TSTP Solution File: SYN505+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN505+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.LupFNBhaPy true

% Computer : n015.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 04:04:15 EDT 2023

% Result   : Theorem 7.32s 1.72s
% Output   : Refutation 7.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   70
% Syntax   : Number of formulae    :  543 (   1 unt;  69 typ;   0 def)
%            Number of atoms       : 3533 (   0 equ;   0 cnn)
%            Maximal formula atoms :  749 (   7 avg)
%            Number of connectives : 7351 (1723   ~;2160   |; 478   &;2569   @)
%                                         (   0 <=>; 234  =>; 187  <=;   0 <~>)
%            Maximal formula depth :  115 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   70 (  69 usr;  66 con; 0-1 aty)
%            Number of variables   :  585 (   0   ^; 585   !;   0   ?; 585   :)

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

thf(a465_type,type,
    a465: $i ).

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

thf(a488_type,type,
    a488: $i ).

thf(a479_type,type,
    a479: $i ).

thf(a521_type,type,
    a521: $i ).

thf(a469_type,type,
    a469: $i ).

thf(a487_type,type,
    a487: $i ).

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

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

thf(a462_type,type,
    a462: $i ).

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

thf(a470_type,type,
    a470: $i ).

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

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

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

thf(a463_type,type,
    a463: $i ).

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

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

thf(a466_type,type,
    a466: $i ).

thf(a500_type,type,
    a500: $i ).

thf(a519_type,type,
    a519: $i ).

thf(a474_type,type,
    a474: $i ).

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

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

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

thf(a478_type,type,
    a478: $i ).

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

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

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

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

thf(a529_type,type,
    a529: $i ).

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

thf(a477_type,type,
    a477: $i ).

thf(a481_type,type,
    a481: $i ).

thf(a494_type,type,
    a494: $i ).

thf(a507_type,type,
    a507: $i ).

thf(a559_type,type,
    a559: $i ).

thf(a493_type,type,
    a493: $i ).

thf(a484_type,type,
    a484: $i ).

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

thf(a506_type,type,
    a506: $i ).

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

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

thf(a471_type,type,
    a471: $i ).

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

thf(a545_type,type,
    a545: $i ).

thf(a472_type,type,
    a472: $i ).

thf(a482_type,type,
    a482: $i ).

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

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

thf(a483_type,type,
    a483: $i ).

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

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

thf(a467_type,type,
    a467: $i ).

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

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

thf(a525_type,type,
    a525: $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(a464_type,type,
    a464: $i ).

