TSTP Solution File: SYN503+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN503+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.auCuFgN6Gr true

% Computer : n025.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 04:04:14 EDT 2023

% Result   : Theorem 5.73s 1.45s
% Output   : Refutation 5.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   66
% Syntax   : Number of formulae    :  648 (   1 unt;  65 typ;   0 def)
%            Number of atoms       : 4198 (   0 equ;   0 cnn)
%            Maximal formula atoms :  771 (   7 avg)
%            Number of connectives : 8971 (2143   ~;2606   |; 494   &;3213   @)
%                                         (   0 <=>; 256  =>; 259  <=;   0 <~>)
%            Maximal formula depth :  113 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   66 (  65 usr;  62 con; 0-1 aty)
%            Number of variables   :  749 (   0   ^; 749   !;   0   ?; 749   :)

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

thf(a216_type,type,
    a216: $i ).

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

thf(a236_type,type,
    a236: $i ).

thf(a274_type,type,
    a274: $i ).

thf(a282_type,type,
    a282: $i ).

thf(a245_type,type,
    a245: $i ).

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

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

thf(a213_type,type,
    a213: $i ).

thf(a220_type,type,
    a220: $i ).

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

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

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

thf(a214_type,type,
    a214: $i ).

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

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

thf(a217_type,type,
    a217: $i ).

thf(a255_type,type,
    a255: $i ).

thf(a271_type,type,
    a271: $i ).

thf(a296_type,type,
    a296: $i ).

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

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

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

thf(a231_type,type,
    a231: $i ).

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

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

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

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

thf(a226_type,type,
    a226: $i ).

thf(a237_type,type,
    a237: $i ).

thf(a252_type,type,
    a252: $i ).

thf(a259_type,type,
    a259: $i ).

thf(a234_type,type,
    a234: $i ).

thf(a248_type,type,
    a248: $i ).

thf(a242_type,type,
    a242: $i ).

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

thf(a257_type,type,
    a257: $i ).

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

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

thf(a223_type,type,
    a223: $i ).

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

thf(a320_type,type,
    a320: $i ).

thf(a225_type,type,
    a225: $i ).

thf(a239_type,type,
    a239: $i ).

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

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

thf(a241_type,type,
    a241: $i ).

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

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

thf(a218_type,type,
    a218: $i ).

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

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

thf(a280_type,type,
    a280: $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(a215_type,type,
    a215: $i ).

