TSTP Solution File: SYO594+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO594+1 : TPTP v8.1.2. Bugfixed v5.5.1.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SyWf3sNtVZ true

% Computer : n009.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 05:52:12 EDT 2023

% Result   : Unsatisfiable 194.04s 28.39s
% Output   : Refutation 194.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  128
%            Number of leaves      :  266
% Syntax   : Number of formulae    : 1408 (  19 unt; 265 typ;   0 def)
%            Number of atoms       : 7160 (   0 equ;   0 cnn)
%            Maximal formula atoms : 3026 (   6 avg)
%            Number of connectives : 58496 (4280   ~;4780   |;1237   &;48199   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth : 1713 (  38 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  : 4396 (4396   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  266 ( 265 usr;   6 con; 0-23 aty)
%            Number of variables   : 18565 (   0   ^;18115   !; 450   ?;18565   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__409_type,type,
    sk__409: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__353_type,type,
    sk__353: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__144_type,type,
    sk__144: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__446_type,type,
    sk__446: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__348_type,type,
    sk__348: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__87_type,type,
    sk__87: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(p_type,type,
    p: $i > $o ).

thf(sk__300_type,type,
    sk__300: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__145_type,type,
    sk__145: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__51_type,type,
    sk__51: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__434_type,type,
    sk__434: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__141_type,type,
    sk__141: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__262_type,type,
    sk__262: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__163_type,type,
    sk__163: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__117_type,type,
    sk__117: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__357_type,type,
    sk__357: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__121_type,type,
    sk__121: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__173_type,type,
    sk__173: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__436_type,type,
    sk__436: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__211_type,type,
    sk__211: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__275_type,type,
    sk__275: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__75_type,type,
    sk__75: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__195_type,type,
    sk__195: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__281_type,type,
    sk__281: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__11_type,type,
    sk__11: $i > $i ).

thf(sk__104_type,type,
    sk__104: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__379_type,type,
    sk__379: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__61_type,type,
    sk__61: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(false_type,type,
    false: $i ).

thf(sk__384_type,type,
    sk__384: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__47_type,type,
    sk__47: $i > $i > $i > $i > $i > $i ).

thf(sk__371_type,type,
    sk__371: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__263_type,type,
    sk__263: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__378_type,type,
    sk__378: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__408_type,type,
    sk__408: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__276_type,type,
    sk__276: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__375_type,type,
    sk__375: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__176_type,type,
    sk__176: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__412_type,type,
    sk__412: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__152_type,type,
    sk__152: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__174_type,type,
    sk__174: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__113_type,type,
    sk__113: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__326_type,type,
    sk__326: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__55_type,type,
    sk__55: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__170_type,type,
    sk__170: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__119_type,type,
    sk__119: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__28_type,type,
    sk__28: $i > $i > $i > $i ).

thf(sk__164_type,type,
    sk__164: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__154_type,type,
    sk__154: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__359_type,type,
    sk__359: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__373_type,type,
    sk__373: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__355_type,type,
    sk__355: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(sk__167_type,type,
    sk__167: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__334_type,type,
    sk__334: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__349_type,type,
    sk__349: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__188_type,type,
    sk__188: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__332_type,type,
    sk__332: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__305_type,type,
    sk__305: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__143_type,type,
    sk__143: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__114_type,type,
    sk__114: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__106_type,type,
    sk__106: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__303_type,type,
    sk__303: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__116_type,type,
    sk__116: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__405_type,type,
    sk__405: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__278_type,type,
    sk__278: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__30_type,type,
    sk__30: $i > $i > $i > $i > $i > $i ).

thf(sk__105_type,type,
    sk__105: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__261_type,type,
    sk__261: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__60_type,type,
    sk__60: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__185_type,type,
    sk__185: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__393_type,type,
    sk__393: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__194_type,type,
    sk__194: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__103_type,type,
    sk__103: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__360_type,type,
    sk__360: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__148_type,type,
    sk__148: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__3_type,type,
    sk__3: $i > $i ).

thf(sk__333_type,type,
    sk__333: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__99_type,type,
    sk__99: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__63_type,type,
    sk__63: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__327_type,type,
    sk__327: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__301_type,type,
    sk__301: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__189_type,type,
    sk__189: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__129_type,type,
    sk__129: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__191_type,type,
    sk__191: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__171_type,type,
    sk__171: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__146_type,type,
    sk__146: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__351_type,type,
    sk__351: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__80_type,type,
    sk__80: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__193_type,type,
    sk__193: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__352_type,type,
    sk__352: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__428_type,type,
    sk__428: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__385_type,type,
    sk__385: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__118_type,type,
    sk__118: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__345_type,type,
    sk__345: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__314_type,type,
    sk__314: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__304_type,type,
    sk__304: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__370_type,type,
    sk__370: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__165_type,type,
    sk__165: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__108_type,type,
    sk__108: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__139_type,type,
    sk__139: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__392_type,type,
    sk__392: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__122_type,type,
    sk__122: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__126_type,type,
    sk__126: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__9_type,type,
    sk__9: $i > $i ).

thf(sk__149_type,type,
    sk__149: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__22_type,type,
    sk__22: $i > $i > $i > $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(sk__40_type,type,
    sk__40: $i > $i > $i > $i > $i > $i ).

thf(sk__147_type,type,
    sk__147: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__128_type,type,
    sk__128: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__95_type,type,
    sk__95: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__328_type,type,
    sk__328: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__90_type,type,
    sk__90: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__354_type,type,
    sk__354: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__137_type,type,
    sk__137: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__298_type,type,
    sk__298: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__433_type,type,
    sk__433: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__71_type,type,
    sk__71: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__12_type,type,
    sk__12: $i > $i > $i > $i ).

thf(sk__83_type,type,
    sk__83: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__280_type,type,
    sk__280: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__82_type,type,
    sk__82: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__325_type,type,
    sk__325: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__110_type,type,
    sk__110: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__335_type,type,
    sk__335: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__435_type,type,
    sk__435: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__127_type,type,
    sk__127: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__150_type,type,
    sk__150: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__322_type,type,
    sk__322: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__369_type,type,
    sk__369: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__93_type,type,
    sk__93: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__166_type,type,
    sk__166: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__295_type,type,
    sk__295: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__330_type,type,
    sk__330: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__142_type,type,
    sk__142: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__50_type,type,
    sk__50: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__344_type,type,
    sk__344: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__313_type,type,
    sk__313: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__299_type,type,
    sk__299: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__204_type,type,
    sk__204: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__340_type,type,
    sk__340: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__308_type,type,
    sk__308: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__96_type,type,
    sk__96: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__133_type,type,
    sk__133: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__76_type,type,
    sk__76: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__404_type,type,
    sk__404: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__29_type,type,
    sk__29: $i > $i > $i > $i > $i > $i ).

thf(sk__168_type,type,
    sk__168: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__175_type,type,
    sk__175: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__26_type,type,
    sk__26: $i > $i > $i > $i ).

thf(sk__192_type,type,
    sk__192: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__356_type,type,
    sk__356: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__337_type,type,
    sk__337: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__69_type,type,
    sk__69: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(true_type,type,
    true: $i ).

thf(sk__341_type,type,
    sk__341: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__396_type,type,
    sk__396: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__135_type,type,
    sk__135: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__157_type,type,
    sk__157: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__367_type,type,
    sk__367: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__329_type,type,
    sk__329: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__109_type,type,
    sk__109: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__140_type,type,
    sk__140: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__277_type,type,
    sk__277: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__162_type,type,
    sk__162: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__172_type,type,
    sk__172: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__307_type,type,
    sk__307: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__324_type,type,
    sk__324: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__130_type,type,
    sk__130: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__101_type,type,
    sk__101: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__196_type,type,
    sk__196: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__279_type,type,
    sk__279: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__418_type,type,
    sk__418: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__390_type,type,
    sk__390: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__283_type,type,
    sk__283: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__310_type,type,
    sk__310: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__41_type,type,
    sk__41: $i > $i > $i > $i > $i > $i ).

thf(sk__111_type,type,
    sk__111: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__309_type,type,
    sk__309: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__350_type,type,
    sk__350: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__442_type,type,
    sk__442: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__49_type,type,
    sk__49: $i > $i > $i > $i > $i > $i ).

thf(sk__372_type,type,
    sk__372: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__321_type,type,
    sk__321: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__107_type,type,
    sk__107: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__323_type,type,
    sk__323: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__358_type,type,
    sk__358: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__311_type,type,
    sk__311: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__6_type,type,
    sk__6: $i > $i ).

thf(sk__124_type,type,
    sk__124: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__346_type,type,
    sk__346: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__34_type,type,
    sk__34: $i > $i > $i > $i > $i > $i ).

thf(sk__363_type,type,
    sk__363: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__23_type,type,
    sk__23: $i > $i > $i > $i ).

thf(sk__398_type,type,
    sk__398: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__92_type,type,
    sk__92: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__429_type,type,
    sk__429: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__79_type,type,
    sk__79: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__77_type,type,
    sk__77: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__388_type,type,
    sk__388: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__97_type,type,
    sk__97: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__448_type,type,
    sk__448: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__331_type,type,
    sk__331: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__72_type,type,
    sk__72: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__315_type,type,
    sk__315: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__394_type,type,
    sk__394: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__151_type,type,
    sk__151: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__389_type,type,
    sk__389: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__336_type,type,
    sk__336: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__447_type,type,
    sk__447: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__395_type,type,
    sk__395: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__85_type,type,
    sk__85: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__183_type,type,
    sk__183: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__type,type,
    sk_: $i ).

thf(sk__169_type,type,
    sk__169: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__209_type,type,
    sk__209: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__312_type,type,
    sk__312: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__397_type,type,
    sk__397: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__410_type,type,
    sk__410: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__120_type,type,
    sk__120: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__160_type,type,
    sk__160: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__377_type,type,
    sk__377: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__430_type,type,
    sk__430: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__54_type,type,
    sk__54: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__441_type,type,
    sk__441: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__115_type,type,
    sk__115: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__84_type,type,
    sk__84: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__4_type,type,
    sk__4: $i > $i ).

thf(sk__296_type,type,
    sk__296: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__416_type,type,
    sk__416: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__297_type,type,
    sk__297: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__361_type,type,
    sk__361: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__415_type,type,
    sk__415: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__362_type,type,
    sk__362: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__159_type,type,
    sk__159: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__376_type,type,
    sk__376: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__374_type,type,
    sk__374: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__282_type,type,
    sk__282: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__36_type,type,
    sk__36: $i > $i > $i > $i > $i > $i ).

thf(sk__16_type,type,
    sk__16: $i > $i > $i > $i ).

thf(sk__10_type,type,
    sk__10: $i > $i ).

thf(sk__288_type,type,
    sk__288: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__366_type,type,
    sk__366: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__74_type,type,
    sk__74: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__91_type,type,
    sk__91: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__39_type,type,
    sk__39: $i > $i > $i > $i > $i > $i ).

thf(sk__65_type,type,
    sk__65: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__210_type,type,
    sk__210: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__123_type,type,
    sk__123: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__302_type,type,
    sk__302: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__94_type,type,
    sk__94: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__98_type,type,
    sk__98: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__190_type,type,
    sk__190: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__131_type,type,
    sk__131: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__13_type,type,
    sk__13: $i > $i > $i > $i ).