thf(a576_type,type,
    a576: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c0_1 @ a462 )
          & ( c2_1 @ a462 )
          & ~ ( c1_1 @ a462 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c2_1 @ a463 )
          & ~ ( c1_1 @ a463 )
          & ~ ( c3_1 @ a463 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c3_1 @ a464 )
          & ~ ( c0_1 @ a464 )
          & ~ ( c2_1 @ a464 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c3_1 @ a465 )
          & ~ ( c0_1 @ a465 )
          & ~ ( c1_1 @ a465 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ ( c0_1 @ a466 )
          & ~ ( c1_1 @ a466 )
          & ~ ( c3_1 @ a466 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c0_1 @ a467 )
          & ~ ( c1_1 @ a467 )
          & ~ ( c3_1 @ a467 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ ( c0_1 @ a470 )
          & ~ ( c1_1 @ a470 )
          & ~ ( c2_1 @ a470 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c0_1 @ a471 )
          & ( c3_1 @ a471 )
          & ~ ( c2_1 @ a471 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c1_1 @ a472 )
          & ( c3_1 @ a472 )
          & ~ ( c2_1 @ a472 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c2_1 @ a477 )
          & ( c3_1 @ a477 )
          & ~ ( c1_1 @ a477 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c2_1 @ a478 )
          & ~ ( c0_1 @ a478 )
          & ~ ( c3_1 @ a478 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c0_1 @ a479 )
          & ( c3_1 @ a479 )
          & ~ ( c1_1 @ a479 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c1_1 @ a481 )
          & ~ ( c0_1 @ a481 )
          & ~ ( c3_1 @ a481 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c3_1 @ a482 )
          & ~ ( c1_1 @ a482 )
          & ~ ( c2_1 @ a482 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c1_1 @ a483 )
          & ( c2_1 @ a483 )
          & ~ ( c0_1 @ a483 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c0_1 @ a484 )
          & ( c2_1 @ a484 )
          & ~ ( c3_1 @ a484 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c0_1 @ a487 )
          & ~ ( c1_1 @ a487 )
          & ~ ( c2_1 @ a487 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c2_1 @ a493 )
          & ( c3_1 @ a493 )
          & ~ ( c0_1 @ a493 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c0_1 @ a494 )
          & ~ ( c2_1 @ a494 )
          & ~ ( c3_1 @ a494 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c1_1 @ a500 )
          & ~ ( c2_1 @ a500 )
          & ~ ( c3_1 @ a500 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c1_1 @ a506 )
          & ( c2_1 @ a506 )
          & ~ ( c3_1 @ a506 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c2_1 @ a507 )
          & ~ ( c0_1 @ a507 )
          & ~ ( c1_1 @ a507 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c1_1 @ a519 )
          & ~ ( c0_1 @ a519 )
          & ~ ( c2_1 @ a519 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ ( c0_1 @ a521 )
          & ~ ( c2_1 @ a521 )
          & ~ ( c3_1 @ a521 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c0_1 @ a525 )
          & ( c1_1 @ a525 )
          & ~ ( c2_1 @ a525 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c1_1 @ a545 )
          & ( c3_1 @ a545 )
          & ~ ( c0_1 @ a545 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a559 )
          & ( c1_1 @ a559 )
          & ~ ( c3_1 @ a559 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ ( c1_1 @ a576 )
          & ~ ( c2_1 @ a576 )
          & ~ ( c3_1 @ a576 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a469 )
          & ( c2_1 @ a469 )
          & ( c3_1 @ a469 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a474 )
          & ( c1_1 @ a474 )
          & ( c2_1 @ a474 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c1_1 @ a488 )
          & ( c2_1 @ a488 )
          & ( c3_1 @ a488 ) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & ( c0_1 @ a529 )
          & ( c1_1 @ a529 )
          & ( c3_1 @ a529 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c3_1 @ V )
              | ~ ( c0_1 @ V )
              | ~ ( c2_1 @ V ) ) )
        | hskp0 )
      & ( ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ( c1_1 @ W )
              | ( c2_1 @ W ) ) )
        | hskp1
        | hskp2 )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | hskp3
        | hskp4 )
      & ( ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c1_1 @ Y )
              | ( c3_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c2_1 @ Z )
              | ~ ( c1_1 @ Z ) ) )
        | ! [X1: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X1 )
              | ( c3_1 @ X1 )
              | ~ ( c1_1 @ X1 ) ) ) )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c3_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c2_1 @ X3 )
              | ~ ( c1_1 @ X3 ) ) )
        | hskp5 )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c1_1 @ X4 )
              | ( c3_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ~ ( c1_1 @ X5 )
              | ~ ( c3_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X6 )
              | ~ ( c0_1 @ X6 )
              | ~ ( c3_1 @ X6 ) ) ) )
      & ( ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c1_1 @ X7 )
              | ~ ( c2_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X8 )
              | ~ ( c2_1 @ X8 )
              | ~ ( c3_1 @ X8 ) ) )
        | ! [X9: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X9 )
              | ( c3_1 @ X9 )
              | ~ ( c0_1 @ X9 ) ) ) )
      & ( ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ~ ( c3_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c2_1 @ X11 )
              | ~ ( c1_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X12 )
              | ( c3_1 @ X12 )
              | ~ ( c0_1 @ X12 ) ) ) )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c1_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X14 )
              | ( c3_1 @ X14 )
              | ~ ( c1_1 @ X14 ) ) )
        | hskp5 )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c3_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X16 )
              | ~ ( c2_1 @ X16 )
              | ~ ( c3_1 @ X16 ) ) )
        | hskp28 )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c2_1 @ X17 )
              | ( c3_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ( c2_1 @ X18 )
              | ~ ( c1_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c3_1 @ X19 )
              | ~ ( c1_1 @ X19 ) ) ) )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c2_1 @ X20 )
              | ( c3_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X21 )
              | ~ ( c1_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) )
        | hskp6 )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c2_1 @ X22 )
              | ( c3_1 @ X22 ) ) )
        | hskp7
        | hskp8 )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c2_1 @ X23 )
              | ~ ( c1_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X24 )
              | ( c3_1 @ X24 )
              | ~ ( c1_1 @ X24 ) ) )
        | hskp6 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c2_1 @ X25 )
              | ~ ( c1_1 @ X25 ) ) )
        | hskp29
        | hskp0 )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c2_1 @ X26 )
              | ~ ( c3_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X27 )
              | ( c2_1 @ X27 )
              | ~ ( c0_1 @ X27 ) ) )
        | hskp29 )
      & ( ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c2_1 @ X28 )
              | ~ ( c3_1 @ X28 ) ) )
        | ! [X29: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X29 )
              | ( c2_1 @ X29 )
              | ~ ( c0_1 @ X29 ) ) )
        | hskp9 )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ( c2_1 @ X30 )
              | ~ ( c3_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X31 )
              | ~ ( c1_1 @ X31 )
              | ~ ( c3_1 @ X31 ) ) )
        | hskp10 )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c2_1 @ X32 )
              | ~ ( c3_1 @ X32 ) ) )
        | ! [X33: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X33 )
              | ~ ( c2_1 @ X33 )
              | ~ ( c3_1 @ X33 ) ) )
        | hskp11 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c2_1 @ X34 )
              | ~ ( c3_1 @ X34 ) ) )
        | hskp5
        | hskp12 )
      & ( ! [X35: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X35 )
              | ( c3_1 @ X35 )
              | ~ ( c1_1 @ X35 ) ) )
        | ! [X36: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X36 )
              | ( c3_1 @ X36 )
              | ~ ( c2_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X37 )
              | ~ ( c0_1 @ X37 )
              | ~ ( c1_1 @ X37 ) ) ) )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ( c3_1 @ X38 )
              | ~ ( c1_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X39 )
              | ~ ( c0_1 @ X39 )
              | ~ ( c2_1 @ X39 ) ) )
        | hskp13 )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ( c3_1 @ X40 )
              | ~ ( c2_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ~ ( c1_1 @ X41 )
              | ~ ( c3_1 @ X41 ) ) )
        | hskp14 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ( c3_1 @ X42 )
              | ~ ( c2_1 @ X42 ) ) )
        | hskp15
        | hskp1 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ( c3_1 @ X43 )
              | ~ ( c2_1 @ X43 ) ) )
        | hskp7
        | hskp16 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ~ ( c1_1 @ X44 )
              | ~ ( c2_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X45 )
              | ( c2_1 @ X45 )
              | ~ ( c0_1 @ X45 ) ) ) )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ~ ( c1_1 @ X46 )
              | ~ ( c2_1 @ X46 ) ) )
        | hskp30
        | hskp1 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X47 )
              | ~ ( c1_1 @ X47 )
              | ~ ( c3_1 @ X47 ) ) )
        | ! [X48: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X48 )
              | ( c2_1 @ X48 )
              | ~ ( c0_1 @ X48 ) ) )
        | hskp5 )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ~ ( c1_1 @ X49 )
              | ~ ( c3_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X50 )
              | ~ ( c2_1 @ X50 )
              | ~ ( c3_1 @ X50 ) ) )
        | hskp16 )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X51 )
              | ~ ( c2_1 @ X51 )
              | ~ ( c3_1 @ X51 ) ) )
        | ! [X52: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X52 )
              | ( c2_1 @ X52 )
              | ( c3_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X53 )
              | ~ ( c0_1 @ X53 )
              | ~ ( c1_1 @ X53 ) ) ) )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X54 )
              | ~ ( c2_1 @ X54 )
              | ~ ( c3_1 @ X54 ) ) )
        | ! [X55: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X55 )
              | ~ ( c1_1 @ X55 )
              | ~ ( c2_1 @ X55 ) ) )
        | ! [X56: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X56 )
              | ~ ( c1_1 @ X56 )
              | ~ ( c3_1 @ X56 ) ) ) )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X57 )
              | ~ ( c2_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | hskp7
        | hskp17 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X58 )
              | ~ ( c2_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | hskp18
        | hskp6 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X59 )
              | ( c2_1 @ X59 )
              | ( c3_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X60 )
              | ( c3_1 @ X60 )
              | ~ ( c0_1 @ X60 ) ) )
        | hskp16 )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X61 )
              | ( c2_1 @ X61 )
              | ( c3_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X62 )
              | ~ ( c2_1 @ X62 )
              | ~ ( c3_1 @ X62 ) ) )
        | hskp2 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X63 )
              | ( c2_1 @ X63 )
              | ( c3_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X64 )
              | ( c3_1 @ X64 )
              | ~ ( c1_1 @ X64 ) ) )
        | hskp14 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ( c2_1 @ X65 )
              | ~ ( c0_1 @ X65 ) ) )
        | hskp18
        | hskp19 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ( c2_1 @ X66 )
              | ~ ( c0_1 @ X66 ) ) )
        | hskp17
        | hskp9 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ( c2_1 @ X67 )
              | ~ ( c3_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ~ ( c0_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | ! [X69: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X69 )
              | ( c3_1 @ X69 )
              | ~ ( c1_1 @ X69 ) ) ) )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X70 )
              | ( c3_1 @ X70 )
              | ~ ( c0_1 @ X70 ) ) )
        | ! [X71: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X71 )
              | ~ ( c1_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | hskp2 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ( c3_1 @ X72 )
              | ~ ( c0_1 @ X72 ) ) )
        | hskp18
        | hskp1 )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ( c3_1 @ X73 )
              | ~ ( c0_1 @ X73 ) ) )
        | hskp20
        | hskp21 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X74 )
              | ( c3_1 @ X74 )
              | ~ ( c2_1 @ X74 ) ) )
        | hskp30
        | hskp21 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ~ ( c0_1 @ X75 )
              | ~ ( c2_1 @ X75 ) ) )
        | ! [X76: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X76 )
              | ~ ( c0_1 @ X76 )
              | ~ ( c3_1 @ X76 ) ) )
        | hskp12 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X77 )
              | ~ ( c0_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X78 )
              | ~ ( c1_1 @ X78 )
              | ~ ( c2_1 @ X78 ) ) )
        | hskp18 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X79 )
              | ~ ( c0_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) )
        | hskp17
        | hskp21 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X80 )
              | ( c3_1 @ X80 )
              | ~ ( c0_1 @ X80 ) ) )
        | ! [X81: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X81 )
              | ( c3_1 @ X81 )
              | ~ ( c1_1 @ X81 ) ) )
        | hskp0 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X82 )
              | ( c3_1 @ X82 )
              | ~ ( c0_1 @ X82 ) ) )
        | ! [X83: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X83 )
              | ~ ( c1_1 @ X83 )
              | ~ ( c2_1 @ X83 ) ) ) )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X84 )
              | ( c3_1 @ X84 )
              | ~ ( c0_1 @ X84 ) ) )
        | ! [X85: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X85 )
              | ~ ( c2_1 @ X85 )
              | ~ ( c3_1 @ X85 ) ) )
        | hskp6 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X86 )
              | ( c3_1 @ X86 )
              | ~ ( c1_1 @ X86 ) ) )
        | hskp11
        | hskp9 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X87 )
              | ( c3_1 @ X87 )
              | ~ ( c1_1 @ X87 ) ) )
        | hskp20
        | hskp22 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X88 )
              | ( c3_1 @ X88 )
              | ~ ( c1_1 @ X88 ) ) )
        | hskp9
        | hskp23 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X89 )
              | ~ ( c0_1 @ X89 )
              | ~ ( c1_1 @ X89 ) ) )
        | ! [X90: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X90 )
              | ~ ( c1_1 @ X90 )
              | ~ ( c2_1 @ X90 ) ) )
        | hskp29 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X91 )
              | ~ ( c0_1 @ X91 )
              | ~ ( c3_1 @ X91 ) ) )
        | hskp5
        | hskp17 )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X92 )
              | ~ ( c0_1 @ X92 )
              | ~ ( c1_1 @ X92 ) ) )
        | ! [X93: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X93 )
              | ~ ( c2_1 @ X93 )
              | ~ ( c3_1 @ X93 ) ) )
        | ! [X94: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X94 )
              | ~ ( c2_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) ) )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X95 )
              | ~ ( c0_1 @ X95 )
              | ~ ( c1_1 @ X95 ) ) )
        | hskp24
        | hskp8 )
      & ( ! [X96: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X96 )
              | ~ ( c0_1 @ X96 )
              | ~ ( c1_1 @ X96 ) ) )
        | hskp30
        | hskp12 )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X97 )
              | ~ ( c0_1 @ X97 )
              | ~ ( c2_1 @ X97 ) ) )
        | ! [X98: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X98 )
              | ~ ( c1_1 @ X98 )
              | ~ ( c3_1 @ X98 ) ) )
        | hskp31 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X99 )
              | ~ ( c0_1 @ X99 )
              | ~ ( c2_1 @ X99 ) ) )
        | ! [X100: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X100 )
              | ~ ( c2_1 @ X100 )
              | ~ ( c3_1 @ X100 ) ) )
        | hskp7 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X101 )
              | ~ ( c1_1 @ X101 )
              | ~ ( c2_1 @ X101 ) ) )
        | hskp18
        | hskp17 )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X102 )
              | ~ ( c1_1 @ X102 )
              | ~ ( c2_1 @ X102 ) ) )
        | ! [X103: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X103 )
              | ~ ( c1_1 @ X103 )
              | ~ ( c3_1 @ X103 ) ) )
        | hskp31 )
      & ( ! [X104: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X104 )
              | ~ ( c1_1 @ X104 )
              | ~ ( c2_1 @ X104 ) ) )
        | hskp18
        | hskp4 )
      & ( ! [X105: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X105 )
              | ~ ( c1_1 @ X105 )
              | ~ ( c2_1 @ X105 ) ) )
        | hskp14
        | hskp10 )
      & ( ! [X106: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X106 )
              | ~ ( c1_1 @ X106 )
              | ~ ( c2_1 @ X106 ) ) )
        | hskp8
        | hskp13 )
      & ( ! [X107: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X107 )
              | ~ ( c1_1 @ X107 )
              | ~ ( c2_1 @ X107 ) ) )
        | hskp6
        | hskp4 )
      & ( ! [X108: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X108 )
              | ~ ( c2_1 @ X108 )
              | ~ ( c3_1 @ X108 ) ) )
        | hskp24
        | hskp10 )
      & ( ! [X109: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X109 )
              | ~ ( c2_1 @ X109 )
              | ~ ( c3_1 @ X109 ) ) )
        | hskp14
        | hskp25 )
      & ( ! [X110: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X110 )
              | ~ ( c2_1 @ X110 )
              | ~ ( c3_1 @ X110 ) ) )
        | hskp25
        | hskp3 )
      & ( ! [X111: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X111 )
              | ~ ( c2_1 @ X111 )
              | ~ ( c3_1 @ X111 ) ) )
        | hskp8
        | hskp17 )
      & ( hskp29
        | hskp15
        | hskp9 )
      & ( hskp29
        | hskp12
        | hskp3 )
      & ( hskp31
        | hskp19
        | hskp10 )
      & ( hskp26
        | hskp16
        | hskp13 )
      & ( hskp26
        | hskp2
        | hskp23 )
      & ( hskp0
        | hskp30
        | hskp10 )
      & ( hskp0
        | hskp14
        | hskp25 )
      & ( hskp11
        | hskp12
        | hskp9 )
      & ( hskp7
        | hskp8
        | hskp27 )
      & ( hskp5
        | hskp3
        | hskp23 )
      & ( hskp22
        | hskp1
        | hskp13 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c0_1 @ a462 )
        & ( c2_1 @ a462 )