thf(a261_type,type,
    a261: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c2_1 @ a213 )
          & ~ ( c1_1 @ a213 )
          & ~ ( c3_1 @ a213 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c2_1 @ a214 )
          & ~ ( c0_1 @ a214 )
          & ~ ( c3_1 @ a214 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c2_1 @ a215 )
          & ~ ( c0_1 @ a215 )
          & ~ ( c1_1 @ a215 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c0_1 @ a216 )
          & ( c1_1 @ a216 )
          & ~ ( c2_1 @ a216 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ ( c1_1 @ a217 )
          & ~ ( c2_1 @ a217 )
          & ~ ( c3_1 @ a217 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c3_1 @ a218 )
          & ~ ( c1_1 @ a218 )
          & ~ ( c2_1 @ a218 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c1_1 @ a220 )
          & ( c2_1 @ a220 )
          & ~ ( c3_1 @ a220 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c1_1 @ a223 )
          & ( c2_1 @ a223 )
          & ~ ( c0_1 @ a223 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c3_1 @ a225 )
          & ~ ( c0_1 @ a225 )
          & ~ ( c2_1 @ a225 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c0_1 @ a226 )
          & ~ ( c1_1 @ a226 )
          & ~ ( c2_1 @ a226 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c1_1 @ a231 )
          & ( c3_1 @ a231 )
          & ~ ( c0_1 @ a231 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c0_1 @ a236 )
          & ~ ( c2_1 @ a236 )
          & ~ ( c3_1 @ a236 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c0_1 @ a237 )
          & ( c2_1 @ a237 )
          & ~ ( c3_1 @ a237 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c2_1 @ a239 )
          & ( c3_1 @ a239 )
          & ~ ( c1_1 @ a239 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c3_1 @ a241 )
          & ~ ( c0_1 @ a241 )
          & ~ ( c1_1 @ a241 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c1_1 @ a242 )
          & ~ ( c0_1 @ a242 )
          & ~ ( c2_1 @ a242 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c0_1 @ a245 )
          & ~ ( c1_1 @ a245 )
          & ~ ( c3_1 @ a245 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c1_1 @ a248 )
          & ( c3_1 @ a248 )
          & ~ ( c2_1 @ a248 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c0_1 @ a252 )
          & ( c2_1 @ a252 )
          & ~ ( c1_1 @ a252 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ ( c0_1 @ a255 )
          & ~ ( c1_1 @ a255 )
          & ~ ( c3_1 @ a255 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c0_1 @ a257 )
          & ( c1_1 @ a257 )
          & ~ ( c3_1 @ a257 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c0_1 @ a259 )
          & ( c3_1 @ a259 )
          & ~ ( c2_1 @ a259 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ ( c0_1 @ a271 )
          & ~ ( c1_1 @ a271 )
          & ~ ( c2_1 @ a271 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c1_1 @ a274 )
          & ~ ( c0_1 @ a274 )
          & ~ ( c3_1 @ a274 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c1_1 @ a280 )
          & ~ ( c2_1 @ a280 )
          & ~ ( c3_1 @ a280 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c2_1 @ a320 )
          & ( c3_1 @ a320 )
          & ~ ( c0_1 @ a320 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a234 )
          & ( c1_1 @ a234 )
          & ( c3_1 @ a234 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c1_1 @ a261 )
          & ( c2_1 @ a261 )
          & ( c3_1 @ a261 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a282 )
          & ( c1_1 @ a282 )
          & ( c2_1 @ a282 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a296 )
          & ( c2_1 @ a296 )
          & ( c3_1 @ a296 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | hskp0 )
      & ( ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c1_1 @ V )
              | ( c3_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c2_1 @ W )
              | ( c3_1 @ W )
              | ~ ( c0_1 @ W ) ) )
        | hskp1 )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c3_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ Y )
              | ~ ( c2_1 @ Y )
              | ~ ( c3_1 @ Y ) ) )
        | hskp2 )
      & ( ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c1_1 @ Z )
              | ( c3_1 @ Z ) ) )
        | hskp3
        | hskp4 )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ~ ( c2_1 @ X1 ) ) )
        | ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c2_1 @ X2 )
              | ~ ( c3_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X3 )
              | ~ ( c2_1 @ X3 )
              | ~ ( c3_1 @ X3 ) ) ) )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c1_1 @ X4 )
              | ~ ( c2_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X5 )
              | ( c2_1 @ X5 )
              | ~ ( c3_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X6 )
              | ~ ( c0_1 @ X6 )
              | ~ ( c1_1 @ X6 ) ) ) )
      & ( ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c1_1 @ X7 )
              | ~ ( c2_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X8 )
              | ~ ( c0_1 @ X8 )
              | ~ ( c3_1 @ X8 ) ) )
        | ! [X9: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X9 )
              | ~ ( c2_1 @ X9 )
              | ~ ( c3_1 @ X9 ) ) ) )
      & ( ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ~ ( c2_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X11 )
              | ~ ( c1_1 @ X11 )
              | ~ ( c3_1 @ X11 ) ) )
        | hskp5 )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ~ ( c2_1 @ X12 ) ) )
        | ! [X13: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X13 )
              | ~ ( c2_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X14 )
              | ~ ( c2_1 @ X14 )
              | ~ ( c3_1 @ X14 ) ) ) )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c2_1 @ X15 ) ) )
        | hskp3
        | hskp6 )
      & ( ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ( c1_1 @ X16 )
              | ~ ( c2_1 @ X16 ) ) )
        | hskp2
        | hskp0 )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c1_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ( c2_1 @ X18 )
              | ( c3_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X19 )
              | ( c3_1 @ X19 )
              | ~ ( c0_1 @ X19 ) ) ) )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c1_1 @ X20 )
              | ~ ( c3_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X21 )
              | ~ ( c2_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) )
        | hskp7 )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c1_1 @ X22 )
              | ~ ( c3_1 @ X22 ) ) )
        | hskp1
        | hskp8 )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c2_1 @ X23 )
              | ( c3_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ~ ( c2_1 @ X24 )
              | ~ ( c3_1 @ X24 ) ) )
        | hskp9 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c2_1 @ X25 )
              | ( c3_1 @ X25 ) ) )
        | hskp6
        | hskp5 )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c2_1 @ X26 )
              | ( c3_1 @ X26 ) ) )
        | hskp0
        | hskp4 )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c2_1 @ X27 )
              | ~ ( c1_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ~ ( c1_1 @ X28 )
              | ~ ( c2_1 @ X28 ) ) )
        | hskp10 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ~ ( c1_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X30 )
              | ( c3_1 @ X30 )
              | ~ ( c0_1 @ X30 ) ) )
        | hskp8 )
      & ( ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ( c2_1 @ X31 )
              | ~ ( c3_1 @ X31 ) ) )
        | ! [X32: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X32 )
              | ( c2_1 @ X32 )
              | ~ ( c0_1 @ X32 ) ) )
        | hskp1 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c2_1 @ X33 )
              | ~ ( c3_1 @ X33 ) ) )
        | ! [X34: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X34 )
              | ~ ( c1_1 @ X34 )
              | ~ ( c2_1 @ X34 ) ) )
        | hskp26 )
      & ( ! [X35: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X35 )
              | ( c2_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) )
        | ! [X36: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X36 )
              | ~ ( c1_1 @ X36 )
              | ~ ( c2_1 @ X36 ) ) )
        | hskp5 )
      & ( ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ( c3_1 @ X37 )
              | ~ ( c1_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X38 )
              | ( c3_1 @ X38 )
              | ~ ( c0_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X39 )
              | ~ ( c2_1 @ X39 )
              | ~ ( c3_1 @ X39 ) ) ) )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ( c3_1 @ X40 )
              | ~ ( c1_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X41 )
              | ~ ( c0_1 @ X41 )
              | ~ ( c2_1 @ X41 ) ) )
        | hskp11 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ( c3_1 @ X42 )
              | ~ ( c1_1 @ X42 ) ) )
        | ! [X43: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X43 )
              | ~ ( c1_1 @ X43 )
              | ~ ( c2_1 @ X43 ) ) )
        | hskp12 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ( c3_1 @ X44 )
              | ~ ( c1_1 @ X44 ) ) )
        | hskp3
        | hskp13 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ( c3_1 @ X45 )
              | ~ ( c2_1 @ X45 ) ) )
        | ! [X46: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X46 )
              | ~ ( c0_1 @ X46 )
              | ~ ( c2_1 @ X46 ) ) )
        | hskp10 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X47 )
              | ( c3_1 @ X47 )
              | ~ ( c2_1 @ X47 ) ) )
        | ! [X48: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X48 )
              | ~ ( c0_1 @ X48 )
              | ~ ( c1_1 @ X48 ) ) )
        | hskp14 )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ~ ( c1_1 @ X49 )
              | ~ ( c2_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X50 )
              | ( c2_1 @ X50 )
              | ~ ( c3_1 @ X50 ) ) )
        | hskp15 )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X51 )
              | ~ ( c1_1 @ X51 )
              | ~ ( c2_1 @ X51 ) ) )
        | ! [X52: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X52 )
              | ( c3_1 @ X52 )
              | ~ ( c0_1 @ X52 ) ) )
        | hskp26 )
      & ( ! [X53: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X53 )
              | ~ ( c1_1 @ X53 )
              | ~ ( c2_1 @ X53 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X54 )
              | ~ ( c0_1 @ X54 )
              | ~ ( c1_1 @ X54 ) ) )
        | hskp8 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X55 )
              | ~ ( c1_1 @ X55 )
              | ~ ( c2_1 @ X55 ) ) )
        | hskp16
        | hskp7 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X56 )
              | ~ ( c1_1 @ X56 )
              | ~ ( c2_1 @ X56 ) ) )
        | hskp10
        | hskp17 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X57 )
              | ~ ( c1_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | ! [X58: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X58 )
              | ( c2_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | hskp10 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X59 )
              | ~ ( c1_1 @ X59 )
              | ~ ( c3_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X60 )
              | ~ ( c2_1 @ X60 )
              | ~ ( c3_1 @ X60 ) ) )
        | hskp9 )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X61 )
              | ~ ( c1_1 @ X61 )
              | ~ ( c3_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X62 )
              | ( c3_1 @ X62 )
              | ~ ( c1_1 @ X62 ) ) )
        | hskp1 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X63 )
              | ~ ( c1_1 @ X63 )
              | ~ ( c3_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X64 )
              | ~ ( c1_1 @ X64 )
              | ~ ( c3_1 @ X64 ) ) )
        | hskp18 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X65 )
              | ~ ( c1_1 @ X65 )
              | ~ ( c3_1 @ X65 ) ) )
        | hskp3
        | hskp6 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X66 )
              | ~ ( c2_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) )
        | ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ( c3_1 @ X67 )
              | ~ ( c2_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X68 )
              | ~ ( c2_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) ) )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X69 )
              | ~ ( c2_1 @ X69 )
              | ~ ( c3_1 @ X69 ) ) )
        | ! [X70: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X70 )
              | ( c3_1 @ X70 )
              | ~ ( c1_1 @ X70 ) ) )
        | hskp19 )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X71 )
              | ( c2_1 @ X71 )
              | ( c3_1 @ X71 ) ) )
        | ! [X72: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X72 )
              | ( c3_1 @ X72 )
              | ~ ( c1_1 @ X72 ) ) )
        | hskp8 )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ( c2_1 @ X73 )
              | ( c3_1 @ X73 ) ) )
        | hskp20
        | hskp4 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X74 )
              | ( c2_1 @ X74 )
              | ( c3_1 @ X74 ) ) )
        | hskp21
        | hskp19 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ( c2_1 @ X75 )
              | ( c3_1 @ X75 ) ) )
        | hskp27
        | hskp2 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X76 )
              | ( c2_1 @ X76 )
              | ~ ( c0_1 @ X76 ) ) )
        | ! [X77: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X77 )
              | ( c3_1 @ X77 )
              | ~ ( c2_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X78 )
              | ~ ( c1_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) ) )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X79 )
              | ( c2_1 @ X79 )
              | ~ ( c0_1 @ X79 ) ) )
        | hskp18
        | hskp19 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X80 )
              | ( c2_1 @ X80 )
              | ~ ( c0_1 @ X80 ) ) )
        | hskp12
        | hskp17 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X81 )
              | ( c2_1 @ X81 )
              | ~ ( c3_1 @ X81 ) ) )
        | ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ( c3_1 @ X82 )
              | ~ ( c0_1 @ X82 ) ) )
        | hskp5 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X83 )
              | ( c3_1 @ X83 )
              | ~ ( c0_1 @ X83 ) ) )
        | ! [X84: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X84 )
              | ( c3_1 @ X84 )
              | ~ ( c2_1 @ X84 ) ) )
        | ! [X85: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X85 )
              | ~ ( c0_1 @ X85 )
              | ~ ( c3_1 @ X85 ) ) ) )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X86 )
              | ( c3_1 @ X86 )
              | ~ ( c0_1 @ X86 ) ) )
        | ! [X87: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X87 )
              | ~ ( c1_1 @ X87 )
              | ~ ( c2_1 @ X87 ) ) )
        | ! [X88: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X88 )
              | ~ ( c2_1 @ X88 )
              | ~ ( c3_1 @ X88 ) ) ) )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X89 )
              | ( c3_1 @ X89 )
              | ~ ( c2_1 @ X89 ) ) )
        | ! [X90: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X90 )
              | ~ ( c2_1 @ X90 )
              | ~ ( c3_1 @ X90 ) ) )
        | hskp1 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X91 )
              | ( c3_1 @ X91 )
              | ~ ( c2_1 @ X91 ) ) )
        | hskp12
        | hskp21 )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X92 )
              | ~ ( c0_1 @ X92 )
              | ~ ( c2_1 @ X92 ) ) )
        | ! [X93: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X93 )
              | ~ ( c0_1 @ X93 )
              | ~ ( c1_1 @ X93 ) ) )
        | hskp22 )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X94 )
              | ~ ( c0_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) )
        | ! [X95: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X95 )
              | ~ ( c0_1 @ X95 )
              | ~ ( c2_1 @ X95 ) ) )
        | hskp18 )
      & ( ! [X96: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X96 )
              | ~ ( c0_1 @ X96 )
              | ~ ( c3_1 @ X96 ) ) )
        | hskp26
        | hskp23 )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X97 )
              | ~ ( c0_1 @ X97 )
              | ~ ( c3_1 @ X97 ) ) )
        | hskp16
        | hskp4 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X98 )
              | ~ ( c0_1 @ X98 )
              | ~ ( c3_1 @ X98 ) ) )
        | hskp1
        | hskp19 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X99 )
              | ~ ( c2_1 @ X99 )
              | ~ ( c3_1 @ X99 ) ) )
        | hskp15
        | hskp24 )
      & ( ! [X100: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X100 )
              | ( c3_1 @ X100 )
              | ~ ( c0_1 @ X100 ) ) )
        | ! [X101: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X101 )
              | ~ ( c0_1 @ X101 )
              | ~ ( c1_1 @ X101 ) ) )
        | hskp5 )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X102 )
              | ( c3_1 @ X102 )
              | ~ ( c1_1 @ X102 ) ) )
        | ! [X103: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X103 )
              | ~ ( c0_1 @ X103 )
              | ~ ( c1_1 @ X103 ) ) )
        | ! [X104: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X104 )
              | ~ ( c2_1 @ X104 )
              | ~ ( c3_1 @ X104 ) ) ) )
      & ( ! [X105: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X105 )
              | ( c3_1 @ X105 )
              | ~ ( c1_1 @ X105 ) ) )
        | ! [X106: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X106 )
              | ~ ( c1_1 @ X106 )
              | ~ ( c3_1 @ X106 ) ) )
        | hskp28 )
      & ( ! [X107: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X107 )
              | ( c3_1 @ X107 )
              | ~ ( c1_1 @ X107 ) ) )
        | hskp26
        | hskp9 )
      & ( ! [X108: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X108 )
              | ~ ( c0_1 @ X108 )
              | ~ ( c1_1 @ X108 ) ) )
        | ! [X109: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X109 )
              | ~ ( c0_1 @ X109 )
              | ~ ( c1_1 @ X109 ) ) )
        | ! [X110: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X110 )
              | ~ ( c2_1 @ X110 )
              | ~ ( c3_1 @ X110 ) ) ) )
      & ( ! [X111: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X111 )
              | ~ ( c0_1 @ X111 )
              | ~ ( c3_1 @ X111 ) ) )
        | hskp3
        | hskp27 )
      & ( ! [X112: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X112 )
              | ~ ( c0_1 @ X112 )
              | ~ ( c1_1 @ X112 ) ) )
        | ! [X113: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X113 )
              | ~ ( c2_1 @ X113 )
              | ~ ( c3_1 @ X113 ) ) )
        | hskp28 )
      & ( ! [X114: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X114 )
              | ~ ( c0_1 @ X114 )
              | ~ ( c2_1 @ X114 ) ) )
        | hskp7
        | hskp6 )
      & ( ! [X115: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X115 )
              | ~ ( c1_1 @ X115 )
              | ~ ( c2_1 @ X115 ) ) )
        | ! [X116: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X116 )
              | ~ ( c2_1 @ X116 )
              | ~ ( c3_1 @ X116 ) ) )
        | ! [X117: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X117 )
              | ~ ( c2_1 @ X117 )
              | ~ ( c3_1 @ X117 ) ) ) )
      & ( ! [X118: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X118 )
              | ~ ( c1_1 @ X118 )
              | ~ ( c2_1 @ X118 ) ) )
        | ! [X119: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X119 )
              | ~ ( c2_1 @ X119 )
              | ~ ( c3_1 @ X119 ) ) )
        | hskp22 )
      & ( ! [X120: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X120 )
              | ~ ( c1_1 @ X120 )
              | ~ ( c3_1 @ X120 ) ) )
        | hskp27
        | hskp2 )
      & ( ! [X121: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X121 )
              | ~ ( c2_1 @ X121 )
              | ~ ( c3_1 @ X121 ) ) )
        | hskp10
        | hskp8 )
      & ( ! [X122: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X122 )
              | ~ ( c2_1 @ X122 )
              | ~ ( c3_1 @ X122 ) ) )
        | hskp26
        | hskp29 )
      & ( hskp3
        | hskp16 )
      & ( hskp20
        | hskp11
        | hskp1 )
      & ( hskp20
        | hskp10
        | hskp2 )
      & ( hskp20
        | hskp23
        | hskp4 )
      & ( hskp18
        | hskp9
        | hskp22 )
      & ( hskp18
        | hskp27
        | hskp17 )
      & ( hskp12
        | hskp16
        | hskp13 )
      & ( hskp12
        | hskp1
        | hskp0 )
      & ( hskp25
        | hskp19 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c2_1 @ a213 )
        & ~ ( c1_1 @ a213 )
        & ~ ( c3_1 @ a213 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c2_1 @ a214 )
        & ~ ( c0_1 @ a214 )
        & ~ ( c3_1 @ a214 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c2_1 @ a215 )
        & ~ ( c0_1 @ a215 )
        & ~ ( c1_1 @ a215 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c0_1 @ a216 )
        & ( c1_1 @ a216 )
        & ~ ( c2_1 @ a216 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ ( c1_1 @ a217 )
        & ~ ( c2_1 @ a217 )
        & ~ ( c3_1 @ a217 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c3_1 @ a218 )
        & ~ ( c1_1 @ a218 )
        & ~ ( c2_1 @ a218 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c1_1 @ a220 )
        & ( c2_1 @ a220 )
        & ~ ( c3_1 @ a220 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c1_1 @ a223 )
        & ( c2_1 @ a223 )
        & ~ ( c0_1 @ a223 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c3_1 @ a225 )
        & ~ ( c0_1 @ a225 )
        & ~ ( c2_1 @ a225 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c0_1 @ a226 )
        & ~ ( c1_1 @ a226 )
        & ~ ( c2_1 @ a226 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c1_1 @ a231 )
        & ( c3_1 @ a231 )
        & ~ ( c0_1 @ a231 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c0_1 @ a236 )
        & ~ ( c2_1 @ a236 )
        & ~ ( c3_1 @ a236 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c0_1 @ a237 )
        & ( c2_1 @ a237 )
        & ~ ( c3_1 @ a237 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c2_1 @ a239 )
        & ( c3_1 @ a239 )
        & ~ ( c1_1 @ a239 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c3_1 @ a241 )
        & ~ ( c0_1 @ a241 )
        & ~ ( c1_1 @ a241 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c1_1 @ a242 )
        & ~ ( c0_1 @ a242 )
        & ~ ( c2_1 @ a242 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c0_1 @ a245 )
        & ~ ( c1_1 @ a245 )
        & ~ ( c3_1 @ a245 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c1_1 @ a248 )
        & ( c3_1 @ a248 )
        & ~ ( c2_1 @ a248 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c0_1 @ a252 )
        & ( c2_1 @ a252 )
        & ~ ( c1_1 @ a252 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ ( c0_1 @ a255 )
        & ~ ( c1_1 @ a255 )
        & ~ ( c3_1 @ a255 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c0_1 @ a257 )
        & ( c1_1 @ a257 )
        & ~ ( c3_1 @ a257 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c0_1 @ a259 )
        & ( c3_1 @ a259 )
        & ~ ( c2_1 @ a259 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ ( c0_1 @ a271 )
        & ~ ( c1_1 @ a271 )
        & ~ ( c2_1 @ a271 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c1_1 @ a274 )
        & ~ ( c0_1 @ a274 )
        & ~ ( c3_1 @ a274 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c1_1 @ a280 )
        & ~ ( c2_1 @ a280 )
        & ~ ( c3_1 @ a280 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c2_1 @ a320 )
        & ( c3_1 @ a320 )
        & ~ ( c0_1 @ a320 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a234 )
        & ( c1_1 @ a234 )
        & ( c3_1 @ a234 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c1_1 @ a261 )
        & ( c2_1 @ a261 )
        & ( c3_1 @ a261 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a282 )
        & ( c1_1 @ a282 )
        & ( c2_1 @ a282 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a296 )
        & ( c2_1 @ a296 )
        & ( c3_1 @ a296 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | hskp0 )
    & ( ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c1_1 @ V )
            | ( c3_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c2_1 @ W )
            | ( c3_1 @ W )
            | ~ ( c0_1 @ W ) ) )
      | hskp1 )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c3_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ Y )
            | ~ ( c2_1 @ Y )
            | ~ ( c3_1 @ Y ) ) )
      | hskp2 )
    & ( ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c1_1 @ Z )
            | ( c3_1 @ Z ) ) )
      | hskp3
      | hskp4 )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ~ ( c2_1 @ X1 ) ) )
      | ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c2_1 @ X2 )
            | ~ ( c3_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X3 )
            | ~ ( c2_1 @ X3 )
            | ~ ( c3_1 @ X3 ) ) ) )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c1_1 @ X4 )
            | ~ ( c2_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X5 )
            | ( c2_1 @ X5 )
            | ~ ( c3_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X6 )
            | ~ ( c0_1 @ X6 )
            | ~ ( c1_1 @ X6 ) ) ) )
    & ( ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c1_1 @ X7 )
            | ~ ( c2_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X8 )
            | ~ ( c0_1 @ X8 )
            | ~ ( c3_1 @ X8 ) ) )
      | ! [X9: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X9 )
            | ~ ( c2_1 @ X9 )
            | ~ ( c3_1 @ X9 ) ) ) )
    & ( ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ~ ( c2_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X11 )
            | ~ ( c1_1 @ X11 )
            | ~ ( c3_1 @ X11 ) ) )
      | hskp5 )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ~ ( c2_1 @ X12 ) ) )
      | ! [X13: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X13 )
            | ~ ( c2_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X14 )
            | ~ ( c2_1 @ X14 )
            | ~ ( c3_1 @ X14 ) ) ) )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c2_1 @ X15 ) ) )
      | hskp3
      | hskp6 )
    & ( ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ( c1_1 @ X16 )
            | ~ ( c2_1 @ X16 ) ) )
      | hskp2
      | hskp0 )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c1_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ( c2_1 @ X18 )
            | ( c3_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X19 )
            | ( c3_1 @ X19 )
            | ~ ( c0_1 @ X19 ) ) ) )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c1_1 @ X20 )
            | ~ ( c3_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X21 )
            | ~ ( c2_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) )
      | hskp7 )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c1_1 @ X22 )
            | ~ ( c3_1 @ X22 ) ) )
      | hskp1
      | hskp8 )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c2_1 @ X23 )
            | ( c3_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ~ ( c2_1 @ X24 )
            | ~ ( c3_1 @ X24 ) ) )
      | hskp9 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c2_1 @ X25 )
            | ( c3_1 @ X25 ) ) )
      | hskp6
      | hskp5 )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c2_1 @ X26 )
            | ( c3_1 @ X26 ) ) )
      | hskp0
      | hskp4 )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c2_1 @ X27 )
            | ~ ( c1_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ~ ( c1_1 @ X28 )
            | ~ ( c2_1 @ X28 ) ) )
      | hskp10 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ~ ( c1_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X30 )
            | ( c3_1 @ X30 )
            | ~ ( c0_1 @ X30 ) ) )
      | hskp8 )
    & ( ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ( c2_1 @ X31 )
            | ~ ( c3_1 @ X31 ) ) )
      | ! [X32: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X32 )
            | ( c2_1 @ X32 )
            | ~ ( c0_1 @ X32 ) ) )
      | hskp1 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c2_1 @ X33 )
            | ~ ( c3_1 @ X33 ) ) )
      | ! [X34: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X34 )
            | ~ ( c1_1 @ X34 )
            | ~ ( c2_1 @ X34 ) ) )
      | hskp26 )
    & ( ! [X35: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X35 )
            | ( c2_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) )
      | ! [X36: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X36 )
            | ~ ( c1_1 @ X36 )
            | ~ ( c2_1 @ X36 ) ) )
      | hskp5 )
    & ( ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ( c3_1 @ X37 )
            | ~ ( c1_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X38 )
            | ( c3_1 @ X38 )
            | ~ ( c0_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X39 )
            | ~ ( c2_1 @ X39 )
            | ~ ( c3_1 @ X39 ) ) ) )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ( c3_1 @ X40 )
            | ~ ( c1_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X41 )
            | ~ ( c0_1 @ X41 )
            | ~ ( c2_1 @ X41 ) ) )
      | hskp11 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ( c3_1 @ X42 )
            | ~ ( c1_1 @ X42 ) ) )
      | ! [X43: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X43 )
            | ~ ( c1_1 @ X43 )
            | ~ ( c2_1 @ X43 ) ) )
      | hskp12 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ( c3_1 @ X44 )
            | ~ ( c1_1 @ X44 ) ) )
      | hskp3
      | hskp13 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ( c3_1 @ X45 )
            | ~ ( c2_1 @ X45 ) ) )
      | ! [X46: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X46 )
            | ~ ( c0_1 @ X46 )
            | ~ ( c2_1 @ X46 ) ) )
      | hskp10 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X47 )
            | ( c3_1 @ X47 )
            | ~ ( c2_1 @ X47 ) ) )
      | ! [X48: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X48 )
            | ~ ( c0_1 @ X48 )
            | ~ ( c1_1 @ X48 ) ) )
      | hskp14 )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ~ ( c1_1 @ X49 )
            | ~ ( c2_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X50 )
            | ( c2_1 @ X50 )
            | ~ ( c3_1 @ X50 ) ) )
      | hskp15 )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X51 )
            | ~ ( c1_1 @ X51 )
            | ~ ( c2_1 @ X51 ) ) )
      | ! [X52: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X52 )
            | ( c3_1 @ X52 )
            | ~ ( c0_1 @ X52 ) ) )
      | hskp26 )
    & ( ! [X53: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X53 )
            | ~ ( c1_1 @ X53 )
            | ~ ( c2_1 @ X53 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X54 )
            | ~ ( c0_1 @ X54 )
            | ~ ( c1_1 @ X54 ) ) )
      | hskp8 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X55 )
            | ~ ( c1_1 @ X55 )
            | ~ ( c2_1 @ X55 ) ) )
      | hskp16
      | hskp7 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X56 )
            | ~ ( c1_1 @ X56 )
            | ~ ( c2_1 @ X56 ) ) )
      | hskp10
      | hskp17 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X57 )
            | ~ ( c1_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | ! [X58: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X58 )
            | ( c2_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | hskp10 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X59 )
            | ~ ( c1_1 @ X59 )
            | ~ ( c3_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X60 )
            | ~ ( c2_1 @ X60 )
            | ~ ( c3_1 @ X60 ) ) )
      | hskp9 )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X61 )
            | ~ ( c1_1 @ X61 )
            | ~ ( c3_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X62 )
            | ( c3_1 @ X62 )
            | ~ ( c1_1 @ X62 ) ) )
      | hskp1 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X63 )
            | ~ ( c1_1 @ X63 )
            | ~ ( c3_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X64 )
            | ~ ( c1_1 @ X64 )
            | ~ ( c3_1 @ X64 ) ) )
      | hskp18 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X65 )
            | ~ ( c1_1 @ X65 )
            | ~ ( c3_1 @ X65 ) ) )
      | hskp3
      | hskp6 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X66 )
            | ~ ( c2_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) )
      | ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ( c3_1 @ X67 )
            | ~ ( c2_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X68 )
            | ~ ( c2_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) ) )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X69 )
            | ~ ( c2_1 @ X69 )
            | ~ ( c3_1 @ X69 ) ) )
      | ! [X70: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X70 )
            | ( c3_1 @ X70 )
            | ~ ( c1_1 @ X70 ) ) )
      | hskp19 )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X71 )
            | ( c2_1 @ X71 )
            | ( c3_1 @ X71 ) ) )
      | ! [X72: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X72 )
            | ( c3_1 @ X72 )
            | ~ ( c1_1 @ X72 ) ) )
      | hskp8 )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ( c2_1 @ X73 )
            | ( c3_1 @ X73 ) ) )
      | hskp20
      | hskp4 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X74 )
            | ( c2_1 @ X74 )
            | ( c3_1 @ X74 ) ) )
      | hskp21
      | hskp19 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ( c2_1 @ X75 )
            | ( c3_1 @ X75 ) ) )
      | hskp27
      | hskp2 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X76 )
            | ( c2_1 @ X76 )
            | ~ ( c0_1 @ X76 ) ) )
      | ! [X77: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X77 )
            | ( c3_1 @ X77 )
            | ~ ( c2_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X78 )
            | ~ ( c1_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) ) )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X79 )
            | ( c2_1 @ X79 )
            | ~ ( c0_1 @ X79 ) ) )
      | hskp18
      | hskp19 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X80 )
            | ( c2_1 @ X80 )
            | ~ ( c0_1 @ X80 ) ) )
      | hskp12
      | hskp17 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X81 )
            | ( c2_1 @ X81 )
            | ~ ( c3_1 @ X81 ) ) )
      | ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ( c3_1 @ X82 )
            | ~ ( c0_1 @ X82 ) ) )
      | hskp5 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X83 )
            | ( c3_1 @ X83 )
            | ~ ( c0_1 @ X83 ) ) )
      | ! [X84: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X84 )
            | ( c3_1 @ X84 )
            | ~ ( c2_1 @ X84 ) ) )
      | ! [X85: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X85 )
            | ~ ( c0_1 @ X85 )
            | ~ ( c3_1 @ X85 ) ) ) )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X86 )
            | ( c3_1 @ X86 )
            | ~ ( c0_1 @ X86 ) ) )
      | ! [X87: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X87 )
            | ~ ( c1_1 @ X87 )
            | ~ ( c2_1 @ X87 ) ) )
      | ! [X88: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X88 )
            | ~ ( c2_1 @ X88 )
            | ~ ( c3_1 @ X88 ) ) ) )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X89 )
            | ( c3_1 @ X89 )
            | ~ ( c2_1 @ X89 ) ) )
      | ! [X90: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X90 )
            | ~ ( c2_1 @ X90 )
            | ~ ( c3_1 @ X90 ) ) )
      | hskp1 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X91 )
            | ( c3_1 @ X91 )
            | ~ ( c2_1 @ X91 ) ) )
      | hskp12
      | hskp21 )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X92 )
            | ~ ( c0_1 @ X92 )
            | ~ ( c2_1 @ X92 ) ) )
      | ! [X93: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X93 )
            | ~ ( c0_1 @ X93 )
            | ~ ( c1_1 @ X93 ) ) )
      | hskp22 )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X94 )
            | ~ ( c0_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) )
      | ! [X95: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X95 )
            | ~ ( c0_1 @ X95 )
            | ~ ( c2_1 @ X95 ) ) )
      | hskp18 )
    & ( ! [X96: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X96 )
            | ~ ( c0_1 @ X96 )
            | ~ ( c3_1 @ X96 ) ) )
      | hskp26
      | hskp23 )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X97 )
            | ~ ( c0_1 @ X97 )
            | ~ ( c3_1 @ X97 ) ) )
      | hskp16
      | hskp4 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X98 )
            | ~ ( c0_1 @ X98 )
            | ~ ( c3_1 @ X98 ) ) )
      | hskp1
      | hskp19 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X99 )
            | ~ ( c2_1 @ X99 )
            | ~ ( c3_1 @ X99 ) ) )
      | hskp15
      | hskp24 )
    & ( ! [X100: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X100 )
            | ( c3_1 @ X100 )
            | ~ ( c0_1 @ X100 ) ) )
      | ! [X101: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X101 )
            | ~ ( c0_1 @ X101 )
            | ~ ( c1_1 @ X101 ) ) )
      | hskp5 )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X102 )
            | ( c3_1 @ X102 )
            | ~ ( c1_1 @ X102 ) ) )
      | ! [X103: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X103 )
            | ~ ( c0_1 @ X103 )
            | ~ ( c1_1 @ X103 ) ) )
      | ! [X104: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X104 )
            | ~ ( c2_1 @ X104 )
            | ~ ( c3_1 @ X104 ) ) ) )
    & ( ! [X105: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X105 )
            | ( c3_1 @ X105 )
            | ~ ( c1_1 @ X105 ) ) )
      | ! [X106: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X106 )
            | ~ ( c1_1 @ X106 )
            | ~ ( c3_1 @ X106 ) ) )
      | hskp28 )
    & ( ! [X107: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X107 )
            | ( c3_1 @ X107 )
            | ~ ( c1_1 @ X107 ) ) )
      | hskp26
      | hskp9 )
    & ( ! [X108: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X108 )
            | ~ ( c0_1 @ X108 )
            | ~ ( c1_1 @ X108 ) ) )
      | ! [X109: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X109 )
            | ~ ( c0_1 @ X109 )
            | ~ ( c1_1 @ X109 ) ) )
      | ! [X110: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X110 )
            | ~ ( c2_1 @ X110 )
            | ~ ( c3_1 @ X110 ) ) ) )
    & ( ! [X111: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X111 )
            | ~ ( c0_1 @ X111 )
            | ~ ( c3_1 @ X111 ) ) )
      | hskp3
      | hskp27 )
    & ( ! [X112: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X112 )
            | ~ ( c0_1 @ X112 )
            | ~ ( c1_1 @ X112 ) ) )
      | ! [X113: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X113 )
            | ~ ( c2_1 @ X113 )
            | ~ ( c3_1 @ X113 ) ) )
      | hskp28 )
    & ( ! [X114: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X114 )
            | ~ ( c0_1 @ X114 )
            | ~ ( c2_1 @ X114 ) ) )
      | hskp7
      | hskp6 )
    & ( ! [X115: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X115 )
            | ~ ( c1_1 @ X115 )
            | ~ ( c2_1 @ X115 ) ) )
      | ! [X116: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X116 )
            | ~ ( c2_1 @ X116 )
            | ~ ( c3_1 @ X116 ) ) )
      | ! [X117: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X117 )
            | ~ ( c2_1 @ X117 )
            | ~ ( c3_1 @ X117 ) ) ) )
    & ( ! [X118: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X118 )
            | ~ ( c1_1 @ X118 )
            | ~ ( c2_1 @ X118 ) ) )
      | ! [X119: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X119 )
            | ~ ( c2_1 @ X119 )
            | ~ ( c3_1 @ X119 ) ) )
      | hskp22 )
    & ( ! [X120: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X120 )
            | ~ ( c1_1 @ X120 )
            | ~ ( c3_1 @ X120 ) ) )
      | hskp27
      | hskp2 )
    & ( ! [X121: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X121 )
            | ~ ( c2_1 @ X121 )
            | ~ ( c3_1 @ X121 ) ) )
      | hskp10
      | hskp8 )
    & ( ! [X122: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X122 )
            | ~ ( c2_1 @ X122 )
            | ~ ( c3_1 @ X122 ) ) )
      | hskp26
      | hskp29 )
    & ( hskp3
      | hskp16 )
    & ( hskp20
      | hskp11
      | hskp1 )
    & ( hskp20
      | hskp10
      | hskp2 )
    & ( hskp20
      | hskp23
      | hskp4 )
    & ( hskp18
      | hskp9
      | hskp22 )
    & ( hskp18
      | hskp27
      | hskp17 )
    & ( hskp12
      | hskp16
      | hskp13 )
    & ( hskp12
      | hskp1
      | hskp0 )
    & ( hskp25
      | hskp19 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp28
    | ( c2_1 @ a282 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl522,plain,
    ( ( c2_1 @ a282 )
   <= ( c2_1 @ a282 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl30,plain,
    ! [X34: $i,X35: $i,X36: $i] :
      ( ( c1_1 @ X34 )
      | ( c3_1 @ X34 )
      | ~ ( c0_1 @ X34 )
      | ~ ndr1_0
      | ( c3_1 @ X35 )
      | ~ ( c1_1 @ X35 )
      | ~ ( c2_1 @ X35 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X36 )
      | ~ ( c2_1 @ X36 )
      | ~ ( c3_1 @ X36 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl310,plain,
    ( ! [X35: $i] :
        ( ( c3_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c2_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c3_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c2_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1094,plain,
    ( ( ( c3_1 @ a282 )
      | ~ ( c1_1 @ a282 ) )
   <= ( ! [X35: $i] :
          ( ( c3_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c2_1 @ X35 ) )
      & ( c2_1 @ a282 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl522,zip_derived_cl310]) ).

