TSTP Solution File: SYN465+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN465+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.JLK4yaRzbE true

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:03:46 EDT 2023

% Result   : Theorem 5.60s 1.43s
% Output   : Refutation 5.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   70
% Syntax   : Number of formulae    :  747 (   1 unt;  69 typ;   0 def)
%            Number of atoms       : 4461 (   0 equ;   0 cnn)
%            Maximal formula atoms :  668 (   6 avg)
%            Number of connectives : 9675 (2425   ~;2765   |; 510   &;3467   @)
%                                         (   0 <=>; 204  =>; 304  <=;   0 <~>)
%            Maximal formula depth :  103 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   70 (  69 usr;  66 con; 0-1 aty)
%            Number of variables   :  793 (   0   ^; 793   !;   0   ?; 793   :)

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

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

thf(a20_type,type,
    a20: $i ).

thf(a21_type,type,
    a21: $i ).

thf(a42_type,type,
    a42: $i ).

thf(a2_type,type,
    a2: $i ).

thf(a30_type,type,
    a30: $i ).

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

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

thf(a1_type,type,
    a1: $i ).

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

thf(a10_type,type,
    a10: $i ).

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

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

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

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

thf(a4_type,type,
    a4: $i ).

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

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

thf(a7_type,type,
    a7: $i ).

thf(a35_type,type,
    a35: $i ).

thf(a40_type,type,
    a40: $i ).

thf(a8_type,type,
    a8: $i ).

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

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

thf(a17_type,type,
    a17: $i ).

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

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

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

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

thf(a76_type,type,
    a76: $i ).

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

thf(a15_type,type,
    a15: $i ).

thf(a24_type,type,
    a24: $i ).

thf(a33_type,type,
    a33: $i ).

thf(a39_type,type,
    a39: $i ).

thf(a57_type,type,
    a57: $i ).

thf(a32_type,type,
    a32: $i ).

thf(a29_type,type,
    a29: $i ).

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

thf(a36_type,type,
    a36: $i ).

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

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

thf(a12_type,type,
    a12: $i ).

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

thf(a54_type,type,
    a54: $i ).

thf(a5_type,type,
    a5: $i ).

thf(a13_type,type,
    a13: $i ).

thf(a26_type,type,
    a26: $i ).

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

thf(a6_type,type,
    a6: $i ).

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

thf(a28_type,type,
    a28: $i ).

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

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

thf(a9_type,type,
    a9: $i ).

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

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

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

thf(a52_type,type,
    a52: $i ).

