl526_021,plain,
    ( ! [X82: $i] :
        ( ~ ( c2_1 @ X82 )
        | ( c1_1 @ X82 )
        | ( c3_1 @ X82 ) )
   <= ! [X82: $i] :
        ( ~ ( c2_1 @ X82 )
        | ( c1_1 @ X82 )
        | ( c3_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl66,plain,
    ( ~ hskp65
    | ~ ( c1_1 @ a674 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl571,plain,
    ( ~ ( c1_1 @ a674 )
   <= ~ ( c1_1 @ a674 ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl3670,plain,
    ( ( ( c3_1 @ a674 )
      | ~ ( c2_1 @ a674 ) )
   <= ( ~ ( c1_1 @ a674 )
      & ! [X82: $i] :
          ( ~ ( c2_1 @ X82 )
          | ( c1_1 @ X82 )
          | ( c3_1 @ X82 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl571]) ).

thf('51',plain,
    ( ~ ! [X82: $i] :
          ( ~ ( c2_1 @ X82 )
          | ( c1_1 @ X82 )
          | ( c3_1 @ X82 ) )
    | ( c3_1 @ a674 )
    | ~ ( c2_1 @ a674 )
    | ( c1_1 @ a674 ) ),
    inference(split,[status(esa)],[zip_derived_cl3670]) ).

thf(zip_derived_cl65,plain,
    ( ~ hskp65
    | ( c2_1 @ a674 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl569,plain,
    ( ( c2_1 @ a674 )
   <= ( c2_1 @ a674 ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl38,plain,
    ! [X53: $i,X54: $i,X55: $i] :
      ( ~ ( c2_1 @ X53 )
      | ~ ( c0_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ndr1_0
      | ~ ( c2_1 @ X54 )
      | ( c3_1 @ X54 )
      | ~ ( c0_1 @ X54 )
      | ~ ndr1_0
      | ~ ( c3_1 @ X55 )
      | ~ ( c0_1 @ X55 )
      | ~ ( c2_1 @ X55 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl473,plain,
    ( ! [X55: $i] :
        ( ~ ( c3_1 @ X55 )
        | ~ ( c0_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
   <= ! [X55: $i] :
        ( ~ ( c3_1 @ X55 )
        | ~ ( c0_1 @ X55 )
        | ~ ( c2_1 @ X55 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl3626,plain,
    ( ( ~ ( c3_1 @ a674 )
      | ~ ( c0_1 @ a674 ) )
   <= ( ! [X55: $i] :
          ( ~ ( c3_1 @ X55 )
          | ~ ( c0_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
      & ( c2_1 @ a674 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl473]) ).

thf('52',plain,
    ( ~ ( c3_1 @ a674 )
    | ~ ! [X55: $i] :
          ( ~ ( c3_1 @ X55 )
          | ~ ( c0_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
    | ~ ( c0_1 @ a674 )
    | ~ ( c2_1 @ a674 ) ),
    inference(split,[status(esa)],[zip_derived_cl3626]) ).

thf(zip_derived_cl14,plain,
    ! [X16: $i] :
      ( hskp26
      | hskp55
      | ( c1_1 @ X16 )
      | ~ ( c0_1 @ X16 )
      | ( c2_1 @ X16 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl379,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ( c2_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ( c2_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl396_022,plain,
    ( ! [X20: $i] :
        ( ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 )
        | ( c2_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 )
        | ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1318,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) )
      & ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ( c2_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl396]) ).

thf(zip_derived_cl1323,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) )
      & ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ( c2_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1318]) ).

thf(zip_derived_cl199,plain,
    ( ~ hskp32
    | ~ ( c2_1 @ a677 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl837,plain,
    ( ~ ( c2_1 @ a677 )
   <= ~ ( c2_1 @ a677 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl2375,plain,
    ( ~ ( c0_1 @ a677 )
   <= ( ~ ( c2_1 @ a677 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) )
      & ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ( c2_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1323,zip_derived_cl837]) ).

thf(zip_derived_cl197,plain,
    ( ~ hskp32
    | ( c0_1 @ a677 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl833,plain,
    ( ( c0_1 @ a677 )
   <= ( c0_1 @ a677 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf('53',plain,
    ( ~ ( c0_1 @ a677 )
    | ( c2_1 @ a677 )
    | ~ ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ( c2_1 @ X20 ) )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2375,zip_derived_cl833]) ).

thf(zip_derived_cl837_023,plain,
    ( ~ ( c2_1 @ a677 )
   <= ~ ( c2_1 @ a677 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl17,plain,
    ! [X19: $i] :
      ( hskp25
      | ( c3_1 @ X19 )
      | ( c2_1 @ X19 )
      | ~ ( c0_1 @ X19 )
      | ~ ndr1_0
      | hskp52 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl391,plain,
    ( ! [X19: $i] :
        ( ( c3_1 @ X19 )
        | ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c3_1 @ X19 )
        | ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl2367,plain,
    ( ( ( c3_1 @ a677 )
      | ~ ( c0_1 @ a677 ) )
   <= ( ~ ( c2_1 @ a677 )
      & ! [X19: $i] :
          ( ( c3_1 @ X19 )
          | ( c2_1 @ X19 )
          | ~ ( c0_1 @ X19 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl837,zip_derived_cl391]) ).

thf('54',plain,
    ( ~ ! [X19: $i] :
          ( ( c3_1 @ X19 )
          | ( c2_1 @ X19 )
          | ~ ( c0_1 @ X19 ) )
    | ( c3_1 @ a677 )
    | ( c2_1 @ a677 )
    | ~ ( c0_1 @ a677 ) ),
    inference(split,[status(esa)],[zip_derived_cl2367]) ).

thf(zip_derived_cl205,plain,
    ( ~ hskp30
    | ~ ( c2_1 @ a666 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl849,plain,
    ( ~ ( c2_1 @ a666 )
   <= ~ ( c2_1 @ a666 ) ),
    inference(split,[status(esa)],[zip_derived_cl205]) ).

thf(zip_derived_cl391_024,plain,
    ( ! [X19: $i] :
        ( ( c3_1 @ X19 )
        | ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c3_1 @ X19 )
        | ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl2417,plain,
    ( ( ( c3_1 @ a666 )
      | ~ ( c0_1 @ a666 ) )
   <= ( ~ ( c2_1 @ a666 )
      & ! [X19: $i] :
          ( ( c3_1 @ X19 )
          | ( c2_1 @ X19 )
          | ~ ( c0_1 @ X19 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl849,zip_derived_cl391]) ).

thf('55',plain,
    ( ~ ! [X19: $i] :
          ( ( c3_1 @ X19 )
          | ( c2_1 @ X19 )
          | ~ ( c0_1 @ X19 ) )
    | ( c2_1 @ a666 )
    | ~ ( c0_1 @ a666 )
    | ( c3_1 @ a666 ) ),
    inference(split,[status(esa)],[zip_derived_cl2417]) ).

thf('56',plain,
    ( ! [X34: $i] :
        ( ~ ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 )
        | ~ ( c1_1 @ X34 ) )
    | ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl305,plain,
    ( ~ hskp5
    | ~ ( c0_1 @ a606 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( ~ ( c0_1 @ a606 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl305]) ).

thf(zip_derived_cl306,plain,
    ( ~ hskp5
    | ( c2_1 @ a606 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('58',plain,
    ( ( c2_1 @ a606 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl306]) ).

thf(zip_derived_cl307,plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a606 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('59',plain,
    ( ~ ( c3_1 @ a606 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl307]) ).

thf('60',plain,
    ( hskp5
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
    | ~ ndr1_0
    | ! [X20: $i] :
        ( ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 )
        | ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl221,plain,
    ( ~ hskp26
    | ~ ( c1_1 @ a652 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl881,plain,
    ( ~ ( c1_1 @ a652 )
   <= ~ ( c1_1 @ a652 ) ),
    inference(split,[status(esa)],[zip_derived_cl221]) ).

thf(zip_derived_cl369_025,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl2570,plain,
    ( ( ( c2_1 @ a652 )
      | ~ ( c3_1 @ a652 ) )
   <= ( ~ ( c1_1 @ a652 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl881,zip_derived_cl369]) ).

thf('61',plain,
    ( ( c1_1 @ a652 )
    | ( c2_1 @ a652 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c3_1 @ a652 ) ),
    inference(split,[status(esa)],[zip_derived_cl2570]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp41
    | ( c2_1 @ a617 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl761,plain,
    ( ( c2_1 @ a617 )
   <= ( c2_1 @ a617 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl462_026,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl4337,plain,
    ( ( ( c0_1 @ a617 )
      | ~ ( c3_1 @ a617 ) )
   <= ( ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
      & ( c2_1 @ a617 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl761,zip_derived_cl462]) ).

thf('62',plain,
    ( ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ( c0_1 @ a617 )
    | ~ ( c3_1 @ a617 )
    | ~ ( c2_1 @ a617 ) ),
    inference(split,[status(esa)],[zip_derived_cl4337]) ).

thf(zip_derived_cl249,plain,
    ( ~ hskp19
    | ~ ( c1_1 @ a634 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( ~ ( c1_1 @ a634 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl249]) ).

thf(zip_derived_cl250,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a634 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( ~ ( c0_1 @ a634 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl250]) ).

thf(zip_derived_cl251,plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a634 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('65',plain,
    ( ~ ( c3_1 @ a634 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl251]) ).

thf(zip_derived_cl26,plain,
    ( hskp18
    | hskp9
    | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( hskp19
    | hskp9
    | hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl289,plain,
    ( ~ hskp9
    | ( c1_1 @ a613 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('67',plain,
    ( ( c1_1 @ a613 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl289]) ).

thf(zip_derived_cl290,plain,
    ( ~ hskp9
    | ( c2_1 @ a613 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( ( c2_1 @ a613 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl291,plain,
    ( ~ hskp9
    | ~ ( c3_1 @ a613 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('69',plain,
    ( ~ ( c3_1 @ a613 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl291]) ).

thf(zip_derived_cl1017,plain,
    ( ( c1_1 @ a613 )
   <= ( c1_1 @ a613 ) ),
    inference(split,[status(esa)],[zip_derived_cl289]) ).

thf(zip_derived_cl59,plain,
    ! [X94: $i,X95: $i,X96: $i] :
      ( ( c2_1 @ X94 )
      | ~ ( c3_1 @ X94 )
      | ~ ( c0_1 @ X94 )
      | ~ ndr1_0
      | ~ ( c2_1 @ X95 )
      | ( c0_1 @ X95 )
      | ~ ( c3_1 @ X95 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X96 )
      | ~ ( c2_1 @ X96 )
      | ( c3_1 @ X96 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl557,plain,
    ( ! [X96: $i] :
        ( ~ ( c1_1 @ X96 )
        | ~ ( c2_1 @ X96 )
        | ( c3_1 @ X96 ) )
   <= ! [X96: $i] :
        ( ~ ( c1_1 @ X96 )
        | ~ ( c2_1 @ X96 )
        | ( c3_1 @ X96 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl4942,plain,
    ( ( ~ ( c2_1 @ a613 )
      | ( c3_1 @ a613 ) )
   <= ( ! [X96: $i] :
          ( ~ ( c1_1 @ X96 )
          | ~ ( c2_1 @ X96 )
          | ( c3_1 @ X96 ) )
      & ( c1_1 @ a613 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1017,zip_derived_cl557]) ).

thf('70',plain,
    ( ~ ( c2_1 @ a613 )
    | ( c3_1 @ a613 )
    | ~ ! [X96: $i] :
          ( ~ ( c1_1 @ X96 )
          | ~ ( c2_1 @ X96 )
          | ( c3_1 @ X96 ) )
    | ~ ( c1_1 @ a613 ) ),
    inference(split,[status(esa)],[zip_derived_cl4942]) ).

thf('71',plain,
    ( ! [X96: $i] :
        ( ~ ( c1_1 @ X96 )
        | ~ ( c2_1 @ X96 )
        | ( c3_1 @ X96 ) )
    | ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
    | ~ ndr1_0
    | ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp61
    | ( c2_1 @ a670 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl605,plain,
    ( ( c2_1 @ a670 )
   <= ( c2_1 @ a670 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl462_027,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl3811,plain,
    ( ( ( c0_1 @ a670 )
      | ~ ( c3_1 @ a670 ) )
   <= ( ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
      & ( c2_1 @ a670 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl605,zip_derived_cl462]) ).

thf('72',plain,
    ( ~ ( c3_1 @ a670 )
    | ( c0_1 @ a670 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c2_1 @ a670 ) ),
    inference(split,[status(esa)],[zip_derived_cl3811]) ).

thf(zip_derived_cl605_028,plain,
    ( ( c2_1 @ a670 )
   <= ( c2_1 @ a670 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl360_029,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl5,plain,
    ! [X4: $i,X5: $i] :
      ( ~ ( c2_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ( c0_1 @ X4 )
      | ~ ndr1_0
      | hskp31
      | ~ ( c2_1 @ X5 )
      | ( c1_1 @ X5 )
      | ~ ( c0_1 @ X5 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl347,plain,
    ( ! [X4: $i] :
        ( ~ ( c2_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ( c0_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c2_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ( c0_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl1151,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ( c0_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c2_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ( c0_1 @ X4 ) )
      & ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c1_1 @ X10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl360,zip_derived_cl347]) ).

thf(zip_derived_cl1153,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c0_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c2_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ( c0_1 @ X4 ) )
      & ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c1_1 @ X10 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1151]) ).