        & ~ ( c1_1 @ a462 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c2_1 @ a463 )
        & ~ ( c1_1 @ a463 )
        & ~ ( c3_1 @ a463 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c3_1 @ a464 )
        & ~ ( c0_1 @ a464 )
        & ~ ( c2_1 @ a464 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c3_1 @ a465 )
        & ~ ( c0_1 @ a465 )
        & ~ ( c1_1 @ a465 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ ( c0_1 @ a466 )
        & ~ ( c1_1 @ a466 )
        & ~ ( c3_1 @ a466 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c0_1 @ a467 )
        & ~ ( c1_1 @ a467 )
        & ~ ( c3_1 @ a467 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ ( c0_1 @ a470 )
        & ~ ( c1_1 @ a470 )
        & ~ ( c2_1 @ a470 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c0_1 @ a471 )
        & ( c3_1 @ a471 )
        & ~ ( c2_1 @ a471 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c1_1 @ a472 )
        & ( c3_1 @ a472 )
        & ~ ( c2_1 @ a472 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c2_1 @ a477 )
        & ( c3_1 @ a477 )
        & ~ ( c1_1 @ a477 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c2_1 @ a478 )
        & ~ ( c0_1 @ a478 )
        & ~ ( c3_1 @ a478 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c0_1 @ a479 )
        & ( c3_1 @ a479 )
        & ~ ( c1_1 @ a479 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c1_1 @ a481 )
        & ~ ( c0_1 @ a481 )
        & ~ ( c3_1 @ a481 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c3_1 @ a482 )
        & ~ ( c1_1 @ a482 )
        & ~ ( c2_1 @ a482 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c1_1 @ a483 )
        & ( c2_1 @ a483 )
        & ~ ( c0_1 @ a483 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c0_1 @ a484 )
        & ( c2_1 @ a484 )
        & ~ ( c3_1 @ a484 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c0_1 @ a487 )
        & ~ ( c1_1 @ a487 )
        & ~ ( c2_1 @ a487 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c2_1 @ a493 )
        & ( c3_1 @ a493 )
        & ~ ( c0_1 @ a493 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c0_1 @ a494 )
        & ~ ( c2_1 @ a494 )
        & ~ ( c3_1 @ a494 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c1_1 @ a500 )
        & ~ ( c2_1 @ a500 )
        & ~ ( c3_1 @ a500 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c1_1 @ a506 )
        & ( c2_1 @ a506 )
        & ~ ( c3_1 @ a506 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c2_1 @ a507 )
        & ~ ( c0_1 @ a507 )
        & ~ ( c1_1 @ a507 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c1_1 @ a519 )
        & ~ ( c0_1 @ a519 )
        & ~ ( c2_1 @ a519 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ ( c0_1 @ a521 )
        & ~ ( c2_1 @ a521 )
        & ~ ( c3_1 @ a521 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c0_1 @ a525 )
        & ( c1_1 @ a525 )
        & ~ ( c2_1 @ a525 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c1_1 @ a545 )
        & ( c3_1 @ a545 )
        & ~ ( c0_1 @ a545 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a559 )
        & ( c1_1 @ a559 )
        & ~ ( c3_1 @ a559 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ ( c1_1 @ a576 )
        & ~ ( c2_1 @ a576 )
        & ~ ( c3_1 @ a576 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a469 )
        & ( c2_1 @ a469 )
        & ( c3_1 @ a469 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a474 )
        & ( c1_1 @ a474 )
        & ( c2_1 @ a474 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c1_1 @ a488 )
        & ( c2_1 @ a488 )
        & ( c3_1 @ a488 ) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ( c0_1 @ a529 )
        & ( c1_1 @ a529 )
        & ( c3_1 @ a529 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c3_1 @ V )
            | ~ ( c0_1 @ V )
            | ~ ( c2_1 @ V ) ) )
      | hskp0 )
    & ( ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ( c1_1 @ W )
            | ( c2_1 @ W ) ) )
      | hskp1
      | hskp2 )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | hskp3
      | hskp4 )
    & ( ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c1_1 @ Y )
            | ( c3_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c2_1 @ Z )
            | ~ ( c1_1 @ Z ) ) )
      | ! [X1: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X1 )
            | ( c3_1 @ X1 )
            | ~ ( c1_1 @ X1 ) ) ) )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c3_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c2_1 @ X3 )
            | ~ ( c1_1 @ X3 ) ) )
      | hskp5 )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c1_1 @ X4 )
            | ( c3_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ~ ( c1_1 @ X5 )
            | ~ ( c3_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X6 )
            | ~ ( c0_1 @ X6 )
            | ~ ( c3_1 @ X6 ) ) ) )
    & ( ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c1_1 @ X7 )
            | ~ ( c2_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X8 )
            | ~ ( c2_1 @ X8 )
            | ~ ( c3_1 @ X8 ) ) )
      | ! [X9: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X9 )
            | ( c3_1 @ X9 )
            | ~ ( c0_1 @ X9 ) ) ) )
    & ( ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ~ ( c3_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c2_1 @ X11 )
            | ~ ( c1_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X12 )
            | ( c3_1 @ X12 )
            | ~ ( c0_1 @ X12 ) ) ) )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c1_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X14 )
            | ( c3_1 @ X14 )
            | ~ ( c1_1 @ X14 ) ) )
      | hskp5 )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c3_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X16 )
            | ~ ( c2_1 @ X16 )
            | ~ ( c3_1 @ X16 ) ) )
      | hskp28 )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c2_1 @ X17 )
            | ( c3_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ( c2_1 @ X18 )
            | ~ ( c1_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c3_1 @ X19 )
            | ~ ( c1_1 @ X19 ) ) ) )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c2_1 @ X20 )
            | ( c3_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X21 )
            | ~ ( c1_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) )
      | hskp6 )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c2_1 @ X22 )
            | ( c3_1 @ X22 ) ) )
      | hskp7
      | hskp8 )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c2_1 @ X23 )
            | ~ ( c1_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X24 )
            | ( c3_1 @ X24 )
            | ~ ( c1_1 @ X24 ) ) )
      | hskp6 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c2_1 @ X25 )
            | ~ ( c1_1 @ X25 ) ) )
      | hskp29
      | hskp0 )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c2_1 @ X26 )
            | ~ ( c3_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X27 )
            | ( c2_1 @ X27 )
            | ~ ( c0_1 @ X27 ) ) )
      | hskp29 )
    & ( ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c2_1 @ X28 )
            | ~ ( c3_1 @ X28 ) ) )
      | ! [X29: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X29 )
            | ( c2_1 @ X29 )
            | ~ ( c0_1 @ X29 ) ) )
      | hskp9 )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ( c2_1 @ X30 )
            | ~ ( c3_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X31 )
            | ~ ( c1_1 @ X31 )
            | ~ ( c3_1 @ X31 ) ) )
      | hskp10 )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c2_1 @ X32 )
            | ~ ( c3_1 @ X32 ) ) )
      | ! [X33: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X33 )
            | ~ ( c2_1 @ X33 )
            | ~ ( c3_1 @ X33 ) ) )
      | hskp11 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c2_1 @ X34 )
            | ~ ( c3_1 @ X34 ) ) )
      | hskp5
      | hskp12 )
    & ( ! [X35: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X35 )
            | ( c3_1 @ X35 )
            | ~ ( c1_1 @ X35 ) ) )
      | ! [X36: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X36 )
            | ( c3_1 @ X36 )
            | ~ ( c2_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X37 )
            | ~ ( c0_1 @ X37 )
            | ~ ( c1_1 @ X37 ) ) ) )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ( c3_1 @ X38 )
            | ~ ( c1_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X39 )
            | ~ ( c0_1 @ X39 )
            | ~ ( c2_1 @ X39 ) ) )
      | hskp13 )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ( c3_1 @ X40 )
            | ~ ( c2_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ~ ( c1_1 @ X41 )
            | ~ ( c3_1 @ X41 ) ) )
      | hskp14 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ( c3_1 @ X42 )
            | ~ ( c2_1 @ X42 ) ) )
      | hskp15
      | hskp1 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ( c3_1 @ X43 )
            | ~ ( c2_1 @ X43 ) ) )
      | hskp7
      | hskp16 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ~ ( c1_1 @ X44 )
            | ~ ( c2_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X45 )
            | ( c2_1 @ X45 )
            | ~ ( c0_1 @ X45 ) ) ) )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ~ ( c1_1 @ X46 )
            | ~ ( c2_1 @ X46 ) ) )
      | hskp30
      | hskp1 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X47 )
            | ~ ( c1_1 @ X47 )
            | ~ ( c3_1 @ X47 ) ) )
      | ! [X48: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X48 )
            | ( c2_1 @ X48 )
            | ~ ( c0_1 @ X48 ) ) )
      | hskp5 )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ~ ( c1_1 @ X49 )
            | ~ ( c3_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X50 )
            | ~ ( c2_1 @ X50 )
            | ~ ( c3_1 @ X50 ) ) )
      | hskp16 )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X51 )
            | ~ ( c2_1 @ X51 )
            | ~ ( c3_1 @ X51 ) ) )
      | ! [X52: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X52 )
            | ( c2_1 @ X52 )
            | ( c3_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X53 )
            | ~ ( c0_1 @ X53 )
            | ~ ( c1_1 @ X53 ) ) ) )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X54 )
            | ~ ( c2_1 @ X54 )
            | ~ ( c3_1 @ X54 ) ) )
      | ! [X55: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X55 )
            | ~ ( c1_1 @ X55 )
            | ~ ( c2_1 @ X55 ) ) )
      | ! [X56: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X56 )
            | ~ ( c1_1 @ X56 )
            | ~ ( c3_1 @ X56 ) ) ) )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X57 )
            | ~ ( c2_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | hskp7
      | hskp17 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X58 )
            | ~ ( c2_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | hskp18
      | hskp6 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X59 )
            | ( c2_1 @ X59 )
            | ( c3_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X60 )
            | ( c3_1 @ X60 )
            | ~ ( c0_1 @ X60 ) ) )
      | hskp16 )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X61 )
            | ( c2_1 @ X61 )
            | ( c3_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X62 )
            | ~ ( c2_1 @ X62 )
            | ~ ( c3_1 @ X62 ) ) )
      | hskp2 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X63 )
            | ( c2_1 @ X63 )
            | ( c3_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X64 )
            | ( c3_1 @ X64 )
            | ~ ( c1_1 @ X64 ) ) )
      | hskp14 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ( c2_1 @ X65 )
            | ~ ( c0_1 @ X65 ) ) )
      | hskp18
      | hskp19 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ( c2_1 @ X66 )
            | ~ ( c0_1 @ X66 ) ) )
      | hskp17
      | hskp9 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ( c2_1 @ X67 )
            | ~ ( c3_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ~ ( c0_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | ! [X69: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X69 )
            | ( c3_1 @ X69 )
            | ~ ( c1_1 @ X69 ) ) ) )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X70 )
            | ( c3_1 @ X70 )
            | ~ ( c0_1 @ X70 ) ) )
      | ! [X71: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X71 )
            | ~ ( c1_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | hskp2 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ( c3_1 @ X72 )
            | ~ ( c0_1 @ X72 ) ) )
      | hskp18
      | hskp1 )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ( c3_1 @ X73 )
            | ~ ( c0_1 @ X73 ) ) )
      | hskp20
      | hskp21 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X74 )
            | ( c3_1 @ X74 )
            | ~ ( c2_1 @ X74 ) ) )
      | hskp30
      | hskp21 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ~ ( c0_1 @ X75 )
            | ~ ( c2_1 @ X75 ) ) )
      | ! [X76: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X76 )
            | ~ ( c0_1 @ X76 )
            | ~ ( c3_1 @ X76 ) ) )
      | hskp12 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X77 )
            | ~ ( c0_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X78 )
            | ~ ( c1_1 @ X78 )
            | ~ ( c2_1 @ X78 ) ) )
      | hskp18 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X79 )
            | ~ ( c0_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) )
      | hskp17
      | hskp21 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X80 )
            | ( c3_1 @ X80 )
            | ~ ( c0_1 @ X80 ) ) )
      | ! [X81: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X81 )
            | ( c3_1 @ X81 )
            | ~ ( c1_1 @ X81 ) ) )
      | hskp0 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X82 )
            | ( c3_1 @ X82 )
            | ~ ( c0_1 @ X82 ) ) )
      | ! [X83: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X83 )
            | ~ ( c1_1 @ X83 )
            | ~ ( c2_1 @ X83 ) ) ) )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X84 )
            | ( c3_1 @ X84 )
            | ~ ( c0_1 @ X84 ) ) )
      | ! [X85: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X85 )
            | ~ ( c2_1 @ X85 )
            | ~ ( c3_1 @ X85 ) ) )
      | hskp6 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X86 )
            | ( c3_1 @ X86 )
            | ~ ( c1_1 @ X86 ) ) )
      | hskp11
      | hskp9 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X87 )
            | ( c3_1 @ X87 )
            | ~ ( c1_1 @ X87 ) ) )
      | hskp20
      | hskp22 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X88 )
            | ( c3_1 @ X88 )
            | ~ ( c1_1 @ X88 ) ) )
      | hskp9
      | hskp23 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X89 )
            | ~ ( c0_1 @ X89 )
            | ~ ( c1_1 @ X89 ) ) )
      | ! [X90: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X90 )
            | ~ ( c1_1 @ X90 )
            | ~ ( c2_1 @ X90 ) ) )
      | hskp29 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X91 )
            | ~ ( c0_1 @ X91 )
            | ~ ( c3_1 @ X91 ) ) )
      | hskp5
      | hskp17 )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X92 )
            | ~ ( c0_1 @ X92 )
            | ~ ( c1_1 @ X92 ) ) )
      | ! [X93: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X93 )
            | ~ ( c2_1 @ X93 )
            | ~ ( c3_1 @ X93 ) ) )
      | ! [X94: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X94 )
            | ~ ( c2_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) ) )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X95 )
            | ~ ( c0_1 @ X95 )
            | ~ ( c1_1 @ X95 ) ) )
      | hskp24
      | hskp8 )
    & ( ! [X96: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X96 )
            | ~ ( c0_1 @ X96 )
            | ~ ( c1_1 @ X96 ) ) )
      | hskp30
      | hskp12 )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X97 )
            | ~ ( c0_1 @ X97 )
            | ~ ( c2_1 @ X97 ) ) )
      | ! [X98: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X98 )
            | ~ ( c1_1 @ X98 )
            | ~ ( c3_1 @ X98 ) ) )
      | hskp31 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X99 )
            | ~ ( c0_1 @ X99 )
            | ~ ( c2_1 @ X99 ) ) )
      | ! [X100: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X100 )
            | ~ ( c2_1 @ X100 )
            | ~ ( c3_1 @ X100 ) ) )
      | hskp7 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X101 )
            | ~ ( c1_1 @ X101 )
            | ~ ( c2_1 @ X101 ) ) )
      | hskp18
      | hskp17 )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X102 )
            | ~ ( c1_1 @ X102 )
            | ~ ( c2_1 @ X102 ) ) )
      | ! [X103: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X103 )
            | ~ ( c1_1 @ X103 )
            | ~ ( c3_1 @ X103 ) ) )
      | hskp31 )
    & ( ! [X104: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X104 )
            | ~ ( c1_1 @ X104 )
            | ~ ( c2_1 @ X104 ) ) )
      | hskp18
      | hskp4 )
    & ( ! [X105: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X105 )
            | ~ ( c1_1 @ X105 )
            | ~ ( c2_1 @ X105 ) ) )
      | hskp14
      | hskp10 )
    & ( ! [X106: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X106 )
            | ~ ( c1_1 @ X106 )
            | ~ ( c2_1 @ X106 ) ) )
      | hskp8
      | hskp13 )
    & ( ! [X107: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X107 )
            | ~ ( c1_1 @ X107 )
            | ~ ( c2_1 @ X107 ) ) )
      | hskp6
      | hskp4 )
    & ( ! [X108: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X108 )
            | ~ ( c2_1 @ X108 )
            | ~ ( c3_1 @ X108 ) ) )
      | hskp24
      | hskp10 )
    & ( ! [X109: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X109 )
            | ~ ( c2_1 @ X109 )
            | ~ ( c3_1 @ X109 ) ) )
      | hskp14
      | hskp25 )
    & ( ! [X110: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X110 )
            | ~ ( c2_1 @ X110 )
            | ~ ( c3_1 @ X110 ) ) )
      | hskp25
      | hskp3 )
    & ( ! [X111: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X111 )
            | ~ ( c2_1 @ X111 )
            | ~ ( c3_1 @ X111 ) ) )
      | hskp8
      | hskp17 )
    & ( hskp29
      | hskp15
      | hskp9 )
    & ( hskp29
      | hskp12
      | hskp3 )
    & ( hskp31
      | hskp19
      | hskp10 )
    & ( hskp26
      | hskp16
      | hskp13 )
    & ( hskp26
      | hskp2
      | hskp23 )
    & ( hskp0
      | hskp30
      | hskp10 )
    & ( hskp0
      | hskp14
      | hskp25 )
    & ( hskp11
      | hskp12
      | hskp9 )
    & ( hskp7
      | hskp8
      | hskp27 )
    & ( hskp5
      | hskp3
      | hskp23 )
    & ( hskp22
      | hskp1
      | hskp13 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl44,plain,
    ! [X47: $i,X48: $i] :
      ( ( c1_1 @ X47 )
      | ( c2_1 @ X47 )
      | ( c3_1 @ X47 )
      | ~ ndr1_0
      | ( c2_1 @ X48 )
      | ( c3_1 @ X48 )
      | ~ ( c1_1 @ X48 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl372,plain,
    ( ! [X47: $i] :
        ( ( c1_1 @ X47 )
        | ( c2_1 @ X47 )
        | ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c1_1 @ X47 )
        | ( c2_1 @ X47 )
        | ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp4
    | ~ ( c3_1 @ a466 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl737,plain,
    ( ~ ( c3_1 @ a466 )
   <= ~ ( c3_1 @ a466 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl1738,plain,
    ( ( ( c2_1 @ a466 )
      | ( c1_1 @ a466 ) )
   <= ( ~ ( c3_1 @ a466 )
      & ! [X47: $i] :
          ( ( c1_1 @ X47 )
          | ( c2_1 @ X47 )
          | ( c3_1 @ X47 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl737]) ).