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

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

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

thf(a65_type,type,
    a65: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c0_1 @ a1 )
          & ~ ( c1_1 @ a1 )
          & ~ ( c2_1 @ a1 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c0_1 @ a4 )
          & ( c2_1 @ a4 )
          & ~ ( c1_1 @ a4 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c2_1 @ a5 )
          & ~ ( c0_1 @ a5 )
          & ~ ( c1_1 @ a5 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c0_1 @ a6 )
          & ( c3_1 @ a6 )
          & ~ ( c2_1 @ a6 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c1_1 @ a7 )
          & ( c3_1 @ a7 )
          & ~ ( c0_1 @ a7 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ ( c0_1 @ a9 )
          & ~ ( c1_1 @ a9 )
          & ~ ( c2_1 @ a9 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c2_1 @ a10 )
          & ~ ( c1_1 @ a10 )
          & ~ ( c3_1 @ a10 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c0_1 @ a12 )
          & ( c1_1 @ a12 )
          & ~ ( c3_1 @ a12 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c1_1 @ a13 )
          & ( c2_1 @ a13 )
          & ~ ( c0_1 @ a13 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ ( c1_1 @ a15 )
          & ~ ( c2_1 @ a15 )
          & ~ ( c3_1 @ a15 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c1_1 @ a17 )
          & ~ ( c0_1 @ a17 )
          & ~ ( c2_1 @ a17 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c0_1 @ a21 )
          & ~ ( c2_1 @ a21 )
          & ~ ( c3_1 @ a21 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c1_1 @ a24 )
          & ( c3_1 @ a24 )
          & ~ ( c2_1 @ a24 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c3_1 @ a26 )
          & ~ ( c0_1 @ a26 )
          & ~ ( c1_1 @ a26 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c2_1 @ a28 )
          & ( c3_1 @ a28 )
          & ~ ( c0_1 @ a28 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c1_1 @ a29 )
          & ~ ( c2_1 @ a29 )
          & ~ ( c3_1 @ a29 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c2_1 @ a30 )
          & ( c3_1 @ a30 )
          & ~ ( c1_1 @ a30 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c0_1 @ a32 )
          & ( c2_1 @ a32 )
          & ~ ( c3_1 @ a32 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c1_1 @ a33 )
          & ( c2_1 @ a33 )
          & ~ ( c3_1 @ a33 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c1_1 @ a35 )
          & ~ ( c0_1 @ a35 )
          & ~ ( c3_1 @ a35 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c0_1 @ a36 )
          & ( c1_1 @ a36 )
          & ~ ( c2_1 @ a36 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c2_1 @ a39 )
          & ~ ( c0_1 @ a39 )
          & ~ ( c3_1 @ a39 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ ( c0_1 @ a40 )
          & ~ ( c2_1 @ a40 )
          & ~ ( c3_1 @ a40 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c0_1 @ a42 )
          & ~ ( c1_1 @ a42 )
          & ~ ( c3_1 @ a42 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c3_1 @ a52 )
          & ~ ( c0_1 @ a52 )
          & ~ ( c2_1 @ a52 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c0_1 @ a54 )
          & ( c3_1 @ a54 )
          & ~ ( c1_1 @ a54 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ ( c0_1 @ a57 )
          & ~ ( c1_1 @ a57 )
          & ~ ( c3_1 @ a57 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c3_1 @ a65 )
          & ~ ( c1_1 @ a65 )
          & ~ ( c2_1 @ a65 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a2 )
          & ( c1_1 @ a2 )
          & ( c2_1 @ a2 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c1_1 @ a8 )
          & ( c2_1 @ a8 )
          & ( c3_1 @ a8 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a20 )
          & ( c2_1 @ a20 )
          & ( c3_1 @ a20 ) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & ( c0_1 @ a76 )
          & ( c1_1 @ a76 )
          & ( c3_1 @ a76 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ~ ( c2_1 @ V )
              | ~ ( c3_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c2_1 @ W )
              | ~ ( c1_1 @ W )
              | ~ ( c3_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c1_1 @ Y )
              | ~ ( c0_1 @ Y )
              | ~ ( c2_1 @ Y ) ) )
        | hskp0 )
      & ( ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c1_1 @ Z )
              | ( c2_1 @ Z ) ) )
        | hskp28
        | hskp0 )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c3_1 @ X1 ) ) )
        | ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c2_1 @ X2 )
              | ~ ( c3_1 @ X2 ) ) )
        | hskp1 )
      & ( ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c1_1 @ X3 )
              | ( c3_1 @ X3 ) ) )
        | ! [X4: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X4 )
              | ( c3_1 @ X4 )
              | ~ ( c1_1 @ X4 ) ) )
        | hskp2 )
      & ( ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ~ ( c2_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c2_1 @ X6 )
              | ~ ( c1_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c3_1 @ X7 )
              | ~ ( c2_1 @ X7 ) ) ) )
      & ( ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ( c1_1 @ X8 )
              | ~ ( c3_1 @ X8 ) ) )
        | ! [X9: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X9 )
              | ~ ( c0_1 @ X9 )
              | ~ ( c1_1 @ X9 ) ) )
        | hskp3 )
      & ( ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c2_1 @ X10 )
              | ( c3_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c2_1 @ X11 )
              | ~ ( c3_1 @ X11 ) ) )
        | hskp4 )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c2_1 @ X12 )
              | ( c3_1 @ X12 ) ) )
        | hskp29
        | hskp5 )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c2_1 @ X13 )
              | ~ ( c1_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ( c3_1 @ X14 )
              | ~ ( c1_1 @ X14 ) ) )
        | hskp6 )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c2_1 @ X15 )
              | ~ ( c1_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X16 )
              | ~ ( c0_1 @ X16 )
              | ~ ( c1_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X17 )
              | ~ ( c1_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) ) )
      & ( ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ( c2_1 @ X18 )
              | ~ ( c1_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X19 )
              | ~ ( c2_1 @ X19 )
              | ~ ( c3_1 @ X19 ) ) )
        | hskp28 )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c2_1 @ X20 )
              | ~ ( c1_1 @ X20 ) ) )
        | hskp7
        | hskp8 )
      & ( ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c2_1 @ X21 )
              | ~ ( c1_1 @ X21 ) ) )
        | hskp0
        | hskp9 )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c2_1 @ X22 )
              | ~ ( c3_1 @ X22 ) ) )
        | ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ~ ( c1_1 @ X23 )
              | ~ ( c2_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X24 )
              | ~ ( c2_1 @ X24 )
              | ~ ( c3_1 @ X24 ) ) ) )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c2_1 @ X25 )
              | ~ ( c3_1 @ X25 ) ) )
        | ! [X26: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X26 )
              | ( c3_1 @ X26 )
              | ~ ( c0_1 @ X26 ) ) )
        | hskp7 )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c2_1 @ X27 )
              | ~ ( c3_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X28 )
              | ( c3_1 @ X28 )
              | ~ ( c0_1 @ X28 ) ) )
        | hskp10 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ~ ( c3_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X30 )
              | ~ ( c0_1 @ X30 )
              | ~ ( c1_1 @ X30 ) ) )
        | hskp5 )
      & ( ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ( c2_1 @ X31 )
              | ~ ( c3_1 @ X31 ) ) )
        | ! [X32: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X32 )
              | ~ ( c1_1 @ X32 )
              | ~ ( c3_1 @ X32 ) ) )
        | hskp5 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c2_1 @ X33 )
              | ~ ( c3_1 @ X33 ) ) )
        | hskp30
        | hskp11 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c3_1 @ X34 )
              | ~ ( c1_1 @ X34 ) ) )
        | hskp30
        | hskp8 )
      & ( ! [X35: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X35 )
              | ( c3_1 @ X35 )
              | ~ ( c1_1 @ X35 ) ) )
        | hskp12 )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c3_1 @ X36 )
              | ~ ( c2_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X37 )
              | ~ ( c2_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) )
        | hskp8 )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ( c3_1 @ X38 )
              | ~ ( c2_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X39 )
              | ( c3_1 @ X39 )
              | ~ ( c0_1 @ X39 ) ) )
        | ! [X40: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X40 )
              | ~ ( c0_1 @ X40 )
              | ~ ( c1_1 @ X40 ) ) ) )
      & ( ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ( c3_1 @ X41 )
              | ~ ( c2_1 @ X41 ) ) )
        | ! [X42: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X42 )
              | ( c3_1 @ X42 )
              | ~ ( c1_1 @ X42 ) ) )
        | hskp13 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ( c3_1 @ X43 )
              | ~ ( c2_1 @ X43 ) ) )
        | hskp3
        | hskp14 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ( c3_1 @ X44 )
              | ~ ( c2_1 @ X44 ) ) )
        | hskp15
        | hskp16 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ~ ( c1_1 @ X45 )
              | ~ ( c2_1 @ X45 ) ) )
        | ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ~ ( c1_1 @ X46 )
              | ~ ( c3_1 @ X46 ) ) )
        | ! [X47: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X47 )
              | ( c3_1 @ X47 )
              | ~ ( c0_1 @ X47 ) ) ) )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ~ ( c1_1 @ X48 )
              | ~ ( c2_1 @ X48 ) ) )
        | ! [X49: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X49 )
              | ~ ( c0_1 @ X49 )
              | ~ ( c1_1 @ X49 ) ) )
        | hskp30 )
      & ( ! [X50: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X50 )
              | ~ ( c1_1 @ X50 )
              | ~ ( c2_1 @ X50 ) ) )
        | hskp17
        | hskp18 )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X51 )
              | ~ ( c1_1 @ X51 )
              | ~ ( c3_1 @ X51 ) ) )
        | hskp11
        | hskp19 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X52 )
              | ~ ( c2_1 @ X52 )
              | ~ ( c3_1 @ X52 ) ) )
        | hskp20
        | hskp4 )
      & ( ! [X53: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X53 )
              | ( c2_1 @ X53 )
              | ( c3_1 @ X53 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X54 )
              | ~ ( c0_1 @ X54 )
              | ~ ( c2_1 @ X54 ) ) )
        | ! [X55: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X55 )
              | ~ ( c2_1 @ X55 )
              | ~ ( c3_1 @ X55 ) ) ) )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X56 )
              | ( c2_1 @ X56 )
              | ( c3_1 @ X56 ) ) )
        | ! [X57: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X57 )
              | ~ ( c2_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | hskp8 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X58 )
              | ( c2_1 @ X58 )
              | ( c3_1 @ X58 ) ) )
        | ! [X59: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X59 )
              | ~ ( c0_1 @ X59 )
              | ~ ( c1_1 @ X59 ) ) )
        | hskp21 )
      & ( ! [X60: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X60 )
              | ( c2_1 @ X60 )
              | ~ ( c0_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X61 )
              | ~ ( c1_1 @ X61 )
              | ~ ( c3_1 @ X61 ) ) )
        | hskp22 )
      & ( ! [X62: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X62 )
              | ( c2_1 @ X62 )
              | ~ ( c0_1 @ X62 ) ) )
        | hskp30
        | hskp23 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X63 )
              | ( c2_1 @ X63 )
              | ~ ( c3_1 @ X63 ) ) )
        | hskp17
        | hskp6 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X64 )
              | ( c3_1 @ X64 )
              | ~ ( c0_1 @ X64 ) ) )
        | ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ~ ( c0_1 @ X65 )
              | ~ ( c3_1 @ X65 ) ) )
        | hskp2 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ( c3_1 @ X66 )
              | ~ ( c2_1 @ X66 ) ) )
        | ! [X67: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X67 )
              | ( c3_1 @ X67 )
              | ~ ( c1_1 @ X67 ) ) )
        | hskp9 )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ( c3_1 @ X68 )
              | ~ ( c2_1 @ X68 ) ) )
        | ! [X69: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X69 )
              | ~ ( c2_1 @ X69 )
              | ~ ( c3_1 @ X69 ) ) )
        | hskp3 )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X70 )
              | ~ ( c0_1 @ X70 )
              | ~ ( c3_1 @ X70 ) ) )
        | ! [X71: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X71 )
              | ~ ( c1_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | ! [X72: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X72 )
              | ~ ( c2_1 @ X72 )
              | ~ ( c3_1 @ X72 ) ) ) )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ~ ( c0_1 @ X73 )
              | ~ ( c3_1 @ X73 ) ) )
        | hskp8
        | hskp21 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X74 )
              | ~ ( c2_1 @ X74 )
              | ~ ( c3_1 @ X74 ) ) )
        | ! [X75: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X75 )
              | ~ ( c0_1 @ X75 )
              | ~ ( c1_1 @ X75 ) ) )
        | hskp15 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X76 )
              | ( c3_1 @ X76 )
              | ~ ( c0_1 @ X76 ) ) )
        | hskp3
        | hskp24 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X77 )
              | ( c3_1 @ X77 )
              | ~ ( c1_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X78 )
              | ~ ( c2_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | hskp12 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X79 )
              | ( c3_1 @ X79 )
              | ~ ( c1_1 @ X79 ) ) )
        | hskp25
        | hskp3 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X80 )
              | ~ ( c0_1 @ X80 )
              | ~ ( c1_1 @ X80 ) ) )
        | hskp28
        | hskp26 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X81 )
              | ~ ( c0_1 @ X81 )
              | ~ ( c3_1 @ X81 ) ) )
        | ! [X82: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X82 )
              | ~ ( c1_1 @ X82 )
              | ~ ( c2_1 @ X82 ) ) )
        | hskp17 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X83 )
              | ~ ( c1_1 @ X83 )
              | ~ ( c3_1 @ X83 ) ) )
        | hskp28
        | hskp7 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X84 )
              | ~ ( c1_1 @ X84 )
              | ~ ( c3_1 @ X84 ) ) )
        | hskp16 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X85 )
              | ~ ( c1_1 @ X85 )
              | ~ ( c2_1 @ X85 ) ) )
        | hskp28
        | hskp9 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X86 )
              | ~ ( c1_1 @ X86 )
              | ~ ( c2_1 @ X86 ) ) )
        | hskp18
        | hskp27 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X87 )
              | ~ ( c1_1 @ X87 )
              | ~ ( c3_1 @ X87 ) ) )
        | ! [X88: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X88 )
              | ~ ( c2_1 @ X88 )
              | ~ ( c3_1 @ X88 ) ) )
        | hskp21 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X89 )
              | ~ ( c1_1 @ X89 )
              | ~ ( c3_1 @ X89 ) ) )
        | hskp0
        | hskp2 )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X90 )
              | ~ ( c1_1 @ X90 )
              | ~ ( c3_1 @ X90 ) ) )
        | hskp29
        | hskp19 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X91 )
              | ~ ( c1_1 @ X91 )
              | ~ ( c3_1 @ X91 ) ) )
        | hskp12
        | hskp26 )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X92 )
              | ~ ( c1_1 @ X92 )
              | ~ ( c3_1 @ X92 ) ) )
        | hskp14
        | hskp24 )
      & ( ! [X93: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X93 )
              | ~ ( c2_1 @ X93 )
              | ~ ( c3_1 @ X93 ) ) )
        | hskp28
        | hskp31 )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X94 )
              | ~ ( c2_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) )
        | hskp15
        | hskp13 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X95 )
              | ~ ( c2_1 @ X95 )
              | ~ ( c3_1 @ X95 ) ) )
        | hskp25
        | hskp9 )
      & ( ! [X96: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X96 )
              | ~ ( c2_1 @ X96 )
              | ~ ( c3_1 @ X96 ) ) )
        | hskp12
        | hskp2 )
      & ( hskp31
        | hskp12
        | hskp24 )
      & ( hskp7
        | hskp30
        | hskp26 )
      & ( hskp3
        | hskp2
        | hskp13 )
      & ( hskp3
        | hskp27
        | hskp26 )
      & ( hskp12
        | hskp6
        | hskp27 )
      & ( hskp21
        | hskp24
        | hskp5 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c0_1 @ a1 )
        & ~ ( c1_1 @ a1 )
        & ~ ( c2_1 @ a1 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c0_1 @ a4 )
        & ( c2_1 @ a4 )
        & ~ ( c1_1 @ a4 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c2_1 @ a5 )
        & ~ ( c0_1 @ a5 )
        & ~ ( c1_1 @ a5 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c0_1 @ a6 )
        & ( c3_1 @ a6 )
        & ~ ( c2_1 @ a6 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c1_1 @ a7 )
        & ( c3_1 @ a7 )
        & ~ ( c0_1 @ a7 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ ( c0_1 @ a9 )
        & ~ ( c1_1 @ a9 )
        & ~ ( c2_1 @ a9 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c2_1 @ a10 )
        & ~ ( c1_1 @ a10 )
        & ~ ( c3_1 @ a10 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c0_1 @ a12 )
        & ( c1_1 @ a12 )
        & ~ ( c3_1 @ a12 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c1_1 @ a13 )
        & ( c2_1 @ a13 )
        & ~ ( c0_1 @ a13 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ ( c1_1 @ a15 )
        & ~ ( c2_1 @ a15 )
        & ~ ( c3_1 @ a15 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c1_1 @ a17 )
        & ~ ( c0_1 @ a17 )
        & ~ ( c2_1 @ a17 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c0_1 @ a21 )
        & ~ ( c2_1 @ a21 )
        & ~ ( c3_1 @ a21 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c1_1 @ a24 )
        & ( c3_1 @ a24 )
        & ~ ( c2_1 @ a24 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c3_1 @ a26 )
        & ~ ( c0_1 @ a26 )
        & ~ ( c1_1 @ a26 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c2_1 @ a28 )
        & ( c3_1 @ a28 )
        & ~ ( c0_1 @ a28 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c1_1 @ a29 )
        & ~ ( c2_1 @ a29 )
        & ~ ( c3_1 @ a29 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c2_1 @ a30 )
        & ( c3_1 @ a30 )
        & ~ ( c1_1 @ a30 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c0_1 @ a32 )
        & ( c2_1 @ a32 )
        & ~ ( c3_1 @ a32 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c1_1 @ a33 )
        & ( c2_1 @ a33 )
        & ~ ( c3_1 @ a33 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c1_1 @ a35 )
        & ~ ( c0_1 @ a35 )
        & ~ ( c3_1 @ a35 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c0_1 @ a36 )
        & ( c1_1 @ a36 )
        & ~ ( c2_1 @ a36 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c2_1 @ a39 )
        & ~ ( c0_1 @ a39 )
        & ~ ( c3_1 @ a39 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ ( c0_1 @ a40 )
        & ~ ( c2_1 @ a40 )
        & ~ ( c3_1 @ a40 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c0_1 @ a42 )
        & ~ ( c1_1 @ a42 )
        & ~ ( c3_1 @ a42 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c3_1 @ a52 )
        & ~ ( c0_1 @ a52 )
        & ~ ( c2_1 @ a52 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c0_1 @ a54 )
        & ( c3_1 @ a54 )
        & ~ ( c1_1 @ a54 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ ( c0_1 @ a57 )
        & ~ ( c1_1 @ a57 )
        & ~ ( c3_1 @ a57 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c3_1 @ a65 )
        & ~ ( c1_1 @ a65 )
        & ~ ( c2_1 @ a65 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a2 )
        & ( c1_1 @ a2 )
        & ( c2_1 @ a2 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c1_1 @ a8 )
        & ( c2_1 @ a8 )
        & ( c3_1 @ a8 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a20 )
        & ( c2_1 @ a20 )
        & ( c3_1 @ a20 ) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ( c0_1 @ a76 )
        & ( c1_1 @ a76 )
        & ( c3_1 @ a76 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ~ ( c2_1 @ V )
            | ~ ( c3_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c2_1 @ W )
            | ~ ( c1_1 @ W )
            | ~ ( c3_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c1_1 @ Y )
            | ~ ( c0_1 @ Y )
            | ~ ( c2_1 @ Y ) ) )
      | hskp0 )
    & ( ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c1_1 @ Z )
            | ( c2_1 @ Z ) ) )
      | hskp28
      | hskp0 )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c3_1 @ X1 ) ) )
      | ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c2_1 @ X2 )
            | ~ ( c3_1 @ X2 ) ) )
      | hskp1 )
    & ( ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c1_1 @ X3 )
            | ( c3_1 @ X3 ) ) )
      | ! [X4: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X4 )
            | ( c3_1 @ X4 )
            | ~ ( c1_1 @ X4 ) ) )
      | hskp2 )
    & ( ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ~ ( c2_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c2_1 @ X6 )
            | ~ ( c1_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c3_1 @ X7 )
            | ~ ( c2_1 @ X7 ) ) ) )
    & ( ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ( c1_1 @ X8 )
            | ~ ( c3_1 @ X8 ) ) )
      | ! [X9: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X9 )
            | ~ ( c0_1 @ X9 )
            | ~ ( c1_1 @ X9 ) ) )
      | hskp3 )
    & ( ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c2_1 @ X10 )
            | ( c3_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c2_1 @ X11 )
            | ~ ( c3_1 @ X11 ) ) )
      | hskp4 )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c2_1 @ X12 )
            | ( c3_1 @ X12 ) ) )
      | hskp29
      | hskp5 )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c2_1 @ X13 )
            | ~ ( c1_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ( c3_1 @ X14 )
            | ~ ( c1_1 @ X14 ) ) )
      | hskp6 )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c2_1 @ X15 )
            | ~ ( c1_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X16 )
            | ~ ( c0_1 @ X16 )
            | ~ ( c1_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X17 )
            | ~ ( c1_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) ) )
    & ( ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ( c2_1 @ X18 )
            | ~ ( c1_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X19 )
            | ~ ( c2_1 @ X19 )
            | ~ ( c3_1 @ X19 ) ) )
      | hskp28 )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c2_1 @ X20 )
            | ~ ( c1_1 @ X20 ) ) )
      | hskp7
      | hskp8 )
    & ( ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c2_1 @ X21 )
            | ~ ( c1_1 @ X21 ) ) )
      | hskp0
      | hskp9 )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c2_1 @ X22 )
            | ~ ( c3_1 @ X22 ) ) )
      | ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ~ ( c1_1 @ X23 )
            | ~ ( c2_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X24 )
            | ~ ( c2_1 @ X24 )
            | ~ ( c3_1 @ X24 ) ) ) )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c2_1 @ X25 )
            | ~ ( c3_1 @ X25 ) ) )
      | ! [X26: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X26 )
            | ( c3_1 @ X26 )
            | ~ ( c0_1 @ X26 ) ) )
      | hskp7 )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c2_1 @ X27 )
            | ~ ( c3_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X28 )
            | ( c3_1 @ X28 )
            | ~ ( c0_1 @ X28 ) ) )
      | hskp10 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ~ ( c3_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X30 )
            | ~ ( c0_1 @ X30 )
            | ~ ( c1_1 @ X30 ) ) )
      | hskp5 )
    & ( ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ( c2_1 @ X31 )
            | ~ ( c3_1 @ X31 ) ) )
      | ! [X32: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X32 )
            | ~ ( c1_1 @ X32 )
            | ~ ( c3_1 @ X32 ) ) )
      | hskp5 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c2_1 @ X33 )
            | ~ ( c3_1 @ X33 ) ) )
      | hskp30
      | hskp11 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c3_1 @ X34 )
            | ~ ( c1_1 @ X34 ) ) )
      | hskp30
      | hskp8 )
    & ( ! [X35: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X35 )
            | ( c3_1 @ X35 )
            | ~ ( c1_1 @ X35 ) ) )
      | hskp12 )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c3_1 @ X36 )
            | ~ ( c2_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X37 )
            | ~ ( c2_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) )
      | hskp8 )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ( c3_1 @ X38 )
            | ~ ( c2_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X39 )
            | ( c3_1 @ X39 )
            | ~ ( c0_1 @ X39 ) ) )
      | ! [X40: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X40 )
            | ~ ( c0_1 @ X40 )
            | ~ ( c1_1 @ X40 ) ) ) )
    & ( ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ( c3_1 @ X41 )
            | ~ ( c2_1 @ X41 ) ) )
      | ! [X42: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X42 )
            | ( c3_1 @ X42 )
            | ~ ( c1_1 @ X42 ) ) )
      | hskp13 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ( c3_1 @ X43 )
            | ~ ( c2_1 @ X43 ) ) )
      | hskp3
      | hskp14 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ( c3_1 @ X44 )
            | ~ ( c2_1 @ X44 ) ) )
      | hskp15
      | hskp16 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ~ ( c1_1 @ X45 )
            | ~ ( c2_1 @ X45 ) ) )
      | ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ~ ( c1_1 @ X46 )
            | ~ ( c3_1 @ X46 ) ) )
      | ! [X47: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X47 )
            | ( c3_1 @ X47 )
            | ~ ( c0_1 @ X47 ) ) ) )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ~ ( c1_1 @ X48 )
            | ~ ( c2_1 @ X48 ) ) )
      | ! [X49: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X49 )
            | ~ ( c0_1 @ X49 )
            | ~ ( c1_1 @ X49 ) ) )
      | hskp30 )
    & ( ! [X50: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X50 )
            | ~ ( c1_1 @ X50 )
            | ~ ( c2_1 @ X50 ) ) )
      | hskp17
      | hskp18 )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X51 )
            | ~ ( c1_1 @ X51 )
            | ~ ( c3_1 @ X51 ) ) )
      | hskp11
      | hskp19 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X52 )
            | ~ ( c2_1 @ X52 )
            | ~ ( c3_1 @ X52 ) ) )
      | hskp20
      | hskp4 )
    & ( ! [X53: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X53 )
            | ( c2_1 @ X53 )
            | ( c3_1 @ X53 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X54 )
            | ~ ( c0_1 @ X54 )
            | ~ ( c2_1 @ X54 ) ) )
      | ! [X55: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X55 )
            | ~ ( c2_1 @ X55 )
            | ~ ( c3_1 @ X55 ) ) ) )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X56 )
            | ( c2_1 @ X56 )
            | ( c3_1 @ X56 ) ) )
      | ! [X57: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X57 )
            | ~ ( c2_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | hskp8 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X58 )
            | ( c2_1 @ X58 )
            | ( c3_1 @ X58 ) ) )
      | ! [X59: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X59 )
            | ~ ( c0_1 @ X59 )
            | ~ ( c1_1 @ X59 ) ) )
      | hskp21 )
    & ( ! [X60: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X60 )
            | ( c2_1 @ X60 )
            | ~ ( c0_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X61 )
            | ~ ( c1_1 @ X61 )
            | ~ ( c3_1 @ X61 ) ) )
      | hskp22 )
    & ( ! [X62: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X62 )
            | ( c2_1 @ X62 )
            | ~ ( c0_1 @ X62 ) ) )
      | hskp30
      | hskp23 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X63 )
            | ( c2_1 @ X63 )
            | ~ ( c3_1 @ X63 ) ) )
      | hskp17
      | hskp6 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X64 )
            | ( c3_1 @ X64 )
            | ~ ( c0_1 @ X64 ) ) )
      | ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ~ ( c0_1 @ X65 )
            | ~ ( c3_1 @ X65 ) ) )
      | hskp2 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ( c3_1 @ X66 )
            | ~ ( c2_1 @ X66 ) ) )
      | ! [X67: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X67 )
            | ( c3_1 @ X67 )
            | ~ ( c1_1 @ X67 ) ) )
      | hskp9 )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ( c3_1 @ X68 )
            | ~ ( c2_1 @ X68 ) ) )
      | ! [X69: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X69 )
            | ~ ( c2_1 @ X69 )
            | ~ ( c3_1 @ X69 ) ) )
      | hskp3 )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X70 )
            | ~ ( c0_1 @ X70 )
            | ~ ( c3_1 @ X70 ) ) )
      | ! [X71: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X71 )
            | ~ ( c1_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | ! [X72: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X72 )
            | ~ ( c2_1 @ X72 )
            | ~ ( c3_1 @ X72 ) ) ) )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ~ ( c0_1 @ X73 )
            | ~ ( c3_1 @ X73 ) ) )
      | hskp8
      | hskp21 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X74 )
            | ~ ( c2_1 @ X74 )
            | ~ ( c3_1 @ X74 ) ) )
      | ! [X75: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X75 )
            | ~ ( c0_1 @ X75 )
            | ~ ( c1_1 @ X75 ) ) )
      | hskp15 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X76 )
            | ( c3_1 @ X76 )
            | ~ ( c0_1 @ X76 ) ) )
      | hskp3
      | hskp24 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X77 )
            | ( c3_1 @ X77 )
            | ~ ( c1_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X78 )
            | ~ ( c2_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | hskp12 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X79 )
            | ( c3_1 @ X79 )
            | ~ ( c1_1 @ X79 ) ) )
      | hskp25
      | hskp3 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X80 )
            | ~ ( c0_1 @ X80 )
            | ~ ( c1_1 @ X80 ) ) )
      | hskp28
      | hskp26 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X81 )
            | ~ ( c0_1 @ X81 )
            | ~ ( c3_1 @ X81 ) ) )
      | ! [X82: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X82 )
            | ~ ( c1_1 @ X82 )
            | ~ ( c2_1 @ X82 ) ) )
      | hskp17 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X83 )
            | ~ ( c1_1 @ X83 )
            | ~ ( c3_1 @ X83 ) ) )
      | hskp28
      | hskp7 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X84 )
            | ~ ( c1_1 @ X84 )
            | ~ ( c3_1 @ X84 ) ) )
      | hskp16 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X85 )
            | ~ ( c1_1 @ X85 )
            | ~ ( c2_1 @ X85 ) ) )
      | hskp28
      | hskp9 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X86 )
            | ~ ( c1_1 @ X86 )
            | ~ ( c2_1 @ X86 ) ) )
      | hskp18
      | hskp27 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X87 )
            | ~ ( c1_1 @ X87 )
            | ~ ( c3_1 @ X87 ) ) )
      | ! [X88: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X88 )
            | ~ ( c2_1 @ X88 )
            | ~ ( c3_1 @ X88 ) ) )
      | hskp21 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X89 )
            | ~ ( c1_1 @ X89 )
            | ~ ( c3_1 @ X89 ) ) )
      | hskp0
      | hskp2 )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X90 )
            | ~ ( c1_1 @ X90 )
            | ~ ( c3_1 @ X90 ) ) )
      | hskp29
      | hskp19 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X91 )
            | ~ ( c1_1 @ X91 )
            | ~ ( c3_1 @ X91 ) ) )
      | hskp12
      | hskp26 )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X92 )
            | ~ ( c1_1 @ X92 )
            | ~ ( c3_1 @ X92 ) ) )
      | hskp14
      | hskp24 )
    & ( ! [X93: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X93 )
            | ~ ( c2_1 @ X93 )
            | ~ ( c3_1 @ X93 ) ) )
      | hskp28
      | hskp31 )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X94 )
            | ~ ( c2_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) )
      | hskp15
      | hskp13 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X95 )
            | ~ ( c2_1 @ X95 )
            | ~ ( c3_1 @ X95 ) ) )
      | hskp25
      | hskp9 )
    & ( ! [X96: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X96 )
            | ~ ( c2_1 @ X96 )
            | ~ ( c3_1 @ X96 ) ) )
      | hskp12
      | hskp2 )
    & ( hskp31
      | hskp12
      | hskp24 )
    & ( hskp7
      | hskp30
      | hskp26 )
    & ( hskp3
      | hskp2
      | hskp13 )
    & ( hskp3
      | hskp27
      | hskp26 )
    & ( hskp12
      | hskp6
      | hskp27 )
    & ( hskp21
      | hskp24
      | hskp5 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl180,plain,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ~ hskp3
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl180]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp19
    | ( c1_1 @ a35 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ( c1_1 @ a35 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a35 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( ~ ( c0_1 @ a35 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a35 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( ~ ( c3_1 @ a35 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl47,plain,
    ! [X62: $i] :
      ( ( c0_1 @ X62 )
      | ( c3_1 @ X62 )
      | ~ ( c1_1 @ X62 )
      | ~ ndr1_0
      | hskp30
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) )
    | hskp30
    | ~ ndr1_0
    | hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl12,plain,
    ! [X6: $i] :
      ( ~ ( c0_1 @ X6 )
      | ~ ( c1_1 @ X6 )
      | ~ ( c3_1 @ X6 )
      | ~ ndr1_0
      | hskp29
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( hskp19
    | hskp29
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp29
    | ( c1_1 @ a8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( ( c1_1 @ a8 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp29
    | ( c2_1 @ a8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( ( c2_1 @ a8 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp29
    | ( c3_1 @ a8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( ~ hskp29
    | ( c3_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl480,plain,
    ( ( c2_1 @ a8 )
   <= ( c2_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp12
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl214,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1348,plain,
    ( ( ~ ( c1_1 @ a8 )
      | ~ ( c3_1 @ a8 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c2_1 @ a8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl214]) ).

