TSTP Solution File: SYN507+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN507+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.Qf8QNTzseP true

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:04:17 EDT 2023

% Result   : Theorem 11.85s 2.35s
% Output   : Refutation 11.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   66
% Syntax   : Number of formulae    :  703 (   1 unt;  65 typ;   0 def)
%            Number of atoms       : 4408 (   0 equ;   0 cnn)
%            Maximal formula atoms :  740 (   6 avg)
%            Number of connectives : 9435 (2303   ~;2759   |; 499   &;3362   @)
%                                         (   0 <=>; 234  =>; 278  <=;   0 <~>)
%            Maximal formula depth :  114 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   66 (  65 usr;  62 con; 0-1 aty)
%            Number of variables   :  772 (   0   ^; 772   !;   0   ?; 772   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a587_type,type,
    a587: $i ).

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

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

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

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

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

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

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

thf(a584_type,type,
    a584: $i ).

thf(a590_type,type,
    a590: $i ).

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

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

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

thf(a585_type,type,
    a585: $i ).

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

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

thf(a588_type,type,
    a588: $i ).

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

thf(a633_type,type,
    a633: $i ).

thf(a678_type,type,
    a678: $i ).

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

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

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

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

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

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

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

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

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

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

thf(a629_type,type,
    a629: $i ).

thf(a583_type,type,
    a583: $i ).

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

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

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

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

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

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

thf(a592_type,type,
    a592: $i ).

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

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

thf(a586_type,type,
    a586: $i ).

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

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

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

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

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

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

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

thf(a589_type,type,
    a589: $i ).

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

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

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

thf(a648_type,type,
    a648: $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(c3_1_type,type,
    c3_1: $i > $o ).