thf('0',plain,
    ( ( c3_1 @ a282 )
    | ~ ! [X35: $i] :
          ( ( c3_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c2_1 @ X35 ) )
    | ~ ( c1_1 @ a282 )
    | ~ ( c2_1 @ a282 ) ),
    inference(split,[status(esa)],[zip_derived_cl1094]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp3
    | ( c0_1 @ a216 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl718,plain,
    ( ( c0_1 @ a216 )
   <= ( c0_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0
      | hskp27
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl233,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1167,plain,
    ( ( ~ ( c1_1 @ a216 )
      | ~ ( c3_1 @ a216 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c0_1 @ a216 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl233]) ).

thf('1',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c3_1 @ a216 )
    | ~ ( c0_1 @ a216 )
    | ~ ( c1_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl1167]) ).

thf(zip_derived_cl70,plain,
    ! [X107: $i] :
      ( ( c0_1 @ X107 )
      | ( c1_1 @ X107 )
      | ~ ( c2_1 @ X107 )
      | ~ ndr1_0
      | hskp3
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( hskp3
    | ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) )
    | hskp6
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl71,plain,
    ! [X108: $i,X109: $i,X110: $i] :
      ( ( c0_1 @ X108 )
      | ( c1_1 @ X108 )
      | ~ ( c2_1 @ X108 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X109 )
      | ~ ( c2_1 @ X109 )
      | ~ ( c3_1 @ X109 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X110 )
      | ~ ( c2_1 @ X110 )
      | ~ ( c3_1 @ X110 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl69,plain,
    ! [X106: $i] :
      ( ( c0_1 @ X106 )
      | ( c1_1 @ X106 )
      | ~ ( c2_1 @ X106 )
      | ~ ndr1_0
      | hskp2
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl465,plain,
    ( ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) )
   <= ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp1
    | ~ ( c0_1 @ a214 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl736,plain,
    ( ~ ( c0_1 @ a214 )
   <= ~ ( c0_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl1972,plain,
    ( ( ~ ( c2_1 @ a214 )
      | ( c1_1 @ a214 ) )
   <= ( ~ ( c0_1 @ a214 )
      & ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl736]) ).

thf('4',plain,
    ( ~ ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) )
    | ( c1_1 @ a214 )
    | ( c0_1 @ a214 )
    | ~ ( c2_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl1972]) ).

thf(zip_derived_cl718_001,plain,
    ( ( c0_1 @ a216 )
   <= ( c0_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl16,plain,
    ! [X11: $i] :
      ( ( c2_1 @ X11 )
      | ~ ( c0_1 @ X11 )
      | ~ ( c3_1 @ X11 )
      | ~ ndr1_0
      | hskp3
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl253,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1171,plain,
    ( ( ( c2_1 @ a216 )
      | ~ ( c3_1 @ a216 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c0_1 @ a216 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl253]) ).