thf(zip_derived_cl3804,plain,
    ( ( ( c3_1 @ a670 )
      | ( c0_1 @ a670 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c2_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ( c0_1 @ X4 ) )
      & ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c1_1 @ X10 ) )
      & ( c2_1 @ a670 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl605,zip_derived_cl1153]) ).

thf('73',plain,
    ( ( c3_1 @ a670 )
    | ~ ( c2_1 @ a670 )
    | ~ ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c1_1 @ X10 ) )
    | ( c0_1 @ a670 )
    | ~ ! [X4: $i] :
          ( ~ ( c2_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ( c0_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3804]) ).

thf(zip_derived_cl333_030,plain,
    ( ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ( c1_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ( c1_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl396_031,plain,
    ( ! [X20: $i] :
        ( ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 )
        | ( c2_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 )
        | ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1313,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ( c1_1 @ X1 ) )
      & ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ( c2_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl396]) ).

thf(zip_derived_cl1320,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ( c1_1 @ X1 ) )
      & ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ( c2_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1313]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp33
    | ~ ( c2_1 @ a599 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl825,plain,
    ( ~ ( c2_1 @ a599 )
   <= ~ ( c2_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl2352,plain,
    ( ( ~ ( c0_1 @ a599 )
      | ~ ( c3_1 @ a599 ) )
   <= ( ~ ( c2_1 @ a599 )
      & ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ( c1_1 @ X1 ) )
      & ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ( c2_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1320,zip_derived_cl825]) ).

thf('74',plain,
    ( ( c2_1 @ a599 )
    | ~ ( c3_1 @ a599 )
    | ~ ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ( c2_1 @ X20 ) )
    | ~ ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ( c1_1 @ X1 ) )
    | ~ ( c0_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl2352]) ).

thf(zip_derived_cl253,plain,
    ( ~ hskp18
    | ( c0_1 @ a632 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('75',plain,
    ( ~ hskp18
    | ( c0_1 @ a632 ) ),
    inference(split,[status(esa)],[zip_derived_cl253]) ).

thf(zip_derived_cl254,plain,
    ( ~ hskp18
    | ( c3_1 @ a632 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('76',plain,
    ( ~ hskp18
    | ( c3_1 @ a632 ) ),
    inference(split,[status(esa)],[zip_derived_cl254]) ).

thf(zip_derived_cl255,plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a632 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a632 ) ),
    inference(split,[status(esa)],[zip_derived_cl255]) ).

thf(zip_derived_cl949,plain,
    ( ~ ( c1_1 @ a632 )
   <= ~ ( c1_1 @ a632 ) ),
    inference(split,[status(esa)],[zip_derived_cl255]) ).

thf(zip_derived_cl333_032,plain,
    ( ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ( c1_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ( c1_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl2809,plain,
    ( ( ~ ( c3_1 @ a632 )
      | ~ ( c0_1 @ a632 ) )
   <= ( ~ ( c1_1 @ a632 )
      & ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ( c1_1 @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl949,zip_derived_cl333]) ).

thf('78',plain,
    ( ( c1_1 @ a632 )
    | ~ ( c0_1 @ a632 )
    | ~ ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ( c1_1 @ X1 ) )
    | ~ ( c3_1 @ a632 ) ),
    inference(split,[status(esa)],[zip_derived_cl2809]) ).

thf(zip_derived_cl46,plain,
    ! [X72: $i,X73: $i,X74: $i] :
      ( ( c2_1 @ X72 )
      | ~ ( c3_1 @ X72 )
      | ~ ( c0_1 @ X72 )
      | ~ ndr1_0
      | ~ ( c3_1 @ X73 )
      | ( c1_1 @ X73 )
      | ~ ( c0_1 @ X73 )
      | ~ ndr1_0
      | ( c3_1 @ X74 )
      | ( c0_1 @ X74 )
      | ( c2_1 @ X74 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( ! [X29: $i] :
        ( ( c3_1 @ X29 )
        | ( c0_1 @ X29 )
        | ( c2_1 @ X29 ) )
    | ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ( c1_1 @ X1 ) )
    | ~ ndr1_0
    | ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl43,plain,
    ! [X66: $i,X67: $i,X68: $i] :
      ( ( c3_1 @ X66 )
      | ( c2_1 @ X66 )
      | ( c0_1 @ X66 )
      | ~ ndr1_0
      | ~ ( c3_1 @ X67 )
      | ( c2_1 @ X67 )
      | ~ ( c0_1 @ X67 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X68 )
      | ~ ( c2_1 @ X68 )
      | ( c0_1 @ X68 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( ! [X29: $i] :
        ( ( c3_1 @ X29 )
        | ( c0_1 @ X29 )
        | ( c2_1 @ X29 ) )
    | ! [X4: $i] :
        ( ~ ( c2_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ( c0_1 @ X4 ) )
    | ~ ndr1_0
    | ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp42
    | ~ ( c2_1 @ a618 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl753,plain,
    ( ~ ( c2_1 @ a618 )
   <= ~ ( c2_1 @ a618 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl23,plain,
    ! [X27: $i,X28: $i,X29: $i] :
      ( ( c2_1 @ X27 )
      | ( c0_1 @ X27 )
      | ( c3_1 @ X27 )
      | ~ ndr1_0
      | ( c3_1 @ X28 )
      | ( c1_1 @ X28 )
      | ( c0_1 @ X28 )
      | ~ ndr1_0
      | ( c3_1 @ X29 )
      | ( c0_1 @ X29 )
      | ( c2_1 @ X29 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl415,plain,
    ( ! [X29: $i] :
        ( ( c3_1 @ X29 )
        | ( c0_1 @ X29 )
        | ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c3_1 @ X29 )
        | ( c0_1 @ X29 )
        | ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl2242,plain,
    ( ( ( c3_1 @ a618 )
      | ( c0_1 @ a618 ) )
   <= ( ~ ( c2_1 @ a618 )
      & ! [X29: $i] :
          ( ( c3_1 @ X29 )
          | ( c0_1 @ X29 )
          | ( c2_1 @ X29 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl753,zip_derived_cl415]) ).

thf('81',plain,
    ( ( c0_1 @ a618 )
    | ( c3_1 @ a618 )
    | ~ ! [X29: $i] :
          ( ( c3_1 @ X29 )
          | ( c0_1 @ X29 )
          | ( c2_1 @ X29 ) )
    | ( c2_1 @ a618 ) ),
    inference(split,[status(esa)],[zip_derived_cl2242]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp42
    | ( c1_1 @ a618 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl757,plain,
    ( ( c1_1 @ a618 )
   <= ( c1_1 @ a618 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl396_033,plain,
    ( ! [X20: $i] :
        ( ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 )
        | ( c2_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 )
        | ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl4323,plain,
    ( ( ~ ( c0_1 @ a618 )
      | ( c2_1 @ a618 ) )
   <= ( ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ( c2_1 @ X20 ) )
      & ( c1_1 @ a618 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl757,zip_derived_cl396]) ).

thf('82',plain,
    ( ~ ( c0_1 @ a618 )
    | ( c2_1 @ a618 )
    | ~ ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ( c2_1 @ X20 ) )
    | ~ ( c1_1 @ a618 ) ),
    inference(split,[status(esa)],[zip_derived_cl4323]) ).

thf(zip_derived_cl937,plain,
    ( ~ ( c1_1 @ a634 )
   <= ~ ( c1_1 @ a634 ) ),
    inference(split,[status(esa)],[zip_derived_cl249]) ).

thf(zip_derived_cl360_034,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl2769,plain,
    ( ( ( c3_1 @ a634 )
      | ( c0_1 @ a634 ) )
   <= ( ~ ( c1_1 @ a634 )
      & ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c1_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl937,zip_derived_cl360]) ).

thf('83',plain,
    ( ( c1_1 @ a634 )
    | ( c0_1 @ a634 )
    | ~ ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c1_1 @ X10 ) )
    | ( c3_1 @ a634 ) ),
    inference(split,[status(esa)],[zip_derived_cl2769]) ).

thf(zip_derived_cl326,plain,
    ( ~ hskp0
    | ~ ( c3_1 @ a597 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( ~ ( c3_1 @ a597 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl326]) ).

thf(zip_derived_cl327,plain,
    ( ~ hskp0
    | ~ ( c1_1 @ a597 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1093,plain,
    ( ~ ( c1_1 @ a597 )
   <= ~ ( c1_1 @ a597 ) ),
    inference(split,[status(esa)],[zip_derived_cl327]) ).

thf(zip_derived_cl339_035,plain,
    ( ! [X3: $i] :
        ( ( c1_1 @ X3 )
        | ( c3_1 @ X3 )
        | ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c1_1 @ X3 )
        | ( c3_1 @ X3 )
        | ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl3463,plain,
    ( ( ( c3_1 @ a597 )
      | ( c2_1 @ a597 ) )
   <= ( ~ ( c1_1 @ a597 )
      & ! [X3: $i] :
          ( ( c1_1 @ X3 )
          | ( c3_1 @ X3 )
          | ( c2_1 @ X3 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1093,zip_derived_cl339]) ).

thf('85',plain,
    ( ( c3_1 @ a597 )
    | ( c1_1 @ a597 )
    | ~ ! [X3: $i] :
          ( ( c1_1 @ X3 )
          | ( c3_1 @ X3 )
          | ( c2_1 @ X3 ) )
    | ( c2_1 @ a597 ) ),
    inference(split,[status(esa)],[zip_derived_cl3463]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp38
    | ( c1_1 @ a608 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl785,plain,
    ( ( c1_1 @ a608 )
   <= ( c1_1 @ a608 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl431_036,plain,
    ( ! [X34: $i] :
        ( ~ ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 )
        | ~ ( c1_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ~ ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 )
        | ~ ( c1_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl4455,plain,
    ( ( ~ ( c3_1 @ a608 )
      | ~ ( c2_1 @ a608 ) )
   <= ( ! [X34: $i] :
          ( ~ ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 )
          | ~ ( c1_1 @ X34 ) )
      & ( c1_1 @ a608 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl785,zip_derived_cl431]) ).

thf(zip_derived_cl9861,plain,
    ( ~ ( c2_1 @ a608 )
   <= ~ ( c2_1 @ a608 ) ),
    inference(split,[status(esa)],[zip_derived_cl4455]) ).

thf(zip_derived_cl7,plain,
    ! [X6: $i] :
      ( ( c2_1 @ X6 )
      | ~ ( c3_1 @ X6 )
      | ~ ( c0_1 @ X6 )
      | ~ ndr1_0
      | hskp58
      | hskp41 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl352,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl9875,plain,
    ( ( ~ ( c3_1 @ a608 )
      | ~ ( c0_1 @ a608 ) )
   <= ( ~ ( c2_1 @ a608 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl9861,zip_derived_cl352]) ).

thf('86',plain,
    ( ( c2_1 @ a608 )
    | ~ ( c3_1 @ a608 )
    | ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
    | ~ ( c0_1 @ a608 ) ),
    inference(split,[status(esa)],[zip_derived_cl9875]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp38
    | ( c3_1 @ a608 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('87',plain,
    ( ( c3_1 @ a608 )
    | ~ hskp38 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp38
    | ( c0_1 @ a608 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( ( c0_1 @ a608 )
    | ~ hskp38 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf('89',plain,
    ( hskp38
    | ! [X79: $i] :
        ( ( c2_1 @ X79 )
        | ( c1_1 @ X79 )
        | ( c0_1 @ X79 ) )
    | ~ ndr1_0
    | ! [X23: $i] :
        ( ~ ( c1_1 @ X23 )
        | ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl62,plain,
    ( ~ hskp66
    | ~ ( c2_1 @ a675 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl563,plain,
    ( ~ ( c2_1 @ a675 )
   <= ~ ( c2_1 @ a675 ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl352_037,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1772,plain,
    ( ( ~ ( c3_1 @ a675 )
      | ~ ( c0_1 @ a675 ) )
   <= ( ~ ( c2_1 @ a675 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl563,zip_derived_cl352]) ).

thf('90',plain,
    ( ~ ( c0_1 @ a675 )
    | ( c2_1 @ a675 )
    | ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
    | ~ ( c3_1 @ a675 ) ),
    inference(split,[status(esa)],[zip_derived_cl1772]) ).

thf(zip_derived_cl71,plain,
    ( ~ hskp64
    | ( c1_1 @ a673 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl581,plain,
    ( ( c1_1 @ a673 )
   <= ( c1_1 @ a673 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl399,plain,
    ( ! [X23: $i] :
        ( ~ ( c1_1 @ X23 )
        | ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ~ ( c1_1 @ X23 )
        | ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl3738,plain,
    ( ( ( c0_1 @ a673 )
      | ~ ( c3_1 @ a673 ) )
   <= ( ! [X23: $i] :
          ( ~ ( c1_1 @ X23 )
          | ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c1_1 @ a673 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl399]) ).

thf('91',plain,
    ( ~ ! [X23: $i] :
          ( ~ ( c1_1 @ X23 )
          | ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c3_1 @ a673 )
    | ( c0_1 @ a673 )
    | ~ ( c1_1 @ a673 ) ),
    inference(split,[status(esa)],[zip_derived_cl3738]) ).