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

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c1_1 @ a584 )
          & ~ ( c0_1 @ a584 )
          & ~ ( c2_1 @ a584 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c1_1 @ a585 )
          & ( c2_1 @ a585 )
          & ~ ( c0_1 @ a585 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c1_1 @ a586 )
          & ( c2_1 @ a586 )
          & ~ ( c3_1 @ a586 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c0_1 @ a587 )
          & ( c2_1 @ a587 )
          & ~ ( c1_1 @ a587 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c0_1 @ a588 )
          & ~ ( c1_1 @ a588 )
          & ~ ( c2_1 @ a588 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c0_1 @ a589 )
          & ( c1_1 @ a589 )
          & ~ ( c2_1 @ a589 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c2_1 @ a590 )
          & ( c3_1 @ a590 )
          & ~ ( c0_1 @ a590 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c2_1 @ a592 )
          & ~ ( c0_1 @ a592 )
          & ~ ( c3_1 @ a592 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c1_1 @ a593 )
          & ( c3_1 @ a593 )
          & ~ ( c2_1 @ a593 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ ( c0_1 @ a595 )
          & ~ ( c1_1 @ a595 )
          & ~ ( c3_1 @ a595 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c0_1 @ a598 )
          & ( c3_1 @ a598 )
          & ~ ( c1_1 @ a598 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c2_1 @ a599 )
          & ( c3_1 @ a599 )
          & ~ ( c1_1 @ a599 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c0_1 @ a600 )
          & ( c2_1 @ a600 )
          & ~ ( c3_1 @ a600 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ~ ( c0_1 @ a601 )
          & ~ ( c1_1 @ a601 )
          & ~ ( c2_1 @ a601 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c0_1 @ a603 )
          & ~ ( c1_1 @ a603 )
          & ~ ( c3_1 @ a603 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c1_1 @ a604 )
          & ( c3_1 @ a604 )
          & ~ ( c0_1 @ a604 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c1_1 @ a606 )
          & ~ ( c2_1 @ a606 )
          & ~ ( c3_1 @ a606 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c3_1 @ a607 )
          & ~ ( c1_1 @ a607 )
          & ~ ( c2_1 @ a607 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c3_1 @ a610 )
          & ~ ( c0_1 @ a610 )
          & ~ ( c2_1 @ a610 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c2_1 @ a617 )
          & ~ ( c0_1 @ a617 )
          & ~ ( c1_1 @ a617 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ ( c1_1 @ a623 )
          & ~ ( c2_1 @ a623 )
          & ~ ( c3_1 @ a623 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c0_1 @ a629 )
          & ~ ( c2_1 @ a629 )
          & ~ ( c3_1 @ a629 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c1_1 @ a633 )
          & ~ ( c0_1 @ a633 )
          & ~ ( c3_1 @ a633 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c3_1 @ a636 )
          & ~ ( c0_1 @ a636 )
          & ~ ( c1_1 @ a636 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c0_1 @ a648 )
          & ( c1_1 @ a648 )
          & ~ ( c3_1 @ a648 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c2_1 @ a651 )
          & ~ ( c1_1 @ a651 )
          & ~ ( c3_1 @ a651 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a583 )
          & ( c1_1 @ a583 )
          & ( c2_1 @ a583 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a611 )
          & ( c1_1 @ a611 )
          & ( c3_1 @ a611 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c1_1 @ a612 )
          & ( c2_1 @ a612 )
          & ( c3_1 @ a612 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a678 )
          & ( c2_1 @ a678 )
          & ( c3_1 @ a678 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | hskp26
        | hskp0 )
      & ( ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c1_1 @ V )
              | ( c3_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ( c2_1 @ W )
              | ~ ( c1_1 @ W ) ) )
        | ! [X: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X )
              | ( c3_1 @ X )
              | ~ ( c0_1 @ X ) ) ) )
      & ( ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c1_1 @ Y )
              | ( c3_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ~ ( c1_1 @ Z )
              | ~ ( c3_1 @ Z ) ) )
        | hskp1 )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c3_1 @ X1 ) ) )
        | ! [X2: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X2 )
              | ( c3_1 @ X2 )
              | ~ ( c2_1 @ X2 ) ) )
        | hskp2 )
      & ( ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c1_1 @ X3 )
              | ( c3_1 @ X3 ) ) )
        | hskp3
        | hskp4 )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c1_1 @ X4 )
              | ~ ( c2_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ~ ( c2_1 @ X5 )
              | ~ ( c3_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X6 )
              | ~ ( c1_1 @ X6 )
              | ~ ( c3_1 @ X6 ) ) ) )
      & ( ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c1_1 @ X7 )
              | ~ ( c2_1 @ X7 ) ) )
        | hskp5
        | hskp6 )
      & ( ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ( c1_1 @ X8 )
              | ~ ( c2_1 @ X8 ) ) )
        | hskp2
        | hskp7 )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ~ ( c3_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ~ ( c1_1 @ X10 )
              | ~ ( c2_1 @ X10 ) ) )
        | hskp8 )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c1_1 @ X11 )
              | ~ ( c3_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X12 )
              | ( c2_1 @ X12 )
              | ( c3_1 @ X12 ) ) )
        | hskp26 )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c1_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X14 )
              | ~ ( c1_1 @ X14 )
              | ~ ( c2_1 @ X14 ) ) )
        | hskp9 )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c3_1 @ X15 ) ) )
        | hskp8
        | hskp6 )
      & ( ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ( c2_1 @ X16 )
              | ( c3_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ~ ( c1_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X18 )
              | ( c2_1 @ X18 )
              | ~ ( c0_1 @ X18 ) ) ) )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c2_1 @ X19 )
              | ( c3_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ~ ( c2_1 @ X20 )
              | ~ ( c3_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X21 )
              | ~ ( c2_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) ) )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c2_1 @ X22 )
              | ( c3_1 @ X22 ) ) )
        | ! [X23: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X23 )
              | ( c2_1 @ X23 )
              | ~ ( c0_1 @ X23 ) ) )
        | hskp10 )
      & ( ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c2_1 @ X24 )
              | ( c3_1 @ X24 ) ) )
        | ! [X25: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X25 )
              | ~ ( c2_1 @ X25 )
              | ~ ( c3_1 @ X25 ) ) )
        | hskp11 )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c2_1 @ X26 )
              | ( c3_1 @ X26 ) ) )
        | hskp12
        | hskp13 )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c2_1 @ X27 )
              | ( c3_1 @ X27 ) ) )
        | hskp4
        | hskp14 )
      & ( ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c2_1 @ X28 )
              | ( c3_1 @ X28 ) ) )
        | hskp15
        | hskp13 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ~ ( c1_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X30 )
              | ( c3_1 @ X30 )
              | ~ ( c2_1 @ X30 ) ) )
        | hskp16 )
      & ( ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ( c2_1 @ X31 )
              | ~ ( c1_1 @ X31 ) ) )
        | ! [X32: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X32 )
              | ~ ( c0_1 @ X32 )
              | ~ ( c2_1 @ X32 ) ) )
        | hskp17 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c2_1 @ X33 )
              | ~ ( c1_1 @ X33 ) ) )
        | hskp10
        | hskp7 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c2_1 @ X34 )
              | ~ ( c3_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X35 )
              | ( c3_1 @ X35 )
              | ~ ( c0_1 @ X35 ) ) )
        | hskp18 )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c2_1 @ X36 )
              | ~ ( c3_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X37 )
              | ~ ( c0_1 @ X37 )
              | ~ ( c1_1 @ X37 ) ) )
        | hskp27 )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ( c2_1 @ X38 )
              | ~ ( c3_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X39 )
              | ~ ( c0_1 @ X39 )
              | ~ ( c2_1 @ X39 ) ) )
        | hskp28 )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ( c3_1 @ X40 )
              | ~ ( c1_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X41 )
              | ~ ( c2_1 @ X41 )
              | ~ ( c3_1 @ X41 ) ) )
        | ! [X42: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X42 )
              | ~ ( c0_1 @ X42 )
              | ~ ( c2_1 @ X42 ) ) ) )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ( c3_1 @ X43 )
              | ~ ( c2_1 @ X43 ) ) )
        | ! [X44: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X44 )
              | ( c2_1 @ X44 )
              | ~ ( c0_1 @ X44 ) ) )
        | hskp14 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ( c3_1 @ X45 )
              | ~ ( c2_1 @ X45 ) ) )
        | hskp8
        | hskp18 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ~ ( c1_1 @ X46 )
              | ~ ( c2_1 @ X46 ) ) )
        | ! [X47: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X47 )
              | ( c2_1 @ X47 )
              | ~ ( c3_1 @ X47 ) ) )
        | ! [X48: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X48 )
              | ~ ( c2_1 @ X48 )
              | ~ ( c3_1 @ X48 ) ) ) )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ~ ( c1_1 @ X49 )
              | ~ ( c2_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X50 )
              | ~ ( c1_1 @ X50 )
              | ~ ( c2_1 @ X50 ) ) )
        | hskp12 )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X51 )
              | ~ ( c1_1 @ X51 )
              | ~ ( c2_1 @ X51 ) ) )
        | hskp19
        | hskp13 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X52 )
              | ~ ( c1_1 @ X52 )
              | ~ ( c3_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X53 )
              | ~ ( c0_1 @ X53 )
              | ~ ( c3_1 @ X53 ) ) )
        | hskp8 )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X54 )
              | ~ ( c1_1 @ X54 )
              | ~ ( c3_1 @ X54 ) ) )
        | ! [X55: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X55 )
              | ~ ( c0_1 @ X55 )
              | ~ ( c1_1 @ X55 ) ) )
        | hskp16 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X56 )
              | ~ ( c1_1 @ X56 )
              | ~ ( c3_1 @ X56 ) ) )
        | ! [X57: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X57 )
              | ~ ( c1_1 @ X57 )
              | ~ ( c2_1 @ X57 ) ) )
        | hskp15 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X58 )
              | ~ ( c1_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | hskp7
        | hskp20 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X59 )
              | ~ ( c2_1 @ X59 )
              | ~ ( c3_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X60 )
              | ( c3_1 @ X60 )
              | ~ ( c0_1 @ X60 ) ) )
        | hskp16 )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X61 )
              | ~ ( c2_1 @ X61 )
              | ~ ( c3_1 @ X61 ) ) )
        | hskp10
        | hskp4 )
      & ( ! [X62: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X62 )
              | ( c2_1 @ X62 )
              | ( c3_1 @ X62 ) ) )
        | ! [X63: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X63 )
              | ~ ( c0_1 @ X63 )
              | ~ ( c2_1 @ X63 ) ) )
        | hskp26 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X64 )
              | ( c2_1 @ X64 )
              | ~ ( c0_1 @ X64 ) ) )
        | ! [X65: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X65 )
              | ~ ( c0_1 @ X65 )
              | ~ ( c2_1 @ X65 ) ) )
        | hskp1 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ( c2_1 @ X66 )
              | ~ ( c0_1 @ X66 ) ) )
        | hskp21
        | hskp11 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ( c2_1 @ X67 )
              | ~ ( c0_1 @ X67 ) ) )
        | hskp28
        | hskp8 )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ( c2_1 @ X68 )
              | ~ ( c0_1 @ X68 ) ) )
        | hskp22
        | hskp6 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X69 )
              | ( c2_1 @ X69 )
              | ~ ( c3_1 @ X69 ) ) )
        | ! [X70: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X70 )
              | ( c3_1 @ X70 )
              | ~ ( c0_1 @ X70 ) ) )
        | hskp3 )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X71 )
              | ( c2_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | ! [X72: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X72 )
              | ~ ( c0_1 @ X72 )
              | ~ ( c1_1 @ X72 ) ) )
        | ! [X73: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X73 )
              | ~ ( c2_1 @ X73 )
              | ~ ( c3_1 @ X73 ) ) ) )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X74 )
              | ( c2_1 @ X74 )
              | ~ ( c3_1 @ X74 ) ) )
        | ! [X75: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X75 )
              | ~ ( c0_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | hskp23 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X76 )
              | ( c3_1 @ X76 )
              | ~ ( c2_1 @ X76 ) ) )
        | hskp3
        | hskp4 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X77 )
              | ~ ( c0_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X78 )
              | ~ ( c1_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | hskp15 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X79 )
              | ~ ( c0_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) )
        | hskp11
        | hskp23 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X80 )
              | ~ ( c2_1 @ X80 )
              | ~ ( c3_1 @ X80 ) ) )
        | ! [X81: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X81 )
              | ~ ( c1_1 @ X81 )
              | ~ ( c2_1 @ X81 ) ) )
        | hskp28 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ~ ( c2_1 @ X82 )
              | ~ ( c3_1 @ X82 ) ) )
        | hskp14
        | hskp23 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X83 )
              | ( c3_1 @ X83 )
              | ~ ( c0_1 @ X83 ) ) )
        | ! [X84: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X84 )
              | ~ ( c0_1 @ X84 )
              | ~ ( c2_1 @ X84 ) ) )
        | hskp8 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X85 )
              | ( c3_1 @ X85 )
              | ~ ( c0_1 @ X85 ) ) )
        | hskp3
        | hskp16 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X86 )
              | ( c3_1 @ X86 )
              | ~ ( c1_1 @ X86 ) ) )
        | ! [X87: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X87 )
              | ~ ( c0_1 @ X87 )
              | ~ ( c1_1 @ X87 ) ) )
        | hskp24 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X88 )
              | ( c3_1 @ X88 )
              | ~ ( c1_1 @ X88 ) ) )
        | hskp8
        | hskp6 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X89 )
              | ( c3_1 @ X89 )
              | ~ ( c1_1 @ X89 ) ) )
        | hskp25
        | hskp9 )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X90 )
              | ~ ( c0_1 @ X90 )
              | ~ ( c1_1 @ X90 ) ) )
        | hskp15
        | hskp25 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X91 )
              | ~ ( c0_1 @ X91 )
              | ~ ( c1_1 @ X91 ) ) )
        | hskp0
        | hskp11 )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X92 )
              | ~ ( c0_1 @ X92 )
              | ~ ( c3_1 @ X92 ) ) )
        | hskp26
        | hskp28 )
      & ( ! [X93: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X93 )
              | ~ ( c0_1 @ X93 )
              | ~ ( c3_1 @ X93 ) ) )
        | hskp5
        | hskp24 )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X94 )
              | ~ ( c0_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) )
        | hskp21
        | hskp8 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X95 )
              | ~ ( c0_1 @ X95 )
              | ~ ( c3_1 @ X95 ) ) )
        | hskp15
        | hskp11 )
      & ( ! [X96: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X96 )
              | ~ ( c1_1 @ X96 )
              | ~ ( c3_1 @ X96 ) ) )
        | ! [X97: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X97 )
              | ~ ( c2_1 @ X97 )
              | ~ ( c3_1 @ X97 ) ) )
        | hskp14 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X98 )
              | ~ ( c1_1 @ X98 )
              | ~ ( c3_1 @ X98 ) ) )
        | hskp3
        | hskp17 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X99 )
              | ~ ( c0_1 @ X99 )
              | ~ ( c1_1 @ X99 ) ) )
        | hskp3
        | hskp17 )
      & ( ! [X100: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X100 )
              | ~ ( c0_1 @ X100 )
              | ~ ( c1_1 @ X100 ) ) )
        | hskp4
        | hskp17 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X101 )
              | ~ ( c0_1 @ X101 )
              | ~ ( c2_1 @ X101 ) ) )
        | hskp27
        | hskp8 )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X102 )
              | ~ ( c0_1 @ X102 )
              | ~ ( c2_1 @ X102 ) ) )
        | hskp14
        | hskp22 )
      & ( ! [X103: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X103 )
              | ~ ( c0_1 @ X103 )
              | ~ ( c2_1 @ X103 ) ) )
        | hskp7
        | hskp20 )
      & ( ! [X104: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X104 )
              | ~ ( c1_1 @ X104 )
              | ~ ( c2_1 @ X104 ) ) )
        | hskp29
        | hskp15 )
      & ( ! [X105: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X105 )
              | ~ ( c1_1 @ X105 )
              | ~ ( c2_1 @ X105 ) ) )
        | hskp29
        | hskp18 )
      & ( ! [X106: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X106 )
              | ~ ( c1_1 @ X106 )
              | ~ ( c2_1 @ X106 ) ) )
        | ! [X107: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X107 )
              | ~ ( c2_1 @ X107 )
              | ~ ( c3_1 @ X107 ) ) )
        | hskp10 )
      & ( ! [X108: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X108 )
              | ~ ( c1_1 @ X108 )
              | ~ ( c3_1 @ X108 ) ) )
        | hskp29
        | hskp14 )
      & ( ! [X109: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X109 )
              | ~ ( c1_1 @ X109 )
              | ~ ( c3_1 @ X109 ) ) )
        | hskp19
        | hskp20 )
      & ( ! [X110: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X110 )
              | ~ ( c2_1 @ X110 )
              | ~ ( c3_1 @ X110 ) ) )
        | hskp12
        | hskp10 )
      & ( ! [X111: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X111 )
              | ~ ( c2_1 @ X111 )
              | ~ ( c3_1 @ X111 ) ) )
        | hskp10
        | hskp1 )
      & ( hskp26
        | hskp12
        | hskp8 )
      & ( hskp26
        | hskp11 )
      & ( hskp29
        | hskp22
        | hskp17 )
      & ( hskp29
        | hskp7
        | hskp17 )
      & ( hskp14
        | hskp21
        | hskp0 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c1_1 @ a584 )
        & ~ ( c0_1 @ a584 )
        & ~ ( c2_1 @ a584 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c1_1 @ a585 )
        & ( c2_1 @ a585 )
        & ~ ( c0_1 @ a585 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c1_1 @ a586 )
        & ( c2_1 @ a586 )
        & ~ ( c3_1 @ a586 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c0_1 @ a587 )
        & ( c2_1 @ a587 )
        & ~ ( c1_1 @ a587 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c0_1 @ a588 )
        & ~ ( c1_1 @ a588 )
        & ~ ( c2_1 @ a588 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c0_1 @ a589 )
        & ( c1_1 @ a589 )
        & ~ ( c2_1 @ a589 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c2_1 @ a590 )
        & ( c3_1 @ a590 )
        & ~ ( c0_1 @ a590 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c2_1 @ a592 )
        & ~ ( c0_1 @ a592 )
        & ~ ( c3_1 @ a592 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c1_1 @ a593 )
        & ( c3_1 @ a593 )
        & ~ ( c2_1 @ a593 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ ( c0_1 @ a595 )
        & ~ ( c1_1 @ a595 )
        & ~ ( c3_1 @ a595 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c0_1 @ a598 )
        & ( c3_1 @ a598 )
        & ~ ( c1_1 @ a598 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c2_1 @ a599 )
        & ( c3_1 @ a599 )
        & ~ ( c1_1 @ a599 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c0_1 @ a600 )
        & ( c2_1 @ a600 )
        & ~ ( c3_1 @ a600 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ ( c0_1 @ a601 )
        & ~ ( c1_1 @ a601 )
        & ~ ( c2_1 @ a601 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c0_1 @ a603 )
        & ~ ( c1_1 @ a603 )
        & ~ ( c3_1 @ a603 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c1_1 @ a604 )
        & ( c3_1 @ a604 )
        & ~ ( c0_1 @ a604 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c1_1 @ a606 )
        & ~ ( c2_1 @ a606 )
        & ~ ( c3_1 @ a606 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c3_1 @ a607 )
        & ~ ( c1_1 @ a607 )
        & ~ ( c2_1 @ a607 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c3_1 @ a610 )
        & ~ ( c0_1 @ a610 )
        & ~ ( c2_1 @ a610 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c2_1 @ a617 )
        & ~ ( c0_1 @ a617 )
        & ~ ( c1_1 @ a617 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ ( c1_1 @ a623 )
        & ~ ( c2_1 @ a623 )
        & ~ ( c3_1 @ a623 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c0_1 @ a629 )
        & ~ ( c2_1 @ a629 )
        & ~ ( c3_1 @ a629 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c1_1 @ a633 )
        & ~ ( c0_1 @ a633 )
        & ~ ( c3_1 @ a633 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c3_1 @ a636 )
        & ~ ( c0_1 @ a636 )
        & ~ ( c1_1 @ a636 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c0_1 @ a648 )
        & ( c1_1 @ a648 )
        & ~ ( c3_1 @ a648 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c2_1 @ a651 )
        & ~ ( c1_1 @ a651 )
        & ~ ( c3_1 @ a651 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a583 )
        & ( c1_1 @ a583 )
        & ( c2_1 @ a583 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a611 )
        & ( c1_1 @ a611 )
        & ( c3_1 @ a611 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c1_1 @ a612 )
        & ( c2_1 @ a612 )
        & ( c3_1 @ a612 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a678 )
        & ( c2_1 @ a678 )
        & ( c3_1 @ a678 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | hskp26
      | hskp0 )
    & ( ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c1_1 @ V )
            | ( c3_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ( c2_1 @ W )
            | ~ ( c1_1 @ W ) ) )
      | ! [X: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X )
            | ( c3_1 @ X )
            | ~ ( c0_1 @ X ) ) ) )
    & ( ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c1_1 @ Y )
            | ( c3_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ~ ( c1_1 @ Z )
            | ~ ( c3_1 @ Z ) ) )
      | hskp1 )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c3_1 @ X1 ) ) )
      | ! [X2: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X2 )
            | ( c3_1 @ X2 )
            | ~ ( c2_1 @ X2 ) ) )
      | hskp2 )
    & ( ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c1_1 @ X3 )
            | ( c3_1 @ X3 ) ) )
      | hskp3
      | hskp4 )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c1_1 @ X4 )
            | ~ ( c2_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ~ ( c2_1 @ X5 )
            | ~ ( c3_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X6 )
            | ~ ( c1_1 @ X6 )
            | ~ ( c3_1 @ X6 ) ) ) )
    & ( ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c1_1 @ X7 )
            | ~ ( c2_1 @ X7 ) ) )
      | hskp5
      | hskp6 )
    & ( ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ( c1_1 @ X8 )
            | ~ ( c2_1 @ X8 ) ) )
      | hskp2
      | hskp7 )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ~ ( c3_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ~ ( c1_1 @ X10 )
            | ~ ( c2_1 @ X10 ) ) )
      | hskp8 )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c1_1 @ X11 )
            | ~ ( c3_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X12 )
            | ( c2_1 @ X12 )
            | ( c3_1 @ X12 ) ) )
      | hskp26 )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c1_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X14 )
            | ~ ( c1_1 @ X14 )
            | ~ ( c2_1 @ X14 ) ) )
      | hskp9 )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c3_1 @ X15 ) ) )
      | hskp8
      | hskp6 )
    & ( ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ( c2_1 @ X16 )
            | ( c3_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ~ ( c1_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X18 )
            | ( c2_1 @ X18 )
            | ~ ( c0_1 @ X18 ) ) ) )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c2_1 @ X19 )
            | ( c3_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ~ ( c2_1 @ X20 )
            | ~ ( c3_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X21 )
            | ~ ( c2_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) ) )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c2_1 @ X22 )
            | ( c3_1 @ X22 ) ) )
      | ! [X23: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X23 )
            | ( c2_1 @ X23 )
            | ~ ( c0_1 @ X23 ) ) )
      | hskp10 )
    & ( ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c2_1 @ X24 )
            | ( c3_1 @ X24 ) ) )
      | ! [X25: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X25 )
            | ~ ( c2_1 @ X25 )
            | ~ ( c3_1 @ X25 ) ) )
      | hskp11 )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c2_1 @ X26 )
            | ( c3_1 @ X26 ) ) )
      | hskp12
      | hskp13 )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c2_1 @ X27 )
            | ( c3_1 @ X27 ) ) )
      | hskp4
      | hskp14 )
    & ( ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c2_1 @ X28 )
            | ( c3_1 @ X28 ) ) )
      | hskp15
      | hskp13 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ~ ( c1_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X30 )
            | ( c3_1 @ X30 )
            | ~ ( c2_1 @ X30 ) ) )
      | hskp16 )
    & ( ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ( c2_1 @ X31 )
            | ~ ( c1_1 @ X31 ) ) )
      | ! [X32: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X32 )
            | ~ ( c0_1 @ X32 )
            | ~ ( c2_1 @ X32 ) ) )
      | hskp17 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c2_1 @ X33 )
            | ~ ( c1_1 @ X33 ) ) )
      | hskp10
      | hskp7 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c2_1 @ X34 )
            | ~ ( c3_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X35 )
            | ( c3_1 @ X35 )
            | ~ ( c0_1 @ X35 ) ) )
      | hskp18 )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c2_1 @ X36 )
            | ~ ( c3_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X37 )
            | ~ ( c0_1 @ X37 )
            | ~ ( c1_1 @ X37 ) ) )
      | hskp27 )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ( c2_1 @ X38 )
            | ~ ( c3_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X39 )
            | ~ ( c0_1 @ X39 )
            | ~ ( c2_1 @ X39 ) ) )
      | hskp28 )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ( c3_1 @ X40 )
            | ~ ( c1_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X41 )
            | ~ ( c2_1 @ X41 )
            | ~ ( c3_1 @ X41 ) ) )
      | ! [X42: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X42 )
            | ~ ( c0_1 @ X42 )
            | ~ ( c2_1 @ X42 ) ) ) )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ( c3_1 @ X43 )
            | ~ ( c2_1 @ X43 ) ) )
      | ! [X44: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X44 )
            | ( c2_1 @ X44 )
            | ~ ( c0_1 @ X44 ) ) )
      | hskp14 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ( c3_1 @ X45 )
            | ~ ( c2_1 @ X45 ) ) )
      | hskp8
      | hskp18 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ~ ( c1_1 @ X46 )
            | ~ ( c2_1 @ X46 ) ) )
      | ! [X47: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X47 )
            | ( c2_1 @ X47 )
            | ~ ( c3_1 @ X47 ) ) )
      | ! [X48: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X48 )
            | ~ ( c2_1 @ X48 )
            | ~ ( c3_1 @ X48 ) ) ) )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ~ ( c1_1 @ X49 )
            | ~ ( c2_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X50 )
            | ~ ( c1_1 @ X50 )
            | ~ ( c2_1 @ X50 ) ) )
      | hskp12 )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X51 )
            | ~ ( c1_1 @ X51 )
            | ~ ( c2_1 @ X51 ) ) )
      | hskp19
      | hskp13 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X52 )
            | ~ ( c1_1 @ X52 )
            | ~ ( c3_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X53 )
            | ~ ( c0_1 @ X53 )
            | ~ ( c3_1 @ X53 ) ) )
      | hskp8 )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X54 )
            | ~ ( c1_1 @ X54 )
            | ~ ( c3_1 @ X54 ) ) )
      | ! [X55: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X55 )
            | ~ ( c0_1 @ X55 )
            | ~ ( c1_1 @ X55 ) ) )
      | hskp16 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X56 )
            | ~ ( c1_1 @ X56 )
            | ~ ( c3_1 @ X56 ) ) )
      | ! [X57: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X57 )
            | ~ ( c1_1 @ X57 )
            | ~ ( c2_1 @ X57 ) ) )
      | hskp15 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X58 )
            | ~ ( c1_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | hskp7
      | hskp20 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X59 )
            | ~ ( c2_1 @ X59 )
            | ~ ( c3_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X60 )
            | ( c3_1 @ X60 )
            | ~ ( c0_1 @ X60 ) ) )
      | hskp16 )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X61 )
            | ~ ( c2_1 @ X61 )
            | ~ ( c3_1 @ X61 ) ) )
      | hskp10
      | hskp4 )
    & ( ! [X62: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X62 )
            | ( c2_1 @ X62 )
            | ( c3_1 @ X62 ) ) )
      | ! [X63: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X63 )
            | ~ ( c0_1 @ X63 )
            | ~ ( c2_1 @ X63 ) ) )
      | hskp26 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X64 )
            | ( c2_1 @ X64 )
            | ~ ( c0_1 @ X64 ) ) )
      | ! [X65: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X65 )
            | ~ ( c0_1 @ X65 )
            | ~ ( c2_1 @ X65 ) ) )
      | hskp1 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ( c2_1 @ X66 )
            | ~ ( c0_1 @ X66 ) ) )
      | hskp21
      | hskp11 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ( c2_1 @ X67 )
            | ~ ( c0_1 @ X67 ) ) )
      | hskp28
      | hskp8 )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ( c2_1 @ X68 )
            | ~ ( c0_1 @ X68 ) ) )
      | hskp22
      | hskp6 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X69 )
            | ( c2_1 @ X69 )
            | ~ ( c3_1 @ X69 ) ) )
      | ! [X70: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X70 )
            | ( c3_1 @ X70 )
            | ~ ( c0_1 @ X70 ) ) )
      | hskp3 )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X71 )
            | ( c2_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | ! [X72: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X72 )
            | ~ ( c0_1 @ X72 )
            | ~ ( c1_1 @ X72 ) ) )
      | ! [X73: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X73 )
            | ~ ( c2_1 @ X73 )
            | ~ ( c3_1 @ X73 ) ) ) )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X74 )
            | ( c2_1 @ X74 )
            | ~ ( c3_1 @ X74 ) ) )
      | ! [X75: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X75 )
            | ~ ( c0_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | hskp23 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X76 )
            | ( c3_1 @ X76 )
            | ~ ( c2_1 @ X76 ) ) )
      | hskp3
      | hskp4 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X77 )
            | ~ ( c0_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X78 )
            | ~ ( c1_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | hskp15 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X79 )
            | ~ ( c0_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) )
      | hskp11
      | hskp23 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X80 )
            | ~ ( c2_1 @ X80 )
            | ~ ( c3_1 @ X80 ) ) )
      | ! [X81: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X81 )
            | ~ ( c1_1 @ X81 )
            | ~ ( c2_1 @ X81 ) ) )
      | hskp28 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ~ ( c2_1 @ X82 )
            | ~ ( c3_1 @ X82 ) ) )
      | hskp14
      | hskp23 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X83 )
            | ( c3_1 @ X83 )
            | ~ ( c0_1 @ X83 ) ) )
      | ! [X84: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X84 )
            | ~ ( c0_1 @ X84 )
            | ~ ( c2_1 @ X84 ) ) )
      | hskp8 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X85 )
            | ( c3_1 @ X85 )
            | ~ ( c0_1 @ X85 ) ) )
      | hskp3
      | hskp16 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X86 )
            | ( c3_1 @ X86 )
            | ~ ( c1_1 @ X86 ) ) )
      | ! [X87: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X87 )
            | ~ ( c0_1 @ X87 )
            | ~ ( c1_1 @ X87 ) ) )
      | hskp24 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X88 )
            | ( c3_1 @ X88 )
            | ~ ( c1_1 @ X88 ) ) )
      | hskp8
      | hskp6 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X89 )
            | ( c3_1 @ X89 )
            | ~ ( c1_1 @ X89 ) ) )
      | hskp25
      | hskp9 )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X90 )
            | ~ ( c0_1 @ X90 )
            | ~ ( c1_1 @ X90 ) ) )
      | hskp15
      | hskp25 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X91 )
            | ~ ( c0_1 @ X91 )
            | ~ ( c1_1 @ X91 ) ) )
      | hskp0
      | hskp11 )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X92 )
            | ~ ( c0_1 @ X92 )
            | ~ ( c3_1 @ X92 ) ) )
      | hskp26
      | hskp28 )
    & ( ! [X93: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X93 )
            | ~ ( c0_1 @ X93 )
            | ~ ( c3_1 @ X93 ) ) )
      | hskp5
      | hskp24 )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X94 )
            | ~ ( c0_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) )
      | hskp21
      | hskp8 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X95 )
            | ~ ( c0_1 @ X95 )
            | ~ ( c3_1 @ X95 ) ) )
      | hskp15
      | hskp11 )
    & ( ! [X96: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X96 )
            | ~ ( c1_1 @ X96 )
            | ~ ( c3_1 @ X96 ) ) )
      | ! [X97: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X97 )
            | ~ ( c2_1 @ X97 )
            | ~ ( c3_1 @ X97 ) ) )
      | hskp14 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X98 )
            | ~ ( c1_1 @ X98 )
            | ~ ( c3_1 @ X98 ) ) )
      | hskp3
      | hskp17 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X99 )
            | ~ ( c0_1 @ X99 )
            | ~ ( c1_1 @ X99 ) ) )
      | hskp3
      | hskp17 )
    & ( ! [X100: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X100 )
            | ~ ( c0_1 @ X100 )
            | ~ ( c1_1 @ X100 ) ) )
      | hskp4
      | hskp17 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X101 )
            | ~ ( c0_1 @ X101 )
            | ~ ( c2_1 @ X101 ) ) )
      | hskp27
      | hskp8 )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X102 )
            | ~ ( c0_1 @ X102 )
            | ~ ( c2_1 @ X102 ) ) )
      | hskp14
      | hskp22 )
    & ( ! [X103: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X103 )
            | ~ ( c0_1 @ X103 )
            | ~ ( c2_1 @ X103 ) ) )
      | hskp7
      | hskp20 )
    & ( ! [X104: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X104 )
            | ~ ( c1_1 @ X104 )
            | ~ ( c2_1 @ X104 ) ) )
      | hskp29
      | hskp15 )
    & ( ! [X105: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X105 )
            | ~ ( c1_1 @ X105 )
            | ~ ( c2_1 @ X105 ) ) )
      | hskp29
      | hskp18 )
    & ( ! [X106: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X106 )
            | ~ ( c1_1 @ X106 )
            | ~ ( c2_1 @ X106 ) ) )
      | ! [X107: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X107 )
            | ~ ( c2_1 @ X107 )
            | ~ ( c3_1 @ X107 ) ) )
      | hskp10 )
    & ( ! [X108: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X108 )
            | ~ ( c1_1 @ X108 )
            | ~ ( c3_1 @ X108 ) ) )
      | hskp29
      | hskp14 )
    & ( ! [X109: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X109 )
            | ~ ( c1_1 @ X109 )
            | ~ ( c3_1 @ X109 ) ) )
      | hskp19
      | hskp20 )
    & ( ! [X110: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X110 )
            | ~ ( c2_1 @ X110 )
            | ~ ( c3_1 @ X110 ) ) )
      | hskp12
      | hskp10 )
    & ( ! [X111: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X111 )
            | ~ ( c2_1 @ X111 )
            | ~ ( c3_1 @ X111 ) ) )
      | hskp10
      | hskp1 )
    & ( hskp26
      | hskp12
      | hskp8 )
    & ( hskp26
      | hskp11 )
    & ( hskp29
      | hskp22
      | hskp17 )
    & ( hskp29
      | hskp7
      | hskp17 )
    & ( hskp14
      | hskp21
      | hskp0 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl64,plain,
    ! [X86: $i,X87: $i] :
      ( ( c0_1 @ X86 )
      | ( c2_1 @ X86 )
      | ( c3_1 @ X86 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X87 )
      | ~ ( c2_1 @ X87 )
      | ~ ( c3_1 @ X87 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c2_1 @ X83 )
        | ( c3_1 @ X83 ) )
    | hskp11
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp15
    | ( c1_1 @ a604 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl628,plain,
    ( ( c1_1 @ a604 )
   <= ( c1_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl17,plain,
    ! [X13: $i] :
      ( ( c2_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ( c3_1 @ X13 )
      | ~ ndr1_0
      | hskp3
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl262,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1247,plain,
    ( ( ( c2_1 @ a604 )
      | ~ ( c3_1 @ a604 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ( c1_1 @ a604 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl262]) ).