thf('5',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c3_1 @ a216 )
    | ( c2_1 @ a216 )
    | ~ ( c0_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl1171]) ).

thf(zip_derived_cl42,plain,
    ! [X57: $i] :
      ( ( c0_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ( c3_1 @ X57 )
      | ~ ndr1_0
      | hskp3
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( hskp3
    | ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) )
    | hskp6
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl357,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp7
    | ~ ( c0_1 @ a223 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl690,plain,
    ( ~ ( c0_1 @ a223 )
   <= ~ ( c0_1 @ a223 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl1411,plain,
    ( ( ~ ( c3_1 @ a223 )
      | ~ ( c1_1 @ a223 ) )
   <= ( ~ ( c0_1 @ a223 )
      & ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl357,zip_derived_cl690]) ).

thf('7',plain,
    ( ~ ( c3_1 @ a223 )
    | ( c0_1 @ a223 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
    | ~ ( c1_1 @ a223 ) ),
    inference(split,[status(esa)],[zip_derived_cl1411]) ).

thf('8',plain,
    ( ( c0_1 @ a216 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp3
    | ~ ( c2_1 @ a216 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( ~ ( c2_1 @ a216 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl522_002,plain,
    ( ( c2_1 @ a282 )
   <= ( c2_1 @ a282 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp26
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl225,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl916,plain,
    ( ( ~ ( c1_1 @ a282 )
      | ~ ( c3_1 @ a282 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c2_1 @ a282 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl522,zip_derived_cl225]) ).

thf('10',plain,
    ( ~ ( c3_1 @ a282 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a282 )
    | ~ ( c2_1 @ a282 ) ),
    inference(split,[status(esa)],[zip_derived_cl916]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp28
    | ( c1_1 @ a282 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( ( c1_1 @ a282 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf('12',plain,
    ( ( c2_1 @ a282 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl54,plain,
    ! [X78: $i] :
      ( ( c0_1 @ X78 )
      | ( c3_1 @ X78 )
      | ~ ( c1_1 @ X78 )
      | ~ ndr1_0
      | hskp3
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl405,plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c3_1 @ X78 )
        | ~ ( c1_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c3_1 @ X78 )
        | ~ ( c1_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl736_003,plain,
    ( ~ ( c0_1 @ a214 )
   <= ~ ( c0_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl1657,plain,
    ( ( ~ ( c1_1 @ a214 )
      | ( c3_1 @ a214 ) )
   <= ( ~ ( c0_1 @ a214 )
      & ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c3_1 @ X78 )
          | ~ ( c1_1 @ X78 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl736]) ).

thf('13',plain,
    ( ~ ( c1_1 @ a214 )
    | ~ ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c3_1 @ X78 )
          | ~ ( c1_1 @ X78 ) )
    | ( c0_1 @ a214 )
    | ( c3_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl1657]) ).

thf(zip_derived_cl55,plain,
    ! [X79: $i,X80: $i] :
      ( ( c0_1 @ X79 )
      | ( c3_1 @ X79 )
      | ~ ( c1_1 @ X79 )
      | ~ ndr1_0
      | ( c3_1 @ X80 )
      | ~ ( c1_1 @ X80 )
      | ~ ( c2_1 @ X80 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('14',plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c3_1 @ X78 )
        | ~ ( c1_1 @ X78 ) )
    | hskp12
    | ! [X35: $i] :
        ( ( c3_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c2_1 @ X35 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl61,plain,
    ! [X92: $i,X93: $i] :
      ( ( c0_1 @ X92 )
      | ( c2_1 @ X92 )
      | ~ ( c1_1 @ X92 )
      | ~ ndr1_0
      | ( c1_1 @ X93 )
      | ( c3_1 @ X93 )
      | ~ ( c0_1 @ X93 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('15',plain,
    ( ! [X92: $i] :
        ( ( c0_1 @ X92 )
        | ( c2_1 @ X92 )
        | ~ ( c1_1 @ X92 ) )
    | ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
    | ~ ndr1_0
    | hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl24,plain,
    ! [X25: $i] :
      ( ( c1_1 @ X25 )
      | ~ ( c0_1 @ X25 )
      | ~ ( c3_1 @ X25 )
      | ~ ndr1_0
      | hskp16
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | hskp4
    | hskp16
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp9
    | ( c0_1 @ a226 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl670,plain,
    ( ( c0_1 @ a226 )
   <= ( c0_1 @ a226 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl233_004,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1113,plain,
    ( ( ~ ( c1_1 @ a226 )
      | ~ ( c3_1 @ a226 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c0_1 @ a226 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl670,zip_derived_cl233]) ).

thf('17',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c1_1 @ a226 )
    | ~ ( c0_1 @ a226 )
    | ~ ( c3_1 @ a226 ) ),
    inference(split,[status(esa)],[zip_derived_cl1113]) ).

thf(zip_derived_cl670_005,plain,
    ( ( c0_1 @ a226 )
   <= ( c0_1 @ a226 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl23,plain,
    ! [X24: $i] :
      ( ( c1_1 @ X24 )
      | ~ ( c0_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | hskp1
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl281,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1120,plain,
    ( ( ( c1_1 @ a226 )
      | ~ ( c3_1 @ a226 ) )
   <= ( ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ( c0_1 @ a226 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl670,zip_derived_cl281]) ).

thf('18',plain,
    ( ~ ( c3_1 @ a226 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ( c1_1 @ a226 )
    | ~ ( c0_1 @ a226 ) ),
    inference(split,[status(esa)],[zip_derived_cl1120]) ).

thf(zip_derived_cl36,plain,
    ! [X47: $i] :
      ( ( c1_1 @ X47 )
      | ( c2_1 @ X47 )
      | ( c3_1 @ X47 )
      | ~ ndr1_0
      | hskp27
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl333,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_cl36]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp9
    | ~ ( c2_1 @ a226 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl674,plain,
    ( ~ ( c2_1 @ a226 )
   <= ~ ( c2_1 @ a226 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1538,plain,
    ( ( ( c3_1 @ a226 )
      | ( c1_1 @ a226 ) )
   <= ( ~ ( c2_1 @ a226 )
      & ! [X47: $i] :
          ( ( c1_1 @ X47 )
          | ( c2_1 @ X47 )
          | ( c3_1 @ X47 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl674]) ).

thf('19',plain,
    ( ( c3_1 @ a226 )
    | ( c1_1 @ a226 )
    | ~ ! [X47: $i] :
          ( ( c1_1 @ X47 )
          | ( c2_1 @ X47 )
          | ( c3_1 @ X47 ) )
    | ( c2_1 @ a226 ) ),
    inference(split,[status(esa)],[zip_derived_cl1538]) ).

thf(zip_derived_cl66,plain,
    ! [X100: $i] :
      ( ( c0_1 @ X100 )
      | ( c1_1 @ X100 )
      | ~ ( c3_1 @ X100 )
      | ~ ndr1_0
      | hskp1
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl453,plain,
    ( ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c3_1 @ X100 ) )
   <= ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c3_1 @ X100 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl281_006,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1927,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c1_1 @ X0 )
        | ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c3_1 @ X100 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl281]) ).

thf(zip_derived_cl1956,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c3_1 @ X100 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1927]) ).

thf(zip_derived_cl357_007,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl233_008,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1398,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl357,zip_derived_cl233]) ).

thf(zip_derived_cl1432,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1398]) ).

thf(zip_derived_cl3036,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
      & ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c3_1 @ X100 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1956,zip_derived_cl1432]) ).

thf(zip_derived_cl3071,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
      & ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c3_1 @ X100 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3036]) ).

thf(zip_derived_cl18,plain,
    ! [X15: $i] :
      ( ( c2_1 @ X15 )
      | ( c3_1 @ X15 )
      | ~ ( c1_1 @ X15 )
      | ~ ndr1_0
      | hskp26
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl261,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp15
    | ~ ( c2_1 @ a242 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl626,plain,
    ( ~ ( c2_1 @ a242 )
   <= ~ ( c2_1 @ a242 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl813,plain,
    ( ( ~ ( c1_1 @ a242 )
      | ( c3_1 @ a242 ) )
   <= ( ~ ( c2_1 @ a242 )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl626]) ).

thf(zip_derived_cl845,plain,
    ( ( c3_1 @ a242 )
   <= ( c3_1 @ a242 ) ),
    inference(split,[status(esa)],[zip_derived_cl813]) ).

thf('20',plain,
    ( ~ ( c3_1 @ a242 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c3_1 @ X100 ) )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3071,zip_derived_cl845]) ).

thf(zip_derived_cl25,plain,
    ! [X26: $i] :
      ( ( c1_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ( c3_1 @ X26 )
      | ~ ndr1_0
      | hskp26
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('21',plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | hskp26
    | hskp23
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp23
    | ~ ( c0_1 @ a274 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('22',plain,
    ( ~ ( c0_1 @ a274 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl52,plain,
    ! [X74: $i,X75: $i] :
      ( ( c0_1 @ X74 )
      | ( c3_1 @ X74 )
      | ~ ( c2_1 @ X74 )
      | ~ ndr1_0
      | ( c3_1 @ X75 )
      | ~ ( c0_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl398,plain,
    ( ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c3_1 @ X74 )
        | ~ ( c2_1 @ X74 ) )
   <= ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c3_1 @ X74 )
        | ~ ( c2_1 @ X74 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl560,plain,
    ( ~ ( c0_1 @ a274 )
   <= ~ ( c0_1 @ a274 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl1625,plain,
    ( ( ~ ( c2_1 @ a274 )
      | ( c3_1 @ a274 ) )
   <= ( ~ ( c0_1 @ a274 )
      & ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c3_1 @ X74 )
          | ~ ( c2_1 @ X74 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl560]) ).

thf('23',plain,
    ( ~ ( c2_1 @ a274 )
    | ~ ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c3_1 @ X74 )
          | ~ ( c2_1 @ X74 ) )
    | ( c0_1 @ a274 )
    | ( c3_1 @ a274 ) ),
    inference(split,[status(esa)],[zip_derived_cl1625]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp23
    | ( c1_1 @ a274 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('24',plain,
    ( ( c1_1 @ a274 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a274 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( ~ ( c3_1 @ a274 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl40,plain,
    ! [X52: $i,X53: $i] :
      ( ( c0_1 @ X52 )
      | ~ ( c2_1 @ X52 )
      | ~ ( c3_1 @ X52 )
      | ~ ndr1_0
      | ( c2_1 @ X53 )
      | ( c3_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl350,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl560_009,plain,
    ( ~ ( c0_1 @ a274 )
   <= ~ ( c0_1 @ a274 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl1349,plain,
    ( ( ~ ( c3_1 @ a274 )
      | ~ ( c2_1 @ a274 ) )
   <= ( ~ ( c0_1 @ a274 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl560]) ).

thf(zip_derived_cl1852,plain,
    ( ~ ( c2_1 @ a274 )
   <= ~ ( c2_1 @ a274 ) ),
    inference(split,[status(esa)],[zip_derived_cl1349]) ).

thf(zip_derived_cl261_010,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1854,plain,
    ( ( ( c3_1 @ a274 )
      | ~ ( c1_1 @ a274 ) )
   <= ( ~ ( c2_1 @ a274 )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1852,zip_derived_cl261]) ).

thf('26',plain,
    ( ( c2_1 @ a274 )
    | ~ ( c1_1 @ a274 )
    | ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 ) )
    | ( c3_1 @ a274 ) ),
    inference(split,[status(esa)],[zip_derived_cl1854]) ).

thf('27',plain,
    ( hskp26
    | ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 ) )
    | hskp9
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl465_011,plain,
    ( ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) )
   <= ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a241 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl632,plain,
    ( ~ ( c0_1 @ a241 )
   <= ~ ( c0_1 @ a241 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1977,plain,
    ( ( ~ ( c2_1 @ a241 )
      | ( c1_1 @ a241 ) )
   <= ( ~ ( c0_1 @ a241 )
      & ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl632]) ).

thf('28',plain,
    ( ( c0_1 @ a241 )
    | ( c1_1 @ a241 )
    | ~ ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) )
    | ~ ( c2_1 @ a241 ) ),
    inference(split,[status(esa)],[zip_derived_cl1977]) ).

thf('29',plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a241 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl58,plain,
    ! [X86: $i,X87: $i] :
      ( ( c0_1 @ X86 )
      | ( c2_1 @ X86 )
      | ~ ( c3_1 @ X86 )
      | ~ ndr1_0
      | ( c3_1 @ X87 )
      | ~ ( c1_1 @ X87 )
      | ~ ( c2_1 @ X87 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl422,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ~ ( c3_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ~ ( c3_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl632_012,plain,
    ( ~ ( c0_1 @ a241 )
   <= ~ ( c0_1 @ a241 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1745,plain,
    ( ( ~ ( c3_1 @ a241 )
      | ( c2_1 @ a241 ) )
   <= ( ~ ( c0_1 @ a241 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ~ ( c3_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl632]) ).

thf('30',plain,
    ( ( c2_1 @ a241 )
    | ~ ( c3_1 @ a241 )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ~ ( c3_1 @ X86 ) )
    | ( c0_1 @ a241 ) ),
    inference(split,[status(esa)],[zip_derived_cl1745]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp4
    | ~ ( c3_1 @ a217 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('31',plain,
    ( ~ ( c3_1 @ a217 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a217 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('32',plain,
    ( ~ ( c1_1 @ a217 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a217 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('33',plain,
    ( ~ ( c2_1 @ a217 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl333_013,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_cl36]) ).

thf(zip_derived_cl712,plain,
    ( ~ ( c2_1 @ a217 )
   <= ~ ( c2_1 @ a217 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl1535,plain,
    ( ( ( c3_1 @ a217 )
      | ( c1_1 @ a217 ) )
   <= ( ~ ( c2_1 @ a217 )
      & ! [X47: $i] :
          ( ( c1_1 @ X47 )
          | ( c2_1 @ X47 )
          | ( c3_1 @ X47 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl712]) ).

thf('34',plain,
    ( ( c1_1 @ a217 )
    | ( c2_1 @ a217 )
    | ~ ! [X47: $i] :
          ( ( c1_1 @ X47 )
          | ( c2_1 @ X47 )
          | ( c3_1 @ X47 ) )
    | ( c3_1 @ a217 ) ),
    inference(split,[status(esa)],[zip_derived_cl1535]) ).