thf('0',plain,
    ( ~ ! [X47: $i] :
          ( ( c1_1 @ X47 )
          | ( c2_1 @ X47 )
          | ( c3_1 @ X47 ) )
    | ( c2_1 @ a466 )
    | ( c3_1 @ a466 )
    | ( c1_1 @ a466 ) ),
    inference(split,[status(esa)],[zip_derived_cl1738]) ).

thf(zip_derived_cl55,plain,
    ! [X68: $i] :
      ( ( c0_1 @ X68 )
      | ( c3_1 @ X68 )
      | ~ ( c2_1 @ X68 )
      | ~ ndr1_0
      | hskp7
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl415,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c3_1 @ X68 )
        | ~ ( c2_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c3_1 @ X68 )
        | ~ ( c2_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl737_001,plain,
    ( ~ ( c3_1 @ a466 )
   <= ~ ( c3_1 @ a466 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl1914,plain,
    ( ( ~ ( c2_1 @ a466 )
      | ( c0_1 @ a466 ) )
   <= ( ~ ( c3_1 @ a466 )
      & ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c3_1 @ X68 )
          | ~ ( c2_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl737]) ).

thf('1',plain,
    ( ~ ( c2_1 @ a466 )
    | ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c3_1 @ X68 )
          | ~ ( c2_1 @ X68 ) )
    | ( c3_1 @ a466 )
    | ( c0_1 @ a466 ) ),
    inference(split,[status(esa)],[zip_derived_cl1914]) ).

thf(zip_derived_cl37,plain,
    ! [X37: $i] :
      ( ( c1_1 @ X37 )
      | ( c3_1 @ X37 )
      | ~ ( c2_1 @ X37 )
      | ~ ndr1_0
      | hskp30
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl344,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a467 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl729,plain,
    ( ~ ( c3_1 @ a467 )
   <= ~ ( c3_1 @ a467 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl1362,plain,
    ( ( ~ ( c2_1 @ a467 )
      | ( c1_1 @ a467 ) )
   <= ( ~ ( c3_1 @ a467 )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c2_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl729]) ).

thf('2',plain,
    ( ( c3_1 @ a467 )
    | ( c1_1 @ a467 )
    | ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c2_1 @ X37 ) )
    | ~ ( c2_1 @ a467 ) ),
    inference(split,[status(esa)],[zip_derived_cl1362]) ).

thf(zip_derived_cl30,plain,
    ! [X25: $i] :
      ( ( c2_1 @ X25 )
      | ( c3_1 @ X25 )
      | ~ ( c1_1 @ X25 )
      | ~ ndr1_0
      | hskp11
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c1_1 @ X23 ) )
    | hskp9
    | hskp11
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp9
    | ( c3_1 @ a477 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl695,plain,
    ( ( c3_1 @ a477 )
   <= ( c3_1 @ a477 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl34,plain,
    ! [X32: $i] :
      ( ( c1_1 @ X32 )
      | ~ ( c0_1 @ X32 )
      | ~ ( c3_1 @ X32 )
      | ~ ndr1_0
      | hskp17
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl332,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_cl34]) ).

thf(zip_derived_cl1452,plain,
    ( ( ( c1_1 @ a477 )
      | ~ ( c0_1 @ a477 ) )
   <= ( ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ~ ( c3_1 @ X32 ) )
      & ( c3_1 @ a477 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl332]) ).

thf('4',plain,
    ( ~ ( c0_1 @ a477 )
    | ~ ( c3_1 @ a477 )
    | ~ ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ~ ( c3_1 @ X32 ) )
    | ( c1_1 @ a477 ) ),
    inference(split,[status(esa)],[zip_derived_cl1452]) ).

thf(zip_derived_cl695_002,plain,
    ( ( c3_1 @ a477 )
   <= ( c3_1 @ a477 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl47,plain,
    ! [X53: $i] :
      ( ( c0_1 @ X53 )
      | ~ ( c2_1 @ X53 )
      | ~ ( c3_1 @ X53 )
      | ~ ndr1_0
      | hskp18
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl384,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c2_1 @ X53 )
        | ~ ( c3_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c2_1 @ X53 )
        | ~ ( c3_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl1541,plain,
    ( ( ( c0_1 @ a477 )
      | ~ ( c2_1 @ a477 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c2_1 @ X53 )
          | ~ ( c3_1 @ X53 ) )
      & ( c3_1 @ a477 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl384]) ).

thf('5',plain,
    ( ~ ( c2_1 @ a477 )
    | ~ ( c3_1 @ a477 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c2_1 @ X53 )
          | ~ ( c3_1 @ X53 ) )
    | ( c0_1 @ a477 ) ),
    inference(split,[status(esa)],[zip_derived_cl1541]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp30
    | ( c3_1 @ a488 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl529,plain,
    ( ( c3_1 @ a488 )
   <= ( c3_1 @ a488 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl19,plain,
    ! [X8: $i,X9: $i] :
      ( ~ ( c0_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ( c2_1 @ X8 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X9 )
      | ~ ( c1_1 @ X9 )
      | ~ ( c3_1 @ X9 )
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl273,plain,
    ( ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1188,plain,
    ( ( ~ ( c0_1 @ a488 )
      | ~ ( c1_1 @ a488 ) )
   <= ( ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c3_1 @ a488 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl529,zip_derived_cl273]) ).

thf('6',plain,
    ( ~ ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c0_1 @ a488 )
    | ~ ( c1_1 @ a488 )
    | ~ ( c3_1 @ a488 ) ),
    inference(split,[status(esa)],[zip_derived_cl1188]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp17
    | ( c2_1 @ a493 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( ( c2_1 @ a493 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp17
    | ( c3_1 @ a493 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( ( c3_1 @ a493 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp17
    | ~ ( c0_1 @ a493 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( ~ ( c0_1 @ a493 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl49,plain,
    ! [X55: $i,X56: $i,X57: $i] :
      ( ( c0_1 @ X55 )
      | ~ ( c2_1 @ X55 )
      | ~ ( c3_1 @ X55 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X56 )
      | ~ ( c1_1 @ X56 )
      | ~ ( c2_1 @ X56 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ( c3_1 @ X57 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c2_1 @ X53 )
        | ~ ( c3_1 @ X53 ) )
    | ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl26,plain,
    ! [X20: $i] :
      ( ( c2_1 @ X20 )
      | ~ ( c0_1 @ X20 )
      | ~ ( c3_1 @ X20 )
      | ~ ndr1_0
      | hskp5
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( hskp17
    | hskp5
    | ~ ndr1_0
    | ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp7
    | ( c3_1 @ a471 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl711,plain,
    ( ( c3_1 @ a471 )
   <= ( c3_1 @ a471 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl273_003,plain,
    ( ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1468,plain,
    ( ( ~ ( c0_1 @ a471 )
      | ~ ( c1_1 @ a471 ) )
   <= ( ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c3_1 @ a471 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl273]) ).

thf('12',plain,
    ( ~ ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c1_1 @ a471 )
    | ~ ( c3_1 @ a471 )
    | ~ ( c0_1 @ a471 ) ),
    inference(split,[status(esa)],[zip_derived_cl1468]) ).

thf(zip_derived_cl631,plain,
    ( ( c3_1 @ a493 )
   <= ( c3_1 @ a493 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl384_004,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c2_1 @ X53 )
        | ~ ( c3_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c2_1 @ X53 )
        | ~ ( c3_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl1544,plain,
    ( ( ( c0_1 @ a493 )
      | ~ ( c2_1 @ a493 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c2_1 @ X53 )
          | ~ ( c3_1 @ X53 ) )
      & ( c3_1 @ a493 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl384]) ).

thf('13',plain,
    ( ~ ( c2_1 @ a493 )
    | ~ ( c3_1 @ a493 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c2_1 @ X53 )
          | ~ ( c3_1 @ X53 ) )
    | ( c0_1 @ a493 ) ),
    inference(split,[status(esa)],[zip_derived_cl1544]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp11
    | ( c3_1 @ a479 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl679,plain,
    ( ( c3_1 @ a479 )
   <= ( c3_1 @ a479 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl332_005,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_cl34]) ).

thf(zip_derived_cl1445,plain,
    ( ( ( c1_1 @ a479 )
      | ~ ( c0_1 @ a479 ) )
   <= ( ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ~ ( c3_1 @ X32 ) )
      & ( c3_1 @ a479 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl679,zip_derived_cl332]) ).

thf('14',plain,
    ( ( c1_1 @ a479 )
    | ~ ( c3_1 @ a479 )
    | ~ ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ~ ( c3_1 @ X32 ) )
    | ~ ( c0_1 @ a479 ) ),
    inference(split,[status(esa)],[zip_derived_cl1445]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp4
    | ~ ( c0_1 @ a466 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('15',plain,
    ( ~ ( c0_1 @ a466 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a466 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( ~ ( c1_1 @ a466 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf('17',plain,
    ( ~ ( c3_1 @ a466 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl18,plain,
    ! [X7: $i] :
      ( ~ ( c0_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ( c2_1 @ X7 )
      | ~ ndr1_0
      | hskp18
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('18',plain,
    ( hskp4
    | hskp18
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl46,plain,
    ! [X51: $i,X52: $i] :
      ( ( c1_1 @ X51 )
      | ( c2_1 @ X51 )
      | ( c3_1 @ X51 )
      | ~ ndr1_0
      | ( c1_1 @ X52 )
      | ( c3_1 @ X52 )
      | ~ ( c0_1 @ X52 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('19',plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 ) )
    | ! [X47: $i] :
        ( ( c1_1 @ X47 )
        | ( c2_1 @ X47 )
        | ( c3_1 @ X47 ) )
    | hskp16
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl38,plain,
    ! [X38: $i] :
      ( ( c1_1 @ X38 )
      | ( c3_1 @ X38 )
      | ~ ( c0_1 @ X38 )
      | ~ ndr1_0
      | hskp20
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl348,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl203,plain,
    ( ~ hskp1
    | ~ ( c3_1 @ a463 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl761,plain,
    ( ~ ( c3_1 @ a463 )
   <= ~ ( c3_1 @ a463 ) ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl1413,plain,
    ( ( ~ ( c0_1 @ a463 )
      | ( c1_1 @ a463 ) )
   <= ( ~ ( c3_1 @ a463 )
      & ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl761]) ).

thf('20',plain,
    ( ~ ( c0_1 @ a463 )
    | ( c3_1 @ a463 )
    | ~ ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 ) )
    | ( c1_1 @ a463 ) ),
    inference(split,[status(esa)],[zip_derived_cl1413]) ).

thf(zip_derived_cl415_006,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c3_1 @ X68 )
        | ~ ( c2_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c3_1 @ X68 )
        | ~ ( c2_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl761_007,plain,
    ( ~ ( c3_1 @ a463 )
   <= ~ ( c3_1 @ a463 ) ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl1913,plain,
    ( ( ~ ( c2_1 @ a463 )
      | ( c0_1 @ a463 ) )
   <= ( ~ ( c3_1 @ a463 )
      & ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c3_1 @ X68 )
          | ~ ( c2_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl761]) ).

thf('21',plain,
    ( ( c0_1 @ a463 )
    | ( c3_1 @ a463 )
    | ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c3_1 @ X68 )
          | ~ ( c2_1 @ X68 ) )
    | ~ ( c2_1 @ a463 ) ),
    inference(split,[status(esa)],[zip_derived_cl1913]) ).

thf(zip_derived_cl42,plain,
    ! [X45: $i] :
      ( ( c1_1 @ X45 )
      | ( c2_1 @ X45 )
      | ~ ( c0_1 @ X45 )
      | ~ ndr1_0
      | hskp17
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl364,plain,
    ( ! [X45: $i] :
        ( ( c1_1 @ X45 )
        | ( c2_1 @ X45 )
        | ~ ( c0_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c1_1 @ X45 )
        | ( c2_1 @ X45 )
        | ~ ( c0_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp13
    | ~ ( c1_1 @ a482 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl663,plain,
    ( ~ ( c1_1 @ a482 )
   <= ~ ( c1_1 @ a482 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl1635,plain,
    ( ( ~ ( c0_1 @ a482 )
      | ( c2_1 @ a482 ) )
   <= ( ~ ( c1_1 @ a482 )
      & ! [X45: $i] :
          ( ( c1_1 @ X45 )
          | ( c2_1 @ X45 )
          | ~ ( c0_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl364,zip_derived_cl663]) ).

thf('22',plain,
    ( ~ ( c0_1 @ a482 )
    | ( c1_1 @ a482 )
    | ~ ! [X45: $i] :
          ( ( c1_1 @ X45 )
          | ( c2_1 @ X45 )
          | ~ ( c0_1 @ X45 ) )
    | ( c2_1 @ a482 ) ),
    inference(split,[status(esa)],[zip_derived_cl1635]) ).

thf(zip_derived_cl7,plain,
    ( hskp26
    | hskp16
    | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('23',plain,
    ( hskp13
    | hskp26
    | hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl60,plain,
    ! [X77: $i] :
      ( ( c0_1 @ X77 )
      | ( c2_1 @ X77 )
      | ~ ( c3_1 @ X77 )
      | ~ ndr1_0
      | hskp5
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('24',plain,
    ( ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ~ ( c3_1 @ X77 ) )
    | hskp12
    | hskp5
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp26
    | ( c1_1 @ a559 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( ~ hskp26
    | ( c1_1 @ a559 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl20,plain,
    ! [X10: $i] :
      ( ( c3_1 @ X10 )
      | ~ ( c1_1 @ X10 )
      | ~ ( c2_1 @ X10 )
      | ~ ndr1_0
      | hskp18
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl277,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp26
    | ~ ( c3_1 @ a559 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl561,plain,
    ( ~ ( c3_1 @ a559 )
   <= ~ ( c3_1 @ a559 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl844,plain,
    ( ( ~ ( c2_1 @ a559 )
      | ~ ( c1_1 @ a559 ) )
   <= ( ~ ( c3_1 @ a559 )
      & ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl277,zip_derived_cl561]) ).

thf('26',plain,
    ( ( c3_1 @ a559 )
    | ~ ( c1_1 @ a559 )
    | ~ ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ~ ( c2_1 @ a559 ) ),
    inference(split,[status(esa)],[zip_derived_cl844]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp26
    | ( c0_1 @ a559 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( ( c0_1 @ a559 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf('28',plain,
    ( ~ hskp26
    | ~ ( c3_1 @ a559 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl31,plain,
    ! [X26: $i,X27: $i] :
      ( ( c2_1 @ X26 )
      | ( c3_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X27 )
      | ~ ( c2_1 @ X27 )
      | ~ ( c3_1 @ X27 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl322,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_cl31]) ).