thf(zip_derived_cl3415,plain,
    ( ( c2_1 @ a604 )
   <= ( c2_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl1247]) ).

thf(zip_derived_cl30,plain,
    ! [X29: $i] :
      ( ( c1_1 @ X29 )
      | ~ ( c2_1 @ X29 )
      | ~ ( c3_1 @ X29 )
      | ~ ndr1_0
      | hskp14
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl314,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp10
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl214,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_cl5]) ).

thf(zip_derived_cl937,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl214]) ).

thf(zip_derived_cl969,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl937]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp15
    | ( c3_1 @ a604 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl630,plain,
    ( ( c3_1 @ a604 )
   <= ( c3_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl2155,plain,
    ( ~ ( c2_1 @ a604 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
      & ( c3_1 @ a604 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl969,zip_derived_cl630]) ).

thf('1',plain,
    ( ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a604 )
    | ~ ( c3_1 @ a604 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3415,zip_derived_cl2155]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp1
    | ( c1_1 @ a585 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl740,plain,
    ( ( c1_1 @ a585 )
   <= ( c1_1 @ a585 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl10,plain,
    ! [X6: $i] :
      ( ( c3_1 @ X6 )
      | ~ ( c1_1 @ X6 )
      | ~ ( c2_1 @ X6 )
      | ~ ndr1_0
      | hskp29
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl234,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1371,plain,
    ( ( ( c3_1 @ a585 )
      | ~ ( c2_1 @ a585 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c1_1 @ a585 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl740,zip_derived_cl234]) ).

thf('2',plain,
    ( ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ( c3_1 @ a585 )
    | ~ ( c2_1 @ a585 )
    | ~ ( c1_1 @ a585 ) ),
    inference(split,[status(esa)],[zip_derived_cl1371]) ).

thf(zip_derived_cl740_001,plain,
    ( ( c1_1 @ a585 )
   <= ( c1_1 @ a585 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl214_002,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_cl5]) ).

thf(zip_derived_cl1368,plain,
    ( ( ~ ( c2_1 @ a585 )
      | ~ ( c3_1 @ a585 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a585 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl740,zip_derived_cl214]) ).

thf('3',plain,
    ( ~ ( c3_1 @ a585 )
    | ~ ( c2_1 @ a585 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a585 ) ),
    inference(split,[status(esa)],[zip_derived_cl1368]) ).

thf(zip_derived_cl39,plain,
    ! [X44: $i] :
      ( ( c1_1 @ X44 )
      | ( c2_1 @ X44 )
      | ~ ( c0_1 @ X44 )
      | ~ ndr1_0
      | hskp28
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( hskp8
    | hskp28
    | ~ ndr1_0
    | ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl42,plain,
    ! [X48: $i,X49: $i] :
      ( ( c1_1 @ X48 )
      | ( c2_1 @ X48 )
      | ( c3_1 @ X48 )
      | ~ ndr1_0
      | ( c1_1 @ X49 )
      | ~ ( c0_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl363,plain,
    ( ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) )
   <= ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a588 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl718,plain,
    ( ~ ( c1_1 @ a588 )
   <= ~ ( c1_1 @ a588 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl1616,plain,
    ( ( ( c3_1 @ a588 )
      | ( c2_1 @ a588 ) )
   <= ( ~ ( c1_1 @ a588 )
      & ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ( c2_1 @ X48 )
          | ( c3_1 @ X48 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl718]) ).

thf('5',plain,
    ( ~ ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ( c2_1 @ X48 )
          | ( c3_1 @ X48 ) )
    | ( c3_1 @ a588 )
    | ( c1_1 @ a588 )
    | ( c2_1 @ a588 ) ),
    inference(split,[status(esa)],[zip_derived_cl1616]) ).

thf(zip_derived_cl32,plain,
    ! [X32: $i] :
      ( ( c1_1 @ X32 )
      | ~ ( c0_1 @ X32 )
      | ~ ( c3_1 @ X32 )
      | ~ ndr1_0
      | hskp11
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl322,plain,
    ( ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ~ ( c3_1 @ X32 ) )
   <= ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ~ ( c3_1 @ X32 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl718_003,plain,
    ( ~ ( c1_1 @ a588 )
   <= ~ ( c1_1 @ a588 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl1033,plain,
    ( ( ~ ( c3_1 @ a588 )
      | ~ ( c0_1 @ a588 ) )
   <= ( ~ ( c1_1 @ a588 )
      & ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ~ ( c3_1 @ X32 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl718]) ).

thf('6',plain,
    ( ~ ( c3_1 @ a588 )
    | ( c1_1 @ a588 )
    | ~ ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ~ ( c3_1 @ X32 ) )
    | ~ ( c0_1 @ a588 ) ),
    inference(split,[status(esa)],[zip_derived_cl1033]) ).

thf(zip_derived_cl38,plain,
    ! [X43: $i] :
      ( ( c1_1 @ X43 )
      | ( c2_1 @ X43 )
      | ~ ( c0_1 @ X43 )
      | ~ ndr1_0
      | hskp22
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl346,plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a607 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl614,plain,
    ( ~ ( c1_1 @ a607 )
   <= ~ ( c1_1 @ a607 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl1405,plain,
    ( ( ~ ( c0_1 @ a607 )
      | ( c2_1 @ a607 ) )
   <= ( ~ ( c1_1 @ a607 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl346,zip_derived_cl614]) ).

thf('7',plain,
    ( ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) )
    | ~ ( c0_1 @ a607 )
    | ( c1_1 @ a607 )
    | ( c2_1 @ a607 ) ),
    inference(split,[status(esa)],[zip_derived_cl1405]) ).

thf(zip_derived_cl68,plain,
    ! [X96: $i] :
      ( ( c0_1 @ X96 )
      | ( c1_1 @ X96 )
      | ~ ( c3_1 @ X96 )
      | ~ ndr1_0
      | hskp8
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl466,plain,
    ( ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c1_1 @ X96 )
        | ~ ( c3_1 @ X96 ) )
   <= ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c1_1 @ X96 )
        | ~ ( c3_1 @ X96 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(zip_derived_cl614_004,plain,
    ( ~ ( c1_1 @ a607 )
   <= ~ ( c1_1 @ a607 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl1859,plain,
    ( ( ~ ( c3_1 @ a607 )
      | ( c0_1 @ a607 ) )
   <= ( ~ ( c1_1 @ a607 )
      & ! [X96: $i] :
          ( ( c0_1 @ X96 )
          | ( c1_1 @ X96 )
          | ~ ( c3_1 @ X96 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl614]) ).

thf('8',plain,
    ( ( c0_1 @ a607 )
    | ~ ! [X96: $i] :
          ( ( c0_1 @ X96 )
          | ( c1_1 @ X96 )
          | ~ ( c3_1 @ X96 ) )
    | ( c1_1 @ a607 )
    | ~ ( c3_1 @ a607 ) ),
    inference(split,[status(esa)],[zip_derived_cl1859]) ).

thf(zip_derived_cl61,plain,
    ! [X83: $i] :
      ( ( c0_1 @ X83 )
      | ( c2_1 @ X83 )
      | ( c3_1 @ X83 )
      | ~ ndr1_0
      | hskp15
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl438,plain,
    ( ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c2_1 @ X83 )
        | ( c3_1 @ X83 ) )
   <= ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c2_1 @ X83 )
        | ( c3_1 @ X83 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl314_005,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp13
    | ~ ( c1_1 @ a601 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl646,plain,
    ( ~ ( c1_1 @ a601 )
   <= ~ ( c1_1 @ a601 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl950,plain,
    ( ( ~ ( c3_1 @ a601 )
      | ~ ( c2_1 @ a601 ) )
   <= ( ~ ( c1_1 @ a601 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl646]) ).