thf(sk__182_type,type,
    sk__182: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__432_type,type,
    sk__432: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__417_type,type,
    sk__417: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__134_type,type,
    sk__134: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__57_type,type,
    sk__57: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__306_type,type,
    sk__306: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__73_type,type,
    sk__73: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__289_type,type,
    sk__289: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(sk__445_type,type,
    sk__445: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(quant,axiom,
    ? [V473: $i,V1: $i,V472: $i] :
    ! [V110: $i] :
    ? [V133: $i,V471: $i,V6: $i,V5: $i,V4: $i,V3: $i,V2: $i,V136: $i,V470: $i] :
    ! [V111: $i,V112: $i] :
    ? [V139: $i,V469: $i,V15: $i,V14: $i,V13: $i,V12: $i,V11: $i,V10: $i,V9: $i,V8: $i,V7: $i,V145: $i,V148: $i,V151: $i,V153: $i,V154: $i,V468: $i] :
    ! [V113: $i,V114: $i] :
    ? [V158: $i,V467: $i,V25: $i,V24: $i,V23: $i,V22: $i,V21: $i,V20: $i,V19: $i,V18: $i,V17: $i,V16: $i,V164: $i,V167: $i,V170: $i,V173: $i,V176: $i,V178: $i,V180: $i,V181: $i,V466: $i] :
    ! [V115: $i,V116: $i] :
    ? [V185: $i,V465: $i,V35: $i,V34: $i,V33: $i,V32: $i,V31: $i,V30: $i,V29: $i,V28: $i,V27: $i,V26: $i,V188: $i,V194: $i,V197: $i,V200: $i,V203: $i,V206: $i,V208: $i,V210: $i,V211: $i,V464: $i] :
    ! [V117: $i,V118: $i] :
    ? [V215: $i,V463: $i,V45: $i,V44: $i,V43: $i,V42: $i,V41: $i,V40: $i,V39: $i,V38: $i,V37: $i,V36: $i,V218: $i,V224: $i,V227: $i,V230: $i,V233: $i,V236: $i,V238: $i,V240: $i,V241: $i,V462: $i] :
    ! [V119: $i,V120: $i] :
    ? [V245: $i,V461: $i,V59: $i,V58: $i,V57: $i,V56: $i,V55: $i,V54: $i,V53: $i,V52: $i,V51: $i,V50: $i,V49: $i,V48: $i,V47: $i,V46: $i,V248: $i,V256: $i,V259: $i,V262: $i,V265: $i,V268: $i,V271: $i,V273: $i,V274: $i,V460: $i] :
    ! [V121: $i,V122: $i,V123: $i] :
    ? [V279: $i,V459: $i,V71: $i,V70: $i,V69: $i,V68: $i,V67: $i,V66: $i,V65: $i,V64: $i,V63: $i,V62: $i,V61: $i,V60: $i,V282: $i,V288: $i,V291: $i,V294: $i,V297: $i,V300: $i,V303: $i,V306: $i,V309: $i,V312: $i,V314: $i,V316: $i,V317: $i,V458: $i] :
    ! [V124: $i,V125: $i] :
    ? [V321: $i,V457: $i,V81: $i,V80: $i,V79: $i,V78: $i,V77: $i,V76: $i,V75: $i,V74: $i,V73: $i,V72: $i,V324: $i,V330: $i,V334: $i,V337: $i,V340: $i,V343: $i,V346: $i,V349: $i,V352: $i,V354: $i,V355: $i,V456: $i] :
    ! [V126: $i,V127: $i] :
    ? [V359: $i,V455: $i,V90: $i,V89: $i,V88: $i,V87: $i,V86: $i,V85: $i,V84: $i,V83: $i,V82: $i,V362: $i,V368: $i,V371: $i,V374: $i,V377: $i,V380: $i,V383: $i,V385: $i,V386: $i,V454: $i] :
    ! [V128: $i,V129: $i] :
    ? [V389: $i,V453: $i,V99: $i,V98: $i,V97: $i,V96: $i,V95: $i,V94: $i,V93: $i,V92: $i,V91: $i,V392: $i,V398: $i,V401: $i,V404: $i,V407: $i,V410: $i,V412: $i,V413: $i,V452: $i] :
    ! [V130: $i,V131: $i] :
    ? [V416: $i,V451: $i,V105: $i,V104: $i,V103: $i,V102: $i,V101: $i,V100: $i,V419: $i,V422: $i,V425: $i,V428: $i,V431: $i,V434: $i,V436: $i,V437: $i,V450: $i] :
    ! [V132: $i] :
    ? [V438: $i,V449: $i,V108: $i,V107: $i,V106: $i,V439: $i,V441: $i,V443: $i,V445: $i,V446: $i,V448: $i,V109: $i,V447: $i,V444: $i,V442: $i,V440: $i,V435: $i,V432: $i,V433: $i,V430: $i,V429: $i,V427: $i,V426: $i,V424: $i,V423: $i,V421: $i,V420: $i,V418: $i,V417: $i,V414: $i,V415: $i,V411: $i,V408: $i,V409: $i,V406: $i,V405: $i,V403: $i,V402: $i,V400: $i,V399: $i,V394: $i,V397: $i,V395: $i,V396: $i,V393: $i,V391: $i,V390: $i,V387: $i,V388: $i,V384: $i,V381: $i,V382: $i,V378: $i,V379: $i,V376: $i,V375: $i,V373: $i,V372: $i,V370: $i,V369: $i,V364: $i,V367: $i,V365: $i,V366: $i,V363: $i,V361: $i,V360: $i,V356: $i,V357: $i,V358: $i,V353: $i,V350: $i,V351: $i,V347: $i,V348: $i,V345: $i,V344: $i,V342: $i,V341: $i,V339: $i,V338: $i,V336: $i,V335: $i,V332: $i,V333: $i,V331: $i,V326: $i,V329: $i,V327: $i,V328: $i,V325: $i,V323: $i,V322: $i,V318: $i,V319: $i,V320: $i,V315: $i,V313: $i,V310: $i,V311: $i,V307: $i,V308: $i,V305: $i,V304: $i,V302: $i,V301: $i,V299: $i,V298: $i,V296: $i,V295: $i,V293: $i,V292: $i,V290: $i,V289: $i,V284: $i,V287: $i,V285: $i,V286: $i,V283: $i,V281: $i,V280: $i,V275: $i,V276: $i,V277: $i,V278: $i,V272: $i,V269: $i,V270: $i,V266: $i,V267: $i,V264: $i,V263: $i,V261: $i,V260: $i,V258: $i,V257: $i,V250: $i,V255: $i,V251: $i,V252: $i,V253: $i,V254: $i,V249: $i,V247: $i,V246: $i,V242: $i,V243: $i,V244: $i,V239: $i,V237: $i,V234: $i,V235: $i,V232: $i,V231: $i,V229: $i,V228: $i,V226: $i,V225: $i,V220: $i,V223: $i,V221: $i,V222: $i,V219: $i,V217: $i,V216: $i,V212: $i,V213: $i,V214: $i,V209: $i,V207: $i,V204: $i,V205: $i,V202: $i,V201: $i,V199: $i,V198: $i,V196: $i,V195: $i,V190: $i,V193: $i,V191: $i,V192: $i,V189: $i,V187: $i,V186: $i,V182: $i,V183: $i,V184: $i,V179: $i,V177: $i,V174: $i,V175: $i,V172: $i,V171: $i,V169: $i,V168: $i,V166: $i,V165: $i,V160: $i,V163: $i,V161: $i,V162: $i,V159: $i,V155: $i,V156: $i,V157: $i,V152: $i,V149: $i,V150: $i,V147: $i,V146: $i,V141: $i,V144: $i,V142: $i,V143: $i,V140: $i,V137: $i,V138: $i,V135: $i,V134: $i] :
      ( ( ~ ( p @ V124 )
        | ~ ( p @ V125 )
        | ~ ( p @ V60 )
        | ~ ( p @ V320 ) )
      & ( ( p @ V187 )
        | ~ ( p @ V186 ) )
      & ( ( p @ V153 )
        | ~ ( p @ V469 ) )
      & ( ( p @ V219 )
        | ( p @ V26 )
        | ( p @ V27 )
        | ( p @ V28 ) )
      & ( ( p @ V400 )
        | ~ ( p @ V399 ) )
      & ( ( p @ V131 )
        | ( p @ V415 ) )
      & ( ~ ( p @ V408 )
        | ( p @ V128 )
        | ~ ( p @ V129 ) )
      & ( ~ ( p @ V111 )
        | ~ ( p @ V112 )
        | ~ ( p @ V138 )
        | ~ ( p @ V2 ) )
      & ( ~ ( p @ V206 )
        | ~ ( p @ V203 )
        | ~ ( p @ V210 )
        | ~ ( p @ V200 )
        | ~ ( p @ V197 )
        | ~ ( p @ V464 )
        | ( p @ V465 )
        | ~ ( p @ V194 )
        | ~ ( p @ V211 )
        | ~ ( p @ V208 )
        | ~ ( p @ V188 ) )
      & ( ~ ( p @ V131 )
        | ~ ( p @ V435 )
        | ~ ( p @ V130 ) )
      & ( ( p @ V303 )
        | ~ ( p @ V302 ) )
      & ( ~ ( p @ V189 )
        | ~ ( p @ V18 ) )
      & ( ( p @ V438 )
        | ( p @ V100 ) )
      & ( ( p @ V284 )
        | ~ ( p @ V288 )
        | ( p @ V287 ) )
      & ( ( p @ V17 )
        | ( p @ V183 ) )
      & ( ( p @ V212 )
        | ( p @ V28 ) )
      & ( ~ ( p @ V248 )
        | ( p @ V247 )
        | ( p @ V59 ) )
      & ( ( p @ V414 )
        | ~ ( p @ V130 ) )
      & ( ( p @ V31 )
        | ( p @ V226 ) )
      & ( ~ ( p @ V140 )
        | ( p @ V141 ) )
      & ( ( p @ V61 )
        | ( p @ V60 )
        | ( p @ V62 )
        | ( p @ V325 ) )
      & ( ( p @ V370 )
        | ~ ( p @ V369 ) )
      & ( ~ ( p @ V329 )
        | ( p @ V327 ) )
      & ( ( p @ V209 )
        | ( p @ V116 ) )
      & ( ~ ( p @ V89 )
        | ( p @ V382 )
        | ~ ( p @ V86 ) )
      & ( ( p @ V444 )
        | ( p @ V101 ) )
      & ( ~ ( p @ V403 )
        | ( p @ V404 ) )
      & ( ~ ( p @ V178 )
        | ( p @ V177 )
        | ( p @ V24 ) )
      & ( ( p @ V312 )
        | ~ ( p @ V310 ) )
      & ( ~ ( p @ V204 )
        | ~ ( p @ V115 )
        | ( p @ V116 ) )
      & ( ~ ( p @ V449 )
        | ( p @ V448 ) )
      & ( ( p @ V114 )
        | ( p @ V157 ) )
      & ( ~ ( p @ V421 )
        | ( p @ V422 ) )
      & ( ~ ( p @ V90 )
        | ~ ( p @ V386 )
        | ~ ( p @ V89 ) )
      & ( ~ ( p @ V186 )
        | ~ ( p @ V16 ) )
      & ( ~ ( p @ V255 )
        | ( p @ V254 ) )
      & ( ~ ( p @ V189 )
        | ~ ( p @ V16 ) )
      & ( ( p @ V22 )
        | ( p @ V190 ) )
      & ( ( p @ V128 )
        | ( p @ V388 ) )
      & ( ( p @ V366 )
        | ~ ( p @ V367 ) )
      & ( ~ ( p @ V360 )
        | ~ ( p @ V72 ) )
      & ( ( p @ V406 )
        | ~ ( p @ V405 ) )
      & ( ( p @ V74 )
        | ( p @ V73 )
        | ( p @ V72 )
        | ( p @ V363 ) )
      & ( ~ ( p @ V383 )
        | ~ ( p @ V368 )
        | ~ ( p @ V454 )
        | ( p @ V455 )
        | ~ ( p @ V386 )
        | ~ ( p @ V362 )
        | ~ ( p @ V385 )
        | ~ ( p @ V371 )
        | ~ ( p @ V380 )
        | ~ ( p @ V377 )
        | ~ ( p @ V374 ) )
      & ( ( p @ V275 )
        | ( p @ V49 ) )
      & ( ( p @ V206 )
        | ~ ( p @ V204 ) )
      & ( ( p @ V143 )
        | ~ ( p @ V10 ) )
      & ( ( p @ V26 )
        | ( p @ V28 )
        | ( p @ V27 )
        | ( p @ V231 ) )
      & ( ( p @ V35 )
        | ( p @ V211 ) )
      & ( ( p @ V105 )
        | ( p @ V418 )
        | ~ ( p @ V419 ) )
      & ( ~ ( p @ V222 )
        | ~ ( p @ V42 )
        | ( p @ V223 )
        | ~ ( p @ V221 ) )
      & ( ~ ( p @ V73 )
        | ~ ( p @ V360 ) )
      & ( ~ ( p @ V418 )
        | ( p @ V419 ) )
      & ( ( p @ V293 )
        | ~ ( p @ V292 ) )
      & ( ( p @ V314 )
        | ~ ( p @ V459 ) )
      & ( ~ ( p @ V416 )
        | ( p @ V415 ) )
      & ( ~ ( p @ V125 )
        | ( p @ V347 ) )
      & ( ~ ( p @ V292 )
        | ~ ( p @ V46 ) )
      & ( ~ ( p @ V395 )
        | ( p @ V91 )
        | ( p @ V94 ) )
      & ( ~ ( p @ V283 )
        | ~ ( p @ V46 ) )
      & ( ( p @ V114 )
        | ~ ( p @ V174 )
        | ~ ( p @ V113 ) )
      & ( ~ ( p @ V36 )
        | ~ ( p @ V263 ) )
      & ( ( p @ V357 )
        | ( p @ V73 ) )
      & ( ~ ( p @ V23 )
        | ( p @ V170 ) )
      & ( ~ ( p @ V311 )
        | ( p @ V312 ) )
      & ( ~ ( p @ V254 )
        | ( p @ V52 )
        | ( p @ V48 ) )
      & ( ~ ( p @ V62 )
        | ( p @ V303 ) )
      & ( ( p @ V7 )
        | ( p @ V9 )
        | ( p @ V171 )
        | ( p @ V8 ) )
      & ( ( p @ V379 )
        | ~ ( p @ V90 )
        | ~ ( p @ V82 ) )
      & ( ( p @ V122 )
        | ~ ( p @ V123 )
        | ~ ( p @ V49 )
        | ( p @ V121 )
        | ~ ( p @ V275 ) )
      & ( ~ ( p @ V138 )
        | ~ ( p @ V137 )
        | ( p @ V139 ) )
      & ( ( p @ V314 )
        | ~ ( p @ V70 ) )
      & ( ~ ( p @ V316 )
        | ~ ( p @ V288 )
        | ~ ( p @ V303 )
        | ~ ( p @ V300 )
        | ~ ( p @ V294 )
        | ~ ( p @ V312 )
        | ~ ( p @ V306 )
        | ~ ( p @ V314 )
        | ~ ( p @ V458 )
        | ~ ( p @ V309 )
        | ~ ( p @ V291 )
        | ~ ( p @ V282 )
        | ( p @ V459 )
        | ~ ( p @ V297 )
        | ~ ( p @ V317 ) )
      & ( ( p @ V471 )
        | ( p @ V133 )
        | ~ ( p @ V472 ) )
      & ( ( p @ V322 )
        | ~ ( p @ V323 )
        | ~ ( p @ V69 ) )
      & ( ( p @ V70 )
        | ( p @ V317 ) )
      & ( ( p @ V355 )
        | ( p @ V81 ) )
      & ( ~ ( p @ V24 )
        | ( p @ V167 ) )
      & ( ( p @ V407 )
        | ~ ( p @ V406 ) )
      & ( ( p @ V418 )
        | ~ ( p @ V417 ) )
      & ( ~ ( p @ V126 )
        | ( p @ V127 )
        | ~ ( p @ V378 ) )
      & ( ( p @ V276 )
        | ( p @ V121 ) )
      & ( ~ ( p @ V372 )
        | ~ ( p @ V73 ) )
      & ( ~ ( p @ V262 )
        | ~ ( p @ V248 )
        | ( p @ V461 )
        | ~ ( p @ V274 )
        | ~ ( p @ V259 )
        | ~ ( p @ V460 )
        | ~ ( p @ V265 )
        | ~ ( p @ V271 )
        | ~ ( p @ V273 )
        | ~ ( p @ V256 )
        | ~ ( p @ V268 ) )
      & ( ~ ( p @ V459 )
        | ( p @ V291 ) )
      & ( ~ ( p @ V458 )
        | ( p @ V321 )
        | ( p @ V457 ) )
      & ( ( p @ V16 )
        | ( p @ V17 )
        | ( p @ V18 )
        | ( p @ V198 ) )
      & ( ~ ( p @ V163 )
        | ( p @ V161 ) )
      & ( ( p @ V362 )
        | ~ ( p @ V361 ) )
      & ( ( p @ V125 )
        | ( p @ V350 ) )
      & ( ( p @ V82 )
        | ( p @ V85 )
        | ~ ( p @ V365 ) )
      & ( ~ ( p @ V2 )
        | ~ ( p @ V146 ) )
      & ( ~ ( p @ V220 )
        | ( p @ V224 ) )
      & ( ( p @ V87 )
        | ( p @ V394 ) )
      & ( ( p @ V95 )
        | ( p @ V424 ) )
      & ( ( p @ V277 )
        | ~ ( p @ V121 ) )
      & ( ~ ( p @ V453 )
        | ( p @ V404 ) )
      & ( ( p @ V67 )
        | ~ ( p @ V308 ) )
      & ( ( p @ V157 )
        | ( p @ V7 ) )
      & ( ~ ( p @ V363 )
        | ~ ( p @ V73 ) )
      & ( ~ ( p @ V468 )
        | ( p @ V469 )
        | ~ ( p @ V151 )
        | ~ ( p @ V153 )
        | ~ ( p @ V154 )
        | ~ ( p @ V148 )
        | ~ ( p @ V145 ) )
      & ( ( p @ V458 )
        | ~ ( p @ V321 ) )
      & ( ~ ( p @ V61 )
        | ~ ( p @ V335 ) )
      & ( ( p @ V54 )
        | ( p @ V293 ) )
      & ( ( p @ V126 )
        | ( p @ V356 ) )
      & ( ( p @ V159 )
        | ( p @ V7 )
        | ( p @ V9 )
        | ( p @ V8 ) )
      & ( ( p @ V130 )
        | ( p @ V435 ) )
      & ( ( p @ V166 )
        | ( p @ V24 )
        | ~ ( p @ V167 )
        | ( p @ V23 ) )
      & ( ( p @ V147 )
        | ( p @ V8 )
        | ~ ( p @ V148 ) )
      & ( ~ ( p @ V8 )
        | ~ ( p @ V159 ) )
      & ( ( p @ V441 )
        | ~ ( p @ V108 ) )
      & ( ( p @ V269 )
        | ~ ( p @ V271 )
        | ( p @ V270 ) )
      & ( ( p @ V320 )
        | ( p @ V60 ) )
      & ( ~ ( p @ V376 )
        | ( p @ V377 ) )
      & ( ( p @ V9 )
        | ( p @ V8 )
        | ( p @ V7 )
        | ( p @ V168 ) )
      & ( ( p @ V387 )
        | ~ ( p @ V128 ) )
      & ( ( p @ V169 )
        | ( p @ V23 )
        | ~ ( p @ V170 ) )
      & ( ( p @ V369 )
        | ( p @ V72 )
        | ( p @ V74 )
        | ( p @ V73 ) )
      & ( ( p @ V93 )
        | ( p @ V430 ) )
      & ( ( p @ V118 )
        | ( p @ V239 ) )
      & ( ( p @ V41 )
        | ( p @ V258 ) )
      & ( ( p @ V59 )
        | ( p @ V274 ) )
      & ( ~ ( p @ V27 )
        | ~ ( p @ V216 ) )
      & ( ( p @ V199 )
        | ( p @ V20 ) )
      & ( ( p @ V80 )
        | ( p @ V336 )
        | ~ ( p @ V337 )
        | ( p @ V79 ) )
      & ( ~ ( p @ V126 )
        | ( p @ V357 ) )
      & ( ( p @ V265 )
        | ~ ( p @ V47 ) )
      & ( ~ ( p @ V3 )
        | ~ ( p @ V146 ) )
      & ( ( p @ V239 )
        | ( p @ V117 ) )
      & ( ( p @ V297 )
        | ~ ( p @ V69 ) )
      & ( ( p @ V63 )
        | ( p @ V345 ) )
      & ( ( p @ V181 )
        | ( p @ V24 ) )
      & ( ( p @ V396 )
        | ~ ( p @ V397 ) )
      & ( ~ ( p @ V374 )
        | ( p @ V88 )
        | ( p @ V373 ) )
      & ( ( p @ V182 )
        | ( p @ V115 ) )
      & ( ( p @ V254 )
        | ~ ( p @ V52 ) )
      & ( ~ ( p @ V28 )
        | ~ ( p @ V228 ) )
      & ( ( p @ V358 )
        | ~ ( p @ V359 ) )
      & ( ~ ( p @ V423 )
        | ( p @ V424 ) )
      & ( ( p @ V434 )
        | ~ ( p @ V432 ) )
      & ( ~ ( p @ V420 )
        | ~ ( p @ V92 ) )
      & ( ( p @ V109 )
        | ~ ( p @ V448 )
        | ( p @ V447 ) )
      & ( ( p @ V86 )
        | ~ ( p @ V382 ) )
      & ( ( p @ V355 )
        | ( p @ V80 ) )
      & ( ( p @ V71 )
        | ~ ( p @ V282 )
        | ( p @ V281 ) )
      & ( ( p @ V377 )
        | ~ ( p @ V455 ) )
      & ( ( p @ V364 )
        | ( p @ V78 ) )
      & ( ( p @ V343 )
        | ~ ( p @ V79 ) )
      & ( ~ ( p @ V457 )
        | ( p @ V330 ) )
      & ( ( p @ V263 )
        | ~ ( p @ V264 )
        | ~ ( p @ V39 ) )
      & ( ( p @ V437 )
        | ( p @ V104 ) )
      & ( ( p @ V36 )
        | ( p @ V244 ) )
      & ( ( p @ V368 )
        | ~ ( p @ V367 ) )
      & ( ( p @ V115 )
        | ~ ( p @ V116 )
        | ~ ( p @ V207 ) )
      & ( ( p @ V412 )
        | ~ ( p @ V453 ) )
      & ( ( p @ V118 )
        | ( p @ V213 ) )
      & ( ~ ( p @ V453 )
        | ( p @ V454 ) )
      & ( ~ ( p @ V48 )
        | ~ ( p @ V289 ) )
      & ( ( p @ V257 )
        | ~ ( p @ V41 )
        | ~ ( p @ V258 ) )
      & ( ~ ( p @ V112 )
        | ~ ( p @ V137 )
        | ( p @ V111 )
        | ~ ( p @ V3 ) )
      & ( ( p @ V237 )
        | ~ ( p @ V117 ) )
      & ( ~ ( p @ V263 )
        | ~ ( p @ V37 ) )
      & ( ~ ( p @ V379 )
        | ( p @ V90 ) )
      & ( ( p @ V220 )
        | ( p @ V32 ) )
      & ( ( p @ V422 )
        | ~ ( p @ V103 ) )
      & ( ~ ( p @ V231 )
        | ~ ( p @ V28 ) )
      & ( ~ ( p @ V91 )
        | ( p @ V395 ) )
      & ( ( p @ V145 )
        | ~ ( p @ V141 ) )
      & ( ~ ( p @ V311 )
        | ( p @ V70 ) )
      & ( ( p @ V387 )
        | ~ ( p @ V389 ) )
      & ( ( p @ V81 )
        | ~ ( p @ V333 ) )
      & ( ( p @ V124 )
        | ~ ( p @ V350 )
        | ~ ( p @ V125 ) )
      & ( ~ ( p @ V464 )
        | ( p @ V463 )
        | ( p @ V215 ) )
      & ( ~ ( p @ V299 )
        | ( p @ V300 ) )
      & ( ( p @ V417 )
        | ~ ( p @ V97 )
        | ~ ( p @ V418 ) )
      & ( ( p @ V316 )
        | ~ ( p @ V459 ) )
      & ( ( p @ V460 )
        | ~ ( p @ V279 ) )
      & ( ~ ( p @ V9 )
        | ~ ( p @ V159 ) )
      & ( ( p @ V80 )
        | ~ ( p @ V351 ) )
      & ( ~ ( p @ V121 )
        | ( p @ V307 ) )
      & ( ( p @ V279 )
        | ( p @ V459 )
        | ~ ( p @ V460 ) )
      & ( ~ ( p @ V77 )
        | ~ ( p @ V370 )
        | ( p @ V369 ) )
      & ( ~ ( p @ V451 )
        | ( p @ V437 ) )
      & ( ~ ( p @ V345 )
        | ( p @ V346 ) )
      & ( ~ ( p @ V81 )
        | ~ ( p @ V80 )
        | ~ ( p @ V355 ) )
      & ( ~ ( p @ V279 )
        | ( p @ V276 ) )
      & ( ( p @ V332 )
        | ( p @ V67 ) )
      & ( ( p @ V44 )
        | ~ ( p @ V235 ) )
      & ( ~ ( p @ V136 )
        | ( p @ V135 )
        | ~ ( p @ V110 ) )
      & ( ( p @ V460 )
        | ~ ( p @ V461 ) )
      & ( ~ ( p @ V149 )
        | ( p @ V111 )
        | ~ ( p @ V112 ) )
      & ( ~ ( p @ V40 )
        | ~ ( p @ V261 )
        | ( p @ V260 ) )
      & ( ~ ( p @ V287 )
        | ( p @ V285 ) )
      & ( ~ ( p @ V432 )
        | ~ ( p @ V131 )
        | ( p @ V130 ) )
      & ( ~ ( p @ V393 )
        | ( p @ V394 ) )
      & ( ( p @ V5 )
        | ~ ( p @ V135 ) )
      & ( ( p @ V158 )
        | ( p @ V467 )
        | ~ ( p @ V468 ) )
      & ( ( p @ V168 )
        | ~ ( p @ V169 )
        | ~ ( p @ V11 ) )
      & ( ( p @ V315 )
        | ( p @ V122 ) )
      & ( ( p @ V251 )
        | ~ ( p @ V255 ) )
      & ( ~ ( p @ V162 )
        | ( p @ V19 )
        | ( p @ V25 )
        | ( p @ V18 ) )
      & ( ( p @ V413 )
        | ~ ( p @ V453 ) )
      & ( ~ ( p @ V34 )
        | ( p @ V197 ) )
      & ( ( p @ V174 )
        | ~ ( p @ V114 ) )
      & ( ( p @ V286 )
        | ~ ( p @ V63 ) )
      & ( ~ ( p @ V37 )
        | ~ ( p @ V246 ) )
      & ( ( p @ V117 )
        | ( p @ V212 ) )
      & ( ( p @ V151 )
        | ~ ( p @ V469 ) )
      & ( ( p @ V207 )
        | ( p @ V34 )
        | ~ ( p @ V208 ) )
      & ( ( p @ V56 )
        | ~ ( p @ V255 ) )
      & ( ( p @ V107 )
        | ( p @ V446 ) )
      & ( ( p @ V275 )
        | ~ ( p @ V121 ) )
      & ( ( p @ V49 )
        | ( p @ V292 )
        | ( p @ V48 )
        | ( p @ V46 )
        | ( p @ V47 ) )
      & ( ~ ( p @ V82 )
        | ~ ( p @ V399 ) )
      & ( ( p @ V470 )
        | ~ ( p @ V471 ) )
      & ( ( p @ V155 )
        | ( p @ V113 ) )
      & ( ~ ( p @ V467 )
        | ( p @ V167 ) )
      & ( ( p @ V178 )
        | ~ ( p @ V177 ) )
      & ( ( p @ V102 )
        | ~ ( p @ V433 ) )
      & ( ( p @ V82 )
        | ~ ( p @ V377 )
        | ( p @ V376 ) )
      & ( ~ ( p @ V260 )
        | ~ ( p @ V36 ) )
      & ( ~ ( p @ V429 )
        | ( p @ V430 ) )
      & ( ~ ( p @ V16 )
        | ~ ( p @ V195 ) )
      & ( ~ ( p @ V73 )
        | ~ ( p @ V369 ) )
      & ( ( p @ V364 )
        | ~ ( p @ V363 ) )
      & ( ~ ( p @ V14 )
        | ~ ( p @ V15 )
        | ~ ( p @ V154 ) )
      & ( ( p @ V81 )
        | ~ ( p @ V348 ) )
      & ( ( p @ V385 )
        | ~ ( p @ V384 ) )
      & ( ( p @ V278 )
        | ( p @ V121 ) )
      & ( ~ ( p @ V35 )
        | ( p @ V192 ) )
      & ( ( p @ V319 )
        | ~ ( p @ V321 ) )
      & ( ( p @ V73 )
        | ( p @ V375 )
        | ( p @ V72 )
        | ( p @ V74 ) )
      & ( ( p @ V470 )
        | ~ ( p @ V469 ) )
      & ( ( p @ V221 )
        | ~ ( p @ V36 ) )
      & ( ~ ( p @ V47 )
        | ~ ( p @ V301 ) )
      & ( ( p @ V371 )
        | ~ ( p @ V89 ) )
      & ( ~ ( p @ V384 )
        | ~ ( p @ V127 )
        | ~ ( p @ V126 ) )
      & ( ( p @ V286 )
        | ~ ( p @ V287 ) )
      & ( ~ ( p @ V328 )
        | ( p @ V75 )
        | ( p @ V81 )
        | ( p @ V73 ) )
      & ( ~ ( p @ V280 )
        | ~ ( p @ V47 ) )
      & ( ( p @ V12 )
        | ( p @ V166 ) )
      & ( ( p @ V89 )
        | ~ ( p @ V382 ) )
      & ( ~ ( p @ V231 )
        | ~ ( p @ V26 ) )
      & ( ( p @ V202 )
        | ( p @ V19 ) )
      & ( ( p @ V29 )
        | ( p @ V232 ) )
      & ( ( p @ V153 )
        | ~ ( p @ V152 ) )
      & ( ( p @ V144 )
        | ~ ( p @ V143 )
        | ~ ( p @ V142 )
        | ~ ( p @ V13 ) )
      & ( ( p @ V324 )
        | ~ ( p @ V323 ) )
      & ( ( p @ V326 )
        | ( p @ V68 ) )
      & ( ( p @ V213 )
        | ~ ( p @ V117 ) )
      & ( ~ ( p @ V343 )
        | ( p @ V79 )
        | ( p @ V342 ) )
      & ( ~ ( p @ V457 )
        | ( p @ V334 ) )
      & ( ( p @ V183 )
        | ( p @ V116 ) )
      & ( ~ ( p @ V388 )
        | ~ ( p @ V128 )
        | ~ ( p @ V129 )
        | ~ ( p @ V82 ) )
      & ( ~ ( p @ V455 )
        | ( p @ V362 ) )
      & ( ( p @ V205 )
        | ~ ( p @ V206 )
        | ( p @ V204 ) )
      & ( ( p @ V89 )
        | ( p @ V386 ) )
      & ( ( p @ V472 )
        | ~ ( p @ V471 ) )
      & ( ( p @ V294 )
        | ~ ( p @ V459 ) )
      & ( ( p @ V337 )
        | ~ ( p @ V336 ) )
      & ( ( p @ V319 )
        | ( p @ V61 ) )
      & ( ( p @ V50 )
        | ( p @ V48 )
        | ( p @ V59 )
        | ~ ( p @ V253 ) )
      & ( ~ ( p @ V60 )
        | ( p @ V285 ) )
      & ( ( p @ V323 )
        | ( p @ V69 ) )
      & ( ( p @ V8 )
        | ( p @ V156 ) )
      & ( ( p @ V83 )
        | ( p @ V82 )
        | ( p @ V405 ) )
      & ( ( p @ V431 )
        | ~ ( p @ V430 ) )
      & ( ( p @ V176 )
        | ~ ( p @ V175 ) )
      & ( ( p @ V131 )
        | ( p @ V432 ) )
      & ( ( p @ V276 )
        | ~ ( p @ V122 ) )
      & ( ( p @ V392 )
        | ~ ( p @ V391 ) )
      & ( ~ ( p @ V463 )
        | ( p @ V462 ) )
      & ( ~ ( p @ V126 )
        | ~ ( p @ V72 )
        | ~ ( p @ V358 )
        | ~ ( p @ V127 ) )
      & ( ~ ( p @ V159 )
        | ( p @ V160 ) )
      & ( ~ ( p @ V291 )
        | ( p @ V69 )
        | ( p @ V70 )
        | ( p @ V290 ) )
      & ( ( p @ V427 )
        | ~ ( p @ V426 ) )
      & ( ( p @ V212 )
        | ~ ( p @ V118 ) )
      & ( ( p @ V66 )
        | ( p @ V336 ) )
      & ( ( p @ V458 )
        | ~ ( p @ V459 ) )
      & ( ( p @ V197 )
        | ~ ( p @ V465 ) )
      & ( ~ ( p @ V47 )
        | ~ ( p @ V283 ) )
      & ( ( p @ V256 )
        | ~ ( p @ V255 ) )
      & ( ~ ( p @ V65 )
        | ( p @ V338 )
        | ~ ( p @ V339 ) )
      & ( ~ ( p @ V99 )
        | ( p @ V392 ) )
      & ( ( p @ V412 )
        | ~ ( p @ V411 ) )
      & ( ~ ( p @ V279 )
        | ( p @ V275 ) )
      & ( ( p @ V56 )
        | ( p @ V284 ) )
      & ( ~ ( p @ V49 )
        | ~ ( p @ V283 ) )
      & ( ( p @ V91 )
        | ( p @ V92 )
        | ( p @ V423 ) )
      & ( ~ ( p @ V165 )
        | ~ ( p @ V9 ) )
      & ( ( p @ V468 )
        | ~ ( p @ V467 ) )
      & ( ~ ( p @ V283 )
        | ( p @ V284 ) )
      & ( ( p @ V71 )
        | ( p @ V62 )
        | ( p @ V293 )
        | ~ ( p @ V294 ) )
      & ( ~ ( p @ V17 )
        | ( p @ V161 ) )
      & ( ~ ( p @ V71 )
        | ( p @ V286 ) )
      & ( ~ ( p @ V57 )
        | ( p @ V259 ) )
      & ( ( p @ V453 )
        | ~ ( p @ V454 )
        | ( p @ V389 ) )
      & ( ~ ( p @ V122 )
        | ( p @ V310 ) )
      & ( ~ ( p @ V97 )
        | ( p @ V404 ) )
      & ( ~ ( p @ V298 )
        | ( p @ V299 ) )
      & ( ~ ( p @ V245 )
        | ( p @ V242 ) )
      & ( ( p @ V355 )
        | ~ ( p @ V457 ) )
      & ( ( p @ V134 )
        | ~ ( p @ V6 ) )
      & ( ( p @ V328 )
        | ~ ( p @ V81 ) )
      & ( ~ ( p @ V70 )
        | ( p @ V291 ) )
      & ( ( p @ V240 )
        | ~ ( p @ V463 ) )
      & ( ( p @ V62 )
        | ( p @ V341 )
        | ( p @ V60 )
        | ( p @ V61 ) )
      & ( ( p @ V96 )
        | ( p @ V421 ) )
      & ( ( p @ V454 )
        | ~ ( p @ V455 ) )
      & ( ~ ( p @ V28 )
        | ~ ( p @ V216 ) )
      & ( ~ ( p @ V69 )
        | ( p @ V316 ) )
      & ( ( p @ V425 )
        | ~ ( p @ V424 ) )
      & ( ~ ( p @ V420 )
        | ~ ( p @ V91 ) )
      & ( ~ ( p @ V461 )
        | ( p @ V268 ) )
      & ( ( p @ V188 )
        | ~ ( p @ V187 ) )
      & ( ~ ( p @ V140 )
        | ~ ( p @ V2 ) )
      & ( ( p @ V444 )
        | ( p @ V100 ) )
      & ( ( p @ V72 )
        | ~ ( p @ V327 )
        | ( p @ V76 ) )
      & ( ( p @ V414 )
        | ~ ( p @ V416 ) )
      & ( ~ ( p @ V470 )
        | ~ ( p @ V136 )
        | ( p @ V471 ) )
      & ( ( p @ V407 )
        | ~ ( p @ V453 ) )
      & ( ( p @ V410 )
        | ~ ( p @ V409 ) )
      & ( ( p @ V117 )
        | ~ ( p @ V237 )
        | ~ ( p @ V118 ) )
      & ( ( p @ V44 )
        | ( p @ V241 ) )
      & ( ( p @ V315 )
        | ( p @ V121 ) )
      & ( ( p @ V165 )
        | ( p @ V9 )
        | ( p @ V8 )
        | ( p @ V7 ) )
      & ( ~ ( p @ V47 )
        | ~ ( p @ V292 ) )
      & ( ( p @ V77 )
        | ( p @ V370 ) )
      & ( ( p @ V155 )
        | ~ ( p @ V114 ) )
      & ( ( p @ V230 )
        | ~ ( p @ V229 ) )
      & ( ( p @ V69 )
        | ( p @ V315 )
        | ~ ( p @ V316 ) )
      & ( ( p @ V97 )
        | ( p @ V403 )
        | ~ ( p @ V404 ) )
      & ( ( p @ V139 )
        | ~ ( p @ V470 )
        | ( p @ V469 ) )
      & ( ( p @ V398 )
        | ~ ( p @ V397 ) )
      & ( ( p @ V57 )
        | ~ ( p @ V259 )
        | ( p @ V58 )
        | ( p @ V258 ) )
      & ( ~ ( p @ V62 )
        | ~ ( p @ V338 ) )
      & ( ( p @ V243 )
        | ~ ( p @ V119 ) )
      & ( ~ ( p @ V459 )
        | ( p @ V297 ) )
      & ( ( p @ V267 )
        | ~ ( p @ V268 )
        | ( p @ V266 ) )
      & ( ( p @ V115 )
        | ( p @ V204 ) )
      & ( ( p @ V280 )
        | ~ ( p @ V57 )
        | ~ ( p @ V281 ) )
      & ( ~ ( p @ V431 )
        | ( p @ V100 )
        | ( p @ V430 ) )
      & ( ( p @ V53 )
        | ( p @ V296 ) )
      & ( ( p @ V461 )
        | ~ ( p @ V462 )
        | ( p @ V245 ) )
      & ( ~ ( p @ V363 )
        | ~ ( p @ V72 ) )
      & ( ~ ( p @ V39 )
        | ( p @ V222 ) )
      & ( ( p @ V117 )
        | ( p @ V234 ) )
      & ( ( p @ V134 )
        | ~ ( p @ V3 ) )
      & ( ( p @ V398 )
        | ~ ( p @ V394 ) )
      & ( ~ ( p @ V304 )
        | ~ ( p @ V49 ) )
      & ( ~ ( p @ V254 )
        | ~ ( p @ V56 )
        | ( p @ V255 )
        | ~ ( p @ V251 )
        | ~ ( p @ V253 )
        | ~ ( p @ V252 ) )
      & ( ~ ( p @ V24 )
        | ( p @ V178 ) )
      & ( ~ ( p @ V8 )
        | ~ ( p @ V165 ) )
      & ( ~ ( p @ V26 )
        | ~ ( p @ V118 )
        | ~ ( p @ V117 )
        | ~ ( p @ V214 ) )
      & ( ( p @ V137 )
        | ~ ( p @ V139 ) )
      & ( ~ ( p @ V429 )
        | ~ ( p @ V92 ) )
      & ( ( p @ V197 )
        | ~ ( p @ V196 ) )
      & ( ( p @ V236 )
        | ~ ( p @ V235 ) )
      & ( ( p @ V234 )
        | ~ ( p @ V236 )
        | ( p @ V235 ) )
      & ( ( p @ V222 )
        | ~ ( p @ V45 ) )