thf(zip_derived_cl561_008,plain,
    ( ~ ( c3_1 @ a559 )
   <= ~ ( c3_1 @ a559 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl1137,plain,
    ( ( ~ ( c0_1 @ a559 )
      | ( c2_1 @ a559 ) )
   <= ( ~ ( c3_1 @ a559 )
      & ! [X26: $i] :
          ( ( c2_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl561]) ).

thf('29',plain,
    ( ( c2_1 @ a559 )
    | ( c3_1 @ a559 )
    | ~ ! [X26: $i] :
          ( ( c2_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) )
    | ~ ( c0_1 @ a559 ) ),
    inference(split,[status(esa)],[zip_derived_cl1137]) ).

thf(zip_derived_cl27,plain,
    ! [X21: $i,X22: $i] :
      ( ( c2_1 @ X21 )
      | ~ ( c0_1 @ X21 )
      | ~ ( c1_1 @ X21 )
      | ~ ndr1_0
      | ( c3_1 @ X22 )
      | ~ ( c1_1 @ X22 )
      | ~ ( c2_1 @ X22 )
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('30',plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
    | hskp29
    | ~ ndr1_0
    | ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c1_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl322_009,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_cl31]) ).

thf(zip_derived_cl729_010,plain,
    ( ~ ( c3_1 @ a467 )
   <= ~ ( c3_1 @ a467 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl1129,plain,
    ( ( ~ ( c0_1 @ a467 )
      | ( c2_1 @ a467 ) )
   <= ( ~ ( c3_1 @ a467 )
      & ! [X26: $i] :
          ( ( c2_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl729]) ).

thf('31',plain,
    ( ( c2_1 @ a467 )
    | ( c3_1 @ a467 )
    | ~ ! [X26: $i] :
          ( ( c2_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) )
    | ~ ( c0_1 @ a467 ) ),
    inference(split,[status(esa)],[zip_derived_cl1129]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp5
    | ( c0_1 @ a467 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('32',plain,
    ( ( c0_1 @ a467 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp5
    | ~ ( c1_1 @ a467 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('33',plain,
    ( ~ ( c1_1 @ a467 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf('34',plain,
    ( ~ ( c3_1 @ a467 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl36,plain,
    ! [X35: $i,X36: $i] :
      ( ( c1_1 @ X35 )
      | ~ ( c0_1 @ X35 )
      | ~ ( c2_1 @ X35 )
      | ~ ndr1_0
      | ( c2_1 @ X36 )
      | ~ ( c0_1 @ X36 )
      | ~ ( c3_1 @ X36 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl341,plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ~ ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ~ ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl727,plain,
    ( ~ ( c1_1 @ a467 )
   <= ~ ( c1_1 @ a467 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl1300,plain,
    ( ( ~ ( c2_1 @ a467 )
      | ~ ( c0_1 @ a467 ) )
   <= ( ~ ( c1_1 @ a467 )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ~ ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl341,zip_derived_cl727]) ).

thf('35',plain,
    ( ( c1_1 @ a467 )
    | ~ ( c0_1 @ a467 )
    | ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ~ ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 ) )
    | ~ ( c2_1 @ a467 ) ),
    inference(split,[status(esa)],[zip_derived_cl1300]) ).

thf(zip_derived_cl711_011,plain,
    ( ( c3_1 @ a471 )
   <= ( c3_1 @ a471 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp8
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl241,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_cl11]) ).

thf(zip_derived_cl1466,plain,
    ( ( ~ ( c1_1 @ a471 )
      | ~ ( c2_1 @ a471 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a471 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl241]) ).

thf(zip_derived_cl2957,plain,
    ( ~ ( c1_1 @ a471 )
   <= ~ ( c1_1 @ a471 ) ),
    inference(split,[status(esa)],[zip_derived_cl1466]) ).

thf(zip_derived_cl364_012,plain,
    ( ! [X45: $i] :
        ( ( c1_1 @ X45 )
        | ( c2_1 @ X45 )
        | ~ ( c0_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c1_1 @ X45 )
        | ( c2_1 @ X45 )
        | ~ ( c0_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl2960,plain,
    ( ( ( c2_1 @ a471 )
      | ~ ( c0_1 @ a471 ) )
   <= ( ~ ( c1_1 @ a471 )
      & ! [X45: $i] :
          ( ( c1_1 @ X45 )
          | ( c2_1 @ X45 )
          | ~ ( c0_1 @ X45 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2957,zip_derived_cl364]) ).

thf('36',plain,
    ( ( c1_1 @ a471 )
    | ( c2_1 @ a471 )
    | ~ ! [X45: $i] :
          ( ( c1_1 @ X45 )
          | ( c2_1 @ X45 )
          | ~ ( c0_1 @ X45 ) )
    | ~ ( c0_1 @ a471 ) ),
    inference(split,[status(esa)],[zip_derived_cl2960]) ).

thf(zip_derived_cl10,plain,
    ( hskp29
    | hskp15
    | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('37',plain,
    ( hskp29
    | hskp9
    | hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp15
    | ( c0_1 @ a484 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( ( c0_1 @ a484 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp15
    | ( c2_1 @ a484 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('39',plain,
    ( ( c2_1 @ a484 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl341_013,plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ~ ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ~ ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl15,plain,
    ! [X4: $i] :
      ( ~ ( c0_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | hskp6
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl257,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_cl15]) ).

thf(zip_derived_cl1294,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ~ ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl341,zip_derived_cl257]) ).

thf(zip_derived_cl1342,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ~ ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1294]) ).

thf(zip_derived_cl28,plain,
    ! [X23: $i] :
      ( ( c2_1 @ X23 )
      | ( c3_1 @ X23 )
      | ~ ( c1_1 @ X23 )
      | ~ ndr1_0
      | hskp9
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl309,plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c1_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c1_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp15
    | ~ ( c3_1 @ a484 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl649,plain,
    ( ~ ( c3_1 @ a484 )
   <= ~ ( c3_1 @ a484 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1059,plain,
    ( ( ~ ( c1_1 @ a484 )
      | ( c2_1 @ a484 ) )
   <= ( ~ ( c3_1 @ a484 )
      & ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c1_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl649]) ).

thf(zip_derived_cl1163,plain,
    ( ( c2_1 @ a484 )
   <= ( c2_1 @ a484 ) ),
    inference(split,[status(esa)],[zip_derived_cl1059]) ).

thf(zip_derived_cl2206,plain,
    ( ~ ( c0_1 @ a484 )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ~ ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 ) )
      & ( c2_1 @ a484 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1342,zip_derived_cl1163]) ).

thf(zip_derived_cl645,plain,
    ( ( c0_1 @ a484 )
   <= ( c0_1 @ a484 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf('40',plain,
    ( ~ ( c0_1 @ a484 )
    | ~ ( c2_1 @ a484 )
    | ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ~ ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2206,zip_derived_cl645]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp29
    | ( c0_1 @ a474 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( ( c0_1 @ a474 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp29
    | ( c1_1 @ a474 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('42',plain,
    ( ( c1_1 @ a474 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp29
    | ( c2_1 @ a474 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('43',plain,
    ( ( c2_1 @ a474 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl535,plain,
    ( ( c1_1 @ a474 )
   <= ( c1_1 @ a474 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl257_014,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_cl15]) ).

thf(zip_derived_cl1194,plain,
    ( ( ~ ( c0_1 @ a474 )
      | ~ ( c2_1 @ a474 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ( c1_1 @ a474 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl257]) ).

thf('44',plain,
    ( ~ ( c0_1 @ a474 )
    | ~ ( c2_1 @ a474 )
    | ~ ( c1_1 @ a474 )
    | ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1194]) ).

thf(zip_derived_cl73,plain,
    ! [X102: $i,X103: $i,X104: $i] :
      ( ( c0_1 @ X102 )
      | ( c1_1 @ X102 )
      | ~ ( c2_1 @ X102 )
      | ~ ndr1_0
      | ( c1_1 @ X103 )
      | ~ ( c2_1 @ X103 )
      | ~ ( c3_1 @ X103 )
      | ~ ndr1_0
      | ( c2_1 @ X104 )
      | ( c3_1 @ X104 )
      | ~ ( c0_1 @ X104 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl489,plain,
    ( ! [X102: $i] :
        ( ( c0_1 @ X102 )
        | ( c1_1 @ X102 )
        | ~ ( c2_1 @ X102 ) )
   <= ! [X102: $i] :
        ( ( c0_1 @ X102 )
        | ( c1_1 @ X102 )
        | ~ ( c2_1 @ X102 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp21
    | ~ ( c1_1 @ a507 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl601,plain,
    ( ~ ( c1_1 @ a507 )
   <= ~ ( c1_1 @ a507 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl2071,plain,
    ( ( ~ ( c2_1 @ a507 )
      | ( c0_1 @ a507 ) )
   <= ( ~ ( c1_1 @ a507 )
      & ! [X102: $i] :
          ( ( c0_1 @ X102 )
          | ( c1_1 @ X102 )
          | ~ ( c2_1 @ X102 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl601]) ).

thf('45',plain,
    ( ~ ! [X102: $i] :
          ( ( c0_1 @ X102 )
          | ( c1_1 @ X102 )
          | ~ ( c2_1 @ X102 ) )
    | ~ ( c2_1 @ a507 )
    | ( c0_1 @ a507 )
    | ( c1_1 @ a507 ) ),
    inference(split,[status(esa)],[zip_derived_cl2071]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp21
    | ( c2_1 @ a507 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('46',plain,
    ( ( c2_1 @ a507 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp21
    | ~ ( c0_1 @ a507 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ~ ( c0_1 @ a507 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf('48',plain,
    ( ~ ( c1_1 @ a507 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf('49',plain,
    ( hskp21
    | ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) )
    | ~ ndr1_0
    | hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl201,plain,
    ( ~ hskp1
    | ( c2_1 @ a463 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('50',plain,
    ( ( c2_1 @ a463 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf(zip_derived_cl202,plain,
    ( ~ hskp1
    | ~ ( c1_1 @ a463 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('51',plain,
    ( ~ ( c1_1 @ a463 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf('52',plain,
    ( ~ ( c3_1 @ a463 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl344_015,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl761_016,plain,
    ( ~ ( c3_1 @ a463 )
   <= ~ ( c3_1 @ a463 ) ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl1360,plain,
    ( ( ~ ( c2_1 @ a463 )
      | ( c1_1 @ a463 ) )
   <= ( ~ ( c3_1 @ a463 )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c2_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl761]) ).

thf('53',plain,
    ( ( c1_1 @ a463 )
    | ( c3_1 @ a463 )
    | ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c2_1 @ X37 ) )
    | ~ ( c2_1 @ a463 ) ),
    inference(split,[status(esa)],[zip_derived_cl1360]) ).

thf(zip_derived_cl53,plain,
    ! [X65: $i] :
      ( ( c0_1 @ X65 )
      | ~ ( c1_1 @ X65 )
      | ~ ( c2_1 @ X65 )
      | ~ ndr1_0
      | hskp30
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( hskp30
    | hskp1
    | ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c2_1 @ X65 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl51,plain,
    ! [X61: $i,X62: $i] :
      ( ( c0_1 @ X61 )
      | ~ ( c1_1 @ X61 )
      | ~ ( c3_1 @ X61 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X62 )
      | ~ ( c2_1 @ X62 )
      | ~ ( c3_1 @ X62 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('55',plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ~ ( c1_1 @ X61 )
        | ~ ( c3_1 @ X61 ) )
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | hskp16
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl529_017,plain,
    ( ( c3_1 @ a488 )
   <= ( c3_1 @ a488 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl241_018,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_cl11]) ).

thf(zip_derived_cl1186,plain,
    ( ( ~ ( c1_1 @ a488 )
      | ~ ( c2_1 @ a488 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a488 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl529,zip_derived_cl241]) ).

thf('56',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a488 )
    | ~ ( c3_1 @ a488 )
    | ~ ( c1_1 @ a488 ) ),
    inference(split,[status(esa)],[zip_derived_cl1186]) ).

thf('57',plain,
    ( ( c3_1 @ a488 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl529_019,plain,
    ( ( c3_1 @ a488 )
   <= ( c3_1 @ a488 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl401,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ~ ( c1_1 @ X61 )
        | ~ ( c3_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ~ ( c1_1 @ X61 )
        | ~ ( c3_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl1613,plain,
    ( ( ( c0_1 @ a488 )
      | ~ ( c1_1 @ a488 ) )
   <= ( ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ~ ( c1_1 @ X61 )
          | ~ ( c3_1 @ X61 ) )
      & ( c3_1 @ a488 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl529,zip_derived_cl401]) ).

thf('58',plain,
    ( ( c0_1 @ a488 )
    | ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ~ ( c1_1 @ X61 )
          | ~ ( c3_1 @ X61 ) )
    | ~ ( c1_1 @ a488 )
    | ~ ( c3_1 @ a488 ) ),
    inference(split,[status(esa)],[zip_derived_cl1613]) ).

thf(zip_derived_cl104,plain,
    ( ~ hskp25
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('59',plain,
    ( ~ hskp25
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl104]) ).