thf(zip_derived_cl61,plain,
    ( ~ hskp66
    | ( c1_1 @ a675 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl561,plain,
    ( ( c1_1 @ a675 )
   <= ( c1_1 @ a675 ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl399_038,plain,
    ( ! [X23: $i] :
        ( ~ ( c1_1 @ X23 )
        | ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ~ ( c1_1 @ X23 )
        | ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl3582,plain,
    ( ( ( c0_1 @ a675 )
      | ~ ( c3_1 @ a675 ) )
   <= ( ! [X23: $i] :
          ( ~ ( c1_1 @ X23 )
          | ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c1_1 @ a675 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl561,zip_derived_cl399]) ).

thf('92',plain,
    ( ( c0_1 @ a675 )
    | ~ ( c1_1 @ a675 )
    | ~ ! [X23: $i] :
          ( ~ ( c1_1 @ X23 )
          | ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c3_1 @ a675 ) ),
    inference(split,[status(esa)],[zip_derived_cl3582]) ).

thf(zip_derived_cl521_039,plain,
    ( ! [X79: $i] :
        ( ( c2_1 @ X79 )
        | ( c1_1 @ X79 )
        | ( c0_1 @ X79 ) )
   <= ! [X79: $i] :
        ( ( c2_1 @ X79 )
        | ( c1_1 @ X79 )
        | ( c0_1 @ X79 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl259,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a628 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl957,plain,
    ( ~ ( c1_1 @ a628 )
   <= ~ ( c1_1 @ a628 ) ),
    inference(split,[status(esa)],[zip_derived_cl259]) ).

thf(zip_derived_cl3524,plain,
    ( ( ( c0_1 @ a628 )
      | ( c2_1 @ a628 ) )
   <= ( ~ ( c1_1 @ a628 )
      & ! [X79: $i] :
          ( ( c2_1 @ X79 )
          | ( c1_1 @ X79 )
          | ( c0_1 @ X79 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl957]) ).

thf('93',plain,
    ( ( c0_1 @ a628 )
    | ( c1_1 @ a628 )
    | ~ ! [X79: $i] :
          ( ( c2_1 @ X79 )
          | ( c1_1 @ X79 )
          | ( c0_1 @ X79 ) )
    | ( c2_1 @ a628 ) ),
    inference(split,[status(esa)],[zip_derived_cl3524]) ).

thf(zip_derived_cl957_040,plain,
    ( ~ ( c1_1 @ a628 )
   <= ~ ( c1_1 @ a628 ) ),
    inference(split,[status(esa)],[zip_derived_cl259]) ).

thf(zip_derived_cl369_041,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl2876,plain,
    ( ( ( c2_1 @ a628 )
      | ~ ( c3_1 @ a628 ) )
   <= ( ~ ( c1_1 @ a628 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl957,zip_derived_cl369]) ).

thf(zip_derived_cl14307,plain,
    ( ( c2_1 @ a628 )
   <= ( c2_1 @ a628 ) ),
    inference(split,[status(esa)],[zip_derived_cl2876]) ).

thf(zip_derived_cl473_042,plain,
    ( ! [X55: $i] :
        ( ~ ( c3_1 @ X55 )
        | ~ ( c0_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
   <= ! [X55: $i] :
        ( ~ ( c3_1 @ X55 )
        | ~ ( c0_1 @ X55 )
        | ~ ( c2_1 @ X55 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl14333,plain,
    ( ( ~ ( c3_1 @ a628 )
      | ~ ( c0_1 @ a628 ) )
   <= ( ! [X55: $i] :
          ( ~ ( c3_1 @ X55 )
          | ~ ( c0_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
      & ( c2_1 @ a628 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14307,zip_derived_cl473]) ).

thf('94',plain,
    ( ~ ( c2_1 @ a628 )
    | ~ ( c0_1 @ a628 )
    | ~ ! [X55: $i] :
          ( ~ ( c3_1 @ X55 )
          | ~ ( c0_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
    | ~ ( c3_1 @ a628 ) ),
    inference(split,[status(esa)],[zip_derived_cl14333]) ).

thf(zip_derived_cl258,plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a628 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl955,plain,
    ( ~ ( c2_1 @ a628 )
   <= ~ ( c2_1 @ a628 ) ),
    inference(split,[status(esa)],[zip_derived_cl258]) ).

thf(zip_derived_cl352_043,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl2826,plain,
    ( ( ~ ( c3_1 @ a628 )
      | ~ ( c0_1 @ a628 ) )
   <= ( ~ ( c2_1 @ a628 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl955,zip_derived_cl352]) ).

thf('95',plain,
    ( ~ ( c0_1 @ a628 )
    | ~ ( c3_1 @ a628 )
    | ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
    | ( c2_1 @ a628 ) ),
    inference(split,[status(esa)],[zip_derived_cl2826]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp54
    | ( c3_1 @ a651 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('96',plain,
    ( ( c3_1 @ a651 )
    | ~ hskp54 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp54
    | ~ ( c0_1 @ a651 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('97',plain,
    ( ~ ( c0_1 @ a651 )
    | ~ hskp54 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp54
    | ( c2_1 @ a651 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('98',plain,
    ( ( c2_1 @ a651 )
    | ~ hskp54 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl15,plain,
    ! [X17: $i] :
      ( hskp37
      | hskp54
      | ( c3_1 @ X17 )
      | ~ ( c2_1 @ X17 )
      | ( c0_1 @ X17 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( hskp54
    | ! [X15: $i] :
        ( ~ ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ( c0_1 @ X15 ) )
    | ~ ndr1_0
    | hskp37 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf('100',plain,
    ( ( c1_1 @ a607 )
    | ~ hskp37 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp37
    | ~ ( c2_1 @ a607 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( ~ ( c2_1 @ a607 )
    | ~ hskp37 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp37
    | ( c0_1 @ a607 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('102',plain,
    ( ( c0_1 @ a607 )
    | ~ hskp37 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl793_044,plain,
    ( ( c1_1 @ a607 )
   <= ( c1_1 @ a607 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl396_045,plain,
    ( ! [X20: $i] :
        ( ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 )
        | ( c2_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 )
        | ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl4541,plain,
    ( ( ~ ( c0_1 @ a607 )
      | ( c2_1 @ a607 ) )
   <= ( ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ( c2_1 @ X20 ) )
      & ( c1_1 @ a607 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl793,zip_derived_cl396]) ).

thf('103',plain,
    ( ~ ( c1_1 @ a607 )
    | ( c2_1 @ a607 )
    | ~ ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ( c2_1 @ X20 ) )
    | ~ ( c0_1 @ a607 ) ),
    inference(split,[status(esa)],[zip_derived_cl4541]) ).

thf('104',plain,
    ( hskp26
    | ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ( c2_1 @ X16 ) )
    | ~ ndr1_0
    | hskp55 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl223,plain,
    ( ~ hskp26
    | ~ ( c2_1 @ a652 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('105',plain,
    ( ~ ( c2_1 @ a652 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl223]) ).

thf(zip_derived_cl885,plain,
    ( ~ ( c2_1 @ a652 )
   <= ~ ( c2_1 @ a652 ) ),
    inference(split,[status(esa)],[zip_derived_cl223]) ).

thf(zip_derived_cl352_046,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl2583,plain,
    ( ( ~ ( c3_1 @ a652 )
      | ~ ( c0_1 @ a652 ) )
   <= ( ~ ( c2_1 @ a652 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl885,zip_derived_cl352]) ).

thf('106',plain,
    ( ~ ( c0_1 @ a652 )
    | ~ ( c3_1 @ a652 )
    | ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
    | ( c2_1 @ a652 ) ),
    inference(split,[status(esa)],[zip_derived_cl2583]) ).

thf('107',plain,
    ( ~ ( c1_1 @ a652 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl221]) ).

thf(zip_derived_cl222,plain,
    ( ~ hskp26
    | ( c3_1 @ a652 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( ( c3_1 @ a652 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl222]) ).

thf(zip_derived_cl881_047,plain,
    ( ~ ( c1_1 @ a652 )
   <= ~ ( c1_1 @ a652 ) ),
    inference(split,[status(esa)],[zip_derived_cl221]) ).

thf(zip_derived_cl332_048,plain,
    ( ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl2567,plain,
    ( ( ( c0_1 @ a652 )
      | ~ ( c3_1 @ a652 ) )
   <= ( ~ ( c1_1 @ a652 )
      & ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl881,zip_derived_cl332]) ).

thf('109',plain,
    ( ( c0_1 @ a652 )
    | ( c1_1 @ a652 )
    | ~ ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c3_1 @ a652 ) ),
    inference(split,[status(esa)],[zip_derived_cl2567]) ).

thf(zip_derived_cl661,plain,
    ( ( c2_1 @ a651 )
   <= ( c2_1 @ a651 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl332_049,plain,
    ( ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl347_050,plain,
    ( ! [X4: $i] :
        ( ~ ( c2_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ( c0_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c2_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ( c0_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl1117,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ( c0_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X4: $i] :
          ( ~ ( c2_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ( c0_1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl347]) ).

thf(zip_derived_cl1120,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X4: $i] :
          ( ~ ( c2_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ( c0_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1117]) ).

thf(zip_derived_cl4048,plain,
    ( ( ( c0_1 @ a651 )
      | ~ ( c3_1 @ a651 ) )
   <= ( ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X4: $i] :
          ( ~ ( c2_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ( c0_1 @ X4 ) )
      & ( c2_1 @ a651 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl661,zip_derived_cl1120]) ).

thf('110',plain,
    ( ~ ( c3_1 @ a651 )
    | ~ ( c2_1 @ a651 )
    | ~ ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ! [X4: $i] :
          ( ~ ( c2_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ( c0_1 @ X4 ) )
    | ( c0_1 @ a651 ) ),
    inference(split,[status(esa)],[zip_derived_cl4048]) ).

thf(zip_derived_cl40,plain,
    ! [X59: $i,X60: $i,X61: $i] :
      ( ( c1_1 @ X59 )
      | ( c2_1 @ X59 )
      | ~ ( c3_1 @ X59 )
      | ~ ndr1_0
      | ~ ( c2_1 @ X60 )
      | ~ ( c0_1 @ X60 )
      | ( c1_1 @ X60 )
      | ~ ndr1_0
      | ( c0_1 @ X61 )
      | ~ ( c3_1 @ X61 )
      | ~ ( c2_1 @ X61 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('111',plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
    | ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp56
    | ( c2_1 @ a658 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl643,plain,
    ( ( c2_1 @ a658 )
   <= ( c2_1 @ a658 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl462_051,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl3941,plain,
    ( ( ( c0_1 @ a658 )
      | ~ ( c3_1 @ a658 ) )
   <= ( ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
      & ( c2_1 @ a658 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl643,zip_derived_cl462]) ).

thf('112',plain,
    ( ( c0_1 @ a658 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c2_1 @ a658 )
    | ~ ( c3_1 @ a658 ) ),
    inference(split,[status(esa)],[zip_derived_cl3941]) ).

thf(zip_derived_cl33,plain,
    ! [X45: $i,X46: $i,X47: $i] :
      ( ( c3_1 @ X45 )
      | ( c1_1 @ X45 )
      | ( c0_1 @ X45 )
      | ~ ndr1_0
      | ~ ( c3_1 @ X46 )
      | ( c0_1 @ X46 )
      | ( c1_1 @ X46 )
      | ~ ndr1_0
      | ~ ( c3_1 @ X47 )
      | ~ ( c2_1 @ X47 )
      | ( c1_1 @ X47 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('113',plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c1_1 @ X10 ) )
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl643_052,plain,
    ( ( c2_1 @ a658 )
   <= ( c2_1 @ a658 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl473_053,plain,
    ( ! [X55: $i] :
        ( ~ ( c3_1 @ X55 )
        | ~ ( c0_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
   <= ! [X55: $i] :
        ( ~ ( c3_1 @ X55 )
        | ~ ( c0_1 @ X55 )
        | ~ ( c2_1 @ X55 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl3942,plain,
    ( ( ~ ( c3_1 @ a658 )
      | ~ ( c0_1 @ a658 ) )
   <= ( ! [X55: $i] :
          ( ~ ( c3_1 @ X55 )
          | ~ ( c0_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
      & ( c2_1 @ a658 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl643,zip_derived_cl473]) ).

thf('114',plain,
    ( ~ ( c0_1 @ a658 )
    | ~ ! [X55: $i] :
          ( ~ ( c3_1 @ X55 )
          | ~ ( c0_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
    | ~ ( c2_1 @ a658 )
    | ~ ( c3_1 @ a658 ) ),
    inference(split,[status(esa)],[zip_derived_cl3942]) ).

thf('115',plain,
    ( ~ ( c1_1 @ a658 )
    | ~ hskp56 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl641_054,plain,
    ( ~ ( c1_1 @ a658 )
   <= ~ ( c1_1 @ a658 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl403_055,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl2004,plain,
    ( ( ~ ( c2_1 @ a658 )
      | ~ ( c3_1 @ a658 ) )
   <= ( ~ ( c1_1 @ a658 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl641,zip_derived_cl403]) ).

thf('116',plain,
    ( ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ( c1_1 @ a658 )
    | ~ ( c2_1 @ a658 )
    | ~ ( c3_1 @ a658 ) ),
    inference(split,[status(esa)],[zip_derived_cl2004]) ).

thf('117',plain,
    ( ( c2_1 @ a658 )
    | ~ hskp56 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp56
    | ( c3_1 @ a658 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('118',plain,
    ( ( c3_1 @ a658 )
    | ~ hskp56 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl955_056,plain,
    ( ~ ( c2_1 @ a628 )
   <= ~ ( c2_1 @ a628 ) ),
    inference(split,[status(esa)],[zip_derived_cl258]) ).