      & ( ~ ( p @ V17 )
        | ~ ( p @ V195 ) )
      & ( ~ ( p @ V392 )
        | ( p @ V391 )
        | ( p @ V99 ) )
      & ( ~ ( p @ V462 )
        | ~ ( p @ V224 )
        | ~ ( p @ V236 )
        | ~ ( p @ V218 )
        | ~ ( p @ V230 )
        | ~ ( p @ V240 )
        | ~ ( p @ V233 )
        | ~ ( p @ V227 )
        | ( p @ V463 )
        | ~ ( p @ V238 )
        | ~ ( p @ V241 ) )
      & ( p @ V473 )
      & ( ( p @ V65 )
        | ( p @ V339 ) )
      & ( ~ ( p @ V61 )
        | ~ ( p @ V341 ) )
      & ( ( p @ V456 )
        | ~ ( p @ V457 ) )
      & ( ~ ( p @ V48 )
        | ( p @ V254 ) )
      & ( ( p @ V26 )
        | ( p @ V209 )
        | ~ ( p @ V210 ) )
      & ( ~ ( p @ V223 )
        | ( p @ V222 ) )
      & ( ~ ( p @ V47 )
        | ~ ( p @ V298 ) )
      & ( ~ ( p @ V465 )
        | ( p @ V200 ) )
      & ( ( p @ V262 )
        | ~ ( p @ V261 ) )
      & ( ~ ( p @ V264 )
        | ( p @ V265 ) )
      & ( ( p @ V182 )
        | ~ ( p @ V116 ) )
      & ( ( p @ V55 )
        | ~ ( p @ V267 ) )
      & ( ( p @ V446 )
        | ( p @ V108 ) )
      & ( ( p @ V103 )
        | ( p @ V440 ) )
      & ( ~ ( p @ V308 )
        | ( p @ V60 ) )
      & ( ~ ( p @ V26 )
        | ~ ( p @ V225 ) )
      & ( ~ ( p @ V390 )
        | ( p @ V391 ) )
      & ( ( p @ V136 )
        | ~ ( p @ V471 ) )
      & ( ~ ( p @ V225 )
        | ~ ( p @ V27 ) )
      & ( ~ ( p @ V396 )
        | ( p @ V92 )
        | ( p @ V99 )
        | ( p @ V93 ) )
      & ( ( p @ V373 )
        | ( p @ V76 ) )
      & ( ~ ( p @ V246 )
        | ~ ( p @ V38 ) )
      & ( ( p @ V427 )
        | ( p @ V94 ) )
      & ( ~ ( p @ V463 )
        | ( p @ V241 ) )
      & ( ~ ( p @ V333 )
        | ( p @ V334 ) )
      & ( ~ ( p @ V226 )
        | ( p @ V227 ) )
      & ( ~ ( p @ V201 )
        | ~ ( p @ V18 ) )
      & ( ~ ( p @ V344 )
        | ( p @ V345 ) )
      & ( ~ ( p @ V20 )
        | ( p @ V161 ) )
      & ( ~ ( p @ V189 )
        | ~ ( p @ V17 ) )
      & ( ( p @ V350 )
        | ~ ( p @ V352 )
        | ( p @ V351 ) )
      & ( ( p @ V294 )
        | ~ ( p @ V293 ) )
      & ( ( p @ V129 )
        | ( p @ V388 ) )
      & ( ~ ( p @ V27 )
        | ( p @ V203 ) )
      & ( ~ ( p @ V79 )
        | ~ ( p @ V361 )
        | ( p @ V360 ) )
      & ( ~ ( p @ V457 )
        | ( p @ V346 ) )
      & ( ~ ( p @ V121 )
        | ~ ( p @ V122 )
        | ~ ( p @ V46 )
        | ~ ( p @ V123 )
        | ~ ( p @ V278 ) )
      & ( ~ ( p @ V23 )
        | ( p @ V186 )
        | ~ ( p @ V187 ) )
      & ( ~ ( p @ V24 )
        | ~ ( p @ V21 )
        | ( p @ V175 ) )
      & ( ( p @ V340 )
        | ~ ( p @ V74 ) )
      & ( ( p @ V71 )
        | ~ ( p @ V308 ) )
      & ( ( p @ V224 )
        | ~ ( p @ V223 ) )
      & ( ~ ( p @ V106 )
        | ( p @ V443 ) )
      & ( ~ ( p @ V140 )
        | ~ ( p @ V3 ) )
      & ( ~ ( p @ V32 )
        | ~ ( p @ V192 )
        | ( p @ V193 )
        | ~ ( p @ V191 ) )
      & ( ( p @ V305 )
        | ( p @ V60 )
        | ~ ( p @ V306 ) )
      & ( ( p @ V137 )
        | ~ ( p @ V111 ) )
      & ( ( p @ V220 )
        | ~ ( p @ V219 ) )
      & ( ( p @ V365 )
        | ~ ( p @ V85 ) )
      & ( ~ ( p @ V94 )
        | ( p @ V395 ) )
      & ( ( p @ V319 )
        | ~ ( p @ V124 ) )
      & ( ~ ( p @ V353 )
        | ~ ( p @ V124 )
        | ~ ( p @ V125 ) )
      & ( ~ ( p @ V304 )
        | ~ ( p @ V48 ) )
      & ( ( p @ V22 )
        | ~ ( p @ V163 ) )
      & ( ~ ( p @ V81 )
        | ~ ( p @ V72 )
        | ( p @ V333 ) )
      & ( ( p @ V332 )
        | ( p @ V333 )
        | ( p @ V77 )
        | ~ ( p @ V334 ) )
      & ( ( p @ V396 )
        | ~ ( p @ V99 ) )
      & ( ~ ( p @ V469 )
        | ( p @ V145 ) )
      & ( ~ ( p @ V315 )
        | ~ ( p @ V121 )
        | ~ ( p @ V123 )
        | ~ ( p @ V122 ) )
      & ( ( p @ V156 )
        | ~ ( p @ V158 ) )
      & ( ~ ( p @ V19 )
        | ( p @ V162 ) )
      & ( ~ ( p @ V100 )
        | ( p @ V431 ) )
      & ( ~ ( p @ V457 )
        | ( p @ V324 ) )
      & ( ~ ( p @ V74 )
        | ~ ( p @ V375 ) )
      & ( ~ ( p @ V114 )
        | ~ ( p @ V179 )
        | ~ ( p @ V113 ) )
      & ( ( p @ V222 )
        | ~ ( p @ V38 ) )
      & ( ~ ( p @ V120 )
        | ~ ( p @ V243 )
        | ~ ( p @ V37 )
        | ( p @ V119 ) )
      & ( ( p @ V186 )
        | ( p @ V18 )
        | ( p @ V16 )
        | ( p @ V17 ) )
      & ( ~ ( p @ V234 )
        | ( p @ V236 ) )
      & ( ( p @ V380 )
        | ~ ( p @ V379 ) )
      & ( ( p @ V427 )
        | ( p @ V103 )
        | ~ ( p @ V428 ) )
      & ( ( p @ V82 )
        | ( p @ V388 ) )
      & ( ( p @ V233 )
        | ~ ( p @ V463 ) )
      & ( ( p @ V81 )
        | ~ ( p @ V324 )
        | ( p @ V323 ) )
      & ( ( p @ V184 )
        | ( p @ V16 ) )
      & ( ( p @ V167 )
        | ~ ( p @ V23 ) )
      & ( ( p @ V414 )
        | ( p @ V131 ) )
      & ( ~ ( p @ V300 )
        | ( p @ V65 )
        | ( p @ V299 ) )
      & ( ( p @ V91 )
        | ( p @ V406 )
        | ~ ( p @ V407 ) )
      & ( ~ ( p @ V338 )
        | ~ ( p @ V61 ) )
      & ( ( p @ V442 )
        | ( p @ V102 ) )
      & ( ~ ( p @ V405 )
        | ~ ( p @ V82 ) )
      & ( ( p @ V120 )
        | ( p @ V243 ) )
      & ( ~ ( p @ V120 )
        | ~ ( p @ V244 )
        | ~ ( p @ V36 )
        | ~ ( p @ V119 ) )
      & ( ~ ( p @ V305 )
        | ~ ( p @ V50 )
        | ( p @ V304 ) )
      & ( ( p @ V433 )
        | ~ ( p @ V102 )
        | ~ ( p @ V104 ) )
      & ( ( p @ V384 )
        | ( p @ V126 ) )
      & ( ( p @ V276 )
        | ( p @ V48 ) )
      & ( ~ ( p @ V54 )
        | ~ ( p @ V46 )
        | ( p @ V270 )
        | ~ ( p @ V47 ) )
      & ( ( p @ V160 )
        | ( p @ V13 ) )
      & ( ( p @ V121 )
        | ( p @ V310 ) )
      & ( ( p @ V244 )
        | ( p @ V120 ) )
      & ( ~ ( p @ V48 )
        | ~ ( p @ V298 ) )
      & ( ~ ( p @ V72 )
        | ~ ( p @ V375 ) )
      & ( ~ ( p @ V356 )
        | ~ ( p @ V74 )
        | ~ ( p @ V126 )
        | ( p @ V127 ) )
      & ( ~ ( p @ V44 )
        | ~ ( p @ V45 )
        | ~ ( p @ V241 ) )
      & ( ( p @ V128 )
        | ( p @ V411 ) )
      & ( ~ ( p @ V387 )
        | ~ ( p @ V388 )
        | ( p @ V389 ) )
      & ( ( p @ V400 )
        | ( p @ V86 ) )
      & ( ~ ( p @ V263 )
        | ( p @ V264 ) )
      & ( ( p @ V17 )
        | ( p @ V18 )
        | ( p @ V16 )
        | ( p @ V189 ) )
      & ( ( p @ V386 )
        | ~ ( p @ V455 ) )
      & ( ( p @ V313 )
        | ( p @ V123 ) )
      & ( ( p @ V330 )
        | ~ ( p @ V329 ) )
      & ( ( p @ V462 )
        | ~ ( p @ V461 ) )
      & ( ( p @ V34 )
        | ~ ( p @ V205 ) )
      & ( ( p @ V288 )
        | ~ ( p @ V284 ) )
      & ( ( p @ V176 )
        | ~ ( p @ V174 ) )
      & ( ( p @ V113 )
        | ( p @ V157 ) )
      & ( ( p @ V111 )
        | ( p @ V138 ) )
      & ( ~ ( p @ V7 )
        | ~ ( p @ V171 ) )
      & ( ( p @ V390 )
        | ( p @ V83 )
        | ( p @ V82 ) )
      & ( ~ ( p @ V279 )
        | ( p @ V278 ) )
      & ( ~ ( p @ V158 )
        | ( p @ V157 ) )
      & ( ~ ( p @ V180 )
        | ~ ( p @ V181 )
        | ~ ( p @ V164 )
        | ~ ( p @ V178 )
        | ~ ( p @ V173 )
        | ( p @ V467 )
        | ~ ( p @ V466 )
        | ~ ( p @ V170 )
        | ~ ( p @ V167 )
        | ~ ( p @ V176 ) )
      & ( ~ ( p @ V132 )
        | ~ ( p @ V100 )
        | ~ ( p @ V438 ) )
      & ( ~ ( p @ V26 )
        | ~ ( p @ V219 ) )
      & ( ~ ( p @ V100 )
        | ( p @ V425 ) )
      & ( ~ ( p @ V289 )
        | ~ ( p @ V47 ) )
      & ( ~ ( p @ V38 )
        | ~ ( p @ V249 ) )
      & ( ( p @ V434 )
        | ~ ( p @ V433 ) )
      & ( ~ ( p @ V173 )
        | ( p @ V17 )
        | ( p @ V172 ) )
      & ( ~ ( p @ V327 )
        | ~ ( p @ V328 )
        | ( p @ V329 )
        | ~ ( p @ V78 ) )
      & ( ~ ( p @ V38 )
        | ~ ( p @ V263 ) )
      & ( ( p @ V112 )
        | ( p @ V152 ) )
      & ( ( p @ V170 )
        | ~ ( p @ V169 ) )
      & ( ~ ( p @ V106 )
        | ( p @ V445 ) )
      & ( ( p @ V111 )
        | ( p @ V152 ) )
      & ( ~ ( p @ V405 )
        | ~ ( p @ V83 ) )
      & ( ( p @ V383 )
        | ~ ( p @ V455 ) )
      & ( ~ ( p @ V98 )
        | ( p @ V401 ) )
      & ( ( p @ V368 )
        | ~ ( p @ V364 ) )
      & ( ~ ( p @ V415 )
        | ~ ( p @ V130 )
        | ~ ( p @ V91 )
        | ~ ( p @ V131 ) )
      & ( ~ ( p @ V451 )
        | ( p @ V436 ) )
      & ( ~ ( p @ V403 )
        | ~ ( p @ V85 )
        | ( p @ V402 ) )
      & ( ~ ( p @ V100 )
        | ~ ( p @ V442 )
        | ~ ( p @ V102 ) )
      & ( ~ ( p @ V80 )
        | ( p @ V337 ) )
      & ( ( p @ V164 )
        | ~ ( p @ V160 ) )
      & ( ( p @ V43 )
        | ~ ( p @ V230 )
        | ( p @ V229 ) )
      & ( ~ ( p @ V22 )
        | ~ ( p @ V190 )
        | ( p @ V189 ) )
      & ( ~ ( p @ V451 )
        | ( p @ V452 ) )
      & ( ( p @ V129 )
        | ( p @ V408 ) )
      & ( ~ ( p @ V17 )
        | ~ ( p @ V198 ) )
      & ( ( p @ V143 )
        | ~ ( p @ V9 ) )
      & ( ( p @ V365 )
        | ~ ( p @ V82 ) )
      & ( ( p @ V412 )
        | ~ ( p @ V98 ) )
      & ( ( p @ V376 )
        | ( p @ V75 ) )
      & ( ( p @ V221 )
        | ~ ( p @ V223 ) )
      & ( ( p @ V302 )
        | ~ ( p @ V301 ) )
      & ( ( p @ V275 )
        | ~ ( p @ V122 ) )
      & ( ( p @ V318 )
        | ~ ( p @ V125 ) )
      & ( ~ ( p @ V305 )
        | ( p @ V306 ) )
      & ( ( p @ V242 )
        | ( p @ V38 ) )
      & ( ( p @ V53 )
        | ~ ( p @ V251 )
        | ( p @ V47 ) )
      & ( ( p @ V133 )
        | ( p @ V110 ) )
      & ( ( p @ V185 )
        | ~ ( p @ V182 )
        | ~ ( p @ V183 )
        | ~ ( p @ V184 ) )
      & ( ~ ( p @ V95 )
        | ~ ( p @ V395 )
        | ( p @ V397 )
        | ~ ( p @ V396 ) )
      & ( ( p @ V23 )
        | ( p @ V187 ) )
      & ( ~ ( p @ V413 )
        | ~ ( p @ V98 )
        | ~ ( p @ V99 ) )
      & ( ( p @ V36 )
        | ( p @ V38 )
        | ( p @ V37 )
        | ( p @ V263 ) )
      & ( ( p @ V182 )
        | ( p @ V18 ) )
      & ( ( p @ V25 )
        | ( p @ V181 ) )
      & ( ~ ( p @ V64 )
        | ( p @ V285 ) )
      & ( ~ ( p @ V335 )
        | ( p @ V336 ) )
      & ( ( p @ V164 )
        | ~ ( p @ V467 ) )
      & ( ( p @ V455 )
        | ~ ( p @ V456 )
        | ( p @ V359 ) )
      & ( ( p @ V290 )
        | ~ ( p @ V289 ) )
      & ( ( p @ V383 )
        | ~ ( p @ V382 ) )
      & ( ~ ( p @ V465 )
        | ( p @ V203 ) )
      & ( ~ ( p @ V433 )
        | ( p @ V104 ) )
      & ( ( p @ V451 )
        | ~ ( p @ V452 )
        | ( p @ V416 ) )
      & ( ~ ( p @ V105 )
        | ~ ( p @ V104 )
        | ~ ( p @ V437 ) )
      & ( ~ ( p @ V273 )
        | ( p @ V58 )
        | ( p @ V272 ) )
      & ( ( p @ V466 )
        | ~ ( p @ V467 ) )
      & ( ~ ( p @ V17 )
        | ~ ( p @ V186 ) )
      & ( ( p @ V450 )
        | ~ ( p @ V449 ) )
      & ( ( p @ V269 )
        | ( p @ V120 ) )
      & ( ~ ( p @ V459 )
        | ( p @ V317 ) )
      & ( ( p @ V176 )
        | ~ ( p @ V467 ) )
      & ( ( p @ V26 )
        | ( p @ V214 ) )
      & ( ~ ( p @ V257 )
        | ~ ( p @ V36 ) )
      & ( ~ ( p @ V74 )
        | ~ ( p @ V360 ) )
      & ( ~ ( p @ V341 )
        | ( p @ V342 ) )
      & ( ( p @ V172 )
        | ~ ( p @ V171 ) )
      & ( ~ ( p @ V120 )
        | ( p @ V242 ) )
      & ( ~ ( p @ V375 )
        | ~ ( p @ V73 ) )
      & ( ~ ( p @ V49 )
        | ~ ( p @ V301 ) )
      & ( ( p @ V24 )
        | ~ ( p @ V175 ) )
      & ( ( p @ V443 )
        | ~ ( p @ V442 ) )
      & ( ( p @ V121 )
        | ~ ( p @ V277 )
        | ~ ( p @ V47 )
        | ~ ( p @ V122 )
        | ~ ( p @ V123 ) )
      & ( ~ ( p @ V409 )
        | ( p @ V98 ) )
      & ( ( p @ V58 )
        | ~ ( p @ V267 ) )
      & ( ( p @ V387 )
        | ( p @ V83 ) )
      & ( ( p @ V124 )
        | ( p @ V320 ) )
      & ( ( p @ V66 )
        | ~ ( p @ V311 ) )
      & ( ~ ( p @ V48 )
        | ~ ( p @ V301 ) )
      & ( ~ ( p @ V115 )
        | ( p @ V207 ) )
      & ( ~ ( p @ V457 )
        | ( p @ V349 ) )
      & ( ~ ( p @ V1 )
        | ~ ( p @ V133 )
        | ~ ( p @ V110 ) )
      & ( ( p @ V35 )
        | ( p @ V187 )
        | ~ ( p @ V188 ) )
      & ( ~ ( p @ V239 )
        | ( p @ V240 ) )
      & ( ( p @ V54 )
        | ~ ( p @ V270 ) )
      & ( ( p @ V29 )
        | ( p @ V28 )
        | ( p @ V35 )
        | ~ ( p @ V192 ) )
      & ( ~ ( p @ V280 )
        | ( p @ V281 ) )
      & ( ~ ( p @ V461 )
        | ( p @ V273 ) )
      & ( ( p @ V125 )
        | ( p @ V319 ) )
      & ( ~ ( p @ V389 )
        | ( p @ V454 ) )
      & ( ( p @ V349 )
        | ~ ( p @ V347 ) )
      & ( ~ ( p @ V68 )
        | ~ ( p @ V326 )
        | ( p @ V325 ) )
      & ( ( p @ V164 )
        | ~ ( p @ V163 ) )
      & ( ( p @ V436 )
        | ~ ( p @ V435 ) )
      & ( ~ ( p @ V38 )
        | ~ ( p @ V257 ) )
      & ( ( p @ V3 )
        | ( p @ V137 ) )
      & ( ( p @ V68 )
        | ~ ( p @ V287 ) )
      & ( ( p @ V62 )
        | ~ ( p @ V303 )
        | ( p @ V302 ) )
      & ( ~ ( p @ V219 )
        | ~ ( p @ V28 ) )
      & ( ~ ( p @ V128 )
        | ~ ( p @ V129 )
        | ~ ( p @ V411 ) )
      & ( ~ ( p @ V53 )
        | ( p @ V251 ) )
      & ( ~ ( p @ V451 )
        | ( p @ V425 ) )
      & ( ( p @ V415 )
        | ( p @ V130 ) )
      & ( ( p @ V465 )
        | ( p @ V185 )
        | ~ ( p @ V466 ) )
      & ( ~ ( p @ V74 )
        | ~ ( p @ V363 ) )
      & ( ~ ( p @ V357 )
        | ( p @ V126 )
        | ~ ( p @ V127 )
        | ~ ( p @ V73 ) )
      & ( ~ ( p @ V455 )
        | ( p @ V385 ) )
      & ( ( p @ V78 )
        | ~ ( p @ V329 ) )
      & ( ( p @ V49 )
        | ( p @ V280 )
        | ( p @ V47 )
        | ( p @ V46 )
        | ( p @ V48 ) )
      & ( ( p @ V426 )
        | ~ ( p @ V94 )
        | ~ ( p @ V427 ) )
      & ( ( p @ V211 )
        | ~ ( p @ V465 ) )
      & ( ~ ( p @ V459 )
        | ( p @ V306 ) )
      & ( ~ ( p @ V372 )
        | ( p @ V373 ) )
      & ( ~ ( p @ V31 )
        | ( p @ V205 )
        | ~ ( p @ V34 ) )
      & ( ~ ( p @ V331 )
        | ~ ( p @ V62 ) )
      & ( ~ ( p @ V402 )
        | ( p @ V403 ) )
      & ( ~ ( p @ V379 )
        | ( p @ V82 ) )
      & ( ( p @ V136 )
        | ( p @ V110 ) )
      & ( ( p @ V244 )
        | ( p @ V119 ) )
      & ( ( p @ V298 )
        | ~ ( p @ V52 )
        | ~ ( p @ V299 ) )
      & ( ~ ( p @ V473 )
        | ( p @ V1 ) )
      & ( ( p @ V422 )
        | ~ ( p @ V104 ) )
      & ( ~ ( p @ V58 )
        | ~ ( p @ V59 )
        | ~ ( p @ V274 ) )
      & ( ~ ( p @ V270 )
        | ( p @ V47 ) )
      & ( ( p @ V439 )
        | ~ ( p @ V107 ) )
      & ( ~ ( p @ V37 )
        | ~ ( p @ V260 ) )
      & ( ( p @ V391 )
        | ( p @ V88 ) )
      & ( ~ ( p @ V18 )
        | ~ ( p @ V186 ) )
      & ( ( p @ V352 )
        | ~ ( p @ V350 ) )
      & ( ~ ( p @ V393 )
        | ~ ( p @ V83 ) )
      & ( ( p @ V42 )
        | ~ ( p @ V223 ) )
      & ( ~ ( p @ V9 )
        | ~ ( p @ V171 ) )
      & ( ( p @ V276 )
        | ( p @ V123 ) )
      & ( ( p @ V473 )
        | ~ ( p @ V472 )
        | ~ ( p @ V1 ) )
      & ( ~ ( p @ V155 )
        | ~ ( p @ V9 )
        | ~ ( p @ V113 )
        | ( p @ V114 ) )
      & ( ( p @ V37 )
        | ( p @ V36 )
        | ( p @ V38 )
        | ( p @ V249 ) )
      & ( ( p @ V338 )
        | ( p @ V60 )
        | ( p @ V62 )
        | ( p @ V61 ) )
      & ( ( p @ V44 )
        | ~ ( p @ V227 )
        | ( p @ V226 )
        | ( p @ V43 ) )
      & ( ~ ( p @ V417 )
        | ~ ( p @ V92 ) )
      & ( ~ ( p @ V461 )
        | ( p @ V262 ) )
      & ( ~ ( p @ V467 )
        | ( p @ V180 ) )
      & ( ~ ( p @ V49 )
        | ( p @ V252 ) )
      & ( ~ ( p @ V463 )
        | ( p @ V224 ) )
      & ( ( p @ V171 )
        | ~ ( p @ V172 )
        | ~ ( p @ V10 ) )
      & ( ( p @ V84 )
        | ( p @ V90 )
        | ~ ( p @ V366 )
        | ( p @ V83 ) )
      & ( ( p @ V313 )
        | ~ ( p @ V121 ) )
      & ( ( p @ V282 )
        | ~ ( p @ V71 ) )
      & ( ( p @ V132 )
        | ( p @ V438 ) )
      & ( ( p @ V443 )
        | ~ ( p @ V449 ) )
      & ( ( p @ V9 )
        | ( p @ V155 ) )
      & ( ~ ( p @ V200 )
        | ( p @ V199 )
        | ( p @ V33 ) )
      & ( ( p @ V122 )
        | ( p @ V313 ) )
      & ( ~ ( p @ V231 )
        | ( p @ V232 ) )
      & ( ~ ( p @ V215 )
        | ( p @ V214 ) )
      & ( ( p @ V52 )
        | ( p @ V299 ) )
      & ( ~ ( p @ V465 )
        | ( p @ V194 ) )
      & ( ~ ( p @ V276 )
        | ( p @ V122 )
        | ~ ( p @ V48 )
        | ~ ( p @ V121 )
        | ~ ( p @ V123 ) )
      & ( ~ ( p @ V158 )
        | ( p @ V468 ) )
      & ( ( p @ V46 )
        | ~ ( p @ V270 ) )
      & ( ~ ( p @ V431 )
        | ~ ( p @ V434 )
        | ~ ( p @ V436 )
        | ~ ( p @ V450 )
        | ~ ( p @ V425 )
        | ~ ( p @ V422 )
        | ~ ( p @ V419 )
        | ~ ( p @ V437 )
        | ( p @ V451 )
        | ~ ( p @ V428 ) )
      & ( ( p @ V225 )
        | ~ ( p @ V31 )
        | ~ ( p @ V226 ) )
      & ( ~ ( p @ V277 )
        | ~ ( p @ V278 )
        | ~ ( p @ V276 )
        | ( p @ V279 )
        | ~ ( p @ V275 ) )
      & ( ( p @ V98 )
        | ( p @ V413 ) )
      & ( ~ ( p @ V461 )
        | ( p @ V248 ) )
      & ( ~ ( p @ V339 )
        | ( p @ V340 ) )
      & ( ~ ( p @ V166 )
        | ( p @ V167 ) )
      & ( ( p @ V91 )
        | ( p @ V92 )
        | ( p @ V426 ) )
      & ( ~ ( p @ V118 )
        | ( p @ V234 ) )
      & ( ~ ( p @ V201 )
        | ( p @ V202 ) )
      & ( ~ ( p @ V16 )
        | ~ ( p @ V201 ) )
      & ( ~ ( p @ V113 )
        | ( p @ V177 ) )
      & ( ~ ( p @ V13 )
        | ~ ( p @ V160 )
        | ( p @ V159 ) )
      & ( ( p @ V151 )
        | ~ ( p @ V149 ) )
      & ( ( p @ V209 )
        | ( p @ V115 ) )
      & ( ~ ( p @ V284 )
        | ~ ( p @ V56 )
        | ( p @ V283 ) )
      & ( ( p @ V69 )
        | ~ ( p @ V297 )
        | ( p @ V296 ) )
      & ( ( p @ V424 )
        | ( p @ V101 )
        | ( p @ V100 )
        | ~ ( p @ V425 ) )
      & ( ( p @ V256 )
        | ~ ( p @ V461 ) )
      & ( ( p @ V64 )
        | ~ ( p @ V285 )
        | ( p @ V60 ) )
      & ( ( p @ V132 )
        | ( p @ V439 ) )
      & ( ( p @ V149 )
        | ( p @ V112 ) )
      & ( ( p @ V130 )
        | ~ ( p @ V131 )
        | ~ ( p @ V92 )
        | ~ ( p @ V414 ) )
      & ( ( p @ V271 )
        | ~ ( p @ V461 ) )
      & ( ~ ( p @ V61 )
        | ~ ( p @ V331 ) )
      & ( ( p @ V57 )
        | ( p @ V49 )
        | ( p @ V58 )
        | ~ ( p @ V252 )
        | ( p @ V51 ) )
      & ( ~ ( p @ V420 )
        | ( p @ V421 ) )
      & ( ~ ( p @ V342 )
        | ( p @ V343 ) )
      & ( ( p @ V291 )
        | ~ ( p @ V290 ) )
      & ( ~ ( p @ V7 )
        | ~ ( p @ V159 ) )
      & ( ~ ( p @ V79 )
        | ( p @ V337 ) )
      & ( ( p @ V138 )
        | ( p @ V112 ) )
      & ( ( p @ V231 )
        | ~ ( p @ V232 )
        | ~ ( p @ V29 ) )
      & ( ~ ( p @ V221 )
        | ( p @ V36 )
        | ( p @ V40 ) )
      & ( ( p @ V125 )
        | ( p @ V353 ) )
      & ( ~ ( p @ V61 )
        | ~ ( p @ V325 ) )
      & ( ( p @ V306 )
        | ~ ( p @ V60 ) )
      & ( ~ ( p @ V467 )
        | ( p @ V173 ) )
      & ( ( p @ V401 )
        | ~ ( p @ V97 ) )
      & ( ( p @ V374 )
        | ~ ( p @ V88 ) )
      & ( ~ ( p @ V242 )
        | ( p @ V120 )
        | ~ ( p @ V119 )
        | ~ ( p @ V38 ) )
      & ( ( p @ V248 )
        | ~ ( p @ V247 ) )
      & ( ~ ( p @ V394 )
        | ( p @ V393 )
        | ~ ( p @ V87 ) )
      & ( ~ ( p @ V184 )
        | ~ ( p @ V115 )
        | ~ ( p @ V116 )
        | ~ ( p @ V16 ) )
      & ( ~ ( p @ V426 )
        | ~ ( p @ V92 ) )
      & ( ~ ( p @ V129 )
        | ( p @ V128 )
        | ~ ( p @ V387 )
        | ~ ( p @ V83 ) )
      & ( ( p @ V268 )
        | ~ ( p @ V267 ) )
      & ( ~ ( p @ V228 )
        | ~ ( p @ V26 ) )
      & ( ~ ( p @ V30 )
        | ( p @ V191 ) )
      & ( ( p @ V169 )
        | ~ ( p @ V168 ) )
      & ( ( p @ V208 )
        | ~ ( p @ V465 ) )
      & ( ( p @ V422 )
        | ~ ( p @ V451 ) )
      & ( ( p @ V414 )
        | ( p @ V92 ) )
      & ( ~ ( p @ V117 )
        | ~ ( p @ V118 )
        | ~ ( p @ V239 ) )
      & ( ( p @ V12 )
        | ~ ( p @ V150 ) )
      & ( ( p @ V340 )
        | ~ ( p @ V81 ) )
      & ( ( p @ V48 )
        | ( p @ V46 )
        | ( p @ V298 )
        | ( p @ V47 )
        | ( p @ V49 ) )
      & ( ~ ( p @ V330 )
        | ( p @ V329 )
        | ( p @ V326 ) )
      & ( ( p @ V123 )
        | ( p @ V307 ) )
      & ( ( p @ V16 )
        | ( p @ V18 )
        | ( p @ V195 )
        | ( p @ V17 ) )
      & ( ( p @ V376 )
        | ~ ( p @ V375 ) )
      & ( ~ ( p @ V124 )
        | ~ ( p @ V347 )
        | ( p @ V125 ) )
      & ( ~ ( p @ V82 )
        | ~ ( p @ V402 ) )
      & ( ( p @ V60 )
        | ( p @ V335 )
        | ( p @ V61 )
        | ( p @ V62 ) )
      & ( ~ ( p @ V373 )
        | ( p @ V374 ) )
      & ( ~ ( p @ V61 )
        | ~ ( p @ V344 ) )
      & ( ~ ( p @ V421 )
        | ( p @ V420 )
        | ~ ( p @ V96 ) )
      & ( ~ ( p @ V256 )
        | ( p @ V255 )
        | ( p @ V250 ) )
      & ( ~ ( p @ V44 )
        | ( p @ V238 ) )
      & ( ( p @ V381 )
        | ~ ( p @ V126 ) )
      & ( ~ ( p @ V33 )
        | ( p @ V197 ) )
      & ( ~ ( p @ V133 )
        | ( p @ V472 ) )
      & ( ( p @ V27 )
        | ( p @ V216 )
        | ( p @ V28 )
        | ( p @ V26 ) )
      & ( ( p @ V181 )
        | ~ ( p @ V467 ) )
      & ( ~ ( p @ V64 )
        | ~ ( p @ V342 )
        | ( p @ V341 ) )
      & ( ( p @ V243 )
        | ( p @ V37 ) )
      & ( ~ ( p @ V397 )
        | ( p @ V395 ) )
      & ( ~ ( p @ V465 )
        | ( p @ V464 ) )
      & ( ( p @ V456 )
        | ~ ( p @ V455 ) )
      & ( ( p @ V420 )
        | ( p @ V92 )
        | ( p @ V91 ) )
      & ( ( p @ V330 )
        | ~ ( p @ V326 ) )
      & ( ( p @ V294 )
        | ~ ( p @ V71 ) )
      & ( ( p @ V229 )
        | ~ ( p @ V228 ) )
      & ( ~ ( p @ V83 )
        | ~ ( p @ V402 ) )
      & ( ~ ( p @ V196 )
        | ( p @ V195 )
        | ~ ( p @ V21 ) )
      & ( ~ ( p @ V214 )
        | ( p @ V215 )
        | ~ ( p @ V213 )
        | ~ ( p @ V212 ) )
      & ( ~ ( p @ V446 )
        | ~ ( p @ V108 )
        | ~ ( p @ V107 ) )
      & ( ( p @ V277 )
        | ~ ( p @ V279 ) )
      & ( ~ ( p @ V26 )
        | ( p @ V210 ) )
      & ( ~ ( p @ V385 )
        | ( p @ V89 )
        | ( p @ V384 ) )
      & ( ( p @ V82 )
        | ( p @ V83 )
        | ( p @ V393 ) )
      & ( ~ ( p @ V329 )
        | ( p @ V328 ) )
      & ( ~ ( p @ V49 )
        | ~ ( p @ V292 ) )
      & ( ( p @ V172 )
        | ( p @ V10 ) )
      & ( ( p @ V419 )
        | ~ ( p @ V451 ) )
      & ( ~ ( p @ V465 )
        | ( p @ V210 ) )
      & ( ~ ( p @ V215 )
        | ( p @ V464 ) )
      & ( ( p @ V82 )
        | ( p @ V83 )
        | ( p @ V402 ) )
      & ( ~ ( p @ V367 )
        | ( p @ V365 ) )
      & ( ( p @ V116 )
        | ~ ( p @ V182 )
        | ~ ( p @ V115 )
        | ~ ( p @ V18 ) )
      & ( ( p @ V312 )
        | ~ ( p @ V459 ) )
      & ( ( p @ V392 )
        | ~ ( p @ V453 ) )
      & ( ~ ( p @ V423 )
        | ~ ( p @ V92 ) )
      & ( ( p @ V30 )
        | ~ ( p @ V191 )
        | ( p @ V27 ) )
      & ( ~ ( p @ V463 )
        | ( p @ V236 ) )
      & ( ~ ( p @ V114 )
        | ( p @ V113 )
        | ~ ( p @ V177 ) )
      & ( ( p @ V218 )
        | ~ ( p @ V45 ) )
      & ( ( p @ V286 )
        | ~ ( p @ V61 ) )
      & ( ( p @ V118 )
        | ( p @ V214 ) )
      & ( ( p @ V45 )
        | ( p @ V241 ) )
      & ( ( p @ V34 )
        | ( p @ V211 ) )
      & ( ( p @ V21 )
        | ( p @ V196 ) )
      & ( ~ ( p @ V198 )
        | ( p @ V199 ) )
      & ( ( p @ V378 )
        | ( p @ V126 ) )
      & ( ( p @ V3 )
        | ( p @ V2 )
        | ( p @ V146 ) )
      & ( ( p @ V297 )
        | ~ ( p @ V296 ) )
      & ( ( p @ V90 )
        | ( p @ V386 ) )
      & ( ( p @ V342 )
        | ( p @ V64 ) )
      & ( ( p @ V294 )
        | ~ ( p @ V62 ) )
      & ( ( p @ V190 )
        | ~ ( p @ V189 ) )
      & ( ( p @ V448 )
        | ~ ( p @ V109 ) )
      & ( ~ ( p @ V406 )
        | ( p @ V405 )
        | ~ ( p @ V84 ) )
      & ( ( p @ V200 )
        | ~ ( p @ V33 ) )
      & ( ~ ( p @ V209 )
        | ( p @ V210 ) )
      & ( ( p @ V249 )
        | ~ ( p @ V250 )
        | ~ ( p @ V42 ) )
      & ( ( p @ V332 )
        | ~ ( p @ V331 ) )
      & ( ( p @ V416 )
        | ~ ( p @ V415 )
        | ~ ( p @ V414 ) )
      & ( ( p @ V450 )
        | ~ ( p @ V451 ) )
      & ( ~ ( p @ V166 )
        | ( p @ V165 )
        | ~ ( p @ V12 ) )
      & ( ~ ( p @ V441 )
        | ( p @ V440 )
        | ( p @ V108 ) )
      & ( ~ ( p @ V332 )
        | ( p @ V334 ) )
      & ( ( p @ V129 )
        | ( p @ V411 ) )
      & ( ( p @ V295 )
        | ~ ( p @ V296 )
        | ~ ( p @ V53 ) )
      & ( ~ ( p @ V295 )
        | ~ ( p @ V47 ) )
      & ( ~ ( p @ V247 )
        | ~ ( p @ V43 )
        | ( p @ V246 ) )
      & ( ~ ( p @ V457 )
        | ( p @ V343 ) )
      & ( ~ ( p @ V265 )
        | ( p @ V47 )
        | ( p @ V264 ) )
      & ( ( p @ V70 )
        | ~ ( p @ V314 )
        | ( p @ V313 ) )
      & ( ( p @ V104 )
        | ( p @ V103 )
        | ( p @ V421 )
        | ~ ( p @ V422 ) )
      & ( ( p @ V378 )
        | ~ ( p @ V380 )
        | ( p @ V379 ) )
      & ( ~ ( p @ V455 )
        | ( p @ V371 ) )
      & ( ~ ( p @ V44 )
        | ( p @ V227 ) )
      & ( ~ ( p @ V331 )
        | ~ ( p @ V60 ) )
      & ( ( p @ V448 )
        | ~ ( p @ V447 ) )
      & ( ~ ( p @ V68 )
        | ~ ( p @ V286 )
        | ( p @ V287 )
        | ~ ( p @ V285 ) )
      & ( ~ ( p @ V257 )
        | ~ ( p @ V37 ) )
      & ( ~ ( p @ V74 )
        | ~ ( p @ V372 ) )
      & ( ~ ( p @ V48 )
        | ~ ( p @ V283 ) )
      & ( ( p @ V213 )
        | ( p @ V27 ) )
      & ( ( p @ V339 )
        | ~ ( p @ V338 ) )
      & ( ( p @ V334 )
        | ~ ( p @ V77 ) )
      & ( ~ ( p @ V37 )
        | ( p @ V240 ) )
      & ( ~ ( p @ V258 )
        | ( p @ V259 ) )
      & ( ~ ( p @ V51 )
        | ( p @ V252 ) )
      & ( ~ ( p @ V15 )
        | ( p @ V143 ) )
      & ( ~ ( p @ V319 )
        | ( p @ V321 )
        | ~ ( p @ V320 )
        | ~ ( p @ V318 ) )
      & ( ( p @ V46 )
        | ( p @ V278 ) )
      & ( ~ ( p @ V255 )
        | ( p @ V253 ) )
      & ( ( p @ V114 )
        | ( p @ V179 ) )
      & ( ~ ( p @ V62 )
        | ~ ( p @ V325 ) )
      & ( ( p @ V120 )
        | ~ ( p @ V119 )
        | ~ ( p @ V266 ) )
      & ( ( p @ V273 )
        | ~ ( p @ V58 ) )
      & ( ( p @ V113 )
        | ( p @ V174 ) )
      & ( ( p @ V204 )
        | ~ ( p @ V116 ) )
      & ( ( p @ V119 )
        | ( p @ V266 ) )
      & ( ~ ( p @ V168 )
        | ~ ( p @ V7 ) )
      & ( ~ ( p @ V62 )
        | ( p @ V125 )
        | ~ ( p @ V318 )
        | ~ ( p @ V124 ) )
      & ( ( p @ V432 )
        | ~ ( p @ V130 ) )
      & ( ~ ( p @ V158 )
        | ( p @ V155 ) )
      & ( ( p @ V192 )
        | ~ ( p @ V29 ) )
      & ( ( p @ V91 )
        | ( p @ V415 ) )
      & ( ( p @ V252 )
