TSTP Solution File: SYN471+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN471+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.7p1UvDclqA true

% Computer : n007.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 04:03:51 EDT 2023

% Result   : Theorem 8.09s 1.80s
% Output   : Refutation 8.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   70
% Syntax   : Number of formulae    :  497 (   1 unt;  69 typ;   0 def)
%            Number of atoms       : 3355 (   0 equ;   0 cnn)
%            Maximal formula atoms :  718 (   7 avg)
%            Number of connectives : 7054 (1663   ~;2079   |; 453   &;2464   @)
%                                         (   0 <=>; 230  =>; 165  <=;   0 <~>)
%            Maximal formula depth :  107 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   70 (  69 usr;  66 con; 0-1 aty)
%            Number of variables   :  572 (   0   ^; 572   !;   0   ?; 572   :)

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

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

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

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

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

thf(a645_type,type,
    a645: $i ).

thf(a595_type,type,
    a595: $i ).

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

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

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

thf(a593_type,type,
    a593: $i ).

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

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

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

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

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

thf(a594_type,type,
    a594: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(a631_type,type,
    a631: $i ).

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

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

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

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

thf(a630_type,type,
    a630: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(a596_type,type,
    a596: $i ).

thf(a690_type,type,
    a690: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c2_1 @ a593 )
          & ~ ( c0_1 @ a593 )
          & ~ ( c3_1 @ a593 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c0_1 @ a594 )
          & ( c1_1 @ a594 )
          & ~ ( c3_1 @ a594 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c2_1 @ a596 )
          & ~ ( c0_1 @ a596 )
          & ~ ( c1_1 @ a596 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c1_1 @ a597 )
          & ( c2_1 @ a597 )
          & ~ ( c3_1 @ a597 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ ( c0_1 @ a598 )
          & ~ ( c1_1 @ a598 )
          & ~ ( c2_1 @ a598 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c2_1 @ a599 )
          & ( c3_1 @ a599 )
          & ~ ( c1_1 @ a599 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c3_1 @ a600 )
          & ~ ( c1_1 @ a600 )
          & ~ ( c2_1 @ a600 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c2_1 @ a602 )
          & ( c3_1 @ a602 )
          & ~ ( c0_1 @ a602 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c0_1 @ a603 )
          & ~ ( c1_1 @ a603 )
          & ~ ( c2_1 @ a603 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c1_1 @ a604 )
          & ( c2_1 @ a604 )
          & ~ ( c0_1 @ a604 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c0_1 @ a605 )
          & ( c2_1 @ a605 )
          & ~ ( c3_1 @ a605 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c1_1 @ a608 )
          & ~ ( c0_1 @ a608 )
          & ~ ( c3_1 @ a608 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c2_1 @ a609 )
          & ~ ( c1_1 @ a609 )
          & ~ ( c3_1 @ a609 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c1_1 @ a614 )
          & ~ ( c2_1 @ a614 )
          & ~ ( c3_1 @ a614 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c0_1 @ a615 )
          & ( c2_1 @ a615 )
          & ~ ( c1_1 @ a615 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c0_1 @ a619 )
          & ~ ( c1_1 @ a619 )
          & ~ ( c3_1 @ a619 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c1_1 @ a620 )
          & ~ ( c0_1 @ a620 )
          & ~ ( c2_1 @ a620 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c0_1 @ a624 )
          & ( c1_1 @ a624 )
          & ~ ( c2_1 @ a624 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c3_1 @ a625 )
          & ~ ( c0_1 @ a625 )
          & ~ ( c1_1 @ a625 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c0_1 @ a627 )
          & ~ ( c2_1 @ a627 )
          & ~ ( c3_1 @ a627 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c0_1 @ a630 )
          & ( c3_1 @ a630 )
          & ~ ( c2_1 @ a630 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c0_1 @ a631 )
          & ( c3_1 @ a631 )
          & ~ ( c1_1 @ a631 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ ( c0_1 @ a644 )
          & ~ ( c2_1 @ a644 )
          & ~ ( c3_1 @ a644 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c3_1 @ a645 )
          & ~ ( c0_1 @ a645 )
          & ~ ( c2_1 @ a645 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c1_1 @ a651 )
          & ( c3_1 @ a651 )
          & ~ ( c2_1 @ a651 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c1_1 @ a656 )
          & ( c3_1 @ a656 )
          & ~ ( c0_1 @ a656 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ ( c0_1 @ a667 )
          & ~ ( c1_1 @ a667 )
          & ~ ( c3_1 @ a667 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ ( c1_1 @ a690 )
          & ~ ( c2_1 @ a690 )
          & ~ ( c3_1 @ a690 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c1_1 @ a595 )
          & ( c2_1 @ a595 )
          & ( c3_1 @ a595 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a618 )
          & ( c1_1 @ a618 )
          & ( c3_1 @ a618 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a637 )
          & ( c1_1 @ a637 )
          & ( c2_1 @ a637 ) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & ( c0_1 @ a672 )
          & ( c2_1 @ a672 )
          & ( c3_1 @ a672 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c1_1 @ V )
              | ( c3_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ( c2_1 @ W )
              | ( c3_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c1_1 @ Y )
              | ~ ( c3_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c3_1 @ Z )
              | ~ ( c0_1 @ Z )
              | ~ ( c2_1 @ Z ) ) ) )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c2_1 @ X1 ) ) )
        | ! [X2: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X2 )
              | ( c3_1 @ X2 )
              | ~ ( c0_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X3 )
              | ~ ( c0_1 @ X3 )
              | ~ ( c3_1 @ X3 ) ) ) )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c1_1 @ X4 )
              | ( c2_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X5 )
              | ~ ( c0_1 @ X5 )
              | ~ ( c2_1 @ X5 ) ) )
        | hskp0 )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c1_1 @ X6 )
              | ( c2_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X7 )
              | ~ ( c1_1 @ X7 )
              | ~ ( c2_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X8 )
              | ~ ( c1_1 @ X8 )
              | ~ ( c2_1 @ X8 ) ) ) )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ( c3_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ~ ( c3_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X11 )
              | ~ ( c2_1 @ X11 )
              | ~ ( c3_1 @ X11 ) ) ) )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ~ ( c2_1 @ X12 ) ) )
        | ! [X13: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X13 )
              | ~ ( c0_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) )
        | hskp1 )
      & ( ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ( c1_1 @ X14 )
              | ~ ( c2_1 @ X14 ) ) )
        | hskp28
        | hskp2 )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c2_1 @ X15 ) ) )
        | hskp3
        | hskp4 )
      & ( ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ( c1_1 @ X16 )
              | ~ ( c3_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c2_1 @ X17 )
              | ( c3_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ~ ( c2_1 @ X18 )
              | ~ ( c3_1 @ X18 ) ) ) )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c1_1 @ X19 )
              | ~ ( c3_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c3_1 @ X20 )
              | ~ ( c1_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X21 )
              | ~ ( c0_1 @ X21 )
              | ~ ( c1_1 @ X21 ) ) ) )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c1_1 @ X22 )
              | ~ ( c3_1 @ X22 ) ) )
        | ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ~ ( c2_1 @ X23 )
              | ~ ( c3_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X24 )
              | ~ ( c0_1 @ X24 )
              | ~ ( c3_1 @ X24 ) ) ) )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c1_1 @ X25 )
              | ~ ( c3_1 @ X25 ) ) )
        | hskp5
        | hskp6 )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c2_1 @ X26 )
              | ( c3_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c3_1 @ X27 )
              | ~ ( c1_1 @ X27 ) ) )
        | hskp5 )
      & ( ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c2_1 @ X28 )
              | ( c3_1 @ X28 ) ) )
        | ! [X29: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X29 )
              | ( c3_1 @ X29 )
              | ~ ( c0_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X30 )
              | ~ ( c1_1 @ X30 )
              | ~ ( c2_1 @ X30 ) ) ) )
      & ( ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ( c2_1 @ X31 )
              | ( c3_1 @ X31 ) ) )
        | ! [X32: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X32 )
              | ~ ( c1_1 @ X32 )
              | ~ ( c2_1 @ X32 ) ) )
        | hskp7 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c2_1 @ X33 )
              | ~ ( c1_1 @ X33 ) ) )
        | ! [X34: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X34 )
              | ( c2_1 @ X34 )
              | ~ ( c0_1 @ X34 ) ) )
        | hskp8 )
      & ( ! [X35: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X35 )
              | ( c2_1 @ X35 )
              | ~ ( c1_1 @ X35 ) ) )
        | ! [X36: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X36 )
              | ( c3_1 @ X36 )
              | ~ ( c2_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X37 )
              | ~ ( c2_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) ) )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ( c2_1 @ X38 )
              | ~ ( c1_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X39 )
              | ~ ( c2_1 @ X39 )
              | ~ ( c3_1 @ X39 ) ) )
        | hskp9 )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ( c2_1 @ X40 )
              | ~ ( c1_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X41 )
              | ~ ( c2_1 @ X41 )
              | ~ ( c3_1 @ X41 ) ) )
        | hskp10 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ( c3_1 @ X42 )
              | ~ ( c1_1 @ X42 ) ) )
        | ! [X43: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X43 )
              | ~ ( c0_1 @ X43 )
              | ~ ( c3_1 @ X43 ) ) )
        | hskp1 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ( c3_1 @ X44 )
              | ~ ( c1_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X45 )
              | ~ ( c1_1 @ X45 )
              | ~ ( c3_1 @ X45 ) ) )
        | hskp28 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ( c3_1 @ X46 )
              | ~ ( c2_1 @ X46 ) ) )
        | ! [X47: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X47 )
              | ( c3_1 @ X47 )
              | ~ ( c0_1 @ X47 ) ) )
        | hskp11 )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ( c3_1 @ X48 )
              | ~ ( c2_1 @ X48 ) ) )
        | ! [X49: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X49 )
              | ~ ( c1_1 @ X49 )
              | ~ ( c3_1 @ X49 ) ) )
        | hskp12 )
      & ( ! [X50: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X50 )
              | ( c3_1 @ X50 )
              | ~ ( c2_1 @ X50 ) ) )
        | hskp10
        | hskp5 )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X51 )
              | ( c3_1 @ X51 )
              | ~ ( c2_1 @ X51 ) ) )
        | hskp28
        | hskp7 )
      & ( ! [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 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X54 )
              | ~ ( c2_1 @ X54 )
              | ~ ( c3_1 @ X54 ) ) ) )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X55 )
              | ~ ( c1_1 @ X55 )
              | ~ ( c2_1 @ X55 ) ) )
        | ! [X56: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X56 )
              | ~ ( c0_1 @ X56 )
              | ~ ( c3_1 @ X56 ) ) )
        | hskp13 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X57 )
              | ~ ( c1_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | ! [X58: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X58 )
              | ~ ( c1_1 @ X58 )
              | ~ ( c2_1 @ X58 ) ) )
        | hskp14 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X59 )
              | ~ ( c1_1 @ X59 )
              | ~ ( c3_1 @ X59 ) ) )