thf('35',plain,
    ( hskp27
    | hskp2
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl670_014,plain,
    ( ( c0_1 @ a226 )
   <= ( c0_1 @ a226 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl21,plain,
    ! [X21: $i,X22: $i] :
      ( ( c2_1 @ X21 )
      | ( c3_1 @ X21 )
      | ~ ( c0_1 @ X21 )
      | ~ ndr1_0
      | ( c2_1 @ X22 )
      | ~ ( c0_1 @ X22 )
      | ~ ( c1_1 @ X22 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl274,plain,
    ( ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1119,plain,
    ( ( ( c2_1 @ a226 )
      | ( c3_1 @ a226 ) )
   <= ( ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) )
      & ( c0_1 @ a226 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl670,zip_derived_cl274]) ).

thf('36',plain,
    ( ~ ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) )
    | ( c3_1 @ a226 )
    | ( c2_1 @ a226 )
    | ~ ( c0_1 @ a226 ) ),
    inference(split,[status(esa)],[zip_derived_cl1119]) ).

thf(zip_derived_cl1432_015,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1398]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp17
    | ( c1_1 @ a248 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl606,plain,
    ( ( c1_1 @ a248 )
   <= ( c1_1 @ a248 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl2207,plain,
    ( ~ ( c3_1 @ a248 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
      & ( c1_1 @ a248 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1432,zip_derived_cl606]) ).

thf(zip_derived_cl261_016,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a248 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl610,plain,
    ( ~ ( c2_1 @ a248 )
   <= ~ ( c2_1 @ a248 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl814,plain,
    ( ( ~ ( c1_1 @ a248 )
      | ( c3_1 @ a248 ) )
   <= ( ~ ( c2_1 @ a248 )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl610]) ).

thf(zip_derived_cl847,plain,
    ( ( c3_1 @ a248 )
   <= ( c3_1 @ a248 ) ),
    inference(split,[status(esa)],[zip_derived_cl814]) ).

thf('37',plain,
    ( ~ ( c3_1 @ a248 )
    | ~ ( c1_1 @ a248 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2207,zip_derived_cl847]) ).

thf(zip_derived_cl50,plain,
    ! [X70: $i,X71: $i] :
      ( ( c0_1 @ X70 )
      | ~ ( c1_1 @ X70 )
      | ~ ( c2_1 @ X70 )
      | ~ ndr1_0
      | ( c2_1 @ X71 )
      | ( c3_1 @ X71 )
      | ~ ( c0_1 @ X71 )
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) )
    | hskp26
    | ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ~ ( c1_1 @ X66 )
        | ~ ( c2_1 @ X66 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl47,plain,
    ! [X66: $i] :
      ( ( c0_1 @ X66 )
      | ~ ( c1_1 @ X66 )
      | ~ ( c2_1 @ X66 )
      | ~ ndr1_0
      | hskp10
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl377,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ~ ( c1_1 @ X66 )
        | ~ ( c2_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ~ ( c1_1 @ X66 )
        | ~ ( c2_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl736_017,plain,
    ( ~ ( c0_1 @ a214 )
   <= ~ ( c0_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl1467,plain,
    ( ( ~ ( c2_1 @ a214 )
      | ~ ( c1_1 @ a214 ) )
   <= ( ~ ( c0_1 @ a214 )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ~ ( c1_1 @ X66 )
          | ~ ( c2_1 @ X66 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl736]) ).

thf('39',plain,
    ( ~ ( c1_1 @ a214 )
    | ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ~ ( c1_1 @ X66 )
          | ~ ( c2_1 @ X66 ) )
    | ( c0_1 @ a214 )
    | ~ ( c2_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl1467]) ).

thf('40',plain,
    ( ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c3_1 @ X100 ) )
    | hskp1
    | hskp8
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl422_018,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ~ ( c3_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ~ ( c3_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a225 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl680,plain,
    ( ~ ( c0_1 @ a225 )
   <= ~ ( c0_1 @ a225 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl1743,plain,
    ( ( ~ ( c3_1 @ a225 )
      | ( c2_1 @ a225 ) )
   <= ( ~ ( c0_1 @ a225 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ~ ( c3_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl680]) ).

thf('41',plain,
    ( ( c0_1 @ a225 )
    | ( c2_1 @ a225 )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ~ ( c3_1 @ X86 ) )
    | ~ ( c3_1 @ a225 ) ),
    inference(split,[status(esa)],[zip_derived_cl1743]) ).

thf('42',plain,
    ( hskp5
    | ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ~ ( c3_1 @ X86 ) )
    | ! [X35: $i] :
        ( ( c3_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c2_1 @ X35 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl453_019,plain,
    ( ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c3_1 @ X100 ) )
   <= ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c3_1 @ X100 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp2
    | ~ ( c0_1 @ a215 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl728,plain,
    ( ~ ( c0_1 @ a215 )
   <= ~ ( c0_1 @ a215 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl1932,plain,
    ( ( ~ ( c3_1 @ a215 )
      | ( c1_1 @ a215 ) )
   <= ( ~ ( c0_1 @ a215 )
      & ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c3_1 @ X100 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl728]) ).

thf('43',plain,
    ( ~ ( c3_1 @ a215 )
    | ~ ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c3_1 @ X100 ) )
    | ( c0_1 @ a215 )
    | ( c1_1 @ a215 ) ),
    inference(split,[status(esa)],[zip_derived_cl1932]) ).

thf(zip_derived_cl32,plain,
    ! [X40: $i,X41: $i] :
      ( ( c1_1 @ X40 )
      | ( c2_1 @ X40 )
      | ~ ( c3_1 @ X40 )
      | ~ ndr1_0
      | ( c1_1 @ X41 )
      | ( c3_1 @ X41 )
      | ~ ( c0_1 @ X41 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl318,plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl674_020,plain,
    ( ~ ( c2_1 @ a226 )
   <= ~ ( c2_1 @ a226 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1249,plain,
    ( ( ~ ( c3_1 @ a226 )
      | ( c1_1 @ a226 ) )
   <= ( ~ ( c2_1 @ a226 )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl674]) ).

thf('44',plain,
    ( ~ ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
    | ~ ( c3_1 @ a226 )
    | ( c1_1 @ a226 )
    | ( c2_1 @ a226 ) ),
    inference(split,[status(esa)],[zip_derived_cl1249]) ).

thf(zip_derived_cl434,plain,
    ( ! [X92: $i] :
        ( ( c0_1 @ X92 )
        | ( c2_1 @ X92 )
        | ~ ( c1_1 @ X92 ) )
   <= ! [X92: $i] :
        ( ( c0_1 @ X92 )
        | ( c2_1 @ X92 )
        | ~ ( c1_1 @ X92 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl560_021,plain,
    ( ~ ( c0_1 @ a274 )
   <= ~ ( c0_1 @ a274 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl1828,plain,
    ( ( ~ ( c1_1 @ a274 )
      | ( c2_1 @ a274 ) )
   <= ( ~ ( c0_1 @ a274 )
      & ! [X92: $i] :
          ( ( c0_1 @ X92 )
          | ( c2_1 @ X92 )
          | ~ ( c1_1 @ X92 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl560]) ).

thf('45',plain,
    ( ~ ! [X92: $i] :
          ( ( c0_1 @ X92 )
          | ( c2_1 @ X92 )
          | ~ ( c1_1 @ X92 ) )
    | ( c2_1 @ a274 )
    | ( c0_1 @ a274 )
    | ~ ( c1_1 @ a274 ) ),
    inference(split,[status(esa)],[zip_derived_cl1828]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp21
    | ( c0_1 @ a259 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('46',plain,
    ( ( c0_1 @ a259 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp21
    | ( c3_1 @ a259 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ( c3_1 @ a259 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp21
    | ~ ( c2_1 @ a259 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( ~ ( c2_1 @ a259 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl574,plain,
    ( ( c0_1 @ a259 )
   <= ( c0_1 @ a259 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl253_022,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl991,plain,
    ( ( ( c2_1 @ a259 )
      | ~ ( c3_1 @ a259 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c0_1 @ a259 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl574,zip_derived_cl253]) ).

thf('49',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c0_1 @ a259 )
    | ( c2_1 @ a259 )
    | ~ ( c3_1 @ a259 ) ),
    inference(split,[status(esa)],[zip_derived_cl991]) ).

thf(zip_derived_cl28,plain,
    ! [X31: $i] :
      ( ( c1_1 @ X31 )
      | ( c3_1 @ X31 )
      | ~ ( c2_1 @ X31 )
      | ~ ndr1_0
      | hskp12
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('50',plain,
    ( hskp21
    | hskp12
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf('51',plain,
    ( hskp2
    | hskp0
    | ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl465_023,plain,
    ( ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) )
   <= ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a255 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl590,plain,
    ( ~ ( c0_1 @ a255 )
   <= ~ ( c0_1 @ a255 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl1979,plain,
    ( ( ~ ( c2_1 @ a255 )
      | ( c1_1 @ a255 ) )
   <= ( ~ ( c0_1 @ a255 )
      & ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl590]) ).

thf('52',plain,
    ( ~ ( c2_1 @ a255 )
    | ~ ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) )
    | ( c0_1 @ a255 )
    | ( c1_1 @ a255 ) ),
    inference(split,[status(esa)],[zip_derived_cl1979]) ).

thf(zip_derived_cl465_024,plain,
    ( ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) )
   <= ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl728_025,plain,
    ( ~ ( c0_1 @ a215 )
   <= ~ ( c0_1 @ a215 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl1973,plain,
    ( ( ~ ( c2_1 @ a215 )
      | ( c1_1 @ a215 ) )
   <= ( ~ ( c0_1 @ a215 )
      & ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl728]) ).

thf('53',plain,
    ( ~ ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) )
    | ( c0_1 @ a215 )
    | ( c1_1 @ a215 )
    | ~ ( c2_1 @ a215 ) ),
    inference(split,[status(esa)],[zip_derived_cl1973]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp7
    | ( c2_1 @ a223 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl688,plain,
    ( ( c2_1 @ a223 )
   <= ( c2_1 @ a223 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl225_026,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1146,plain,
    ( ( ~ ( c1_1 @ a223 )
      | ~ ( c3_1 @ a223 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c2_1 @ a223 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl688,zip_derived_cl225]) ).

thf('54',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a223 )
    | ~ ( c2_1 @ a223 )
    | ~ ( c1_1 @ a223 ) ),
    inference(split,[status(esa)],[zip_derived_cl1146]) ).

thf(zip_derived_cl688_027,plain,
    ( ( c2_1 @ a223 )
   <= ( c2_1 @ a223 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl310_028,plain,
    ( ! [X35: $i] :
        ( ( c3_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c2_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c3_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c2_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1149,plain,
    ( ( ( c3_1 @ a223 )
      | ~ ( c1_1 @ a223 ) )
   <= ( ! [X35: $i] :
          ( ( c3_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c2_1 @ X35 ) )
      & ( c2_1 @ a223 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl688,zip_derived_cl310]) ).

thf('55',plain,
    ( ( c3_1 @ a223 )
    | ~ ( c1_1 @ a223 )
    | ~ ! [X35: $i] :
          ( ( c3_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c2_1 @ X35 ) )
    | ~ ( c2_1 @ a223 ) ),
    inference(split,[status(esa)],[zip_derived_cl1149]) ).

thf(zip_derived_cl14,plain,
    ! [X8: $i] :
      ( ( c3_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ( c2_1 @ X8 )
      | ~ ndr1_0
      | hskp7
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
    | hskp7
    | ~ ndr1_0
    | hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl333_029,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_cl36]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp16
    | ( c0_1 @ a245 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl614,plain,
    ( ( c0_1 @ a245 )
   <= ( c0_1 @ a245 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl10,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp10
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl229,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1037,plain,
    ( ( ~ ( c2_1 @ a245 )
      | ~ ( c3_1 @ a245 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c0_1 @ a245 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl229]) ).

thf(zip_derived_cl1079,plain,
    ( ~ ( c2_1 @ a245 )
   <= ~ ( c2_1 @ a245 ) ),
    inference(split,[status(esa)],[zip_derived_cl1037]) ).

thf(zip_derived_cl1542,plain,
    ( ( ( c3_1 @ a245 )
      | ( c1_1 @ a245 ) )
   <= ( ~ ( c2_1 @ a245 )
      & ! [X47: $i] :
          ( ( c1_1 @ X47 )
          | ( c2_1 @ X47 )
          | ( c3_1 @ X47 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl1079]) ).

thf('57',plain,
    ( ( c2_1 @ a245 )
    | ( c1_1 @ a245 )
    | ~ ! [X47: $i] :
          ( ( c1_1 @ X47 )
          | ( c2_1 @ X47 )
          | ( c3_1 @ X47 ) )
    | ( c3_1 @ a245 ) ),
    inference(split,[status(esa)],[zip_derived_cl1542]) ).

thf(zip_derived_cl614_030,plain,
    ( ( c0_1 @ a245 )
   <= ( c0_1 @ a245 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl33,plain,
    ! [X42: $i] :
      ( ( c1_1 @ X42 )
      | ( c2_1 @ X42 )
      | ~ ( c0_1 @ X42 )
      | ~ ndr1_0
      | hskp12
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl321,plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c0_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c0_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1388,plain,
    ( ( ( c1_1 @ a245 )
      | ( c2_1 @ a245 ) )
   <= ( ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ~ ( c0_1 @ X42 ) )
      & ( c0_1 @ a245 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl321]) ).

thf('58',plain,
    ( ( c2_1 @ a245 )
    | ( c1_1 @ a245 )
    | ~ ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ~ ( c0_1 @ X42 ) )
    | ~ ( c0_1 @ a245 ) ),
    inference(split,[status(esa)],[zip_derived_cl1388]) ).

thf(zip_derived_cl614_031,plain,
    ( ( c0_1 @ a245 )
   <= ( c0_1 @ a245 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl245,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1040,plain,
    ( ( ( c3_1 @ a245 )
      | ~ ( c2_1 @ a245 ) )
   <= ( ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
      & ( c0_1 @ a245 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl245]) ).

thf('59',plain,
    ( ~ ( c2_1 @ a245 )
    | ~ ( c0_1 @ a245 )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ( c3_1 @ a245 ) ),
    inference(split,[status(esa)],[zip_derived_cl1040]) ).

thf(zip_derived_cl2,plain,
    ( hskp12
    | hskp16
    | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('60',plain,
    ( hskp13
    | hskp12
    | hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp12
    | ( c0_1 @ a237 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl646,plain,
    ( ( c0_1 @ a237 )
   <= ( c0_1 @ a237 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl245_032,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1067,plain,
    ( ( ( c3_1 @ a237 )
      | ~ ( c2_1 @ a237 ) )
   <= ( ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
      & ( c0_1 @ a237 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl646,zip_derived_cl245]) ).