thf(zip_derived_cl10,plain,
    ! [X11: $i] :
      ( ( c0_1 @ X11 )
      | ( c2_1 @ X11 )
      | ~ ( c3_1 @ X11 )
      | ~ ndr1_0
      | hskp3
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl364,plain,
    ( ! [X11: $i] :
        ( ( c0_1 @ X11 )
        | ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c0_1 @ X11 )
        | ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl2827,plain,
    ( ( ( c0_1 @ a628 )
      | ~ ( c3_1 @ a628 ) )
   <= ( ~ ( c2_1 @ a628 )
      & ! [X11: $i] :
          ( ( c0_1 @ X11 )
          | ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl955,zip_derived_cl364]) ).

thf('119',plain,
    ( ~ ! [X11: $i] :
          ( ( c0_1 @ X11 )
          | ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ( c0_1 @ a628 )
    | ~ ( c3_1 @ a628 )
    | ( c2_1 @ a628 ) ),
    inference(split,[status(esa)],[zip_derived_cl2827]) ).

thf('120',plain,
    ( hskp56
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl957_057,plain,
    ( ~ ( c1_1 @ a628 )
   <= ~ ( c1_1 @ a628 ) ),
    inference(split,[status(esa)],[zip_derived_cl259]) ).

thf(zip_derived_cl379_058,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ( c2_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ( c2_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl2877,plain,
    ( ( ~ ( c0_1 @ a628 )
      | ( c2_1 @ a628 ) )
   <= ( ~ ( c1_1 @ a628 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl957,zip_derived_cl379]) ).

thf('121',plain,
    ( ~ ( c0_1 @ a628 )
    | ( c2_1 @ a628 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) )
    | ( c1_1 @ a628 ) ),
    inference(split,[status(esa)],[zip_derived_cl2877]) ).

thf('122',plain,
    ( ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ( c2_1 @ a628 )
    | ( c1_1 @ a628 )
    | ~ ( c3_1 @ a628 ) ),
    inference(split,[status(esa)],[zip_derived_cl2876]) ).

thf(zip_derived_cl257,plain,
    ( ~ hskp17
    | ( c3_1 @ a628 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( ( c3_1 @ a628 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl257]) ).

thf('124',plain,
    ( ~ ( c2_1 @ a628 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl258]) ).

thf('125',plain,
    ( ~ ( c1_1 @ a628 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl259]) ).

thf(zip_derived_cl16,plain,
    ! [X18: $i] :
      ( hskp53
      | hskp17
      | ( c0_1 @ X18 )
      | ( c1_1 @ X18 )
      | ~ ( c3_1 @ X18 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( hskp17
    | hskp53
    | ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf('127',plain,
    ( ( c2_1 @ a674 )
    | ~ hskp65 ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf('128',plain,
    ( ~ ( c1_1 @ a674 )
    | ~ hskp65 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl571_059,plain,
    ( ~ ( c1_1 @ a674 )
   <= ~ ( c1_1 @ a674 ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl328_060,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl1787,plain,
    ( ( ~ ( c0_1 @ a674 )
      | ~ ( c2_1 @ a674 ) )
   <= ( ~ ( c1_1 @ a674 )
      & ! [X0: $i] :
          ( ( c1_1 @ X0 )
          | ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl571,zip_derived_cl328]) ).

thf('129',plain,
    ( ~ ! [X0: $i] :
          ( ( c1_1 @ X0 )
          | ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ( c1_1 @ a674 )
    | ~ ( c0_1 @ a674 )
    | ~ ( c2_1 @ a674 ) ),
    inference(split,[status(esa)],[zip_derived_cl1787]) ).

thf(zip_derived_cl34,plain,
    ! [X48: $i] :
      ( hskp14
      | hskp15
      | ~ ( c2_1 @ X48 )
      | ( c1_1 @ X48 )
      | ~ ( c0_1 @ X48 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('130',plain,
    ( hskp14
    | hskp15
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl266,plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a625 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl971,plain,
    ( ~ ( c1_1 @ a625 )
   <= ~ ( c1_1 @ a625 ) ),
    inference(split,[status(esa)],[zip_derived_cl266]) ).

thf(zip_derived_cl360_061,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl2913,plain,
    ( ( ( c3_1 @ a625 )
      | ( c0_1 @ a625 ) )
   <= ( ~ ( c1_1 @ a625 )
      & ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c1_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl971,zip_derived_cl360]) ).

thf('131',plain,
    ( ( c1_1 @ a625 )
    | ( c3_1 @ a625 )
    | ~ ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c1_1 @ X10 ) )
    | ( c0_1 @ a625 ) ),
    inference(split,[status(esa)],[zip_derived_cl2913]) ).

thf(zip_derived_cl265,plain,
    ( ~ hskp15
    | ~ ( c2_1 @ a625 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( ~ hskp15
    | ~ ( c2_1 @ a625 ) ),
    inference(split,[status(esa)],[zip_derived_cl265]) ).

thf(zip_derived_cl969,plain,
    ( ~ ( c2_1 @ a625 )
   <= ~ ( c2_1 @ a625 ) ),
    inference(split,[status(esa)],[zip_derived_cl265]) ).

thf(zip_derived_cl415_062,plain,
    ( ! [X29: $i] :
        ( ( c3_1 @ X29 )
        | ( c0_1 @ X29 )
        | ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c3_1 @ X29 )
        | ( c0_1 @ X29 )
        | ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl2897,plain,
    ( ( ( c3_1 @ a625 )
      | ( c0_1 @ a625 ) )
   <= ( ~ ( c2_1 @ a625 )
      & ! [X29: $i] :
          ( ( c3_1 @ X29 )
          | ( c0_1 @ X29 )
          | ( c2_1 @ X29 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl969,zip_derived_cl415]) ).

thf('133',plain,
    ( ( c2_1 @ a625 )
    | ( c3_1 @ a625 )
    | ~ ! [X29: $i] :
          ( ( c3_1 @ X29 )
          | ( c0_1 @ X29 )
          | ( c2_1 @ X29 ) )
    | ( c0_1 @ a625 ) ),
    inference(split,[status(esa)],[zip_derived_cl2897]) ).

thf(zip_derived_cl971_063,plain,
    ( ~ ( c1_1 @ a625 )
   <= ~ ( c1_1 @ a625 ) ),
    inference(split,[status(esa)],[zip_derived_cl266]) ).

thf(zip_derived_cl332_064,plain,
    ( ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl2911,plain,
    ( ( ( c0_1 @ a625 )
      | ~ ( c3_1 @ a625 ) )
   <= ( ~ ( c1_1 @ a625 )
      & ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl971,zip_derived_cl332]) ).

thf('134',plain,
    ( ~ ( c3_1 @ a625 )
    | ( c1_1 @ a625 )
    | ~ ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ( c0_1 @ a625 ) ),
    inference(split,[status(esa)],[zip_derived_cl2911]) ).

thf('135',plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a625 ) ),
    inference(split,[status(esa)],[zip_derived_cl266]) ).

thf(zip_derived_cl267,plain,
    ( ~ hskp15
    | ~ ( c0_1 @ a625 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('136',plain,
    ( ~ hskp15
    | ~ ( c0_1 @ a625 ) ),
    inference(split,[status(esa)],[zip_derived_cl267]) ).

thf(zip_derived_cl269,plain,
    ( ~ hskp14
    | ( c3_1 @ a624 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ( c3_1 @ a624 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl269]) ).

thf(zip_derived_cl271,plain,
    ( ~ hskp14
    | ~ ( c2_1 @ a624 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( ~ ( c2_1 @ a624 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl271]) ).

thf(zip_derived_cl981,plain,
    ( ~ ( c2_1 @ a624 )
   <= ~ ( c2_1 @ a624 ) ),
    inference(split,[status(esa)],[zip_derived_cl271]) ).

thf(zip_derived_cl352_065,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl2965,plain,
    ( ( ~ ( c3_1 @ a624 )
      | ~ ( c0_1 @ a624 ) )
   <= ( ~ ( c2_1 @ a624 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl981,zip_derived_cl352]) ).

thf('139',plain,
    ( ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
    | ~ ( c0_1 @ a624 )
    | ( c2_1 @ a624 )
    | ~ ( c3_1 @ a624 ) ),
    inference(split,[status(esa)],[zip_derived_cl2965]) ).

thf('140',plain,
    ( ~ ( c1_1 @ a624 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl270]) ).

thf(zip_derived_cl979_066,plain,
    ( ~ ( c1_1 @ a624 )
   <= ~ ( c1_1 @ a624 ) ),
    inference(split,[status(esa)],[zip_derived_cl270]) ).

thf(zip_derived_cl332_067,plain,
    ( ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl2949,plain,
    ( ( ( c0_1 @ a624 )
      | ~ ( c3_1 @ a624 ) )
   <= ( ~ ( c1_1 @ a624 )
      & ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl979,zip_derived_cl332]) ).

thf('141',plain,
    ( ( c0_1 @ a624 )
    | ( c1_1 @ a624 )
    | ~ ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c3_1 @ a624 ) ),
    inference(split,[status(esa)],[zip_derived_cl2949]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp52
    | ~ ( c2_1 @ a647 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('142',plain,
    ( ~ hskp52
    | ~ ( c2_1 @ a647 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp52
    | ~ ( c1_1 @ a647 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('143',plain,
    ( ~ hskp52
    | ~ ( c1_1 @ a647 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp52
    | ( c0_1 @ a647 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('144',plain,
    ( ( c0_1 @ a647 )
    | ~ hskp52 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf('145',plain,
    ( hskp25
    | hskp52
    | ~ ndr1_0
    | ! [X19: $i] :
        ( ( c3_1 @ X19 )
        | ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl225,plain,
    ( ~ hskp25
    | ( c3_1 @ a646 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ( c3_1 @ a646 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl225]) ).

thf(zip_derived_cl226,plain,
    ( ~ hskp25
    | ~ ( c2_1 @ a646 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('147',plain,
    ( ~ ( c2_1 @ a646 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl226]) ).

thf(zip_derived_cl227,plain,
    ( ~ hskp25
    | ~ ( c0_1 @ a646 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( ~ ( c0_1 @ a646 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl227]) ).

thf(zip_derived_cl891,plain,
    ( ~ ( c2_1 @ a646 )
   <= ~ ( c2_1 @ a646 ) ),
    inference(split,[status(esa)],[zip_derived_cl226]) ).

thf(zip_derived_cl364_068,plain,
    ( ! [X11: $i] :
        ( ( c0_1 @ X11 )
        | ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c0_1 @ X11 )
        | ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl2601,plain,
    ( ( ( c0_1 @ a646 )
      | ~ ( c3_1 @ a646 ) )
   <= ( ~ ( c2_1 @ a646 )
      & ! [X11: $i] :
          ( ( c0_1 @ X11 )
          | ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl891,zip_derived_cl364]) ).

thf('149',plain,
    ( ~ ! [X11: $i] :
          ( ( c0_1 @ X11 )
          | ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c3_1 @ a646 )
    | ( c2_1 @ a646 )
    | ( c0_1 @ a646 ) ),
    inference(split,[status(esa)],[zip_derived_cl2601]) ).

thf('150',plain,
    ( ! [X11: $i] :
        ( ( c0_1 @ X11 )
        | ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | hskp29
    | hskp3
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl209,plain,
    ( ~ hskp29
    | ~ ( c1_1 @ a660 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl857,plain,
    ( ~ ( c1_1 @ a660 )
   <= ~ ( c1_1 @ a660 ) ),
    inference(split,[status(esa)],[zip_derived_cl209]) ).

thf(zip_derived_cl328_069,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl2435,plain,
    ( ( ~ ( c0_1 @ a660 )
      | ~ ( c2_1 @ a660 ) )
   <= ( ~ ( c1_1 @ a660 )
      & ! [X0: $i] :
          ( ( c1_1 @ X0 )
          | ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl857,zip_derived_cl328]) ).

thf(zip_derived_cl7522,plain,
    ( ~ ( c2_1 @ a660 )
   <= ~ ( c2_1 @ a660 ) ),
    inference(split,[status(esa)],[zip_derived_cl2435]) ).

thf(zip_derived_cl415_070,plain,
    ( ! [X29: $i] :
        ( ( c3_1 @ X29 )
        | ( c0_1 @ X29 )
        | ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c3_1 @ X29 )
        | ( c0_1 @ X29 )
        | ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl7539,plain,
    ( ( ( c3_1 @ a660 )
      | ( c0_1 @ a660 ) )
   <= ( ~ ( c2_1 @ a660 )
      & ! [X29: $i] :
          ( ( c3_1 @ X29 )
          | ( c0_1 @ X29 )
          | ( c2_1 @ X29 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl7522,zip_derived_cl415]) ).

thf('151',plain,
    ( ( c3_1 @ a660 )
    | ( c2_1 @ a660 )
    | ~ ! [X29: $i] :
          ( ( c3_1 @ X29 )
          | ( c0_1 @ X29 )
          | ( c2_1 @ X29 ) )
    | ( c0_1 @ a660 ) ),
    inference(split,[status(esa)],[zip_derived_cl7539]) ).

thf(zip_derived_cl857_071,plain,
    ( ~ ( c1_1 @ a660 )
   <= ~ ( c1_1 @ a660 ) ),
    inference(split,[status(esa)],[zip_derived_cl209]) ).