        | hskp14
        | hskp8 )
      & ( ! [X60: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X60 )
              | ~ ( c2_1 @ X60 )
              | ~ ( c3_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X61 )
              | ( c3_1 @ X61 )
              | ~ ( c1_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X62 )
              | ~ ( c1_1 @ X62 )
              | ~ ( c2_1 @ X62 ) ) ) )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X63 )
              | ~ ( c2_1 @ X63 )
              | ~ ( c3_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X64 )
              | ~ ( c1_1 @ X64 )
              | ~ ( c2_1 @ X64 ) ) )
        | hskp29 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X65 )
              | ~ ( c2_1 @ X65 )
              | ~ ( c3_1 @ X65 ) ) )
        | hskp15
        | hskp16 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ( c2_1 @ X66 )
              | ( c3_1 @ X66 ) ) )
        | hskp14
        | hskp4 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ( c2_1 @ X67 )
              | ~ ( c0_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X68 )
              | ~ ( c0_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | hskp12 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X69 )
              | ( c2_1 @ X69 )
              | ~ ( c3_1 @ X69 ) ) )
        | hskp17
        | hskp18 )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X70 )
              | ( c3_1 @ X70 )
              | ~ ( c2_1 @ X70 ) ) )
        | ! [X71: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X71 )
              | ~ ( c1_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | hskp18 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ( c3_1 @ X72 )
              | ~ ( c2_1 @ X72 ) ) )
        | hskp19
        | hskp7 )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ~ ( c0_1 @ X73 )
              | ~ ( c2_1 @ X73 ) ) )
        | ! [X74: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X74 )
              | ~ ( c0_1 @ X74 )
              | ~ ( c1_1 @ X74 ) ) )
        | hskp12 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ~ ( c0_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | ! [X76: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X76 )
              | ( c3_1 @ X76 )
              | ~ ( c0_1 @ X76 ) ) )
        | hskp20 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X77 )
              | ~ ( c0_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X78 )
              | ( c3_1 @ X78 )
              | ~ ( c1_1 @ X78 ) ) )
        | ! [X79: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X79 )
              | ~ ( c1_1 @ X79 )
              | ~ ( c2_1 @ X79 ) ) ) )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X80 )
              | ~ ( c0_1 @ X80 )
              | ~ ( c3_1 @ X80 ) ) )
        | ! [X81: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X81 )
              | ~ ( c0_1 @ X81 )
              | ~ ( c1_1 @ X81 ) ) )
        | hskp21 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ~ ( c0_1 @ X82 )
              | ~ ( c3_1 @ X82 ) ) )
        | hskp14
        | hskp5 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X83 )
              | ~ ( c2_1 @ X83 )
              | ~ ( c3_1 @ X83 ) ) )
        | hskp13
        | hskp12 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X84 )
              | ( c3_1 @ X84 )
              | ~ ( c0_1 @ X84 ) ) )
        | ! [X85: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X85 )
              | ~ ( c0_1 @ X85 )
              | ~ ( c1_1 @ X85 ) ) )
        | hskp29 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X86 )
              | ( c3_1 @ X86 )
              | ~ ( c0_1 @ X86 ) ) )
        | ! [X87: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X87 )
              | ~ ( c2_1 @ X87 )
              | ~ ( c3_1 @ X87 ) ) )
        | hskp30 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X88 )
              | ( c3_1 @ X88 )
              | ~ ( c0_1 @ X88 ) ) )
        | hskp19
        | hskp28 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X89 )
              | ( c3_1 @ X89 )
              | ~ ( c1_1 @ X89 ) ) )
        | ! [X90: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X90 )
              | ~ ( c1_1 @ X90 )
              | ~ ( c2_1 @ X90 ) ) )
        | ! [X91: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X91 )
              | ~ ( c2_1 @ X91 )
              | ~ ( c3_1 @ X91 ) ) ) )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X92 )
              | ~ ( c0_1 @ X92 )
              | ~ ( c1_1 @ X92 ) ) )
        | ! [X93: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X93 )
              | ~ ( c1_1 @ X93 )
              | ~ ( c2_1 @ X93 ) ) )
        | hskp18 )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X94 )
              | ~ ( c0_1 @ X94 )
              | ~ ( c1_1 @ X94 ) ) )
        | hskp8
        | hskp4 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X95 )
              | ~ ( c0_1 @ X95 )
              | ~ ( c1_1 @ X95 ) ) )
        | hskp4
        | hskp22 )
      & ( ! [X96: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X96 )
              | ~ ( c0_1 @ X96 )
              | ~ ( c3_1 @ X96 ) ) )
        | hskp23
        | hskp22 )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X97 )
              | ~ ( c1_1 @ X97 )
              | ~ ( c3_1 @ X97 ) ) )
        | hskp29
        | hskp6 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X98 )
              | ~ ( c1_1 @ X98 )
              | ~ ( c3_1 @ X98 ) ) )
        | hskp10
        | hskp5 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X99 )
              | ~ ( c0_1 @ X99 )
              | ~ ( c1_1 @ X99 ) ) )
        | ! [X100: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X100 )
              | ~ ( c2_1 @ X100 )
              | ~ ( c3_1 @ X100 ) ) )
        | hskp24 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X101 )
              | ~ ( c0_1 @ X101 )
              | ~ ( c1_1 @ X101 ) ) )
        | ! [X102: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X102 )
              | ~ ( c2_1 @ X102 )
              | ~ ( c3_1 @ X102 ) ) )
        | hskp17 )
      & ( ! [X103: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X103 )
              | ~ ( c0_1 @ X103 )
              | ~ ( c2_1 @ X103 ) ) )
        | hskp14 )
      & ( ! [X104: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X104 )
              | ~ ( c0_1 @ X104 )
              | ~ ( c2_1 @ X104 ) ) )
        | hskp28
        | hskp4 )
      & ( ! [X105: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X105 )
              | ~ ( c0_1 @ X105 )
              | ~ ( c2_1 @ X105 ) ) )
        | hskp25 )
      & ( ! [X106: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X106 )
              | ~ ( c1_1 @ X106 )
              | ~ ( c2_1 @ X106 ) ) )
        | hskp0
        | hskp22 )
      & ( ! [X107: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X107 )
              | ~ ( c1_1 @ X107 )
              | ~ ( c2_1 @ X107 ) ) )
        | hskp29
        | hskp16 )
      & ( ! [X108: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X108 )
              | ~ ( c2_1 @ X108 )
              | ~ ( c3_1 @ X108 ) ) )
        | hskp28
        | hskp2 )
      & ( ! [X109: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X109 )
              | ~ ( c2_1 @ X109 )
              | ~ ( c3_1 @ X109 ) ) )
        | hskp5
        | hskp18 )
      & ( hskp30
        | hskp3
        | hskp26 )
      & ( hskp29
        | hskp25
        | hskp23 )
      & ( hskp1
        | hskp31
        | hskp24 )
      & ( hskp1
        | hskp21
        | hskp4 )
      & ( hskp10
        | hskp28
        | hskp2 )
      & ( hskp10
        | hskp9
        | hskp12 )
      & ( hskp10
        | hskp12
        | hskp18 )
      & ( hskp9
        | hskp24 )
      & ( hskp3
        | hskp13
        | hskp27 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c2_1 @ a593 )
        & ~ ( c0_1 @ a593 )
        & ~ ( c3_1 @ a593 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c0_1 @ a594 )
        & ( c1_1 @ a594 )
        & ~ ( c3_1 @ a594 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c2_1 @ a596 )
        & ~ ( c0_1 @ a596 )
        & ~ ( c1_1 @ a596 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c1_1 @ a597 )
        & ( c2_1 @ a597 )
        & ~ ( c3_1 @ a597 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ ( c0_1 @ a598 )
        & ~ ( c1_1 @ a598 )
        & ~ ( c2_1 @ a598 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c2_1 @ a599 )
        & ( c3_1 @ a599 )
        & ~ ( c1_1 @ a599 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c3_1 @ a600 )
        & ~ ( c1_1 @ a600 )
        & ~ ( c2_1 @ a600 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c2_1 @ a602 )
        & ( c3_1 @ a602 )
        & ~ ( c0_1 @ a602 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c0_1 @ a603 )
        & ~ ( c1_1 @ a603 )
        & ~ ( c2_1 @ a603 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c1_1 @ a604 )
        & ( c2_1 @ a604 )
        & ~ ( c0_1 @ a604 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c0_1 @ a605 )
        & ( c2_1 @ a605 )
        & ~ ( c3_1 @ a605 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c1_1 @ a608 )
        & ~ ( c0_1 @ a608 )
        & ~ ( c3_1 @ a608 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c2_1 @ a609 )
        & ~ ( c1_1 @ a609 )
        & ~ ( c3_1 @ a609 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c1_1 @ a614 )
        & ~ ( c2_1 @ a614 )
        & ~ ( c3_1 @ a614 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c0_1 @ a615 )
        & ( c2_1 @ a615 )
        & ~ ( c1_1 @ a615 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c0_1 @ a619 )
        & ~ ( c1_1 @ a619 )
        & ~ ( c3_1 @ a619 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c1_1 @ a620 )
        & ~ ( c0_1 @ a620 )
        & ~ ( c2_1 @ a620 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c0_1 @ a624 )
        & ( c1_1 @ a624 )
        & ~ ( c2_1 @ a624 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c3_1 @ a625 )
        & ~ ( c0_1 @ a625 )
        & ~ ( c1_1 @ a625 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c0_1 @ a627 )
        & ~ ( c2_1 @ a627 )
        & ~ ( c3_1 @ a627 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c0_1 @ a630 )
        & ( c3_1 @ a630 )
        & ~ ( c2_1 @ a630 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c0_1 @ a631 )
        & ( c3_1 @ a631 )
        & ~ ( c1_1 @ a631 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ ( c0_1 @ a644 )
        & ~ ( c2_1 @ a644 )
        & ~ ( c3_1 @ a644 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c3_1 @ a645 )
        & ~ ( c0_1 @ a645 )
        & ~ ( c2_1 @ a645 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c1_1 @ a651 )
        & ( c3_1 @ a651 )
        & ~ ( c2_1 @ a651 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c1_1 @ a656 )
        & ( c3_1 @ a656 )
        & ~ ( c0_1 @ a656 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ ( c0_1 @ a667 )
        & ~ ( c1_1 @ a667 )
        & ~ ( c3_1 @ a667 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ ( c1_1 @ a690 )
        & ~ ( c2_1 @ a690 )
        & ~ ( c3_1 @ a690 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c1_1 @ a595 )
        & ( c2_1 @ a595 )
        & ( c3_1 @ a595 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a618 )
        & ( c1_1 @ a618 )
        & ( c3_1 @ a618 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a637 )
        & ( c1_1 @ a637 )
        & ( c2_1 @ a637 ) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ( c0_1 @ a672 )
        & ( c2_1 @ a672 )
        & ( c3_1 @ a672 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c1_1 @ V )
            | ( c3_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ( c2_1 @ W )
            | ( c3_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c1_1 @ Y )
            | ~ ( c3_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c3_1 @ Z )
            | ~ ( c0_1 @ Z )
            | ~ ( c2_1 @ Z ) ) ) )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c2_1 @ X1 ) ) )
      | ! [X2: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X2 )
            | ( c3_1 @ X2 )
            | ~ ( c0_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X3 )
            | ~ ( c0_1 @ X3 )
            | ~ ( c3_1 @ X3 ) ) ) )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c1_1 @ X4 )
            | ( c2_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X5 )
            | ~ ( c0_1 @ X5 )
            | ~ ( c2_1 @ X5 ) ) )
      | hskp0 )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c1_1 @ X6 )
            | ( c2_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X7 )
            | ~ ( c1_1 @ X7 )
            | ~ ( c2_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X8 )
            | ~ ( c1_1 @ X8 )
            | ~ ( c2_1 @ X8 ) ) ) )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ( c3_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ~ ( c3_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X11 )
            | ~ ( c2_1 @ X11 )
            | ~ ( c3_1 @ X11 ) ) ) )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ~ ( c2_1 @ X12 ) ) )
      | ! [X13: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X13 )
            | ~ ( c0_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) )
      | hskp1 )
    & ( ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ( c1_1 @ X14 )
            | ~ ( c2_1 @ X14 ) ) )
      | hskp28