thf('9',plain,
    ( ~ ( c3_1 @ a8 )
    | ~ ( c2_1 @ a8 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl1348]) ).

thf(zip_derived_cl33,plain,
    ! [X37: $i,X38: $i] :
      ( ( c1_1 @ X37 )
      | ( c2_1 @ X37 )
      | ( c3_1 @ X37 )
      | ~ ndr1_0
      | ( c3_1 @ X38 )
      | ~ ( c0_1 @ X38 )
      | ~ ( c1_1 @ X38 )
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl322,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a21 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl624,plain,
    ( ~ ( c2_1 @ a21 )
   <= ~ ( c2_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl1445,plain,
    ( ( ( c3_1 @ a21 )
      | ( c1_1 @ a21 ) )
   <= ( ~ ( c2_1 @ a21 )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ( c3_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl624]) ).

thf('10',plain,
    ( ( c1_1 @ a21 )
    | ( c2_1 @ a21 )
    | ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ( c3_1 @ X37 ) )
    | ( c3_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl1445]) ).

thf(zip_derived_cl29,plain,
    ! [X31: $i,X32: $i] :
      ( ( c1_1 @ X31 )
      | ( c3_1 @ X31 )
      | ~ ( c0_1 @ X31 )
      | ~ ndr1_0
      | ( c1_1 @ X32 )
      | ~ ( c0_1 @ X32 )
      | ~ ( c3_1 @ X32 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl305,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp6
    | ~ ( c1_1 @ a10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl664,plain,
    ( ~ ( c1_1 @ a10 )
   <= ~ ( c1_1 @ a10 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl1204,plain,
    ( ( ~ ( c0_1 @ a10 )
      | ( c3_1 @ a10 ) )
   <= ( ~ ( c1_1 @ a10 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c0_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl305,zip_derived_cl664]) ).

thf('11',plain,
    ( ~ ( c0_1 @ a10 )
    | ( c3_1 @ a10 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
    | ( c1_1 @ a10 ) ),
    inference(split,[status(esa)],[zip_derived_cl1204]) ).

thf(zip_derived_cl62,plain,
    ! [X89: $i,X90: $i,X91: $i] :
      ( ( c0_1 @ X89 )
      | ( c1_1 @ X89 )
      | ~ ( c2_1 @ X89 )
      | ~ ndr1_0
      | ( c0_1 @ X90 )
      | ( c2_1 @ X90 )
      | ~ ( c1_1 @ X90 )
      | ~ ndr1_0
      | ( c0_1 @ X91 )
      | ( c3_1 @ X91 )
      | ~ ( c2_1 @ X91 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('12',plain,
    ( ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ~ ( c2_1 @ X89 ) )
    | ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
    | ~ ndr1_0
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl58,plain,
    ! [X82: $i,X83: $i] :
      ( ( c0_1 @ X82 )
      | ( c2_1 @ X82 )
      | ~ ( c1_1 @ X82 )
      | ~ ndr1_0
      | ( c0_1 @ X83 )
      | ( c3_1 @ X83 )
      | ~ ( c1_1 @ X83 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( hskp6
    | ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
    | ~ ndr1_0
    | ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp12
    | ( c1_1 @ a24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl614,plain,
    ( ( c1_1 @ a24 )
   <= ( c1_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl37,plain,
    ! [X45: $i] :
      ( ( c0_1 @ X45 )
      | ~ ( c1_1 @ X45 )
      | ~ ( c3_1 @ X45 )
      | ~ ndr1_0
      | hskp11
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl337,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1727,plain,
    ( ( ( c0_1 @ a24 )
      | ~ ( c3_1 @ a24 ) )
   <= ( ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
      & ( c1_1 @ a24 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl337]) ).

thf('14',plain,
    ( ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
    | ( c0_1 @ a24 )
    | ~ ( c1_1 @ a24 )
    | ~ ( c3_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl1727]) ).

thf(zip_derived_cl54,plain,
    ! [X75: $i] :
      ( ( c0_1 @ X75 )
      | ( c2_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ~ ndr1_0
      | hskp0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl404,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl618,plain,
    ( ~ ( c2_1 @ a24 )
   <= ~ ( c2_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl2028,plain,
    ( ( ~ ( c1_1 @ a24 )
      | ( c0_1 @ a24 ) )
   <= ( ~ ( c2_1 @ a24 )
      & ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c1_1 @ X75 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl618]) ).

thf('15',plain,
    ( ( c0_1 @ a24 )
    | ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ( c2_1 @ a24 )
    | ~ ( c1_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl2028]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp6
    | ( c2_1 @ a10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl662,plain,
    ( ( c2_1 @ a10 )
   <= ( c2_1 @ a10 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl438,plain,
    ( ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ~ ( c2_1 @ X89 ) )
   <= ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ~ ( c2_1 @ X89 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl1945,plain,
    ( ( ( c0_1 @ a10 )
      | ( c1_1 @ a10 ) )
   <= ( ! [X89: $i] :
          ( ( c0_1 @ X89 )
          | ( c1_1 @ X89 )
          | ~ ( c2_1 @ X89 ) )
      & ( c2_1 @ a10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl662,zip_derived_cl438]) ).

thf('16',plain,
    ( ~ ( c2_1 @ a10 )
    | ~ ! [X89: $i] :
          ( ( c0_1 @ X89 )
          | ( c1_1 @ X89 )
          | ~ ( c2_1 @ X89 ) )
    | ( c1_1 @ a10 )
    | ( c0_1 @ a10 ) ),
    inference(split,[status(esa)],[zip_derived_cl1945]) ).

thf(zip_derived_cl20,plain,
    ! [X16: $i] :
      ( ( c2_1 @ X16 )
      | ~ ( c0_1 @ X16 )
      | ~ ( c1_1 @ X16 )
      | ~ ndr1_0
      | hskp28
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl269,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl618_001,plain,
    ( ~ ( c2_1 @ a24 )
   <= ~ ( c2_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl885,plain,
    ( ( ~ ( c1_1 @ a24 )
      | ~ ( c0_1 @ a24 ) )
   <= ( ~ ( c2_1 @ a24 )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl618]) ).

thf('17',plain,
    ( ~ ( c0_1 @ a24 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
    | ( c2_1 @ a24 )
    | ~ ( c1_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl885]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp17
    | ( c2_1 @ a32 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl576,plain,
    ( ( c2_1 @ a32 )
   <= ( c2_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl27,plain,
    ! [X27: $i,X28: $i] :
      ( ( c1_1 @ X27 )
      | ( c3_1 @ X27 )
      | ~ ( c2_1 @ X27 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X28 )
      | ~ ( c2_1 @ X28 )
      | ~ ( c3_1 @ X28 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl298,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1504,plain,
    ( ( ( c1_1 @ a32 )
      | ( c3_1 @ a32 ) )
   <= ( ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
      & ( c2_1 @ a32 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl298]) ).

thf('18',plain,
    ( ( c1_1 @ a32 )
    | ( c3_1 @ a32 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
    | ~ ( c2_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl1504]) ).