thf(zip_derived_cl35,plain,
    ! [X33: $i,X34: $i] :
      ( ( c1_1 @ X33 )
      | ~ ( c0_1 @ X33 )
      | ~ ( c3_1 @ X33 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X34 )
      | ~ ( c1_1 @ X34 )
      | ~ ( c2_1 @ X34 )
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('60',plain,
    ( ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ~ ( c3_1 @ X32 ) )
    | hskp18
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl17,plain,
    ! [X6: $i] :
      ( ~ ( c0_1 @ X6 )
      | ~ ( c1_1 @ X6 )
      | ~ ( c2_1 @ X6 )
      | ~ ndr1_0
      | hskp14
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('61',plain,
    ( hskp14
    | hskp10
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl32,plain,
    ! [X28: $i,X29: $i] :
      ( ( c2_1 @ X28 )
      | ( c3_1 @ X28 )
      | ~ ( c0_1 @ X28 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X29 )
      | ~ ( c1_1 @ X29 )
      | ~ ( c2_1 @ X29 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( ! [X26: $i] :
        ( ( c2_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) )
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp8
    | ( c3_1 @ a472 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl703,plain,
    ( ( c3_1 @ a472 )
   <= ( c3_1 @ a472 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl435,plain,
    ( ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ~ ( c3_1 @ X77 ) )
   <= ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ~ ( c3_1 @ X77 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl1791,plain,
    ( ( ( c0_1 @ a472 )
      | ( c2_1 @ a472 ) )
   <= ( ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c2_1 @ X77 )
          | ~ ( c3_1 @ X77 ) )
      & ( c3_1 @ a472 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl703,zip_derived_cl435]) ).

thf('63',plain,
    ( ( c0_1 @ a472 )
    | ( c2_1 @ a472 )
    | ~ ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c2_1 @ X77 )
          | ~ ( c3_1 @ X77 ) )
    | ~ ( c3_1 @ a472 ) ),
    inference(split,[status(esa)],[zip_derived_cl1791]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp8
    | ( c1_1 @ a472 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl701,plain,
    ( ( c1_1 @ a472 )
   <= ( c1_1 @ a472 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl306,plain,
    ( ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c1_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c1_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1456,plain,
    ( ( ( c2_1 @ a472 )
      | ~ ( c0_1 @ a472 ) )
   <= ( ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c1_1 @ X21 ) )
      & ( c1_1 @ a472 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl701,zip_derived_cl306]) ).

thf('64',plain,
    ( ~ ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c1_1 @ X21 ) )
    | ~ ( c0_1 @ a472 )
    | ( c2_1 @ a472 )
    | ~ ( c1_1 @ a472 ) ),
    inference(split,[status(esa)],[zip_derived_cl1456]) ).

thf(zip_derived_cl703_020,plain,
    ( ( c3_1 @ a472 )
   <= ( c3_1 @ a472 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl301,plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1464,plain,
    ( ( ( c2_1 @ a472 )
      | ~ ( c0_1 @ a472 ) )
   <= ( ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
      & ( c3_1 @ a472 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl703,zip_derived_cl301]) ).

thf('65',plain,
    ( ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ~ ( c0_1 @ a472 )
    | ~ ( c3_1 @ a472 )
    | ( c2_1 @ a472 ) ),
    inference(split,[status(esa)],[zip_derived_cl1464]) ).

thf(zip_derived_cl703_021,plain,
    ( ( c3_1 @ a472 )
   <= ( c3_1 @ a472 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl401_022,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ~ ( c1_1 @ X61 )
        | ~ ( c3_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ~ ( c1_1 @ X61 )
        | ~ ( c3_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl1606,plain,
    ( ( ( c0_1 @ a472 )
      | ~ ( c1_1 @ a472 ) )
   <= ( ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ~ ( c1_1 @ X61 )
          | ~ ( c3_1 @ X61 ) )
      & ( c3_1 @ a472 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl703,zip_derived_cl401]) ).

thf('66',plain,
    ( ( c0_1 @ a472 )
    | ~ ( c3_1 @ a472 )
    | ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ~ ( c1_1 @ X61 )
          | ~ ( c3_1 @ X61 ) )
    | ~ ( c1_1 @ a472 ) ),
    inference(split,[status(esa)],[zip_derived_cl1606]) ).

thf(zip_derived_cl703_023,plain,
    ( ( c3_1 @ a472 )
   <= ( c3_1 @ a472 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl62,plain,
    ! [X80: $i,X81: $i] :
      ( ( c0_1 @ X80 )
      | ( c2_1 @ X80 )
      | ~ ( c3_1 @ X80 )
      | ~ ndr1_0
      | ( c2_1 @ X81 )
      | ~ ( c1_1 @ X81 )
      | ~ ( c3_1 @ X81 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl443,plain,
    ( ! [X81: $i] :
        ( ( c2_1 @ X81 )
        | ~ ( c1_1 @ X81 )
        | ~ ( c3_1 @ X81 ) )
   <= ! [X81: $i] :
        ( ( c2_1 @ X81 )
        | ~ ( c1_1 @ X81 )
        | ~ ( c3_1 @ X81 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl1708,plain,
    ( ( ( c2_1 @ a472 )
      | ~ ( c1_1 @ a472 ) )
   <= ( ! [X81: $i] :
          ( ( c2_1 @ X81 )
          | ~ ( c1_1 @ X81 )
          | ~ ( c3_1 @ X81 ) )
      & ( c3_1 @ a472 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl703,zip_derived_cl443]) ).

thf('67',plain,
    ( ~ ! [X81: $i] :
          ( ( c2_1 @ X81 )
          | ~ ( c1_1 @ X81 )
          | ~ ( c3_1 @ X81 ) )
    | ~ ( c1_1 @ a472 )
    | ~ ( c3_1 @ a472 )
    | ( c2_1 @ a472 ) ),
    inference(split,[status(esa)],[zip_derived_cl1708]) ).

thf('68',plain,
    ( ( c1_1 @ a472 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf('69',plain,
    ( ( c3_1 @ a472 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp8
    | ~ ( c2_1 @ a472 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('70',plain,
    ( ~ ( c2_1 @ a472 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl2,plain,
    ( hskp7
    | hskp8
    | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('71',plain,
    ( hskp8
    | hskp27
    | hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp27
    | ~ ( c1_1 @ a576 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('72',plain,
    ( ~ ( c1_1 @ a576 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp27
    | ~ ( c2_1 @ a576 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('73',plain,
    ( ~ hskp27
    | ~ ( c2_1 @ a576 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp27
    | ~ ( c3_1 @ a576 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('74',plain,
    ( ~ hskp27
    | ~ ( c3_1 @ a576 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl372_024,plain,
    ( ! [X47: $i] :
        ( ( c1_1 @ X47 )
        | ( c2_1 @ X47 )
        | ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c1_1 @ X47 )
        | ( c2_1 @ X47 )
        | ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl553,plain,
    ( ~ ( c3_1 @ a576 )
   <= ~ ( c3_1 @ a576 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl1748,plain,
    ( ( ( c2_1 @ a576 )
      | ( c1_1 @ a576 ) )
   <= ( ~ ( c3_1 @ a576 )
      & ! [X47: $i] :
          ( ( c1_1 @ X47 )
          | ( c2_1 @ X47 )
          | ( c3_1 @ X47 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl553]) ).

thf('75',plain,
    ( ( c2_1 @ a576 )
    | ( c1_1 @ a576 )
    | ~ ! [X47: $i] :
          ( ( c1_1 @ X47 )
          | ( c2_1 @ X47 )
          | ( c3_1 @ X47 ) )
    | ( c3_1 @ a576 ) ),
    inference(split,[status(esa)],[zip_derived_cl1748]) ).

thf('76',plain,
    ( hskp14
    | ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c1_1 @ X23 ) )
    | ! [X47: $i] :
        ( ( c1_1 @ X47 )
        | ( c2_1 @ X47 )
        | ( c3_1 @ X47 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl711_025,plain,
    ( ( c3_1 @ a471 )
   <= ( c3_1 @ a471 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl332_026,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_cl34]) ).

thf(zip_derived_cl1470,plain,
    ( ( ( c1_1 @ a471 )
      | ~ ( c0_1 @ a471 ) )
   <= ( ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ~ ( c3_1 @ X32 ) )
      & ( c3_1 @ a471 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl332]) ).

thf(zip_derived_cl5864,plain,
    ( ( c1_1 @ a471 )
   <= ( c1_1 @ a471 ) ),
    inference(split,[status(esa)],[zip_derived_cl1470]) ).

thf(zip_derived_cl306_027,plain,
    ( ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c1_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c1_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl5889,plain,
    ( ( ( c2_1 @ a471 )
      | ~ ( c0_1 @ a471 ) )
   <= ( ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c1_1 @ X21 ) )
      & ( c1_1 @ a471 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5864,zip_derived_cl306]) ).

thf('77',plain,
    ( ~ ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c1_1 @ X21 ) )
    | ~ ( c1_1 @ a471 )
    | ~ ( c0_1 @ a471 )
    | ( c2_1 @ a471 ) ),
    inference(split,[status(esa)],[zip_derived_cl5889]) ).

thf(zip_derived_cl59,plain,
    ! [X74: $i,X75: $i,X76: $i] :
      ( ( c0_1 @ X74 )
      | ( c3_1 @ X74 )
      | ~ ( c1_1 @ X74 )
      | ~ ndr1_0
      | ( c1_1 @ X75 )
      | ( c3_1 @ X75 )
      | ~ ( c2_1 @ X75 )
      | ~ ndr1_0
      | ( c2_1 @ X76 )
      | ~ ( c0_1 @ X76 )
      | ~ ( c1_1 @ X76 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('78',plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) )
    | ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c3_1 @ X72 )
        | ~ ( c1_1 @ X72 ) )
    | ~ ndr1_0
    | ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c1_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl344_028,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp10
    | ~ ( c3_1 @ a478 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl689,plain,
    ( ~ ( c3_1 @ a478 )
   <= ~ ( c3_1 @ a478 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl1363,plain,
    ( ( ~ ( c2_1 @ a478 )
      | ( c1_1 @ a478 ) )
   <= ( ~ ( c3_1 @ a478 )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c2_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl689]) ).

thf('79',plain,
    ( ( c1_1 @ a478 )
    | ( c3_1 @ a478 )
    | ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c2_1 @ X37 ) )
    | ~ ( c2_1 @ a478 ) ),
    inference(split,[status(esa)],[zip_derived_cl1363]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp13
    | ( c3_1 @ a482 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl661,plain,
    ( ( c3_1 @ a482 )
   <= ( c3_1 @ a482 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl435_029,plain,
    ( ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ~ ( c3_1 @ X77 ) )
   <= ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ~ ( c3_1 @ X77 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl1794,plain,
    ( ( ( c0_1 @ a482 )
      | ( c2_1 @ a482 ) )
   <= ( ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c2_1 @ X77 )
          | ~ ( c3_1 @ X77 ) )
      & ( c3_1 @ a482 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl661,zip_derived_cl435]) ).

thf('80',plain,
    ( ( c0_1 @ a482 )
    | ~ ( c3_1 @ a482 )
    | ~ ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c2_1 @ X77 )
          | ~ ( c3_1 @ X77 ) )
    | ( c2_1 @ a482 ) ),
    inference(split,[status(esa)],[zip_derived_cl1794]) ).

thf(zip_derived_cl661_030,plain,
    ( ( c3_1 @ a482 )
   <= ( c3_1 @ a482 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl41,plain,
    ! [X42: $i,X43: $i,X44: $i] :
      ( ( c1_1 @ X42 )
      | ( c2_1 @ X42 )
      | ~ ( c3_1 @ X42 )
      | ~ ndr1_0
      | ( c1_1 @ X43 )
      | ~ ( c0_1 @ X43 )
      | ~ ( c3_1 @ X43 )
      | ~ ndr1_0
      | ( c2_1 @ X44 )
      | ( c3_1 @ X44 )
      | ~ ( c1_1 @ X44 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl362,plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1575,plain,
    ( ( ( c1_1 @ a482 )
      | ( c2_1 @ a482 ) )
   <= ( ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c3_1 @ a482 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl661,zip_derived_cl362]) ).

thf('81',plain,
    ( ~ ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c3_1 @ a482 )
    | ( c1_1 @ a482 )
    | ( c2_1 @ a482 ) ),
    inference(split,[status(esa)],[zip_derived_cl1575]) ).

thf('82',plain,
    ( ( c3_1 @ a482 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf('83',plain,
    ( ~ ( c1_1 @ a482 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp13
    | ~ ( c2_1 @ a482 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( ~ ( c2_1 @ a482 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl58,plain,
    ! [X72: $i,X73: $i] :
      ( ( c0_1 @ X72 )
      | ( c3_1 @ X72 )
      | ~ ( c1_1 @ X72 )
      | ~ ndr1_0
      | ( c1_1 @ X73 )
      | ~ ( c0_1 @ X73 )
      | ~ ( c2_1 @ X73 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('85',plain,
    ( hskp13
    | ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c3_1 @ X72 )
        | ~ ( c1_1 @ X72 ) )
    | ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ~ ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf('86',plain,
    ( ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ~ ( c3_1 @ X77 ) )
    | ! [X81: $i] :
        ( ( c2_1 @ X81 )
        | ~ ( c1_1 @ X81 )
        | ~ ( c3_1 @ X81 ) )
    | hskp10
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl661_031,plain,
    ( ( c3_1 @ a482 )
   <= ( c3_1 @ a482 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl332_032,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_cl34]) ).