thf('61',plain,
    ( ~ ( c0_1 @ a237 )
    | ( c3_1 @ a237 )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ~ ( c2_1 @ a237 ) ),
    inference(split,[status(esa)],[zip_derived_cl1067]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp2
    | ( c2_1 @ a215 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl726,plain,
    ( ( c2_1 @ a215 )
   <= ( c2_1 @ a215 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl301,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c2_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1181,plain,
    ( ( ( c1_1 @ a215 )
      | ( c3_1 @ a215 ) )
   <= ( ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
      & ( c2_1 @ a215 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl301]) ).

thf('62',plain,
    ( ( c3_1 @ a215 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
    | ( c1_1 @ a215 )
    | ~ ( c2_1 @ a215 ) ),
    inference(split,[status(esa)],[zip_derived_cl1181]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp13
    | ( c3_1 @ a239 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( ( c3_1 @ a239 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp13
    | ( c2_1 @ a239 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( ( c2_1 @ a239 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp13
    | ~ ( c1_1 @ a239 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('65',plain,
    ( ~ ( c1_1 @ a239 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl638,plain,
    ( ( c2_1 @ a239 )
   <= ( c2_1 @ a239 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl22,plain,
    ! [X23: $i] :
      ( ( c1_1 @ X23 )
      | ~ ( c2_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ~ ndr1_0
      | hskp15
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl277,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1062,plain,
    ( ( ( c1_1 @ a239 )
      | ~ ( c3_1 @ a239 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c2_1 @ a239 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl638,zip_derived_cl277]) ).

thf('66',plain,
    ( ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c2_1 @ a239 )
    | ( c1_1 @ a239 )
    | ~ ( c3_1 @ a239 ) ),
    inference(split,[status(esa)],[zip_derived_cl1062]) ).

thf(zip_derived_cl422_033,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ~ ( c3_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ~ ( c3_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a231 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl666,plain,
    ( ~ ( c0_1 @ a231 )
   <= ~ ( c0_1 @ a231 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1744,plain,
    ( ( ~ ( c3_1 @ a231 )
      | ( c2_1 @ a231 ) )
   <= ( ~ ( c0_1 @ a231 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ~ ( c3_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl666]) ).

thf('67',plain,
    ( ( c2_1 @ a231 )
    | ~ ( c3_1 @ a231 )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ~ ( c3_1 @ X86 ) )
    | ( c0_1 @ a231 ) ),
    inference(split,[status(esa)],[zip_derived_cl1744]) ).

thf('68',plain,
    ( ~ ( c0_1 @ a231 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl646_034,plain,
    ( ( c0_1 @ a237 )
   <= ( c0_1 @ a237 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl27,plain,
    ! [X29: $i,X30: $i] :
      ( ( c1_1 @ X29 )
      | ~ ( c0_1 @ X29 )
      | ~ ( c2_1 @ X29 )
      | ~ ndr1_0
      | ( c2_1 @ X30 )
      | ~ ( c0_1 @ X30 )
      | ~ ( c1_1 @ X30 )
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl298,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1073,plain,
    ( ( ( c1_1 @ a237 )
      | ~ ( c2_1 @ a237 ) )
   <= ( ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
      & ( c0_1 @ a237 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl646,zip_derived_cl298]) ).

thf('69',plain,
    ( ( c1_1 @ a237 )
    | ~ ( c2_1 @ a237 )
    | ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ~ ( c0_1 @ a237 ) ),
    inference(split,[status(esa)],[zip_derived_cl1073]) ).

thf(zip_derived_cl4639,plain,
    ( ( c2_1 @ a241 )
   <= ( c2_1 @ a241 ) ),
    inference(split,[status(esa)],[zip_derived_cl1745]) ).

thf(zip_derived_cl277_035,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl4664,plain,
    ( ( ( c1_1 @ a241 )
      | ~ ( c3_1 @ a241 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c2_1 @ a241 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4639,zip_derived_cl277]) ).

thf('70',plain,
    ( ~ ( c2_1 @ a241 )
    | ~ ( c3_1 @ a241 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ( c1_1 @ a241 ) ),
    inference(split,[status(esa)],[zip_derived_cl4664]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp14
    | ( c3_1 @ a241 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('71',plain,
    ( ( c3_1 @ a241 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp14
    | ~ ( c1_1 @ a241 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('72',plain,
    ( ~ ( c1_1 @ a241 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf('73',plain,
    ( hskp14
    | ! [X9: $i] :
        ( ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
    | ~ ndr1_0
    | ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c3_1 @ X74 )
        | ~ ( c2_1 @ X74 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl350_036,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl632_037,plain,
    ( ~ ( c0_1 @ a241 )
   <= ~ ( c0_1 @ a241 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1345,plain,
    ( ( ~ ( c3_1 @ a241 )
      | ~ ( c2_1 @ a241 ) )
   <= ( ~ ( c0_1 @ a241 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl632]) ).

thf(zip_derived_cl1781,plain,
    ( ~ ( c2_1 @ a241 )
   <= ~ ( c2_1 @ a241 ) ),
    inference(split,[status(esa)],[zip_derived_cl1345]) ).

thf(zip_derived_cl318_038,plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl1784,plain,
    ( ( ( c1_1 @ a241 )
      | ~ ( c3_1 @ a241 ) )
   <= ( ~ ( c2_1 @ a241 )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1781,zip_derived_cl318]) ).

thf('74',plain,
    ( ( c2_1 @ a241 )
    | ~ ( c3_1 @ a241 )
    | ~ ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
    | ( c1_1 @ a241 ) ),
    inference(split,[status(esa)],[zip_derived_cl1784]) ).

thf(zip_derived_cl59,plain,
    ! [X88: $i,X89: $i] :
      ( ( c0_1 @ X88 )
      | ( c2_1 @ X88 )
      | ~ ( c3_1 @ X88 )
      | ~ ndr1_0
      | ( c3_1 @ X89 )
      | ~ ( c1_1 @ X89 )
      | ~ ( c2_1 @ X89 )
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('75',plain,
    ( hskp26
    | ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ~ ( c3_1 @ X86 ) )
    | ! [X35: $i] :
        ( ( c3_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c2_1 @ X35 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl646_039,plain,
    ( ( c0_1 @ a237 )
   <= ( c0_1 @ a237 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl311,plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c0_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1136,plain,
    ( ( ( c1_1 @ a237 )
      | ( c3_1 @ a237 ) )
   <= ( ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
      & ( c0_1 @ a237 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl646,zip_derived_cl311]) ).

thf('76',plain,
    ( ( c1_1 @ a237 )
    | ( c3_1 @ a237 )
    | ~ ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
    | ~ ( c0_1 @ a237 ) ),
    inference(split,[status(esa)],[zip_derived_cl1136]) ).

thf('77',plain,
    ( ( c0_1 @ a237 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl646_040,plain,
    ( ( c0_1 @ a237 )
   <= ( c0_1 @ a237 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl15,plain,
    ! [X9: $i,X10: $i] :
      ( ( c3_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ( c1_1 @ X9 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X10 )
      | ~ ( c2_1 @ X10 )
      | ~ ( c3_1 @ X10 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl250,plain,
    ( ! [X9: $i] :
        ( ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1068,plain,
    ( ( ( c3_1 @ a237 )
      | ~ ( c1_1 @ a237 ) )
   <= ( ! [X9: $i] :
          ( ( c3_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
      & ( c0_1 @ a237 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl646,zip_derived_cl250]) ).

thf('78',plain,
    ( ~ ( c1_1 @ a237 )
    | ( c3_1 @ a237 )
    | ~ ! [X9: $i] :
          ( ( c3_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
    | ~ ( c0_1 @ a237 ) ),
    inference(split,[status(esa)],[zip_derived_cl1068]) ).

thf(zip_derived_cl318_041,plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp5
    | ~ ( c2_1 @ a218 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl706,plain,
    ( ~ ( c2_1 @ a218 )
   <= ~ ( c2_1 @ a218 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl1247,plain,
    ( ( ~ ( c3_1 @ a218 )
      | ( c1_1 @ a218 ) )
   <= ( ~ ( c2_1 @ a218 )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl706]) ).

thf('79',plain,
    ( ~ ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
    | ~ ( c3_1 @ a218 )
    | ( c1_1 @ a218 )
    | ( c2_1 @ a218 ) ),
    inference(split,[status(esa)],[zip_derived_cl1247]) ).

thf(zip_derived_cl31,plain,
    ! [X37: $i,X38: $i,X39: $i] :
      ( ( c1_1 @ X37 )
      | ( c3_1 @ X37 )
      | ~ ( c0_1 @ X37 )
      | ~ ndr1_0
      | ( c1_1 @ X38 )
      | ( c3_1 @ X38 )
      | ~ ( c2_1 @ X38 )
      | ~ ndr1_0
      | ( c2_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ~ ( c3_1 @ X39 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | ~ ndr1_0
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c2_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp5
    | ( c3_1 @ a218 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( ( c3_1 @ a218 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp5
    | ~ ( c1_1 @ a218 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('82',plain,
    ( ~ ( c1_1 @ a218 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf('83',plain,
    ( ~ ( c2_1 @ a218 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp26
    | ( c0_1 @ a234 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl534,plain,
    ( ( c0_1 @ a234 )
   <= ( c0_1 @ a234 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl253_042,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl939,plain,
    ( ( ( c2_1 @ a234 )
      | ~ ( c3_1 @ a234 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c0_1 @ a234 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl253]) ).

thf('84',plain,
    ( ( c2_1 @ a234 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c0_1 @ a234 )
    | ~ ( c3_1 @ a234 ) ),
    inference(split,[status(esa)],[zip_derived_cl939]) ).

thf(zip_derived_cl72,plain,
    ! [X111: $i,X112: $i] :
      ( ( c0_1 @ X111 )
      | ( c1_1 @ X111 )
      | ~ ( c2_1 @ X111 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X112 )
      | ~ ( c1_1 @ X112 )
      | ~ ( c3_1 @ X112 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('85',plain,
    ( hskp5
    | ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) )
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl1587,plain,
    ( ( c2_1 @ a234 )
   <= ( c2_1 @ a234 ) ),
    inference(split,[status(esa)],[zip_derived_cl939]) ).

thf(zip_derived_cl225_043,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1589,plain,
    ( ( ~ ( c1_1 @ a234 )
      | ~ ( c3_1 @ a234 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c2_1 @ a234 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1587,zip_derived_cl225]) ).

thf('86',plain,
    ( ~ ( c2_1 @ a234 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a234 )
    | ~ ( c3_1 @ a234 ) ),
    inference(split,[status(esa)],[zip_derived_cl1589]) ).

thf(zip_derived_cl534_044,plain,
    ( ( c0_1 @ a234 )
   <= ( c0_1 @ a234 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl233_045,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl935,plain,
    ( ( ~ ( c1_1 @ a234 )
      | ~ ( c3_1 @ a234 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c0_1 @ a234 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl233]) ).

thf('87',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c0_1 @ a234 )
    | ~ ( c3_1 @ a234 )
    | ~ ( c1_1 @ a234 ) ),
    inference(split,[status(esa)],[zip_derived_cl935]) ).

thf('88',plain,
    ( ( c0_1 @ a234 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp26
    | ( c1_1 @ a234 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('89',plain,
    ( ( c1_1 @ a234 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp26
    | ( c3_1 @ a234 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('90',plain,
    ( ( c3_1 @ a234 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl4604,plain,
    ( ( c2_1 @ a231 )
   <= ( c2_1 @ a231 ) ),
    inference(split,[status(esa)],[zip_derived_cl1744]) ).

thf(zip_derived_cl225_046,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl4606,plain,
    ( ( ~ ( c1_1 @ a231 )
      | ~ ( c3_1 @ a231 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c2_1 @ a231 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4604,zip_derived_cl225]) ).

thf('91',plain,
    ( ~ ( c2_1 @ a231 )
    | ~ ( c1_1 @ a231 )
    | ~ ( c3_1 @ a231 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4606]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp8
    | ~ ( c2_1 @ a225 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('92',plain,
    ( ~ ( c2_1 @ a225 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl35,plain,
    ! [X44: $i,X45: $i,X46: $i] :
      ( ( c1_1 @ X44 )
      | ( c2_1 @ X44 )
      | ~ ( c0_1 @ X44 )
      | ~ ndr1_0
      | ( c1_1 @ X45 )
      | ( c3_1 @ X45 )
      | ~ ( c2_1 @ X45 )
      | ~ ndr1_0
      | ( c2_1 @ X46 )
      | ~ ( c1_1 @ X46 )
      | ~ ( c3_1 @ X46 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl329,plain,
    ( ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c3_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c3_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl682,plain,
    ( ~ ( c2_1 @ a225 )
   <= ~ ( c2_1 @ a225 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl1293,plain,
    ( ( ~ ( c3_1 @ a225 )
      | ~ ( c1_1 @ a225 ) )
   <= ( ~ ( c2_1 @ a225 )
      & ! [X46: $i] :
          ( ( c2_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c3_1 @ X46 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl682]) ).

thf('93',plain,
    ( ~ ! [X46: $i] :
          ( ( c2_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
    | ~ ( c1_1 @ a225 )
    | ~ ( c3_1 @ a225 )
    | ( c2_1 @ a225 ) ),
    inference(split,[status(esa)],[zip_derived_cl1293]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp8
    | ( c3_1 @ a225 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ( c3_1 @ a225 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf('95',plain,
    ( ~ ( c0_1 @ a225 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl67,plain,
    ! [X101: $i,X102: $i] :
      ( ( c0_1 @ X101 )
      | ( c1_1 @ X101 )
      | ~ ( c3_1 @ X101 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X102 )
      | ~ ( c2_1 @ X102 )
      | ~ ( c3_1 @ X102 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('96',plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c3_1 @ X100 ) )
    | hskp7
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf('97',plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | hskp8
    | ~ ndr1_0
    | hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp18
    | ( c0_1 @ a252 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl598,plain,
    ( ( c0_1 @ a252 )
   <= ( c0_1 @ a252 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl229_047,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1006,plain,
    ( ( ~ ( c2_1 @ a252 )
      | ~ ( c3_1 @ a252 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c0_1 @ a252 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl229]) ).