thf(zip_derived_cl1000,plain,
    ( ~ ( c3_1 @ a601 )
   <= ~ ( c3_1 @ a601 ) ),
    inference(split,[status(esa)],[zip_derived_cl950]) ).

thf(zip_derived_cl1913,plain,
    ( ( ( c2_1 @ a601 )
      | ( c0_1 @ a601 ) )
   <= ( ~ ( c3_1 @ a601 )
      & ! [X83: $i] :
          ( ( c0_1 @ X83 )
          | ( c2_1 @ X83 )
          | ( c3_1 @ X83 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl1000]) ).

thf('9',plain,
    ( ( c0_1 @ a601 )
    | ( c2_1 @ a601 )
    | ~ ! [X83: $i] :
          ( ( c0_1 @ X83 )
          | ( c2_1 @ X83 )
          | ( c3_1 @ X83 ) )
    | ( c3_1 @ a601 ) ),
    inference(split,[status(esa)],[zip_derived_cl1913]) ).

thf(zip_derived_cl35,plain,
    ! [X36: $i,X37: $i] :
      ( ( c1_1 @ X36 )
      | ( c2_1 @ X36 )
      | ~ ( c3_1 @ X36 )
      | ~ ndr1_0
      | ( c2_1 @ X37 )
      | ~ ( c0_1 @ X37 )
      | ~ ( c3_1 @ X37 )
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl335,plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl646_006,plain,
    ( ~ ( c1_1 @ a601 )
   <= ~ ( c1_1 @ a601 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl1216,plain,
    ( ( ~ ( c3_1 @ a601 )
      | ( c2_1 @ a601 ) )
   <= ( ~ ( c1_1 @ a601 )
      & ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl335,zip_derived_cl646]) ).

thf('10',plain,
    ( ~ ( c3_1 @ a601 )
    | ( c2_1 @ a601 )
    | ~ ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
    | ( c1_1 @ a601 ) ),
    inference(split,[status(esa)],[zip_derived_cl1216]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp13
    | ~ ( c0_1 @ a601 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( ~ ( c0_1 @ a601 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf('12',plain,
    ( ~ ( c1_1 @ a601 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp13
    | ~ ( c2_1 @ a601 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( ~ ( c2_1 @ a601 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl49,plain,
    ! [X60: $i] :
      ( ( c0_1 @ X60 )
      | ~ ( c1_1 @ X60 )
      | ~ ( c2_1 @ X60 )
      | ~ ndr1_0
      | hskp19
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('14',plain,
    ( hskp13
    | ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c2_1 @ X60 ) )
    | ~ ndr1_0
    | hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl628_007,plain,
    ( ( c1_1 @ a604 )
   <= ( c1_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl214_008,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_cl5]) ).

thf(zip_derived_cl1242,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_cl628,zip_derived_cl214]) ).

thf('15',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a604 )
    | ~ ( c3_1 @ a604 )
    | ~ ( c1_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl1242]) ).

thf(zip_derived_cl66,plain,
    ! [X90: $i,X91: $i,X92: $i] :
      ( ( c0_1 @ X90 )
      | ( c2_1 @ X90 )
      | ( c3_1 @ X90 )
      | ~ ndr1_0
      | ( c0_1 @ X91 )
      | ~ ( c2_1 @ X91 )
      | ~ ( c3_1 @ X91 )
      | ~ ndr1_0
      | ( c1_1 @ X92 )
      | ~ ( c2_1 @ X92 )
      | ~ ( c3_1 @ X92 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c2_1 @ X83 )
        | ( c3_1 @ X83 ) )
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
    | ~ ndr1_0
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl362,plain,
    ( ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ~ ( c0_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ~ ( c0_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp3
    | ~ ( c1_1 @ a587 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl728,plain,
    ( ~ ( c1_1 @ a587 )
   <= ~ ( c1_1 @ a587 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl1561,plain,
    ( ( ~ ( c2_1 @ a587 )
      | ~ ( c0_1 @ a587 ) )
   <= ( ~ ( c1_1 @ a587 )
      & ! [X49: $i] :
          ( ( c1_1 @ X49 )
          | ~ ( c0_1 @ X49 )
          | ~ ( c2_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl728]) ).

thf('17',plain,
    ( ~ ! [X49: $i] :
          ( ( c1_1 @ X49 )
          | ~ ( c0_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c2_1 @ a587 )
    | ( c1_1 @ a587 )
    | ~ ( c0_1 @ a587 ) ),
    inference(split,[status(esa)],[zip_derived_cl1561]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp19
    | ( c2_1 @ a617 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('18',plain,
    ( ( c2_1 @ a617 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a617 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('19',plain,
    ( ~ ( c0_1 @ a617 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp19
    | ~ ( c1_1 @ a617 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('20',plain,
    ( ~ ( c1_1 @ a617 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl72,plain,
    ! [X103: $i] :
      ( ( c0_1 @ X103 )
      | ( c1_1 @ X103 )
      | ~ ( c2_1 @ X103 )
      | ~ ndr1_0
      | hskp2
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl482,plain,
    ( ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) )
   <= ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl600,plain,
    ( ~ ( c1_1 @ a617 )
   <= ~ ( c1_1 @ a617 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl1972,plain,
    ( ( ~ ( c2_1 @ a617 )
      | ( c0_1 @ a617 ) )
   <= ( ~ ( c1_1 @ a617 )
      & ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl600]) ).

thf('21',plain,
    ( ( c0_1 @ a617 )
    | ( c1_1 @ a617 )
    | ~ ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) )
    | ~ ( c2_1 @ a617 ) ),
    inference(split,[status(esa)],[zip_derived_cl1972]) ).

thf('22',plain,
    ( ( c1_1 @ a585 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp1
    | ( c2_1 @ a585 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('23',plain,
    ( ( c2_1 @ a585 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp1
    | ~ ( c0_1 @ a585 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('24',plain,
    ( ~ ( c0_1 @ a585 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl41,plain,
    ! [X46: $i,X47: $i] :
      ( ( c1_1 @ X46 )
      | ( c2_1 @ X46 )
      | ~ ( c0_1 @ X46 )
      | ~ ndr1_0
      | ( c3_1 @ X47 )
      | ~ ( c0_1 @ X47 )
      | ~ ( c2_1 @ X47 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( hskp1
    | ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl34,plain,
    ! [X35: $i] :
      ( ( c1_1 @ X35 )
      | ( c3_1 @ X35 )
      | ~ ( c2_1 @ X35 )
      | ~ ndr1_0
      | hskp3
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl330,plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c3_1 @ X35 )
        | ~ ( c2_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c3_1 @ X35 )
        | ~ ( c2_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp14
    | ~ ( c1_1 @ a603 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl638,plain,
    ( ~ ( c1_1 @ a603 )
   <= ~ ( c1_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1122,plain,
    ( ( ~ ( c2_1 @ a603 )
      | ( c3_1 @ a603 ) )
   <= ( ~ ( c1_1 @ a603 )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c2_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl638]) ).

thf('26',plain,
    ( ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c2_1 @ X35 ) )
    | ~ ( c2_1 @ a603 )
    | ( c3_1 @ a603 )
    | ( c1_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl1122]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp20
    | ~ ( c1_1 @ a623 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( ~ ( c1_1 @ a623 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp20
    | ~ ( c2_1 @ a623 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( ~ ( c2_1 @ a623 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp20
    | ~ ( c3_1 @ a623 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('29',plain,
    ( ~ ( c3_1 @ a623 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl363_009,plain,
    ( ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) )
   <= ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl588,plain,
    ( ~ ( c1_1 @ a623 )
   <= ~ ( c1_1 @ a623 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl1624,plain,
    ( ( ( c3_1 @ a623 )
      | ( c2_1 @ a623 ) )
   <= ( ~ ( c1_1 @ a623 )
      & ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ( c2_1 @ X48 )
          | ( c3_1 @ X48 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl588]) ).

thf('30',plain,
    ( ~ ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ( c2_1 @ X48 )
          | ( c3_1 @ X48 ) )
    | ( c1_1 @ a623 )
    | ( c2_1 @ a623 )
    | ( c3_1 @ a623 ) ),
    inference(split,[status(esa)],[zip_derived_cl1624]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0
      | hskp19
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('31',plain,
    ( hskp20
    | hskp19
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl314_010,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp10
    | ~ ( c1_1 @ a598 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl672,plain,
    ( ~ ( c1_1 @ a598 )
   <= ~ ( c1_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl948,plain,
    ( ( ~ ( c3_1 @ a598 )
      | ~ ( c2_1 @ a598 ) )
   <= ( ~ ( c1_1 @ a598 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl672]) ).

thf('32',plain,
    ( ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
    | ~ ( c2_1 @ a598 )
    | ( c1_1 @ a598 )
    | ~ ( c3_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl948]) ).

thf(zip_derived_cl362_011,plain,
    ( ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ~ ( c0_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ~ ( c0_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl638_012,plain,
    ( ~ ( c1_1 @ a603 )
   <= ~ ( c1_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1567,plain,
    ( ( ~ ( c2_1 @ a603 )
      | ~ ( c0_1 @ a603 ) )
   <= ( ~ ( c1_1 @ a603 )
      & ! [X49: $i] :
          ( ( c1_1 @ X49 )
          | ~ ( c0_1 @ X49 )
          | ~ ( c2_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl638]) ).

thf('33',plain,
    ( ~ ( c2_1 @ a603 )
    | ~ ! [X49: $i] :
          ( ( c1_1 @ X49 )
          | ~ ( c0_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c0_1 @ a603 )
    | ( c1_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl1567]) ).

thf(zip_derived_cl51,plain,
    ! [X63: $i,X64: $i,X65: $i] :
      ( ( c0_1 @ X63 )
      | ~ ( c1_1 @ X63 )
      | ~ ( c2_1 @ X63 )
      | ~ ndr1_0
      | ( c1_1 @ X64 )
      | ( c2_1 @ X64 )
      | ~ ( c3_1 @ X64 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X65 )
      | ~ ( c2_1 @ X65 )
      | ~ ( c3_1 @ X65 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c2_1 @ X60 ) )
    | ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp28
    | ( c1_1 @ a612 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl524,plain,
    ( ( c1_1 @ a612 )
   <= ( c1_1 @ a612 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl390,plain,
    ( ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c2_1 @ X60 ) )
   <= ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c2_1 @ X60 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl1524,plain,
    ( ( ( c0_1 @ a612 )
      | ~ ( c2_1 @ a612 ) )
   <= ( ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ~ ( c1_1 @ X60 )
          | ~ ( c2_1 @ X60 ) )
      & ( c1_1 @ a612 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl524,zip_derived_cl390]) ).

thf('35',plain,
    ( ( c0_1 @ a612 )
    | ~ ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ~ ( c1_1 @ X60 )
          | ~ ( c2_1 @ X60 ) )
    | ~ ( c2_1 @ a612 )
    | ~ ( c1_1 @ a612 ) ),
    inference(split,[status(esa)],[zip_derived_cl1524]) ).

thf(zip_derived_cl47,plain,
    ! [X56: $i,X57: $i] :
      ( ( c0_1 @ X56 )
      | ~ ( c1_1 @ X56 )
      | ~ ( c3_1 @ X56 )
      | ~ ndr1_0
      | ( c3_1 @ X57 )
      | ~ ( c0_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('36',plain,
    ( hskp16
    | ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
    | ~ ndr1_0
    | ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c3_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp26
    | ( c1_1 @ a583 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl542,plain,
    ( ( c1_1 @ a583 )
   <= ( c1_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl15,plain,
    ! [X11: $i] :
      ( ( c3_1 @ X11 )
      | ~ ( c0_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ndr1_0
      | hskp4
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl254,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1100,plain,
    ( ( ( c3_1 @ a583 )
      | ~ ( c0_1 @ a583 ) )
   <= ( ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c1_1 @ a583 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl254]) ).

thf('37',plain,
    ( ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ( c3_1 @ a583 )
    | ~ ( c1_1 @ a583 )
    | ~ ( c0_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl1100]) ).

thf(zip_derived_cl54,plain,
    ! [X69: $i,X70: $i,X71: $i] :
      ( ( c0_1 @ X69 )
      | ( c3_1 @ X69 )
      | ~ ( c1_1 @ X69 )
      | ~ ndr1_0
      | ( c1_1 @ X70 )
      | ~ ( c2_1 @ X70 )
      | ~ ( c3_1 @ X70 )
      | ~ ndr1_0
      | ( c3_1 @ X71 )
      | ~ ( c0_1 @ X71 )
      | ~ ( c2_1 @ X71 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c3_1 @ X69 )
        | ~ ( c1_1 @ X69 ) )
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp16
    | ( c1_1 @ a606 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl620,plain,
    ( ( c1_1 @ a606 )
   <= ( c1_1 @ a606 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl412,plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c3_1 @ X69 )
        | ~ ( c1_1 @ X69 ) )
   <= ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c3_1 @ X69 )
        | ~ ( c1_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl1682,plain,
    ( ( ( c0_1 @ a606 )
      | ( c3_1 @ a606 ) )
   <= ( ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c3_1 @ X69 )
          | ~ ( c1_1 @ X69 ) )
      & ( c1_1 @ a606 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl620,zip_derived_cl412]) ).

thf('39',plain,
    ( ( c0_1 @ a606 )
    | ( c3_1 @ a606 )
    | ~ ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c3_1 @ X69 )
          | ~ ( c1_1 @ X69 ) )
    | ~ ( c1_1 @ a606 ) ),
    inference(split,[status(esa)],[zip_derived_cl1682]) ).

thf(zip_derived_cl60,plain,
    ! [X81: $i,X82: $i] :
      ( ( c0_1 @ X81 )
      | ( c2_1 @ X81 )
      | ~ ( c1_1 @ X81 )
      | ~ ndr1_0
      | ( c1_1 @ X82 )
      | ( c3_1 @ X82 )
      | ~ ( c2_1 @ X82 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( hskp16
    | ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c3_1 @ X35 )
        | ~ ( c2_1 @ X35 ) )
    | ~ ndr1_0
    | ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ~ ( c1_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl330_013,plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c3_1 @ X35 )
        | ~ ( c2_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c3_1 @ X35 )
        | ~ ( c2_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl728_014,plain,
    ( ~ ( c1_1 @ a587 )
   <= ~ ( c1_1 @ a587 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl1116,plain,
    ( ( ~ ( c2_1 @ a587 )
      | ( c3_1 @ a587 ) )
   <= ( ~ ( c1_1 @ a587 )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c2_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl728]) ).

thf('41',plain,
    ( ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c2_1 @ X35 ) )
    | ( c3_1 @ a587 )
    | ( c1_1 @ a587 )
    | ~ ( c2_1 @ a587 ) ),
    inference(split,[status(esa)],[zip_derived_cl1116]) ).

thf(zip_derived_cl3674,plain,
    ( ( c3_1 @ a587 )
   <= ( c3_1 @ a587 ) ),
    inference(split,[status(esa)],[zip_derived_cl1116]) ).