thf(zip_derived_cl1399,plain,
    ( ( ( c1_1 @ a482 )
      | ~ ( c0_1 @ a482 ) )
   <= ( ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ~ ( c3_1 @ X32 ) )
      & ( c3_1 @ a482 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl661,zip_derived_cl332]) ).

thf('87',plain,
    ( ~ ( c0_1 @ a482 )
    | ( c1_1 @ a482 )
    | ~ ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ~ ( c3_1 @ X32 ) )
    | ~ ( c3_1 @ a482 ) ),
    inference(split,[status(esa)],[zip_derived_cl1399]) ).

thf(zip_derived_cl428,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c3_1 @ X72 )
        | ~ ( c1_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c3_1 @ X72 )
        | ~ ( c1_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp12
    | ~ ( c3_1 @ a481 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl673,plain,
    ( ~ ( c3_1 @ a481 )
   <= ~ ( c3_1 @ a481 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1967,plain,
    ( ( ~ ( c1_1 @ a481 )
      | ( c0_1 @ a481 ) )
   <= ( ~ ( c3_1 @ a481 )
      & ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c3_1 @ X72 )
          | ~ ( c1_1 @ X72 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl673]) ).

thf('88',plain,
    ( ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c3_1 @ X72 )
          | ~ ( c1_1 @ X72 ) )
    | ( c0_1 @ a481 )
    | ( c3_1 @ a481 )
    | ~ ( c1_1 @ a481 ) ),
    inference(split,[status(esa)],[zip_derived_cl1967]) ).

thf(zip_derived_cl711_033,plain,
    ( ( c3_1 @ a471 )
   <= ( c3_1 @ a471 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl362_034,plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1571,plain,
    ( ( ( c1_1 @ a471 )
      | ( c2_1 @ a471 ) )
   <= ( ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c3_1 @ a471 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl362]) ).

thf('89',plain,
    ( ~ ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ( c1_1 @ a471 )
    | ~ ( c3_1 @ a471 )
    | ( c2_1 @ a471 ) ),
    inference(split,[status(esa)],[zip_derived_cl1571]) ).

thf(zip_derived_cl711_035,plain,
    ( ( c3_1 @ a471 )
   <= ( c3_1 @ a471 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl443_036,plain,
    ( ! [X81: $i] :
        ( ( c2_1 @ X81 )
        | ~ ( c1_1 @ X81 )
        | ~ ( c3_1 @ X81 ) )
   <= ! [X81: $i] :
        ( ( c2_1 @ X81 )
        | ~ ( c1_1 @ X81 )
        | ~ ( c3_1 @ X81 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl1707,plain,
    ( ( ( c2_1 @ a471 )
      | ~ ( c1_1 @ a471 ) )
   <= ( ! [X81: $i] :
          ( ( c2_1 @ X81 )
          | ~ ( c1_1 @ X81 )
          | ~ ( c3_1 @ X81 ) )
      & ( c3_1 @ a471 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl443]) ).

thf('90',plain,
    ( ~ ! [X81: $i] :
          ( ( c2_1 @ X81 )
          | ~ ( c1_1 @ X81 )
          | ~ ( c3_1 @ X81 ) )
    | ~ ( c1_1 @ a471 )
    | ( c2_1 @ a471 )
    | ~ ( c3_1 @ a471 ) ),
    inference(split,[status(esa)],[zip_derived_cl1707]) ).

thf('91',plain,
    ( ( c1_1 @ a471 )
    | ~ ( c0_1 @ a471 )
    | ~ ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ~ ( c3_1 @ X32 ) )
    | ~ ( c3_1 @ a471 ) ),
    inference(split,[status(esa)],[zip_derived_cl1470]) ).

thf('92',plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
    | ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ~ ( c3_1 @ X32 ) )
    | ~ ndr1_0
    | ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c1_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp31
    | ( c1_1 @ a529 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl519,plain,
    ( ( c1_1 @ a529 )
   <= ( c1_1 @ a529 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl257_037,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_cl15]) ).

thf(zip_derived_cl1168,plain,
    ( ( ~ ( c0_1 @ a529 )
      | ~ ( c2_1 @ a529 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ( c1_1 @ a529 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl519,zip_derived_cl257]) ).

thf('93',plain,
    ( ~ ( c2_1 @ a529 )
    | ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c0_1 @ a529 )
    | ~ ( c1_1 @ a529 ) ),
    inference(split,[status(esa)],[zip_derived_cl1168]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp31
    | ( c0_1 @ a529 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ( c0_1 @ a529 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('95',plain,
    ( ( c1_1 @ a529 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp31
    | ( c3_1 @ a529 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('96',plain,
    ( ( c3_1 @ a529 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl679_038,plain,
    ( ( c3_1 @ a479 )
   <= ( c3_1 @ a479 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl45,plain,
    ! [X49: $i,X50: $i] :
      ( ( c1_1 @ X49 )
      | ( c2_1 @ X49 )
      | ( c3_1 @ X49 )
      | ~ ndr1_0
      | ( c1_1 @ X50 )
      | ~ ( c2_1 @ X50 )
      | ~ ( c3_1 @ X50 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl376,plain,
    ( ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1508,plain,
    ( ( ( c1_1 @ a479 )
      | ~ ( c2_1 @ a479 ) )
   <= ( ! [X50: $i] :
          ( ( c1_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c3_1 @ a479 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl679,zip_derived_cl376]) ).

thf('97',plain,
    ( ~ ! [X50: $i] :
          ( ( c1_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c3_1 @ a479 )
    | ~ ( c2_1 @ a479 )
    | ( c1_1 @ a479 ) ),
    inference(split,[status(esa)],[zip_derived_cl1508]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp11
    | ( c0_1 @ a479 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('98',plain,
    ( ( c0_1 @ a479 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf('99',plain,
    ( ~ hskp11
    | ( c3_1 @ a479 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a479 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('100',plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a479 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl3,plain,
    ( hskp11
    | hskp12
    | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( hskp12
    | hskp9
    | hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp9
    | ( c2_1 @ a477 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('102',plain,
    ( ( c2_1 @ a477 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf('103',plain,
    ( ( c3_1 @ a477 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a477 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( ~ ( c1_1 @ a477 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl695_039,plain,
    ( ( c3_1 @ a477 )
   <= ( c3_1 @ a477 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl376_040,plain,
    ( ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1507,plain,
    ( ( ( c1_1 @ a477 )
      | ~ ( c2_1 @ a477 ) )
   <= ( ! [X50: $i] :
          ( ( c1_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c3_1 @ a477 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl376]) ).

thf('105',plain,
    ( ~ ! [X50: $i] :
          ( ( c1_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c2_1 @ a477 )
    | ~ ( c3_1 @ a477 )
    | ( c1_1 @ a477 ) ),
    inference(split,[status(esa)],[zip_derived_cl1507]) ).

thf('106',plain,
    ( ! [X26: $i] :
        ( ( c2_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) )
    | ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | ~ ndr1_0
    | ! [X102: $i] :
        ( ( c0_1 @ X102 )
        | ( c1_1 @ X102 )
        | ~ ( c2_1 @ X102 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp18
    | ( c0_1 @ a494 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( ( c0_1 @ a494 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a494 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a494 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp18
    | ~ ( c3_1 @ a494 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('109',plain,
    ( ~ hskp18
    | ~ ( c3_1 @ a494 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl322_041,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_cl31]) ).

thf(zip_derived_cl625,plain,
    ( ~ ( c3_1 @ a494 )
   <= ~ ( c3_1 @ a494 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl1133,plain,
    ( ( ~ ( c0_1 @ a494 )
      | ( c2_1 @ a494 ) )
   <= ( ~ ( c3_1 @ a494 )
      & ! [X26: $i] :
          ( ( c2_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl625]) ).

thf('110',plain,
    ( ( c2_1 @ a494 )
    | ( c3_1 @ a494 )
    | ~ ! [X26: $i] :
          ( ( c2_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) )
    | ~ ( c0_1 @ a494 ) ),
    inference(split,[status(esa)],[zip_derived_cl1133]) ).

thf(zip_derived_cl43,plain,
    ! [X46: $i] :
      ( ( c1_1 @ X46 )
      | ( c2_1 @ X46 )
      | ~ ( c0_1 @ X46 )
      | ~ ndr1_0
      | hskp18
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('111',plain,
    ( ! [X45: $i] :
        ( ( c1_1 @ X45 )
        | ( c2_1 @ X45 )
        | ~ ( c0_1 @ X45 ) )
    | hskp19
    | hskp18
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl489_042,plain,
    ( ! [X102: $i] :
        ( ( c0_1 @ X102 )
        | ( c1_1 @ X102 )
        | ~ ( c2_1 @ X102 ) )
   <= ! [X102: $i] :
        ( ( c0_1 @ X102 )
        | ( c1_1 @ X102 )
        | ~ ( c2_1 @ X102 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl277_043,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl689_044,plain,
    ( ~ ( c3_1 @ a478 )
   <= ~ ( c3_1 @ a478 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl837,plain,
    ( ( ~ ( c2_1 @ a478 )
      | ~ ( c1_1 @ a478 ) )
   <= ( ~ ( c3_1 @ a478 )
      & ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl277,zip_derived_cl689]) ).

thf(zip_derived_cl869,plain,
    ( ~ ( c1_1 @ a478 )
   <= ~ ( c1_1 @ a478 ) ),
    inference(split,[status(esa)],[zip_derived_cl837]) ).

thf(zip_derived_cl2062,plain,
    ( ( ~ ( c2_1 @ a478 )
      | ( c0_1 @ a478 ) )
   <= ( ~ ( c1_1 @ a478 )
      & ! [X102: $i] :
          ( ( c0_1 @ X102 )
          | ( c1_1 @ X102 )
          | ~ ( c2_1 @ X102 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl869]) ).

thf('112',plain,
    ( ~ ! [X102: $i] :
          ( ( c0_1 @ X102 )
          | ( c1_1 @ X102 )
          | ~ ( c2_1 @ X102 ) )
    | ( c1_1 @ a478 )
    | ( c0_1 @ a478 )
    | ~ ( c2_1 @ a478 ) ),
    inference(split,[status(esa)],[zip_derived_cl2062]) ).

thf(zip_derived_cl4547,plain,
    ( ( c1_1 @ a478 )
   <= ( c1_1 @ a478 ) ),
    inference(split,[status(esa)],[zip_derived_cl1363]) ).

thf(zip_derived_cl408,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c2_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c2_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl4565,plain,
    ( ( ( c0_1 @ a478 )
      | ~ ( c2_1 @ a478 ) )
   <= ( ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c2_1 @ X65 ) )
      & ( c1_1 @ a478 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4547,zip_derived_cl408]) ).

thf('113',plain,
    ( ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c2_1 @ X65 ) )
    | ~ ( c1_1 @ a478 )
    | ( c0_1 @ a478 )
    | ~ ( c2_1 @ a478 ) ),
    inference(split,[status(esa)],[zip_derived_cl4565]) ).

thf(zip_derived_cl8,plain,
    ( hskp31
    | hskp19
    | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('114',plain,
    ( hskp31
    | hskp19
    | hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp19
    | ( c1_1 @ a500 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('115',plain,
    ( ( c1_1 @ a500 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp19
    | ~ ( c2_1 @ a500 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( ~ ( c2_1 @ a500 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a500 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('117',plain,
    ( ~ ( c3_1 @ a500 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl309_045,plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c1_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c1_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl617,plain,
    ( ~ ( c3_1 @ a500 )
   <= ~ ( c3_1 @ a500 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl1061,plain,
    ( ( ~ ( c1_1 @ a500 )
      | ( c2_1 @ a500 ) )
   <= ( ~ ( c3_1 @ a500 )
      & ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c1_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl617]) ).

thf('118',plain,
    ( ( c2_1 @ a500 )
    | ( c3_1 @ a500 )
    | ~ ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c1_1 @ X23 ) )
    | ~ ( c1_1 @ a500 ) ),
    inference(split,[status(esa)],[zip_derived_cl1061]) ).

thf(zip_derived_cl679_046,plain,
    ( ( c3_1 @ a479 )
   <= ( c3_1 @ a479 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl301_047,plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1444,plain,
    ( ( ( c2_1 @ a479 )
      | ~ ( c0_1 @ a479 ) )
   <= ( ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
      & ( c3_1 @ a479 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl679,zip_derived_cl301]) ).

thf('119',plain,
    ( ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ~ ( c3_1 @ a479 )
    | ( c2_1 @ a479 )
    | ~ ( c0_1 @ a479 ) ),
    inference(split,[status(esa)],[zip_derived_cl1444]) ).

thf(zip_derived_cl204,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('120',plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl204]) ).

thf(zip_derived_cl205,plain,
    ( ~ hskp0
    | ( c0_1 @ a462 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('121',plain,
    ( ( c0_1 @ a462 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl205]) ).