thf('98',plain,
    ( ~ ( c2_1 @ a252 )
    | ~ ( c0_1 @ a252 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a252 ) ),
    inference(split,[status(esa)],[zip_derived_cl1006]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp18
    | ( c2_1 @ a252 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl600,plain,
    ( ( c2_1 @ a252 )
   <= ( c2_1 @ a252 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl301_048,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c2_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1034,plain,
    ( ( ( c1_1 @ a252 )
      | ( c3_1 @ a252 ) )
   <= ( ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
      & ( c2_1 @ a252 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl600,zip_derived_cl301]) ).

thf('99',plain,
    ( ( c3_1 @ a252 )
    | ( c1_1 @ a252 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
    | ~ ( c2_1 @ a252 ) ),
    inference(split,[status(esa)],[zip_derived_cl1034]) ).

thf(zip_derived_cl350_049,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl590_050,plain,
    ( ~ ( c0_1 @ a255 )
   <= ~ ( c0_1 @ a255 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl1347,plain,
    ( ( ~ ( c3_1 @ a255 )
      | ~ ( c2_1 @ a255 ) )
   <= ( ~ ( c0_1 @ a255 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl590]) ).

thf(zip_derived_cl1793,plain,
    ( ~ ( c2_1 @ a255 )
   <= ~ ( c2_1 @ a255 ) ),
    inference(split,[status(esa)],[zip_derived_cl1347]) ).

thf(zip_derived_cl333_051,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_cl36]) ).

thf(zip_derived_cl1798,plain,
    ( ( ( c1_1 @ a255 )
      | ( c3_1 @ a255 ) )
   <= ( ~ ( c2_1 @ a255 )
      & ! [X47: $i] :
          ( ( c1_1 @ X47 )
          | ( c2_1 @ X47 )
          | ( c3_1 @ X47 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1793,zip_derived_cl333]) ).

thf('100',plain,
    ( ( c2_1 @ a255 )
    | ( c3_1 @ a255 )
    | ~ ! [X47: $i] :
          ( ( c1_1 @ X47 )
          | ( c2_1 @ X47 )
          | ( c3_1 @ X47 ) )
    | ( c1_1 @ a255 ) ),
    inference(split,[status(esa)],[zip_derived_cl1798]) ).

thf('101',plain,
    ( ~ ( c0_1 @ a255 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp19
    | ~ ( c1_1 @ a255 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('102',plain,
    ( ~ ( c1_1 @ a255 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a255 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('103',plain,
    ( ~ ( c3_1 @ a255 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf('104',plain,
    ( ! [X47: $i] :
        ( ( c1_1 @ X47 )
        | ( c2_1 @ X47 )
        | ( c3_1 @ X47 ) )
    | hskp27
    | hskp2
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl0,plain,
    ( hskp25
    | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('105',plain,
    ( hskp19
    | hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl398_052,plain,
    ( ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c3_1 @ X74 )
        | ~ ( c2_1 @ X74 ) )
   <= ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c3_1 @ X74 )
        | ~ ( c2_1 @ X74 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl728_053,plain,
    ( ~ ( c0_1 @ a215 )
   <= ~ ( c0_1 @ a215 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl1617,plain,
    ( ( ~ ( c2_1 @ a215 )
      | ( c3_1 @ a215 ) )
   <= ( ~ ( c0_1 @ a215 )
      & ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c3_1 @ X74 )
          | ~ ( c2_1 @ X74 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl728]) ).

thf('106',plain,
    ( ~ ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c3_1 @ X74 )
          | ~ ( c2_1 @ X74 ) )
    | ( c3_1 @ a215 )
    | ( c0_1 @ a215 )
    | ~ ( c2_1 @ a215 ) ),
    inference(split,[status(esa)],[zip_derived_cl1617]) ).

thf('107',plain,
    ( ( c2_1 @ a215 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf('108',plain,
    ( ~ ( c0_1 @ a215 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp2
    | ~ ( c1_1 @ a215 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('109',plain,
    ( ~ ( c1_1 @ a215 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl726_054,plain,
    ( ( c2_1 @ a215 )
   <= ( c2_1 @ a215 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl277_055,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1180,plain,
    ( ( ( c1_1 @ a215 )
      | ~ ( c3_1 @ a215 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c2_1 @ a215 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl277]) ).

thf('110',plain,
    ( ~ ( c3_1 @ a215 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ( c1_1 @ a215 )
    | ~ ( c2_1 @ a215 ) ),
    inference(split,[status(esa)],[zip_derived_cl1180]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp25
    | ( c2_1 @ a320 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl542,plain,
    ( ( c2_1 @ a320 )
   <= ( c2_1 @ a320 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl225_056,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl943,plain,
    ( ( ~ ( c1_1 @ a320 )
      | ~ ( c3_1 @ a320 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c2_1 @ a320 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl225]) ).

thf('111',plain,
    ( ~ ( c3_1 @ a320 )
    | ~ ( c2_1 @ a320 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a320 ) ),
    inference(split,[status(esa)],[zip_derived_cl943]) ).

thf('112',plain,
    ( ~ hskp25
    | ( c2_1 @ a320 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp25
    | ( c3_1 @ a320 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('113',plain,
    ( ~ hskp25
    | ( c3_1 @ a320 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl542_057,plain,
    ( ( c2_1 @ a320 )
   <= ( c2_1 @ a320 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl277_058,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl944,plain,
    ( ( ( c1_1 @ a320 )
      | ~ ( c3_1 @ a320 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c2_1 @ a320 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl277]) ).

thf('114',plain,
    ( ( c1_1 @ a320 )
    | ~ ( c3_1 @ a320 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c2_1 @ a320 ) ),
    inference(split,[status(esa)],[zip_derived_cl944]) ).

thf(zip_derived_cl398_059,plain,
    ( ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c3_1 @ X74 )
        | ~ ( c2_1 @ X74 ) )
   <= ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c3_1 @ X74 )
        | ~ ( c2_1 @ X74 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl590_060,plain,
    ( ~ ( c0_1 @ a255 )
   <= ~ ( c0_1 @ a255 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl1623,plain,
    ( ( ~ ( c2_1 @ a255 )
      | ( c3_1 @ a255 ) )
   <= ( ~ ( c0_1 @ a255 )
      & ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c3_1 @ X74 )
          | ~ ( c2_1 @ X74 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl590]) ).

thf('115',plain,
    ( ~ ( c2_1 @ a255 )
    | ~ ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c3_1 @ X74 )
          | ~ ( c2_1 @ X74 ) )
    | ( c0_1 @ a255 )
    | ( c3_1 @ a255 ) ),
    inference(split,[status(esa)],[zip_derived_cl1623]) ).

thf('116',plain,
    ( ~ ( c0_1 @ a214 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl398_061,plain,
    ( ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c3_1 @ X74 )
        | ~ ( c2_1 @ X74 ) )
   <= ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c3_1 @ X74 )
        | ~ ( c2_1 @ X74 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl736_062,plain,
    ( ~ ( c0_1 @ a214 )
   <= ~ ( c0_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl1616,plain,
    ( ( ~ ( c2_1 @ a214 )
      | ( c3_1 @ a214 ) )
   <= ( ~ ( c0_1 @ a214 )
      & ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c3_1 @ X74 )
          | ~ ( c2_1 @ X74 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl736]) ).

thf('117',plain,
    ( ~ ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c3_1 @ X74 )
          | ~ ( c2_1 @ X74 ) )
    | ( c0_1 @ a214 )
    | ( c3_1 @ a214 )
    | ~ ( c2_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl1616]) ).

thf(zip_derived_cl53,plain,
    ! [X76: $i,X77: $i] :
      ( ( c0_1 @ X76 )
      | ( c3_1 @ X76 )
      | ~ ( c2_1 @ X76 )
      | ~ ndr1_0
      | ( c1_1 @ X77 )
      | ~ ( c0_1 @ X77 )
      | ~ ( c2_1 @ X77 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('118',plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
    | hskp10
    | ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c3_1 @ X74 )
        | ~ ( c2_1 @ X74 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl598_063,plain,
    ( ( c0_1 @ a252 )
   <= ( c0_1 @ a252 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl298_064,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1015,plain,
    ( ( ( c1_1 @ a252 )
      | ~ ( c2_1 @ a252 ) )
   <= ( ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
      & ( c0_1 @ a252 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl298]) ).

thf('119',plain,
    ( ~ ( c2_1 @ a252 )
    | ~ ( c0_1 @ a252 )
    | ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ( c1_1 @ a252 ) ),
    inference(split,[status(esa)],[zip_derived_cl1015]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp7
    | ( c1_1 @ a223 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('120',plain,
    ( ( c1_1 @ a223 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf('121',plain,
    ( ( c2_1 @ a223 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf('122',plain,
    ( ~ ( c0_1 @ a223 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl377_065,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ~ ( c1_1 @ X66 )
        | ~ ( c2_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ~ ( c1_1 @ X66 )
        | ~ ( c2_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl690_066,plain,
    ( ~ ( c0_1 @ a223 )
   <= ~ ( c0_1 @ a223 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl1469,plain,
    ( ( ~ ( c2_1 @ a223 )
      | ~ ( c1_1 @ a223 ) )
   <= ( ~ ( c0_1 @ a223 )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ~ ( c1_1 @ X66 )
          | ~ ( c2_1 @ X66 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl690]) ).

thf('123',plain,
    ( ~ ( c2_1 @ a223 )
    | ( c0_1 @ a223 )
    | ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ~ ( c1_1 @ X66 )
          | ~ ( c2_1 @ X66 ) )
    | ~ ( c1_1 @ a223 ) ),
    inference(split,[status(esa)],[zip_derived_cl1469]) ).

thf('124',plain,
    ( ( c0_1 @ a252 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf('125',plain,
    ( ( c2_1 @ a252 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a252 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( ~ ( c1_1 @ a252 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf('127',plain,
    ( hskp17
    | ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ~ ( c1_1 @ X66 )
        | ~ ( c2_1 @ X66 ) )
    | hskp10
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl3,plain,
    ( hskp18
    | hskp27
    | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( hskp17
    | hskp27
    | hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp10
    | ( c1_1 @ a231 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('129',plain,
    ( ( c1_1 @ a231 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp10
    | ( c3_1 @ a231 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('130',plain,
    ( ( c3_1 @ a231 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl329_067,plain,
    ( ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c3_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c3_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl225_068,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1286,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X46: $i] :
          ( ( c2_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c3_1 @ X46 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl225]) ).

thf(zip_derived_cl1326,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X46: $i] :
          ( ( c2_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c3_1 @ X46 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1286]) ).

thf(zip_derived_cl662,plain,
    ( ( c1_1 @ a231 )
   <= ( c1_1 @ a231 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl2141,plain,
    ( ~ ( c3_1 @ a231 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X46: $i] :
          ( ( c2_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
      & ( c1_1 @ a231 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1326,zip_derived_cl662]) ).

thf(zip_derived_cl664,plain,
    ( ( c3_1 @ a231 )
   <= ( c3_1 @ a231 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf('131',plain,
    ( ~ ! [X46: $i] :
          ( ( c2_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
    | ~ ( c1_1 @ a231 )
    | ~ ( c3_1 @ a231 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2141,zip_derived_cl664]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp17
    | ( c3_1 @ a248 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( ( c3_1 @ a248 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf('133',plain,
    ( ( c1_1 @ a248 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf('134',plain,
    ( ~ ( c2_1 @ a248 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl329_069,plain,
    ( ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c3_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c3_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl610_070,plain,
    ( ~ ( c2_1 @ a248 )
   <= ~ ( c2_1 @ a248 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl1299,plain,
    ( ( ~ ( c3_1 @ a248 )
      | ~ ( c1_1 @ a248 ) )
   <= ( ~ ( c2_1 @ a248 )
      & ! [X46: $i] :
          ( ( c2_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c3_1 @ X46 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl610]) ).

thf('135',plain,
    ( ~ ! [X46: $i] :
          ( ( c2_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
    | ~ ( c3_1 @ a248 )
    | ( c2_1 @ a248 )
    | ~ ( c1_1 @ a248 ) ),
    inference(split,[status(esa)],[zip_derived_cl1299]) ).

thf(zip_derived_cl453_071,plain,
    ( ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c3_1 @ X100 ) )
   <= ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c3_1 @ X100 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl680_072,plain,
    ( ~ ( c0_1 @ a225 )
   <= ~ ( c0_1 @ a225 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl1934,plain,
    ( ( ~ ( c3_1 @ a225 )
      | ( c1_1 @ a225 ) )
   <= ( ~ ( c0_1 @ a225 )
      & ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c3_1 @ X100 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl680]) ).

thf('136',plain,
    ( ( c1_1 @ a225 )
    | ~ ( c3_1 @ a225 )
    | ~ ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c3_1 @ X100 ) )
    | ( c0_1 @ a225 ) ),
    inference(split,[status(esa)],[zip_derived_cl1934]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp27
    | ( c2_1 @ a261 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ( c2_1 @ a261 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp27
    | ( c1_1 @ a261 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( ( c1_1 @ a261 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp27
    | ( c3_1 @ a261 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('139',plain,
    ( ~ hskp27
    | ( c3_1 @ a261 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl528,plain,
    ( ( c2_1 @ a261 )
   <= ( c2_1 @ a261 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl225_073,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl918,plain,
    ( ( ~ ( c1_1 @ a261 )
      | ~ ( c3_1 @ a261 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c2_1 @ a261 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl225]) ).

thf('140',plain,
    ( ~ ( c3_1 @ a261 )
    | ~ ( c1_1 @ a261 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a261 ) ),
    inference(split,[status(esa)],[zip_derived_cl918]) ).

thf(zip_derived_cl74,plain,
    ! [X116: $i,X117: $i,X118: $i] :
      ( ( c0_1 @ X116 )
      | ( c1_1 @ X116 )
      | ~ ( c2_1 @ X116 )
      | ~ ndr1_0
      | ( c1_1 @ X117 )
      | ( c2_1 @ X117 )
      | ~ ( c3_1 @ X117 )
      | ~ ndr1_0
      | ( c3_1 @ X118 )
      | ~ ( c0_1 @ X118 )
      | ~ ( c1_1 @ X118 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('141',plain,
    ( ! [X9: $i] :
        ( ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
    | ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
    | ~ ndr1_0
    | ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp12
    | ( c2_1 @ a237 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl648,plain,
    ( ( c2_1 @ a237 )
   <= ( c2_1 @ a237 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl301_074,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c2_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1076,plain,
    ( ( ( c1_1 @ a237 )
      | ( c3_1 @ a237 ) )
   <= ( ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
      & ( c2_1 @ a237 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl301]) ).