thf(zip_derived_cl576_002,plain,
    ( ( c2_1 @ a32 )
   <= ( c2_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl35,plain,
    ! [X41: $i,X42: $i,X43: $i] :
      ( ( c1_1 @ X41 )
      | ( c2_1 @ X41 )
      | ( c3_1 @ X41 )
      | ~ ndr1_0
      | ( c1_1 @ X42 )
      | ~ ( c0_1 @ X42 )
      | ~ ( c2_1 @ X42 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X43 )
      | ~ ( c2_1 @ X43 )
      | ~ ( c3_1 @ X43 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl330,plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ~ ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ~ ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1579,plain,
    ( ( ( c1_1 @ a32 )
      | ~ ( c0_1 @ a32 ) )
   <= ( ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ~ ( c0_1 @ X42 )
          | ~ ( c2_1 @ X42 ) )
      & ( c2_1 @ a32 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl330]) ).

thf('19',plain,
    ( ( c1_1 @ a32 )
    | ~ ( c0_1 @ a32 )
    | ~ ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ~ ( c0_1 @ X42 )
          | ~ ( c2_1 @ X42 ) )
    | ~ ( c2_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl1579]) ).

thf(zip_derived_cl23,plain,
    ! [X20: $i] :
      ( ( c2_1 @ X20 )
      | ( c3_1 @ X20 )
      | ~ ( c0_1 @ X20 )
      | ~ ndr1_0
      | hskp3
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl281,plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp15
    | ~ ( c2_1 @ a29 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl592,plain,
    ( ~ ( c2_1 @ a29 )
   <= ~ ( c2_1 @ a29 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl997,plain,
    ( ( ~ ( c0_1 @ a29 )
      | ( c3_1 @ a29 ) )
   <= ( ~ ( c2_1 @ a29 )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl592]) ).

thf('20',plain,
    ( ~ ( c0_1 @ a29 )
    | ( c2_1 @ a29 )
    | ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) )
    | ( c3_1 @ a29 ) ),
    inference(split,[status(esa)],[zip_derived_cl997]) ).

thf(zip_derived_cl404_003,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl592_004,plain,
    ( ~ ( c2_1 @ a29 )
   <= ~ ( c2_1 @ a29 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl2029,plain,
    ( ( ~ ( c1_1 @ a29 )
      | ( c0_1 @ a29 ) )
   <= ( ~ ( c2_1 @ a29 )
      & ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c1_1 @ X75 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl592]) ).

thf('21',plain,
    ( ( c2_1 @ a29 )
    | ( c0_1 @ a29 )
    | ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ~ ( c1_1 @ a29 ) ),
    inference(split,[status(esa)],[zip_derived_cl2029]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp8
    | ( c2_1 @ a13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl648,plain,
    ( ( c2_1 @ a13 )
   <= ( c2_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl41,plain,
    ! [X52: $i] :
      ( ( c0_1 @ X52 )
      | ( c3_1 @ X52 )
      | ~ ( c2_1 @ X52 )
      | ~ ndr1_0
      | hskp15
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl353,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1823,plain,
    ( ( ( c0_1 @ a13 )
      | ( c3_1 @ a13 ) )
   <= ( ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c2_1 @ X52 ) )
      & ( c2_1 @ a13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl353]) ).

thf('22',plain,
    ( ( c3_1 @ a13 )
    | ( c0_1 @ a13 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c2_1 @ X52 ) )
    | ~ ( c2_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl1823]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp8
    | ( c1_1 @ a13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl646,plain,
    ( ( c1_1 @ a13 )
   <= ( c1_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl337_005,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1725,plain,
    ( ( ( c0_1 @ a13 )
      | ~ ( c3_1 @ a13 ) )
   <= ( ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
      & ( c1_1 @ a13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl646,zip_derived_cl337]) ).

thf('23',plain,
    ( ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
    | ~ ( c3_1 @ a13 )
    | ( c0_1 @ a13 )
    | ~ ( c1_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl1725]) ).

thf(zip_derived_cl15,plain,
    ! [X10: $i] :
      ( ~ ( c0_1 @ X10 )
      | ~ ( c1_1 @ X10 )
      | ~ ( c2_1 @ X10 )
      | ~ ndr1_0
      | hskp18
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('24',plain,
    ( hskp18
    | hskp27
    | ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp28
    | ( c2_1 @ a2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl490,plain,
    ( ( c2_1 @ a2 )
   <= ( c2_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl214_006,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_cl6]) ).

thf(zip_derived_cl1373,plain,
    ( ( ~ ( c1_1 @ a2 )
      | ~ ( c3_1 @ a2 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c2_1 @ a2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl214]) ).

thf('25',plain,
    ( ~ ( c3_1 @ a2 )
    | ~ ( c1_1 @ a2 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl1373]) ).

thf(zip_derived_cl614_007,plain,
    ( ( c1_1 @ a24 )
   <= ( c1_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl10,plain,
    ! [X4: $i] :
      ( ~ ( c0_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c3_1 @ X4 )
      | ~ ndr1_0
      | hskp14
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl230,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1539,plain,
    ( ( ~ ( c0_1 @ a24 )
      | ~ ( c3_1 @ a24 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c1_1 @ a24 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl230]) ).

thf('26',plain,
    ( ~ ( c0_1 @ a24 )
    | ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c1_1 @ a24 )
    | ~ ( c3_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl1539]) ).

thf(zip_derived_cl30,plain,
    ! [X33: $i] :
      ( ( c1_1 @ X33 )
      | ( c2_1 @ X33 )
      | ~ ( c3_1 @ X33 )
      | ~ ndr1_0
      | hskp17
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl309,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl624_008,plain,
    ( ~ ( c2_1 @ a21 )
   <= ~ ( c2_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl1272,plain,
    ( ( ~ ( c3_1 @ a21 )
      | ( c1_1 @ a21 ) )
   <= ( ~ ( c2_1 @ a21 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl624]) ).

thf(zip_derived_cl4589,plain,
    ( ( c1_1 @ a21 )
   <= ( c1_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl1272]) ).

thf(zip_derived_cl321,plain,
    ( ! [X38: $i] :
        ( ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl4612,plain,
    ( ( ( c3_1 @ a21 )
      | ~ ( c0_1 @ a21 ) )
   <= ( ! [X38: $i] :
          ( ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
      & ( c1_1 @ a21 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4589,zip_derived_cl321]) ).

thf('27',plain,
    ( ~ ( c1_1 @ a21 )
    | ( c3_1 @ a21 )
    | ~ ! [X38: $i] :
          ( ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
    | ~ ( c0_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl4612]) ).

thf(zip_derived_cl44,plain,
    ! [X56: $i,X57: $i,X58: $i] :
      ( ( c0_1 @ X56 )
      | ( c3_1 @ X56 )
      | ~ ( c2_1 @ X56 )
      | ~ ndr1_0
      | ( c2_1 @ X57 )
      | ( c3_1 @ X57 )
      | ~ ( c0_1 @ X57 )
      | ~ ndr1_0
      | ( c3_1 @ X58 )
      | ~ ( c0_1 @ X58 )
      | ~ ( c1_1 @ X58 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) )
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
    | ~ ndr1_0
    | ! [X38: $i] :
        ( ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl281_009,plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl624_010,plain,
    ( ~ ( c2_1 @ a21 )
   <= ~ ( c2_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl995,plain,
    ( ( ~ ( c0_1 @ a21 )
      | ( c3_1 @ a21 ) )
   <= ( ~ ( c2_1 @ a21 )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl624]) ).

thf('29',plain,
    ( ( c2_1 @ a21 )
    | ( c3_1 @ a21 )
    | ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) )
    | ~ ( c0_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl995]) ).

thf(zip_derived_cl96,plain,
    ( ~ hskp24
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('30',plain,
    ( ~ hskp24
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl22,plain,
    ! [X18: $i,X19: $i] :
      ( ( c2_1 @ X18 )
      | ( c3_1 @ X18 )
      | ~ ( c1_1 @ X18 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X19 )
      | ~ ( c2_1 @ X19 )
      | ~ ( c3_1 @ X19 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('31',plain,
    ( hskp12
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf('32',plain,
    ( hskp16
    | hskp15
    | ~ ndr1_0
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl52,plain,
    ! [X70: $i,X71: $i] :
      ( ( c0_1 @ X70 )
      | ( c2_1 @ X70 )
      | ~ ( c3_1 @ X70 )
      | ~ ndr1_0
      | ( c1_1 @ X71 )
      | ( c3_1 @ X71 )
      | ~ ( c0_1 @ X71 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('33',plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
    | hskp7
    | ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ~ ( c3_1 @ X63 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl45,plain,
    ! [X59: $i,X60: $i] :
      ( ( c0_1 @ X59 )
      | ( c3_1 @ X59 )
      | ~ ( c2_1 @ X59 )
      | ~ ndr1_0
      | ( c1_1 @ X60 )
      | ~ ( c2_1 @ X60 )
      | ~ ( c3_1 @ X60 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
    | hskp8
    | ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp21
    | ( c2_1 @ a39 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl542,plain,
    ( ( c2_1 @ a39 )
   <= ( c2_1 @ a39 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl353_011,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1828,plain,
    ( ( ( c0_1 @ a39 )
      | ( c3_1 @ a39 ) )
   <= ( ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c2_1 @ X52 ) )
      & ( c2_1 @ a39 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl353]) ).

thf('35',plain,
    ( ~ ( c2_1 @ a39 )
    | ( c0_1 @ a39 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c2_1 @ X52 ) )
    | ( c3_1 @ a39 ) ),
    inference(split,[status(esa)],[zip_derived_cl1828]) ).

thf(zip_derived_cl646_012,plain,
    ( ( c1_1 @ a13 )
   <= ( c1_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl46,plain,
    ! [X61: $i] :
      ( ( c0_1 @ X61 )
      | ( c3_1 @ X61 )
      | ~ ( c1_1 @ X61 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl373,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl1874,plain,
    ( ( ( c0_1 @ a13 )
      | ( c3_1 @ a13 ) )
   <= ( ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c1_1 @ X61 ) )
      & ( c1_1 @ a13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl646,zip_derived_cl373]) ).

thf('36',plain,
    ( ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c1_1 @ X61 ) )
    | ( c3_1 @ a13 )
    | ~ ( c1_1 @ a13 )
    | ( c0_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl1874]) ).

thf(zip_derived_cl648_013,plain,
    ( ( c2_1 @ a13 )
   <= ( c2_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl214_014,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_cl6]) ).

thf(zip_derived_cl1605,plain,
    ( ( ~ ( c1_1 @ a13 )
      | ~ ( c3_1 @ a13 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c2_1 @ a13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl214]) ).

thf('37',plain,
    ( ~ ( c3_1 @ a13 )
    | ~ ( c2_1 @ a13 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl1605]) ).

thf('38',plain,
    ( hskp12
    | ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl576_015,plain,
    ( ( c2_1 @ a32 )
   <= ( c2_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl24,plain,
    ! [X21: $i,X22: $i] :
      ( ( c1_1 @ X21 )
      | ~ ( c2_1 @ X21 )
      | ~ ( c3_1 @ X21 )
      | ~ ndr1_0
      | ( c2_1 @ X22 )
      | ~ ( c0_1 @ X22 )
      | ~ ( c1_1 @ X22 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl286,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1503,plain,
    ( ( ( c1_1 @ a32 )
      | ~ ( c3_1 @ a32 ) )
   <= ( ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ( c2_1 @ a32 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl286]) ).

thf(zip_derived_cl5288,plain,
    ( ( c1_1 @ a32 )
   <= ( c1_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl1503]) ).

thf(zip_derived_cl321_016,plain,
    ( ! [X38: $i] :
        ( ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl5311,plain,
    ( ( ( c3_1 @ a32 )
      | ~ ( c0_1 @ a32 ) )
   <= ( ! [X38: $i] :
          ( ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
      & ( c1_1 @ a32 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5288,zip_derived_cl321]) ).

thf('39',plain,
    ( ~ ( c1_1 @ a32 )
    | ( c3_1 @ a32 )
    | ~ ! [X38: $i] :
          ( ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
    | ~ ( c0_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl5311]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp28
    | ( c1_1 @ a2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl488,plain,
    ( ( c1_1 @ a2 )
   <= ( c1_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl321_017,plain,
    ( ! [X38: $i] :
        ( ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1401,plain,
    ( ( ( c3_1 @ a2 )
      | ~ ( c0_1 @ a2 ) )
   <= ( ! [X38: $i] :
          ( ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
      & ( c1_1 @ a2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl321]) ).

thf('40',plain,
    ( ( c3_1 @ a2 )
    | ~ ( c1_1 @ a2 )
    | ~ ! [X38: $i] :
          ( ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
    | ~ ( c0_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl1401]) ).

thf(zip_derived_cl490_018,plain,
    ( ( c2_1 @ a2 )
   <= ( c2_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0
      | hskp15
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl222,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1374,plain,
    ( ( ~ ( c0_1 @ a2 )
      | ~ ( c3_1 @ a2 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c2_1 @ a2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl222]) ).

thf('41',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c3_1 @ a2 )
    | ~ ( c2_1 @ a2 )
    | ~ ( c0_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl1374]) ).

thf(zip_derived_cl16,plain,
    ! [X11: $i] :
      ( ~ ( c0_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ( c2_1 @ X11 )
      | ~ ndr1_0
      | hskp28
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('42',plain,
    ( hskp28
    | ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
    | hskp9
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl61,plain,
    ! [X87: $i,X88: $i] :
      ( ( c0_1 @ X87 )
      | ( c1_1 @ X87 )
      | ~ ( c3_1 @ X87 )
      | ~ ndr1_0
      | ( c2_1 @ X88 )
      | ~ ( c0_1 @ X88 )
      | ~ ( c1_1 @ X88 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl433,plain,
    ( ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c3_1 @ X87 ) )
   <= ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c3_1 @ X87 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp2
    | ~ ( c1_1 @ a5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl698,plain,
    ( ~ ( c1_1 @ a5 )
   <= ~ ( c1_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl2064,plain,
    ( ( ~ ( c3_1 @ a5 )
      | ( c0_1 @ a5 ) )
   <= ( ~ ( c1_1 @ a5 )
      & ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c3_1 @ X87 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl698]) ).

thf('43',plain,
    ( ~ ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c3_1 @ X87 ) )
    | ~ ( c3_1 @ a5 )
    | ( c0_1 @ a5 )
    | ( c1_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl2064]) ).