        | ~ ( p @ V255 ) )
      & ( ( p @ V418 )
        | ( p @ V97 ) )
      & ( ( p @ V309 )
        | ~ ( p @ V308 ) )
      & ( ( p @ V302 )
        | ( p @ V51 ) )
      & ( ~ ( p @ V144 )
        | ( p @ V143 ) )
      & ( ( p @ V119 )
        | ( p @ V272 ) )
      & ( ( p @ V38 )
        | ( p @ V260 )
        | ( p @ V36 )
        | ( p @ V37 ) )
      & ( ( p @ V41 )
        | ~ ( p @ V235 ) )
      & ( ( p @ V45 )
        | ~ ( p @ V218 )
        | ( p @ V217 ) )
      & ( ( p @ V230 )
        | ~ ( p @ V463 ) )
      & ( ( p @ V314 )
        | ~ ( p @ V313 ) )
      & ( ( p @ V85 )
        | ( p @ V403 ) )
      & ( ~ ( p @ V459 )
        | ( p @ V282 ) )
      & ( ( p @ V347 )
        | ( p @ V124 ) )
      & ( ( p @ V55 )
        | ( p @ V290 ) )
      & ( ( p @ V91 )
        | ( p @ V92 )
        | ( p @ V429 ) )
      & ( ~ ( p @ V194 )
        | ( p @ V193 )
        | ( p @ V190 ) )
      & ( ~ ( p @ V80 )
        | ( p @ V354 ) )
      & ( ~ ( p @ V127 )
        | ( p @ V126 )
        | ~ ( p @ V381 ) )
      & ( ~ ( p @ V83 )
        | ~ ( p @ V390 ) )
      & ( ( p @ V250 )
        | ~ ( p @ V249 ) )
      & ( ( p @ V357 )
        | ~ ( p @ V359 ) )
      & ( ( p @ V13 )
        | ~ ( p @ V144 ) )
      & ( ~ ( p @ V453 )
        | ( p @ V398 ) )
      & ( ( p @ V142 )
        | ~ ( p @ V8 ) )
      & ( ~ ( p @ V43 )
        | ( p @ V227 ) )
      & ( ( p @ V328 )
        | ~ ( p @ V73 ) )
      & ( ( p @ V358 )
        | ( p @ V127 ) )
      & ( ~ ( p @ V27 )
        | ( p @ V191 ) )
      & ( ~ ( p @ V357 )
        | ~ ( p @ V356 )
        | ( p @ V359 )
        | ~ ( p @ V358 ) )
      & ( ( p @ V456 )
        | ~ ( p @ V359 ) )
      & ( ( p @ V282 )
        | ~ ( p @ V281 ) )
      & ( ( p @ V256 )
        | ~ ( p @ V250 ) )
      & ( ( p @ V135 )
        | ~ ( p @ V2 )
        | ~ ( p @ V5 )
        | ~ ( p @ V134 ) )
      & ( ( p @ V277 )
        | ( p @ V122 ) )
      & ( ( p @ V191 )
        | ~ ( p @ V193 ) )
      & ( ( p @ V226 )
        | ~ ( p @ V225 ) )
      & ( ~ ( p @ V171 )
        | ~ ( p @ V8 ) )
      & ( ~ ( p @ V50 )
        | ( p @ V253 ) )
      & ( ~ ( p @ V211 )
        | ~ ( p @ V35 )
        | ~ ( p @ V34 ) )
      & ( ~ ( p @ V351 )
        | ( p @ V352 ) )
      & ( ~ ( p @ V91 )
        | ~ ( p @ V417 ) )
      & ( ~ ( p @ V89 )
        | ( p @ V385 ) )
      & ( ~ ( p @ V112 )
        | ~ ( p @ V111 )
        | ~ ( p @ V152 ) )
      & ( ~ ( p @ V322 )
        | ~ ( p @ V62 ) )
      & ( ~ ( p @ V349 )
        | ( p @ V347 )
        | ( p @ V348 ) )
      & ( ~ ( p @ V301 )
        | ~ ( p @ V46 ) )
      & ( ~ ( p @ V260 )
        | ~ ( p @ V38 ) )
      & ( ~ ( p @ V60 )
        | ~ ( p @ V341 ) )
      & ( ( p @ V441 )
        | ~ ( p @ V440 ) )
      & ( ( p @ V218 )
        | ~ ( p @ V217 ) )
      & ( ~ ( p @ V457 )
        | ( p @ V458 ) )
      & ( ( p @ V179 )
        | ~ ( p @ V180 )
        | ( p @ V16 ) )
      & ( ~ ( p @ V46 )
        | ~ ( p @ V298 ) )
      & ( ~ ( p @ V118 )
        | ~ ( p @ V27 )
        | ( p @ V117 )
        | ~ ( p @ V213 ) )
      & ( ( p @ V60 )
        | ( p @ V62 )
        | ( p @ V61 )
        | ( p @ V331 ) )
      & ( ~ ( p @ V34 )
        | ( p @ V208 ) )
      & ( ( p @ V150 )
        | ~ ( p @ V14 )
        | ~ ( p @ V12 ) )
      & ( ( p @ V466 )
        | ~ ( p @ V465 ) )
      & ( ~ ( p @ V280 )
        | ~ ( p @ V48 ) )
      & ( ~ ( p @ V295 )
        | ~ ( p @ V46 ) )
      & ( ~ ( p @ V107 )
        | ( p @ V443 ) )
      & ( ~ ( p @ V25 )
        | ~ ( p @ V181 )
        | ~ ( p @ V24 ) )
      & ( ~ ( p @ V345 )
        | ( p @ V344 )
        | ~ ( p @ V63 ) )
      & ( ( p @ V2 )
        | ~ ( p @ V135 ) )
      & ( ~ ( p @ V359 )
        | ( p @ V356 ) )
      & ( ( p @ V310 )
        | ~ ( p @ V312 )
        | ( p @ V311 ) )
      & ( ( p @ V148 )
        | ~ ( p @ V469 ) )
      & ( ~ ( p @ V335 )
        | ~ ( p @ V60 ) )
      & ( ~ ( p @ V416 )
        | ( p @ V452 ) )
      & ( ( p @ V201 )
        | ~ ( p @ V19 )
        | ~ ( p @ V202 ) )
      & ( ( p @ V31 )
        | ~ ( p @ V205 ) )
      & ( ( p @ V244 )
        | ~ ( p @ V245 ) )
      & ( ~ ( p @ V90 )
        | ( p @ V366 ) )
      & ( ~ ( p @ V404 )
        | ~ ( p @ V392 )
        | ~ ( p @ V452 )
        | ~ ( p @ V407 )
        | ~ ( p @ V413 )
        | ~ ( p @ V398 )
        | ~ ( p @ V412 )
        | ( p @ V453 )
        | ~ ( p @ V410 )
        | ~ ( p @ V401 ) )
      & ( ( p @ V14 )
        | ( p @ V154 ) )
      & ( ( p @ V381 )
        | ( p @ V127 ) )
      & ( ~ ( p @ V346 )
        | ( p @ V72 )
        | ( p @ V345 ) )
      & ( ~ ( p @ V237 )
        | ( p @ V238 ) )
      & ( ~ ( p @ V103 )
        | ( p @ V428 ) )
      & ( ( p @ V417 )
        | ( p @ V92 )
        | ( p @ V91 ) )
      & ( ~ ( p @ V459 )
        | ( p @ V303 ) )
      & ( ( p @ V221 )
        | ~ ( p @ V40 ) )
      & ( ~ ( p @ V330 )
        | ~ ( p @ V354 )
        | ~ ( p @ V324 )
        | ~ ( p @ V334 )
        | ~ ( p @ V349 )
        | ~ ( p @ V352 )
        | ( p @ V457 )
        | ~ ( p @ V337 )
        | ~ ( p @ V346 )
        | ~ ( p @ V355 )
        | ~ ( p @ V343 )
        | ~ ( p @ V340 )
        | ~ ( p @ V456 ) )
      & ( ~ ( p @ V35 )
        | ( p @ V188 ) )
      & ( ( p @ V48 )
        | ( p @ V289 )
        | ( p @ V47 )
        | ( p @ V49 )
        | ( p @ V46 ) )
      & ( ( p @ V367 )
        | ~ ( p @ V368 )
        | ( p @ V364 ) )
      & ( ~ ( p @ V30 )
        | ~ ( p @ V229 )
        | ( p @ V228 ) )
      & ( ( p @ V326 )
        | ~ ( p @ V325 ) )
      & ( ~ ( p @ V41 )
        | ~ ( p @ V44 )
        | ( p @ V235 ) )
      & ( ~ ( p @ V185 )
        | ( p @ V184 ) )
      & ( ~ ( p @ V280 )
        | ~ ( p @ V49 ) )
      & ( ~ ( p @ V49 )
        | ~ ( p @ V295 ) )
      & ( ~ ( p @ V193 )
        | ( p @ V32 ) )
      & ( ( p @ V123 )
        | ( p @ V315 ) )
      & ( ( p @ V28 )
        | ( p @ V27 )
        | ( p @ V225 )
        | ( p @ V26 ) )
      & ( ( p @ V201 )
        | ( p @ V16 )
        | ( p @ V17 )
        | ( p @ V18 ) )
      & ( ( p @ V390 )
        | ~ ( p @ V391 )
        | ~ ( p @ V88 ) )
      & ( ~ ( p @ V81 )
        | ( p @ V324 ) )
      & ( ( p @ V383 )
        | ~ ( p @ V381 ) )
      & ( ( p @ V3 )
        | ( p @ V6 )
        | ( p @ V4 )
        | ~ ( p @ V134 ) )
      & ( ( p @ V267 )
        | ~ ( p @ V55 )
        | ~ ( p @ V58 ) )
      & ( ( p @ V265 )
        | ~ ( p @ V461 ) )
      & ( ~ ( p @ V18 )
        | ( p @ V162 ) )
      & ( ( p @ V207 )
        | ( p @ V116 ) )
      & ( ( p @ V60 )
        | ( p @ V61 )
        | ( p @ V322 )
        | ( p @ V62 ) )
      & ( ( p @ V261 )
        | ( p @ V40 ) )
      & ( ~ ( p @ V207 )
        | ( p @ V208 ) )
      & ( ( p @ V358 )
        | ( p @ V126 ) )
      & ( ( p @ V271 )
        | ~ ( p @ V269 ) )
      & ( ~ ( p @ V341 )
        | ~ ( p @ V62 ) )
      & ( ~ ( p @ V48 )
        | ~ ( p @ V292 ) )
      & ( ( p @ V278 )
        | ( p @ V123 ) )
      & ( ( p @ V262 )
        | ~ ( p @ V57 ) )
      & ( ~ ( p @ V135 )
        | ( p @ V136 ) )
      & ( ( p @ V72 )
        | ( p @ V358 ) )
      & ( ( p @ V119 )
        | ( p @ V242 ) )
      & ( ( p @ V175 )
        | ~ ( p @ V176 )
        | ( p @ V174 ) )
      & ( ~ ( p @ V165 )
        | ~ ( p @ V7 ) )
      & ( ( p @ V444 )
        | ~ ( p @ V445 )
        | ( p @ V106 ) )
      & ( ~ ( p @ V289 )
        | ~ ( p @ V46 ) )
      & ( ~ ( p @ V77 )
        | ~ ( p @ V80 )
        | ( p @ V351 ) )
      & ( ~ ( p @ V459 )
        | ( p @ V309 ) )
      & ( ~ ( p @ V260 )
        | ( p @ V261 ) )
      & ( ~ ( p @ V463 )
        | ( p @ V218 ) )
      & ( ~ ( p @ V179 )
        | ( p @ V180 ) )
      & ( ( p @ V378 )
        | ~ ( p @ V127 ) )
      & ( ~ ( p @ V72 )
        | ~ ( p @ V81 )
        | ( p @ V348 ) )
      & ( ( p @ V83 )
        | ( p @ V399 )
        | ( p @ V82 ) )
      & ( ( p @ V320 )
        | ~ ( p @ V321 ) )
      & ( ~ ( p @ V451 )
        | ( p @ V431 ) )
      & ( ~ ( p @ V216 )
        | ( p @ V217 ) )
      & ( ( p @ V90 )
        | ~ ( p @ V362 )
        | ( p @ V361 ) )
      & ( ~ ( p @ V157 )
        | ~ ( p @ V113 )
        | ~ ( p @ V114 )
        | ~ ( p @ V7 ) )
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        | ( p @ V3 )
        | ( p @ V140 ) )
      & ( ~ ( p @ V91 )
        | ~ ( p @ V423 ) )
      & ( ( p @ V146 )
        | ~ ( p @ V4 )
        | ~ ( p @ V147 ) )
      & ( ~ ( p @ V467 )
        | ( p @ V178 ) )
      & ( ( p @ V328 )
        | ~ ( p @ V75 ) )
      & ( ~ ( p @ V93 )
        | ( p @ V429 )
        | ~ ( p @ V430 ) )
      & ( ~ ( p @ V215 )
        | ( p @ V212 ) )
      & ( ~ ( p @ V87 )
        | ~ ( p @ V365 )
        | ( p @ V367 )
        | ~ ( p @ V366 ) )
      & ( ( p @ V79 )
        | ( p @ V361 ) )
      & ( ( p @ V142 )
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        | ( p @ V396 ) )
      & ( ( p @ V196 )
        | ( p @ V34 )
        | ( p @ V33 )
        | ~ ( p @ V197 ) )
      & ( ~ ( p @ V193 )
        | ( p @ V194 ) )
      & ( ~ ( p @ V116 )
        | ~ ( p @ V209 )
        | ~ ( p @ V115 ) )
      & ( ( p @ V399 )
        | ~ ( p @ V400 )
        | ~ ( p @ V86 ) )
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        | ~ ( p @ V122 )
        | ~ ( p @ V313 )
        | ( p @ V121 ) )
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      & ( ~ ( p @ V393 )
        | ~ ( p @ V82 ) )
      & ( ( p @ V39 )
        | ( p @ V45 )
        | ~ ( p @ V222 )
        | ( p @ V38 ) )
      & ( ( p @ V158 )
        | ~ ( p @ V155 )
        | ~ ( p @ V156 )
        | ~ ( p @ V157 ) )
      & ( ( p @ V62 )
        | ( p @ V344 )
        | ( p @ V60 )
        | ( p @ V61 ) )
      & ( ( p @ V371 )
        | ~ ( p @ V370 ) )
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        | ~ ( p @ V72 ) )
      & ( ( p @ V464 )
        | ~ ( p @ V463 ) )
      & ( ~ ( p @ V163 )
        | ( p @ V162 ) )
      & ( ~ ( p @ V49 )
        | ~ ( p @ V298 ) )
      & ( ( p @ V42 )
        | ( p @ V250 ) )
      & ( ( p @ V214 )
        | ( p @ V117 ) )
      & ( ( p @ V428 )
        | ~ ( p @ V427 ) )
      & ( ( p @ V15 )
        | ( p @ V154 ) )
      & ( ( p @ V288 )
        | ~ ( p @ V287 ) )
      & ( ~ ( p @ V224 )
        | ( p @ V223 )
        | ( p @ V220 ) )
      & ( ( p @ V11 )
        | ~ ( p @ V142 )
        | ( p @ V8 ) )
      & ( ( p @ V37 )
        | ( p @ V36 )
        | ( p @ V38 )
        | ( p @ V257 ) )
      & ( ( p @ V138 )
        | ( p @ V2 ) )
      & ( ( p @ V446 )
        | ~ ( p @ V449 ) )
      & ( ~ ( p @ V104 )
        | ( p @ V436 ) )
      & ( ~ ( p @ V62 )
        | ~ ( p @ V344 ) )
      & ( ( p @ V125 )
        | ( p @ V320 ) )
      & ( ( p @ V74 )
        | ( p @ V356 ) )
      & ( ( p @ V363 )
        | ~ ( p @ V364 )
        | ~ ( p @ V78 ) )
      & ( ( p @ V123 )
        | ( p @ V277 ) )
      & ( ~ ( p @ V165 )
        | ( p @ V166 ) )
      & ( ( p @ V428 )
        | ~ ( p @ V451 ) )
      & ( ( p @ V217 )
        | ( p @ V33 ) )
      & ( ( p @ V145 )
        | ~ ( p @ V144 ) )
      & ( ( p @ V261 )
        | ~ ( p @ V262 )
        | ( p @ V57 ) )
      & ( ~ ( p @ V246 )
        | ( p @ V247 ) )
      & ( ( p @ V396 )
        | ~ ( p @ V92 ) )
      & ( ( p @ V115 )
        | ( p @ V184 ) )
      & ( ( p @ V259 )
        | ~ ( p @ V461 ) )
      & ( ( p @ V337 )
        | ~ ( p @ V457 ) )
      & ( ~ ( p @ V465 )
        | ( p @ V206 ) )
      & ( ~ ( p @ V249 )
        | ~ ( p @ V37 ) )
      & ( ~ ( p @ V54 )
        | ( p @ V292 )
        | ~ ( p @ V293 ) )
      & ( ~ ( p @ V295 )
        | ~ ( p @ V48 ) )
      & ( ~ ( p @ V348 )
        | ( p @ V349 ) )
      & ( ~ ( p @ V369 )
        | ~ ( p @ V74 ) )
      & ( ( p @ V116 )
        | ( p @ V184 ) )
      & ( ~ ( p @ V205 )
        | ( p @ V206 ) )
      & ( ( p @ V259 )
        | ~ ( p @ V58 ) )
      & ( ( p @ V281 )
        | ( p @ V57 ) )
      & ( ~ ( p @ V150 )
        | ( p @ V151 ) )
      & ( ( p @ V300 )
        | ~ ( p @ V459 ) )
      & ( ~ ( p @ V8 )
        | ( p @ V113 )
        | ~ ( p @ V114 )
        | ~ ( p @ V156 ) )
      & ( ( p @ V466 )
        | ~ ( p @ V185 ) )
      & ( ~ ( p @ V168 )
        | ~ ( p @ V9 ) )
      & ( ( p @ V7 )
        | ( p @ V152 )
        | ~ ( p @ V153 ) )
      & ( ~ ( p @ V383 )
        | ( p @ V381 )
        | ( p @ V382 ) )
      & ( ( p @ V77 )
        | ~ ( p @ V351 ) )
      & ( ~ ( p @ V228 )
        | ~ ( p @ V27 ) )
      & ( ~ ( p @ V91 )
        | ( p @ V407 ) )
      & ( ~ ( p @ V409 )
        | ( p @ V96 ) )
      & ( ~ ( p @ V145 )
        | ( p @ V141 )
        | ( p @ V144 ) )
      & ( ~ ( p @ V231 )
        | ~ ( p @ V27 ) )
      & ( ~ ( p @ V36 )
        | ~ ( p @ V249 ) )
      & ( ~ ( p @ V408 )
        | ( p @ V410 ) )
      & ( ~ ( p @ V203 )
        | ( p @ V27 )
        | ( p @ V202 ) )
      & ( ~ ( p @ V59 )
        | ( p @ V248 ) )
      & ( ( p @ V441 )
        | ~ ( p @ V449 ) )
      & ( ( p @ V264 )
        | ( p @ V39 ) )
      & ( ~ ( p @ V378 )
        | ( p @ V380 ) )
      & ( ~ ( p @ V340 )
        | ( p @ V74 )
        | ( p @ V81 )
        | ( p @ V339 ) )
      & ( ( p @ V36 )
        | ( p @ V38 )
        | ( p @ V37 )
        | ( p @ V246 ) )
      & ( ~ ( p @ V70 )
        | ~ ( p @ V71 )
        | ~ ( p @ V317 ) )
      & ( ~ ( p @ V333 )
        | ( p @ V72 ) )
      & ( ( p @ V462 )
        | ~ ( p @ V245 ) )
      & ( ~ ( p @ V372 )
        | ~ ( p @ V72 ) )
      & ( ( p @ V142 )
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      & ( ( p @ V133 )
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      & ( ( p @ V357 )
        | ( p @ V127 ) )
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      & ( ( p @ V47 )
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        | ( p @ V49 )
        | ( p @ V48 )
        | ( p @ V46 ) )
      & ( ( p @ V309 )
        | ~ ( p @ V307 ) )
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        | ( p @ V147 ) )
      & ( ~ ( p @ V183 )
        | ~ ( p @ V17 )
        | ( p @ V115 )
        | ~ ( p @ V116 ) )
      & ( ( p @ V356 )
        | ~ ( p @ V127 ) )
      & ( ~ ( p @ V242 )
        | ( p @ V245 )
        | ~ ( p @ V243 )
        | ~ ( p @ V244 ) )
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        | ( p @ V366 ) )
      & ( ( p @ V43 )
        | ( p @ V247 ) )
      & ( ~ ( p @ V295 )
        | ( p @ V296 ) )
      & ( ( p @ V198 )
        | ~ ( p @ V199 )
        | ~ ( p @ V20 ) )
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        | ~ ( p @ V16 ) )
      & ( ( p @ V366 )
        | ~ ( p @ V83 ) )
      & ( ( p @ V163 )
        | ( p @ V160 )
        | ~ ( p @ V164 ) )
      & ( ~ ( p @ V463 )
        | ( p @ V227 ) )
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        | ( p @ V188 ) )
      & ( ~ ( p @ V125 )
        | ~ ( p @ V319 )
        | ( p @ V124 )
        | ~ ( p @ V61 ) )
      & ( ~ ( p @ V33 )
        | ( p @ V216 )
        | ~ ( p @ V217 ) )
      & ( ( p @ V305 )
        | ~ ( p @ V304 ) )
      & ( ( p @ V129 )
        | ( p @ V387 ) )
      & ( ~ ( p @ V28 )
        | ~ ( p @ V225 ) )
      & ( ( p @ V99 )
        | ( p @ V413 ) )
      & ( ~ ( p @ V119 )
        | ~ ( p @ V272 )
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        | ~ ( p @ V28 )
        | ~ ( p @ V117 )
        | ~ ( p @ V212 ) )
      & ( ( p @ V408 )
        | ( p @ V409 )
        | ~ ( p @ V410 ) )
      & ( ( p @ V192 )
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        | ( p @ V72 ) )
      & ( ~ ( p @ V90 )
        | ( p @ V362 ) )
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        | ( p @ V138 ) )
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        | ( p @ V134 ) )
      & ( ( p @ V375 )
        | ~ ( p @ V75 )
        | ~ ( p @ V376 ) )
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        | ( p @ V237 )
        | ( p @ V44 ) )
      & ( ~ ( p @ V457 )
        | ( p @ V354 ) )
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        | ~ ( p @ V18 ) )
      & ( ~ ( p @ V321 )
        | ( p @ V318 ) )
      & ( ~ ( p @ V36 )
        | ( p @ V233 ) )
      & ( ~ ( p @ V220 )
        | ~ ( p @ V32 )
        | ( p @ V219 ) )
      & ( ~ ( p @ V286 )
        | ( p @ V71 )
        | ( p @ V63 )
        | ( p @ V61 ) )
      & ( ~ ( p @ V161 )
        | ( p @ V20 )
        | ( p @ V17 ) )
      & ( ( p @ V153 )
        | ~ ( p @ V7 ) )
      & ( ~ ( p @ V111 )
        | ( p @ V149 ) )
      & ( ( p @ V308 )
        | ~ ( p @ V309 )
        | ( p @ V307 ) )
      & ( ~ ( p @ V336 )
        | ~ ( p @ V66 )
        | ( p @ V335 ) )
      & ( ~ ( p @ V390 )
        | ~ ( p @ V82 ) )
      & ( ~ ( p @ V168 )
        | ~ ( p @ V8 ) )
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        | ( p @ V183 ) )
      & ( ( p @ V268 )
        | ~ ( p @ V266 ) )
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        | ~ ( p @ V195 ) )
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        | ( p @ V95 ) )
      & ( ~ ( p @ V60 )
        | ~ ( p @ V344 ) )
      & ( ( p @ V409 )
        | ~ ( p @ V98 )
        | ~ ( p @ V96 ) )
      & ( ~ ( p @ V315 )
        | ( p @ V316 ) )
      & ( ( p @ V439 )
        | ~ ( p @ V449 ) )
      & ( ( p @ V88 )
        | ( p @ V370 )
        | ( p @ V89 )
        | ~ ( p @ V371 ) )
      & ( ( p @ V253 )
        | ~ ( p @ V48 ) )
      & ( ~ ( p @ V101 )
        | ~ ( p @ V100 )
        | ~ ( p @ V444 ) )
      & ( ( p @ V352 )
        | ~ ( p @ V457 ) )
      & ( ~ ( p @ V51 )
        | ( p @ V301 )
        | ~ ( p @ V302 ) )
      & ( ( p @ V274 )
        | ~ ( p @ V461 ) )
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        | ( p @ V340 ) )
      & ( ( p @ V432 )
        | ( p @ V433 )
        | ~ ( p @ V434 ) )
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        | ~ ( p @ V444 ) )
      & ( ( p @ V331 )
        | ~ ( p @ V67 )
        | ~ ( p @ V332 ) )
      & ( ( p @ V384 )
        | ( p @ V127 ) )
      & ( ( p @ V107 )
        | ~ ( p @ V443 )
        | ( p @ V442 )
        | ( p @ V106 ) )
      & ( ( p @ V114 )
        | ( p @ V177 ) )
      & ( ( p @ V253 )
        | ~ ( p @ V59 ) )
      & ( ( p @ V80 )
        | ~ ( p @ V354 )
        | ( p @ V353 ) )
      & ( ~ ( p @ V322 )
        | ~ ( p @ V60 ) )
      & ( ( p @ V406 )
        | ( p @ V84 ) )
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      & ( ( p @ V118 )
        | ( p @ V237 ) )
      & ( ~ ( p @ V280 )
        | ~ ( p @ V46 ) )
      & ( ( p @ V410 )
        | ~ ( p @ V453 ) )
      & ( ( p @ V311 )
        | ~ ( p @ V66 )
        | ~ ( p @ V70 ) )
      & ( ( p @ V460 )
        | ~ ( p @ V459 ) )
      & ( ~ ( p @ V76 )
        | ( p @ V327 ) )
      & ( ( p @ V149 )
        | ~ ( p @ V151 )
        | ( p @ V150 ) )
      & ( ~ ( p @ V119 )
        | ( p @ V269 ) )
      & ( ( p @ V305 )
        | ( p @ V50 ) )
      & ( ( p @ V98 )
        | ( p @ V411 )
        | ~ ( p @ V412 ) )
      & ( ~ ( p @ V101 )
        | ( p @ V425 ) )
      & ( ( p @ V301 )
        | ( p @ V49 )
        | ( p @ V46 )
        | ( p @ V48 )
        | ( p @ V47 ) )
      & ( ( p @ V449 )
        | ~ ( p @ V445 )
        | ~ ( p @ V439 )
        | ~ ( p @ V446 )
        | ~ ( p @ V441 )
        | ~ ( p @ V448 )
        | ~ ( p @ V443 ) )
      & ( ( p @ V148 )
        | ~ ( p @ V8 ) )
      & ( ~ ( p @ V16 )
        | ( p @ V180 ) )
      & ( ( p @ V258 )
        | ~ ( p @ V257 ) )
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        | ( p @ V10 )
        | ( p @ V15 )
        | ( p @ V9 ) )
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        | ~ ( p @ V5 ) )
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        | ( p @ V394 )
        | ( p @ V397 ) )
      & ( ~ ( p @ V338 )
        | ~ ( p @ V60 ) )
      & ( ( p @ V291 )
        | ~ ( p @ V69 ) )
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        | ( p @ V252 ) )
      & ( ~ ( p @ V233 )
        | ( p @ V36 )
        | ( p @ V232 ) )
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        | ( p @ V252 ) )
      & ( ( p @ V238 )
        | ~ ( p @ V463 ) )
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        | ~ ( p @ V453 ) )
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        | ( p @ V21 ) )
      & ( ( p @ V48 )
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        | ( p @ V283 )
        | ( p @ V47 )
        | ( p @ V49 ) )
      & ( ~ ( p @ V120 )
        | ( p @ V266 ) )
      & ( ( p @ V368 )
        | ~ ( p @ V455 ) )
      & ( ( p @ V100 )
        | ( p @ V440 ) )
      & ( ( p @ V87 )
        | ~ ( p @ V367 ) )
      & ( ( p @ V318 )
        | ( p @ V62 ) )
      & ( ( p @ V120 )
        | ( p @ V272 ) )
      & ( ( p @ V169 )
        | ( p @ V11 ) )
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        | ( p @ V401 ) )
      & ( ( p @ V361 )
        | ~ ( p @ V360 ) )
      & ( ( p @ V196 )
        | ~ ( p @ V195 ) )
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        | ~ ( p @ V190 ) )
      & ( ~ ( p @ V95 )
        | ( p @ V423 )
        | ~ ( p @ V424 ) )
      & ( ( p @ V350 )
        | ~ ( p @ V124 ) )
      & ( ~ ( p @ V162 )
        | ( p @ V163 )
        | ~ ( p @ V22 )
        | ~ ( p @ V161 ) )
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        | ( p @ V46 )
        | ( p @ V304 )
        | ( p @ V47 )
        | ( p @ V48 ) )
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        | ( p @ V468 ) )
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        | ( p @ V372 )
        | ~ ( p @ V76 ) )
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        | ( p @ V134 ) )
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        | ( p @ V100 ) )
      & ( ( p @ V275 )
        | ( p @ V123 ) )
      & ( ( p @ V437 )
        | ( p @ V105 ) )
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        | ~ ( p @ V17 ) )
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        | ~ ( p @ V28 ) )
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        | ( p @ V307 ) )
      & ( ~ ( p @ V270 )
        | ( p @ V271 ) )
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        | ( p @ V243 ) )
      & ( ( p @ V14 )
        | ~ ( p @ V150 ) )
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        | ( p @ V72 )
        | ( p @ V73 )
        | ( p @ V372 ) )
      & ( ( p @ V308 )
        | ~ ( p @ V67 )
        | ~ ( p @ V60 )
        | ~ ( p @ V71 ) )
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        | ~ ( p @ V61 ) )
      & ( ( p @ V470 )
        | ~ ( p @ V139 ) )
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        | ~ ( p @ V46 ) )
      & ( ( p @ V274 )
        | ( p @ V58 ) )
      & ( ( p @ V137 )
        | ( p @ V112 ) )
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        | ~ ( p @ V310 )
        | ( p @ V122 )
        | ~ ( p @ V123 ) )
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        | ( p @ V317 ) )
      & ( ( p @ V251 )
        | ~ ( p @ V47 ) )
      & ( ( p @ V118 )
        | ~ ( p @ V234 )
        | ~ ( p @ V117 ) )
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        | ( p @ V162 ) )
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        | ( p @ V229 ) )
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        | ( p @ V230 ) )
      & ( ( p @ V213 )
        | ~ ( p @ V215 ) )
      & ( ( p @ V374 )
        | ~ ( p @ V455 ) )
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        | ( p @ V141 ) )
      & ( ( p @ V183 )
        | ~ ( p @ V185 ) )
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        | ( p @ V228 )
        | ( p @ V28 ) )
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        | ( p @ V154 ) )
      & ( ( p @ V318 )
        | ( p @ V124 ) )
      & ( ~ ( p @ V17 )
        | ( p @ V173 ) )
      & ( ~ ( p @ V83 )
        | ~ ( p @ V399 ) )
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      & ( ( p @ V124 )
        | ( p @ V353 ) )
      & ( ~ ( p @ V72 )
        | ( p @ V327 ) )
      & ( ( p @ V114 )
        | ( p @ V156 ) )
      & ( ~ ( p @ V91 )
        | ~ ( p @ V429 ) )
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        | ( p @ V354 ) )
      & ( ~ ( p @ V88 )
        | ( p @ V371 ) )
      & ( ~ ( p @ V389 )
        | ( p @ V388 ) )
      & ( ~ ( p @ V65 )
        | ( p @ V300 ) )
      & ( ( p @ V148 )
        | ~ ( p @ V147 ) )
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        | ( p @ V203 ) )
      & ( ( p @ V182 )
        | ~ ( p @ V185 ) )
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        | ~ ( p @ V439 )
        | ( p @ V107 ) )
      & ( ~ ( p @ V290 )
        | ~ ( p @ V55 )
        | ( p @ V289 ) )
      & ( ~ ( p @ V467 )
        | ( p @ V170 ) )
      & ( ( p @ V233 )
        | ~ ( p @ V232 ) )
      & ( ( p @ V122 )
        | ( p @ V278 ) )
      & ( ~ ( p @ V269 )
        | ( p @ V119 )
        | ~ ( p @ V120 ) )
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        | ( p @ V380 ) )
      & ( ~ ( p @ V26 )
        | ~ ( p @ V216 ) )
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        | ( p @ V73 )
        | ( p @ V360 )
        | ( p @ V74 ) )
      & ( ( p @ V377 )
        | ~ ( p @ V82 ) )
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        | ( p @ V346 ) )
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        | ( p @ V435 )
        | ( p @ V104 ) )
      & ( ( p @ V277 )
        | ( p @ V47 ) )
      & ( ~ ( p @ V240 )
        | ( p @ V239 )
        | ( p @ V37 ) )
      & ( ~ ( p @ V335 )
        | ~ ( p @ V62 ) )
      & ( ( p @ V288 )
        | ~ ( p @ V459 ) )
      & ( ( p @ V310 )
        | ( p @ V123 ) )
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        | ~ ( p @ V49 ) )
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        | ( p @ V449 )
        | ~ ( p @ V450 ) )
      & ( ( p @ V408 )
        | ~ ( p @ V128 ) )
      & ( ~ ( p @ V325 )
        | ~ ( p @ V60 ) )
      & ( ~ ( p @ V426 )
        | ~ ( p @ V91 ) )
      & ( ~ ( p @ V473 )
        | ( p @ V472 ) )
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        | ~ ( p @ V219 ) )
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        | ~ ( p @ V453 ) )
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        | ~ ( p @ V440 )
        | ~ ( p @ V100 ) )
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        | ( p @ V450 ) )
      & ( ~ ( p @ V172 )
        | ( p @ V173 ) )
      & ( ~ ( p @ V105 )
        | ( p @ V419 ) )
      & ( ~ ( p @ V307 )
        | ~ ( p @ V123 )
        | ( p @ V122 )
        | ( p @ V121 ) )
      & ( ~ ( p @ V246 )
        | ~ ( p @ V36 ) )
      & ( ( p @ V98 )
        | ~ ( p @ V401 )
        | ( p @ V97 )
        | ( p @ V400 ) )
      & ( ( p @ V4 )
        | ( p @ V147 ) )
      & ( ~ ( p @ V304 )
        | ~ ( p @ V47 ) )
      & ( ( p @ V435 )
        | ( p @ V131 ) )
      & ( ~ ( p @ V449 )
        | ( p @ V445 ) )
      & ~ ( p @ false )
      & ( p @ true ) ) ).