      | hskp2 )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c2_1 @ X15 ) ) )
      | hskp3
      | hskp4 )
    & ( ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ( c1_1 @ X16 )
            | ~ ( c3_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c2_1 @ X17 )
            | ( c3_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ~ ( c2_1 @ X18 )
            | ~ ( c3_1 @ X18 ) ) ) )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c1_1 @ X19 )
            | ~ ( c3_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c3_1 @ X20 )
            | ~ ( c1_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X21 )
            | ~ ( c0_1 @ X21 )
            | ~ ( c1_1 @ X21 ) ) ) )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c1_1 @ X22 )
            | ~ ( c3_1 @ X22 ) ) )
      | ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ~ ( c2_1 @ X23 )
            | ~ ( c3_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X24 )
            | ~ ( c0_1 @ X24 )
            | ~ ( c3_1 @ X24 ) ) ) )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c1_1 @ X25 )
            | ~ ( c3_1 @ X25 ) ) )
      | hskp5
      | hskp6 )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c2_1 @ X26 )
            | ( c3_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c3_1 @ X27 )
            | ~ ( c1_1 @ X27 ) ) )
      | hskp5 )
    & ( ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c2_1 @ X28 )
            | ( c3_1 @ X28 ) ) )
      | ! [X29: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X29 )
            | ( c3_1 @ X29 )
            | ~ ( c0_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X30 )
            | ~ ( c1_1 @ X30 )
            | ~ ( c2_1 @ X30 ) ) ) )
    & ( ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ( c2_1 @ X31 )
            | ( c3_1 @ X31 ) ) )
      | ! [X32: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X32 )
            | ~ ( c1_1 @ X32 )
            | ~ ( c2_1 @ X32 ) ) )
      | hskp7 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c2_1 @ X33 )
            | ~ ( c1_1 @ X33 ) ) )
      | ! [X34: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X34 )
            | ( c2_1 @ X34 )
            | ~ ( c0_1 @ X34 ) ) )
      | hskp8 )
    & ( ! [X35: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X35 )
            | ( c2_1 @ X35 )
            | ~ ( c1_1 @ X35 ) ) )
      | ! [X36: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X36 )
            | ( c3_1 @ X36 )
            | ~ ( c2_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X37 )
            | ~ ( c2_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) ) )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ( c2_1 @ X38 )
            | ~ ( c1_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X39 )
            | ~ ( c2_1 @ X39 )
            | ~ ( c3_1 @ X39 ) ) )
      | hskp9 )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ( c2_1 @ X40 )
            | ~ ( c1_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X41 )
            | ~ ( c2_1 @ X41 )
            | ~ ( c3_1 @ X41 ) ) )
      | hskp10 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ( c3_1 @ X42 )
            | ~ ( c1_1 @ X42 ) ) )
      | ! [X43: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X43 )
            | ~ ( c0_1 @ X43 )
            | ~ ( c3_1 @ X43 ) ) )
      | hskp1 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ( c3_1 @ X44 )
            | ~ ( c1_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X45 )
            | ~ ( c1_1 @ X45 )
            | ~ ( c3_1 @ X45 ) ) )
      | hskp28 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ( c3_1 @ X46 )
            | ~ ( c2_1 @ X46 ) ) )
      | ! [X47: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X47 )
            | ( c3_1 @ X47 )
            | ~ ( c0_1 @ X47 ) ) )
      | hskp11 )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ( c3_1 @ X48 )
            | ~ ( c2_1 @ X48 ) ) )
      | ! [X49: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X49 )
            | ~ ( c1_1 @ X49 )
            | ~ ( c3_1 @ X49 ) ) )
      | hskp12 )
    & ( ! [X50: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X50 )
            | ( c3_1 @ X50 )
            | ~ ( c2_1 @ X50 ) ) )
      | hskp10
      | hskp5 )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X51 )
            | ( c3_1 @ X51 )
            | ~ ( c2_1 @ X51 ) ) )
      | hskp28
      | hskp7 )
    & ( ! [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 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X54 )
            | ~ ( c2_1 @ X54 )
            | ~ ( c3_1 @ X54 ) ) ) )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X55 )
            | ~ ( c1_1 @ X55 )
            | ~ ( c2_1 @ X55 ) ) )
      | ! [X56: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X56 )
            | ~ ( c0_1 @ X56 )
            | ~ ( c3_1 @ X56 ) ) )
      | hskp13 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X57 )
            | ~ ( c1_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | ! [X58: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X58 )
            | ~ ( c1_1 @ X58 )
            | ~ ( c2_1 @ X58 ) ) )
      | hskp14 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X59 )
            | ~ ( c1_1 @ X59 )
            | ~ ( c3_1 @ X59 ) ) )
      | hskp14
      | hskp8 )
    & ( ! [X60: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X60 )
            | ~ ( c2_1 @ X60 )
            | ~ ( c3_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X61 )
            | ( c3_1 @ X61 )
            | ~ ( c1_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X62 )
            | ~ ( c1_1 @ X62 )
            | ~ ( c2_1 @ X62 ) ) ) )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X63 )
            | ~ ( c2_1 @ X63 )
            | ~ ( c3_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X64 )
            | ~ ( c1_1 @ X64 )
            | ~ ( c2_1 @ X64 ) ) )
      | hskp29 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X65 )
            | ~ ( c2_1 @ X65 )
            | ~ ( c3_1 @ X65 ) ) )
      | hskp15
      | hskp16 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ( c2_1 @ X66 )
            | ( c3_1 @ X66 ) ) )
      | hskp14
      | hskp4 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ( c2_1 @ X67 )
            | ~ ( c0_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X68 )
            | ~ ( c0_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | hskp12 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X69 )
            | ( c2_1 @ X69 )
            | ~ ( c3_1 @ X69 ) ) )
      | hskp17
      | hskp18 )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X70 )
            | ( c3_1 @ X70 )
            | ~ ( c2_1 @ X70 ) ) )
      | ! [X71: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X71 )
            | ~ ( c1_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | hskp18 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ( c3_1 @ X72 )
            | ~ ( c2_1 @ X72 ) ) )
      | hskp19
      | hskp7 )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ~ ( c0_1 @ X73 )
            | ~ ( c2_1 @ X73 ) ) )
      | ! [X74: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X74 )
            | ~ ( c0_1 @ X74 )
            | ~ ( c1_1 @ X74 ) ) )
      | hskp12 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ~ ( c0_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | ! [X76: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X76 )
            | ( c3_1 @ X76 )
            | ~ ( c0_1 @ X76 ) ) )
      | hskp20 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X77 )
            | ~ ( c0_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X78 )
            | ( c3_1 @ X78 )
            | ~ ( c1_1 @ X78 ) ) )
      | ! [X79: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X79 )
            | ~ ( c1_1 @ X79 )
            | ~ ( c2_1 @ X79 ) ) ) )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X80 )
            | ~ ( c0_1 @ X80 )
            | ~ ( c3_1 @ X80 ) ) )
      | ! [X81: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X81 )
            | ~ ( c0_1 @ X81 )
            | ~ ( c1_1 @ X81 ) ) )
      | hskp21 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ~ ( c0_1 @ X82 )
            | ~ ( c3_1 @ X82 ) ) )
      | hskp14
      | hskp5 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X83 )
            | ~ ( c2_1 @ X83 )
            | ~ ( c3_1 @ X83 ) ) )
      | hskp13
      | hskp12 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X84 )
            | ( c3_1 @ X84 )
            | ~ ( c0_1 @ X84 ) ) )
      | ! [X85: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X85 )
            | ~ ( c0_1 @ X85 )
            | ~ ( c1_1 @ X85 ) ) )
      | hskp29 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X86 )
            | ( c3_1 @ X86 )
            | ~ ( c0_1 @ X86 ) ) )
      | ! [X87: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X87 )
            | ~ ( c2_1 @ X87 )
            | ~ ( c3_1 @ X87 ) ) )
      | hskp30 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X88 )
            | ( c3_1 @ X88 )
            | ~ ( c0_1 @ X88 ) ) )
      | hskp19
      | hskp28 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X89 )
            | ( c3_1 @ X89 )
            | ~ ( c1_1 @ X89 ) ) )
      | ! [X90: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X90 )
            | ~ ( c1_1 @ X90 )
            | ~ ( c2_1 @ X90 ) ) )
      | ! [X91: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X91 )
            | ~ ( c2_1 @ X91 )
            | ~ ( c3_1 @ X91 ) ) ) )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X92 )
            | ~ ( c0_1 @ X92 )
            | ~ ( c1_1 @ X92 ) ) )
      | ! [X93: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X93 )
            | ~ ( c1_1 @ X93 )
            | ~ ( c2_1 @ X93 ) ) )
      | hskp18 )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X94 )
            | ~ ( c0_1 @ X94 )
            | ~ ( c1_1 @ X94 ) ) )
      | hskp8
      | hskp4 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X95 )
            | ~ ( c0_1 @ X95 )
            | ~ ( c1_1 @ X95 ) ) )
      | hskp4
      | hskp22 )
    & ( ! [X96: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X96 )
            | ~ ( c0_1 @ X96 )
            | ~ ( c3_1 @ X96 ) ) )
      | hskp23
      | hskp22 )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X97 )
            | ~ ( c1_1 @ X97 )
            | ~ ( c3_1 @ X97 ) ) )
      | hskp29
      | hskp6 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X98 )
            | ~ ( c1_1 @ X98 )
            | ~ ( c3_1 @ X98 ) ) )
      | hskp10
      | hskp5 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X99 )
            | ~ ( c0_1 @ X99 )
            | ~ ( c1_1 @ X99 ) ) )
      | ! [X100: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X100 )
            | ~ ( c2_1 @ X100 )
            | ~ ( c3_1 @ X100 ) ) )
      | hskp24 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X101 )
            | ~ ( c0_1 @ X101 )
            | ~ ( c1_1 @ X101 ) ) )
      | ! [X102: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X102 )
            | ~ ( c2_1 @ X102 )
            | ~ ( c3_1 @ X102 ) ) )
      | hskp17 )
    & ( ! [X103: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X103 )
            | ~ ( c0_1 @ X103 )
            | ~ ( c2_1 @ X103 ) ) )
      | hskp14 )
    & ( ! [X104: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X104 )
            | ~ ( c0_1 @ X104 )
            | ~ ( c2_1 @ X104 ) ) )
      | hskp28
      | hskp4 )
    & ( ! [X105: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X105 )
            | ~ ( c0_1 @ X105 )
            | ~ ( c2_1 @ X105 ) ) )
      | hskp25 )
    & ( ! [X106: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X106 )
            | ~ ( c1_1 @ X106 )
            | ~ ( c2_1 @ X106 ) ) )
      | hskp0
      | hskp22 )
    & ( ! [X107: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X107 )
            | ~ ( c1_1 @ X107 )
            | ~ ( c2_1 @ X107 ) ) )
      | hskp29
      | hskp16 )
    & ( ! [X108: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X108 )
            | ~ ( c2_1 @ X108 )
            | ~ ( c3_1 @ X108 ) ) )
      | hskp28
      | hskp2 )
    & ( ! [X109: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X109 )
            | ~ ( c2_1 @ X109 )
            | ~ ( c3_1 @ X109 ) ) )
      | hskp5
      | hskp18 )
    & ( hskp30
      | hskp3
      | hskp26 )
    & ( hskp29
      | hskp25
      | hskp23 )
    & ( hskp1
      | hskp31
      | hskp24 )
    & ( hskp1
      | hskp21
      | hskp4 )
    & ( hskp10
      | hskp28
      | hskp2 )
    & ( hskp10
      | hskp9
      | hskp12 )
    & ( hskp10
      | hskp12
      | hskp18 )
    & ( hskp9
      | hskp24 )
    & ( hskp3
      | hskp13
      | hskp27 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp25
    | ( c1_1 @ a656 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl526,plain,
    ( ( c1_1 @ a656 )
   <= ( c1_1 @ a656 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl44,plain,
    ! [X53: $i,X54: $i] :
      ( ( c0_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ( c2_1 @ X53 )
      | ~ ndr1_0
      | ( c2_1 @ X54 )
      | ~ ( c0_1 @ X54 )
      | ~ ( c3_1 @ X54 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl365,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl1598,plain,
    ( ( ( c0_1 @ a656 )
      | ~ ( c2_1 @ a656 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
      & ( c1_1 @ a656 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl365]) ).