thf(zip_derived_cl6,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp12
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl218,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_cl6]) ).

thf(zip_derived_cl3688,plain,
    ( ( ~ ( c0_1 @ a587 )
      | ~ ( c2_1 @ a587 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a587 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3674,zip_derived_cl218]) ).

thf('42',plain,
    ( ~ ( c3_1 @ a587 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c2_1 @ a587 )
    | ~ ( c0_1 @ a587 ) ),
    inference(split,[status(esa)],[zip_derived_cl3688]) ).

thf('43',plain,
    ( ~ ( c1_1 @ a587 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl2,plain,
    ( hskp29
    | hskp22
    | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('44',plain,
    ( hskp29
    | hskp17
    | hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl13,plain,
    ! [X9: $i] :
      ( ( c3_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ( c2_1 @ X9 )
      | ~ ndr1_0
      | hskp14
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('45',plain,
    ( hskp14
    | hskp22
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp22
    | ( c1_1 @ a633 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl572,plain,
    ( ( c1_1 @ a633 )
   <= ( c1_1 @ a633 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl412_015,plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c3_1 @ X69 )
        | ~ ( c1_1 @ X69 ) )
   <= ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c3_1 @ X69 )
        | ~ ( c1_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl1683,plain,
    ( ( ( c0_1 @ a633 )
      | ( c3_1 @ a633 ) )
   <= ( ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c3_1 @ X69 )
          | ~ ( c1_1 @ X69 ) )
      & ( c1_1 @ a633 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl572,zip_derived_cl412]) ).

thf('46',plain,
    ( ( c0_1 @ a633 )
    | ( c3_1 @ a633 )
    | ~ ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c3_1 @ X69 )
          | ~ ( c1_1 @ X69 ) )
    | ~ ( c1_1 @ a633 ) ),
    inference(split,[status(esa)],[zip_derived_cl1683]) ).

thf(zip_derived_cl56,plain,
    ! [X74: $i,X75: $i] :
      ( ( c0_1 @ X74 )
      | ( c2_1 @ X74 )
      | ~ ( c3_1 @ X74 )
      | ~ ndr1_0
      | ( c2_1 @ X75 )
      | ~ ( c0_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 ) )
    | hskp27
    | ~ ndr1_0
    | ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ~ ( c3_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp8
    | ( c1_1 @ a593 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl684,plain,
    ( ( c1_1 @ a593 )
   <= ( c1_1 @ a593 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl58,plain,
    ! [X78: $i] :
      ( ( c0_1 @ X78 )
      | ( c2_1 @ X78 )
      | ~ ( c1_1 @ X78 )
      | ~ ndr1_0
      | hskp10
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl426,plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ~ ( c1_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ~ ( c1_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl1743,plain,
    ( ( ( c0_1 @ a593 )
      | ( c2_1 @ a593 ) )
   <= ( ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ~ ( c1_1 @ X78 ) )
      & ( c1_1 @ a593 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl426]) ).

thf('48',plain,
    ( ~ ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ~ ( c1_1 @ X78 ) )
    | ( c0_1 @ a593 )
    | ( c2_1 @ a593 )
    | ~ ( c1_1 @ a593 ) ),
    inference(split,[status(esa)],[zip_derived_cl1743]) ).

thf(zip_derived_cl684_016,plain,
    ( ( c1_1 @ a593 )
   <= ( c1_1 @ a593 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl45,plain,
    ! [X53: $i] :
      ( ( c0_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ( c3_1 @ X53 )
      | ~ ndr1_0
      | hskp7
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl374,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c3_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c3_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1465,plain,
    ( ( ( c0_1 @ a593 )
      | ~ ( c3_1 @ a593 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c3_1 @ X53 ) )
      & ( c1_1 @ a593 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl374]) ).

thf('49',plain,
    ( ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c3_1 @ X53 ) )
    | ( c0_1 @ a593 )
    | ~ ( c3_1 @ a593 )
    | ~ ( c1_1 @ a593 ) ),
    inference(split,[status(esa)],[zip_derived_cl1465]) ).

thf(zip_derived_cl19,plain,
    ! [X16: $i] :
      ( ( c2_1 @ X16 )
      | ~ ( c0_1 @ X16 )
      | ~ ( c3_1 @ X16 )
      | ~ ndr1_0
      | hskp15
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('50',plain,
    ( hskp15
    | hskp11
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl630_017,plain,
    ( ( c3_1 @ a604 )
   <= ( c3_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl270,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c3_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1251,plain,
    ( ( ( c2_1 @ a604 )
      | ~ ( c0_1 @ a604 ) )
   <= ( ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
      & ( c3_1 @ a604 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl630,zip_derived_cl270]) ).

thf('51',plain,
    ( ~ ( c0_1 @ a604 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
    | ~ ( c3_1 @ a604 )
    | ( c2_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl1251]) ).

thf(zip_derived_cl630_018,plain,
    ( ( c3_1 @ a604 )
   <= ( c3_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl218_019,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_cl6]) ).

thf(zip_derived_cl1250,plain,
    ( ( ~ ( c0_1 @ a604 )
      | ~ ( c2_1 @ a604 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a604 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl630,zip_derived_cl218]) ).

thf('52',plain,
    ( ~ ( c0_1 @ a604 )
    | ~ ( c2_1 @ a604 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl1250]) ).

thf(zip_derived_cl630_020,plain,
    ( ( c3_1 @ a604 )
   <= ( c3_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl43,plain,
    ! [X50: $i] :
      ( ( c0_1 @ X50 )
      | ~ ( c2_1 @ X50 )
      | ~ ( c3_1 @ X50 )
      | ~ ndr1_0
      | hskp10
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl366,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1440,plain,
    ( ( ( c0_1 @ a604 )
      | ~ ( c2_1 @ a604 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c3_1 @ a604 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl630,zip_derived_cl366]) ).

thf('53',plain,
    ( ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c2_1 @ a604 )
    | ( c0_1 @ a604 )
    | ~ ( c3_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl1440]) ).

thf(zip_derived_cl630_021,plain,
    ( ( c3_1 @ a604 )
   <= ( c3_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl55,plain,
    ! [X72: $i,X73: $i] :
      ( ( c0_1 @ X72 )
      | ( c2_1 @ X72 )
      | ~ ( c3_1 @ X72 )
      | ~ ndr1_0
      | ( c3_1 @ X73 )
      | ~ ( c0_1 @ X73 )
      | ~ ( c2_1 @ X73 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl415,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ~ ( c3_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ~ ( c3_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl1702,plain,
    ( ( ( c0_1 @ a604 )
      | ( c2_1 @ a604 ) )
   <= ( ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ~ ( c3_1 @ X72 ) )
      & ( c3_1 @ a604 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl630,zip_derived_cl415]) ).

thf('54',plain,
    ( ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ~ ( c3_1 @ X72 ) )
    | ( c2_1 @ a604 )
    | ( c0_1 @ a604 )
    | ~ ( c3_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl1702]) ).

thf(zip_derived_cl322_022,plain,
    ( ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ~ ( c3_1 @ X32 ) )
   <= ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ~ ( c3_1 @ X32 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a599 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl664,plain,
    ( ~ ( c1_1 @ a599 )
   <= ~ ( c1_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl1036,plain,
    ( ( ~ ( c3_1 @ a599 )
      | ~ ( c0_1 @ a599 ) )
   <= ( ~ ( c1_1 @ a599 )
      & ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ~ ( c3_1 @ X32 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl664]) ).

thf('55',plain,
    ( ~ ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ~ ( c3_1 @ X32 ) )
    | ~ ( c0_1 @ a599 )
    | ~ ( c3_1 @ a599 )
    | ( c1_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl1036]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp8
    | ( c3_1 @ a593 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl686,plain,
    ( ( c3_1 @ a593 )
   <= ( c3_1 @ a593 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl415_023,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ~ ( c3_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ~ ( c3_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl1699,plain,
    ( ( ( c0_1 @ a593 )
      | ( c2_1 @ a593 ) )
   <= ( ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ~ ( c3_1 @ X72 ) )
      & ( c3_1 @ a593 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl686,zip_derived_cl415]) ).

thf('56',plain,
    ( ( c0_1 @ a593 )
    | ( c2_1 @ a593 )
    | ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ~ ( c3_1 @ X72 ) )
    | ~ ( c3_1 @ a593 ) ),
    inference(split,[status(esa)],[zip_derived_cl1699]) ).

thf(zip_derived_cl14,plain,
    ! [X10: $i] :
      ( ( c3_1 @ X10 )
      | ~ ( c0_1 @ X10 )
      | ~ ( c2_1 @ X10 )
      | ~ ndr1_0
      | hskp27
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( hskp8
    | hskp27
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl524_024,plain,
    ( ( c1_1 @ a612 )
   <= ( c1_1 @ a612 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl222,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1067,plain,
    ( ( ~ ( c0_1 @ a612 )
      | ~ ( c3_1 @ a612 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c1_1 @ a612 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl524,zip_derived_cl222]) ).

thf('58',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c0_1 @ a612 )
    | ~ ( c1_1 @ a612 )
    | ~ ( c3_1 @ a612 ) ),
    inference(split,[status(esa)],[zip_derived_cl1067]) ).

thf(zip_derived_cl684_025,plain,
    ( ( c1_1 @ a593 )
   <= ( c1_1 @ a593 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl222_026,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1283,plain,
    ( ( ~ ( c0_1 @ a593 )
      | ~ ( c3_1 @ a593 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c1_1 @ a593 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl222]) ).

thf('59',plain,
    ( ~ ( c0_1 @ a593 )
    | ~ ( c1_1 @ a593 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c3_1 @ a593 ) ),
    inference(split,[status(esa)],[zip_derived_cl1283]) ).

thf(zip_derived_cl31,plain,
    ! [X30: $i,X31: $i] :
      ( ( c1_1 @ X30 )
      | ~ ( c2_1 @ X30 )
      | ~ ( c3_1 @ X30 )
      | ~ ndr1_0
      | ( c3_1 @ X31 )
      | ~ ( c1_1 @ X31 )
      | ~ ( c2_1 @ X31 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('60',plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | hskp28
    | ~ ndr1_0
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl542_027,plain,
    ( ( c1_1 @ a583 )
   <= ( c1_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl214_028,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_cl5]) ).

thf(zip_derived_cl1096,plain,
    ( ( ~ ( c2_1 @ a583 )
      | ~ ( c3_1 @ a583 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a583 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl214]) ).

thf('61',plain,
    ( ~ ( c3_1 @ a583 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a583 )
    | ~ ( c2_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl1096]) ).

thf(zip_derived_cl969_029,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl937]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp29
    | ( c3_1 @ a678 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl520,plain,
    ( ( c3_1 @ a678 )
   <= ( c3_1 @ a678 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl2161,plain,
    ( ~ ( c2_1 @ a678 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
      & ( c3_1 @ a678 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl969,zip_derived_cl520]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp29
    | ( c2_1 @ a678 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl518,plain,
    ( ( c2_1 @ a678 )
   <= ( c2_1 @ a678 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf('62',plain,
    ( ~ ( c2_1 @ a678 )
    | ~ ( c3_1 @ a678 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2161,zip_derived_cl518]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp23
    | ( c3_1 @ a636 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( ( c3_1 @ a636 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp23
    | ~ ( c1_1 @ a636 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( ~ ( c1_1 @ a636 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp28
    | ( c3_1 @ a612 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl528,plain,
    ( ( c3_1 @ a612 )
   <= ( c3_1 @ a612 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl366_030,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1445,plain,
    ( ( ( c0_1 @ a612 )
      | ~ ( c2_1 @ a612 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c3_1 @ a612 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl366]) ).

thf('65',plain,
    ( ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ( c0_1 @ a612 )
    | ~ ( c3_1 @ a612 )
    | ~ ( c2_1 @ a612 ) ),
    inference(split,[status(esa)],[zip_derived_cl1445]) ).

thf(zip_derived_cl9,plain,
    ! [X4: $i,X5: $i] :
      ( ~ ( c0_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ( c3_1 @ X5 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( hskp10
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl528_031,plain,
    ( ( c3_1 @ a612 )
   <= ( c3_1 @ a612 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl218_032,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_cl6]) ).

thf(zip_derived_cl1076,plain,
    ( ( ~ ( c0_1 @ a612 )
      | ~ ( c2_1 @ a612 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a612 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl218]) ).

thf('67',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a612 )
    | ~ ( c2_1 @ a612 )
    | ~ ( c3_1 @ a612 ) ),
    inference(split,[status(esa)],[zip_derived_cl1076]) ).

thf('68',plain,
    ( ( c1_1 @ a612 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl524_033,plain,
    ( ( c1_1 @ a612 )
   <= ( c1_1 @ a612 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl214_034,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_cl5]) ).

thf(zip_derived_cl1066,plain,
    ( ( ~ ( c2_1 @ a612 )
      | ~ ( c3_1 @ a612 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a612 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl524,zip_derived_cl214]) ).

thf('69',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a612 )
    | ~ ( c2_1 @ a612 )
    | ~ ( c3_1 @ a612 ) ),
    inference(split,[status(esa)],[zip_derived_cl1066]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp28
    | ( c2_1 @ a612 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('70',plain,
    ( ( c2_1 @ a612 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf('71',plain,
    ( ( c3_1 @ a612 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf('72',plain,
    ( hskp28
    | ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ~ ( c3_1 @ X72 ) )
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp10
    | ( c3_1 @ a598 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl670,plain,
    ( ( c3_1 @ a598 )
   <= ( c3_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl218_035,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_cl6]) ).

thf(zip_derived_cl1272,plain,
    ( ( ~ ( c0_1 @ a598 )
      | ~ ( c2_1 @ a598 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a598 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl670,zip_derived_cl218]) ).

thf('73',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c2_1 @ a598 )
    | ~ ( c3_1 @ a598 )
    | ~ ( c0_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl1272]) ).

thf('74',plain,
    ( hskp4
    | hskp10
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp4
    | ( c0_1 @ a588 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('75',plain,
    ( ( c0_1 @ a588 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf('76',plain,
    ( ~ ( c1_1 @ a588 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a588 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ~ ( c2_1 @ a588 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl346_036,plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl718_037,plain,
    ( ~ ( c1_1 @ a588 )
   <= ~ ( c1_1 @ a588 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl1399,plain,
    ( ( ~ ( c0_1 @ a588 )
      | ( c2_1 @ a588 ) )
   <= ( ~ ( c1_1 @ a588 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl346,zip_derived_cl718]) ).

thf('78',plain,
    ( ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) )
    | ( c1_1 @ a588 )
    | ( c2_1 @ a588 )
    | ~ ( c0_1 @ a588 ) ),
    inference(split,[status(esa)],[zip_derived_cl1399]) ).