thf(zip_derived_cl55,plain,
    ! [X76: $i] :
      ( ( c0_1 @ X76 )
      | ( c2_1 @ X76 )
      | ~ ( c1_1 @ X76 )
      | ~ ndr1_0
      | hskp7
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('44',plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
    | hskp7
    | ~ ndr1_0
    | hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp28
    | ( c0_1 @ a2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('45',plain,
    ( ( c0_1 @ a2 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('46',plain,
    ( ( c1_1 @ a2 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf('47',plain,
    ( ( c2_1 @ a2 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl490_019,plain,
    ( ( c2_1 @ a2 )
   <= ( c2_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl250,plain,
    ( ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1375,plain,
    ( ( ~ ( c0_1 @ a2 )
      | ~ ( c1_1 @ a2 ) )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ( c2_1 @ a2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl250]) ).

thf('48',plain,
    ( ~ ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ~ ( c1_1 @ a2 )
    | ~ ( c2_1 @ a2 )
    | ~ ( c0_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl1375]) ).

thf(zip_derived_cl25,plain,
    ! [X23: $i] :
      ( ( c1_1 @ X23 )
      | ~ ( c0_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ~ ndr1_0
      | hskp8
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( hskp21
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | hskp8
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl17,plain,
    ! [X12: $i] :
      ( ( c2_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ( c3_1 @ X12 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl258,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp20
    | ~ ( c2_1 @ a36 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl554,plain,
    ( ~ ( c2_1 @ a36 )
   <= ~ ( c2_1 @ a36 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl768,plain,
    ( ( ~ ( c3_1 @ a36 )
      | ~ ( c1_1 @ a36 ) )
   <= ( ~ ( c2_1 @ a36 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl554]) ).

thf('50',plain,
    ( ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c3_1 @ a36 )
    | ( c2_1 @ a36 )
    | ~ ( c1_1 @ a36 ) ),
    inference(split,[status(esa)],[zip_derived_cl768]) ).

thf(zip_derived_cl542_020,plain,
    ( ( c2_1 @ a39 )
   <= ( c2_1 @ a39 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl19,plain,
    ! [X14: $i,X15: $i] :
      ( ( c2_1 @ X14 )
      | ~ ( c0_1 @ X14 )
      | ~ ( c3_1 @ X14 )
      | ~ ndr1_0
      | ( c3_1 @ X15 )
      | ~ ( c1_1 @ X15 )
      | ~ ( c2_1 @ X15 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl265,plain,
    ( ! [X15: $i] :
        ( ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1421,plain,
    ( ( ( c3_1 @ a39 )
      | ~ ( c1_1 @ a39 ) )
   <= ( ! [X15: $i] :
          ( ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 ) )
      & ( c2_1 @ a39 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl265]) ).

thf('51',plain,
    ( ~ ! [X15: $i] :
          ( ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 ) )
    | ~ ( c1_1 @ a39 )
    | ( c3_1 @ a39 )
    | ~ ( c2_1 @ a39 ) ),
    inference(split,[status(esa)],[zip_derived_cl1421]) ).

thf(zip_derived_cl21,plain,
    ! [X17: $i] :
      ( ( c2_1 @ X17 )
      | ( c3_1 @ X17 )
      | ~ ( c1_1 @ X17 )
      | ~ ndr1_0
      | hskp25
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl273,plain,
    ( ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp22
    | ~ ( c2_1 @ a40 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl536,plain,
    ( ~ ( c2_1 @ a40 )
   <= ~ ( c2_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl930,plain,
    ( ( ~ ( c1_1 @ a40 )
      | ( c3_1 @ a40 ) )
   <= ( ~ ( c2_1 @ a40 )
      & ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl536]) ).

thf('52',plain,
    ( ( c2_1 @ a40 )
    | ( c3_1 @ a40 )
    | ~ ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) )
    | ~ ( c1_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl930]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp20
    | ( c1_1 @ a36 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl552,plain,
    ( ( c1_1 @ a36 )
   <= ( c1_1 @ a36 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl321_021,plain,
    ( ! [X38: $i] :
        ( ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1470,plain,
    ( ( ( c3_1 @ a36 )
      | ~ ( c0_1 @ a36 ) )
   <= ( ! [X38: $i] :
          ( ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
      & ( c1_1 @ a36 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl552,zip_derived_cl321]) ).

thf('53',plain,
    ( ( c3_1 @ a36 )
    | ~ ( c1_1 @ a36 )
    | ~ ! [X38: $i] :
          ( ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
    | ~ ( c0_1 @ a36 ) ),
    inference(split,[status(esa)],[zip_derived_cl1470]) ).

thf(zip_derived_cl36,plain,
    ! [X44: $i] :
      ( ( c0_1 @ X44 )
      | ~ ( c2_1 @ X44 )
      | ~ ( c3_1 @ X44 )
      | ~ ndr1_0
      | hskp20
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( hskp4
    | hskp20
    | ~ ndr1_0
    | ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl433_022,plain,
    ( ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c3_1 @ X87 ) )
   <= ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c3_1 @ X87 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp14
    | ( c2_1 @ a28 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl598,plain,
    ( ( c2_1 @ a28 )
   <= ( c2_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl214_023,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_cl6]) ).

thf(zip_derived_cl1517,plain,
    ( ( ~ ( c1_1 @ a28 )
      | ~ ( c3_1 @ a28 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c2_1 @ a28 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl214]) ).

thf(zip_derived_cl1683,plain,
    ( ~ ( c1_1 @ a28 )
   <= ~ ( c1_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl1517]) ).

thf(zip_derived_cl2074,plain,
    ( ( ~ ( c3_1 @ a28 )
      | ( c0_1 @ a28 ) )
   <= ( ~ ( c1_1 @ a28 )
      & ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c3_1 @ X87 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl1683]) ).

thf('55',plain,
    ( ~ ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c3_1 @ X87 ) )
    | ( c1_1 @ a28 )
    | ( c0_1 @ a28 )
    | ~ ( c3_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl2074]) ).

thf(zip_derived_cl598_024,plain,
    ( ( c2_1 @ a28 )
   <= ( c2_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl286_025,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1521,plain,
    ( ( ( c1_1 @ a28 )
      | ~ ( c3_1 @ a28 ) )
   <= ( ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ( c2_1 @ a28 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl286]) ).

thf(zip_derived_cl5362,plain,
    ( ( c1_1 @ a28 )
   <= ( c1_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl1521]) ).

thf(zip_derived_cl337_026,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl5386,plain,
    ( ( ( c0_1 @ a28 )
      | ~ ( c3_1 @ a28 ) )
   <= ( ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
      & ( c1_1 @ a28 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5362,zip_derived_cl337]) ).

thf('56',plain,
    ( ~ ( c1_1 @ a28 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
    | ( c0_1 @ a28 )
    | ~ ( c3_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl5386]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp20
    | ( c0_1 @ a36 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( ( c0_1 @ a36 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf('58',plain,
    ( ( c1_1 @ a36 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf('59',plain,
    ( ~ hskp20
    | ~ ( c2_1 @ a36 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl269_027,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl554_028,plain,
    ( ~ ( c2_1 @ a36 )
   <= ~ ( c2_1 @ a36 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl887,plain,
    ( ( ~ ( c1_1 @ a36 )
      | ~ ( c0_1 @ a36 ) )
   <= ( ~ ( c2_1 @ a36 )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl554]) ).

thf('60',plain,
    ( ( c2_1 @ a36 )
    | ~ ( c1_1 @ a36 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
    | ~ ( c0_1 @ a36 ) ),
    inference(split,[status(esa)],[zip_derived_cl887]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp4
    | ( c1_1 @ a7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('61',plain,
    ( ( c1_1 @ a7 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp4
    | ( c3_1 @ a7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( ( c3_1 @ a7 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp4
    | ~ ( c0_1 @ a7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( ~ ( c0_1 @ a7 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl678,plain,
    ( ( c1_1 @ a7 )
   <= ( c1_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl337_029,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1723,plain,
    ( ( ( c0_1 @ a7 )
      | ~ ( c3_1 @ a7 ) )
   <= ( ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
      & ( c1_1 @ a7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl337]) ).

thf('64',plain,
    ( ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
    | ~ ( c1_1 @ a7 )
    | ( c0_1 @ a7 )
    | ~ ( c3_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl1723]) ).

thf(zip_derived_cl40,plain,
    ! [X49: $i,X50: $i,X51: $i] :
      ( ( c0_1 @ X49 )
      | ~ ( c1_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ndr1_0
      | ( c0_1 @ X50 )
      | ~ ( c1_1 @ X50 )
      | ~ ( c3_1 @ X50 )
      | ~ ndr1_0
      | ( c1_1 @ X51 )
      | ( c3_1 @ X51 )
      | ~ ( c0_1 @ X51 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('65',plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
    | ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
    | ~ ndr1_0
    | ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl322_030,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl536_031,plain,
    ( ~ ( c2_1 @ a40 )
   <= ~ ( c2_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl1449,plain,
    ( ( ( c3_1 @ a40 )
      | ( c1_1 @ a40 ) )
   <= ( ~ ( c2_1 @ a40 )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ( c3_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl536]) ).

thf('66',plain,
    ( ( c2_1 @ a40 )
    | ( c3_1 @ a40 )
    | ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ( c3_1 @ X37 ) )
    | ( c1_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl1449]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a40 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('67',plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf('68',plain,
    ( ~ hskp22
    | ~ ( c2_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a40 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('69',plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl404_032,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl536_033,plain,
    ( ~ ( c2_1 @ a40 )
   <= ~ ( c2_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl2031,plain,
    ( ( ~ ( c1_1 @ a40 )
      | ( c0_1 @ a40 ) )
   <= ( ~ ( c2_1 @ a40 )
      & ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c1_1 @ X75 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl536]) ).

thf('70',plain,
    ( ( c2_1 @ a40 )
    | ~ ( c1_1 @ a40 )
    | ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ( c0_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl2031]) ).

thf(zip_derived_cl32,plain,
    ! [X35: $i,X36: $i] :
      ( ( c1_1 @ X35 )
      | ( c2_1 @ X35 )
      | ~ ( c0_1 @ X35 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X36 )
      | ~ ( c1_1 @ X36 )
      | ~ ( c3_1 @ X36 )
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('71',plain,
    ( hskp22
    | ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl309_034,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp3
    | ~ ( c2_1 @ a6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl690,plain,
    ( ~ ( c2_1 @ a6 )
   <= ~ ( c2_1 @ a6 ) ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl1268,plain,
    ( ( ~ ( c3_1 @ a6 )
      | ( c1_1 @ a6 ) )
   <= ( ~ ( c2_1 @ a6 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl690]) ).

thf(zip_derived_cl4494,plain,
    ( ( c1_1 @ a6 )
   <= ( c1_1 @ a6 ) ),
    inference(split,[status(esa)],[zip_derived_cl1268]) ).

thf(zip_derived_cl230_035,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl4516,plain,
    ( ( ~ ( c0_1 @ a6 )
      | ~ ( c3_1 @ a6 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c1_1 @ a6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4494,zip_derived_cl230]) ).

thf('72',plain,
    ( ~ ( c1_1 @ a6 )
    | ~ ( c3_1 @ a6 )
    | ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c0_1 @ a6 ) ),
    inference(split,[status(esa)],[zip_derived_cl4516]) ).

thf(zip_derived_cl57,plain,
    ! [X79: $i,X80: $i,X81: $i] :
      ( ( c0_1 @ X79 )
      | ( c2_1 @ X79 )
      | ~ ( c1_1 @ X79 )
      | ~ ndr1_0
      | ( c3_1 @ X80 )
      | ~ ( c0_1 @ X80 )
      | ~ ( c1_1 @ X80 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X81 )
      | ~ ( c1_1 @ X81 )
      | ~ ( c3_1 @ X81 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('73',plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
    | ! [X38: $i] :
        ( ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl598_036,plain,
    ( ( c2_1 @ a28 )
   <= ( c2_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl38,plain,
    ! [X46: $i] :
      ( ( c0_1 @ X46 )
      | ~ ( c1_1 @ X46 )
      | ~ ( c2_1 @ X46 )
      | ~ ndr1_0
      | hskp17
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl341,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1759,plain,
    ( ( ( c0_1 @ a28 )
      | ~ ( c1_1 @ a28 ) )
   <= ( ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
      & ( c2_1 @ a28 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl341]) ).

thf('74',plain,
    ( ~ ( c1_1 @ a28 )
    | ( c0_1 @ a28 )
    | ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
    | ~ ( c2_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl1759]) ).

thf(zip_derived_cl433_037,plain,
    ( ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c3_1 @ X87 ) )
   <= ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c3_1 @ X87 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a30 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl586,plain,
    ( ~ ( c1_1 @ a30 )
   <= ~ ( c1_1 @ a30 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl2076,plain,
    ( ( ~ ( c3_1 @ a30 )
      | ( c0_1 @ a30 ) )
   <= ( ~ ( c1_1 @ a30 )
      & ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c3_1 @ X87 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl586]) ).

thf('75',plain,
    ( ~ ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c3_1 @ X87 ) )
    | ( c0_1 @ a30 )
    | ( c1_1 @ a30 )
    | ~ ( c3_1 @ a30 ) ),
    inference(split,[status(esa)],[zip_derived_cl2076]) ).

thf(zip_derived_cl289,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl586_038,plain,
    ( ~ ( c1_1 @ a30 )
   <= ~ ( c1_1 @ a30 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl1076,plain,
    ( ( ~ ( c3_1 @ a30 )
      | ~ ( c0_1 @ a30 ) )
   <= ( ~ ( c1_1 @ a30 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl586]) ).

thf('76',plain,
    ( ~ ( c0_1 @ a30 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ( c1_1 @ a30 )
    | ~ ( c3_1 @ a30 ) ),
    inference(split,[status(esa)],[zip_derived_cl1076]) ).

thf(zip_derived_cl28,plain,
    ! [X29: $i,X30: $i] :
      ( ( c1_1 @ X29 )
      | ( c3_1 @ X29 )
      | ~ ( c2_1 @ X29 )
      | ~ ndr1_0
      | ( c2_1 @ X30 )
      | ( c3_1 @ X30 )
      | ~ ( c1_1 @ X30 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
    | ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
    | hskp9
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl542_039,plain,
    ( ( c2_1 @ a39 )
   <= ( c2_1 @ a39 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl250_040,plain,
    ( ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1420,plain,
    ( ( ~ ( c0_1 @ a39 )
      | ~ ( c1_1 @ a39 ) )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ( c2_1 @ a39 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl250]) ).