thf(zip_derived_cl369_072,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl2440,plain,
    ( ( ( c2_1 @ a660 )
      | ~ ( c3_1 @ a660 ) )
   <= ( ~ ( c1_1 @ a660 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl857,zip_derived_cl369]) ).

thf(zip_derived_cl13815,plain,
    ( ( c2_1 @ a660 )
   <= ( c2_1 @ a660 ) ),
    inference(split,[status(esa)],[zip_derived_cl2440]) ).

thf(zip_derived_cl372_073,plain,
    ( ! [X15: $i] :
        ( ~ ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ( c0_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ~ ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl13838,plain,
    ( ( ( c3_1 @ a660 )
      | ( c0_1 @ a660 ) )
   <= ( ! [X15: $i] :
          ( ~ ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ( c0_1 @ X15 ) )
      & ( c2_1 @ a660 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13815,zip_derived_cl372]) ).

thf('152',plain,
    ( ( c0_1 @ a660 )
    | ~ ( c2_1 @ a660 )
    | ~ ! [X15: $i] :
          ( ~ ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ( c0_1 @ X15 ) )
    | ( c3_1 @ a660 ) ),
    inference(split,[status(esa)],[zip_derived_cl13838]) ).

thf('153',plain,
    ( ~ hskp29
    | ~ ( c1_1 @ a660 ) ),
    inference(split,[status(esa)],[zip_derived_cl209]) ).

thf(zip_derived_cl210,plain,
    ( ~ hskp29
    | ~ ( c3_1 @ a660 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('154',plain,
    ( ~ hskp29
    | ~ ( c3_1 @ a660 ) ),
    inference(split,[status(esa)],[zip_derived_cl210]) ).

thf(zip_derived_cl211,plain,
    ( ~ hskp29
    | ~ ( c0_1 @ a660 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('155',plain,
    ( ~ hskp29
    | ~ ( c0_1 @ a660 ) ),
    inference(split,[status(esa)],[zip_derived_cl211]) ).

thf(zip_derived_cl857_074,plain,
    ( ~ ( c1_1 @ a660 )
   <= ~ ( c1_1 @ a660 ) ),
    inference(split,[status(esa)],[zip_derived_cl209]) ).

thf(zip_derived_cl360_075,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl2439,plain,
    ( ( ( c3_1 @ a660 )
      | ( c0_1 @ a660 ) )
   <= ( ~ ( c1_1 @ a660 )
      & ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c1_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl857,zip_derived_cl360]) ).

thf('156',plain,
    ( ( c1_1 @ a660 )
    | ( c0_1 @ a660 )
    | ~ ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ( c0_1 @ X10 )
          | ( c1_1 @ X10 ) )
    | ( c3_1 @ a660 ) ),
    inference(split,[status(esa)],[zip_derived_cl2439]) ).

thf('157',plain,
    ( ! [X29: $i] :
        ( ( c3_1 @ X29 )
        | ( c0_1 @ X29 )
        | ( c2_1 @ X29 ) )
    | ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ( c0_1 @ X10 )
        | ( c1_1 @ X10 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp60
    | ~ ( c2_1 @ a669 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl611,plain,
    ( ~ ( c2_1 @ a669 )
   <= ~ ( c2_1 @ a669 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl391_076,plain,
    ( ! [X19: $i] :
        ( ( c3_1 @ X19 )
        | ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c3_1 @ X19 )
        | ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1912,plain,
    ( ( ( c3_1 @ a669 )
      | ~ ( c0_1 @ a669 ) )
   <= ( ~ ( c2_1 @ a669 )
      & ! [X19: $i] :
          ( ( c3_1 @ X19 )
          | ( c2_1 @ X19 )
          | ~ ( c0_1 @ X19 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl611,zip_derived_cl391]) ).

thf('158',plain,
    ( ~ ! [X19: $i] :
          ( ( c3_1 @ X19 )
          | ( c2_1 @ X19 )
          | ~ ( c0_1 @ X19 ) )
    | ( c3_1 @ a669 )
    | ( c2_1 @ a669 )
    | ~ ( c0_1 @ a669 ) ),
    inference(split,[status(esa)],[zip_derived_cl1912]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp60
    | ( c1_1 @ a669 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl613,plain,
    ( ( c1_1 @ a669 )
   <= ( c1_1 @ a669 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl469_077,plain,
    ( ! [X52: $i] :
        ( ~ ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ( c2_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ~ ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl3826,plain,
    ( ( ~ ( c3_1 @ a669 )
      | ( c2_1 @ a669 ) )
   <= ( ! [X52: $i] :
          ( ~ ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ( c2_1 @ X52 ) )
      & ( c1_1 @ a669 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl613,zip_derived_cl469]) ).

thf('159',plain,
    ( ~ ( c3_1 @ a669 )
    | ~ ( c1_1 @ a669 )
    | ~ ! [X52: $i] :
          ( ~ ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ( c2_1 @ X52 ) )
    | ( c2_1 @ a669 ) ),
    inference(split,[status(esa)],[zip_derived_cl3826]) ).

thf(zip_derived_cl581_078,plain,
    ( ( c1_1 @ a673 )
   <= ( c1_1 @ a673 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl347_079,plain,
    ( ! [X4: $i] :
        ( ~ ( c2_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ( c0_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c2_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ( c0_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl3734,plain,
    ( ( ~ ( c2_1 @ a673 )
      | ( c0_1 @ a673 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c2_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ( c0_1 @ X4 ) )
      & ( c1_1 @ a673 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl347]) ).

thf('160',plain,
    ( ~ ( c2_1 @ a673 )
    | ( c0_1 @ a673 )
    | ~ ! [X4: $i] :
          ( ~ ( c2_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ( c0_1 @ X4 ) )
    | ~ ( c1_1 @ a673 ) ),
    inference(split,[status(esa)],[zip_derived_cl3734]) ).

thf(zip_derived_cl70,plain,
    ( ~ hskp64
    | ~ ( c0_1 @ a673 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('161',plain,
    ( ~ ( c0_1 @ a673 )
    | ~ hskp64 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf('162',plain,
    ( ( c1_1 @ a675 )
    | ~ hskp66 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf('163',plain,
    ( ~ ( c2_1 @ a675 )
    | ~ hskp66 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl63,plain,
    ( ~ hskp66
    | ( c3_1 @ a675 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( ( c3_1 @ a675 )
    | ~ hskp66 ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl561_080,plain,
    ( ( c1_1 @ a675 )
   <= ( c1_1 @ a675 ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl469_081,plain,
    ( ! [X52: $i] :
        ( ~ ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ( c2_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ~ ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl3584,plain,
    ( ( ~ ( c3_1 @ a675 )
      | ( c2_1 @ a675 ) )
   <= ( ! [X52: $i] :
          ( ~ ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ( c2_1 @ X52 ) )
      & ( c1_1 @ a675 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl561,zip_derived_cl469]) ).

thf('165',plain,
    ( ~ ( c1_1 @ a675 )
    | ( c2_1 @ a675 )
    | ~ ! [X52: $i] :
          ( ~ ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ( c2_1 @ X52 ) )
    | ~ ( c3_1 @ a675 ) ),
    inference(split,[status(esa)],[zip_derived_cl3584]) ).

thf(zip_derived_cl613_082,plain,
    ( ( c1_1 @ a669 )
   <= ( c1_1 @ a669 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl396_083,plain,
    ( ! [X20: $i] :
        ( ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 )
        | ( c2_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 )
        | ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl3823,plain,
    ( ( ~ ( c0_1 @ a669 )
      | ( c2_1 @ a669 ) )
   <= ( ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ( c2_1 @ X20 ) )
      & ( c1_1 @ a669 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl613,zip_derived_cl396]) ).

thf('166',plain,
    ( ( c2_1 @ a669 )
    | ~ ( c1_1 @ a669 )
    | ~ ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ( c2_1 @ X20 ) )
    | ~ ( c0_1 @ a669 ) ),
    inference(split,[status(esa)],[zip_derived_cl3823]) ).

thf(zip_derived_cl1323_084,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) )
      & ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ( c2_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1318]) ).

thf(zip_derived_cl849_085,plain,
    ( ~ ( c2_1 @ a666 )
   <= ~ ( c2_1 @ a666 ) ),
    inference(split,[status(esa)],[zip_derived_cl205]) ).

thf(zip_derived_cl2425,plain,
    ( ~ ( c0_1 @ a666 )
   <= ( ~ ( c2_1 @ a666 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) )
      & ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ( c2_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1323,zip_derived_cl849]) ).

thf(zip_derived_cl206,plain,
    ( ~ hskp30
    | ( c0_1 @ a666 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl851,plain,
    ( ( c0_1 @ a666 )
   <= ( c0_1 @ a666 ) ),
    inference(split,[status(esa)],[zip_derived_cl206]) ).

thf('167',plain,
    ( ( c2_1 @ a666 )
    | ~ ( c0_1 @ a666 )
    | ~ ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ( c2_1 @ X20 ) )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2425,zip_derived_cl851]) ).

thf(zip_derived_cl675,plain,
    ( ~ ( c1_1 @ a647 )
   <= ~ ( c1_1 @ a647 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl379_086,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ( c2_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ( c2_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl2084,plain,
    ( ( ~ ( c0_1 @ a647 )
      | ( c2_1 @ a647 ) )
   <= ( ~ ( c1_1 @ a647 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl675,zip_derived_cl379]) ).

thf('168',plain,
    ( ( c2_1 @ a647 )
    | ( c1_1 @ a647 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) )
    | ~ ( c0_1 @ a647 ) ),
    inference(split,[status(esa)],[zip_derived_cl2084]) ).

thf(zip_derived_cl314,plain,
    ( ~ hskp3
    | ~ ( c1_1 @ a603 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1067,plain,
    ( ~ ( c1_1 @ a603 )
   <= ~ ( c1_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl314]) ).

thf(zip_derived_cl328_087,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl3326,plain,
    ( ( ~ ( c0_1 @ a603 )
      | ~ ( c2_1 @ a603 ) )
   <= ( ~ ( c1_1 @ a603 )
      & ! [X0: $i] :
          ( ( c1_1 @ X0 )
          | ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1067,zip_derived_cl328]) ).

thf('169',plain,
    ( ~ ( c2_1 @ a603 )
    | ( c1_1 @ a603 )
    | ~ ! [X0: $i] :
          ( ( c1_1 @ X0 )
          | ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c0_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl3326]) ).

thf(zip_derived_cl313,plain,
    ( ~ hskp3
    | ( c0_1 @ a603 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('170',plain,
    ( ( c0_1 @ a603 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl313]) ).

thf('171',plain,
    ( ~ ( c1_1 @ a603 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl314]) ).

thf(zip_derived_cl1067_088,plain,
    ( ~ ( c1_1 @ a603 )
   <= ~ ( c1_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl314]) ).

thf(zip_derived_cl379_089,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ( c2_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ( c2_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl3332,plain,
    ( ( ~ ( c0_1 @ a603 )
      | ( c2_1 @ a603 ) )
   <= ( ~ ( c1_1 @ a603 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1067,zip_derived_cl379]) ).

thf('172',plain,
    ( ( c2_1 @ a603 )
    | ( c1_1 @ a603 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) )
    | ~ ( c0_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl3332]) ).

thf(zip_derived_cl785_090,plain,
    ( ( c1_1 @ a608 )
   <= ( c1_1 @ a608 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl396_091,plain,
    ( ! [X20: $i] :
        ( ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 )
        | ( c2_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 )
        | ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl4453,plain,
    ( ( ~ ( c0_1 @ a608 )
      | ( c2_1 @ a608 ) )
   <= ( ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ( c2_1 @ X20 ) )
      & ( c1_1 @ a608 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl785,zip_derived_cl396]) ).

thf(zip_derived_cl15297,plain,
    ( ( c2_1 @ a608 )
   <= ( c2_1 @ a608 ) ),
    inference(split,[status(esa)],[zip_derived_cl4453]) ).

thf(zip_derived_cl473_092,plain,
    ( ! [X55: $i] :
        ( ~ ( c3_1 @ X55 )
        | ~ ( c0_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
   <= ! [X55: $i] :
        ( ~ ( c3_1 @ X55 )
        | ~ ( c0_1 @ X55 )
        | ~ ( c2_1 @ X55 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl15323,plain,
    ( ( ~ ( c3_1 @ a608 )
      | ~ ( c0_1 @ a608 ) )
   <= ( ! [X55: $i] :
          ( ~ ( c3_1 @ X55 )
          | ~ ( c0_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
      & ( c2_1 @ a608 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15297,zip_derived_cl473]) ).

thf('173',plain,
    ( ~ ( c2_1 @ a608 )
    | ~ ! [X55: $i] :
          ( ~ ( c3_1 @ X55 )
          | ~ ( c0_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
    | ~ ( c3_1 @ a608 )
    | ~ ( c0_1 @ a608 ) ),
    inference(split,[status(esa)],[zip_derived_cl15323]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp58
    | ~ ( c0_1 @ a663 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('174',plain,
    ( ~ ( c0_1 @ a663 )
    | ~ hskp58 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf('175',plain,
    ( ~ ( c1_1 @ a663 )
    | ~ hskp58 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp58
    | ( c3_1 @ a663 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('176',plain,
    ( ( c3_1 @ a663 )
    | ~ hskp58 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf('177',plain,
    ( hskp58
    | hskp41
    | ~ ndr1_0
    | ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl761_093,plain,
    ( ( c2_1 @ a617 )
   <= ( c2_1 @ a617 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl473_094,plain,
    ( ! [X55: $i] :
        ( ~ ( c3_1 @ X55 )
        | ~ ( c0_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
   <= ! [X55: $i] :
        ( ~ ( c3_1 @ X55 )
        | ~ ( c0_1 @ X55 )
        | ~ ( c2_1 @ X55 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl4338,plain,
    ( ( ~ ( c3_1 @ a617 )
      | ~ ( c0_1 @ a617 ) )
   <= ( ! [X55: $i] :
          ( ~ ( c3_1 @ X55 )
          | ~ ( c0_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
      & ( c2_1 @ a617 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl761,zip_derived_cl473]) ).