thf('0',plain,
    ( ~ ( c2_1 @ a656 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
    | ~ ( c1_1 @ a656 )
    | ( c0_1 @ a656 ) ),
    inference(split,[status(esa)],[zip_derived_cl1598]) ).

thf(zip_derived_cl526_001,plain,
    ( ( c1_1 @ a656 )
   <= ( c1_1 @ a656 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl52,plain,
    ! [X68: $i,X69: $i] :
      ( ( c0_1 @ X68 )
      | ( c2_1 @ X68 )
      | ~ ( c1_1 @ X68 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X69 )
      | ~ ( c2_1 @ X69 )
      | ~ ( c3_1 @ X69 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl397,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl1839,plain,
    ( ( ( c0_1 @ a656 )
      | ( c2_1 @ a656 ) )
   <= ( ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c1_1 @ X68 ) )
      & ( c1_1 @ a656 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl397]) ).

thf('1',plain,
    ( ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c1_1 @ X68 ) )
    | ( c2_1 @ a656 )
    | ( c0_1 @ a656 )
    | ~ ( c1_1 @ a656 ) ),
    inference(split,[status(esa)],[zip_derived_cl1839]) ).

thf('2',plain,
    ( ( c1_1 @ a656 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp25
    | ~ ( c0_1 @ a656 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( ~ ( c0_1 @ a656 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl13,plain,
    ! [X4: $i] :
      ( ( c3_1 @ X4 )
      | ~ ( c0_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( hskp25
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp25
    | ( c3_1 @ a656 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( ( c3_1 @ a656 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl526_002,plain,
    ( ( c1_1 @ a656 )
   <= ( c1_1 @ a656 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl42,plain,
    ! [X50: $i] :
      ( ( c0_1 @ X50 )
      | ~ ( c1_1 @ X50 )
      | ~ ( c3_1 @ X50 )
      | ~ ndr1_0
      | hskp14
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl356,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1566,plain,
    ( ( ( c0_1 @ a656 )
      | ~ ( c3_1 @ a656 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c1_1 @ a656 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl356]) ).

thf('6',plain,
    ( ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c3_1 @ a656 )
    | ( c0_1 @ a656 )
    | ~ ( c1_1 @ a656 ) ),
    inference(split,[status(esa)],[zip_derived_cl1566]) ).

thf(zip_derived_cl66,plain,
    ! [X98: $i,X99: $i,X100: $i] :
      ( ( c0_1 @ X98 )
      | ( c1_1 @ X98 )
      | ( c3_1 @ X98 )
      | ~ ndr1_0
      | ( c0_1 @ X99 )
      | ( c1_1 @ X99 )
      | ~ ( c3_1 @ X99 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X100 )
      | ~ ( c2_1 @ X100 )
      | ~ ( c3_1 @ X100 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl454,plain,
    ( ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ( c3_1 @ X98 ) )
   <= ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ( c3_1 @ X98 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a598 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl696,plain,
    ( ~ ( c1_1 @ a598 )
   <= ~ ( c1_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl2077,plain,
    ( ( ( c3_1 @ a598 )
      | ( c0_1 @ a598 ) )
   <= ( ~ ( c1_1 @ a598 )
      & ! [X98: $i] :
          ( ( c0_1 @ X98 )
          | ( c1_1 @ X98 )
          | ( c3_1 @ X98 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl696]) ).

thf('7',plain,
    ( ~ ! [X98: $i] :
          ( ( c0_1 @ X98 )
          | ( c1_1 @ X98 )
          | ( c3_1 @ X98 ) )
    | ( c3_1 @ a598 )
    | ( c1_1 @ a598 )
    | ( c0_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl2077]) ).

thf(zip_derived_cl56,plain,
    ! [X77: $i,X78: $i] :
      ( ( c0_1 @ X77 )
      | ( c2_1 @ X77 )
      | ( c3_1 @ X77 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X78 )
      | ~ ( c1_1 @ X78 )
      | ~ ( c2_1 @ X78 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl413,plain,
    ( ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ( c3_1 @ X77 ) )
   <= ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ( c3_1 @ X77 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl28,plain,
    ! [X26: $i] :
      ( ( c1_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ( c3_1 @ X26 )
      | ~ ndr1_0
      | hskp13
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl300,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl696_003,plain,
    ( ~ ( c1_1 @ a598 )
   <= ~ ( c1_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl944,plain,
    ( ( ~ ( c3_1 @ a598 )
      | ~ ( c2_1 @ a598 ) )
   <= ( ~ ( c1_1 @ a598 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl300,zip_derived_cl696]) ).

thf(zip_derived_cl980,plain,
    ( ~ ( c3_1 @ a598 )
   <= ~ ( c3_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl944]) ).

thf(zip_derived_cl1947,plain,
    ( ( ( c2_1 @ a598 )
      | ( c0_1 @ a598 ) )
   <= ( ~ ( c3_1 @ a598 )
      & ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c2_1 @ X77 )
          | ( c3_1 @ X77 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl980]) ).

thf('8',plain,
    ( ~ ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c2_1 @ X77 )
          | ( c3_1 @ X77 ) )
    | ( c3_1 @ a598 )
    | ( c0_1 @ a598 )
    | ( c2_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl1947]) ).

thf(zip_derived_cl59,plain,
    ! [X84: $i] :
      ( ( c0_1 @ X84 )
      | ( c1_1 @ X84 )
      | ~ ( c3_1 @ X84 )
      | ~ ndr1_0
      | hskp5
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl424,plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
   <= ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl696_004,plain,
    ( ~ ( c1_1 @ a598 )
   <= ~ ( c1_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl1900,plain,
    ( ( ~ ( c3_1 @ a598 )
      | ( c0_1 @ a598 ) )
   <= ( ~ ( c1_1 @ a598 )
      & ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl696]) ).

thf('9',plain,
    ( ~ ( c3_1 @ a598 )
    | ~ ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
    | ( c0_1 @ a598 )
    | ( c1_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl1900]) ).

thf(zip_derived_cl70,plain,
    ! [X109: $i,X110: $i,X111: $i] :
      ( ( c0_1 @ X109 )
      | ( c1_1 @ X109 )
      | ( c2_1 @ X109 )
      | ~ ndr1_0
      | ( c0_1 @ X110 )
      | ( c1_1 @ X110 )
      | ~ ( c3_1 @ X110 )
      | ~ ndr1_0
      | ( c3_1 @ X111 )
      | ~ ( c0_1 @ X111 )
      | ~ ( c2_1 @ X111 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
    | ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ( c2_1 @ X101 ) )
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl72,plain,
    ( ~ hskp31
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( ~ hskp31
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl100,plain,
    ( ~ hskp24
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('12',plain,
    ( ndr1_0
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl100]) ).

thf(zip_derived_cl192,plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl124,plain,
    ( ~ hskp18
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('14',plain,
    ( ndr1_0
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl124]) ).

thf(zip_derived_cl2,plain,
    ( hskp10
    | hskp12
    | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('15',plain,
    ( hskp18
    | hskp10
    | hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp20
    | ( c3_1 @ a630 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl568,plain,
    ( ( c3_1 @ a630 )
   <= ( c3_1 @ a630 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl20,plain,
    ! [X13: $i] :
      ( ( c2_1 @ X13 )
      | ~ ( c0_1 @ X13 )
      | ~ ( c3_1 @ X13 )
      | ~ ndr1_0
      | hskp23
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl268,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1229,plain,
    ( ( ( c2_1 @ a630 )
      | ~ ( c0_1 @ a630 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ( c3_1 @ a630 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl568,zip_derived_cl268]) ).

thf('16',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
    | ~ ( c3_1 @ a630 )
    | ( c2_1 @ a630 )
    | ~ ( c0_1 @ a630 ) ),
    inference(split,[status(esa)],[zip_derived_cl1229]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp20
    | ( c0_1 @ a630 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('17',plain,
    ( ( c0_1 @ a630 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf('18',plain,
    ( ( c3_1 @ a630 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp20
    | ~ ( c2_1 @ a630 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('19',plain,
    ( ~ ( c2_1 @ a630 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl32,plain,
    ! [X33: $i,X34: $i] :
      ( ( c1_1 @ X33 )
      | ~ ( c0_1 @ X33 )
      | ~ ( c3_1 @ X33 )
      | ~ ndr1_0
      | ( c2_1 @ X34 )
      | ( c3_1 @ X34 )
      | ~ ( c0_1 @ X34 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('20',plain,
    ( hskp20
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c3_1 @ X27 ) )
    | ~ ndr1_0
    | ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl65,plain,
    ! [X96: $i,X97: $i] :
      ( ( c0_1 @ X96 )
      | ( c1_1 @ X96 )
      | ~ ( c2_1 @ X96 )
      | ~ ndr1_0
      | ( c1_1 @ X97 )
      | ~ ( c0_1 @ X97 )
      | ~ ( c3_1 @ X97 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('21',plain,
    ( ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ~ ( c2_1 @ X94 ) )
    | hskp1
    | ~ ndr1_0
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c3_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp11
    | ( c1_1 @ a608 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('22',plain,
    ( ( c1_1 @ a608 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp11
    | ~ ( c0_1 @ a608 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('23',plain,
    ( ~ ( c0_1 @ a608 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a608 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('24',plain,
    ( ~ ( c3_1 @ a608 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl49,plain,
    ! [X62: $i,X63: $i] :
      ( ( c0_1 @ X62 )
      | ( c3_1 @ X62 )
      | ~ ( c2_1 @ X62 )
      | ~ ndr1_0
      | ( c1_1 @ X63 )
      | ( c3_1 @ X63 )
      | ~ ( c0_1 @ X63 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( hskp11
    | ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
    | ~ ndr1_0
    | ! [X63: $i] :
        ( ( c1_1 @ X63 )
        | ( c3_1 @ X63 )
        | ~ ( c0_1 @ X63 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl384,plain,
    ( ! [X63: $i] :
        ( ( c1_1 @ X63 )
        | ( c3_1 @ X63 )
        | ~ ( c0_1 @ X63 ) )
   <= ! [X63: $i] :
        ( ( c1_1 @ X63 )
        | ( c3_1 @ X63 )
        | ~ ( c0_1 @ X63 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp8
    | ~ ( c1_1 @ a603 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl664,plain,
    ( ~ ( c1_1 @ a603 )
   <= ~ ( c1_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl1753,plain,
    ( ( ~ ( c0_1 @ a603 )
      | ( c3_1 @ a603 ) )
   <= ( ~ ( c1_1 @ a603 )
      & ! [X63: $i] :
          ( ( c1_1 @ X63 )
          | ( c3_1 @ X63 )
          | ~ ( c0_1 @ X63 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl384,zip_derived_cl664]) ).