thf(zip_derived_cl677,plain,
    ! [X0: $i] :
      ( ~ ( p @ sk__1 )
      | ~ ( p @ ( sk__3 @ X0 ) )
      | ~ ( p @ X0 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl638,plain,
    ( ~ ( p @ sk_ )
    | ( p @ sk__1 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl876,plain,
    p @ sk_,
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1240,plain,
    p @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl638,zip_derived_cl876]) ).

thf(zip_derived_cl1241,plain,
    ! [X0: $i] :
      ( ~ ( p @ ( sk__3 @ X0 ) )
      | ~ ( p @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl677,zip_derived_cl1240]) ).

thf(zip_derived_cl177,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__12 @ X0 @ X1 @ X2 ) )
      | ( p @ ( sk__447 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1230,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ X1 )
      | ~ ( p @ ( sk__447 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X1 @ X0 @ X22 ) )
      | ~ ( p @ ( sk__9 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1801,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( p @ ( sk__12 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__9 @ X0 ) )
      | ~ ( p @ X2 )
      | ~ ( p @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl177,zip_derived_cl1230]) ).

thf(zip_derived_cl223,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__23 @ X0 @ X1 @ X2 ) )
      | ( p @ ( sk__441 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 ) )
      | ( p @ ( sk__442 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl406,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__16 @ X0 @ X1 @ X2 ) )
      | ~ ( p @ ( sk__442 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2430,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__441 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__23 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__16 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl406]) ).

thf(zip_derived_cl118,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__441 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__445 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__6 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl923,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__445 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__9 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1776,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__6 @ X0 ) )
      | ~ ( p @ ( sk__441 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__9 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl923]) ).

thf(zip_derived_cl4724,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( p @ ( sk__16 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__23 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__9 @ X0 ) )
      | ~ ( p @ ( sk__6 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2430,zip_derived_cl1776]) ).

thf(zip_derived_cl818,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( p @ ( sk__13 @ X0 @ X1 @ X2 ) )
      | ( p @ ( sk__23 @ X0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl4734,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( p @ ( sk__6 @ X0 ) )
      | ~ ( p @ ( sk__9 @ X0 ) )
      | ( p @ ( sk__16 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__13 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4724,zip_derived_cl818]) ).

thf(zip_derived_cl762,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__29 @ X0 @ X1 @ X2 @ X3 @ X4 ) )
      | ( p @ ( sk__435 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl297,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__435 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X19 )
      | ~ ( p @ X18 )
      | ~ ( p @ ( sk__22 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1930,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ ( sk__29 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__22 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X4 )
      | ~ ( p @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl762,zip_derived_cl297]) ).

thf(zip_derived_cl339,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__50 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__417 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl556,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__417 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X17 )
      | ~ ( p @ X16 )
      | ~ ( p @ ( sk__40 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1954,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__50 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X6 )
      | ~ ( p @ X5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl556]) ).

thf(zip_derived_cl608,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__65 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__404 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__54 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl195,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__405 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__404 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__36 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl194,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__405 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__40 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2305,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__36 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__404 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl194]) ).

thf(zip_derived_cl2664,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ( p @ ( sk__54 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__65 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__36 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl608,zip_derived_cl2305]) ).

thf(zip_derived_cl868,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__51 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__65 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2803,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__36 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__54 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2664,zip_derived_cl868]) ).

thf(zip_derived_cl394,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__410 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__409 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl496,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__57 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ~ ( p @ ( sk__410 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__60 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2541,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__409 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl496]) ).

thf(zip_derived_cl412,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__63 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__409 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__408 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5296,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__408 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__63 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2541,zip_derived_cl412]) ).

thf(zip_derived_cl736,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__34 @ X0 @ X1 @ X2 @ X3 @ X4 ) )
      | ~ ( p @ ( sk__408 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 ) )
      | ( p @ ( sk__412 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1201,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__412 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__40 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2822,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__408 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl1201]) ).

thf(zip_derived_cl11411,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__63 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5296,zip_derived_cl2822]) ).

thf(zip_derived_cl603,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__51 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__63 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl11435,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11411,zip_derived_cl603]) ).

thf(zip_derived_cl852,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__73 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ( p @ ( sk__92 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl780,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__75 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ~ ( p @ ( sk__74 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ~ ( p @ ( sk__92 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1293,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__74 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__75 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl852,zip_derived_cl780]) ).

thf(zip_derived_cl175,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__90 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ( p @ ( sk__379 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ( p @ ( sk__75 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl916,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X0 )
      | ~ ( p @ ( sk__379 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X0 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X15 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2191,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( p @ ( sk__75 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__90 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X8 )
      | ( p @ X7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl175,zip_derived_cl916]) ).

thf(zip_derived_cl111,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( p @ ( sk__90 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ~ ( p @ ( sk__73 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2194,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( p @ X7 )
      | ~ ( p @ X8 )
      | ( p @ ( sk__75 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2191,zip_derived_cl111]) ).

thf(zip_derived_cl2207,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__74 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X8 )
      | ( p @ X7 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1293,zip_derived_cl2194]) ).

thf(zip_derived_cl2208,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( p @ X7 )
      | ~ ( p @ X8 )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__74 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2207]) ).

thf(zip_derived_cl420,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__74 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ~ ( p @ ( sk__84 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ( p @ ( sk__393 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl188,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__54 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__394 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ~ ( p @ ( sk__393 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1115,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__60 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ~ ( p @ ( sk__394 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2252,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__393 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__54 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl1115]) ).

thf(zip_derived_cl2889,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__84 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__74 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__54 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl2252]) ).

thf(zip_derived_cl306,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__73 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ( p @ ( sk__84 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3766,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__54 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__74 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2889,zip_derived_cl306]) ).

thf(zip_derived_cl4326,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X8 )
      | ( p @ X7 )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__54 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2208,zip_derived_cl3766]) ).

thf(zip_derived_cl4327,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__54 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X7 )
      | ~ ( p @ X8 )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4326]) ).

thf(zip_derived_cl1065,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__71 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__73 @ X7 @ X8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__72 @ X7 @ X8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl4329,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ X8 )
      | ( p @ X7 )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__54 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__72 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__71 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4327,zip_derived_cl1065]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__396 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__72 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl375,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ ( sk__60 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )
      | ( p @ X8 )
      | ~ ( p @ ( sk__396 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X8 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1447,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__72 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X7 )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl375]) ).

thf(zip_derived_cl4799,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__71 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__54 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X7 )
      | ~ ( p @ X8 ) ),
    inference(clc,[status(thm)],[zip_derived_cl4329,zip_derived_cl1447]) ).

thf(zip_derived_cl4800,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( p @ ( sk__71 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__54 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X7 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl4799]) ).

thf(zip_derived_cl514,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__397 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__72 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__396 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__395 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl269,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__397 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X15 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2910,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__395 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__396 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__72 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X7 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl514,zip_derived_cl269]) ).

thf(zip_derived_cl1031,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X0 )
      | ( p @ ( sk__395 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X0 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl7910,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X7 )
      | ( p @ ( sk__72 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__396 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2910,zip_derived_cl1031]) ).

thf(zip_derived_cl1082,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X0 )
      | ( p @ ( sk__396 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X0 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl7914,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( p @ ( sk__72 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X7 )
      | ( p @ X8 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7910,zip_derived_cl1082]) ).

thf(zip_derived_cl503,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__72 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ( p @ ( sk__71 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl7919,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( p @ X8 )
      | ( p @ X7 )
      | ( p @ ( sk__71 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7914,zip_derived_cl503]) ).

thf(zip_derived_cl7931,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( p @ ( sk__71 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X7 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl7919]) ).

thf(zip_derived_cl7932,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : ( p @ ( sk__71 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl7931]) ).

thf(zip_derived_cl7937,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( p @ ( sk__54 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4800,zip_derived_cl7932]) ).

thf(zip_derived_cl11480,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X7 )
      | ~ ( p @ ( sk__54 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11435,zip_derived_cl7937]) ).

thf(zip_derived_cl11482,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__54 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl11480]) ).

thf(zip_derived_cl605,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__72 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ( p @ ( sk__397 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl886,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__61 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ~ ( p @ X7 )
      | ~ ( p @ X8 )
      | ~ ( p @ ( sk__397 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X7 @ X8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2017,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__72 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X7 )
      | ~ ( p @ X8 )
      | ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl605,zip_derived_cl886]) ).

thf(zip_derived_cl342,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__57 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ~ ( p @ ( sk__384 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__385 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl552,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__385 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__61 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2841,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__384 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl342,zip_derived_cl552]) ).

thf(zip_derived_cl737,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__76 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ~ ( p @ ( sk__87 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ( p @ ( sk__384 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl4278,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__87 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__76 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2841,zip_derived_cl737]) ).

thf(zip_derived_cl419,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( p @ ( sk__87 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ~ ( p @ ( sk__73 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl4332,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( p @ ( sk__76 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4278,zip_derived_cl419]) ).

thf(zip_derived_cl1046,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__79 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ~ ( p @ ( sk__362 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ( p @ ( sk__363 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1017,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__363 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__83 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2978,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__362 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1046,zip_derived_cl1017]) ).

thf(zip_derived_cl250,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__362 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__113 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__98 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl4443,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__113 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2978,zip_derived_cl250]) ).

thf(zip_derived_cl619,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__113 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5155,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4443,zip_derived_cl619]) ).

thf(zip_derived_cl1088,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__361 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__360 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__80 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1076,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__361 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__82 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2995,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__360 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1088,zip_derived_cl1076]) ).

thf(zip_derived_cl463,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__114 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__108 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__360 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl4476,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__114 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2995,zip_derived_cl463]) ).

thf(zip_derived_cl328,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__114 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5202,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4476,zip_derived_cl328]) ).

thf(zip_derived_cl1048,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__119 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl212,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__123 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__122 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__146 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl698,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__146 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1407,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__122 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__123 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl698]) ).

thf(zip_derived_cl462,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__123 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__144 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__327 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl281,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ X1 )
      | ~ ( p @ ( sk__327 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X0 @ X1 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X11 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3490,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__144 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__123 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ X12 )
      | ~ ( p @ X13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl281]) ).

thf(zip_derived_cl1183,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__144 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl4426,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ X13 )
      | ~ ( p @ X12 )
      | ( p @ X11 )
      | ( p @ ( sk__123 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3490,zip_derived_cl1183]) ).

thf(zip_derived_cl4659,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__122 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ X12 )
      | ~ ( p @ X13 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1407,zip_derived_cl4426]) ).

thf(zip_derived_cl4660,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ X13 )
      | ~ ( p @ X12 )
      | ( p @ X11 )
      | ~ ( p @ ( sk__122 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4659]) ).

thf(zip_derived_cl898,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__350 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__98 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__349 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl998,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__350 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__108 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3070,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__349 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl998]) ).

thf(zip_derived_cl1093,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__122 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__134 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__349 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5199,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__134 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__122 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3070,zip_derived_cl1093]) ).

thf(zip_derived_cl416,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__134 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl7064,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__122 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5199,zip_derived_cl416]) ).

thf(zip_derived_cl10155,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ X12 )
      | ~ ( p @ X13 )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4660,zip_derived_cl7064]) ).

thf(zip_derived_cl10157,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ~ ( p @ X12 )
      | ( p @ X11 )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10155]) ).

thf(zip_derived_cl1057,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__120 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__119 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10161,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ X11 )
      | ~ ( p @ X12 )
      | ~ ( p @ X13 )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__119 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10157,zip_derived_cl1057]) ).

thf(zip_derived_cl512,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__353 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__120 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl686,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X0 )
      | ~ ( p @ ( sk__353 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X0 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__108 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X11 )
      | ~ ( p @ X10 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2314,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ~ ( p @ X12 )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl686]) ).

thf(zip_derived_cl11179,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__119 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ~ ( p @ X12 )
      | ( p @ X11 ) ),
    inference(clc,[status(thm)],[zip_derived_cl10161,zip_derived_cl2314]) ).

thf(zip_derived_cl11180,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ~ ( p @ ( sk__119 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ X12 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl11179]) ).

thf(zip_derived_cl11181,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__119 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl11180]) ).

thf(zip_derived_cl11182,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1048,zip_derived_cl11181]) ).

thf(zip_derived_cl11186,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5202,zip_derived_cl11182]) ).

thf(zip_derived_cl11191,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( p @ X11 )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11186]) ).

thf(zip_derived_cl11209,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5155,zip_derived_cl11191]) ).

thf(zip_derived_cl11212,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( p @ X11 )
      | ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11209]) ).

thf(zip_derived_cl357,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__377 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__94 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl792,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ ( sk__377 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X0 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__83 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X13 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2234,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__94 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X9 )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl357,zip_derived_cl792]) ).

thf(zip_derived_cl895,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__93 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__94 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl199,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__375 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__94 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__376 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__377 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl640,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__377 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X13 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2349,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__376 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__94 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__375 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl199,zip_derived_cl640]) ).

thf(zip_derived_cl314,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X0 )
      | ( p @ ( sk__375 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X0 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl6008,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X9 )
      | ( p @ ( sk__94 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__376 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2349,zip_derived_cl314]) ).

thf(zip_derived_cl793,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X0 )
      | ( p @ ( sk__376 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X0 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl6012,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__94 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ( p @ X10 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6008,zip_derived_cl793]) ).

thf(zip_derived_cl210,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__93 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ~ ( p @ ( sk__94 @ X9 @ X10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl6017,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ X10 )
      | ( p @ X9 )
      | ( p @ ( sk__93 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6012,zip_derived_cl210]) ).

thf(zip_derived_cl6029,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( p @ ( sk__93 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl6017]) ).

thf(zip_derived_cl6030,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : ( p @ ( sk__93 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl6029]) ).

thf(zip_derived_cl6032,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__94 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl895,zip_derived_cl6030]) ).

thf(zip_derived_cl5155_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4443,zip_derived_cl619]) ).

thf(zip_derived_cl1088_002,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__361 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__360 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__80 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1176,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__83 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ~ ( p @ ( sk__361 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2993,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__360 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1088,zip_derived_cl1176]) ).

thf(zip_derived_cl463_003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__114 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__108 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__360 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl4472,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__114 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2993,zip_derived_cl463]) ).

thf(zip_derived_cl328_004,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__114 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5184,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4472,zip_derived_cl328]) ).

thf(zip_derived_cl11182_005,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1048,zip_derived_cl11181]) ).

thf(zip_derived_cl11185,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5184,zip_derived_cl11182]) ).

thf(zip_derived_cl11190,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( p @ X11 )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11185]) ).

thf(zip_derived_cl11202,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5155,zip_derived_cl11190]) ).

thf(zip_derived_cl11205,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( p @ X11 )
      | ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11202]) ).

thf(zip_derived_cl11206,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( p @ ( sk__94 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6032,zip_derived_cl11205]) ).

thf(zip_derived_cl11231,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__94 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl11206]) ).

thf(zip_derived_cl11236,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ X10 )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X9 )
      | ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2234,zip_derived_cl11231]) ).

thf(zip_derived_cl11238,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X9 )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11236]) ).

thf(zip_derived_cl11240,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X9 )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl11238]) ).

thf(zip_derived_cl11241,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl11240]) ).

thf(zip_derived_cl11260,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl11212,zip_derived_cl11241]) ).

thf(zip_derived_cl11241_006,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl11240]) ).

thf(zip_derived_cl11261,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__80 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl11260,zip_derived_cl11241]) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__94 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__376 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl809,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ ( sk__376 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X0 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__82 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X13 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1521,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__94 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl809]) ).