thf('178',plain,
    ( ~ ! [X55: $i] :
          ( ~ ( c3_1 @ X55 )
          | ~ ( c0_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
    | ~ ( c0_1 @ a617 )
    | ~ ( c3_1 @ a617 )
    | ~ ( c2_1 @ a617 ) ),
    inference(split,[status(esa)],[zip_derived_cl4338]) ).

thf(zip_derived_cl763_095,plain,
    ( ~ ( c1_1 @ a617 )
   <= ~ ( c1_1 @ a617 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl332_096,plain,
    ( ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl2261,plain,
    ( ( ( c0_1 @ a617 )
      | ~ ( c3_1 @ a617 ) )
   <= ( ~ ( c1_1 @ a617 )
      & ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl763,zip_derived_cl332]) ).

thf('179',plain,
    ( ~ ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ( c0_1 @ a617 )
    | ( c1_1 @ a617 )
    | ~ ( c3_1 @ a617 ) ),
    inference(split,[status(esa)],[zip_derived_cl2261]) ).

thf(zip_derived_cl627_097,plain,
    ( ~ ( c1_1 @ a663 )
   <= ~ ( c1_1 @ a663 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl332_098,plain,
    ( ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl1963,plain,
    ( ( ( c0_1 @ a663 )
      | ~ ( c3_1 @ a663 ) )
   <= ( ~ ( c1_1 @ a663 )
      & ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl627,zip_derived_cl332]) ).

thf('180',plain,
    ( ~ ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ( c0_1 @ a663 )
    | ~ ( c3_1 @ a663 )
    | ( c1_1 @ a663 ) ),
    inference(split,[status(esa)],[zip_derived_cl1963]) ).

thf('181',plain,
    ( ~ ( c2_1 @ a599 )
    | ~ hskp33 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp33
    | ( c0_1 @ a599 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('182',plain,
    ( ( c0_1 @ a599 )
    | ~ hskp33 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp33
    | ( c3_1 @ a599 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('183',plain,
    ( ( c3_1 @ a599 )
    | ~ hskp33 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl825_099,plain,
    ( ~ ( c2_1 @ a599 )
   <= ~ ( c2_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl352_100,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl2343,plain,
    ( ( ~ ( c3_1 @ a599 )
      | ~ ( c0_1 @ a599 ) )
   <= ( ~ ( c2_1 @ a599 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl825,zip_derived_cl352]) ).

thf('184',plain,
    ( ( c2_1 @ a599 )
    | ~ ( c3_1 @ a599 )
    | ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
    | ~ ( c0_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl2343]) ).

thf(zip_derived_cl339_101,plain,
    ( ! [X3: $i] :
        ( ( c1_1 @ X3 )
        | ( c3_1 @ X3 )
        | ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c1_1 @ X3 )
        | ( c3_1 @ X3 )
        | ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl368_102,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1178,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ( c1_1 @ X3 )
          | ( c3_1 @ X3 )
          | ( c2_1 @ X3 ) )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ( c3_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl368]) ).

thf(zip_derived_cl1180,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ( c1_1 @ X3 )
          | ( c3_1 @ X3 )
          | ( c2_1 @ X3 ) )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ( c3_1 @ X13 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1178]) ).

thf(zip_derived_cl849_103,plain,
    ( ~ ( c2_1 @ a666 )
   <= ~ ( c2_1 @ a666 ) ),
    inference(split,[status(esa)],[zip_derived_cl205]) ).

thf(zip_derived_cl2419,plain,
    ( ( c3_1 @ a666 )
   <= ( ~ ( c2_1 @ a666 )
      & ! [X3: $i] :
          ( ( c1_1 @ X3 )
          | ( c3_1 @ X3 )
          | ( c2_1 @ X3 ) )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ( c3_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1180,zip_derived_cl849]) ).

thf(zip_derived_cl207,plain,
    ( ~ hskp30
    | ~ ( c3_1 @ a666 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl853,plain,
    ( ~ ( c3_1 @ a666 )
   <= ~ ( c3_1 @ a666 ) ),
    inference(split,[status(esa)],[zip_derived_cl207]) ).

thf('185',plain,
    ( ( c2_1 @ a666 )
    | ( c3_1 @ a666 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ( c3_1 @ X13 ) )
    | ~ ! [X3: $i] :
          ( ( c1_1 @ X3 )
          | ( c3_1 @ X3 )
          | ( c2_1 @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2419,zip_derived_cl853]) ).

thf(zip_derived_cl605_104,plain,
    ( ( c2_1 @ a670 )
   <= ( c2_1 @ a670 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl372_105,plain,
    ( ! [X15: $i] :
        ( ~ ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ( c0_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ~ ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl3809,plain,
    ( ( ( c3_1 @ a670 )
      | ( c0_1 @ a670 ) )
   <= ( ! [X15: $i] :
          ( ~ ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ( c0_1 @ X15 ) )
      & ( c2_1 @ a670 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl605,zip_derived_cl372]) ).

thf('186',plain,
    ( ( c3_1 @ a670 )
    | ( c0_1 @ a670 )
    | ~ ! [X15: $i] :
          ( ~ ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ( c0_1 @ X15 ) )
    | ~ ( c2_1 @ a670 ) ),
    inference(split,[status(esa)],[zip_derived_cl3809]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp61
    | ~ ( c1_1 @ a670 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('187',plain,
    ( ~ ( c1_1 @ a670 )
    | ~ hskp61 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp61
    | ~ ( c0_1 @ a670 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('188',plain,
    ( ~ ( c0_1 @ a670 )
    | ~ hskp61 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf('189',plain,
    ( ( c2_1 @ a670 )
    | ~ hskp61 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl601,plain,
    ( ~ ( c1_1 @ a670 )
   <= ~ ( c1_1 @ a670 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl332_106,plain,
    ( ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl1876,plain,
    ( ( ( c0_1 @ a670 )
      | ~ ( c3_1 @ a670 ) )
   <= ( ~ ( c1_1 @ a670 )
      & ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl601,zip_derived_cl332]) ).

thf('190',plain,
    ( ~ ( c3_1 @ a670 )
    | ( c1_1 @ a670 )
    | ~ ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ( c0_1 @ a670 ) ),
    inference(split,[status(esa)],[zip_derived_cl1876]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp59
    | ( c2_1 @ a665 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl619,plain,
    ( ( c2_1 @ a665 )
   <= ( c2_1 @ a665 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl1120_107,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X4: $i] :
          ( ~ ( c2_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ( c0_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1117]) ).

thf(zip_derived_cl3828,plain,
    ( ( ( c0_1 @ a665 )
      | ~ ( c3_1 @ a665 ) )
   <= ( ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X4: $i] :
          ( ~ ( c2_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ( c0_1 @ X4 ) )
      & ( c2_1 @ a665 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl619,zip_derived_cl1120]) ).

thf('191',plain,
    ( ( c0_1 @ a665 )
    | ~ ( c2_1 @ a665 )
    | ~ ! [X2: $i] :
          ( ( c1_1 @ X2 )
          | ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ! [X4: $i] :
          ( ~ ( c2_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ( c0_1 @ X4 ) )
    | ~ ( c3_1 @ a665 ) ),
    inference(split,[status(esa)],[zip_derived_cl3828]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp59
    | ~ ( c0_1 @ a665 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('192',plain,
    ( ~ ( c0_1 @ a665 )
    | ~ hskp59 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('193',plain,
    ( ( c2_1 @ a665 )
    | ~ hskp59 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp59
    | ( c3_1 @ a665 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('194',plain,
    ( ( c3_1 @ a665 )
    | ~ hskp59 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl58,plain,
    ! [X93: $i] :
      ( hskp0
      | ( c0_1 @ X93 )
      | ~ ( c3_1 @ X93 )
      | ( c1_1 @ X93 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('195',plain,
    ( hskp0
    | hskp1
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl6,plain,
    ( hskp59
    | hskp30 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('196',plain,
    ( hskp30
    | hskp59 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1093_108,plain,
    ( ~ ( c1_1 @ a597 )
   <= ~ ( c1_1 @ a597 ) ),
    inference(split,[status(esa)],[zip_derived_cl327]) ).

thf(zip_derived_cl328_109,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl3460,plain,
    ( ( ~ ( c0_1 @ a597 )
      | ~ ( c2_1 @ a597 ) )
   <= ( ~ ( c1_1 @ a597 )
      & ! [X0: $i] :
          ( ( c1_1 @ X0 )
          | ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1093,zip_derived_cl328]) ).

thf('197',plain,
    ( ~ ( c2_1 @ a597 )
    | ( c1_1 @ a597 )
    | ~ ! [X0: $i] :
          ( ( c1_1 @ X0 )
          | ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c0_1 @ a597 ) ),
    inference(split,[status(esa)],[zip_derived_cl3460]) ).

thf(zip_derived_cl325,plain,
    ( ~ hskp0
    | ( c0_1 @ a597 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('198',plain,
    ( ( c0_1 @ a597 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl325]) ).

thf('199',plain,
    ( ~ ( c1_1 @ a597 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl327]) ).

thf(zip_derived_cl1093_110,plain,
    ( ~ ( c1_1 @ a597 )
   <= ~ ( c1_1 @ a597 ) ),
    inference(split,[status(esa)],[zip_derived_cl327]) ).

thf(zip_derived_cl379_111,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ( c2_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ( c2_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl3466,plain,
    ( ( ~ ( c0_1 @ a597 )
      | ( c2_1 @ a597 ) )
   <= ( ~ ( c1_1 @ a597 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1093,zip_derived_cl379]) ).

thf('200',plain,
    ( ( c2_1 @ a597 )
    | ( c1_1 @ a597 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) )
    | ~ ( c0_1 @ a597 ) ),
    inference(split,[status(esa)],[zip_derived_cl3466]) ).

thf('201',plain,
    ( ~ ( c2_1 @ a666 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl205]) ).

thf('202',plain,
    ( ( c0_1 @ a666 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl206]) ).

thf('203',plain,
    ( ~ ( c3_1 @ a666 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl207]) ).

thf('204',plain,
    ( hskp30
    | hskp32
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf('205',plain,
    ( ( c0_1 @ a677 )
    | ~ hskp32 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl198,plain,
    ( ~ hskp32
    | ~ ( c3_1 @ a677 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('206',plain,
    ( ~ ( c3_1 @ a677 )
    | ~ hskp32 ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf('207',plain,
    ( ~ ( c2_1 @ a677 )
    | ~ hskp32 ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl379_112,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ( c2_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ( c2_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl368_113,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1243,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ( c3_1 @ X13 ) )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl368]) ).

thf(zip_derived_cl1245,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ( c3_1 @ X13 ) )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1243]) ).

thf(zip_derived_cl837_114,plain,
    ( ~ ( c2_1 @ a677 )
   <= ~ ( c2_1 @ a677 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl2373,plain,
    ( ( ~ ( c0_1 @ a677 )
      | ( c3_1 @ a677 ) )
   <= ( ~ ( c2_1 @ a677 )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ( c3_1 @ X13 ) )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1245,zip_derived_cl837]) ).

thf('208',plain,
    ( ( c3_1 @ a677 )
    | ( c2_1 @ a677 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ( c3_1 @ X13 ) )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) )
    | ~ ( c0_1 @ a677 ) ),
    inference(split,[status(esa)],[zip_derived_cl2373]) ).

thf(zip_derived_cl1245_115,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ( c3_1 @ X13 ) )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1243]) ).

thf(zip_derived_cl849_116,plain,
    ( ~ ( c2_1 @ a666 )
   <= ~ ( c2_1 @ a666 ) ),
    inference(split,[status(esa)],[zip_derived_cl205]) ).

thf(zip_derived_cl2423,plain,
    ( ( ~ ( c0_1 @ a666 )
      | ( c3_1 @ a666 ) )
   <= ( ~ ( c2_1 @ a666 )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ( c3_1 @ X13 ) )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1245,zip_derived_cl849]) ).

thf('209',plain,
    ( ( c2_1 @ a666 )
    | ~ ( c0_1 @ a666 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ( c3_1 @ X13 ) )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) )
    | ( c3_1 @ a666 ) ),
    inference(split,[status(esa)],[zip_derived_cl2423]) ).

thf(zip_derived_cl4,plain,
    ( hskp33
    | hskp60
    | hskp61 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('210',plain,
    ( hskp61
    | hskp33
    | hskp60 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl611_117,plain,
    ( ~ ( c2_1 @ a669 )
   <= ~ ( c2_1 @ a669 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl352_118,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1910,plain,
    ( ( ~ ( c3_1 @ a669 )
      | ~ ( c0_1 @ a669 ) )
   <= ( ~ ( c2_1 @ a669 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl611,zip_derived_cl352]) ).