thf('26',plain,
    ( ~ ! [X63: $i] :
          ( ( c1_1 @ X63 )
          | ( c3_1 @ X63 )
          | ~ ( c0_1 @ X63 ) )
    | ( c3_1 @ a603 )
    | ( c1_1 @ a603 )
    | ~ ( c0_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl1753]) ).

thf(zip_derived_cl29,plain,
    ! [X27: $i] :
      ( ( c1_1 @ X27 )
      | ~ ( c0_1 @ X27 )
      | ~ ( c3_1 @ X27 )
      | ~ ndr1_0
      | hskp14
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl304,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c3_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c3_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl664_005,plain,
    ( ~ ( c1_1 @ a603 )
   <= ~ ( c1_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl1016,plain,
    ( ( ~ ( c3_1 @ a603 )
      | ~ ( c0_1 @ a603 ) )
   <= ( ~ ( c1_1 @ a603 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c3_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl664]) ).

thf('27',plain,
    ( ~ ( c3_1 @ a603 )
    | ( c1_1 @ a603 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c3_1 @ X27 ) )
    | ~ ( c0_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl1016]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp8
    | ( c0_1 @ a603 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( ( c0_1 @ a603 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf('29',plain,
    ( ~ ( c1_1 @ a603 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf('30',plain,
    ( hskp14
    | hskp8
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl50,plain,
    ! [X64: $i,X65: $i] :
      ( ( c0_1 @ X64 )
      | ( c3_1 @ X64 )
      | ~ ( c1_1 @ X64 )
      | ~ ndr1_0
      | ( c2_1 @ X65 )
      | ~ ( c1_1 @ X65 )
      | ~ ( c3_1 @ X65 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('31',plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c3_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
    | hskp28
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp24
    | ( c1_1 @ a651 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl534,plain,
    ( ( c1_1 @ a651 )
   <= ( c1_1 @ a651 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl356_006,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1565,plain,
    ( ( ( c0_1 @ a651 )
      | ~ ( c3_1 @ a651 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c1_1 @ a651 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl356]) ).

thf('32',plain,
    ( ( c0_1 @ a651 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c3_1 @ a651 )
    | ~ ( c1_1 @ a651 ) ),
    inference(split,[status(esa)],[zip_derived_cl1565]) ).

thf(zip_derived_cl26,plain,
    ! [X22: $i,X23: $i] :
      ( ( c2_1 @ X22 )
      | ( c3_1 @ X22 )
      | ~ ( c0_1 @ X22 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X23 )
      | ~ ( c2_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ~ ndr1_0
      | hskp30 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('33',plain,
    ( hskp30
    | ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) )
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl25,plain,
    ! [X21: $i] :
      ( ( c2_1 @ X21 )
      | ( c3_1 @ X21 )
      | ~ ( c0_1 @ X21 )
      | ~ ndr1_0
      | hskp19
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl288,plain,
    ( ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp13
    | ~ ( c3_1 @ a614 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl626,plain,
    ( ~ ( c3_1 @ a614 )
   <= ~ ( c3_1 @ a614 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl882,plain,
    ( ( ~ ( c0_1 @ a614 )
      | ( c2_1 @ a614 ) )
   <= ( ~ ( c3_1 @ a614 )
      & ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl626]) ).

thf('34',plain,
    ( ~ ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) )
    | ~ ( c0_1 @ a614 )
    | ( c2_1 @ a614 )
    | ( c3_1 @ a614 ) ),
    inference(split,[status(esa)],[zip_derived_cl882]) ).

thf(zip_derived_cl54,plain,
    ! [X72: $i,X73: $i,X74: $i] :
      ( ( c0_1 @ X72 )
      | ( c2_1 @ X72 )
      | ~ ( c1_1 @ X72 )
      | ~ ndr1_0
      | ( c1_1 @ X73 )
      | ( c3_1 @ X73 )
      | ~ ( c2_1 @ X73 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X74 )
      | ~ ( c2_1 @ X74 )
      | ~ ( c3_1 @ X74 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('35',plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) )
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0
    | ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp16
    | ( c1_1 @ a620 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl598,plain,
    ( ( c1_1 @ a620 )
   <= ( c1_1 @ a620 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl397_007,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl1836,plain,
    ( ( ( c0_1 @ a620 )
      | ( c2_1 @ a620 ) )
   <= ( ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c1_1 @ X68 ) )
      & ( c1_1 @ a620 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl397]) ).

thf('36',plain,
    ( ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c1_1 @ X68 ) )
    | ( c0_1 @ a620 )
    | ( c2_1 @ a620 )
    | ~ ( c1_1 @ a620 ) ),
    inference(split,[status(esa)],[zip_derived_cl1836]) ).

thf('37',plain,
    ( ~ hskp16
    | ( c1_1 @ a620 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp16
    | ~ ( c0_1 @ a620 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( ~ hskp16
    | ~ ( c0_1 @ a620 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp16
    | ~ ( c2_1 @ a620 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('39',plain,
    ( ~ hskp16
    | ~ ( c2_1 @ a620 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl39,plain,
    ! [X44: $i] :
      ( ( c0_1 @ X44 )
      | ~ ( c2_1 @ X44 )
      | ~ ( c3_1 @ X44 )
      | ~ ndr1_0
      | hskp15
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
    | hskp16
    | ~ ndr1_0
    | hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp1
    | ~ ( c3_1 @ a594 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl722,plain,
    ( ~ ( c3_1 @ a594 )
   <= ~ ( c3_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl242,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl850,plain,
    ( ( ~ ( c0_1 @ a594 )
      | ~ ( c2_1 @ a594 ) )
   <= ( ~ ( c3_1 @ a594 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl722,zip_derived_cl242]) ).

thf('41',plain,
    ( ~ ( c2_1 @ a594 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ( c3_1 @ a594 )
    | ~ ( c0_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl850]) ).

thf(zip_derived_cl288_008,plain,
    ( ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl722_009,plain,
    ( ~ ( c3_1 @ a594 )
   <= ~ ( c3_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl877,plain,
    ( ( ~ ( c0_1 @ a594 )
      | ( c2_1 @ a594 ) )
   <= ( ~ ( c3_1 @ a594 )
      & ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl722]) ).

thf('42',plain,
    ( ~ ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) )
    | ( c2_1 @ a594 )
    | ( c3_1 @ a594 )
    | ~ ( c0_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl877]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp15
    | ~ ( c3_1 @ a619 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl610,plain,
    ( ~ ( c3_1 @ a619 )
   <= ~ ( c3_1 @ a619 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl242_010,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl808,plain,
    ( ( ~ ( c0_1 @ a619 )
      | ~ ( c2_1 @ a619 ) )
   <= ( ~ ( c3_1 @ a619 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl610,zip_derived_cl242]) ).

thf('43',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c2_1 @ a619 )
    | ( c3_1 @ a619 )
    | ~ ( c0_1 @ a619 ) ),
    inference(split,[status(esa)],[zip_derived_cl808]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp15
    | ( c0_1 @ a619 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('44',plain,
    ( ( c0_1 @ a619 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf('45',plain,
    ( ~ ( c3_1 @ a619 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl288_011,plain,
    ( ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl610_012,plain,
    ( ~ ( c3_1 @ a619 )
   <= ~ ( c3_1 @ a619 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl883,plain,
    ( ( ~ ( c0_1 @ a619 )
      | ( c2_1 @ a619 ) )
   <= ( ~ ( c3_1 @ a619 )
      & ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl610]) ).

thf('46',plain,
    ( ( c2_1 @ a619 )
    | ~ ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) )
    | ( c3_1 @ a619 )
    | ~ ( c0_1 @ a619 ) ),
    inference(split,[status(esa)],[zip_derived_cl883]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp14
    | ( c0_1 @ a615 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ( c0_1 @ a615 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl304_013,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c3_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c3_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp14
    | ~ ( c1_1 @ a615 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl618,plain,
    ( ~ ( c1_1 @ a615 )
   <= ~ ( c1_1 @ a615 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl1018,plain,
    ( ( ~ ( c3_1 @ a615 )
      | ~ ( c0_1 @ a615 ) )
   <= ( ~ ( c1_1 @ a615 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c3_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl618]) ).

thf('48',plain,
    ( ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c3_1 @ X27 ) )
    | ~ ( c3_1 @ a615 )
    | ( c1_1 @ a615 )
    | ~ ( c0_1 @ a615 ) ),
    inference(split,[status(esa)],[zip_derived_cl1018]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp14
    | ( c2_1 @ a615 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( ( c2_1 @ a615 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf('50',plain,
    ( ~ ( c1_1 @ a615 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl300_014,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl618_015,plain,
    ( ~ ( c1_1 @ a615 )
   <= ~ ( c1_1 @ a615 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl949,plain,
    ( ( ~ ( c3_1 @ a615 )
      | ~ ( c2_1 @ a615 ) )
   <= ( ~ ( c1_1 @ a615 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl300,zip_derived_cl618]) ).

thf(zip_derived_cl1046,plain,
    ( ~ ( c3_1 @ a615 )
   <= ~ ( c3_1 @ a615 ) ),
    inference(split,[status(esa)],[zip_derived_cl949]) ).

thf(zip_derived_cl242_016,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1048,plain,
    ( ( ~ ( c0_1 @ a615 )
      | ~ ( c2_1 @ a615 ) )
   <= ( ~ ( c3_1 @ a615 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1046,zip_derived_cl242]) ).

thf('51',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ( c3_1 @ a615 )
    | ~ ( c2_1 @ a615 )
    | ~ ( c0_1 @ a615 ) ),
    inference(split,[status(esa)],[zip_derived_cl1048]) ).