thf(zip_derived_cl1046_007,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__79 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ~ ( p @ ( sk__362 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ( p @ ( sk__363 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl633,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__82 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ~ ( p @ ( sk__363 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2979,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__362 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1046,zip_derived_cl633]) ).

thf(zip_derived_cl250_008,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__362 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__113 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__98 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl4447,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__113 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2979,zip_derived_cl250]) ).

thf(zip_derived_cl619_009,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__113 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5161,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4447,zip_derived_cl619]) ).

thf(zip_derived_cl1126,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__356 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__116 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__357 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl600,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__109 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__357 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3718,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__116 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__356 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1126,zip_derived_cl600]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__356 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X13 )
      | ~ ( p @ X12 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10988,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__116 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ( p @ X9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3718,zip_derived_cl40]) ).

thf(zip_derived_cl576,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__116 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10992,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ X9 )
      | ~ ( p @ X10 )
      | ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10988,zip_derived_cl576]) ).

thf(zip_derived_cl1048_010,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__119 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2314_011,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ~ ( p @ X12 )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl686]) ).

thf(zip_derived_cl4660_012,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ X13 )
      | ~ ( p @ X12 )
      | ( p @ X11 )
      | ~ ( p @ ( sk__122 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4659]) ).

thf(zip_derived_cl898_013,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__350 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__98 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__349 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl134,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__350 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__109 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3066,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__349 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl134]) ).

thf(zip_derived_cl1093_014,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__122 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__134 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__349 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5171,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__134 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__122 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3066,zip_derived_cl1093]) ).

thf(zip_derived_cl416_015,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__134 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl7046,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__122 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5171,zip_derived_cl416]) ).

thf(zip_derived_cl9988,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ X12 )
      | ~ ( p @ X13 )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4660,zip_derived_cl7046]) ).

thf(zip_derived_cl9989,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ~ ( p @ X12 )
      | ( p @ X11 )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9988]) ).

thf(zip_derived_cl1057_016,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__120 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__119 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl9991,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ X11 )
      | ~ ( p @ X12 )
      | ~ ( p @ X13 )
      | ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__119 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl9989,zip_derived_cl1057]) ).

thf(zip_derived_cl10693,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ X11 )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X12 )
      | ~ ( p @ X13 )
      | ~ ( p @ ( sk__119 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ~ ( p @ X12 )
      | ( p @ X11 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2314,zip_derived_cl9991]) ).

thf(zip_derived_cl10697,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__119 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ~ ( p @ X12 )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10693]) ).

thf(zip_derived_cl10705,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__119 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ X12 )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl10697]) ).

thf(zip_derived_cl10706,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__119 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl10705]) ).

thf(zip_derived_cl10707,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1048,zip_derived_cl10706]) ).

thf(zip_derived_cl11000,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ( p @ X9 )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10992,zip_derived_cl10707]) ).

thf(zip_derived_cl11002,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ X10 )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11000]) ).

thf(zip_derived_cl11004,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ X10 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl11002]) ).

thf(zip_derived_cl1126_017,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__356 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__116 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__357 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl635,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__357 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__108 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3717,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__116 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__356 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1126,zip_derived_cl635]) ).

thf(zip_derived_cl40_018,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__356 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X13 )
      | ~ ( p @ X12 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10961,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__116 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ( p @ X9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3717,zip_derived_cl40]) ).

thf(zip_derived_cl576_019,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__116 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10965,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ X9 )
      | ~ ( p @ X10 )
      | ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10961,zip_derived_cl576]) ).

thf(zip_derived_cl11005,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ X10 )
      | ( p @ X9 )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl11004,zip_derived_cl10965]) ).

thf(zip_derived_cl11011,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ X10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5161,zip_derived_cl11005]) ).

thf(zip_derived_cl11014,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ X10 )
      | ( p @ X9 )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11011]) ).

thf(zip_derived_cl6032_020,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__94 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl895,zip_derived_cl6030]) ).

thf(zip_derived_cl11022,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ X10 )
      | ( p @ ( sk__94 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11014,zip_derived_cl6032]) ).

thf(zip_derived_cl6008_021,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X9 )
      | ( p @ ( sk__94 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__376 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2349,zip_derived_cl314]) ).

thf(zip_derived_cl524,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__376 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__82 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl6010,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__94 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6008,zip_derived_cl524]) ).

thf(zip_derived_cl11067,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__94 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ( p @ X9 )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl11022,zip_derived_cl6010]) ).

thf(zip_derived_cl6012_022,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__94 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ( p @ X10 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6008,zip_derived_cl793]) ).

thf(zip_derived_cl11068,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ( p @ ( sk__94 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl11067,zip_derived_cl6012]) ).

thf(zip_derived_cl11072,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ X10 )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ( p @ X9 )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1521,zip_derived_cl11068]) ).

thf(zip_derived_cl11075,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11072]) ).

thf(zip_derived_cl11077,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl11075]) ).

thf(zip_derived_cl11262,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl11261,zip_derived_cl11077]) ).

thf(zip_derived_cl11077_023,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl11075]) ).

thf(zip_derived_cl11263,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl11262,zip_derived_cl11077]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__91 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ( p @ ( sk__378 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ( p @ ( sk__82 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl546,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ X1 )
      | ~ ( p @ ( sk__378 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X1 @ X0 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1327,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__91 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X8 )
      | ~ ( p @ X7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl546]) ).

thf(zip_derived_cl933,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( p @ ( sk__91 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ~ ( p @ ( sk__73 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1330,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ X7 )
      | ~ ( p @ X8 )
      | ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1327,zip_derived_cl933]) ).

thf(zip_derived_cl11264,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X8 )
      | ~ ( p @ X7 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11263,zip_derived_cl1330]) ).

thf(zip_derived_cl728,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__390 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__389 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl566,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__390 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__83 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__79 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2567,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__389 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl566]) ).

thf(zip_derived_cl265,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__85 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ( p @ ( sk__389 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ( p @ ( sk__388 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5785,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__388 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__85 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2567,zip_derived_cl265]) ).

thf(zip_derived_cl170,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__388 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__55 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__392 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl759,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__61 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ~ ( p @ ( sk__392 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2173,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__388 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl759]) ).

thf(zip_derived_cl13327,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__85 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5785,zip_derived_cl2173]) ).

thf(zip_derived_cl616,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__73 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ( p @ ( sk__85 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl13341,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13327,zip_derived_cl616]) ).

thf(zip_derived_cl636,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__97 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__96 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__118 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl148,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__118 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1314,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__96 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl636,zip_derived_cl148]) ).

thf(zip_derived_cl703,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__117 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__97 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__355 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl183,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ ( sk__355 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X0 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X13 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3151,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__117 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ~ ( p @ X9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl703,zip_derived_cl183]) ).

thf(zip_derived_cl671,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__117 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3167,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ X9 )
      | ~ ( p @ X10 )
      | ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3151,zip_derived_cl671]) ).

thf(zip_derived_cl3183,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__96 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ~ ( p @ X9 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1314,zip_derived_cl3167]) ).

thf(zip_derived_cl3184,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ X9 )
      | ~ ( p @ X10 )
      | ~ ( p @ ( sk__96 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3183]) ).

thf(zip_derived_cl465,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__373 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__76 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__374 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__374 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__83 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2938,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__76 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__373 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl13]) ).

thf(zip_derived_cl1221,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__110 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__373 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__96 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl4368,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__76 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__96 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__110 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2938,zip_derived_cl1221]) ).

thf(zip_derived_cl595,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__110 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5115,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__96 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__76 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4368,zip_derived_cl595]) ).

thf(zip_derived_cl5317,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ~ ( p @ X9 )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__76 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3184,zip_derived_cl5115]) ).

thf(zip_derived_cl5318,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__76 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X9 )
      | ~ ( p @ X10 )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5317]) ).

thf(zip_derived_cl895_024,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__93 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__94 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5320,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ X10 )
      | ~ ( p @ X9 )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__76 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__94 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__93 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5318,zip_derived_cl895]) ).

thf(zip_derived_cl2234_025,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__94 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X9 )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl357,zip_derived_cl792]) ).

thf(zip_derived_cl5416,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__93 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__76 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X9 )
      | ~ ( p @ X10 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5320,zip_derived_cl2234]) ).

thf(zip_derived_cl5417,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( p @ ( sk__93 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__76 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X9 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl5416]) ).

thf(zip_derived_cl5418,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__93 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__76 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl5417]) ).

thf(zip_derived_cl6030_026,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : ( p @ ( sk__93 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl6029]) ).

thf(zip_derived_cl6035,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__76 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5418,zip_derived_cl6030]) ).

thf(zip_derived_cl13485,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__76 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13341,zip_derived_cl6035]) ).

thf(zip_derived_cl13762,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ X7 )
      | ~ ( p @ X8 )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__76 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11264,zip_derived_cl13485]) ).

thf(zip_derived_cl13763,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__76 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X8 )
      | ~ ( p @ X7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl13762]) ).

thf(zip_derived_cl13773,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X7 )
      | ~ ( p @ X8 )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4332,zip_derived_cl13763]) ).

thf(zip_derived_cl13779,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X8 )
      | ~ ( p @ X7 )
      | ~ ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl13773]) ).

thf(zip_derived_cl1065_027,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__71 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__73 @ X7 @ X8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__72 @ X7 @ X8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl7932_028,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : ( p @ ( sk__71 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl7931]) ).

thf(zip_derived_cl7933,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( p @ ( sk__73 @ X7 @ X8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__72 @ X7 @ X8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1065,zip_derived_cl7932]) ).

thf(zip_derived_cl13789,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X7 )
      | ~ ( p @ X8 )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__72 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13779,zip_derived_cl7933]) ).

thf(zip_derived_cl514_029,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__397 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__72 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__396 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__395 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl696,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__61 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__397 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2913,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__395 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__396 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__72 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl514,zip_derived_cl696]) ).

thf(zip_derived_cl988,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__396 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X15 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl7995,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__72 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__395 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X7 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2913,zip_derived_cl988]) ).

thf(zip_derived_cl961,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__395 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X14 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl8164,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ X7 )
      | ( p @ ( sk__72 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X8 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7995,zip_derived_cl961]) ).

thf(zip_derived_cl13791,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( p @ ( sk__72 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X8 )
      | ~ ( p @ X7 )
      | ~ ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl13789,zip_derived_cl8164]) ).

thf(zip_derived_cl13797,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X8 )
      | ~ ( p @ X7 )
      | ~ ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X7 )
      | ~ ( p @ X8 )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2017,zip_derived_cl13791]) ).

thf(zip_derived_cl13800,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X7 )
      | ~ ( p @ X8 )
      | ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl13797]) ).

thf(zip_derived_cl13804,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X7 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl13800]) ).

thf(zip_derived_cl13805,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl13804]) ).

thf(zip_derived_cl871,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__61 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__398 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ~ ( p @ ( sk__69 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl283,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ ( sk__398 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X0 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X17 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2672,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__69 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X5 )
      | ~ ( p @ X6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl871,zip_derived_cl283]) ).

thf(zip_derived_cl504,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__51 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__69 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2688,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ X6 )
      | ~ ( p @ X5 )
      | ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2672,zip_derived_cl504]) ).

thf(zip_derived_cl13806,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X5 )
      | ~ ( p @ X6 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13805,zip_derived_cl2688]) ).

thf(zip_derived_cl13814,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__54 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X6 )
      | ~ ( p @ X5 )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11482,zip_derived_cl13806]) ).

thf(zip_derived_cl13817,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X5 )
      | ~ ( p @ X6 )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__54 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl13814]) ).

thf(zip_derived_cl412_030,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__63 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__409 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__408 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl336,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__409 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__55 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3577,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__408 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__63 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl336]) ).

thf(zip_derived_cl2822_031,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__408 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl1201]) ).

thf(zip_derived_cl5384,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__63 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3577,zip_derived_cl2822]) ).

thf(zip_derived_cl603_032,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__51 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__63 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5394,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5384,zip_derived_cl603]) ).

thf(zip_derived_cl14115,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__54 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X6 )
      | ~ ( p @ X5 ) ),
    inference(clc,[status(thm)],[zip_derived_cl13817,zip_derived_cl5394]) ).

thf(zip_derived_cl14123,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__36 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X5 )
      | ~ ( p @ X6 )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2803,zip_derived_cl14115]) ).

thf(zip_derived_cl14129,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X6 )
      | ~ ( p @ X5 )
      | ~ ( p @ ( sk__36 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl14123]) ).

thf(zip_derived_cl655,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ( p @ ( sk__51 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__50 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ~ ( p @ ( sk__49 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl720,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__50 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ~ ( p @ ( sk__415 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ~ ( p @ ( sk__416 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ~ ( p @ ( sk__417 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl238,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X0 )
      | ( p @ ( sk__417 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X0 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2764,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__416 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__415 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__50 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X6 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl720,zip_derived_cl238]) ).

thf(zip_derived_cl985,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__416 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X16 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl7070,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X6 )
      | ( p @ ( sk__50 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__415 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2764,zip_derived_cl985]) ).

thf(zip_derived_cl1103,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__415 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X17 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl7074,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ( p @ ( sk__50 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X6 )
      | ( p @ X5 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7070,zip_derived_cl1103]) ).

thf(zip_derived_cl231,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ( p @ ( sk__49 @ X0 @ X1 @ X2 @ X3 @ X4 ) )
      | ~ ( p @ ( sk__50 @ X5 @ X6 @ X0 @ X1 @ X2 @ X3 @ X4 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl7079,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ( p @ X5 )
      | ( p @ X6 )
      | ( p @ ( sk__49 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7074,zip_derived_cl231]) ).

thf(zip_derived_cl7091,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( p @ ( sk__49 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X5 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl7079]) ).

thf(zip_derived_cl7092,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ( p @ ( sk__49 @ X4 @ X3 @ X2 @ X1 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl7091]) ).

thf(zip_derived_cl7093,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ( p @ ( sk__51 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__50 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl655,zip_derived_cl7092]) ).

thf(zip_derived_cl14140,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__36 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X5 )
      | ~ ( p @ X6 )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__50 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl14129,zip_derived_cl7093]) ).

thf(zip_derived_cl720_033,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__50 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ~ ( p @ ( sk__415 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ~ ( p @ ( sk__416 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ~ ( p @ ( sk__417 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl801,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__417 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__40 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2767,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__416 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__415 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__50 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl720,zip_derived_cl801]) ).

thf(zip_derived_cl161,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ( p @ ( sk__416 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X0 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl7533,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__50 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__415 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X5 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2767,zip_derived_cl161]) ).

thf(zip_derived_cl865,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__415 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X16 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl7553,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ X5 )
      | ( p @ ( sk__50 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X6 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7533,zip_derived_cl865]) ).

thf(zip_derived_cl14143,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ( p @ ( sk__50 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X6 )
      | ~ ( p @ X5 )
      | ~ ( p @ ( sk__36 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl14140,zip_derived_cl7553]) ).

thf(zip_derived_cl14149,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ X5 )
      | ~ ( p @ X6 )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__36 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X5 )
      | ~ ( p @ X6 )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1954,zip_derived_cl14143]) ).

thf(zip_derived_cl14152,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__36 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X6 )
      | ~ ( p @ X5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl14149]) ).

thf(zip_derived_cl14156,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__36 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X5 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl14152]) ).

thf(zip_derived_cl14157,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__36 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl14156]) ).

thf(zip_derived_cl377,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__418 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__47 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__40 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl811,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ ( sk__418 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X0 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X19 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2452,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__47 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X3 )
      | ~ ( p @ X4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl811]) ).

thf(zip_derived_cl618,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ ( sk__30 @ X0 @ X1 @ X2 @ X3 @ X4 ) )
      | ( p @ ( sk__47 @ X0 @ X1 @ X2 @ X3 @ X4 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2482,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ X4 )
      | ~ ( p @ X3 )
      | ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__30 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2452,zip_derived_cl618]) ).

thf(zip_derived_cl14158,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ ( sk__36 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__30 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X3 )
      | ~ ( p @ X4 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl14157,zip_derived_cl2482]) ).

thf(zip_derived_cl1150,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__429 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__430 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl168,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__430 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__36 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__39 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2611,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__429 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__36 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1150,zip_derived_cl168]) ).

thf(zip_derived_cl192,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__429 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__428 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__41 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2618,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__36 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__41 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__428 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2611,zip_derived_cl192]) ).

thf(zip_derived_cl587,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__16 @ X0 @ X1 @ X2 ) )
      | ~ ( p @ ( sk__428 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 ) )
      | ( p @ ( sk__432 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl570,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__22 @ X0 @ X1 @ X2 ) )
      | ~ ( p @ ( sk__432 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2714,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__428 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__16 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__22 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl587,zip_derived_cl570]) ).

thf(zip_derived_cl6128,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ ( sk__41 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__36 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__22 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__16 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2618,zip_derived_cl2714]) ).

thf(zip_derived_cl711,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( p @ ( sk__41 @ X0 @ X1 @ X2 @ X3 @ X4 ) )
      | ~ ( p @ ( sk__30 @ X0 @ X1 @ X2 @ X3 @ X4 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl6135,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ ( sk__16 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__22 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__36 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__30 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6128,zip_derived_cl711]) ).

thf(zip_derived_cl1954_034,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__50 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X6 )
      | ~ ( p @ X5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl556]) ).

thf(zip_derived_cl13806_035,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X5 )
      | ~ ( p @ X6 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13805,zip_derived_cl2688]) ).

thf(zip_derived_cl5296_036,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__408 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__63 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2541,zip_derived_cl412]) ).

thf(zip_derived_cl736_037,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__34 @ X0 @ X1 @ X2 @ X3 @ X4 ) )
      | ~ ( p @ ( sk__408 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 ) )
      | ( p @ ( sk__412 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl846,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__412 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__39 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2821,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__408 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl846]) ).

thf(zip_derived_cl11410,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__63 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5296,zip_derived_cl2821]) ).

thf(zip_derived_cl603_038,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__51 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__63 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl11417,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11410,zip_derived_cl603]) ).

thf(zip_derived_cl2017_039,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__72 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X7 )
      | ~ ( p @ X8 )
      | ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl605,zip_derived_cl886]) ).

thf(zip_derived_cl1330_040,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ X7 )
      | ~ ( p @ X8 )
      | ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1327,zip_derived_cl933]) ).

thf(zip_derived_cl1314_041,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__96 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl636,zip_derived_cl148]) ).

thf(zip_derived_cl1126_042,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__356 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__116 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__357 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl674,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__101 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__357 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3719,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__116 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__356 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1126,zip_derived_cl674]) ).

thf(zip_derived_cl40_043,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__356 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X13 )
      | ~ ( p @ X12 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl11121,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__116 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ( p @ X9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3719,zip_derived_cl40]) ).

thf(zip_derived_cl576_044,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__116 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl11125,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ X9 )
      | ~ ( p @ X10 )
      | ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11121,zip_derived_cl576]) ).

thf(zip_derived_cl1202,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__367 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__371 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1172,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__371 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__103 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__107 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2613,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__367 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1202,zip_derived_cl1172]) ).

thf(zip_derived_cl532,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__111 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__367 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__366 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl7113,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__366 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__111 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2613,zip_derived_cl532]) ).

thf(zip_derived_cl475,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__372 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__366 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__77 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl221,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__83 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ~ ( p @ ( sk__372 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2946,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__366 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl221]) ).

thf(zip_derived_cl16408,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__111 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7113,zip_derived_cl2946]) ).

thf(zip_derived_cl581,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__111 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl16415,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl16408,zip_derived_cl581]) ).

thf(zip_derived_cl1052,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__120 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__352 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl602,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__352 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X10 )
      | ~ ( p @ ( sk__107 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X11 )
      | ~ ( p @ X9 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2356,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ~ ( p @ X11 )
      | ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1052,zip_derived_cl602]) ).

thf(zip_derived_cl363,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__328 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__143 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__329 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl681,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__127 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__329 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3468,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__143 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__328 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl681]) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ ( sk__328 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X0 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X11 )
      | ~ ( p @ X10 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10123,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__143 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ( p @ X12 )
      | ~ ( p @ X11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3468,zip_derived_cl74]) ).

thf(zip_derived_cl499,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__143 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10127,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ X11 )
      | ( p @ X12 )
      | ~ ( p @ X13 )
      | ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10123,zip_derived_cl499]) ).

thf(zip_derived_cl936,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__170 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ~ ( p @ ( sk__149 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1053,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__150 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ~ ( p @ ( sk__151 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ~ ( p @ ( sk__170 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1655,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__151 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl936,zip_derived_cl1053]) ).

thf(zip_derived_cl1100,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__299 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__172 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl965,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ ( sk__159 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) )
      | ~ ( p @ ( sk__299 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) )
      | ~ ( p @ X22 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2408,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__172 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X17 )
      | ~ ( p @ ( sk__159 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X16 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1100,zip_derived_cl965]) ).

thf(zip_derived_cl774,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( p @ ( sk__191 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ~ ( p @ ( sk__173 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1204,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__174 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ~ ( p @ ( sk__191 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ~ ( p @ ( sk__175 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1843,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__175 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__174 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl774,zip_derived_cl1204]) ).

thf(zip_derived_cl228,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__189 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ( p @ ( sk__280 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ( p @ ( sk__281 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl996,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__175 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ~ ( p @ ( sk__281 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2440,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__280 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__189 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__175 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl228,zip_derived_cl996]) ).

thf(zip_derived_cl410,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ( p @ X1 )
      | ~ ( p @ ( sk__280 @ X2 @ X3 @ X4 @ X5 @ X6 @ X0 @ X1 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl6349,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( p @ ( sk__175 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__189 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X16 )
      | ~ ( p @ X17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2440,zip_derived_cl410]) ).

thf(zip_derived_cl746,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( p @ ( sk__189 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ~ ( p @ ( sk__173 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl6352,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ X17 )
      | ( p @ X16 )
      | ( p @ ( sk__175 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6349,zip_derived_cl746]) ).

thf(zip_derived_cl510,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__190 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ( p @ ( sk__175 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ( p @ ( sk__279 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__279 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X5 )
      | ~ ( p @ X6 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3664,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( p @ ( sk__175 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__190 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X16 )
      | ~ ( p @ X17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl1001]) ).

thf(zip_derived_cl652,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__173 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ( p @ ( sk__190 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5257,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ X17 )
      | ~ ( p @ X16 )
      | ( p @ ( sk__175 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3664,zip_derived_cl652]) ).

thf(zip_derived_cl6366,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__175 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X17 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6352,zip_derived_cl5257]) ).

thf(zip_derived_cl6368,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__174 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X17 )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1843,zip_derived_cl6366]) ).

thf(zip_derived_cl6369,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ X17 )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__174 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6368]) ).

thf(zip_derived_cl841,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__152 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ~ ( p @ ( sk__295 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__296 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1197,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__296 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__159 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3247,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__295 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__152 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__159 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl841,zip_derived_cl1197]) ).

thf(zip_derived_cl298,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__174 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ~ ( p @ ( sk__183 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ( p @ ( sk__295 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5863,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__159 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__152 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__183 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__174 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3247,zip_derived_cl298]) ).

thf(zip_derived_cl983,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__173 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ( p @ ( sk__183 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl15188,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( p @ ( sk__174 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__152 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__159 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5863,zip_derived_cl983]) ).

thf(zip_derived_cl15496,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X17 )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__159 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__152 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6369,zip_derived_cl15188]) ).

thf(zip_derived_cl15497,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__152 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__159 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X17 )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15496]) ).

thf(zip_derived_cl710,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( p @ ( sk__173 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ~ ( p @ ( sk__171 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ( p @ ( sk__172 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl399,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__298 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__297 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__172 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__299 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl322,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__299 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X6 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3551,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__172 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__297 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__298 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X16 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl399,zip_derived_cl322]) ).

thf(zip_derived_cl1133,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X0 )
      | ( p @ ( sk__297 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X0 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10796,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X16 )
      | ~ ( p @ ( sk__298 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__172 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3551,zip_derived_cl1133]) ).

thf(zip_derived_cl206,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__298 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X5 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10797,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( p @ ( sk__172 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X16 )
      | ( p @ X17 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10796,zip_derived_cl206]) ).

thf(zip_derived_cl398,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( p @ ( sk__171 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ~ ( p @ ( sk__172 @ X16 @ X17 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10805,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( p @ X17 )
      | ( p @ X16 )
      | ( p @ ( sk__171 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10797,zip_derived_cl398]) ).

thf(zip_derived_cl10831,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( p @ ( sk__171 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X16 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl10805]) ).

thf(zip_derived_cl10832,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] : ( p @ ( sk__171 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl10831]) ).

thf(zip_derived_cl10834,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( p @ ( sk__173 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ( p @ ( sk__172 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl710,zip_derived_cl10832]) ).

thf(zip_derived_cl15499,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ X17 )
      | ~ ( p @ ( sk__159 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__152 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__172 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl15497,zip_derived_cl10834]) ).

thf(zip_derived_cl15514,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ X16 )
      | ~ ( p @ ( sk__159 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X17 )
      | ~ ( p @ ( sk__152 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__159 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X17 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2408,zip_derived_cl15499]) ).

thf(zip_derived_cl15516,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__152 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X17 )
      | ~ ( p @ ( sk__159 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X16 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15514]) ).

thf(zip_derived_cl15519,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ~ ( p @ ( sk__152 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X16 )
      | ~ ( p @ ( sk__159 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl15516]) ).

thf(zip_derived_cl15520,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__152 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__159 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl15519]) ).

thf(zip_derived_cl384,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__167 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__303 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__304 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl179,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__304 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__159 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3532,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__303 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__167 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__159 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl384,zip_derived_cl179]) ).

thf(zip_derived_cl538,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ ( sk__303 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X0 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X8 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10622,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__159 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__167 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X15 )
      | ~ ( p @ X14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3532,zip_derived_cl538]) ).

thf(zip_derived_cl678,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__167 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10625,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ X14 )
      | ( p @ X15 )
      | ( p @ ( sk__159 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10622,zip_derived_cl678]) ).

thf(zip_derived_cl15524,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__152 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X15 )
      | ~ ( p @ X14 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl15520,zip_derived_cl10625]) ).

thf(zip_derived_cl164,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__311 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__127 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__312 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__312 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__131 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2090,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__311 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl164,zip_derived_cl29]) ).

thf(zip_derived_cl1113,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__151 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__311 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ~ ( p @ ( sk__163 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__152 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5231,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__152 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__163 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__151 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2090,zip_derived_cl1113]) ).

thf(zip_derived_cl245,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__163 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ~ ( p @ ( sk__149 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl15661,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__151 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__152 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5231,zip_derived_cl245]) ).

thf(zip_derived_cl23128,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ X14 )
      | ( p @ X15 )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__151 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl15524,zip_derived_cl15661]) ).

thf(zip_derived_cl23132,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__151 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X15 )
      | ~ ( p @ X14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl23128]) ).

thf(zip_derived_cl845,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__301 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__168 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__302 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1059,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__151 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ~ ( p @ ( sk__302 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3779,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__168 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__301 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__151 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl845,zip_derived_cl1059]) ).

thf(zip_derived_cl1066,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X0 )
      | ~ ( p @ ( sk__301 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X0 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X8 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl12420,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__151 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__168 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X15 )
      | ( p @ X14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3779,zip_derived_cl1066]) ).

thf(zip_derived_cl150,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__168 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ~ ( p @ ( sk__149 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl12423,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ X14 )
      | ~ ( p @ X15 )
      | ( p @ ( sk__151 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12420,zip_derived_cl150]) ).

thf(zip_derived_cl139,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__151 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ~ ( p @ ( sk__169 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__300 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl824,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__300 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X8 )
      | ~ ( p @ X7 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1973,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__169 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__151 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X15 )
      | ~ ( p @ X14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl824]) ).

thf(zip_derived_cl174,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__169 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1989,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ X14 )
      | ~ ( p @ X15 )
      | ( p @ ( sk__151 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1973,zip_derived_cl174]) ).

thf(zip_derived_cl12431,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__151 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X15 ) ),
    inference(clc,[status(thm)],[zip_derived_cl12423,zip_derived_cl1989]) ).

thf(zip_derived_cl23137,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ X14 )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__151 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl23132,zip_derived_cl12431]) ).

thf(zip_derived_cl23139,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X14 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1655,zip_derived_cl23137]) ).

thf(zip_derived_cl23140,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ X14 )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl23139]) ).

thf(zip_derived_cl1163,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__322 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__321 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__124 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl385,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__322 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__131 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3239,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__321 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1163,zip_derived_cl385]) ).

thf(zip_derived_cl802,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__150 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ~ ( p @ ( sk__160 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__321 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5594,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__160 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3239,zip_derived_cl802]) ).