thf(zip_derived_cl53,plain,
    ! [X67: $i,X68: $i] :
      ( ( c0_1 @ X67 )
      | ( c3_1 @ X67 )
      | ~ ( c2_1 @ X67 )
      | ~ ndr1_0
      | ( c1_1 @ X68 )
      | ( c2_1 @ X68 )
      | ~ ( c0_1 @ X68 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( hskp14
    | ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c2_1 @ X66 ) )
    | ~ ndr1_0
    | ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl37,plain,
    ! [X41: $i,X42: $i] :
      ( ( c1_1 @ X41 )
      | ( c2_1 @ X41 )
      | ~ ( c3_1 @ X41 )
      | ~ ndr1_0
      | ( c1_1 @ X42 )
      | ( c3_1 @ X42 )
      | ~ ( c0_1 @ X42 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl342,plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c3_1 @ X42 )
        | ~ ( c0_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c3_1 @ X42 )
        | ~ ( c0_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl638_038,plain,
    ( ~ ( c1_1 @ a603 )
   <= ~ ( c1_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1314,plain,
    ( ( ~ ( c0_1 @ a603 )
      | ( c3_1 @ a603 ) )
   <= ( ~ ( c1_1 @ a603 )
      & ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c3_1 @ X42 )
          | ~ ( c0_1 @ X42 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl342,zip_derived_cl638]) ).

thf('80',plain,
    ( ~ ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c3_1 @ X42 )
          | ~ ( c0_1 @ X42 ) )
    | ( c1_1 @ a603 )
    | ( c3_1 @ a603 )
    | ~ ( c0_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl1314]) ).

thf('81',plain,
    ( hskp3
    | ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
    | ~ ndr1_0
    | ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c3_1 @ X42 )
        | ~ ( c0_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp11
    | ( c3_1 @ a599 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl662,plain,
    ( ( c3_1 @ a599 )
   <= ( c3_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl366_039,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1439,plain,
    ( ( ( c0_1 @ a599 )
      | ~ ( c2_1 @ a599 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c3_1 @ a599 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl662,zip_derived_cl366]) ).

thf('82',plain,
    ( ( c0_1 @ a599 )
    | ~ ( c3_1 @ a599 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c2_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl1439]) ).

thf('83',plain,
    ( hskp3
    | hskp17
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp7
    | ( c2_1 @ a592 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( ( c2_1 @ a592 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp7
    | ~ ( c0_1 @ a592 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('85',plain,
    ( ~ ( c0_1 @ a592 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp7
    | ~ ( c3_1 @ a592 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( ~ ( c3_1 @ a592 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl52,plain,
    ! [X66: $i] :
      ( ( c0_1 @ X66 )
      | ( c3_1 @ X66 )
      | ~ ( c2_1 @ X66 )
      | ~ ndr1_0
      | hskp8
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl402,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c2_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c2_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl696,plain,
    ( ~ ( c3_1 @ a592 )
   <= ~ ( c3_1 @ a592 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl1774,plain,
    ( ( ~ ( c2_1 @ a592 )
      | ( c0_1 @ a592 ) )
   <= ( ~ ( c3_1 @ a592 )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c3_1 @ X66 )
          | ~ ( c2_1 @ X66 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl696]) ).

thf('87',plain,
    ( ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c3_1 @ X66 )
          | ~ ( c2_1 @ X66 ) )
    | ( c0_1 @ a592 )
    | ( c3_1 @ a592 )
    | ~ ( c2_1 @ a592 ) ),
    inference(split,[status(esa)],[zip_derived_cl1774]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp2
    | ~ ( c3_1 @ a586 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl736,plain,
    ( ~ ( c3_1 @ a586 )
   <= ~ ( c3_1 @ a586 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl12,plain,
    ! [X8: $i] :
      ( ( c3_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ( c2_1 @ X8 )
      | ~ ndr1_0
      | hskp7
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl242,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl860,plain,
    ( ( ~ ( c0_1 @ a586 )
      | ~ ( c2_1 @ a586 ) )
   <= ( ~ ( c3_1 @ a586 )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl242]) ).

thf('88',plain,
    ( ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ~ ( c0_1 @ a586 )
    | ( c3_1 @ a586 )
    | ~ ( c2_1 @ a586 ) ),
    inference(split,[status(esa)],[zip_derived_cl860]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp2
    | ( c2_1 @ a586 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('89',plain,
    ( ( c2_1 @ a586 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf('90',plain,
    ( ~ ( c3_1 @ a586 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl402_040,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c2_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c2_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl736_041,plain,
    ( ~ ( c3_1 @ a586 )
   <= ~ ( c3_1 @ a586 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl1771,plain,
    ( ( ~ ( c2_1 @ a586 )
      | ( c0_1 @ a586 ) )
   <= ( ~ ( c3_1 @ a586 )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c3_1 @ X66 )
          | ~ ( c2_1 @ X66 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl736]) ).

thf('91',plain,
    ( ( c0_1 @ a586 )
    | ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c3_1 @ X66 )
          | ~ ( c2_1 @ X66 ) )
    | ( c3_1 @ a586 )
    | ~ ( c2_1 @ a586 ) ),
    inference(split,[status(esa)],[zip_derived_cl1771]) ).

thf('92',plain,
    ( hskp7
    | hskp2
    | ~ ndr1_0
    | ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl3480,plain,
    ( ( c0_1 @ a599 )
   <= ( c0_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl1439]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp11
    | ( c2_1 @ a599 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl660,plain,
    ( ( c2_1 @ a599 )
   <= ( c2_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl242_042,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl218_043,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_cl6]) ).

thf(zip_derived_cl780,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl218]) ).

thf(zip_derived_cl781,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl780]) ).

thf(zip_derived_cl1264,plain,
    ( ~ ( c0_1 @ a599 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
      & ( c2_1 @ a599 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl660,zip_derived_cl781]) ).

thf('93',plain,
    ( ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ~ ( c0_1 @ a599 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c2_1 @ a599 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3480,zip_derived_cl1264]) ).

thf(zip_derived_cl152,plain,
    ( ~ hskp11
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ndr1_0
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl152]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp3
    | ( c0_1 @ a587 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('95',plain,
    ( ( c0_1 @ a587 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp3
    | ( c2_1 @ a587 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('96',plain,
    ( ( c2_1 @ a587 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl726,plain,
    ( ( c2_1 @ a587 )
   <= ( c2_1 @ a587 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl781_044,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl780]) ).

thf(zip_derived_cl1352,plain,
    ( ~ ( c0_1 @ a587 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
      & ( c2_1 @ a587 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl781]) ).

thf(zip_derived_cl724,plain,
    ( ( c0_1 @ a587 )
   <= ( c0_1 @ a587 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf('97',plain,
    ( ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ~ ( c0_1 @ a587 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c2_1 @ a587 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1352,zip_derived_cl724]) ).

thf(zip_derived_cl346_045,plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl672_046,plain,
    ( ~ ( c1_1 @ a598 )
   <= ~ ( c1_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1401,plain,
    ( ( ~ ( c0_1 @ a598 )
      | ( c2_1 @ a598 ) )
   <= ( ~ ( c1_1 @ a598 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl346,zip_derived_cl672]) ).

thf('98',plain,
    ( ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) )
    | ( c2_1 @ a598 )
    | ~ ( c0_1 @ a598 )
    | ( c1_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl1401]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp12
    | ( c0_1 @ a600 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( ( c0_1 @ a600 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp12
    | ( c2_1 @ a600 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('100',plain,
    ( ( c2_1 @ a600 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp12
    | ~ ( c3_1 @ a600 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( ~ ( c3_1 @ a600 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl656,plain,
    ( ~ ( c3_1 @ a600 )
   <= ~ ( c3_1 @ a600 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl242_047,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl838,plain,
    ( ( ~ ( c0_1 @ a600 )
      | ~ ( c2_1 @ a600 ) )
   <= ( ~ ( c3_1 @ a600 )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl656,zip_derived_cl242]) ).

thf('102',plain,
    ( ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ~ ( c0_1 @ a600 )
    | ( c3_1 @ a600 )
    | ~ ( c2_1 @ a600 ) ),
    inference(split,[status(esa)],[zip_derived_cl838]) ).

thf(zip_derived_cl362_048,plain,
    ( ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ~ ( c0_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ~ ( c0_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl672_049,plain,
    ( ~ ( c1_1 @ a598 )
   <= ~ ( c1_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1564,plain,
    ( ( ~ ( c2_1 @ a598 )
      | ~ ( c0_1 @ a598 ) )
   <= ( ~ ( c1_1 @ a598 )
      & ! [X49: $i] :
          ( ( c1_1 @ X49 )
          | ~ ( c0_1 @ X49 )
          | ~ ( c2_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl672]) ).

thf('103',plain,
    ( ~ ! [X49: $i] :
          ( ( c1_1 @ X49 )
          | ~ ( c0_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c2_1 @ a598 )
    | ~ ( c0_1 @ a598 )
    | ( c1_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl1564]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp17
    | ( c3_1 @ a607 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( ( c3_1 @ a607 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf('105',plain,
    ( ~ ( c1_1 @ a607 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a607 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('106',plain,
    ( ~ ( c2_1 @ a607 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl335_050,plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl614_051,plain,
    ( ~ ( c1_1 @ a607 )
   <= ~ ( c1_1 @ a607 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl1218,plain,
    ( ( ~ ( c3_1 @ a607 )
      | ( c2_1 @ a607 ) )
   <= ( ~ ( c1_1 @ a607 )
      & ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl335,zip_derived_cl614]) ).

thf('107',plain,
    ( ~ ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
    | ( c1_1 @ a607 )
    | ( c2_1 @ a607 )
    | ~ ( c3_1 @ a607 ) ),
    inference(split,[status(esa)],[zip_derived_cl1218]) ).

thf(zip_derived_cl335_052,plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl672_053,plain,
    ( ~ ( c1_1 @ a598 )
   <= ~ ( c1_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1214,plain,
    ( ( ~ ( c3_1 @ a598 )
      | ( c2_1 @ a598 ) )
   <= ( ~ ( c1_1 @ a598 )
      & ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl335,zip_derived_cl672]) ).

thf('108',plain,
    ( ( c2_1 @ a598 )
    | ~ ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
    | ( c1_1 @ a598 )
    | ~ ( c3_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl1214]) ).

thf(zip_derived_cl36,plain,
    ! [X38: $i,X39: $i,X40: $i] :
      ( ( c1_1 @ X38 )
      | ( c2_1 @ X38 )
      | ~ ( c3_1 @ X38 )
      | ~ ndr1_0
      | ( c2_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ~ ( c1_1 @ X39 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X40 )
      | ~ ( c2_1 @ X40 )
      | ~ ( c3_1 @ X40 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('109',plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 ) )
    | ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp5
    | ( c0_1 @ a589 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('110',plain,
    ( ( c0_1 @ a589 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp5
    | ~ ( c2_1 @ a589 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('111',plain,
    ( ~ ( c2_1 @ a589 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp5
    | ( c1_1 @ a589 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl710,plain,
    ( ( c1_1 @ a589 )
   <= ( c1_1 @ a589 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl23,plain,
    ! [X20: $i] :
      ( ( c2_1 @ X20 )
      | ~ ( c0_1 @ X20 )
      | ~ ( c1_1 @ X20 )
      | ~ ndr1_0
      | hskp0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl286,plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1346,plain,
    ( ( ( c2_1 @ a589 )
      | ~ ( c0_1 @ a589 ) )
   <= ( ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 ) )
      & ( c1_1 @ a589 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl710,zip_derived_cl286]) ).

thf('112',plain,
    ( ~ ( c0_1 @ a589 )
    | ( c2_1 @ a589 )
    | ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 ) )
    | ~ ( c1_1 @ a589 ) ),
    inference(split,[status(esa)],[zip_derived_cl1346]) ).

thf('113',plain,
    ( ( c1_1 @ a589 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl73,plain,
    ! [X104: $i] :
      ( ( c0_1 @ X104 )
      | ( c1_1 @ X104 )
      | ~ ( c2_1 @ X104 )
      | ~ ndr1_0
      | hskp5
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('114',plain,
    ( ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) )
    | hskp6
    | ~ ndr1_0
    | hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl482_054,plain,
    ( ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) )
   <= ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a595 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl678,plain,
    ( ~ ( c1_1 @ a595 )
   <= ~ ( c1_1 @ a595 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl1966,plain,
    ( ( ~ ( c2_1 @ a595 )
      | ( c0_1 @ a595 ) )
   <= ( ~ ( c1_1 @ a595 )
      & ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl678]) ).

thf('115',plain,
    ( ~ ( c2_1 @ a595 )
    | ( c0_1 @ a595 )
    | ~ ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) )
    | ( c1_1 @ a595 ) ),
    inference(split,[status(esa)],[zip_derived_cl1966]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp9
    | ~ ( c0_1 @ a595 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( ~ ( c0_1 @ a595 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf('117',plain,
    ( ~ ( c1_1 @ a595 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp9
    | ~ ( c3_1 @ a595 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('118',plain,
    ( ~ ( c3_1 @ a595 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl438_055,plain,
    ( ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c2_1 @ X83 )
        | ( c3_1 @ X83 ) )
   <= ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c2_1 @ X83 )
        | ( c3_1 @ X83 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl680,plain,
    ( ~ ( c3_1 @ a595 )
   <= ~ ( c3_1 @ a595 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1909,plain,
    ( ( ( c2_1 @ a595 )
      | ( c0_1 @ a595 ) )
   <= ( ~ ( c3_1 @ a595 )
      & ! [X83: $i] :
          ( ( c0_1 @ X83 )
          | ( c2_1 @ X83 )
          | ( c3_1 @ X83 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl680]) ).

thf('119',plain,
    ( ( c2_1 @ a595 )
    | ( c0_1 @ a595 )
    | ~ ! [X83: $i] :
          ( ( c0_1 @ X83 )
          | ( c2_1 @ X83 )
          | ( c3_1 @ X83 ) )
    | ( c3_1 @ a595 ) ),
    inference(split,[status(esa)],[zip_derived_cl1909]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp25
    | ~ ( c3_1 @ a651 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('120',plain,
    ( ~ ( c3_1 @ a651 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl552,plain,
    ( ~ ( c3_1 @ a651 )
   <= ~ ( c3_1 @ a651 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl242_056,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl792,plain,
    ( ( ~ ( c0_1 @ a651 )
      | ~ ( c2_1 @ a651 ) )
   <= ( ~ ( c3_1 @ a651 )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl552,zip_derived_cl242]) ).

thf('121',plain,
    ( ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ~ ( c0_1 @ a651 )
    | ~ ( c2_1 @ a651 )
    | ( c3_1 @ a651 ) ),
    inference(split,[status(esa)],[zip_derived_cl792]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp25
    | ( c2_1 @ a651 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( ( c2_1 @ a651 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp25
    | ~ ( c1_1 @ a651 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( ~ ( c1_1 @ a651 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl482_057,plain,
    ( ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) )
   <= ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl550,plain,
    ( ~ ( c1_1 @ a651 )
   <= ~ ( c1_1 @ a651 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl1975,plain,
    ( ( ~ ( c2_1 @ a651 )
      | ( c0_1 @ a651 ) )
   <= ( ~ ( c1_1 @ a651 )
      & ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl550]) ).