thf('78',plain,
    ( ~ ( c0_1 @ a39 )
    | ~ ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ~ ( c2_1 @ a39 )
    | ~ ( c1_1 @ a39 ) ),
    inference(split,[status(esa)],[zip_derived_cl1420]) ).

thf(zip_derived_cl0,plain,
    ( hskp21
    | hskp24
    | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( hskp21
    | hskp5
    | hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp5
    | ~ ( c0_1 @ a9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( ~ ( c0_1 @ a9 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl48,plain,
    ! [X63: $i] :
      ( ( c0_1 @ X63 )
      | ( c2_1 @ X63 )
      | ~ ( c3_1 @ X63 )
      | ~ ndr1_0
      | hskp30
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl380,plain,
    ( ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ~ ( c3_1 @ X63 ) )
   <= ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ~ ( c3_1 @ X63 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp5
    | ~ ( c2_1 @ a9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl674,plain,
    ( ~ ( c2_1 @ a9 )
   <= ~ ( c2_1 @ a9 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl1974,plain,
    ( ( ~ ( c3_1 @ a9 )
      | ( c0_1 @ a9 ) )
   <= ( ~ ( c2_1 @ a9 )
      & ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ( c2_1 @ X63 )
          | ~ ( c3_1 @ X63 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl674]) ).

thf('81',plain,
    ( ~ ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ( c2_1 @ X63 )
          | ~ ( c3_1 @ X63 ) )
    | ~ ( c3_1 @ a9 )
    | ( c0_1 @ a9 )
    | ( c2_1 @ a9 ) ),
    inference(split,[status(esa)],[zip_derived_cl1974]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp5
    | ~ ( c1_1 @ a9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('82',plain,
    ( ~ ( c1_1 @ a9 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf('83',plain,
    ( ~ ( c2_1 @ a9 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl322_041,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl674_042,plain,
    ( ~ ( c2_1 @ a9 )
   <= ~ ( c2_1 @ a9 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl1442,plain,
    ( ( ( c3_1 @ a9 )
      | ( c1_1 @ a9 ) )
   <= ( ~ ( c2_1 @ a9 )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ( c3_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl674]) ).

thf('84',plain,
    ( ( c3_1 @ a9 )
    | ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ( c3_1 @ X37 ) )
    | ( c2_1 @ a9 )
    | ( c1_1 @ a9 ) ),
    inference(split,[status(esa)],[zip_derived_cl1442]) ).

thf('85',plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
    | hskp15
    | ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp16
    | ( c2_1 @ a30 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl582,plain,
    ( ( c2_1 @ a30 )
   <= ( c2_1 @ a30 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl286_043,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1509,plain,
    ( ( ( c1_1 @ a30 )
      | ~ ( c3_1 @ a30 ) )
   <= ( ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ( c2_1 @ a30 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl286]) ).

thf('86',plain,
    ( ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ( c2_1 @ a30 )
    | ( c1_1 @ a30 )
    | ~ ( c3_1 @ a30 ) ),
    inference(split,[status(esa)],[zip_derived_cl1509]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp7
    | ~ ( c3_1 @ a12 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('87',plain,
    ( ~ ( c3_1 @ a12 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf('88',plain,
    ( ( c2_1 @ a30 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp16
    | ( c3_1 @ a30 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('89',plain,
    ( ( c3_1 @ a30 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf('90',plain,
    ( ~ ( c1_1 @ a30 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf('91',plain,
    ( hskp16
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl269_044,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl690_045,plain,
    ( ~ ( c2_1 @ a6 )
   <= ~ ( c2_1 @ a6 ) ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl880,plain,
    ( ( ~ ( c1_1 @ a6 )
      | ~ ( c0_1 @ a6 ) )
   <= ( ~ ( c2_1 @ a6 )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl690]) ).

thf('92',plain,
    ( ~ ( c1_1 @ a6 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
    | ( c2_1 @ a6 )
    | ~ ( c0_1 @ a6 ) ),
    inference(split,[status(esa)],[zip_derived_cl880]) ).

thf(zip_derived_cl31,plain,
    ! [X34: $i] :
      ( ( c1_1 @ X34 )
      | ( c2_1 @ X34 )
      | ~ ( c0_1 @ X34 )
      | ~ ndr1_0
      | hskp30
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl313,plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl690_046,plain,
    ( ~ ( c2_1 @ a6 )
   <= ~ ( c2_1 @ a6 ) ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl1318,plain,
    ( ( ~ ( c0_1 @ a6 )
      | ( c1_1 @ a6 ) )
   <= ( ~ ( c2_1 @ a6 )
      & ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl690]) ).

thf('93',plain,
    ( ~ ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
    | ( c1_1 @ a6 )
    | ( c2_1 @ a6 )
    | ~ ( c0_1 @ a6 ) ),
    inference(split,[status(esa)],[zip_derived_cl1318]) ).

thf('94',plain,
    ( hskp17
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | ~ ndr1_0
    | ! [X15: $i] :
        ( ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl184,plain,
    ( ~ hskp2
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('95',plain,
    ( ~ hskp2
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl184]) ).

thf(zip_derived_cl305_047,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl321_048,plain,
    ( ! [X38: $i] :
        ( ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1400,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
      & ! [X38: $i] :
          ( ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 )
          | ~ ( c1_1 @ X38 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl305,zip_derived_cl321]) ).

thf(zip_derived_cl1405,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
      & ! [X38: $i] :
          ( ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 )
          | ~ ( c1_1 @ X38 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1400]) ).

thf(zip_derived_cl258_049,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl214_050,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl760,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 ) )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl214]) ).

thf(zip_derived_cl781,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl760]) ).

thf(zip_derived_cl70,plain,
    ( ~ hskp31
    | ( c1_1 @ a76 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl464,plain,
    ( ( c1_1 @ a76 )
   <= ( c1_1 @ a76 ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl1910,plain,
    ( ~ ( c3_1 @ a76 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ( c1_1 @ a76 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl781,zip_derived_cl464]) ).

thf(zip_derived_cl2882,plain,
    ( ~ ( c0_1 @ a76 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
      & ! [X38: $i] :
          ( ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
      & ( c1_1 @ a76 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1405,zip_derived_cl1910]) ).

thf(zip_derived_cl69,plain,
    ( ~ hskp31
    | ( c0_1 @ a76 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl462,plain,
    ( ( c0_1 @ a76 )
   <= ( c0_1 @ a76 ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf('96',plain,
    ( ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
    | ~ ! [X38: $i] :
          ( ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
    | ~ ( c0_1 @ a76 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a76 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2882,zip_derived_cl462]) ).

thf('97',plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) )
    | ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ~ ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 ) )
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl313_051,plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl330_052,plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ~ ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ~ ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1575,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c1_1 @ X0 )
        | ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
      & ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ~ ( c0_1 @ X42 )
          | ~ ( c2_1 @ X42 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl330]) ).

thf(zip_derived_cl1589,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
      & ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ~ ( c0_1 @ X42 )
          | ~ ( c2_1 @ X42 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1575]) ).

thf(zip_derived_cl269_053,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl250_054,plain,
    ( ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl877,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl250]) ).

thf(zip_derived_cl905,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl877]) ).

thf(zip_derived_cl2921,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
      & ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
      & ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ~ ( c0_1 @ X42 )
          | ~ ( c2_1 @ X42 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1589,zip_derived_cl905]) ).

thf(zip_derived_cl2967,plain,
    ( ! [X0: $i] :
        ~ ( c0_1 @ X0 )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
      & ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
      & ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ~ ( c0_1 @ X42 )
          | ~ ( c2_1 @ X42 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2921]) ).

thf(zip_derived_cl462_055,plain,
    ( ( c0_1 @ a76 )
   <= ( c0_1 @ a76 ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf('98',plain,
    ( ~ ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ~ ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
    | ~ ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ~ ( c0_1 @ X42 )
          | ~ ( c2_1 @ X42 ) )
    | ~ ( c0_1 @ a76 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2967,zip_derived_cl462]) ).

thf(zip_derived_cl39,plain,
    ! [X47: $i,X48: $i] :
      ( ( c0_1 @ X47 )
      | ~ ( c1_1 @ X47 )
      | ~ ( c2_1 @ X47 )
      | ~ ndr1_0
      | ( c3_1 @ X48 )
      | ~ ( c0_1 @ X48 )
      | ~ ( c1_1 @ X48 )
      | ~ ndr1_0
      | hskp30 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
    | ! [X38: $i] :
        ( ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
    | ~ ndr1_0
    | hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp7
    | ( c0_1 @ a12 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('100',plain,
    ( ( c0_1 @ a12 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp7
    | ( c1_1 @ a12 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( ( c1_1 @ a12 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl18,plain,
    ! [X13: $i] :
      ( ( c2_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ( c3_1 @ X13 )
      | ~ ndr1_0
      | hskp28
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('102',plain,
    ( hskp28
    | hskp7
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf('103',plain,
    ( hskp3
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
    | ~ ndr1_0
    | ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c3_1 @ X87 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl542_056,plain,
    ( ( c2_1 @ a39 )
   <= ( c2_1 @ a39 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl341_057,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1763,plain,
    ( ( ( c0_1 @ a39 )
      | ~ ( c1_1 @ a39 ) )
   <= ( ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
      & ( c2_1 @ a39 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl341]) ).

thf('104',plain,
    ( ~ ( c1_1 @ a39 )
    | ~ ( c2_1 @ a39 )
    | ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
    | ( c0_1 @ a39 ) ),
    inference(split,[status(esa)],[zip_derived_cl1763]) ).

thf(zip_derived_cl433_058,plain,
    ( ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c3_1 @ X87 ) )
   <= ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c3_1 @ X87 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp13
    | ~ ( c1_1 @ a26 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl610,plain,
    ( ~ ( c1_1 @ a26 )
   <= ~ ( c1_1 @ a26 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl2073,plain,
    ( ( ~ ( c3_1 @ a26 )
      | ( c0_1 @ a26 ) )
   <= ( ~ ( c1_1 @ a26 )
      & ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c3_1 @ X87 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl610]) ).

thf('105',plain,
    ( ~ ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c3_1 @ X87 ) )
    | ( c0_1 @ a26 )
    | ( c1_1 @ a26 )
    | ~ ( c3_1 @ a26 ) ),
    inference(split,[status(esa)],[zip_derived_cl2073]) ).

thf('106',plain,
    ( ( c2_1 @ a39 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp21
    | ~ ( c0_1 @ a39 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( ~ ( c0_1 @ a39 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp21
    | ~ ( c3_1 @ a39 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( ~ ( c3_1 @ a39 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp13
    | ( c3_1 @ a26 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('109',plain,
    ( ( c3_1 @ a26 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp13
    | ~ ( c0_1 @ a26 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('110',plain,
    ( ~ ( c0_1 @ a26 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf('111',plain,
    ( ~ ( c1_1 @ a26 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl14,plain,
    ! [X8: $i,X9: $i] :
      ( ~ ( c0_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X9 )
      | ~ ( c2_1 @ X9 )
      | ~ ( c3_1 @ X9 )
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('112',plain,
    ( hskp21
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf('113',plain,
    ( hskp13
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | hskp15
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl905_059,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl877]) ).

thf(zip_derived_cl656,plain,
    ( ( c1_1 @ a12 )
   <= ( c1_1 @ a12 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl2309,plain,
    ( ~ ( c0_1 @ a12 )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
      & ( c1_1 @ a12 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl905,zip_derived_cl656]) ).

thf(zip_derived_cl654,plain,
    ( ( c0_1 @ a12 )
   <= ( c0_1 @ a12 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf('114',plain,
    ( ~ ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ~ ( c1_1 @ a12 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
    | ~ ( c0_1 @ a12 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2309,zip_derived_cl654]) ).

thf(zip_derived_cl266,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl618_060,plain,
    ( ~ ( c2_1 @ a24 )
   <= ~ ( c2_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl842,plain,
    ( ( ~ ( c3_1 @ a24 )
      | ~ ( c0_1 @ a24 ) )
   <= ( ~ ( c2_1 @ a24 )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl618]) ).

thf('115',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c0_1 @ a24 )
    | ( c2_1 @ a24 )
    | ~ ( c3_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl842]) ).

thf(zip_derived_cl380_061,plain,
    ( ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ~ ( c3_1 @ X63 ) )
   <= ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ~ ( c3_1 @ X63 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl618_062,plain,
    ( ~ ( c2_1 @ a24 )
   <= ~ ( c2_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1978,plain,
    ( ( ~ ( c3_1 @ a24 )
      | ( c0_1 @ a24 ) )
   <= ( ~ ( c2_1 @ a24 )
      & ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ( c2_1 @ X63 )
          | ~ ( c3_1 @ X63 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl618]) ).

thf('116',plain,
    ( ~ ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ( c2_1 @ X63 )
          | ~ ( c3_1 @ X63 ) )
    | ( c0_1 @ a24 )
    | ( c2_1 @ a24 )
    | ~ ( c3_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl1978]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp15
    | ( c1_1 @ a29 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('117',plain,
    ( ( c1_1 @ a29 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf('118',plain,
    ( ~ ( c2_1 @ a29 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp15
    | ~ ( c3_1 @ a29 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( ~ ( c3_1 @ a29 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl273_063,plain,
    ( ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl592_064,plain,
    ( ~ ( c2_1 @ a29 )
   <= ~ ( c2_1 @ a29 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl928,plain,
    ( ( ~ ( c1_1 @ a29 )
      | ( c3_1 @ a29 ) )
   <= ( ~ ( c2_1 @ a29 )
      & ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl592]) ).

thf('120',plain,
    ( ( c2_1 @ a29 )
    | ( c3_1 @ a29 )
    | ~ ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) )
    | ~ ( c1_1 @ a29 ) ),
    inference(split,[status(esa)],[zip_derived_cl928]) ).

thf('121',plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
    | hskp23
    | ~ ndr1_0
    | hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl88,plain,
    ( ~ hskp26
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( ~ hskp26
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl88]) ).