thf(zip_derived_cl813,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__160 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10440,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5594,zip_derived_cl813]) ).

thf(zip_derived_cl23142,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X14 )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl23140,zip_derived_cl10440]) ).

thf(zip_derived_cl23148,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X14 )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl23142]) ).

thf(zip_derived_cl172,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__148 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__323 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl433,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__131 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ X14 )
      | ~ ( p @ ( sk__323 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X14 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ X22 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2184,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__148 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X14 )
      | ( p @ X15 )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl433]) ).

thf(zip_derived_cl384_045,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__167 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__303 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__304 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1011,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__150 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ~ ( p @ ( sk__304 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3534,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__303 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__167 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl384,zip_derived_cl1011]) ).

thf(zip_derived_cl538_046,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ ( sk__303 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X0 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X8 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10638,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__167 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X15 )
      | ~ ( p @ X14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3534,zip_derived_cl538]) ).

thf(zip_derived_cl678_047,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__167 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10641,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ X14 )
      | ( p @ X15 )
      | ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10638,zip_derived_cl678]) ).

thf(zip_derived_cl23140_048,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ X14 )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl23139]) ).

thf(zip_derived_cl23145,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X15 )
      | ~ ( p @ X14 )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10641,zip_derived_cl23140]) ).

thf(zip_derived_cl23147,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X14 )
      | ( p @ X15 )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl23145]) ).

thf(zip_derived_cl1152,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__147 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__148 @ X14 @ X15 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__149 @ X14 @ X15 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl444,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__324 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__148 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__325 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__323 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl258,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X0 )
      | ( p @ ( sk__325 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X0 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3474,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__323 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__148 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__324 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X15 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl444,zip_derived_cl258]) ).

thf(zip_derived_cl670,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X0 )
      | ( p @ ( sk__324 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X0 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10217,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X15 )
      | ( p @ ( sk__148 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__323 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3474,zip_derived_cl670]) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__323 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X8 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10218,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__148 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X15 )
      | ( p @ X14 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10217,zip_derived_cl60]) ).

thf(zip_derived_cl1136,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__147 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__148 @ X14 @ X15 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10226,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ X14 )
      | ( p @ X15 )
      | ( p @ ( sk__147 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10218,zip_derived_cl1136]) ).

thf(zip_derived_cl10238,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( p @ ( sk__147 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X14 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl10226]) ).

thf(zip_derived_cl10239,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] : ( p @ ( sk__147 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl10238]) ).

thf(zip_derived_cl10240,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__148 @ X14 @ X15 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__149 @ X14 @ X15 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1152,zip_derived_cl10239]) ).

thf(zip_derived_cl23150,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ X15 )
      | ~ ( p @ X14 )
      | ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__148 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl23147,zip_derived_cl10240]) ).

thf(zip_derived_cl10218_049,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__148 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X15 )
      | ( p @ X14 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10217,zip_derived_cl60]) ).

thf(zip_derived_cl23154,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__148 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X15 ) ),
    inference(clc,[status(thm)],[zip_derived_cl23150,zip_derived_cl10218]) ).

thf(zip_derived_cl10217_050,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X15 )
      | ( p @ ( sk__148 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__323 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3474,zip_derived_cl670]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__323 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__131 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10219,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__148 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X15 )
      | ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10217,zip_derived_cl103]) ).

thf(zip_derived_cl23155,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ X15 )
      | ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__148 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl23154,zip_derived_cl10219]) ).

thf(zip_derived_cl23159,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X15 )
      | ~ ( p @ X14 )
      | ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X15 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2184,zip_derived_cl23155]) ).

thf(zip_derived_cl23162,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X14 )
      | ( p @ X15 )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl23159]) ).

thf(zip_derived_cl23164,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X14 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl23162]) ).

thf(zip_derived_cl23289,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X14 ) ),
    inference(clc,[status(thm)],[zip_derived_cl23148,zip_derived_cl23164]) ).

thf(zip_derived_cl23164_051,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X14 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl23162]) ).

thf(zip_derived_cl23290,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ~ ( p @ X14 )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl23289,zip_derived_cl23164]) ).

thf(zip_derived_cl23164_052,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X14 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl23162]) ).

thf(zip_derived_cl23291,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl23290,zip_derived_cl23164]) ).

thf(zip_derived_cl945,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__122 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__131 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__340 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__137 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl242,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__101 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__341 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__340 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl319,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__107 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__341 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2467,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__340 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl319]) ).

thf(zip_derived_cl3915,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__137 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__122 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl945,zip_derived_cl2467]) ).

thf(zip_derived_cl979,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__137 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl13545,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__122 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3915,zip_derived_cl979]) ).

thf(zip_derived_cl23295,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__127 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__122 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl23291,zip_derived_cl13545]) ).

thf(zip_derived_cl23363,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ( p @ X12 )
      | ~ ( p @ X11 )
      | ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__122 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10127,zip_derived_cl23295]) ).

thf(zip_derived_cl23364,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__122 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X11 )
      | ( p @ X12 )
      | ~ ( p @ X13 )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl23363]) ).

thf(zip_derived_cl1407_053,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__122 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__123 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl698]) ).

thf(zip_derived_cl363_054,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__328 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__143 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__329 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1069,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__329 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__123 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3466,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__143 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__328 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__123 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl1069]) ).

thf(zip_derived_cl74_055,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ ( sk__328 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X0 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X11 )
      | ~ ( p @ X10 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10087,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__123 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__143 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ( p @ X12 )
      | ~ ( p @ X11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3466,zip_derived_cl74]) ).

thf(zip_derived_cl499_056,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__143 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10091,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ X11 )
      | ( p @ X12 )
      | ~ ( p @ X13 )
      | ( p @ ( sk__123 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10087,zip_derived_cl499]) ).

thf(zip_derived_cl10102,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__122 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ( p @ X12 )
      | ~ ( p @ X11 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1407,zip_derived_cl10091]) ).

thf(zip_derived_cl10103,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ X11 )
      | ( p @ X12 )
      | ~ ( p @ X13 )
      | ~ ( p @ ( sk__122 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10102]) ).

thf(zip_derived_cl23378,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ( p @ X12 )
      | ~ ( p @ X11 )
      | ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl23364,zip_derived_cl10103]) ).

thf(zip_derived_cl1057_057,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__120 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__119 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl597,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__353 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__354 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__352 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__120 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__351 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X0 )
      | ( p @ ( sk__354 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X0 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3784,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__351 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__352 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__353 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X12 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl597,zip_derived_cl41]) ).

thf(zip_derived_cl395,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__353 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X10 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl12453,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X12 )
      | ~ ( p @ ( sk__352 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__351 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3784,zip_derived_cl395]) ).

thf(zip_derived_cl626,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__352 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X9 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl12454,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__351 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X12 )
      | ( p @ X13 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12453,zip_derived_cl626]) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__351 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X9 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl12464,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ X13 )
      | ( p @ X12 )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl12454,zip_derived_cl89]) ).

thf(zip_derived_cl1061,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__119 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__120 @ X11 @ X12 @ X13 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl12465,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X12: $i,X13: $i] :
      ( ( p @ X12 )
      | ( p @ X13 )
      | ( p @ ( sk__119 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12464,zip_derived_cl1061]) ).

thf(zip_derived_cl12479,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( p @ ( sk__119 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl12465]) ).

thf(zip_derived_cl12480,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] : ( p @ ( sk__119 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl12479]) ).

thf(zip_derived_cl12481,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__120 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1057,zip_derived_cl12480]) ).

thf(zip_derived_cl23379,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X11 )
      | ( p @ X12 )
      | ~ ( p @ X13 )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl23378,zip_derived_cl12481]) ).

thf(zip_derived_cl12453_058,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X12 )
      | ~ ( p @ ( sk__352 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__351 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3784,zip_derived_cl395]) ).

thf(zip_derived_cl788,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__352 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__107 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl12455,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__351 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X12 )
      | ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12453,zip_derived_cl788]) ).

thf(zip_derived_cl1026,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__351 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X11 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl12665,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X12 )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X11 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12455,zip_derived_cl1026]) ).

thf(zip_derived_cl23381,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ( p @ X12 )
      | ~ ( p @ X11 )
      | ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl23379,zip_derived_cl12665]) ).

thf(zip_derived_cl597_059,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__353 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__354 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__352 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__120 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__351 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl318,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__354 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X9 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3785,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__351 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__352 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__353 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X13 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl597,zip_derived_cl318]) ).

thf(zip_derived_cl89_060,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__351 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X9 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl12514,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X13 )
      | ~ ( p @ ( sk__353 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__352 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3785,zip_derived_cl89]) ).

thf(zip_derived_cl255,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X0 )
      | ( p @ ( sk__353 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X0 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl12515,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__352 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X13 ) ),
    inference(clc,[status(thm)],[zip_derived_cl12514,zip_derived_cl255]) ).

thf(zip_derived_cl626_061,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__352 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X9 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl12516,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ X13 )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl12515,zip_derived_cl626]) ).

thf(zip_derived_cl23382,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X11 )
      | ( p @ X12 )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl23381,zip_derived_cl12516]) ).

thf(zip_derived_cl23390,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ X12 )
      | ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X11 )
      | ~ ( p @ X13 )
      | ( p @ X12 )
      | ~ ( p @ X11 )
      | ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2356,zip_derived_cl23382]) ).

thf(zip_derived_cl23393,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ~ ( p @ X11 )
      | ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl23390]) ).

thf(zip_derived_cl23397,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ X12 )
      | ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl23393]) ).

thf(zip_derived_cl23398,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl23397]) ).

thf(zip_derived_cl23399,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16415,zip_derived_cl23398]) ).

thf(zip_derived_cl23408,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl23399]) ).

thf(zip_derived_cl763,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__120 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__354 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl839,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ X1 )
      | ~ ( p @ ( sk__109 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 ) )
      | ~ ( p @ X13 )
      | ~ ( p @ ( sk__354 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X13 @ X1 @ X0 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2316,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X12 )
      | ~ ( p @ X11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl763,zip_derived_cl839]) ).

thf(zip_derived_cl908,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__124 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__326 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__145 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl817,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__326 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X11 )
      | ~ ( p @ X9 )
      | ~ ( p @ X10 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3539,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__145 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X12 )
      | ~ ( p @ X13 )
      | ~ ( p @ X11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl908,zip_derived_cl817]) ).

thf(zip_derived_cl1062,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__145 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl4380,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ X11 )
      | ~ ( p @ X13 )
      | ~ ( p @ X12 )
      | ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3539,zip_derived_cl1062]) ).

thf(zip_derived_cl525,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__129 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__307 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__308 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl320,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__308 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__131 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3196,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__307 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl525,zip_derived_cl320]) ).

thf(zip_derived_cl987,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__165 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__152 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__307 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5323,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__152 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__165 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3196,zip_derived_cl987]) ).

thf(zip_derived_cl464,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__165 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10366,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__152 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5323,zip_derived_cl464]) ).

thf(zip_derived_cl15520_062,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__152 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__159 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl15519]) ).

thf(zip_derived_cl366,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__305 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__306 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__130 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl157,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__133 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__306 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3188,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__130 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__305 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl157]) ).

thf(zip_derived_cl352,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__166 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__159 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__305 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5274,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__130 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__159 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__166 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3188,zip_derived_cl352]) ).

thf(zip_derived_cl840,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__166 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10166,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__159 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__130 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5274,zip_derived_cl840]) ).

thf(zip_derived_cl15521,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__152 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__130 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl15520,zip_derived_cl10166]) ).

thf(zip_derived_cl15560,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__130 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10366,zip_derived_cl15521]) ).

thf(zip_derived_cl15563,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__130 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15560]) ).

thf(zip_derived_cl2184_063,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__148 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X14 )
      | ( p @ X15 )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl433]) ).

thf(zip_derived_cl10366_064,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__152 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5323,zip_derived_cl464]) ).

thf(zip_derived_cl15524_065,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__152 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X15 )
      | ~ ( p @ X14 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl15520,zip_derived_cl10625]) ).

thf(zip_derived_cl15534,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X14 )
      | ( p @ X15 )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10366,zip_derived_cl15524]) ).

thf(zip_derived_cl15537,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ X15 )
      | ~ ( p @ X14 )
      | ~ ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15534]) ).

thf(zip_derived_cl10240_066,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__148 @ X14 @ X15 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__149 @ X14 @ X15 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1152,zip_derived_cl10239]) ).

thf(zip_derived_cl15543,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X14 )
      | ( p @ X15 )
      | ( p @ ( sk__148 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl15537,zip_derived_cl10240]) ).

thf(zip_derived_cl10219_067,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__148 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X15 )
      | ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10217,zip_derived_cl103]) ).

thf(zip_derived_cl15569,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__148 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X15 )
      | ~ ( p @ X14 )
      | ~ ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl15543,zip_derived_cl10219]) ).

thf(zip_derived_cl10218_068,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__148 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X15 )
      | ( p @ X14 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10217,zip_derived_cl60]) ).

thf(zip_derived_cl15570,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X15 )
      | ( p @ ( sk__148 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl15569,zip_derived_cl10218]) ).

thf(zip_derived_cl15574,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X15 )
      | ~ ( p @ X14 )
      | ( p @ X15 )
      | ~ ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2184,zip_derived_cl15570]) ).

thf(zip_derived_cl15577,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X14 )
      | ( p @ X15 )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15574]) ).

thf(zip_derived_cl15579,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ~ ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X14 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl15577]) ).

thf(zip_derived_cl15618,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__130 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl15563,zip_derived_cl15579]) ).

thf(zip_derived_cl15579_069,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ~ ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X14 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl15577]) ).

thf(zip_derived_cl15619,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__130 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl15618,zip_derived_cl15579]) ).

thf(zip_derived_cl15579_070,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ~ ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X14 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl15577]) ).

thf(zip_derived_cl15620,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl15619,zip_derived_cl15579]) ).

thf(zip_derived_cl661,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__131 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__140 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__334 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl149,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__104 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__335 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__334 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__108 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__335 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2048,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__334 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl1003]) ).

thf(zip_derived_cl3510,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__140 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl661,zip_derived_cl2048]) ).

thf(zip_derived_cl348,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__140 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl6342,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__131 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3510,zip_derived_cl348]) ).

thf(zip_derived_cl15624,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl15620,zip_derived_cl6342]) ).

thf(zip_derived_cl580,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__129 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__346 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__133 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1045,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__345 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__346 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2634,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__345 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl580,zip_derived_cl1045]) ).

thf(zip_derived_cl1224,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__344 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__135 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__345 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl7158,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__135 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__344 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2634,zip_derived_cl1224]) ).

thf(zip_derived_cl584,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__344 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__99 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__348 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl957,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__108 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__348 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3026,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__344 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl584,zip_derived_cl957]) ).

thf(zip_derived_cl17857,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__135 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7158,zip_derived_cl3026]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__135 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl18052,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl17857,zip_derived_cl28]) ).

thf(zip_derived_cl301,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__325 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__148 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1237,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ X1 )
      | ~ ( p @ ( sk__133 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ~ ( p @ ( sk__325 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X1 @ X0 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2380,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__148 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X15 )
      | ~ ( p @ X14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl1237]) ).

thf(zip_derived_cl1655_071,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__151 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl936,zip_derived_cl1053]) ).

thf(zip_derived_cl12431_072,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__151 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X15 ) ),
    inference(clc,[status(thm)],[zip_derived_cl12423,zip_derived_cl1989]) ).

thf(zip_derived_cl12433,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X15 )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1655,zip_derived_cl12431]) ).

thf(zip_derived_cl12434,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ X15 )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl12433]) ).

thf(zip_derived_cl1163_073,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__322 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__321 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__124 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl138,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__322 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__133 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3237,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__321 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1163,zip_derived_cl138]) ).

thf(zip_derived_cl802_074,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__150 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ~ ( p @ ( sk__160 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__321 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5590,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__160 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3237,zip_derived_cl802]) ).

thf(zip_derived_cl813_075,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__160 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10434,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5590,zip_derived_cl813]) ).

thf(zip_derived_cl12775,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X15 )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12434,zip_derived_cl10434]) ).

thf(zip_derived_cl12776,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X15 )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl12775]) ).

thf(zip_derived_cl10240_076,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__148 @ X14 @ X15 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__149 @ X14 @ X15 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1152,zip_derived_cl10239]) ).

thf(zip_derived_cl12778,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ X15 )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__148 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12776,zip_derived_cl10240]) ).

thf(zip_derived_cl12784,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ X14 )
      | ~ ( p @ X15 )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X15 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2380,zip_derived_cl12778]) ).

thf(zip_derived_cl12786,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X15 )
      | ~ ( p @ X14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl12784]) ).

thf(zip_derived_cl12790,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ~ ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X14 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl12786]) ).

thf(zip_derived_cl12791,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl12790]) ).

thf(zip_derived_cl19355,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__129 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18052,zip_derived_cl12791]) ).

thf(zip_derived_cl19370,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl15624,zip_derived_cl19355]) ).

thf(zip_derived_cl19378,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl19370]) ).

thf(zip_derived_cl19412,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X12 )
      | ~ ( p @ X13 )
      | ~ ( p @ X11 )
      | ~ ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4380,zip_derived_cl19378]) ).

thf(zip_derived_cl19419,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X11 )
      | ~ ( p @ X13 )
      | ~ ( p @ X12 )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl19412]) ).

thf(zip_derived_cl12481_077,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__120 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1057,zip_derived_cl12480]) ).

thf(zip_derived_cl19433,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ X12 )
      | ~ ( p @ X13 )
      | ~ ( p @ X11 )
      | ~ ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl19419,zip_derived_cl12481]) ).

thf(zip_derived_cl12516_078,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ X13 )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl12515,zip_derived_cl626]) ).

thf(zip_derived_cl19437,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X11 )
      | ~ ( p @ X12 ) ),
    inference(clc,[status(thm)],[zip_derived_cl19433,zip_derived_cl12516]) ).

thf(zip_derived_cl19443,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ X11 )
      | ~ ( p @ X12 )
      | ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ~ ( p @ X12 )
      | ~ ( p @ X11 )
      | ~ ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2316,zip_derived_cl19437]) ).

thf(zip_derived_cl19447,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X12 )
      | ~ ( p @ X11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl19443]) ).

thf(zip_derived_cl19452,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X11 )
      | ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X12 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl19447]) ).

thf(zip_derived_cl19453,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X11 )
      | ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl19452]) ).

thf(zip_derived_cl19454,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl19453]) ).

thf(zip_derived_cl10992_079,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ X9 )
      | ~ ( p @ X10 )
      | ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10988,zip_derived_cl576]) ).

thf(zip_derived_cl19455,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ( p @ X9 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl19454,zip_derived_cl10992]) ).

thf(zip_derived_cl10965_080,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ X9 )
      | ~ ( p @ X10 )
      | ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10961,zip_derived_cl576]) ).

thf(zip_derived_cl19457,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ X9 )
      | ~ ( p @ X10 )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl19455,zip_derived_cl10965]) ).

thf(zip_derived_cl574,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__98 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__106 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__97 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__369 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__104 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl428,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__369 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__367 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3828,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__367 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl574,zip_derived_cl428]) ).

thf(zip_derived_cl532_081,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__111 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__367 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__366 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl13015,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__366 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__111 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3828,zip_derived_cl532]) ).

thf(zip_derived_cl2946_082,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__366 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl221]) ).

thf(zip_derived_cl20997,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__111 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13015,zip_derived_cl2946]) ).

thf(zip_derived_cl581_083,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__111 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl25575,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl20997,zip_derived_cl581]) ).

thf(zip_derived_cl639,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__337 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__103 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__336 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl783,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__107 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__337 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3036,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__336 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl783]) ).

thf(zip_derived_cl798,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__139 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__128 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__336 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5105,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__139 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3036,zip_derived_cl798]) ).

thf(zip_derived_cl233,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__139 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl6969,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5105,zip_derived_cl233]) ).

thf(zip_derived_cl2380_084,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__148 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X15 )
      | ~ ( p @ X14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl1237]) ).

thf(zip_derived_cl12434_085,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ X15 )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl12433]) ).

thf(zip_derived_cl955,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__128 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__310 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__309 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl116,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__310 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__133 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3228,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__309 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl955,zip_derived_cl116]) ).

thf(zip_derived_cl214,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__164 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__157 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__150 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__309 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5370,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__157 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__164 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3228,zip_derived_cl214]) ).

thf(zip_derived_cl147,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__164 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl15899,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__157 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5370,zip_derived_cl147]) ).

thf(zip_derived_cl364,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__172 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ( p @ ( sk__297 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl781,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__297 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__157 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X6 )
      | ( p @ X5 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2400,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__172 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X17 )
      | ~ ( p @ X16 )
      | ~ ( p @ ( sk__157 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl364,zip_derived_cl781]) ).

thf(zip_derived_cl460,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__282 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__188 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__283 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1075,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__283 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__174 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3653,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__188 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__282 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__174 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl1075]) ).

thf(zip_derived_cl1157,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ( p @ X1 )
      | ~ ( p @ ( sk__282 @ X2 @ X3 @ X4 @ X5 @ X6 @ X1 @ X0 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl11776,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( p @ ( sk__174 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__188 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X17 )
      | ~ ( p @ X16 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3653,zip_derived_cl1157]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__173 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ( p @ ( sk__188 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl11779,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ X16 )
      | ( p @ X17 )
      | ( p @ ( sk__174 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11776,zip_derived_cl39]) ).

thf(zip_derived_cl1843_086,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__175 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__174 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl774,zip_derived_cl1204]) ).

thf(zip_derived_cl984,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__278 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X4 )
      | ~ ( p @ X3 )
      | ~ ( p @ ( sk__182 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__193 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) )
      | ( p @ ( sk__278 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1483,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ~ ( p @ ( sk__182 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X19 )
      | ~ ( p @ X18 )
      | ~ ( p @ ( sk__193 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl984,zip_derived_cl50]) ).

thf(zip_derived_cl1036,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( p @ ( sk__211 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) )
      | ~ ( p @ ( sk__194 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl717,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ~ ( p @ ( sk__211 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) )
      | ~ ( p @ ( sk__196 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) )
      | ~ ( p @ ( sk__195 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2284,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ~ ( p @ ( sk__194 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__195 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__196 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1036,zip_derived_cl717]) ).

thf(zip_derived_cl181,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__262 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__263 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__209 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl685,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__263 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__196 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2239,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__209 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__262 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__196 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl181,zip_derived_cl685]) ).

thf(zip_derived_cl1231,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__262 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X4 )
      | ~ ( p @ X3 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5877,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( p @ ( sk__196 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__209 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X19 )
      | ( p @ X18 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2239,zip_derived_cl1231]) ).

thf(zip_derived_cl133,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( p @ ( sk__209 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) )
      | ~ ( p @ ( sk__194 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5888,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( p @ X18 )
      | ~ ( p @ X19 )
      | ( p @ ( sk__196 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__194 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5877,zip_derived_cl133]) ).

thf(zip_derived_cl126,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__196 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) )
      | ( p @ ( sk__261 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) )
      | ~ ( p @ ( sk__210 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl659,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ X1 )
      | ~ ( p @ ( sk__261 @ X2 @ X3 @ X4 @ X1 @ X0 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1854,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ~ ( p @ ( sk__210 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__196 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X19 )
      | ~ ( p @ X18 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl659]) ).

thf(zip_derived_cl1083,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( p @ ( sk__210 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) )
      | ~ ( p @ ( sk__194 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl4647,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ~ ( p @ X18 )
      | ~ ( p @ X19 )
      | ( p @ ( sk__196 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__194 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1854,zip_derived_cl1083]) ).

thf(zip_derived_cl9697,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ~ ( p @ ( sk__194 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__196 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X19 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5888,zip_derived_cl4647]) ).

thf(zip_derived_cl9699,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ~ ( p @ ( sk__195 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__194 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X19 )
      | ~ ( p @ ( sk__194 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2284,zip_derived_cl9697]) ).

thf(zip_derived_cl9700,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ~ ( p @ X19 )
      | ~ ( p @ ( sk__194 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__195 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9699]) ).

thf(zip_derived_cl332,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__276 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__275 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__176 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl163,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__276 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__182 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3112,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__176 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__275 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__182 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl163]) ).

thf(zip_derived_cl878,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__204 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) )
      | ( p @ ( sk__275 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) )
      | ( p @ ( sk__195 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl6170,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ~ ( p @ ( sk__182 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__176 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__195 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__204 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3112,zip_derived_cl878]) ).

thf(zip_derived_cl498,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( p @ ( sk__204 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) )
      | ~ ( p @ ( sk__194 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl15869,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( p @ ( sk__195 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__176 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__182 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__194 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6170,zip_derived_cl498]) ).

thf(zip_derived_cl22238,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ~ ( p @ ( sk__194 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X19 )
      | ~ ( p @ ( sk__194 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__182 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__176 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl9700,zip_derived_cl15869]) ).

thf(zip_derived_cl22239,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ~ ( p @ ( sk__176 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__182 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X19 )
      | ~ ( p @ ( sk__194 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl22238]) ).

thf(zip_derived_cl941,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( p @ ( sk__194 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) )
      | ~ ( p @ ( sk__192 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) )
      | ( p @ ( sk__193 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl778,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__277 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__278 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__193 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl843,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X0 )
      | ( p @ ( sk__278 @ X1 @ X2 @ X3 @ X0 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2759,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__193 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__277 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X19 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl778,zip_derived_cl843]) ).

thf(zip_derived_cl186,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X0 )
      | ( p @ ( sk__277 @ X1 @ X2 @ X3 @ X0 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl6181,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( p @ X19 )
      | ( p @ ( sk__193 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2759,zip_derived_cl186]) ).

thf(zip_derived_cl669,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ~ ( p @ ( sk__193 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) )
      | ( p @ ( sk__192 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl6182,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X19: $i] :
      ( ( p @ X19 )
      | ( p @ ( sk__192 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6181,zip_derived_cl669]) ).

thf(zip_derived_cl6188,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] : ( p @ ( sk__192 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl6182]) ).

thf(zip_derived_cl6189,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( p @ ( sk__194 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) )
      | ( p @ ( sk__193 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl941,zip_derived_cl6188]) ).

thf(zip_derived_cl22241,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ~ ( p @ X19 )
      | ~ ( p @ ( sk__182 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__176 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__193 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl22239,zip_derived_cl6189]) ).

thf(zip_derived_cl6181_087,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( p @ X19 )
      | ( p @ ( sk__193 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2759,zip_derived_cl186]) ).

thf(zip_derived_cl22243,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( p @ ( sk__193 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__176 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__182 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl22241,zip_derived_cl6181]) ).

thf(zip_derived_cl22246,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ~ ( p @ X18 )
      | ~ ( p @ X19 )
      | ~ ( p @ ( sk__182 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__182 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__176 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1483,zip_derived_cl22243]) ).

thf(zip_derived_cl22248,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ~ ( p @ ( sk__176 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__182 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X19 )
      | ~ ( p @ X18 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl22246]) ).

thf(zip_derived_cl22250,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ~ ( p @ ( sk__176 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__182 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X18 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl22248]) ).

thf(zip_derived_cl22251,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__176 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__182 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl22250]) ).

thf(zip_derived_cl460_088,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__282 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__188 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__283 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl642,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__283 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__182 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3652,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__188 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__282 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__182 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl642]) ).

thf(zip_derived_cl1157_089,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ( p @ X1 )
      | ~ ( p @ ( sk__282 @ X2 @ X3 @ X4 @ X5 @ X6 @ X1 @ X0 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl11752,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( p @ ( sk__182 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__188 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X17 )
      | ~ ( p @ X16 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3652,zip_derived_cl1157]) ).

thf(zip_derived_cl39_090,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__173 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ( p @ ( sk__188 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl11755,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ X16 )
      | ( p @ X17 )
      | ( p @ ( sk__182 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11752,zip_derived_cl39]) ).

thf(zip_derived_cl22252,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__176 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X17 )
      | ~ ( p @ X16 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl22251,zip_derived_cl11755]) ).

thf(zip_derived_cl1056,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__154 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ~ ( p @ ( sk__288 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__289 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl239,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__289 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__157 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3282,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__288 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__157 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1056,zip_derived_cl239]) ).

thf(zip_derived_cl153,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__176 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ( p @ ( sk__288 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ( p @ ( sk__175 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ~ ( p @ ( sk__185 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5880,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__157 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__185 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__175 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__176 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3282,zip_derived_cl153]) ).

thf(zip_derived_cl459,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__173 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ( p @ ( sk__185 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl16376,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( p @ ( sk__176 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__175 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__157 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5880,zip_derived_cl459]) ).