thf('124',plain,
    ( ( c0_1 @ a651 )
    | ( c1_1 @ a651 )
    | ~ ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) )
    | ~ ( c2_1 @ a651 ) ),
    inference(split,[status(esa)],[zip_derived_cl1975]) ).

thf(zip_derived_cl25,plain,
    ! [X22: $i] :
      ( ( c2_1 @ X22 )
      | ( c3_1 @ X22 )
      | ~ ( c1_1 @ X22 )
      | ~ ndr1_0
      | hskp25
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('125',plain,
    ( hskp25
    | ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) )
    | hskp9
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf('126',plain,
    ( ( c1_1 @ a606 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp16
    | ~ ( c2_1 @ a606 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('127',plain,
    ( ~ ( c2_1 @ a606 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp16
    | ~ ( c3_1 @ a606 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( ~ ( c3_1 @ a606 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl44,plain,
    ! [X51: $i,X52: $i] :
      ( ( c0_1 @ X51 )
      | ~ ( c2_1 @ X51 )
      | ~ ( c3_1 @ X51 )
      | ~ ndr1_0
      | ( c2_1 @ X52 )
      | ( c3_1 @ X52 )
      | ~ ( c0_1 @ X52 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('129',plain,
    ( hskp16
    | ! [X26: $i] :
        ( ( c2_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) )
    | ~ ndr1_0
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp6
    | ( c2_1 @ a590 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('130',plain,
    ( ( c2_1 @ a590 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp6
    | ( c3_1 @ a590 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( ( c3_1 @ a590 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp6
    | ~ ( c0_1 @ a590 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( ~ ( c0_1 @ a590 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl702,plain,
    ( ( c3_1 @ a590 )
   <= ( c3_1 @ a590 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl366_058,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1436,plain,
    ( ( ( c0_1 @ a590 )
      | ~ ( c2_1 @ a590 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c3_1 @ a590 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl366]) ).

thf('133',plain,
    ( ~ ( c2_1 @ a590 )
    | ( c0_1 @ a590 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c3_1 @ a590 ) ),
    inference(split,[status(esa)],[zip_derived_cl1436]) ).

thf('134',plain,
    ( hskp6
    | ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
    | ~ ndr1_0
    | hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl572_059,plain,
    ( ( c1_1 @ a633 )
   <= ( c1_1 @ a633 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl390_060,plain,
    ( ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c2_1 @ X60 ) )
   <= ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c2_1 @ X60 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl1520,plain,
    ( ( ( c0_1 @ a633 )
      | ~ ( c2_1 @ a633 ) )
   <= ( ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ~ ( c1_1 @ X60 )
          | ~ ( c2_1 @ X60 ) )
      & ( c1_1 @ a633 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl572,zip_derived_cl390]) ).

thf('135',plain,
    ( ~ ( c2_1 @ a633 )
    | ( c0_1 @ a633 )
    | ~ ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ~ ( c1_1 @ X60 )
          | ~ ( c2_1 @ X60 ) )
    | ~ ( c1_1 @ a633 ) ),
    inference(split,[status(esa)],[zip_derived_cl1520]) ).

thf('136',plain,
    ( ( c1_1 @ a633 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a633 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ~ ( c0_1 @ a633 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a633 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( ~ ( c3_1 @ a633 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl572_061,plain,
    ( ( c1_1 @ a633 )
   <= ( c1_1 @ a633 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl294,plain,
    ( ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1172,plain,
    ( ( ( c2_1 @ a633 )
      | ( c3_1 @ a633 ) )
   <= ( ! [X22: $i] :
          ( ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
      & ( c1_1 @ a633 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl572,zip_derived_cl294]) ).

thf('139',plain,
    ( ( c2_1 @ a633 )
    | ~ ! [X22: $i] :
          ( ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
    | ( c3_1 @ a633 )
    | ~ ( c1_1 @ a633 ) ),
    inference(split,[status(esa)],[zip_derived_cl1172]) ).

thf(zip_derived_cl620_062,plain,
    ( ( c1_1 @ a606 )
   <= ( c1_1 @ a606 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl294_063,plain,
    ( ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1198,plain,
    ( ( ( c2_1 @ a606 )
      | ( c3_1 @ a606 ) )
   <= ( ! [X22: $i] :
          ( ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
      & ( c1_1 @ a606 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl620,zip_derived_cl294]) ).

thf('140',plain,
    ( ~ ! [X22: $i] :
          ( ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
    | ( c2_1 @ a606 )
    | ( c3_1 @ a606 )
    | ~ ( c1_1 @ a606 ) ),
    inference(split,[status(esa)],[zip_derived_cl1198]) ).

thf(zip_derived_cl67,plain,
    ! [X93: $i,X94: $i,X95: $i] :
      ( ( c0_1 @ X93 )
      | ( c2_1 @ X93 )
      | ( c3_1 @ X93 )
      | ~ ndr1_0
      | ( c0_1 @ X94 )
      | ~ ( c1_1 @ X94 )
      | ~ ( c3_1 @ X94 )
      | ~ ndr1_0
      | ( c1_1 @ X95 )
      | ( c2_1 @ X95 )
      | ~ ( c0_1 @ X95 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('141',plain,
    ( ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c2_1 @ X83 )
        | ( c3_1 @ X83 ) )
    | ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
    | ~ ndr1_0
    | ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c3_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl628_064,plain,
    ( ( c1_1 @ a604 )
   <= ( c1_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl426_065,plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ~ ( c1_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ~ ( c1_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl1744,plain,
    ( ( ( c0_1 @ a604 )
      | ( c2_1 @ a604 ) )
   <= ( ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ~ ( c1_1 @ X78 ) )
      & ( c1_1 @ a604 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl426]) ).

thf('142',plain,
    ( ~ ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ~ ( c1_1 @ X78 ) )
    | ( c2_1 @ a604 )
    | ( c0_1 @ a604 )
    | ~ ( c1_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl1744]) ).

thf(zip_derived_cl362_066,plain,
    ( ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ~ ( c0_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ~ ( c0_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl664_067,plain,
    ( ~ ( c1_1 @ a599 )
   <= ~ ( c1_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl1565,plain,
    ( ( ~ ( c2_1 @ a599 )
      | ~ ( c0_1 @ a599 ) )
   <= ( ~ ( c1_1 @ a599 )
      & ! [X49: $i] :
          ( ( c1_1 @ X49 )
          | ~ ( c0_1 @ X49 )
          | ~ ( c2_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl664]) ).

thf('143',plain,
    ( ~ ! [X49: $i] :
          ( ( c1_1 @ X49 )
          | ~ ( c0_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c0_1 @ a599 )
    | ~ ( c2_1 @ a599 )
    | ( c1_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl1565]) ).

thf(zip_derived_cl70,plain,
    ! [X99: $i,X100: $i] :
      ( ( c0_1 @ X99 )
      | ( c1_1 @ X99 )
      | ~ ( c3_1 @ X99 )
      | ~ ndr1_0
      | ( c1_1 @ X100 )
      | ( c2_1 @ X100 )
      | ( c3_1 @ X100 )
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('144',plain,
    ( hskp26
    | ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) )
    | ~ ndr1_0
    | ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c1_1 @ X96 )
        | ~ ( c3_1 @ X96 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf('145',plain,
    ( hskp26
    | ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) )
    | ~ ndr1_0
    | ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ~ ( c0_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl466_068,plain,
    ( ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c1_1 @ X96 )
        | ~ ( c3_1 @ X96 ) )
   <= ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c1_1 @ X96 )
        | ~ ( c3_1 @ X96 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(zip_derived_cl664_069,plain,
    ( ~ ( c1_1 @ a599 )
   <= ~ ( c1_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl1856,plain,
    ( ( ~ ( c3_1 @ a599 )
      | ( c0_1 @ a599 ) )
   <= ( ~ ( c1_1 @ a599 )
      & ! [X96: $i] :
          ( ( c0_1 @ X96 )
          | ( c1_1 @ X96 )
          | ~ ( c3_1 @ X96 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl664]) ).

thf('146',plain,
    ( ( c0_1 @ a599 )
    | ~ ! [X96: $i] :
          ( ( c0_1 @ X96 )
          | ( c1_1 @ X96 )
          | ~ ( c3_1 @ X96 ) )
    | ( c1_1 @ a599 )
    | ~ ( c3_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl1856]) ).

thf(zip_derived_cl346_070,plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl638_071,plain,
    ( ~ ( c1_1 @ a603 )
   <= ~ ( c1_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1404,plain,
    ( ( ~ ( c0_1 @ a603 )
      | ( c2_1 @ a603 ) )
   <= ( ~ ( c1_1 @ a603 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl346,zip_derived_cl638]) ).

thf('147',plain,
    ( ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) )
    | ( c2_1 @ a603 )
    | ( c1_1 @ a603 )
    | ~ ( c0_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl1404]) ).

thf(zip_derived_cl363_072,plain,
    ( ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) )
   <= ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl638_073,plain,
    ( ~ ( c1_1 @ a603 )
   <= ~ ( c1_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1621,plain,
    ( ( ( c3_1 @ a603 )
      | ( c2_1 @ a603 ) )
   <= ( ~ ( c1_1 @ a603 )
      & ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ( c2_1 @ X48 )
          | ( c3_1 @ X48 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl638]) ).

thf('148',plain,
    ( ~ ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ( c2_1 @ X48 )
          | ( c3_1 @ X48 ) )
    | ( c2_1 @ a603 )
    | ( c1_1 @ a603 )
    | ( c3_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl1621]) ).

thf(zip_derived_cl28,plain,
    ! [X26: $i] :
      ( ( c2_1 @ X26 )
      | ( c3_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ndr1_0
      | hskp3
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl306,plain,
    ( ! [X26: $i] :
        ( ( c2_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c2_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp14
    | ~ ( c3_1 @ a603 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl640,plain,
    ( ~ ( c3_1 @ a603 )
   <= ~ ( c3_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl893,plain,
    ( ( ~ ( c0_1 @ a603 )
      | ( c2_1 @ a603 ) )
   <= ( ~ ( c3_1 @ a603 )
      & ! [X26: $i] :
          ( ( c2_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl640]) ).

thf('149',plain,
    ( ~ ! [X26: $i] :
          ( ( c2_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) )
    | ( c2_1 @ a603 )
    | ( c3_1 @ a603 )
    | ~ ( c0_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl893]) ).

thf(zip_derived_cl640_074,plain,
    ( ~ ( c3_1 @ a603 )
   <= ~ ( c3_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl242_075,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl832,plain,
    ( ( ~ ( c0_1 @ a603 )
      | ~ ( c2_1 @ a603 ) )
   <= ( ~ ( c3_1 @ a603 )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl640,zip_derived_cl242]) ).

thf('150',plain,
    ( ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ~ ( c2_1 @ a603 )
    | ~ ( c0_1 @ a603 )
    | ( c3_1 @ a603 ) ),
    inference(split,[status(esa)],[zip_derived_cl832]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp14
    | ( c0_1 @ a603 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('151',plain,
    ( ( c0_1 @ a603 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf('152',plain,
    ( ~ ( c1_1 @ a603 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf('153',plain,
    ( ~ ( c3_1 @ a603 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl18,plain,
    ! [X14: $i,X15: $i] :
      ( ( c2_1 @ X14 )
      | ~ ( c1_1 @ X14 )
      | ~ ( c3_1 @ X14 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X15 )
      | ~ ( c2_1 @ X15 )
      | ~ ( c3_1 @ X15 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('154',plain,
    ( hskp14
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf('155',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
    | ( c2_1 @ a604 )
    | ~ ( c3_1 @ a604 )
    | ~ ( c1_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl1247]) ).

thf(zip_derived_cl33,plain,
    ! [X33: $i,X34: $i] :
      ( ( c1_1 @ X33 )
      | ~ ( c0_1 @ X33 )
      | ~ ( c3_1 @ X33 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X34 )
      | ~ ( c1_1 @ X34 )
      | ~ ( c3_1 @ X34 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('156',plain,
    ( hskp15
    | ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ~ ( c3_1 @ X32 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl322_076,plain,
    ( ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ~ ( c3_1 @ X32 ) )
   <= ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ~ ( c3_1 @ X32 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl672_077,plain,
    ( ~ ( c1_1 @ a598 )
   <= ~ ( c1_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1035,plain,
    ( ( ~ ( c3_1 @ a598 )
      | ~ ( c0_1 @ a598 ) )
   <= ( ~ ( c1_1 @ a598 )
      & ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ~ ( c3_1 @ X32 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl672]) ).

thf('157',plain,
    ( ~ ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ~ ( c3_1 @ X32 ) )
    | ~ ( c3_1 @ a598 )
    | ( c1_1 @ a598 )
    | ~ ( c0_1 @ a598 ) ),
    inference(split,[status(esa)],[zip_derived_cl1035]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp10
    | ( c0_1 @ a598 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('158',plain,
    ( ( c0_1 @ a598 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf('159',plain,
    ( ( c3_1 @ a598 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf('160',plain,
    ( ~ ( c1_1 @ a598 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl50,plain,
    ! [X61: $i,X62: $i] :
      ( ( c0_1 @ X61 )
      | ~ ( c1_1 @ X61 )
      | ~ ( c2_1 @ X61 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X62 )
      | ~ ( c1_1 @ X62 )
      | ~ ( c2_1 @ X62 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('161',plain,
    ( hskp12
    | ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c2_1 @ X60 ) )
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf('162',plain,
    ( hskp12
    | hskp10
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp26
    | ( c2_1 @ a583 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl544,plain,
    ( ( c2_1 @ a583 )
   <= ( c2_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl781_078,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl780]) ).

thf(zip_derived_cl1104,plain,
    ( ~ ( c0_1 @ a583 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
      & ( c2_1 @ a583 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl544,zip_derived_cl781]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp26
    | ( c0_1 @ a583 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl540,plain,
    ( ( c0_1 @ a583 )
   <= ( c0_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf('163',plain,
    ( ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ~ ( c0_1 @ a583 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c2_1 @ a583 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1104,zip_derived_cl540]) ).

thf(zip_derived_cl542_079,plain,
    ( ( c1_1 @ a583 )
   <= ( c1_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl222_080,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1097,plain,
    ( ( ~ ( c0_1 @ a583 )
      | ~ ( c3_1 @ a583 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c1_1 @ a583 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl222]) ).

thf('164',plain,
    ( ~ ( c3_1 @ a583 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c1_1 @ a583 )
    | ~ ( c0_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl1097]) ).

thf(zip_derived_cl2001,plain,
    ( ~ ( c3_1 @ a583 )
   <= ~ ( c3_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl1096]) ).

thf(zip_derived_cl242_081,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl2003,plain,
    ( ( ~ ( c0_1 @ a583 )
      | ~ ( c2_1 @ a583 ) )
   <= ( ~ ( c3_1 @ a583 )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2001,zip_derived_cl242]) ).