thf(zip_derived_cl2,plain,
    ( hskp3
    | hskp27
    | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( hskp26
    | hskp3
    | hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl266_065,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp27
    | ~ ( c2_1 @ a65 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl498,plain,
    ( ~ ( c2_1 @ a65 )
   <= ~ ( c2_1 @ a65 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl847,plain,
    ( ( ~ ( c3_1 @ a65 )
      | ~ ( c0_1 @ a65 ) )
   <= ( ~ ( c2_1 @ a65 )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl498]) ).

thf('124',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c0_1 @ a65 )
    | ( c2_1 @ a65 )
    | ~ ( c3_1 @ a65 ) ),
    inference(split,[status(esa)],[zip_derived_cl847]) ).

thf(zip_derived_cl72,plain,
    ( ~ hskp30
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('125',plain,
    ( ~ hskp30
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl9,plain,
    ! [X3: $i] :
      ( ~ ( c0_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ~ ( c3_1 @ X3 )
      | ~ ndr1_0
      | hskp28
      | hskp31 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( hskp28
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0
    | hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl266_066,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl222_067,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl833,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl222]) ).

thf(zip_derived_cl861,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl833]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp30
    | ( c3_1 @ a20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl474,plain,
    ( ( c3_1 @ a20 )
   <= ( c3_1 @ a20 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl2286,plain,
    ( ~ ( c0_1 @ a20 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c3_1 @ a20 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl861,zip_derived_cl474]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp30
    | ( c0_1 @ a20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl470,plain,
    ( ( c0_1 @ a20 )
   <= ( c0_1 @ a20 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf('127',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c3_1 @ a20 )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c0_1 @ a20 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2286,zip_derived_cl470]) ).

thf(zip_derived_cl266_068,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl690_069,plain,
    ( ~ ( c2_1 @ a6 )
   <= ~ ( c2_1 @ a6 ) ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl837,plain,
    ( ( ~ ( c3_1 @ a6 )
      | ~ ( c0_1 @ a6 ) )
   <= ( ~ ( c2_1 @ a6 )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl690]) ).

thf('128',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c0_1 @ a6 )
    | ( c2_1 @ a6 )
    | ~ ( c3_1 @ a6 ) ),
    inference(split,[status(esa)],[zip_derived_cl837]) ).

thf('129',plain,
    ( ( c2_1 @ a32 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl576_070,plain,
    ( ( c2_1 @ a32 )
   <= ( c2_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl250_071,plain,
    ( ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1501,plain,
    ( ( ~ ( c0_1 @ a32 )
      | ~ ( c1_1 @ a32 ) )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ( c2_1 @ a32 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl250]) ).

thf('130',plain,
    ( ~ ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ~ ( c1_1 @ a32 )
    | ~ ( c2_1 @ a32 )
    | ~ ( c0_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl1501]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp17
    | ( c0_1 @ a32 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( ( c0_1 @ a32 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp17
    | ~ ( c3_1 @ a32 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( ~ ( c3_1 @ a32 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl576_072,plain,
    ( ( c2_1 @ a32 )
   <= ( c2_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl214_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_cl6]) ).

thf(zip_derived_cl1499,plain,
    ( ( ~ ( c1_1 @ a32 )
      | ~ ( c3_1 @ a32 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c2_1 @ a32 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl214]) ).

thf(zip_derived_cl1618,plain,
    ( ~ ( c1_1 @ a32 )
   <= ~ ( c1_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl1499]) ).

thf(zip_derived_cl305_074,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1621,plain,
    ( ( ( c3_1 @ a32 )
      | ~ ( c0_1 @ a32 ) )
   <= ( ~ ( c1_1 @ a32 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c0_1 @ X31 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1618,zip_derived_cl305]) ).

thf('133',plain,
    ( ( c1_1 @ a32 )
    | ( c3_1 @ a32 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
    | ~ ( c0_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl1621]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp23
    | ( c0_1 @ a42 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('134',plain,
    ( ( c0_1 @ a42 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp23
    | ~ ( c1_1 @ a42 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('135',plain,
    ( ~ hskp23
    | ~ ( c1_1 @ a42 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a42 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('136',plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a42 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl305_075,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl528,plain,
    ( ~ ( c1_1 @ a42 )
   <= ~ ( c1_1 @ a42 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl1214,plain,
    ( ( ~ ( c0_1 @ a42 )
      | ( c3_1 @ a42 ) )
   <= ( ~ ( c1_1 @ a42 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c0_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl305,zip_derived_cl528]) ).

thf('137',plain,
    ( ( c1_1 @ a42 )
    | ( c3_1 @ a42 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
    | ~ ( c0_1 @ a42 ) ),
    inference(split,[status(esa)],[zip_derived_cl1214]) ).

thf('138',plain,
    ( hskp18
    | hskp17
    | ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl74,plain,
    ( ~ hskp30
    | ( c2_1 @ a20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl472,plain,
    ( ( c2_1 @ a20 )
   <= ( c2_1 @ a20 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl250_076,plain,
    ( ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1299,plain,
    ( ( ~ ( c0_1 @ a20 )
      | ~ ( c1_1 @ a20 ) )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ( c2_1 @ a20 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl250]) ).

thf('139',plain,
    ( ~ ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ~ ( c1_1 @ a20 )
    | ~ ( c2_1 @ a20 )
    | ~ ( c0_1 @ a20 ) ),
    inference(split,[status(esa)],[zip_derived_cl1299]) ).

thf(zip_derived_cl656_077,plain,
    ( ( c1_1 @ a12 )
   <= ( c1_1 @ a12 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl321_078,plain,
    ( ! [X38: $i] :
        ( ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1613,plain,
    ( ( ( c3_1 @ a12 )
      | ~ ( c0_1 @ a12 ) )
   <= ( ! [X38: $i] :
          ( ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
      & ( c1_1 @ a12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl656,zip_derived_cl321]) ).

thf('140',plain,
    ( ~ ( c1_1 @ a12 )
    | ( c3_1 @ a12 )
    | ~ ! [X38: $i] :
          ( ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
    | ~ ( c0_1 @ a12 ) ),
    inference(split,[status(esa)],[zip_derived_cl1613]) ).

thf(zip_derived_cl542_079,plain,
    ( ( c2_1 @ a39 )
   <= ( c2_1 @ a39 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl298_080,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1423,plain,
    ( ( ( c1_1 @ a39 )
      | ( c3_1 @ a39 ) )
   <= ( ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
      & ( c2_1 @ a39 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl298]) ).

thf('141',plain,
    ( ( c1_1 @ a39 )
    | ( c3_1 @ a39 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
    | ~ ( c2_1 @ a39 ) ),
    inference(split,[status(esa)],[zip_derived_cl1423]) ).

thf(zip_derived_cl861_081,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl833]) ).

thf(zip_derived_cl71,plain,
    ( ~ hskp31
    | ( c3_1 @ a76 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl466,plain,
    ( ( c3_1 @ a76 )
   <= ( c3_1 @ a76 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl2287,plain,
    ( ~ ( c0_1 @ a76 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c3_1 @ a76 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl861,zip_derived_cl466]) ).

thf(zip_derived_cl462_082,plain,
    ( ( c0_1 @ a76 )
   <= ( c0_1 @ a76 ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf('142',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c0_1 @ a76 )
    | ~ ( c3_1 @ a76 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2287,zip_derived_cl462]) ).

thf(zip_derived_cl472_083,plain,
    ( ( c2_1 @ a20 )
   <= ( c2_1 @ a20 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl222_084,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1298,plain,
    ( ( ~ ( c0_1 @ a20 )
      | ~ ( c3_1 @ a20 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c2_1 @ a20 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl222]) ).

thf('143',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c2_1 @ a20 )
    | ~ ( c3_1 @ a20 )
    | ~ ( c0_1 @ a20 ) ),
    inference(split,[status(esa)],[zip_derived_cl1298]) ).

thf(zip_derived_cl598_085,plain,
    ( ( c2_1 @ a28 )
   <= ( c2_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl333,plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
   <= ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1669,plain,
    ( ( ( c0_1 @ a28 )
      | ~ ( c3_1 @ a28 ) )
   <= ( ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
      & ( c2_1 @ a28 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl333]) ).

thf('144',plain,
    ( ( c0_1 @ a28 )
    | ~ ( c2_1 @ a28 )
    | ~ ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
    | ~ ( c3_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl1669]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp2
    | ~ ( c0_1 @ a5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('145',plain,
    ( ~ ( c0_1 @ a5 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl26,plain,
    ! [X24: $i,X25: $i,X26: $i] :
      ( ( c1_1 @ X24 )
      | ~ ( c0_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X25 )
      | ~ ( c1_1 @ X25 )
      | ~ ( c3_1 @ X25 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ( c3_1 @ X26 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf('147',plain,
    ( ( c2_1 @ a28 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp14
    | ( c3_1 @ a28 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( ( c3_1 @ a28 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a28 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('149',plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf('150',plain,
    ( ~ hskp31
    | ( c0_1 @ a76 ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf('151',plain,
    ( hskp14
    | hskp24
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl464_086,plain,
    ( ( c1_1 @ a76 )
   <= ( c1_1 @ a76 ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl230_087,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1252,plain,
    ( ( ~ ( c0_1 @ a76 )
      | ~ ( c3_1 @ a76 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c1_1 @ a76 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl464,zip_derived_cl230]) ).

thf('152',plain,
    ( ~ ( c0_1 @ a76 )
    | ~ ( c3_1 @ a76 )
    | ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c1_1 @ a76 ) ),
    inference(split,[status(esa)],[zip_derived_cl1252]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp18
    | ( c1_1 @ a33 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( ( c1_1 @ a33 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp18
    | ( c2_1 @ a33 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('154',plain,
    ( ( c2_1 @ a33 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp18
    | ~ ( c3_1 @ a33 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('155',plain,
    ( ~ ( c3_1 @ a33 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl568,plain,
    ( ( c2_1 @ a33 )
   <= ( c2_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl265_088,plain,
    ( ! [X15: $i] :
        ( ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1480,plain,
    ( ( ( c3_1 @ a33 )
      | ~ ( c1_1 @ a33 ) )
   <= ( ! [X15: $i] :
          ( ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 ) )
      & ( c2_1 @ a33 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl568,zip_derived_cl265]) ).

thf('156',plain,
    ( ~ ! [X15: $i] :
          ( ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 ) )
    | ~ ( c1_1 @ a33 )
    | ~ ( c2_1 @ a33 )
    | ( c3_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl1480]) ).

thf(zip_derived_cl273_089,plain,
    ( ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a17 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl634,plain,
    ( ~ ( c2_1 @ a17 )
   <= ~ ( c2_1 @ a17 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl925,plain,
    ( ( ~ ( c1_1 @ a17 )
      | ( c3_1 @ a17 ) )
   <= ( ~ ( c2_1 @ a17 )
      & ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl634]) ).

thf('157',plain,
    ( ( c3_1 @ a17 )
    | ( c2_1 @ a17 )
    | ~ ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) )
    | ~ ( c1_1 @ a17 ) ),
    inference(split,[status(esa)],[zip_derived_cl925]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp10
    | ( c1_1 @ a17 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('158',plain,
    ( ( c1_1 @ a17 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf('159',plain,
    ( ~ ( c2_1 @ a17 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl51,plain,
    ! [X68: $i,X69: $i] :
      ( ( c0_1 @ X68 )
      | ( c2_1 @ X68 )
      | ~ ( c3_1 @ X68 )
      | ~ ndr1_0
      | ( c1_1 @ X69 )
      | ( c3_1 @ X69 )
      | ~ ( c0_1 @ X69 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('160',plain,
    ( hskp10
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
    | ~ ndr1_0
    | ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ~ ( c3_1 @ X63 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf('161',plain,
    ( hskp11
    | hskp30
    | ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ~ ( c3_1 @ X63 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl273_090,plain,
    ( ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl624_091,plain,
    ( ~ ( c2_1 @ a21 )
   <= ~ ( c2_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl926,plain,
    ( ( ~ ( c1_1 @ a21 )
      | ( c3_1 @ a21 ) )
   <= ( ~ ( c2_1 @ a21 )
      & ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl624]) ).

thf('162',plain,
    ( ~ ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) )
    | ( c2_1 @ a21 )
    | ( c3_1 @ a21 )
    | ~ ( c1_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl926]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp11
    | ( c0_1 @ a21 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('163',plain,
    ( ( c0_1 @ a21 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf('164',plain,
    ( ~ ( c2_1 @ a21 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a21 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('165',plain,
    ( ~ ( c3_1 @ a21 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl305_092,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c3_1 @ X31 )
        | ~ ( c0_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl258_093,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl624_094,plain,
    ( ~ ( c2_1 @ a21 )
   <= ~ ( c2_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl765,plain,
    ( ( ~ ( c3_1 @ a21 )
      | ~ ( c1_1 @ a21 ) )
   <= ( ~ ( c2_1 @ a21 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl624]) ).

thf(zip_derived_cl794,plain,
    ( ~ ( c1_1 @ a21 )
   <= ~ ( c1_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl765]) ).

thf(zip_derived_cl1207,plain,
    ( ( ~ ( c0_1 @ a21 )
      | ( c3_1 @ a21 ) )
   <= ( ~ ( c1_1 @ a21 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c0_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl305,zip_derived_cl794]) ).

thf('166',plain,
    ( ( c1_1 @ a21 )
    | ( c3_1 @ a21 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c3_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
    | ~ ( c0_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl1207]) ).

thf('167',plain,
    ( ( c0_1 @ a20 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl472_095,plain,
    ( ( c2_1 @ a20 )
   <= ( c2_1 @ a20 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl214_096,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_cl6]) ).

thf(zip_derived_cl1297,plain,
    ( ( ~ ( c1_1 @ a20 )
      | ~ ( c3_1 @ a20 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c2_1 @ a20 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl214]) ).

thf(zip_derived_cl1363,plain,
    ( ~ ( c1_1 @ a20 )
   <= ~ ( c1_1 @ a20 ) ),
    inference(split,[status(esa)],[zip_derived_cl1297]) ).

thf(zip_derived_cl289_097,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1365,plain,
    ( ( ~ ( c0_1 @ a20 )
      | ~ ( c3_1 @ a20 ) )
   <= ( ~ ( c1_1 @ a20 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1363,zip_derived_cl289]) ).