thf('211',plain,
    ( ~ ( c3_1 @ a669 )
    | ~ ( c0_1 @ a669 )
    | ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
    | ( c2_1 @ a669 ) ),
    inference(split,[status(esa)],[zip_derived_cl1910]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp60
    | ( c0_1 @ a669 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('212',plain,
    ( ( c0_1 @ a669 )
    | ~ hskp60 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('213',plain,
    ( ~ ( c2_1 @ a669 )
    | ~ hskp60 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf('214',plain,
    ( ( c1_1 @ a669 )
    | ~ hskp60 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl613_119,plain,
    ( ( c1_1 @ a669 )
   <= ( c1_1 @ a669 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl368_120,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl3822,plain,
    ( ( ( c2_1 @ a669 )
      | ( c3_1 @ a669 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ( c3_1 @ X13 ) )
      & ( c1_1 @ a669 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl613,zip_derived_cl368]) ).

thf('215',plain,
    ( ( c3_1 @ a669 )
    | ( c2_1 @ a669 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ( c3_1 @ X13 ) )
    | ~ ( c1_1 @ a669 ) ),
    inference(split,[status(esa)],[zip_derived_cl3822]) ).

thf(zip_derived_cl55,plain,
    ! [X87: $i,X88: $i,X89: $i] :
      ( ~ ( c1_1 @ X87 )
      | ( c0_1 @ X87 )
      | ~ ( c2_1 @ X87 )
      | ~ ndr1_0
      | ( c0_1 @ X88 )
      | ( c3_1 @ X88 )
      | ~ ( c2_1 @ X88 )
      | ~ ndr1_0
      | ( c0_1 @ X89 )
      | ~ ( c1_1 @ X89 )
      | ~ ( c2_1 @ X89 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('216',plain,
    ( ! [X4: $i] :
        ( ~ ( c2_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ( c0_1 @ X4 ) )
    | ! [X15: $i] :
        ( ~ ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ( c0_1 @ X15 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl286,plain,
    ( ~ hskp10
    | ( c3_1 @ a615 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('217',plain,
    ( ( c3_1 @ a615 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl286]) ).

thf(zip_derived_cl287,plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a615 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('218',plain,
    ( ~ ( c2_1 @ a615 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl287]) ).

thf(zip_derived_cl1013,plain,
    ( ~ ( c2_1 @ a615 )
   <= ~ ( c2_1 @ a615 ) ),
    inference(split,[status(esa)],[zip_derived_cl287]) ).

thf(zip_derived_cl352_121,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl3115,plain,
    ( ( ~ ( c3_1 @ a615 )
      | ~ ( c0_1 @ a615 ) )
   <= ( ~ ( c2_1 @ a615 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1013,zip_derived_cl352]) ).

thf('219',plain,
    ( ~ ( c0_1 @ a615 )
    | ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
    | ( c2_1 @ a615 )
    | ~ ( c3_1 @ a615 ) ),
    inference(split,[status(esa)],[zip_derived_cl3115]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp53
    | ( c3_1 @ a648 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('220',plain,
    ( ( c3_1 @ a648 )
    | ~ hskp53 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp53
    | ~ ( c2_1 @ a648 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('221',plain,
    ( ~ ( c2_1 @ a648 )
    | ~ hskp53 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp53
    | ( c0_1 @ a648 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('222',plain,
    ( ( c0_1 @ a648 )
    | ~ hskp53 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl667,plain,
    ( ~ ( c2_1 @ a648 )
   <= ~ ( c2_1 @ a648 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl352_122,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl2048,plain,
    ( ( ~ ( c3_1 @ a648 )
      | ~ ( c0_1 @ a648 ) )
   <= ( ~ ( c2_1 @ a648 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl667,zip_derived_cl352]) ).

thf('223',plain,
    ( ( c2_1 @ a648 )
    | ~ ( c0_1 @ a648 )
    | ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
    | ~ ( c3_1 @ a648 ) ),
    inference(split,[status(esa)],[zip_derived_cl2048]) ).

thf(zip_derived_cl1051,plain,
    ( ( c2_1 @ a606 )
   <= ( c2_1 @ a606 ) ),
    inference(split,[status(esa)],[zip_derived_cl306]) ).

thf(zip_derived_cl372_123,plain,
    ( ! [X15: $i] :
        ( ~ ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ( c0_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ~ ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl5025,plain,
    ( ( ( c3_1 @ a606 )
      | ( c0_1 @ a606 ) )
   <= ( ! [X15: $i] :
          ( ~ ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ( c0_1 @ X15 ) )
      & ( c2_1 @ a606 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1051,zip_derived_cl372]) ).

thf('224',plain,
    ( ~ ! [X15: $i] :
          ( ~ ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ( c0_1 @ X15 ) )
    | ( c0_1 @ a606 )
    | ~ ( c2_1 @ a606 )
    | ( c3_1 @ a606 ) ),
    inference(split,[status(esa)],[zip_derived_cl5025]) ).

thf(zip_derived_cl54,plain,
    ! [X85: $i,X86: $i] :
      ( hskp35
      | ~ ( c0_1 @ X85 )
      | ~ ( c2_1 @ X85 )
      | ~ ( c3_1 @ X85 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X86 )
      | ( c2_1 @ X86 )
      | ~ ( c3_1 @ X86 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('225',plain,
    ( hskp35
    | ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
    | ~ ndr1_0
    | ! [X55: $i] :
        ( ~ ( c3_1 @ X55 )
        | ~ ( c0_1 @ X55 )
        | ~ ( c2_1 @ X55 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl322,plain,
    ( ~ hskp1
    | ( c2_1 @ a598 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('226',plain,
    ( ( c2_1 @ a598 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl322]) ).

thf(zip_derived_cl321,plain,
    ( ~ hskp1
    | ( c0_1 @ a598 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('227',plain,
    ( ( c0_1 @ a598 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl321]) ).

thf(zip_derived_cl323,plain,
    ( ~ hskp1
    | ~ ( c1_1 @ a598 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('228',plain,
    ( ~ hskp1
    | ~ ( c1_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl323]) ).

thf(zip_derived_cl1085,plain,
    ( ~ ( c1_1 @ a598 )
   <= ~ ( c1_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl323]) ).

thf(zip_derived_cl328_124,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl3435,plain,
    ( ( ~ ( c0_1 @ a598 )
      | ~ ( c2_1 @ a598 ) )
   <= ( ~ ( c1_1 @ a598 )
      & ! [X0: $i] :
          ( ( c1_1 @ X0 )
          | ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1085,zip_derived_cl328]) ).

thf('229',plain,
    ( ( c1_1 @ a598 )
    | ~ ( c0_1 @ a598 )
    | ~ ! [X0: $i] :
          ( ( c1_1 @ X0 )
          | ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c2_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl3435]) ).

thf(zip_derived_cl31,plain,
    ! [X40: $i,X41: $i,X42: $i] :
      ( ( c2_1 @ X40 )
      | ( c1_1 @ X40 )
      | ( c3_1 @ X40 )
      | ~ ndr1_0
      | ( c2_1 @ X41 )
      | ( c3_1 @ X41 )
      | ( c1_1 @ X41 )
      | ~ ndr1_0
      | ~ ( c2_1 @ X42 )
      | ( c3_1 @ X42 )
      | ( c0_1 @ X42 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('230',plain,
    ( ! [X3: $i] :
        ( ( c1_1 @ X3 )
        | ( c3_1 @ X3 )
        | ( c2_1 @ X3 ) )
    | ! [X15: $i] :
        ( ~ ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ( c0_1 @ X15 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf('231',plain,
    ( ~ ( c2_1 @ a618 )
    | ~ hskp42 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp42
    | ~ ( c3_1 @ a618 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('232',plain,
    ( ~ ( c3_1 @ a618 )
    | ~ hskp42 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf('233',plain,
    ( ( c1_1 @ a618 )
    | ~ hskp42 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl757_125,plain,
    ( ( c1_1 @ a618 )
   <= ( c1_1 @ a618 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl368_126,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl4322,plain,
    ( ( ( c2_1 @ a618 )
      | ( c3_1 @ a618 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ( c3_1 @ X13 ) )
      & ( c1_1 @ a618 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl757,zip_derived_cl368]) ).

thf('234',plain,
    ( ( c2_1 @ a618 )
    | ~ ( c1_1 @ a618 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ( c3_1 @ X13 ) )
    | ( c3_1 @ a618 ) ),
    inference(split,[status(esa)],[zip_derived_cl4322]) ).

thf(zip_derived_cl41,plain,
    ! [X62: $i,X63: $i] :
      ( hskp42
      | ( c0_1 @ X62 )
      | ( c1_1 @ X62 )
      | ~ ( c3_1 @ X62 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X63 )
      | ( c2_1 @ X63 )
      | ( c1_1 @ X63 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('235',plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ( c2_1 @ X16 ) )
    | hskp42
    | ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl301,plain,
    ( ~ hskp6
    | ( c2_1 @ a609 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('236',plain,
    ( ( c2_1 @ a609 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl301]) ).

thf(zip_derived_cl302,plain,
    ( ~ hskp6
    | ~ ( c0_1 @ a609 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('237',plain,
    ( ~ ( c0_1 @ a609 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl302]) ).

thf('238',plain,
    ( ~ ( c1_1 @ a609 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl303]) ).

thf(zip_derived_cl478_127,plain,
    ( ! [X57: $i] :
        ( ~ ( c2_1 @ X57 )
        | ( c1_1 @ X57 )
        | ( c0_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ~ ( c2_1 @ X57 )
        | ( c1_1 @ X57 )
        | ( c0_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl1045_128,plain,
    ( ~ ( c1_1 @ a609 )
   <= ~ ( c1_1 @ a609 ) ),
    inference(split,[status(esa)],[zip_derived_cl303]) ).

thf(zip_derived_cl3353,plain,
    ( ( ( c0_1 @ a609 )
      | ~ ( c2_1 @ a609 ) )
   <= ( ~ ( c1_1 @ a609 )
      & ! [X57: $i] :
          ( ~ ( c2_1 @ X57 )
          | ( c1_1 @ X57 )
          | ( c0_1 @ X57 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl1045]) ).

thf('239',plain,
    ( ~ ! [X57: $i] :
          ( ~ ( c2_1 @ X57 )
          | ( c1_1 @ X57 )
          | ( c0_1 @ X57 ) )
    | ~ ( c2_1 @ a609 )
    | ( c0_1 @ a609 )
    | ( c1_1 @ a609 ) ),
    inference(split,[status(esa)],[zip_derived_cl3353]) ).

thf(zip_derived_cl49,plain,
    ! [X77: $i,X78: $i] :
      ( ~ ( c1_1 @ X77 )
      | ~ ( c3_1 @ X77 )
      | ~ ( c0_1 @ X77 )
      | ~ ndr1_0
      | hskp6
      | ~ ( c1_1 @ X78 )
      | ~ ( c0_1 @ X78 )
      | ~ ( c3_1 @ X78 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('240',plain,
    ( hskp6
    | ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp57
    | ~ ( c0_1 @ a662 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('241',plain,
    ( ~ ( c0_1 @ a662 )
    | ~ hskp57 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp57
    | ( c1_1 @ a662 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('242',plain,
    ( ( c1_1 @ a662 )
    | ~ hskp57 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp57
    | ( c2_1 @ a662 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('243',plain,
    ( ( c2_1 @ a662 )
    | ~ hskp57 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl635,plain,
    ( ( c1_1 @ a662 )
   <= ( c1_1 @ a662 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl347_129,plain,
    ( ! [X4: $i] :
        ( ~ ( c2_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ( c0_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c2_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ( c0_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl3906,plain,
    ( ( ~ ( c2_1 @ a662 )
      | ( c0_1 @ a662 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c2_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ( c0_1 @ X4 ) )
      & ( c1_1 @ a662 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl347]) ).

thf('244',plain,
    ( ( c0_1 @ a662 )
    | ~ ( c1_1 @ a662 )
    | ~ ! [X4: $i] :
          ( ~ ( c2_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ( c0_1 @ X4 ) )
    | ~ ( c2_1 @ a662 ) ),
    inference(split,[status(esa)],[zip_derived_cl3906]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp55
    | ~ ( c2_1 @ a653 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('245',plain,
    ( ~ ( c2_1 @ a653 )
    | ~ hskp55 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp55
    | ( c3_1 @ a653 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('246',plain,
    ( ( c3_1 @ a653 )
    | ~ hskp55 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp55
    | ( c1_1 @ a653 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('247',plain,
    ( ( c1_1 @ a653 )
    | ~ hskp55 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl653,plain,
    ( ( c1_1 @ a653 )
   <= ( c1_1 @ a653 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl469_130,plain,
    ( ! [X52: $i] :
        ( ~ ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ( c2_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ~ ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl4016,plain,
    ( ( ~ ( c3_1 @ a653 )
      | ( c2_1 @ a653 ) )
   <= ( ! [X52: $i] :
          ( ~ ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ( c2_1 @ X52 ) )
      & ( c1_1 @ a653 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl653,zip_derived_cl469]) ).

thf('248',plain,
    ( ( c2_1 @ a653 )
    | ~ ( c1_1 @ a653 )
    | ~ ! [X52: $i] :
          ( ~ ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ( c2_1 @ X52 ) )
    | ~ ( c3_1 @ a653 ) ),
    inference(split,[status(esa)],[zip_derived_cl4016]) ).