thf('142',plain,
    ( ( c1_1 @ a237 )
    | ( c3_1 @ a237 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
    | ~ ( c2_1 @ a237 ) ),
    inference(split,[status(esa)],[zip_derived_cl1076]) ).

thf('143',plain,
    ( ( c2_1 @ a237 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp12
    | ~ ( c3_1 @ a237 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('144',plain,
    ( ~ ( c3_1 @ a237 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp1
    | ( c2_1 @ a214 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('145',plain,
    ( ( c2_1 @ a214 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl734,plain,
    ( ( c2_1 @ a214 )
   <= ( c2_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl310_075,plain,
    ( ! [X35: $i] :
        ( ( c3_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c2_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c3_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c2_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1186,plain,
    ( ( ( c3_1 @ a214 )
      | ~ ( c1_1 @ a214 ) )
   <= ( ! [X35: $i] :
          ( ( c3_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c2_1 @ X35 ) )
      & ( c2_1 @ a214 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl310]) ).

thf('146',plain,
    ( ~ ( c1_1 @ a214 )
    | ~ ! [X35: $i] :
          ( ( c3_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c2_1 @ X35 ) )
    | ~ ( c2_1 @ a214 )
    | ( c3_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl1186]) ).

thf(zip_derived_cl648_076,plain,
    ( ( c2_1 @ a237 )
   <= ( c2_1 @ a237 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl310_077,plain,
    ( ! [X35: $i] :
        ( ( c3_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c2_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c3_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c2_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1089,plain,
    ( ( ( c3_1 @ a237 )
      | ~ ( c1_1 @ a237 ) )
   <= ( ! [X35: $i] :
          ( ( c3_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c2_1 @ X35 ) )
      & ( c2_1 @ a237 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl310]) ).

thf('147',plain,
    ( ~ ( c1_1 @ a237 )
    | ~ ( c2_1 @ a237 )
    | ~ ! [X35: $i] :
          ( ( c3_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c2_1 @ X35 ) )
    | ( c3_1 @ a237 ) ),
    inference(split,[status(esa)],[zip_derived_cl1089]) ).

thf(zip_derived_cl197,plain,
    ( ~ hskp0
    | ( c2_1 @ a213 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( ( c2_1 @ a213 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl198,plain,
    ( ~ hskp0
    | ~ ( c1_1 @ a213 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('149',plain,
    ( ~ ( c1_1 @ a213 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl199,plain,
    ( ~ hskp0
    | ~ ( c3_1 @ a213 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ~ ( c3_1 @ a213 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl742,plain,
    ( ( c2_1 @ a213 )
   <= ( c2_1 @ a213 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl301_078,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c2_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1189,plain,
    ( ( ( c1_1 @ a213 )
      | ( c3_1 @ a213 ) )
   <= ( ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
      & ( c2_1 @ a213 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl742,zip_derived_cl301]) ).

thf('151',plain,
    ( ~ ( c2_1 @ a213 )
    | ( c1_1 @ a213 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
    | ( c3_1 @ a213 ) ),
    inference(split,[status(esa)],[zip_derived_cl1189]) ).

thf(zip_derived_cl734_079,plain,
    ( ( c2_1 @ a214 )
   <= ( c2_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl301_080,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c2_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1185,plain,
    ( ( ( c1_1 @ a214 )
      | ( c3_1 @ a214 ) )
   <= ( ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
      & ( c2_1 @ a214 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl301]) ).

thf('152',plain,
    ( ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
    | ( c1_1 @ a214 )
    | ( c3_1 @ a214 )
    | ~ ( c2_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl1185]) ).

thf(zip_derived_cl29,plain,
    ! [X32: $i,X33: $i] :
      ( ( c1_1 @ X32 )
      | ( c3_1 @ X32 )
      | ~ ( c2_1 @ X32 )
      | ~ ndr1_0
      | ( c1_1 @ X33 )
      | ~ ( c2_1 @ X33 )
      | ~ ( c3_1 @ X33 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( hskp1
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
    | ~ ndr1_0
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp1
    | ~ ( c3_1 @ a214 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('154',plain,
    ( ~ ( c3_1 @ a214 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp6
    | ( c1_1 @ a220 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('155',plain,
    ( ( c1_1 @ a220 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp6
    | ( c2_1 @ a220 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('156',plain,
    ( ( c2_1 @ a220 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp6
    | ~ ( c3_1 @ a220 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('157',plain,
    ( ~ ( c3_1 @ a220 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl696,plain,
    ( ( c2_1 @ a220 )
   <= ( c2_1 @ a220 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl310_081,plain,
    ( ! [X35: $i] :
        ( ( c3_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c2_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c3_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c2_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1153,plain,
    ( ( ( c3_1 @ a220 )
      | ~ ( c1_1 @ a220 ) )
   <= ( ! [X35: $i] :
          ( ( c3_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c2_1 @ X35 ) )
      & ( c2_1 @ a220 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl310]) ).

thf('158',plain,
    ( ~ ( c1_1 @ a220 )
    | ( c3_1 @ a220 )
    | ~ ! [X35: $i] :
          ( ( c3_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c2_1 @ X35 ) )
    | ~ ( c2_1 @ a220 ) ),
    inference(split,[status(esa)],[zip_derived_cl1153]) ).

thf('159',plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
    | ! [X35: $i] :
        ( ( c3_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c2_1 @ X35 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf('160',plain,
    ( ( c0_1 @ a245 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a245 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('161',plain,
    ( ~ ( c1_1 @ a245 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp16
    | ~ ( c3_1 @ a245 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( ~ ( c3_1 @ a245 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl614_082,plain,
    ( ( c0_1 @ a245 )
   <= ( c0_1 @ a245 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl311_083,plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c0_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1137,plain,
    ( ( ( c1_1 @ a245 )
      | ( c3_1 @ a245 ) )
   <= ( ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
      & ( c0_1 @ a245 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl311]) ).

thf('163',plain,
    ( ~ ( c0_1 @ a245 )
    | ( c1_1 @ a245 )
    | ~ ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
    | ( c3_1 @ a245 ) ),
    inference(split,[status(esa)],[zip_derived_cl1137]) ).

thf(zip_derived_cl8,plain,
    ( hskp3
    | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( hskp3
    | hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp3
    | ( c1_1 @ a216 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('165',plain,
    ( ( c1_1 @ a216 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl718_084,plain,
    ( ( c0_1 @ a216 )
   <= ( c0_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl17,plain,
    ! [X12: $i,X13: $i,X14: $i] :
      ( ( c2_1 @ X12 )
      | ~ ( c0_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ndr1_0
      | ( c3_1 @ X13 )
      | ~ ( c0_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X14 )
      | ~ ( c2_1 @ X14 )
      | ~ ( c3_1 @ X14 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl259,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1172,plain,
    ( ( ( c2_1 @ a216 )
      | ~ ( c1_1 @ a216 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ( c0_1 @ a216 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl259]) ).

thf('166',plain,
    ( ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ~ ( c1_1 @ a216 )
    | ( c2_1 @ a216 )
    | ~ ( c0_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl1172]) ).

thf('167',plain,
    ( ! [X9: $i] :
        ( ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl718_085,plain,
    ( ( c0_1 @ a216 )
   <= ( c0_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl250_086,plain,
    ( ! [X9: $i] :
        ( ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1170,plain,
    ( ( ( c3_1 @ a216 )
      | ~ ( c1_1 @ a216 ) )
   <= ( ! [X9: $i] :
          ( ( c3_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
      & ( c0_1 @ a216 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl250]) ).

thf('168',plain,
    ( ( c3_1 @ a216 )
    | ~ ! [X9: $i] :
          ( ( c3_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
    | ~ ( c1_1 @ a216 )
    | ~ ( c0_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl1170]) ).

thf(zip_derived_cl329_087,plain,
    ( ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c3_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c3_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl722,plain,
    ( ~ ( c2_1 @ a216 )
   <= ~ ( c2_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl1290,plain,
    ( ( ~ ( c3_1 @ a216 )
      | ~ ( c1_1 @ a216 ) )
   <= ( ~ ( c2_1 @ a216 )
      & ! [X46: $i] :
          ( ( c2_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c3_1 @ X46 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl722]) ).

thf('169',plain,
    ( ~ ! [X46: $i] :
          ( ( c2_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
    | ~ ( c3_1 @ a216 )
    | ( c2_1 @ a216 )
    | ~ ( c1_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl1290]) ).

thf('170',plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c0_1 @ X42 ) )
    | ! [X46: $i] :
        ( ( c2_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c3_1 @ X46 ) )
    | ~ ndr1_0
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c2_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf('171',plain,
    ( ( c0_1 @ a226 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a226 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('172',plain,
    ( ~ ( c1_1 @ a226 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf('173',plain,
    ( ~ ( c2_1 @ a226 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl670_088,plain,
    ( ( c0_1 @ a226 )
   <= ( c0_1 @ a226 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl321_089,plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c0_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c0_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1385,plain,
    ( ( ( c1_1 @ a226 )
      | ( c2_1 @ a226 ) )
   <= ( ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ~ ( c0_1 @ X42 ) )
      & ( c0_1 @ a226 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl670,zip_derived_cl321]) ).

thf('174',plain,
    ( ~ ( c0_1 @ a226 )
    | ( c1_1 @ a226 )
    | ~ ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ~ ( c0_1 @ X42 ) )
    | ( c2_1 @ a226 ) ),
    inference(split,[status(esa)],[zip_derived_cl1385]) ).

thf(zip_derived_cl45,plain,
    ! [X62: $i,X63: $i] :
      ( ( c0_1 @ X62 )
      | ~ ( c1_1 @ X62 )
      | ~ ( c3_1 @ X62 )
      | ~ ndr1_0
      | ( c1_1 @ X63 )
      | ~ ( c2_1 @ X63 )
      | ~ ( c3_1 @ X63 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('175',plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) )
    | hskp9
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf('176',plain,
    ( ( c3_1 @ a242 )
    | ( c2_1 @ a242 )
    | ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 ) )
    | ~ ( c1_1 @ a242 ) ),
    inference(split,[status(esa)],[zip_derived_cl813]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp15
    | ( c1_1 @ a242 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('177',plain,
    ( ( c1_1 @ a242 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp15
    | ~ ( c0_1 @ a242 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('178',plain,
    ( ~ ( c0_1 @ a242 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf('179',plain,
    ( ~ ( c2_1 @ a242 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf('180',plain,
    ( hskp15
    | hskp24
    | ~ ndr1_0
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl148,plain,
    ( ~ hskp12
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('181',plain,
    ( ndr1_0
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl148]) ).

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

thf('182',plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl196,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('183',plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl196]) ).

thf(zip_derived_cl1,plain,
    ( hskp12
    | hskp1
    | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('184',plain,
    ( hskp1
    | hskp12
    | hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp24
    | ( c1_1 @ a280 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('185',plain,
    ( ~ hskp24
    | ( c1_1 @ a280 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp24
    | ~ ( c2_1 @ a280 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('186',plain,
    ( ~ hskp24
    | ~ ( c2_1 @ a280 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp24
    | ~ ( c3_1 @ a280 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('187',plain,
    ( ~ hskp24
    | ~ ( c3_1 @ a280 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl261_090,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl552,plain,
    ( ~ ( c2_1 @ a280 )
   <= ~ ( c2_1 @ a280 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl817,plain,
    ( ( ~ ( c1_1 @ a280 )
      | ( c3_1 @ a280 ) )
   <= ( ~ ( c2_1 @ a280 )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl552]) ).

thf('188',plain,
    ( ( c2_1 @ a280 )
    | ~ ( c1_1 @ a280 )
    | ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 ) )
    | ( c3_1 @ a280 ) ),
    inference(split,[status(esa)],[zip_derived_cl817]) ).

thf(zip_derived_cl357_091,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl624,plain,
    ( ~ ( c0_1 @ a242 )
   <= ~ ( c0_1 @ a242 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl1415,plain,
    ( ( ~ ( c3_1 @ a242 )
      | ~ ( c1_1 @ a242 ) )
   <= ( ~ ( c0_1 @ a242 )
      & ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl357,zip_derived_cl624]) ).

thf('189',plain,
    ( ~ ( c3_1 @ a242 )
    | ( c0_1 @ a242 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
    | ~ ( c1_1 @ a242 ) ),
    inference(split,[status(esa)],[zip_derived_cl1415]) ).

thf(zip_derived_cl19,plain,
    ! [X16: $i,X17: $i] :
      ( ( c2_1 @ X16 )
      | ( c3_1 @ X16 )
      | ~ ( c1_1 @ X16 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X17 )
      | ~ ( c1_1 @ X17 )
      | ~ ( c3_1 @ X17 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('190',plain,
    ( hskp28
    | ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp28
    | ( c0_1 @ a282 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('191',plain,
    ( ( c0_1 @ a282 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl518,plain,
    ( ( c0_1 @ a282 )
   <= ( c0_1 @ a282 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl229_092,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl907,plain,
    ( ( ~ ( c2_1 @ a282 )
      | ~ ( c3_1 @ a282 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c0_1 @ a282 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl229]) ).

thf('192',plain,
    ( ~ ( c3_1 @ a282 )
    | ~ ( c0_1 @ a282 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c2_1 @ a282 ) ),
    inference(split,[status(esa)],[zip_derived_cl907]) ).

thf(zip_derived_cl518_093,plain,
    ( ( c0_1 @ a282 )
   <= ( c0_1 @ a282 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl250_094,plain,
    ( ! [X9: $i] :
        ( ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl911,plain,
    ( ( ( c3_1 @ a282 )
      | ~ ( c1_1 @ a282 ) )
   <= ( ! [X9: $i] :
          ( ( c3_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
      & ( c0_1 @ a282 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl250]) ).

thf('193',plain,
    ( ( c3_1 @ a282 )
    | ~ ( c0_1 @ a282 )
    | ~ ! [X9: $i] :
          ( ( c3_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
    | ~ ( c1_1 @ a282 ) ),
    inference(split,[status(esa)],[zip_derived_cl911]) ).

thf(zip_derived_cl6775,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN503+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.auCuFgN6Gr true
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 17:25:38 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.63  % Total configuration time : 435
% 0.20/0.63  % Estimated wc time : 1092
% 0.20/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.73/1.45  % Solved by fo/fo1_av.sh.
% 5.73/1.45  % done 1848 iterations in 0.668s
% 5.73/1.45  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.73/1.45  % SZS output start Refutation
% See solution above
% 5.73/1.46  
% 5.73/1.46  
% 5.73/1.46  % Terminating...
% 6.48/1.52  % Runner terminated.
% 6.48/1.54  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------