thf(zip_derived_cl638,plain,
    ( ( c1_1 @ a608 )
   <= ( c1_1 @ a608 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl389,plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c3_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
   <= ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c3_1 @ X64 )
        | ~ ( c1_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1800,plain,
    ( ( ( c0_1 @ a608 )
      | ( c3_1 @ a608 ) )
   <= ( ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c3_1 @ X64 )
          | ~ ( c1_1 @ X64 ) )
      & ( c1_1 @ a608 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl638,zip_derived_cl389]) ).

thf('52',plain,
    ( ( c0_1 @ a608 )
    | ( c3_1 @ a608 )
    | ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c3_1 @ X64 )
          | ~ ( c1_1 @ X64 ) )
    | ~ ( c1_1 @ a608 ) ),
    inference(split,[status(esa)],[zip_derived_cl1800]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp7
    | ( c3_1 @ a602 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl672,plain,
    ( ( c3_1 @ a602 )
   <= ( c3_1 @ a602 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl344,plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
   <= ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl1522,plain,
    ( ( ( c0_1 @ a602 )
      | ~ ( c2_1 @ a602 ) )
   <= ( ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
      & ( c3_1 @ a602 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl344]) ).

thf('53',plain,
    ( ( c0_1 @ a602 )
    | ~ ( c3_1 @ a602 )
    | ~ ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
    | ~ ( c2_1 @ a602 ) ),
    inference(split,[status(esa)],[zip_derived_cl1522]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp7
    | ( c2_1 @ a602 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( ( c2_1 @ a602 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf('55',plain,
    ( ( c3_1 @ a602 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp7
    | ~ ( c0_1 @ a602 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( ~ ( c0_1 @ a602 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl46,plain,
    ! [X58: $i] :
      ( ( c0_1 @ X58 )
      | ( c3_1 @ X58 )
      | ~ ( c2_1 @ X58 )
      | ~ ndr1_0
      | hskp28
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( hskp7
    | ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
    | ~ ndr1_0
    | hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl63,plain,
    ! [X94: $i] :
      ( ( c0_1 @ X94 )
      | ( c1_1 @ X94 )
      | ~ ( c2_1 @ X94 )
      | ~ ndr1_0
      | hskp3
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl440,plain,
    ( ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ~ ( c2_1 @ X94 ) )
   <= ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ~ ( c2_1 @ X94 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp2
    | ~ ( c1_1 @ a596 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl714,plain,
    ( ~ ( c1_1 @ a596 )
   <= ~ ( c1_1 @ a596 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl2009,plain,
    ( ( ~ ( c2_1 @ a596 )
      | ( c0_1 @ a596 ) )
   <= ( ~ ( c1_1 @ a596 )
      & ! [X94: $i] :
          ( ( c0_1 @ X94 )
          | ( c1_1 @ X94 )
          | ~ ( c2_1 @ X94 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl714]) ).

thf('58',plain,
    ( ~ ( c2_1 @ a596 )
    | ( c0_1 @ a596 )
    | ~ ! [X94: $i] :
          ( ( c0_1 @ X94 )
          | ( c1_1 @ X94 )
          | ~ ( c2_1 @ X94 ) )
    | ( c1_1 @ a596 ) ),
    inference(split,[status(esa)],[zip_derived_cl2009]) ).

thf(zip_derived_cl300_017,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl714_018,plain,
    ( ~ ( c1_1 @ a596 )
   <= ~ ( c1_1 @ a596 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl943,plain,
    ( ( ~ ( c3_1 @ a596 )
      | ~ ( c2_1 @ a596 ) )
   <= ( ~ ( c1_1 @ a596 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl300,zip_derived_cl714]) ).

thf('59',plain,
    ( ( c1_1 @ a596 )
    | ~ ( c2_1 @ a596 )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
    | ~ ( c3_1 @ a596 ) ),
    inference(split,[status(esa)],[zip_derived_cl943]) ).

thf(zip_derived_cl372,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl974,plain,
    ( ~ ( c3_1 @ a596 )
   <= ~ ( c3_1 @ a596 ) ),
    inference(split,[status(esa)],[zip_derived_cl943]) ).

thf(zip_derived_cl1635,plain,
    ( ( ~ ( c2_1 @ a596 )
      | ( c0_1 @ a596 ) )
   <= ( ~ ( c3_1 @ a596 )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c2_1 @ X58 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl974]) ).

thf('60',plain,
    ( ( c3_1 @ a596 )
    | ( c0_1 @ a596 )
    | ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c2_1 @ X58 ) )
    | ~ ( c2_1 @ a596 ) ),
    inference(split,[status(esa)],[zip_derived_cl1635]) ).

thf(zip_derived_cl188,plain,
    ( ~ hskp2
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('61',plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl188]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp2
    | ( c2_1 @ a596 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( ~ hskp2
    | ( c2_1 @ a596 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp2
    | ~ ( c0_1 @ a596 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( ~ hskp2
    | ~ ( c0_1 @ a596 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf('64',plain,
    ( ~ hskp2
    | ~ ( c1_1 @ a596 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl4,plain,
    ( hskp10
    | hskp28
    | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('65',plain,
    ( hskp10
    | hskp2
    | hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp9
    | ( c1_1 @ a604 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl654,plain,
    ( ( c1_1 @ a604 )
   <= ( c1_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp5
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl226,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1381,plain,
    ( ( ~ ( c2_1 @ a604 )
      | ~ ( c3_1 @ a604 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a604 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl226]) ).

thf('66',plain,
    ( ~ ( c1_1 @ a604 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a604 )
    | ~ ( c3_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl1381]) ).

thf(zip_derived_cl3,plain,
    ( hskp10
    | hskp9
    | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('67',plain,
    ( hskp10
    | hskp12
    | hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl372_019,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp12
    | ~ ( c3_1 @ a609 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl634,plain,
    ( ~ ( c3_1 @ a609 )
   <= ~ ( c3_1 @ a609 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl1643,plain,
    ( ( ~ ( c2_1 @ a609 )
      | ( c0_1 @ a609 ) )
   <= ( ~ ( c3_1 @ a609 )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c2_1 @ X58 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl634]) ).

thf('68',plain,
    ( ( c0_1 @ a609 )
    | ( c3_1 @ a609 )
    | ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c2_1 @ X58 ) )
    | ~ ( c2_1 @ a609 ) ),
    inference(split,[status(esa)],[zip_derived_cl1643]) ).

thf(zip_derived_cl2500,plain,
    ( ~ ( c3_1 @ a604 )
   <= ~ ( c3_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl1381]) ).

thf(zip_derived_cl372_020,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl2504,plain,
    ( ( ( c0_1 @ a604 )
      | ~ ( c2_1 @ a604 ) )
   <= ( ~ ( c3_1 @ a604 )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c2_1 @ X58 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2500,zip_derived_cl372]) ).

thf('69',plain,
    ( ( c3_1 @ a604 )
    | ~ ( c2_1 @ a604 )
    | ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c2_1 @ X58 ) )
    | ( c0_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl2504]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp30
    | ( c1_1 @ a637 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('70',plain,
    ( ~ hskp30
    | ( c1_1 @ a637 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl488,plain,
    ( ( c1_1 @ a637 )
   <= ( c1_1 @ a637 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl226_021,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1110,plain,
    ( ( ~ ( c2_1 @ a637 )
      | ~ ( c3_1 @ a637 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a637 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl226]) ).

thf('71',plain,
    ( ~ ( c1_1 @ a637 )
    | ~ ( c3_1 @ a637 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a637 ) ),
    inference(split,[status(esa)],[zip_derived_cl1110]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp30
    | ( c0_1 @ a637 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('72',plain,
    ( ( c0_1 @ a637 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp30
    | ( c2_1 @ a637 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('73',plain,
    ( ( c2_1 @ a637 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl1693,plain,
    ( ~ ( c3_1 @ a637 )
   <= ~ ( c3_1 @ a637 ) ),
    inference(split,[status(esa)],[zip_derived_cl1110]) ).

thf(zip_derived_cl242_022,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1695,plain,
    ( ( ~ ( c0_1 @ a637 )
      | ~ ( c2_1 @ a637 ) )
   <= ( ~ ( c3_1 @ a637 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1693,zip_derived_cl242]) ).

thf('74',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c0_1 @ a637 )
    | ( c3_1 @ a637 )
    | ~ ( c2_1 @ a637 ) ),
    inference(split,[status(esa)],[zip_derived_cl1695]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp10
    | ( c0_1 @ a605 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('75',plain,
    ( ( c0_1 @ a605 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp10
    | ( c2_1 @ a605 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('76',plain,
    ( ( c2_1 @ a605 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp10
    | ~ ( c3_1 @ a605 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ~ ( c3_1 @ a605 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl650,plain,
    ( ~ ( c3_1 @ a605 )
   <= ~ ( c3_1 @ a605 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl242_023,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl820,plain,
    ( ( ~ ( c0_1 @ a605 )
      | ~ ( c2_1 @ a605 ) )
   <= ( ~ ( c3_1 @ a605 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl650,zip_derived_cl242]) ).

thf('78',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c2_1 @ a605 )
    | ( c3_1 @ a605 )
    | ~ ( c0_1 @ a605 ) ),
    inference(split,[status(esa)],[zip_derived_cl820]) ).

thf(zip_derived_cl51,plain,
    ! [X66: $i,X67: $i] :
      ( ( c0_1 @ X66 )
      | ( c3_1 @ X66 )
      | ~ ( c1_1 @ X66 )
      | ~ ndr1_0
      | ( c1_1 @ X67 )
      | ~ ( c0_1 @ X67 )
      | ~ ( c3_1 @ X67 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c3_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
    | hskp1
    | ~ ndr1_0
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c3_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl17,plain,
    ! [X9: $i,X10: $i] :
      ( ( c3_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ( c1_1 @ X9 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X10 )
      | ~ ( c2_1 @ X10 )
      | ~ ( c3_1 @ X10 )
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( hskp24
    | ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp18
    | ( c3_1 @ a625 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( ( c3_1 @ a625 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp18
    | ~ ( c0_1 @ a625 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('82',plain,
    ( ~ ( c0_1 @ a625 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a625 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('83',plain,
    ( ~ ( c1_1 @ a625 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl35,plain,
    ! [X38: $i,X39: $i] :
      ( ( c1_1 @ X38 )
      | ( c3_1 @ X38 )
      | ~ ( c2_1 @ X38 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X39 )
      | ~ ( c1_1 @ X39 )
      | ~ ( c3_1 @ X39 )
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( hskp18
    | ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) )
    | ! [X39: $i] :
        ( ~ ( c0_1 @ X39 )
        | ~ ( c1_1 @ X39 )
        | ~ ( c3_1 @ X39 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl34,plain,
    ! [X37: $i] :
      ( ( c1_1 @ X37 )
      | ( c3_1 @ X37 )
      | ~ ( c2_1 @ X37 )
      | ~ ndr1_0
      | hskp19
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl324,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp12
    | ~ ( c1_1 @ a609 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl632,plain,
    ( ~ ( c1_1 @ a609 )
   <= ~ ( c1_1 @ a609 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl1257,plain,
    ( ( ~ ( c2_1 @ a609 )
      | ( c3_1 @ a609 ) )
   <= ( ~ ( c1_1 @ a609 )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c2_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl632]) ).