thf('165',plain,
    ( ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ( c3_1 @ a583 )
    | ~ ( c2_1 @ a583 )
    | ~ ( c0_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl2003]) ).

thf(zip_derived_cl4,plain,
    ( hskp26
    | hskp12
    | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( hskp12
    | hskp8
    | hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf('167',plain,
    ( ( c1_1 @ a593 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf('168',plain,
    ( ( c3_1 @ a593 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp8
    | ~ ( c2_1 @ a593 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('169',plain,
    ( ~ ( c2_1 @ a593 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl684_082,plain,
    ( ( c1_1 @ a593 )
   <= ( c1_1 @ a593 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl262_083,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1287,plain,
    ( ( ( c2_1 @ a593 )
      | ~ ( c3_1 @ a593 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ( c1_1 @ a593 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl262]) ).

thf('170',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
    | ( c2_1 @ a593 )
    | ~ ( c1_1 @ a593 )
    | ~ ( c3_1 @ a593 ) ),
    inference(split,[status(esa)],[zip_derived_cl1287]) ).

thf(zip_derived_cl628_084,plain,
    ( ( c1_1 @ a604 )
   <= ( c1_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl390_085,plain,
    ( ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c2_1 @ X60 ) )
   <= ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c2_1 @ X60 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl1518,plain,
    ( ( ( c0_1 @ a604 )
      | ~ ( c2_1 @ a604 ) )
   <= ( ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ~ ( c1_1 @ X60 )
          | ~ ( c2_1 @ X60 ) )
      & ( c1_1 @ a604 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl390]) ).

thf('171',plain,
    ( ~ ( c2_1 @ a604 )
    | ~ ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ~ ( c1_1 @ X60 )
          | ~ ( c2_1 @ X60 ) )
    | ( c0_1 @ a604 )
    | ~ ( c1_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl1518]) ).

thf(zip_derived_cl59,plain,
    ! [X79: $i,X80: $i] :
      ( ( c0_1 @ X79 )
      | ( c2_1 @ X79 )
      | ~ ( c1_1 @ X79 )
      | ~ ndr1_0
      | ( c1_1 @ X80 )
      | ~ ( c0_1 @ X80 )
      | ~ ( c2_1 @ X80 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('172',plain,
    ( hskp17
    | ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ~ ( c0_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
    | ~ ndr1_0
    | ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ~ ( c1_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl628_086,plain,
    ( ( c1_1 @ a604 )
   <= ( c1_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl374_087,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c3_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c3_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1466,plain,
    ( ( ( c0_1 @ a604 )
      | ~ ( c3_1 @ a604 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c3_1 @ X53 ) )
      & ( c1_1 @ a604 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl374]) ).

thf('173',plain,
    ( ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c3_1 @ X53 ) )
    | ( c0_1 @ a604 )
    | ~ ( c3_1 @ a604 )
    | ~ ( c1_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl1466]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp18
    | ( c3_1 @ a610 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl604,plain,
    ( ( c3_1 @ a610 )
   <= ( c3_1 @ a610 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl415_088,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ~ ( c3_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ~ ( c3_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl1704,plain,
    ( ( ( c0_1 @ a610 )
      | ( c2_1 @ a610 ) )
   <= ( ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ~ ( c3_1 @ X72 ) )
      & ( c3_1 @ a610 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl604,zip_derived_cl415]) ).

thf('174',plain,
    ( ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ~ ( c3_1 @ X72 ) )
    | ( c0_1 @ a610 )
    | ( c2_1 @ a610 )
    | ~ ( c3_1 @ a610 ) ),
    inference(split,[status(esa)],[zip_derived_cl1704]) ).

thf('175',plain,
    ( ( c1_1 @ a604 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf('176',plain,
    ( ( c3_1 @ a604 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp15
    | ~ ( c0_1 @ a604 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('177',plain,
    ( ~ ( c0_1 @ a604 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf('178',plain,
    ( ( c3_1 @ a610 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp18
    | ~ ( c0_1 @ a610 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('179',plain,
    ( ~ ( c0_1 @ a610 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a610 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('180',plain,
    ( ~ ( c2_1 @ a610 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl11,plain,
    ! [X7: $i] :
      ( ( c3_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ( c2_1 @ X7 )
      | ~ ndr1_0
      | hskp29
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('181',plain,
    ( hskp29
    | hskp15
    | ~ ndr1_0
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf('182',plain,
    ( hskp18
    | hskp29
    | ~ ndr1_0
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl80,plain,
    ( ~ hskp29
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('183',plain,
    ( ndr1_0
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl80]) ).

thf(zip_derived_cl128,plain,
    ( ~ hskp17
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('184',plain,
    ( ndr1_0
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl128]) ).

thf(zip_derived_cl168,plain,
    ( ~ hskp7
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('185',plain,
    ( ndr1_0
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl168]) ).

thf(zip_derived_cl1,plain,
    ( hskp29
    | hskp7
    | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('186',plain,
    ( hskp7
    | hskp29
    | hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl542_089,plain,
    ( ( c1_1 @ a583 )
   <= ( c1_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl234_090,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1099,plain,
    ( ( ( c3_1 @ a583 )
      | ~ ( c2_1 @ a583 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c1_1 @ a583 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl234]) ).

thf('187',plain,
    ( ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ( c3_1 @ a583 )
    | ~ ( c1_1 @ a583 )
    | ~ ( c2_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl1099]) ).

thf(zip_derived_cl3605,plain,
    ( ( c3_1 @ a583 )
   <= ( c3_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl1099]) ).

thf(zip_derived_cl218_091,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_cl6]) ).

thf(zip_derived_cl3619,plain,
    ( ( ~ ( c0_1 @ a583 )
      | ~ ( c2_1 @ a583 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a583 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3605,zip_derived_cl218]) ).

thf('188',plain,
    ( ~ ( c3_1 @ a583 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a583 )
    | ~ ( c2_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl3619]) ).

thf(zip_derived_cl542_092,plain,
    ( ( c1_1 @ a583 )
   <= ( c1_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl231,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1098,plain,
    ( ( ~ ( c0_1 @ a583 )
      | ~ ( c2_1 @ a583 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ( c1_1 @ a583 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl231]) ).

thf('189',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c1_1 @ a583 )
    | ~ ( c2_1 @ a583 )
    | ~ ( c0_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl1098]) ).

thf('190',plain,
    ( ( c0_1 @ a583 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf('191',plain,
    ( ( c1_1 @ a583 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf('192',plain,
    ( ( c2_1 @ a583 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl3,plain,
    ( hskp26
    | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('193',plain,
    ( hskp26
    | hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl482_093,plain,
    ( ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) )
   <= ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl664_094,plain,
    ( ~ ( c1_1 @ a599 )
   <= ~ ( c1_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl1968,plain,
    ( ( ~ ( c2_1 @ a599 )
      | ( c0_1 @ a599 ) )
   <= ( ~ ( c1_1 @ a599 )
      & ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl664]) ).

thf('194',plain,
    ( ( c0_1 @ a599 )
    | ( c1_1 @ a599 )
    | ~ ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) )
    | ~ ( c2_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl1968]) ).

thf(zip_derived_cl662_095,plain,
    ( ( c3_1 @ a599 )
   <= ( c3_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl218_096,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_cl6]) ).

thf(zip_derived_cl1268,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_cl662,zip_derived_cl218]) ).

thf('195',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a599 )
    | ~ ( c3_1 @ a599 )
    | ~ ( c2_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl1268]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp29
    | ( c0_1 @ a678 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('196',plain,
    ( ~ hskp29
    | ( c0_1 @ a678 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('197',plain,
    ( ( c2_1 @ a678 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf('198',plain,
    ( ( c3_1 @ a678 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl520_097,plain,
    ( ( c3_1 @ a678 )
   <= ( c3_1 @ a678 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl218_098,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_cl6]) ).

thf(zip_derived_cl1064,plain,
    ( ( ~ ( c0_1 @ a678 )
      | ~ ( c2_1 @ a678 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a678 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl218]) ).

thf('199',plain,
    ( ~ ( c0_1 @ a678 )
    | ~ ( c2_1 @ a678 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a678 ) ),
    inference(split,[status(esa)],[zip_derived_cl1064]) ).

thf(zip_derived_cl438_099,plain,
    ( ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c2_1 @ X83 )
        | ( c3_1 @ X83 ) )
   <= ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c2_1 @ X83 )
        | ( c3_1 @ X83 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl624,plain,
    ( ~ ( c3_1 @ a606 )
   <= ~ ( c3_1 @ a606 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl1915,plain,
    ( ( ( c2_1 @ a606 )
      | ( c0_1 @ a606 ) )
   <= ( ~ ( c3_1 @ a606 )
      & ! [X83: $i] :
          ( ( c0_1 @ X83 )
          | ( c2_1 @ X83 )
          | ( c3_1 @ X83 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl624]) ).

thf('200',plain,
    ( ( c0_1 @ a606 )
    | ( c2_1 @ a606 )
    | ~ ! [X83: $i] :
          ( ( c0_1 @ X83 )
          | ( c2_1 @ X83 )
          | ( c3_1 @ X83 ) )
    | ( c3_1 @ a606 ) ),
    inference(split,[status(esa)],[zip_derived_cl1915]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp27
    | ( c0_1 @ a611 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('201',plain,
    ( ( c0_1 @ a611 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp27
    | ( c1_1 @ a611 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('202',plain,
    ( ( c1_1 @ a611 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp27
    | ( c3_1 @ a611 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('203',plain,
    ( ( c3_1 @ a611 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl534,plain,
    ( ( c1_1 @ a611 )
   <= ( c1_1 @ a611 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl222_100,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1087,plain,
    ( ( ~ ( c0_1 @ a611 )
      | ~ ( c3_1 @ a611 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c1_1 @ a611 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl222]) ).

thf('204',plain,
    ( ~ ( c0_1 @ a611 )
    | ~ ( c1_1 @ a611 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c3_1 @ a611 ) ),
    inference(split,[status(esa)],[zip_derived_cl1087]) ).

thf(zip_derived_cl620_101,plain,
    ( ( c1_1 @ a606 )
   <= ( c1_1 @ a606 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl286_102,plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1197,plain,
    ( ( ( c2_1 @ a606 )
      | ~ ( c0_1 @ a606 ) )
   <= ( ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 ) )
      & ( c1_1 @ a606 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl620,zip_derived_cl286]) ).

thf('205',plain,
    ( ~ ( c0_1 @ a606 )
    | ( c2_1 @ a606 )
    | ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 ) )
    | ~ ( c1_1 @ a606 ) ),
    inference(split,[status(esa)],[zip_derived_cl1197]) ).

thf(zip_derived_cl74,plain,
    ! [X105: $i,X106: $i,X107: $i] :
      ( ( c0_1 @ X105 )
      | ( c1_1 @ X105 )
      | ~ ( c2_1 @ X105 )
      | ~ ndr1_0
      | ( c0_1 @ X106 )
      | ~ ( c2_1 @ X106 )
      | ~ ( c3_1 @ X106 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X107 )
      | ~ ( c1_1 @ X107 )
      | ~ ( c3_1 @ X107 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('206',plain,
    ( ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) )
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf('207',plain,
    ( ( c3_1 @ a599 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl314_103,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl664_104,plain,
    ( ~ ( c1_1 @ a599 )
   <= ~ ( c1_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl949,plain,
    ( ( ~ ( c3_1 @ a599 )
      | ~ ( c2_1 @ a599 ) )
   <= ( ~ ( c1_1 @ a599 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl664]) ).

thf('208',plain,
    ( ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
    | ~ ( c3_1 @ a599 )
    | ( c1_1 @ a599 )
    | ~ ( c2_1 @ a599 ) ),
    inference(split,[status(esa)],[zip_derived_cl949]) ).

thf('209',plain,
    ( ( c2_1 @ a599 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf('210',plain,
    ( ~ ( c1_1 @ a599 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl740_105,plain,
    ( ( c1_1 @ a585 )
   <= ( c1_1 @ a585 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl390_106,plain,
    ( ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c2_1 @ X60 ) )
   <= ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c2_1 @ X60 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl1514,plain,
    ( ( ( c0_1 @ a585 )
      | ~ ( c2_1 @ a585 ) )
   <= ( ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ~ ( c1_1 @ X60 )
          | ~ ( c2_1 @ X60 ) )
      & ( c1_1 @ a585 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl740,zip_derived_cl390]) ).

thf('211',plain,
    ( ~ ( c2_1 @ a585 )
    | ( c0_1 @ a585 )
    | ~ ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ~ ( c1_1 @ X60 )
          | ~ ( c2_1 @ X60 ) )
    | ~ ( c1_1 @ a585 ) ),
    inference(split,[status(esa)],[zip_derived_cl1514]) ).

thf('212',plain,
    ( hskp23
    | hskp11
    | ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ~ ( c3_1 @ X32 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp23
    | ~ ( c0_1 @ a636 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('213',plain,
    ( ~ ( c0_1 @ a636 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl466_107,plain,
    ( ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c1_1 @ X96 )
        | ~ ( c3_1 @ X96 ) )
   <= ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c1_1 @ X96 )
        | ~ ( c3_1 @ X96 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(zip_derived_cl568,plain,
    ( ~ ( c1_1 @ a636 )
   <= ~ ( c1_1 @ a636 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl1862,plain,
    ( ( ~ ( c3_1 @ a636 )
      | ( c0_1 @ a636 ) )
   <= ( ~ ( c1_1 @ a636 )
      & ! [X96: $i] :
          ( ( c0_1 @ X96 )
          | ( c1_1 @ X96 )
          | ~ ( c3_1 @ X96 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl568]) ).

thf('214',plain,
    ( ~ ! [X96: $i] :
          ( ( c0_1 @ X96 )
          | ( c1_1 @ X96 )
          | ~ ( c3_1 @ X96 ) )
    | ( c0_1 @ a636 )
    | ( c1_1 @ a636 )
    | ~ ( c3_1 @ a636 ) ),
    inference(split,[status(esa)],[zip_derived_cl1862]) ).

thf(zip_derived_cl69,plain,
    ! [X97: $i,X98: $i] :
      ( ( c0_1 @ X97 )
      | ( c1_1 @ X97 )
      | ~ ( c3_1 @ X97 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X98 )
      | ~ ( c1_1 @ X98 )
      | ~ ( c2_1 @ X98 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('215',plain,
    ( ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c1_1 @ X96 )
        | ~ ( c3_1 @ X96 ) )
    | hskp9
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl8094,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN507+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.Qf8QNTzseP true
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 17:02:26 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.81  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.81  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.43/0.82  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.59/0.83  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.59/0.83  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.59/0.83  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.59/0.83  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 11.85/2.35  % Solved by fo/fo1_av.sh.
% 11.85/2.35  % done 2024 iterations in 1.441s
% 11.85/2.35  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 11.85/2.35  % SZS output start Refutation
% See solution above
% 11.85/2.36  
% 11.85/2.36  
% 11.85/2.36  % Terminating...
% 12.25/2.41  % Runner terminated.
% 12.25/2.43  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------