thf('168',plain,
    ( ( c1_1 @ a20 )
    | ~ ( c3_1 @ a20 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c0_1 @ a20 ) ),
    inference(split,[status(esa)],[zip_derived_cl1365]) ).

thf('169',plain,
    ( ( c2_1 @ a20 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf('170',plain,
    ( ( c3_1 @ a20 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf('171',plain,
    ( ~ ( c1_1 @ a20 )
    | ~ ( c2_1 @ a20 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a20 ) ),
    inference(split,[status(esa)],[zip_derived_cl1297]) ).

thf(zip_derived_cl34,plain,
    ! [X39: $i,X40: $i] :
      ( ( c1_1 @ X39 )
      | ( c2_1 @ X39 )
      | ( c3_1 @ X39 )
      | ~ ndr1_0
      | ( c1_1 @ X40 )
      | ~ ( c2_1 @ X40 )
      | ~ ( c3_1 @ X40 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('172',plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) )
    | hskp8
    | ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp2
    | ( c2_1 @ a5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl694,plain,
    ( ( c2_1 @ a5 )
   <= ( c2_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl298_098,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1696,plain,
    ( ( ( c1_1 @ a5 )
      | ( c3_1 @ a5 ) )
   <= ( ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
      & ( c2_1 @ a5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl694,zip_derived_cl298]) ).

thf('173',plain,
    ( ( c3_1 @ a5 )
    | ( c1_1 @ a5 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
    | ~ ( c2_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl1696]) ).

thf('174',plain,
    ( ( c1_1 @ a13 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf('175',plain,
    ( ( c2_1 @ a13 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('176',plain,
    ( ~ ( c0_1 @ a13 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl648_099,plain,
    ( ( c2_1 @ a13 )
   <= ( c2_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl341_100,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1758,plain,
    ( ( ( c0_1 @ a13 )
      | ~ ( c1_1 @ a13 ) )
   <= ( ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
      & ( c2_1 @ a13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl341]) ).

thf('177',plain,
    ( ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
    | ~ ( c2_1 @ a13 )
    | ( c0_1 @ a13 )
    | ~ ( c1_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl1758]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('178',plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a15 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp9
    | ~ ( c2_1 @ a15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('179',plain,
    ( ~ hskp9
    | ~ ( c2_1 @ a15 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp9
    | ~ ( c3_1 @ a15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('180',plain,
    ( ~ hskp9
    | ~ ( c3_1 @ a15 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl322_101,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl640,plain,
    ( ~ ( c2_1 @ a15 )
   <= ~ ( c2_1 @ a15 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl1443,plain,
    ( ( ( c3_1 @ a15 )
      | ( c1_1 @ a15 ) )
   <= ( ~ ( c2_1 @ a15 )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ( c3_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl640]) ).

thf('181',plain,
    ( ( c2_1 @ a15 )
    | ( c3_1 @ a15 )
    | ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ( c3_1 @ X37 ) )
    | ( c1_1 @ a15 ) ),
    inference(split,[status(esa)],[zip_derived_cl1443]) ).

thf('182',plain,
    ( ( c2_1 @ a5 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf('183',plain,
    ( ~ ( c1_1 @ a5 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl53,plain,
    ! [X72: $i,X73: $i,X74: $i] :
      ( ( c0_1 @ X72 )
      | ( c2_1 @ X72 )
      | ~ ( c3_1 @ X72 )
      | ~ ndr1_0
      | ( c0_1 @ X73 )
      | ~ ( c1_1 @ X73 )
      | ~ ( c2_1 @ X73 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X74 )
      | ~ ( c2_1 @ X74 )
      | ~ ( c3_1 @ X74 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('184',plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
    | ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ~ ( c3_1 @ X63 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl7,plain,
    ! [X1: $i] :
      ( ~ ( c1_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp25
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('185',plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | hskp25
    | hskp9
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf('186',plain,
    ( hskp2
    | hskp12
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl694_102,plain,
    ( ( c2_1 @ a5 )
   <= ( c2_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl286_103,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1695,plain,
    ( ( ( c1_1 @ a5 )
      | ~ ( c3_1 @ a5 ) )
   <= ( ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ( c2_1 @ a5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl694,zip_derived_cl286]) ).

thf('187',plain,
    ( ~ ( c3_1 @ a5 )
    | ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ( c2_1 @ a5 )
    | ( c1_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl1695]) ).

thf('188',plain,
    ( ( c2_1 @ a10 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf('189',plain,
    ( ~ ( c1_1 @ a10 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp6
    | ~ ( c3_1 @ a10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('190',plain,
    ( ~ ( c3_1 @ a10 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf('191',plain,
    ( hskp3
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1,plain,
    ( hskp12
    | hskp6
    | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('192',plain,
    ( hskp6
    | hskp12
    | hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf('193',plain,
    ( ( c1_1 @ a76 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf('194',plain,
    ( ( c3_1 @ a76 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl5,plain,
    ( hskp31
    | hskp12
    | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('195',plain,
    ( hskp12
    | hskp24
    | hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl1910_104,plain,
    ( ~ ( c3_1 @ a76 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ( c1_1 @ a76 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl781,zip_derived_cl464]) ).

thf(zip_derived_cl466_105,plain,
    ( ( c3_1 @ a76 )
   <= ( c3_1 @ a76 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf('196',plain,
    ( ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c1_1 @ a76 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a76 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1910,zip_derived_cl466]) ).

thf(zip_derived_cl380_106,plain,
    ( ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ~ ( c3_1 @ X63 ) )
   <= ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ~ ( c3_1 @ X63 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl498_107,plain,
    ( ~ ( c2_1 @ a65 )
   <= ~ ( c2_1 @ a65 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl1983,plain,
    ( ( ~ ( c3_1 @ a65 )
      | ( c0_1 @ a65 ) )
   <= ( ~ ( c2_1 @ a65 )
      & ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ( c2_1 @ X63 )
          | ~ ( c3_1 @ X63 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl498]) ).

thf('197',plain,
    ( ( c0_1 @ a65 )
    | ~ ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ( c2_1 @ X63 )
          | ~ ( c3_1 @ X63 ) )
    | ( c2_1 @ a65 )
    | ~ ( c3_1 @ a65 ) ),
    inference(split,[status(esa)],[zip_derived_cl1983]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp27
    | ( c3_1 @ a65 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('198',plain,
    ( ( c3_1 @ a65 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp27
    | ~ ( c1_1 @ a65 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('199',plain,
    ( ~ ( c1_1 @ a65 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf('200',plain,
    ( ~ ( c2_1 @ a65 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl289_108,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl496,plain,
    ( ~ ( c1_1 @ a65 )
   <= ~ ( c1_1 @ a65 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl1083,plain,
    ( ( ~ ( c3_1 @ a65 )
      | ~ ( c0_1 @ a65 ) )
   <= ( ~ ( c1_1 @ a65 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl496]) ).

thf('201',plain,
    ( ~ ( c0_1 @ a65 )
    | ( c1_1 @ a65 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c3_1 @ a65 ) ),
    inference(split,[status(esa)],[zip_derived_cl1083]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp24
    | ( c3_1 @ a52 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('202',plain,
    ( ( c3_1 @ a52 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp24
    | ~ ( c0_1 @ a52 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('203',plain,
    ( ~ ( c0_1 @ a52 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp24
    | ~ ( c2_1 @ a52 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('204',plain,
    ( ~ ( c2_1 @ a52 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl380_109,plain,
    ( ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ~ ( c3_1 @ X63 ) )
   <= ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ~ ( c3_1 @ X63 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl522,plain,
    ( ~ ( c2_1 @ a52 )
   <= ~ ( c2_1 @ a52 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl1982,plain,
    ( ( ~ ( c3_1 @ a52 )
      | ( c0_1 @ a52 ) )
   <= ( ~ ( c2_1 @ a52 )
      & ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ( c2_1 @ X63 )
          | ~ ( c3_1 @ X63 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl522]) ).

thf('205',plain,
    ( ~ ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ( c2_1 @ X63 )
          | ~ ( c3_1 @ X63 ) )
    | ( c0_1 @ a52 )
    | ( c2_1 @ a52 )
    | ~ ( c3_1 @ a52 ) ),
    inference(split,[status(esa)],[zip_derived_cl1982]) ).

thf(zip_derived_cl662_110,plain,
    ( ( c2_1 @ a10 )
   <= ( c2_1 @ a10 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl298_111,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1635,plain,
    ( ( ( c1_1 @ a10 )
      | ( c3_1 @ a10 ) )
   <= ( ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
      & ( c2_1 @ a10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl662,zip_derived_cl298]) ).

thf('206',plain,
    ( ~ ( c2_1 @ a10 )
    | ( c1_1 @ a10 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
    | ( c3_1 @ a10 ) ),
    inference(split,[status(esa)],[zip_derived_cl1635]) ).

thf('207',plain,
    ( hskp3
    | ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
    | ~ ndr1_0
    | hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl690_112,plain,
    ( ~ ( c2_1 @ a6 )
   <= ~ ( c2_1 @ a6 ) ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl258_113,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl786,plain,
    ( ( ~ ( c1_1 @ a6 )
      | ~ ( c3_1 @ a6 ) )
   <= ( ~ ( c2_1 @ a6 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl690,zip_derived_cl258]) ).

thf('208',plain,
    ( ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c1_1 @ a6 )
    | ( c2_1 @ a6 )
    | ~ ( c3_1 @ a6 ) ),
    inference(split,[status(esa)],[zip_derived_cl786]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp3
    | ( c0_1 @ a6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('209',plain,
    ( ( c0_1 @ a6 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp3
    | ( c3_1 @ a6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('210',plain,
    ( ( c3_1 @ a6 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf('211',plain,
    ( ~ ( c2_1 @ a6 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl289_114,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl871,plain,
    ( ~ ( c1_1 @ a6 )
   <= ~ ( c1_1 @ a6 ) ),
    inference(split,[status(esa)],[zip_derived_cl786]) ).

thf(zip_derived_cl1067,plain,
    ( ( ~ ( c3_1 @ a6 )
      | ~ ( c0_1 @ a6 ) )
   <= ( ~ ( c1_1 @ a6 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl871]) ).

thf('212',plain,
    ( ( c1_1 @ a6 )
    | ~ ( c0_1 @ a6 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c3_1 @ a6 ) ),
    inference(split,[status(esa)],[zip_derived_cl1067]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp25
    | ( c0_1 @ a54 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('213',plain,
    ( ( c0_1 @ a54 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp25
    | ( c3_1 @ a54 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('214',plain,
    ( ( c3_1 @ a54 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp25
    | ~ ( c1_1 @ a54 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('215',plain,
    ( ~ ( c1_1 @ a54 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl289_115,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl514,plain,
    ( ~ ( c1_1 @ a54 )
   <= ~ ( c1_1 @ a54 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl1081,plain,
    ( ( ~ ( c3_1 @ a54 )
      | ~ ( c0_1 @ a54 ) )
   <= ( ~ ( c1_1 @ a54 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl514]) ).

thf('216',plain,
    ( ~ ( c3_1 @ a54 )
    | ( c1_1 @ a54 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c0_1 @ a54 ) ),
    inference(split,[status(esa)],[zip_derived_cl1081]) ).

thf(zip_derived_cl258_116,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl634_117,plain,
    ( ~ ( c2_1 @ a17 )
   <= ~ ( c2_1 @ a17 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl764,plain,
    ( ( ~ ( c3_1 @ a17 )
      | ~ ( c1_1 @ a17 ) )
   <= ( ~ ( c2_1 @ a17 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl634]) ).

thf('217',plain,
    ( ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c3_1 @ a17 )
    | ( c2_1 @ a17 )
    | ~ ( c1_1 @ a17 ) ),
    inference(split,[status(esa)],[zip_derived_cl764]) ).

thf('218',plain,
    ( ( c1_1 @ a24 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp12
    | ( c3_1 @ a24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('219',plain,
    ( ( c3_1 @ a24 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf('220',plain,
    ( ~ ( c2_1 @ a24 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl258_118,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl618_119,plain,
    ( ~ ( c2_1 @ a24 )
   <= ~ ( c2_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl766,plain,
    ( ( ~ ( c3_1 @ a24 )
      | ~ ( c1_1 @ a24 ) )
   <= ( ~ ( c2_1 @ a24 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl618]) ).

thf('221',plain,
    ( ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c1_1 @ a24 )
    | ( c2_1 @ a24 )
    | ~ ( c3_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl766]) ).

thf('222',plain,
    ( ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ( c1_1 @ a28 )
    | ~ ( c2_1 @ a28 )
    | ~ ( c3_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl1521]) ).

thf(zip_derived_cl558,plain,
    ( ( c1_1 @ a35 )
   <= ( c1_1 @ a35 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl373_120,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl1879,plain,
    ( ( ( c0_1 @ a35 )
      | ( c3_1 @ a35 ) )
   <= ( ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c1_1 @ X61 ) )
      & ( c1_1 @ a35 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl558,zip_derived_cl373]) ).

thf('223',plain,
    ( ~ ( c1_1 @ a35 )
    | ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c1_1 @ X61 ) )
    | ( c0_1 @ a35 )
    | ( c3_1 @ a35 ) ),
    inference(split,[status(esa)],[zip_derived_cl1879]) ).

thf(zip_derived_cl140,plain,
    ( ~ hskp13
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('224',plain,
    ( ~ hskp13
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl140]) ).

thf(zip_derived_cl3,plain,
    ( hskp3
    | hskp2
    | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('225',plain,
    ( hskp13
    | hskp2
    | hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl7286,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN465+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.JLK4yaRzbE true
% 0.13/0.34  % Computer : n002.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 21:01:48 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
% 0.13/0.34  % Python version: Python 3.6.8
% 0.20/0.34  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.60/1.43  % Solved by fo/fo1_av.sh.
% 5.60/1.43  % done 1859 iterations in 0.655s
% 5.60/1.43  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.60/1.43  % SZS output start Refutation
% See solution above
% 5.60/1.44  
% 5.60/1.44  
% 5.60/1.44  % Terminating...
% 5.60/1.44  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 6.83/1.58  % Runner terminated.
% 6.83/1.60  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------