thf('85',plain,
    ( ( c1_1 @ a609 )
    | ( c3_1 @ a609 )
    | ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c2_1 @ X37 ) )
    | ~ ( c2_1 @ a609 ) ),
    inference(split,[status(esa)],[zip_derived_cl1257]) ).

thf(zip_derived_cl534_024,plain,
    ( ( c1_1 @ a651 )
   <= ( c1_1 @ a651 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl328,plain,
    ( ! [X39: $i] :
        ( ~ ( c0_1 @ X39 )
        | ~ ( c1_1 @ X39 )
        | ~ ( c3_1 @ X39 ) )
   <= ! [X39: $i] :
        ( ~ ( c0_1 @ X39 )
        | ~ ( c1_1 @ X39 )
        | ~ ( c3_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1169,plain,
    ( ( ~ ( c0_1 @ a651 )
      | ~ ( c3_1 @ a651 ) )
   <= ( ! [X39: $i] :
          ( ~ ( c0_1 @ X39 )
          | ~ ( c1_1 @ X39 )
          | ~ ( c3_1 @ X39 ) )
      & ( c1_1 @ a651 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl328]) ).

thf('86',plain,
    ( ~ ! [X39: $i] :
          ( ~ ( c0_1 @ X39 )
          | ~ ( c1_1 @ X39 )
          | ~ ( c3_1 @ X39 ) )
    | ~ ( c0_1 @ a651 )
    | ~ ( c3_1 @ a651 )
    | ~ ( c1_1 @ a651 ) ),
    inference(split,[status(esa)],[zip_derived_cl1169]) ).

thf(zip_derived_cl48,plain,
    ! [X60: $i,X61: $i] :
      ( ( c0_1 @ X60 )
      | ( c3_1 @ X60 )
      | ~ ( c2_1 @ X60 )
      | ~ ndr1_0
      | ( c2_1 @ X61 )
      | ~ ( c1_1 @ X61 )
      | ~ ( c3_1 @ X61 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('87',plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
    | hskp12
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl534_025,plain,
    ( ( c1_1 @ a651 )
   <= ( c1_1 @ a651 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl18,plain,
    ! [X11: $i] :
      ( ( c2_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ( c3_1 @ X11 )
      | ~ ndr1_0
      | hskp10
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl260,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1166,plain,
    ( ( ( c2_1 @ a651 )
      | ~ ( c3_1 @ a651 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c1_1 @ a651 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl260]) ).

thf('88',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c1_1 @ a651 )
    | ( c2_1 @ a651 )
    | ~ ( c3_1 @ a651 ) ),
    inference(split,[status(esa)],[zip_derived_cl1166]) ).

thf(zip_derived_cl424_026,plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
   <= ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl586,plain,
    ( ~ ( c1_1 @ a625 )
   <= ~ ( c1_1 @ a625 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1907,plain,
    ( ( ~ ( c3_1 @ a625 )
      | ( c0_1 @ a625 ) )
   <= ( ~ ( c1_1 @ a625 )
      & ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl586]) ).

thf('89',plain,
    ( ~ ( c3_1 @ a625 )
    | ( c0_1 @ a625 )
    | ~ ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
    | ( c1_1 @ a625 ) ),
    inference(split,[status(esa)],[zip_derived_cl1907]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp5
    | ( c3_1 @ a599 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl688,plain,
    ( ( c3_1 @ a599 )
   <= ( c3_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl10,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp28
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl230,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1449,plain,
    ( ( ~ ( c0_1 @ a599 )
      | ~ ( c2_1 @ a599 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a599 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl688,zip_derived_cl230]) ).

thf('90',plain,
    ( ~ ( c2_1 @ a599 )
    | ~ ( c0_1 @ a599 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl1449]) ).

thf(zip_derived_cl304_027,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c3_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c3_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp5
    | ~ ( c1_1 @ a599 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl690,plain,
    ( ~ ( c1_1 @ a599 )
   <= ~ ( c1_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl1014,plain,
    ( ( ~ ( c3_1 @ a599 )
      | ~ ( c0_1 @ a599 ) )
   <= ( ~ ( c1_1 @ a599 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c3_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl690]) ).

thf('91',plain,
    ( ( c1_1 @ a599 )
    | ~ ( c0_1 @ a599 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c3_1 @ X27 ) )
    | ~ ( c3_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl1014]) ).

thf(zip_derived_cl454_028,plain,
    ( ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ( c3_1 @ X98 ) )
   <= ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ( c3_1 @ X98 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl632_029,plain,
    ( ~ ( c1_1 @ a609 )
   <= ~ ( c1_1 @ a609 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl2081,plain,
    ( ( ( c3_1 @ a609 )
      | ( c0_1 @ a609 ) )
   <= ( ~ ( c1_1 @ a609 )
      & ! [X98: $i] :
          ( ( c0_1 @ X98 )
          | ( c1_1 @ X98 )
          | ( c3_1 @ X98 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl632]) ).

thf('92',plain,
    ( ( c0_1 @ a609 )
    | ~ ! [X98: $i] :
          ( ( c0_1 @ X98 )
          | ( c1_1 @ X98 )
          | ( c3_1 @ X98 ) )
    | ( c3_1 @ a609 )
    | ( c1_1 @ a609 ) ),
    inference(split,[status(esa)],[zip_derived_cl2081]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp31
    | ( c0_1 @ a672 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('93',plain,
    ( ( c0_1 @ a672 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl74,plain,
    ( ~ hskp31
    | ( c2_1 @ a672 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ~ hskp31
    | ( c2_1 @ a672 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp31
    | ( c3_1 @ a672 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('95',plain,
    ( ~ hskp31
    | ( c3_1 @ a672 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl482,plain,
    ( ( c3_1 @ a672 )
   <= ( c3_1 @ a672 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl230_030,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1098,plain,
    ( ( ~ ( c0_1 @ a672 )
      | ~ ( c2_1 @ a672 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a672 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl230]) ).

thf('96',plain,
    ( ~ ( c3_1 @ a672 )
    | ~ ( c2_1 @ a672 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a672 ) ),
    inference(split,[status(esa)],[zip_derived_cl1098]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp12
    | ( c2_1 @ a609 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('97',plain,
    ( ( c2_1 @ a609 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl634_031,plain,
    ( ~ ( c3_1 @ a609 )
   <= ~ ( c3_1 @ a609 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl242_032,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl816,plain,
    ( ( ~ ( c0_1 @ a609 )
      | ~ ( c2_1 @ a609 ) )
   <= ( ~ ( c3_1 @ a609 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl634,zip_derived_cl242]) ).

thf('98',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c0_1 @ a609 )
    | ( c3_1 @ a609 )
    | ~ ( c2_1 @ a609 ) ),
    inference(split,[status(esa)],[zip_derived_cl816]) ).

thf('99',plain,
    ( ~ ( c1_1 @ a609 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf('100',plain,
    ( ~ ( c3_1 @ a609 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl6,plain,
    ( hskp1
    | hskp31
    | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( hskp1
    | hskp24
    | hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf('102',plain,
    ( hskp13
    | hskp12
    | ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp1
    | ( c0_1 @ a594 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('103',plain,
    ( ( c0_1 @ a594 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp1
    | ( c1_1 @ a594 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( ( c1_1 @ a594 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf('105',plain,
    ( ~ ( c3_1 @ a594 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl720,plain,
    ( ( c1_1 @ a594 )
   <= ( c1_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl16,plain,
    ! [X7: $i,X8: $i] :
      ( ( c3_1 @ X7 )
      | ~ ( c0_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X8 )
      | ~ ( c2_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl253,plain,
    ( ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1511,plain,
    ( ( ( c3_1 @ a594 )
      | ~ ( c0_1 @ a594 ) )
   <= ( ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
      & ( c1_1 @ a594 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl253]) ).

thf('106',plain,
    ( ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
    | ~ ( c1_1 @ a594 )
    | ( c3_1 @ a594 )
    | ~ ( c0_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl1511]) ).

thf(zip_derived_cl413_033,plain,
    ( ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ( c3_1 @ X77 ) )
   <= ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ( c3_1 @ X77 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl626_034,plain,
    ( ~ ( c3_1 @ a614 )
   <= ~ ( c3_1 @ a614 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1954,plain,
    ( ( ( c2_1 @ a614 )
      | ( c0_1 @ a614 ) )
   <= ( ~ ( c3_1 @ a614 )
      & ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c2_1 @ X77 )
          | ( c3_1 @ X77 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl626]) ).

thf('107',plain,
    ( ( c0_1 @ a614 )
    | ~ ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c2_1 @ X77 )
          | ( c3_1 @ X77 ) )
    | ( c2_1 @ a614 )
    | ( c3_1 @ a614 ) ),
    inference(split,[status(esa)],[zip_derived_cl1954]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp13
    | ( c1_1 @ a614 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( ( c1_1 @ a614 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp13
    | ~ ( c2_1 @ a614 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('109',plain,
    ( ~ ( c2_1 @ a614 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf('110',plain,
    ( ~ ( c3_1 @ a614 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl622,plain,
    ( ( c1_1 @ a614 )
   <= ( c1_1 @ a614 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl253_035,plain,
    ( ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1323,plain,
    ( ( ( c3_1 @ a614 )
      | ~ ( c0_1 @ a614 ) )
   <= ( ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
      & ( c1_1 @ a614 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl622,zip_derived_cl253]) ).

thf('111',plain,
    ( ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
    | ~ ( c1_1 @ a614 )
    | ( c3_1 @ a614 )
    | ~ ( c0_1 @ a614 ) ),
    inference(split,[status(esa)],[zip_derived_cl1323]) ).

thf(zip_derived_cl61,plain,
    ! [X88: $i,X89: $i,X90: $i] :
      ( ( c0_1 @ X88 )
      | ( c1_1 @ X88 )
      | ~ ( c3_1 @ X88 )
      | ~ ndr1_0
      | ( c0_1 @ X89 )
      | ( c3_1 @ X89 )
      | ~ ( c1_1 @ X89 )
      | ~ ndr1_0
      | ( c3_1 @ X90 )
      | ~ ( c0_1 @ X90 )
      | ~ ( c1_1 @ X90 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('112',plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c3_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
    | ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
    | ~ ndr1_0
    | ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl654_036,plain,
    ( ( c1_1 @ a604 )
   <= ( c1_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl389_037,plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c3_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
   <= ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c3_1 @ X64 )
        | ~ ( c1_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1799,plain,
    ( ( ( c0_1 @ a604 )
      | ( c3_1 @ a604 ) )
   <= ( ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c3_1 @ X64 )
          | ~ ( c1_1 @ X64 ) )
      & ( c1_1 @ a604 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl389]) ).