thf('249',plain,
    ( ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | hskp57
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ( c1_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp46
    | ( c3_1 @ a626 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('250',plain,
    ( ( c3_1 @ a626 )
    | ~ hskp46 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp46
    | ( c1_1 @ a626 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('251',plain,
    ( ( c1_1 @ a626 )
    | ~ hskp46 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp46
    | ( c0_1 @ a626 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('252',plain,
    ( ( c0_1 @ a626 )
    | ~ hskp46 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl721,plain,
    ( ( c1_1 @ a626 )
   <= ( c1_1 @ a626 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl356_131,plain,
    ( ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl4187,plain,
    ( ( ~ ( c0_1 @ a626 )
      | ~ ( c3_1 @ a626 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c1_1 @ a626 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl356]) ).

thf('253',plain,
    ( ~ ! [X8: $i] :
          ( ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c1_1 @ a626 )
    | ~ ( c3_1 @ a626 )
    | ~ ( c0_1 @ a626 ) ),
    inference(split,[status(esa)],[zip_derived_cl4187]) ).

thf('254',plain,
    ( ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ( c1_1 @ X1 ) )
    | hskp55
    | ! [X2: $i] :
        ( ( c1_1 @ X2 )
        | ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl32,plain,
    ! [X43: $i,X44: $i] :
      ( ~ ( c1_1 @ X43 )
      | ( c2_1 @ X43 )
      | ( c3_1 @ X43 )
      | ~ ndr1_0
      | ( c1_1 @ X44 )
      | ~ ( c0_1 @ X44 )
      | ~ ( c3_1 @ X44 )
      | ~ ndr1_0
      | hskp46 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('255',plain,
    ( hskp46
    | ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ( c1_1 @ X1 ) )
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl188,plain,
    ( ~ hskp34
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('256',plain,
    ( ndr1_0
    | ~ hskp34 ),
    inference(split,[status(esa)],[zip_derived_cl188]) ).

thf(zip_derived_cl192,plain,
    ( ~ hskp33
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('257',plain,
    ( ndr1_0
    | ~ hskp33 ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl316,plain,
    ( ~ hskp2
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('258',plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl316]) ).

thf(zip_derived_cl57,plain,
    ( hskp33
    | hskp34
    | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('259',plain,
    ( hskp34
    | hskp2
    | hskp33 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf('260',plain,
    ( ! [X4: $i] :
        ( ~ ( c2_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ( c0_1 @ X4 ) )
    | ! [X57: $i] :
        ( ~ ( c2_1 @ X57 )
        | ( c1_1 @ X57 )
        | ( c0_1 @ X57 ) )
    | ~ ndr1_0
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl763_132,plain,
    ( ~ ( c1_1 @ a617 )
   <= ~ ( c1_1 @ a617 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl403_133,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl2266,plain,
    ( ( ~ ( c2_1 @ a617 )
      | ~ ( c3_1 @ a617 ) )
   <= ( ~ ( c1_1 @ a617 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl763,zip_derived_cl403]) ).

thf('261',plain,
    ( ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ( c1_1 @ a617 )
    | ~ ( c3_1 @ a617 )
    | ~ ( c2_1 @ a617 ) ),
    inference(split,[status(esa)],[zip_derived_cl2266]) ).

thf('262',plain,
    ( ( c2_1 @ a617 )
    | ~ hskp41 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf('263',plain,
    ( ~ ( c1_1 @ a617 )
    | ~ hskp41 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp41
    | ( c3_1 @ a617 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('264',plain,
    ( ( c3_1 @ a617 )
    | ~ hskp41 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl929_134,plain,
    ( ~ ( c1_1 @ a635 )
   <= ~ ( c1_1 @ a635 ) ),
    inference(split,[status(esa)],[zip_derived_cl245]) ).

thf(zip_derived_cl379_135,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ( c2_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ( c2_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl2733,plain,
    ( ( ~ ( c0_1 @ a635 )
      | ( c2_1 @ a635 ) )
   <= ( ~ ( c1_1 @ a635 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl929,zip_derived_cl379]) ).

thf('265',plain,
    ( ~ ( c0_1 @ a635 )
    | ( c1_1 @ a635 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ( c2_1 @ X16 ) )
    | ( c2_1 @ a635 ) ),
    inference(split,[status(esa)],[zip_derived_cl2733]) ).

thf(zip_derived_cl42,plain,
    ! [X64: $i,X65: $i] :
      ( ~ ( c1_1 @ X64 )
      | ~ ( c0_1 @ X64 )
      | ( c2_1 @ X64 )
      | ~ ndr1_0
      | hskp41
      | ~ ( c1_1 @ X65 )
      | ~ ( c3_1 @ X65 )
      | ( c2_1 @ X65 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('266',plain,
    ( ! [X52: $i] :
        ( ~ ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ( c2_1 @ X52 ) )
    | hskp41
    | ! [X20: $i] :
        ( ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 )
        | ( c2_1 @ X20 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl581_136,plain,
    ( ( c1_1 @ a673 )
   <= ( c1_1 @ a673 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl431_137,plain,
    ( ! [X34: $i] :
        ( ~ ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 )
        | ~ ( c1_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ~ ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 )
        | ~ ( c1_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl3739,plain,
    ( ( ~ ( c3_1 @ a673 )
      | ~ ( c2_1 @ a673 ) )
   <= ( ! [X34: $i] :
          ( ~ ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 )
          | ~ ( c1_1 @ X34 ) )
      & ( c1_1 @ a673 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl431]) ).

thf('267',plain,
    ( ~ ( c2_1 @ a673 )
    | ~ ( c3_1 @ a673 )
    | ~ ! [X34: $i] :
          ( ~ ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 )
          | ~ ( c1_1 @ X34 ) )
    | ~ ( c1_1 @ a673 ) ),
    inference(split,[status(esa)],[zip_derived_cl3739]) ).

thf(zip_derived_cl69,plain,
    ( ~ hskp64
    | ( c3_1 @ a673 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('268',plain,
    ( ( c3_1 @ a673 )
    | ~ hskp64 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf('269',plain,
    ( ( c1_1 @ a673 )
    | ~ hskp64 ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl581_138,plain,
    ( ( c1_1 @ a673 )
   <= ( c1_1 @ a673 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl469_139,plain,
    ( ! [X52: $i] :
        ( ~ ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ( c2_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ~ ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl3740,plain,
    ( ( ~ ( c3_1 @ a673 )
      | ( c2_1 @ a673 ) )
   <= ( ! [X52: $i] :
          ( ~ ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ( c2_1 @ X52 ) )
      & ( c1_1 @ a673 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl469]) ).

thf('270',plain,
    ( ( c2_1 @ a673 )
    | ~ ( c3_1 @ a673 )
    | ~ ! [X52: $i] :
          ( ~ ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ( c2_1 @ X52 ) )
    | ~ ( c1_1 @ a673 ) ),
    inference(split,[status(esa)],[zip_derived_cl3740]) ).

thf(zip_derived_cl2,plain,
    ( hskp64
    | hskp65
    | hskp66 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('271',plain,
    ( hskp65
    | hskp64
    | hskp66 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl67,plain,
    ( ~ hskp65
    | ( c0_1 @ a674 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('272',plain,
    ( ( c0_1 @ a674 )
    | ~ hskp65 ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl333_140,plain,
    ( ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ( c1_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ( c1_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl431_141,plain,
    ( ! [X34: $i] :
        ( ~ ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 )
        | ~ ( c1_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ~ ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 )
        | ~ ( c1_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1636,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ( c1_1 @ X1 ) )
      & ! [X34: $i] :
          ( ~ ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 )
          | ~ ( c1_1 @ X34 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl431]) ).

thf(zip_derived_cl1645,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ( c1_1 @ X1 ) )
      & ! [X34: $i] :
          ( ~ ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 )
          | ~ ( c1_1 @ X34 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1636]) ).

thf(zip_derived_cl569_142,plain,
    ( ( c2_1 @ a674 )
   <= ( c2_1 @ a674 ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl6058,plain,
    ( ( ~ ( c0_1 @ a674 )
      | ~ ( c3_1 @ a674 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ( c1_1 @ X1 ) )
      & ! [X34: $i] :
          ( ~ ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 )
          | ~ ( c1_1 @ X34 ) )
      & ( c2_1 @ a674 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1645,zip_derived_cl569]) ).

thf('273',plain,
    ( ~ ( c3_1 @ a674 )
    | ~ ( c0_1 @ a674 )
    | ~ ! [X34: $i] :
          ( ~ ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 )
          | ~ ( c1_1 @ X34 ) )
    | ~ ( c2_1 @ a674 )
    | ~ ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ( c1_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6058]) ).

thf(zip_derived_cl569_143,plain,
    ( ( c2_1 @ a674 )
   <= ( c2_1 @ a674 ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl434_144,plain,
    ( ! [X37: $i] :
        ( ~ ( c2_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c0_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ~ ( c2_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c0_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl3624,plain,
    ( ( ( c3_1 @ a674 )
      | ~ ( c0_1 @ a674 ) )
   <= ( ! [X37: $i] :
          ( ~ ( c2_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c0_1 @ X37 ) )
      & ( c2_1 @ a674 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl434]) ).

thf('274',plain,
    ( ~ ! [X37: $i] :
          ( ~ ( c2_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c0_1 @ X37 ) )
    | ( c3_1 @ a674 )
    | ~ ( c2_1 @ a674 )
    | ~ ( c0_1 @ a674 ) ),
    inference(split,[status(esa)],[zip_derived_cl3624]) ).

thf('275',plain,
    ( ! [X53: $i] :
        ( ~ ( c2_1 @ X53 )
        | ~ ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 ) )
    | ! [X37: $i] :
        ( ~ ( c2_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c0_1 @ X37 ) )
    | ~ ndr1_0
    | ! [X55: $i] :
        ( ~ ( c3_1 @ X55 )
        | ~ ( c0_1 @ X55 )
        | ~ ( c2_1 @ X55 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf('276',plain,
    ( ( c2_1 @ a614 )
    | ~ hskp40 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf('277',plain,
    ( ( c1_1 @ a614 )
    | ~ hskp40 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp40
    | ( c0_1 @ a614 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('278',plain,
    ( ( c0_1 @ a614 )
    | ~ hskp40 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl771_145,plain,
    ( ( c1_1 @ a614 )
   <= ( c1_1 @ a614 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl475,plain,
    ( ! [X53: $i] :
        ( ~ ( c2_1 @ X53 )
        | ~ ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ~ ( c2_1 @ X53 )
        | ~ ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl4401,plain,
    ( ( ~ ( c2_1 @ a614 )
      | ~ ( c0_1 @ a614 ) )
   <= ( ! [X53: $i] :
          ( ~ ( c2_1 @ X53 )
          | ~ ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 ) )
      & ( c1_1 @ a614 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl771,zip_derived_cl475]) ).

thf('279',plain,
    ( ~ ( c2_1 @ a614 )
    | ~ ( c1_1 @ a614 )
    | ~ ! [X53: $i] :
          ( ~ ( c2_1 @ X53 )
          | ~ ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 ) )
    | ~ ( c0_1 @ a614 ) ),
    inference(split,[status(esa)],[zip_derived_cl4401]) ).

thf(zip_derived_cl45,plain,
    ! [X71: $i] :
      ( ( c3_1 @ X71 )
      | ~ ( c1_1 @ X71 )
      | ( c2_1 @ X71 )
      | ~ ndr1_0
      | hskp40
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('280',plain,
    ( hskp10
    | hskp40
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl285,plain,
    ( ~ hskp10
    | ( c0_1 @ a615 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('281',plain,
    ( ( c0_1 @ a615 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl285]) ).

thf(zip_derived_cl333_146,plain,
    ( ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ( c1_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ( c1_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl469_147,plain,
    ( ! [X52: $i] :
        ( ~ ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ( c2_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ~ ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl2851,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ( c1_1 @ X1 ) )
      & ! [X52: $i] :
          ( ~ ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ( c2_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl469]) ).

thf(zip_derived_cl2859,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ( c1_1 @ X1 ) )
      & ! [X52: $i] :
          ( ~ ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ( c2_1 @ X52 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2851]) ).

thf(zip_derived_cl1013_148,plain,
    ( ~ ( c2_1 @ a615 )
   <= ~ ( c2_1 @ a615 ) ),
    inference(split,[status(esa)],[zip_derived_cl287]) ).

thf(zip_derived_cl16201,plain,
    ( ( ~ ( c0_1 @ a615 )
      | ~ ( c3_1 @ a615 ) )
   <= ( ~ ( c2_1 @ a615 )
      & ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ( c1_1 @ X1 ) )
      & ! [X52: $i] :
          ( ~ ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ( c2_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2859,zip_derived_cl1013]) ).

thf('282',plain,
    ( ~ ( c0_1 @ a615 )
    | ~ ( c3_1 @ a615 )
    | ~ ! [X52: $i] :
          ( ~ ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ( c2_1 @ X52 ) )
    | ~ ! [X1: $i] :
          ( ~ ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ( c1_1 @ X1 ) )
    | ( c2_1 @ a615 ) ),
    inference(split,[status(esa)],[zip_derived_cl16201]) ).

thf(zip_derived_cl42993,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257','258','259','260','261','262','263','264','265','266','267','268','269','270','271','272','273','274','275','276','277','278','279','280','281','282']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SYN440+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eBZjYRh8pz true
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sat Aug 26 17:54:44 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 66.55/10.26  % Solved by fo/fo1_av.sh.
% 66.55/10.26  % done 9549 iterations in 9.407s
% 66.55/10.26  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 66.55/10.26  % SZS output start Refutation
% See solution above
% 66.55/10.27  
% 66.55/10.27  
% 66.55/10.27  % Terminating...
% 67.71/10.41  % Runner terminated.
% 67.71/10.43  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------