thf(zip_derived_cl206,plain,
    ( ~ hskp0
    | ( c2_1 @ a462 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( ( c2_1 @ a462 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl206]) ).

thf(zip_derived_cl207,plain,
    ( ~ hskp0
    | ~ ( c1_1 @ a462 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( ~ ( c1_1 @ a462 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl207]) ).

thf(zip_derived_cl341_048,plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ~ ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ~ ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl769,plain,
    ( ~ ( c1_1 @ a462 )
   <= ~ ( c1_1 @ a462 ) ),
    inference(split,[status(esa)],[zip_derived_cl207]) ).

thf(zip_derived_cl1296,plain,
    ( ( ~ ( c2_1 @ a462 )
      | ~ ( c0_1 @ a462 ) )
   <= ( ~ ( c1_1 @ a462 )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ~ ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl341,zip_derived_cl769]) ).

thf('124',plain,
    ( ~ ( c2_1 @ a462 )
    | ( c1_1 @ a462 )
    | ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ~ ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 ) )
    | ~ ( c0_1 @ a462 ) ),
    inference(split,[status(esa)],[zip_derived_cl1296]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp7
    | ( c0_1 @ a471 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('125',plain,
    ( ( c0_1 @ a471 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf('126',plain,
    ( ( c3_1 @ a471 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp7
    | ~ ( c2_1 @ a471 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('127',plain,
    ( ~ ( c2_1 @ a471 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl711_049,plain,
    ( ( c3_1 @ a471 )
   <= ( c3_1 @ a471 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl301_050,plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1469,plain,
    ( ( ( c2_1 @ a471 )
      | ~ ( c0_1 @ a471 ) )
   <= ( ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
      & ( c3_1 @ a471 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl301]) ).

thf('128',plain,
    ( ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ~ ( c0_1 @ a471 )
    | ( c2_1 @ a471 )
    | ~ ( c3_1 @ a471 ) ),
    inference(split,[status(esa)],[zip_derived_cl1469]) ).

thf(zip_derived_cl176,plain,
    ( ~ hskp7
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('129',plain,
    ( ~ hskp7
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl176]) ).

thf(zip_derived_cl309_051,plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c1_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c1_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl673_052,plain,
    ( ~ ( c3_1 @ a481 )
   <= ~ ( c3_1 @ a481 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1058,plain,
    ( ( ~ ( c1_1 @ a481 )
      | ( c2_1 @ a481 ) )
   <= ( ~ ( c3_1 @ a481 )
      & ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c1_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl673]) ).

thf('130',plain,
    ( ( c2_1 @ a481 )
    | ~ ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c1_1 @ X23 ) )
    | ( c3_1 @ a481 )
    | ~ ( c1_1 @ a481 ) ),
    inference(split,[status(esa)],[zip_derived_cl1058]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp12
    | ( c1_1 @ a481 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( ( c1_1 @ a481 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a481 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( ~ ( c0_1 @ a481 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf('133',plain,
    ( ~ ( c3_1 @ a481 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl669,plain,
    ( ( c1_1 @ a481 )
   <= ( c1_1 @ a481 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl408_053,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c2_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c2_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl1676,plain,
    ( ( ( c0_1 @ a481 )
      | ~ ( c2_1 @ a481 ) )
   <= ( ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c2_1 @ X65 ) )
      & ( c1_1 @ a481 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl669,zip_derived_cl408]) ).

thf('134',plain,
    ( ~ ( c2_1 @ a481 )
    | ~ ( c1_1 @ a481 )
    | ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c2_1 @ X65 ) )
    | ( c0_1 @ a481 ) ),
    inference(split,[status(esa)],[zip_derived_cl1676]) ).

thf(zip_derived_cl521,plain,
    ( ( c3_1 @ a529 )
   <= ( c3_1 @ a529 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl301_054,plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1177,plain,
    ( ( ( c2_1 @ a529 )
      | ~ ( c0_1 @ a529 ) )
   <= ( ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
      & ( c3_1 @ a529 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl301]) ).

thf('135',plain,
    ( ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ( c2_1 @ a529 )
    | ~ ( c0_1 @ a529 )
    | ~ ( c3_1 @ a529 ) ),
    inference(split,[status(esa)],[zip_derived_cl1177]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp30
    | ( c1_1 @ a488 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('136',plain,
    ( ( c1_1 @ a488 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp30
    | ( c2_1 @ a488 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ( c2_1 @ a488 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl525,plain,
    ( ( c1_1 @ a488 )
   <= ( c1_1 @ a488 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl257_055,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_cl15]) ).

thf(zip_derived_cl1180,plain,
    ( ( ~ ( c0_1 @ a488 )
      | ~ ( c2_1 @ a488 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ( c1_1 @ a488 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl525,zip_derived_cl257]) ).

thf('138',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c0_1 @ a488 )
    | ~ ( c2_1 @ a488 )
    | ~ ( c1_1 @ a488 ) ),
    inference(split,[status(esa)],[zip_derived_cl1180]) ).

thf(zip_derived_cl525_056,plain,
    ( ( c1_1 @ a488 )
   <= ( c1_1 @ a488 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl408_057,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c2_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c2_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl1685,plain,
    ( ( ( c0_1 @ a488 )
      | ~ ( c2_1 @ a488 ) )
   <= ( ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c2_1 @ X65 ) )
      & ( c1_1 @ a488 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl525,zip_derived_cl408]) ).

thf('139',plain,
    ( ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c2_1 @ X65 ) )
    | ( c0_1 @ a488 )
    | ~ ( c2_1 @ a488 )
    | ~ ( c1_1 @ a488 ) ),
    inference(split,[status(esa)],[zip_derived_cl1685]) ).

thf('140',plain,
    ( hskp12
    | ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
    | ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ~ ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl415_058,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c3_1 @ X68 )
        | ~ ( c2_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c3_1 @ X68 )
        | ~ ( c2_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl673_059,plain,
    ( ~ ( c3_1 @ a481 )
   <= ~ ( c3_1 @ a481 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1917,plain,
    ( ( ~ ( c2_1 @ a481 )
      | ( c0_1 @ a481 ) )
   <= ( ~ ( c3_1 @ a481 )
      & ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c3_1 @ X68 )
          | ~ ( c2_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl673]) ).

thf('141',plain,
    ( ~ ( c2_1 @ a481 )
    | ( c0_1 @ a481 )
    | ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c3_1 @ X68 )
          | ~ ( c2_1 @ X68 ) )
    | ( c3_1 @ a481 ) ),
    inference(split,[status(esa)],[zip_derived_cl1917]) ).

thf(zip_derived_cl84,plain,
    ( ~ hskp30
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('142',plain,
    ( ~ hskp30
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl84]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp14
    | ( c1_1 @ a483 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl653,plain,
    ( ( c1_1 @ a483 )
   <= ( c1_1 @ a483 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl408_060,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c2_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c2_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl1677,plain,
    ( ( ( c0_1 @ a483 )
      | ~ ( c2_1 @ a483 ) )
   <= ( ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c2_1 @ X65 ) )
      & ( c1_1 @ a483 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl653,zip_derived_cl408]) ).

thf('143',plain,
    ( ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c2_1 @ X65 ) )
    | ~ ( c1_1 @ a483 )
    | ( c0_1 @ a483 )
    | ~ ( c2_1 @ a483 ) ),
    inference(split,[status(esa)],[zip_derived_cl1677]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp16
    | ( c0_1 @ a487 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('144',plain,
    ( ( c0_1 @ a487 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a487 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('145',plain,
    ( ~ ( c1_1 @ a487 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp16
    | ~ ( c2_1 @ a487 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ~ ( c2_1 @ a487 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl364_061,plain,
    ( ! [X45: $i] :
        ( ( c1_1 @ X45 )
        | ( c2_1 @ X45 )
        | ~ ( c0_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c1_1 @ X45 )
        | ( c2_1 @ X45 )
        | ~ ( c0_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl639,plain,
    ( ~ ( c1_1 @ a487 )
   <= ~ ( c1_1 @ a487 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1637,plain,
    ( ( ~ ( c0_1 @ a487 )
      | ( c2_1 @ a487 ) )
   <= ( ~ ( c1_1 @ a487 )
      & ! [X45: $i] :
          ( ( c1_1 @ X45 )
          | ( c2_1 @ X45 )
          | ~ ( c0_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl364,zip_derived_cl639]) ).

thf('147',plain,
    ( ( c1_1 @ a487 )
    | ( c2_1 @ a487 )
    | ~ ! [X45: $i] :
          ( ( c1_1 @ X45 )
          | ( c2_1 @ X45 )
          | ~ ( c0_1 @ X45 ) )
    | ~ ( c0_1 @ a487 ) ),
    inference(split,[status(esa)],[zip_derived_cl1637]) ).

thf('148',plain,
    ( ( c1_1 @ a483 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp14
    | ( c2_1 @ a483 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('149',plain,
    ( ( c2_1 @ a483 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a483 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ~ ( c0_1 @ a483 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf('151',plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c3_1 @ X68 )
        | ~ ( c2_1 @ X68 ) )
    | hskp7
    | hskp16
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp25
    | ( c1_1 @ a545 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('152',plain,
    ( ( c1_1 @ a545 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp25
    | ( c3_1 @ a545 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( ( c3_1 @ a545 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp25
    | ~ ( c0_1 @ a545 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('154',plain,
    ( ~ hskp25
    | ~ ( c0_1 @ a545 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl57,plain,
    ! [X70: $i,X71: $i] :
      ( ( c0_1 @ X70 )
      | ( c3_1 @ X70 )
      | ~ ( c2_1 @ X70 )
      | ~ ndr1_0
      | ( c0_1 @ X71 )
      | ~ ( c1_1 @ X71 )
      | ~ ( c3_1 @ X71 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('155',plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ~ ( c1_1 @ X61 )
        | ~ ( c3_1 @ X61 ) )
    | hskp14
    | ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c3_1 @ X68 )
        | ~ ( c2_1 @ X68 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl4,plain,
    ( hskp0
    | hskp14
    | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('156',plain,
    ( hskp25
    | hskp14
    | hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl567,plain,
    ( ( c3_1 @ a545 )
   <= ( c3_1 @ a545 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl401_062,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ~ ( c1_1 @ X61 )
        | ~ ( c3_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ~ ( c1_1 @ X61 )
        | ~ ( c3_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl1611,plain,
    ( ( ( c0_1 @ a545 )
      | ~ ( c1_1 @ a545 ) )
   <= ( ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ~ ( c1_1 @ X61 )
          | ~ ( c3_1 @ X61 ) )
      & ( c3_1 @ a545 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl401]) ).

thf('157',plain,
    ( ( c0_1 @ a545 )
    | ~ ( c3_1 @ a545 )
    | ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ~ ( c1_1 @ X61 )
          | ~ ( c3_1 @ X61 ) )
    | ~ ( c1_1 @ a545 ) ),
    inference(split,[status(esa)],[zip_derived_cl1611]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp10
    | ( c2_1 @ a478 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('158',plain,
    ( ( c2_1 @ a478 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a478 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('159',plain,
    ( ~ ( c0_1 @ a478 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf('160',plain,
    ( ~ ( c3_1 @ a478 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl415_063,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c3_1 @ X68 )
        | ~ ( c2_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c3_1 @ X68 )
        | ~ ( c2_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl689_064,plain,
    ( ~ ( c3_1 @ a478 )
   <= ~ ( c3_1 @ a478 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl1916,plain,
    ( ( ~ ( c2_1 @ a478 )
      | ( c0_1 @ a478 ) )
   <= ( ~ ( c3_1 @ a478 )
      & ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c3_1 @ X68 )
          | ~ ( c2_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl689]) ).

thf('161',plain,
    ( ( c0_1 @ a478 )
    | ( c3_1 @ a478 )
    | ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c3_1 @ X68 )
          | ~ ( c2_1 @ X68 ) )
    | ~ ( c2_1 @ a478 ) ),
    inference(split,[status(esa)],[zip_derived_cl1916]) ).

thf(zip_derived_cl164,plain,
    ( ~ hskp10
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( ~ hskp10
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl164]) ).

thf(zip_derived_cl54,plain,
    ! [X66: $i,X67: $i] :
      ( ( c0_1 @ X66 )
      | ~ ( c1_1 @ X66 )
      | ~ ( c2_1 @ X66 )
      | ~ ndr1_0
      | ( c1_1 @ X67 )
      | ( c2_1 @ X67 )
      | ~ ( c0_1 @ X67 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('163',plain,
    ( ! [X45: $i] :
        ( ( c1_1 @ X45 )
        | ( c2_1 @ X45 )
        | ~ ( c0_1 @ X45 ) )
    | ~ ndr1_0
    | ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c2_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl5,plain,
    ( hskp0
    | hskp30
    | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( hskp30
    | hskp0
    | hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl7995,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN505+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LupFNBhaPy true
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sat Aug 26 17:45:08 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.32/1.72  % Solved by fo/fo1_av.sh.
% 7.32/1.72  % done 2101 iterations in 0.876s
% 7.32/1.72  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.32/1.72  % SZS output start Refutation
% See solution above
% 7.32/1.73  
% 7.32/1.73  
% 7.32/1.73  % Terminating...
% 7.97/1.80  % Runner terminated.
% 7.97/1.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------