thf('113',plain,
    ( ( c3_1 @ a604 )
    | ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c3_1 @ X64 )
          | ~ ( c1_1 @ X64 ) )
    | ( c0_1 @ a604 )
    | ~ ( c1_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl1799]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp9
    | ( c2_1 @ a604 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('114',plain,
    ( ( c2_1 @ a604 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp9
    | ~ ( c0_1 @ a604 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('115',plain,
    ( ~ ( c0_1 @ a604 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1,plain,
    ( hskp9
    | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( hskp24
    | hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp24
    | ( c3_1 @ a651 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl536,plain,
    ( ( c3_1 @ a651 )
   <= ( c3_1 @ a651 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl268_038,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1171,plain,
    ( ( ( c2_1 @ a651 )
      | ~ ( c0_1 @ a651 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ( c3_1 @ a651 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl536,zip_derived_cl268]) ).

thf('117',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
    | ~ ( c0_1 @ a651 )
    | ( c2_1 @ a651 )
    | ~ ( c3_1 @ a651 ) ),
    inference(split,[status(esa)],[zip_derived_cl1171]) ).

thf('118',plain,
    ( ( c1_1 @ a651 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf('119',plain,
    ( ( c3_1 @ a651 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp24
    | ~ ( c2_1 @ a651 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('120',plain,
    ( ~ ( c2_1 @ a651 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl534_039,plain,
    ( ( c1_1 @ a651 )
   <= ( c1_1 @ a651 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl397_040,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl1838,plain,
    ( ( ( c0_1 @ a651 )
      | ( c2_1 @ a651 ) )
   <= ( ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c1_1 @ X68 ) )
      & ( c1_1 @ a651 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl397]) ).

thf('121',plain,
    ( ( c0_1 @ a651 )
    | ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c1_1 @ X68 ) )
    | ~ ( c1_1 @ a651 )
    | ( c2_1 @ a651 ) ),
    inference(split,[status(esa)],[zip_derived_cl1838]) ).

thf(zip_derived_cl62,plain,
    ! [X91: $i,X92: $i,X93: $i] :
      ( ( c0_1 @ X91 )
      | ( c1_1 @ X91 )
      | ~ ( c3_1 @ X91 )
      | ~ ndr1_0
      | ( c0_1 @ X92 )
      | ( c2_1 @ X92 )
      | ( c3_1 @ X92 )
      | ~ ndr1_0
      | ( c0_1 @ X93 )
      | ~ ( c2_1 @ X93 )
      | ~ ( c3_1 @ X93 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
    | ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
    | ~ ndr1_0
    | ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ( c3_1 @ X77 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl60,plain,
    ! [X85: $i,X86: $i,X87: $i] :
      ( ( c0_1 @ X85 )
      | ( c1_1 @ X85 )
      | ~ ( c3_1 @ X85 )
      | ~ ndr1_0
      | ( c0_1 @ X86 )
      | ~ ( c2_1 @ X86 )
      | ~ ( c3_1 @ X86 )
      | ~ ndr1_0
      | ( c2_1 @ X87 )
      | ~ ( c0_1 @ X87 )
      | ~ ( c3_1 @ X87 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
    | ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl688_041,plain,
    ( ( c3_1 @ a599 )
   <= ( c3_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl344_042,plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
   <= ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl1520,plain,
    ( ( ( c0_1 @ a599 )
      | ~ ( c2_1 @ a599 ) )
   <= ( ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
      & ( c3_1 @ a599 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl688,zip_derived_cl344]) ).

thf('124',plain,
    ( ( c0_1 @ a599 )
    | ~ ( c2_1 @ a599 )
    | ~ ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
    | ~ ( c3_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl1520]) ).

thf(zip_derived_cl424_043,plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
   <= ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl690_044,plain,
    ( ~ ( c1_1 @ a599 )
   <= ~ ( c1_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl1901,plain,
    ( ( ~ ( c3_1 @ a599 )
      | ( c0_1 @ a599 ) )
   <= ( ~ ( c1_1 @ a599 )
      & ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl690]) ).

thf('125',plain,
    ( ( c0_1 @ a599 )
    | ( c1_1 @ a599 )
    | ~ ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
    | ~ ( c3_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl1901]) ).

thf('126',plain,
    ( ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ( c3_1 @ X98 ) )
    | ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl300_045,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl690_046,plain,
    ( ~ ( c1_1 @ a599 )
   <= ~ ( c1_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl945,plain,
    ( ( ~ ( c3_1 @ a599 )
      | ~ ( c2_1 @ a599 ) )
   <= ( ~ ( c1_1 @ a599 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl300,zip_derived_cl690]) ).

thf('127',plain,
    ( ( c1_1 @ a599 )
    | ~ ( c2_1 @ a599 )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
    | ~ ( c3_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl945]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp5
    | ( c2_1 @ a599 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( ~ hskp5
    | ( c2_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf('129',plain,
    ( ( c3_1 @ a599 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf('130',plain,
    ( ~ hskp5
    | ~ ( c1_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl47,plain,
    ! [X59: $i] :
      ( ( c0_1 @ X59 )
      | ( c3_1 @ X59 )
      | ~ ( c2_1 @ X59 )
      | ~ ndr1_0
      | hskp10
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( hskp5
    | hskp10
    | ~ ndr1_0
    | ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf('132',plain,
    ( hskp10
    | ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl654_047,plain,
    ( ( c1_1 @ a604 )
   <= ( c1_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl356_048,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1560,plain,
    ( ( ( c0_1 @ a604 )
      | ~ ( c3_1 @ a604 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c1_1 @ a604 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl356]) ).

thf('133',plain,
    ( ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c3_1 @ a604 )
    | ~ ( c1_1 @ a604 )
    | ( c0_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl1560]) ).

thf(zip_derived_cl67,plain,
    ! [X101: $i,X102: $i,X103: $i] :
      ( ( c0_1 @ X101 )
      | ( c1_1 @ X101 )
      | ( c2_1 @ X101 )
      | ~ ndr1_0
      | ( c3_1 @ X102 )
      | ~ ( c1_1 @ X102 )
      | ~ ( c2_1 @ X102 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X103 )
      | ~ ( c1_1 @ X103 )
      | ~ ( c2_1 @ X103 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl458,plain,
    ( ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ( c2_1 @ X101 ) )
   <= ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ( c2_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl696_049,plain,
    ( ~ ( c1_1 @ a598 )
   <= ~ ( c1_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl2120,plain,
    ( ( ( c2_1 @ a598 )
      | ( c0_1 @ a598 ) )
   <= ( ~ ( c1_1 @ a598 )
      & ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ( c2_1 @ X101 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl458,zip_derived_cl696]) ).

thf('134',plain,
    ( ~ ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ( c2_1 @ X101 ) )
    | ( c0_1 @ a598 )
    | ( c1_1 @ a598 )
    | ( c2_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl2120]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp4
    | ~ ( c0_1 @ a598 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('135',plain,
    ( ~ ( c0_1 @ a598 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf('136',plain,
    ( ~ ( c1_1 @ a598 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a598 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ~ ( c2_1 @ a598 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl71,plain,
    ! [X112: $i,X113: $i,X114: $i] :
      ( ( c0_1 @ X112 )
      | ( c1_1 @ X112 )
      | ( c2_1 @ X112 )
      | ~ ndr1_0
      | ( c0_1 @ X113 )
      | ( c1_1 @ X113 )
      | ( c3_1 @ X113 )
      | ~ ndr1_0
      | ( c0_1 @ X114 )
      | ( c2_1 @ X114 )
      | ( c3_1 @ X114 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ( c3_1 @ X98 ) )
    | ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ( c3_1 @ X77 ) )
    | ~ ndr1_0
    | ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ( c2_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl14,plain,
    ! [X5: $i] :
      ( ( c3_1 @ X5 )
      | ~ ( c0_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ndr1_0
      | hskp28
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('139',plain,
    ( hskp28
    | hskp4
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp28
    | ( c1_1 @ a595 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('140',plain,
    ( ( c1_1 @ a595 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp28
    | ( c2_1 @ a595 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('141',plain,
    ( ( c2_1 @ a595 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp28
    | ( c3_1 @ a595 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('142',plain,
    ( ( c3_1 @ a595 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl502,plain,
    ( ( c1_1 @ a595 )
   <= ( c1_1 @ a595 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl226_050,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1134,plain,
    ( ( ~ ( c2_1 @ a595 )
      | ~ ( c3_1 @ a595 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a595 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl502,zip_derived_cl226]) ).

thf('143',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a595 )
    | ~ ( c3_1 @ a595 )
    | ~ ( c1_1 @ a595 ) ),
    inference(split,[status(esa)],[zip_derived_cl1134]) ).

thf(zip_derived_cl45,plain,
    ! [X55: $i,X56: $i,X57: $i] :
      ( ( c0_1 @ X55 )
      | ~ ( c1_1 @ X55 )
      | ~ ( c2_1 @ X55 )
      | ~ ndr1_0
      | ( c0_1 @ X56 )
      | ~ ( c1_1 @ X56 )
      | ~ ( c3_1 @ X56 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X57 )
      | ~ ( c2_1 @ X57 )
      | ~ ( c3_1 @ X57 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('144',plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl502_051,plain,
    ( ( c1_1 @ a595 )
   <= ( c1_1 @ a595 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl365_052,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl1599,plain,
    ( ( ( c0_1 @ a595 )
      | ~ ( c2_1 @ a595 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
      & ( c1_1 @ a595 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl502,zip_derived_cl365]) ).

thf('145',plain,
    ( ( c0_1 @ a595 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
    | ~ ( c2_1 @ a595 )
    | ~ ( c1_1 @ a595 ) ),
    inference(split,[status(esa)],[zip_derived_cl1599]) ).

thf(zip_derived_cl506,plain,
    ( ( c3_1 @ a595 )
   <= ( c3_1 @ a595 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl230_053,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1144,plain,
    ( ( ~ ( c0_1 @ a595 )
      | ~ ( c2_1 @ a595 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a595 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl230]) ).

thf('146',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a595 )
    | ~ ( c2_1 @ a595 )
    | ~ ( c3_1 @ a595 ) ),
    inference(split,[status(esa)],[zip_derived_cl1144]) ).

thf(zip_derived_cl53,plain,
    ! [X70: $i,X71: $i] :
      ( ( c0_1 @ X70 )
      | ( c2_1 @ X70 )
      | ~ ( c1_1 @ X70 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X71 )
      | ~ ( c2_1 @ X71 )
      | ~ ( c3_1 @ X71 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('147',plain,
    ( hskp9
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0
    | ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf('148',plain,
    ( ( c1_1 @ a604 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl654_054,plain,
    ( ( c1_1 @ a604 )
   <= ( c1_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl365_055,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl1592,plain,
    ( ( ( c0_1 @ a604 )
      | ~ ( c2_1 @ a604 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
      & ( c1_1 @ a604 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl365]) ).

thf('149',plain,
    ( ~ ( c1_1 @ a604 )
    | ~ ( c2_1 @ a604 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
    | ( c0_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl1592]) ).

thf(zip_derived_cl8384,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN471+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7p1UvDclqA true
% 0.15/0.35  % Computer : n007.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sat Aug 26 17:32:56 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.09/1.80  % Solved by fo/fo1_av.sh.
% 8.09/1.80  % done 2123 iterations in 1.008s
% 8.09/1.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.09/1.80  % SZS output start Refutation
% See solution above
% 8.09/1.80  
% 8.09/1.80  
% 8.09/1.80  % Terminating...
% 8.52/1.86  % Runner terminated.
% 8.52/1.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------