thf(zip_derived_cl23664,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ X16 )
      | ( p @ X17 )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__157 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__175 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl22252,zip_derived_cl16376]) ).

thf(zip_derived_cl23668,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( p @ ( sk__175 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__157 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X17 )
      | ~ ( p @ X16 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl23664]) ).

thf(zip_derived_cl6366_091,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__175 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X17 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6352,zip_derived_cl5257]) ).

thf(zip_derived_cl24431,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ X16 )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__157 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__175 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl23668,zip_derived_cl6366]) ).

thf(zip_derived_cl24433,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__174 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__157 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X16 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1843,zip_derived_cl24431]) ).

thf(zip_derived_cl24434,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ X16 )
      | ~ ( p @ ( sk__157 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__174 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl24433]) ).

thf(zip_derived_cl24438,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X17 )
      | ~ ( p @ X16 )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__157 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X16 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11779,zip_derived_cl24434]) ).

thf(zip_derived_cl24440,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__157 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X16 )
      | ( p @ X17 )
      | ~ ( p @ ( sk__173 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl24438]) ).

thf(zip_derived_cl10834_092,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( p @ ( sk__173 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
      | ( p @ ( sk__172 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl710,zip_derived_cl10832]) ).

thf(zip_derived_cl24444,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( p @ X17 )
      | ~ ( p @ X16 )
      | ~ ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__157 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__172 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl24440,zip_derived_cl10834]) ).

thf(zip_derived_cl10797_093,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( p @ ( sk__172 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X16 )
      | ( p @ X17 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10796,zip_derived_cl206]) ).

thf(zip_derived_cl24448,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( p @ ( sk__172 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__157 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X17 ) ),
    inference(clc,[status(thm)],[zip_derived_cl24444,zip_derived_cl10797]) ).

thf(zip_derived_cl399_094,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__298 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__297 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__172 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__299 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl401,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__299 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X5 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3552,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__172 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__297 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__298 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X17 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl399,zip_derived_cl401]) ).

thf(zip_derived_cl206_095,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__298 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X5 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10853,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X17 )
      | ~ ( p @ ( sk__297 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__172 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3552,zip_derived_cl206]) ).

thf(zip_derived_cl257,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__157 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__297 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10855,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( p @ ( sk__172 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X17 )
      | ( p @ ( sk__157 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10853,zip_derived_cl257]) ).

thf(zip_derived_cl24449,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( p @ X17 )
      | ~ ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__172 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl24448,zip_derived_cl10855]) ).

thf(zip_derived_cl24453,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__157 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X16 )
      | ( p @ X17 )
      | ~ ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X17 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2400,zip_derived_cl24449]) ).

thf(zip_derived_cl24456,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X17 )
      | ~ ( p @ X16 )
      | ~ ( p @ ( sk__157 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl24453]) ).

thf(zip_derived_cl24458,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ~ ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X16 )
      | ~ ( p @ ( sk__157 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl24456]) ).

thf(zip_derived_cl24459,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X16 )
      | ~ ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15899,zip_derived_cl24458]) ).

thf(zip_derived_cl24489,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl24459]) ).

thf(zip_derived_cl820,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__313 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__314 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__154 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__162 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1067,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__150 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ~ ( p @ ( sk__314 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl4041,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__162 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__313 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl820,zip_derived_cl1067]) ).

thf(zip_derived_cl144,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__315 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__126 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__313 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl457,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__315 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__133 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2007,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__313 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__126 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl457]) ).

thf(zip_derived_cl14850,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__162 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__126 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4041,zip_derived_cl2007]) ).

thf(zip_derived_cl986,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
      | ( p @ ( sk__162 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl22433,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__126 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__154 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl14850,zip_derived_cl986]) ).

thf(zip_derived_cl25589,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__126 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl24489,zip_derived_cl22433]) ).

thf(zip_derived_cl25591,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__126 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__150 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl25589]) ).

thf(zip_derived_cl25600,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X15 )
      | ~ ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__126 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12434,zip_derived_cl25591]) ).

thf(zip_derived_cl25605,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__126 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X15 )
      | ~ ( p @ ( sk__149 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl25600]) ).

thf(zip_derived_cl10240_096,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( p @ ( sk__148 @ X14 @ X15 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__149 @ X14 @ X15 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1152,zip_derived_cl10239]) ).

thf(zip_derived_cl25615,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ X15 )
      | ~ ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__126 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__148 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl25605,zip_derived_cl10240]) ).

thf(zip_derived_cl25629,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ X14 )
      | ~ ( p @ X15 )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__126 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X15 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2380,zip_derived_cl25615]) ).

thf(zip_derived_cl25631,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__126 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X15 )
      | ~ ( p @ X14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl25629]) ).

thf(zip_derived_cl25635,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ~ ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__126 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X14 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl25631]) ).

thf(zip_derived_cl25636,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__126 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl25635]) ).

thf(zip_derived_cl791,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__332 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__105 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__333 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl890,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__333 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__106 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3060,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__332 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl791,zip_derived_cl890]) ).

thf(zip_derived_cl830,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__332 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__133 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__141 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5151,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__141 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3060,zip_derived_cl830]) ).

thf(zip_derived_cl647,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__141 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl7019,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5151,zip_derived_cl647]) ).

thf(zip_derived_cl25640,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__126 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl25636,zip_derived_cl7019]) ).

thf(zip_derived_cl25773,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__126 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6969,zip_derived_cl25640]) ).

thf(zip_derived_cl25776,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__126 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl25773]) ).

thf(zip_derived_cl952,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__120 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__351 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1168,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X0 )
      | ~ ( p @ X1 )
      | ~ ( p @ ( sk__106 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 ) )
      | ( p @ X13 )
      | ~ ( p @ ( sk__351 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X1 @ X0 @ X13 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2330,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ( p @ X12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl952,zip_derived_cl1168]) ).

thf(zip_derived_cl639_097,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__337 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__103 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__336 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl271,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__106 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__337 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3034,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__336 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl271]) ).

thf(zip_derived_cl798_098,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__139 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__128 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__336 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5061,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__139 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3034,zip_derived_cl798]) ).

thf(zip_derived_cl233_099,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__139 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl6955,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5061,zip_derived_cl233]) ).

thf(zip_derived_cl25636_100,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__126 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl25635]) ).

thf(zip_derived_cl165,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__331 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__142 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__330 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl861,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__331 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__133 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2122,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__330 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__142 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl861]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__330 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X9 )
      | ( p @ X10 )
      | ( p @ X11 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5515,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__142 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ( p @ X12 )
      | ~ ( p @ X13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2122,zip_derived_cl14]) ).

thf(zip_derived_cl308,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__142 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5519,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ X13 )
      | ( p @ X12 )
      | ( p @ X11 )
      | ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5515,zip_derived_cl308]) ).

thf(zip_derived_cl25637,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__126 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ( p @ X12 )
      | ~ ( p @ X13 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl25636,zip_derived_cl5519]) ).

thf(zip_derived_cl165_101,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__331 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__142 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__330 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1140,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__126 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ~ ( p @ ( sk__331 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2125,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__330 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__142 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__126 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl1140]) ).

thf(zip_derived_cl14_102,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__330 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X9 )
      | ( p @ X10 )
      | ( p @ X11 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5571,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__126 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__142 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ( p @ X12 )
      | ~ ( p @ X13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2125,zip_derived_cl14]) ).

thf(zip_derived_cl308_103,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__142 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5575,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ X13 )
      | ( p @ X12 )
      | ( p @ X11 )
      | ( p @ ( sk__126 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5571,zip_derived_cl308]) ).

thf(zip_derived_cl25655,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ X13 )
      | ( p @ X12 )
      | ( p @ X11 )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__128 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl25637,zip_derived_cl5575]) ).

thf(zip_derived_cl25660,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ( p @ X12 )
      | ~ ( p @ X13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6955,zip_derived_cl25655]) ).

thf(zip_derived_cl25664,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ X13 )
      | ( p @ X12 )
      | ( p @ X11 )
      | ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl25660]) ).

thf(zip_derived_cl12481_104,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__120 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1057,zip_derived_cl12480]) ).

thf(zip_derived_cl25672,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ( p @ X12 )
      | ~ ( p @ X13 )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl25664,zip_derived_cl12481]) ).

thf(zip_derived_cl12453_105,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X12 )
      | ~ ( p @ ( sk__352 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__351 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3784,zip_derived_cl395]) ).

thf(zip_derived_cl1156,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__352 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X11 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl12457,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__351 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X12 )
      | ( p @ X11 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12453,zip_derived_cl1156]) ).

thf(zip_derived_cl1193,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__351 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__106 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl12507,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ X11 )
      | ( p @ X12 )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12457,zip_derived_cl1193]) ).

thf(zip_derived_cl25695,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ( p @ X12 )
      | ( p @ X11 )
      | ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl25672,zip_derived_cl12507]) ).

thf(zip_derived_cl12516_106,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ X13 )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl12515,zip_derived_cl626]) ).

thf(zip_derived_cl25696,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ( p @ X12 )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl25695,zip_derived_cl12516]) ).

thf(zip_derived_cl25703,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ X12 )
      | ~ ( p @ X13 )
      | ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ( p @ X12 )
      | ( p @ X11 )
      | ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2330,zip_derived_cl25696]) ).

thf(zip_derived_cl25706,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ( p @ X12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl25703]) ).

thf(zip_derived_cl25711,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X12 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl25706]) ).

thf(zip_derived_cl25712,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl25711]) ).

thf(zip_derived_cl25829,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl25776,zip_derived_cl25712]) ).

thf(zip_derived_cl25712_107,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl25711]) ).

thf(zip_derived_cl25830,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl25829,zip_derived_cl25712]) ).

thf(zip_derived_cl25712_108,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl25711]) ).

thf(zip_derived_cl25831,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl25830,zip_derived_cl25712]) ).

thf(zip_derived_cl25712_109,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl25711]) ).

thf(zip_derived_cl25832,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__106 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl25831,zip_derived_cl25712]) ).

thf(zip_derived_cl26052,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__104 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25575,zip_derived_cl25832]) ).

thf(zip_derived_cl26448,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ( p @ X9 )
      | ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl19457,zip_derived_cl26052]) ).

thf(zip_derived_cl26458,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__103 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ X10 )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26448]) ).

thf(zip_derived_cl26497,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ( p @ X9 )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23408,zip_derived_cl26458]) ).

thf(zip_derived_cl26506,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ X10 )
      | ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26497]) ).

thf(zip_derived_cl26519,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ( p @ X9 )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ( p @ X9 )
      | ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11125,zip_derived_cl26506]) ).

thf(zip_derived_cl26520,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ X10 )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26519]) ).

thf(zip_derived_cl11005_110,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ X10 )
      | ( p @ X9 )
      | ~ ( p @ ( sk__98 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl11004,zip_derived_cl10965]) ).

thf(zip_derived_cl26522,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ( p @ X9 )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl26520,zip_derived_cl11005]) ).

thf(zip_derived_cl900,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__359 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__115 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__358 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl684,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__97 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__359 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3711,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__358 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__115 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl900,zip_derived_cl684]) ).

thf(zip_derived_cl439,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X0 )
      | ~ ( p @ X1 )
      | ~ ( p @ ( sk__358 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X0 @ X1 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10768,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__115 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X9 )
      | ( p @ X10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3711,zip_derived_cl439]) ).

thf(zip_derived_cl925,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__115 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10771,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ X10 )
      | ~ ( p @ X9 )
      | ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10768,zip_derived_cl925]) ).

thf(zip_derived_cl3167_111,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ X9 )
      | ~ ( p @ X10 )
      | ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3151,zip_derived_cl671]) ).

thf(zip_derived_cl10779,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X9 ) ),
    inference(clc,[status(thm)],[zip_derived_cl10771,zip_derived_cl3167]) ).

thf(zip_derived_cl26523,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl26522,zip_derived_cl10779]) ).

thf(zip_derived_cl532_112,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__111 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__367 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__366 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1028,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__99 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__367 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3707,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__366 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__111 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl1028]) ).

thf(zip_derived_cl2946_113,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__366 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl221]) ).

thf(zip_derived_cl10715,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__111 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3707,zip_derived_cl2946]) ).

thf(zip_derived_cl581_114,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__111 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10722,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__99 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10715,zip_derived_cl581]) ).

thf(zip_derived_cl26524,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__97 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl26523,zip_derived_cl10722]) ).

thf(zip_derived_cl26526,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__96 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1314,zip_derived_cl26524]) ).

thf(zip_derived_cl26527,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ X10 )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__96 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26526]) ).

thf(zip_derived_cl465_115,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__373 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__76 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__374 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1032,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__82 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ~ ( p @ ( sk__374 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2941,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__76 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__373 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl1032]) ).

thf(zip_derived_cl1221_116,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__110 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__373 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__96 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl4376,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__76 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__96 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__110 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2941,zip_derived_cl1221]) ).

thf(zip_derived_cl595_117,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__110 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5135,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__96 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__76 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4376,zip_derived_cl595]) ).

thf(zip_derived_cl26529,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__76 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl26527,zip_derived_cl5135]) ).

thf(zip_derived_cl26541,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__76 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26529]) ).

thf(zip_derived_cl1521_118,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__94 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl809]) ).

thf(zip_derived_cl2316_119,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X12 )
      | ~ ( p @ X11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl763,zip_derived_cl839]) ).

thf(zip_derived_cl4380_120,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ X11 )
      | ~ ( p @ X13 )
      | ~ ( p @ X12 )
      | ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3539,zip_derived_cl1062]) ).

thf(zip_derived_cl12791_121,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl12790]) ).

thf(zip_derived_cl791_122,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__332 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__105 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__333 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__333 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__108 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3056,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__332 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl791,zip_derived_cl10]) ).

thf(zip_derived_cl830_123,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__332 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__133 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__141 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5127,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__141 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3056,zip_derived_cl830]) ).

thf(zip_derived_cl647_124,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__141 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl6981,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__133 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5127,zip_derived_cl647]) ).

thf(zip_derived_cl12793,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__124 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12791,zip_derived_cl6981]) ).

thf(zip_derived_cl12869,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X12 )
      | ~ ( p @ X13 )
      | ~ ( p @ X11 )
      | ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4380,zip_derived_cl12793]) ).

thf(zip_derived_cl12874,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X11 )
      | ~ ( p @ X13 )
      | ~ ( p @ X12 )
      | ~ ( p @ ( sk__121 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl12869]) ).

thf(zip_derived_cl12481_125,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__120 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) )
      | ( p @ ( sk__121 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1057,zip_derived_cl12480]) ).

thf(zip_derived_cl12884,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ X12 )
      | ~ ( p @ X13 )
      | ~ ( p @ X11 )
      | ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12874,zip_derived_cl12481]) ).

thf(zip_derived_cl12516_126,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ X13 )
      | ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl12515,zip_derived_cl626]) ).

thf(zip_derived_cl13041,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( p @ ( sk__120 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X11 )
      | ~ ( p @ X12 ) ),
    inference(clc,[status(thm)],[zip_derived_cl12884,zip_derived_cl12516]) ).

thf(zip_derived_cl13047,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ X11 )
      | ~ ( p @ X12 )
      | ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ~ ( p @ X12 )
      | ~ ( p @ X11 )
      | ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2316,zip_derived_cl13041]) ).

thf(zip_derived_cl13051,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X13 )
      | ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X12 )
      | ~ ( p @ X11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl13047]) ).

thf(zip_derived_cl13056,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X11 )
      | ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X12 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl13051]) ).

thf(zip_derived_cl13057,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X11 )
      | ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl13056]) ).

thf(zip_derived_cl13058,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl13057]) ).

thf(zip_derived_cl10992_127,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ X9 )
      | ~ ( p @ X10 )
      | ( p @ ( sk__109 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10988,zip_derived_cl576]) ).

thf(zip_derived_cl13059,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ( p @ X9 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13058,zip_derived_cl10992]) ).

thf(zip_derived_cl10965_128,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ X9 )
      | ~ ( p @ X10 )
      | ( p @ ( sk__108 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10961,zip_derived_cl576]) ).

thf(zip_derived_cl13064,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ X9 )
      | ~ ( p @ X10 )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl13059,zip_derived_cl10965]) ).

thf(zip_derived_cl976,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__105 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__107 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__96 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__370 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl442,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__367 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__370 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl3298,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__96 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__367 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl976,zip_derived_cl442]) ).

thf(zip_derived_cl532_129,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__111 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__367 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__366 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl9489,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__96 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__366 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__111 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3298,zip_derived_cl532]) ).

thf(zip_derived_cl2946_130,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__366 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl221]) ).

thf(zip_derived_cl18727,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__111 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__96 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9489,zip_derived_cl2946]) ).

thf(zip_derived_cl581_131,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__111 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ~ ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl18920,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__96 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl18727,zip_derived_cl581]) ).

thf(zip_derived_cl23398_132,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ ( sk__107 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl23397]) ).

thf(zip_derived_cl23402,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__96 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X11 )
      | ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18920,zip_derived_cl23398]) ).

thf(zip_derived_cl23925,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__96 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__105 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl23402]) ).

thf(zip_derived_cl23933,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ( p @ X9 )
      | ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__96 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13064,zip_derived_cl23925]) ).

thf(zip_derived_cl23940,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__96 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ X10 )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl23933]) ).

thf(zip_derived_cl11125_133,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ X9 )
      | ~ ( p @ X10 )
      | ( p @ ( sk__101 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11121,zip_derived_cl576]) ).

thf(zip_derived_cl23954,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ( p @ X9 )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__96 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl23940,zip_derived_cl11125]) ).

thf(zip_derived_cl26527_134,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ X10 )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__96 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26526]) ).

thf(zip_derived_cl26534,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ X10 )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23954,zip_derived_cl26527]) ).

thf(zip_derived_cl26538,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ( p @ X9 )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26534]) ).

thf(zip_derived_cl6032_135,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__95 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
      | ( p @ ( sk__94 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl895,zip_derived_cl6030]) ).

thf(zip_derived_cl26545,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ X10 )
      | ( p @ ( sk__94 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl26538,zip_derived_cl6032]) ).

thf(zip_derived_cl6012_136,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__94 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ( p @ X10 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6008,zip_derived_cl793]) ).

thf(zip_derived_cl26547,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( p @ ( sk__94 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl26545,zip_derived_cl6012]) ).

thf(zip_derived_cl26551,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ X10 )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1521,zip_derived_cl26547]) ).

thf(zip_derived_cl26554,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26551]) ).

thf(zip_derived_cl26558,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl26554]) ).

thf(zip_derived_cl26781,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( p @ ( sk__95 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl26541,zip_derived_cl26558]) ).

thf(zip_derived_cl26558_137,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl26554]) ).

thf(zip_derived_cl26782,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X10: $i] :
      ( ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X10 )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl26781,zip_derived_cl26558]) ).

thf(zip_derived_cl26558_138,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X9 )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl26554]) ).

thf(zip_derived_cl26783,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl26782,zip_derived_cl26558]) ).

thf(zip_derived_cl5785_139,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__388 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__85 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2567,zip_derived_cl265]) ).

thf(zip_derived_cl170_140,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__388 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__55 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__392 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__60 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ~ ( p @ ( sk__392 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2172,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__388 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl20]) ).

thf(zip_derived_cl13326,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__85 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5785,zip_derived_cl2172]) ).

thf(zip_derived_cl616_141,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__73 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ( p @ ( sk__85 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl13333,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__83 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13326,zip_derived_cl616]) ).

thf(zip_derived_cl26787,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl26783,zip_derived_cl13333]) ).

thf(zip_derived_cl265_142,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__85 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ( p @ ( sk__389 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ( p @ ( sk__388 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl628,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__77 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ~ ( p @ ( sk__389 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2561,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__388 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__85 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl628]) ).

thf(zip_derived_cl2172_143,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__388 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl20]) ).

thf(zip_derived_cl6657,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__85 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2561,zip_derived_cl2172]) ).

thf(zip_derived_cl616_144,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__73 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )
      | ( p @ ( sk__85 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl6843,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__77 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6657,zip_derived_cl616]) ).

thf(zip_derived_cl26999,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl26787,zip_derived_cl6843]) ).

thf(zip_derived_cl11263_145,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__79 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl11262,zip_derived_cl11077]) ).

thf(zip_derived_cl27000,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__82 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl26999,zip_derived_cl11263]) ).

thf(zip_derived_cl27002,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X8 )
      | ~ ( p @ X7 )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1330,zip_derived_cl27000]) ).

thf(zip_derived_cl27003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X7 )
      | ~ ( p @ X8 )
      | ~ ( p @ ( sk__73 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27002]) ).

thf(zip_derived_cl7933_146,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( p @ ( sk__73 @ X7 @ X8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__72 @ X7 @ X8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1065,zip_derived_cl7932]) ).

thf(zip_derived_cl27005,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ X8 )
      | ~ ( p @ X7 )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__72 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl27003,zip_derived_cl7933]) ).

thf(zip_derived_cl27012,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X8 )
      | ~ ( p @ X7 )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X7 )
      | ~ ( p @ X8 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2017,zip_derived_cl27005]) ).

thf(zip_derived_cl27015,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X7 )
      | ~ ( p @ X8 )
      | ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27012]) ).

thf(zip_derived_cl27019,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X7 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl27015]) ).

thf(zip_derived_cl27020,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl27019]) ).

thf(zip_derived_cl2688_147,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ X6 )
      | ~ ( p @ X5 )
      | ( p @ ( sk__61 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2672,zip_derived_cl504]) ).

thf(zip_derived_cl27021,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__60 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X5 )
      | ~ ( p @ X6 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl27020,zip_derived_cl2688]) ).

thf(zip_derived_cl27034,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X6 )
      | ~ ( p @ X5 )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11417,zip_derived_cl27021]) ).

thf(zip_derived_cl27040,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X5 )
      | ~ ( p @ X6 )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27034]) ).

thf(zip_derived_cl3577_148,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__408 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__63 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl336]) ).

thf(zip_derived_cl2821_149,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__408 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl846]) ).

thf(zip_derived_cl5383,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__63 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3577,zip_derived_cl2821]) ).

thf(zip_derived_cl603_150,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__51 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__63 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5390,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5383,zip_derived_cl603]) ).

thf(zip_derived_cl27391,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__57 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X6 )
      | ~ ( p @ X5 ) ),
    inference(clc,[status(thm)],[zip_derived_cl27040,zip_derived_cl5390]) ).

thf(zip_derived_cl27395,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ X6 )
      | ~ ( p @ X5 )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X5 )
      | ~ ( p @ X6 )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13806,zip_derived_cl27391]) ).

thf(zip_derived_cl27398,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X5 )
      | ~ ( p @ X6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27395]) ).

thf(zip_derived_cl5390_151,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__55 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5383,zip_derived_cl603]) ).

thf(zip_derived_cl27400,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ X6 )
      | ~ ( p @ X5 )
      | ~ ( p @ ( sk__51 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl27398,zip_derived_cl5390]) ).

thf(zip_derived_cl7093_152,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ( p @ ( sk__51 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )
      | ( p @ ( sk__50 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl655,zip_derived_cl7092]) ).

thf(zip_derived_cl27401,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X5 )
      | ~ ( p @ X6 )
      | ( p @ ( sk__50 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl27400,zip_derived_cl7093]) ).

thf(zip_derived_cl27409,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ X5 )
      | ~ ( p @ X6 )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X6 )
      | ~ ( p @ X5 )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1954,zip_derived_cl27401]) ).

thf(zip_derived_cl27412,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X6 )
      | ~ ( p @ X5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27409]) ).

thf(zip_derived_cl27416,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X5 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl27412]) ).

thf(zip_derived_cl27417,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl27416]) ).

thf(zip_derived_cl2482_153,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ X4 )
      | ~ ( p @ X3 )
      | ( p @ ( sk__40 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__30 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2452,zip_derived_cl618]) ).

thf(zip_derived_cl27418,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__39 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__30 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X3 )
      | ~ ( p @ X4 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl27417,zip_derived_cl2482]) ).

thf(zip_derived_cl27431,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ ( sk__30 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__36 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__22 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__16 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X4 )
      | ~ ( p @ X3 )
      | ~ ( p @ ( sk__30 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6135,zip_derived_cl27418]) ).

thf(zip_derived_cl27437,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X3 )
      | ~ ( p @ X4 )
      | ~ ( p @ ( sk__16 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__22 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__36 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__30 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27431]) ).

thf(zip_derived_cl192_154,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__429 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__428 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__41 @ X18 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl822,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__34 @ X0 @ X1 @ X2 @ X3 @ X4 ) )
      | ~ ( p @ ( sk__429 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2281,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__41 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__428 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl192,zip_derived_cl822]) ).

thf(zip_derived_cl2714_155,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__428 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__16 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__22 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl587,zip_derived_cl570]) ).

thf(zip_derived_cl5033,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__41 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__22 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__16 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2281,zip_derived_cl2714]) ).

thf(zip_derived_cl711_156,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( p @ ( sk__41 @ X0 @ X1 @ X2 @ X3 @ X4 ) )
      | ~ ( p @ ( sk__30 @ X0 @ X1 @ X2 @ X3 @ X4 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl5040,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ ( sk__16 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__22 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__30 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5033,zip_derived_cl711]) ).

thf(zip_derived_cl27630,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ ( sk__30 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__36 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__22 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__16 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X4 )
      | ~ ( p @ X3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl27437,zip_derived_cl5040]) ).

thf(zip_derived_cl27636,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ X4 )
      | ~ ( p @ X3 )
      | ~ ( p @ ( sk__30 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X3 )
      | ~ ( p @ X4 )
      | ~ ( p @ ( sk__16 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__22 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__30 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl14158,zip_derived_cl27630]) ).

thf(zip_derived_cl27637,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ ( sk__22 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__16 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__30 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X3 )
      | ~ ( p @ X4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27636]) ).

thf(zip_derived_cl5040_157,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ ( sk__16 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__22 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__34 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__30 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5033,zip_derived_cl711]) ).

thf(zip_derived_cl27639,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ X4 )
      | ~ ( p @ X3 )
      | ~ ( p @ ( sk__30 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__16 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__22 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl27637,zip_derived_cl5040]) ).

thf(zip_derived_cl1041,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( p @ ( sk__29 @ X0 @ X1 @ X2 @ X3 @ X4 ) )
      | ( p @ ( sk__30 @ X0 @ X1 @ X2 @ X3 @ X4 ) )
      | ~ ( p @ ( sk__28 @ X2 @ X3 @ X4 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl277,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__29 @ X0 @ X1 @ X2 @ X3 @ X4 ) )
      | ~ ( p @ ( sk__433 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 ) )
      | ~ ( p @ ( sk__434 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 ) )
      | ~ ( p @ ( sk__435 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl767,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X0 )
      | ( p @ ( sk__435 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X0 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2593,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__434 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__433 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__29 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X3 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl277,zip_derived_cl767]) ).

thf(zip_derived_cl1022,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__433 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X19 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl6436,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X3 )
      | ( p @ ( sk__29 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__434 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2593,zip_derived_cl1022]) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ X0 )
      | ( p @ ( sk__434 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X0 @ X19 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl6437,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( p @ ( sk__29 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X3 )
      | ( p @ X4 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6436,zip_derived_cl54]) ).

thf(zip_derived_cl601,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ ( sk__29 @ X0 @ X1 @ X2 @ X3 @ X4 ) )
      | ( p @ ( sk__28 @ X2 @ X3 @ X4 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl6445,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( p @ X4 )
      | ( p @ X3 )
      | ( p @ ( sk__28 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6437,zip_derived_cl601]) ).

thf(zip_derived_cl6457,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( p @ ( sk__28 @ X2 @ X1 @ X0 ) )
      | ( p @ X3 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl6445]) ).

thf(zip_derived_cl6458,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( p @ ( sk__28 @ X2 @ X1 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl6457]) ).

thf(zip_derived_cl6459,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( p @ ( sk__29 @ X0 @ X1 @ X2 @ X3 @ X4 ) )
      | ( p @ ( sk__30 @ X0 @ X1 @ X2 @ X3 @ X4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1041,zip_derived_cl6458]) ).

thf(zip_derived_cl27640,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ ( sk__22 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__16 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X3 )
      | ~ ( p @ X4 )
      | ( p @ ( sk__29 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl27639,zip_derived_cl6459]) ).

thf(zip_derived_cl277_158,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__29 @ X0 @ X1 @ X2 @ X3 @ X4 ) )
      | ~ ( p @ ( sk__433 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 ) )
      | ~ ( p @ ( sk__434 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 ) )
      | ~ ( p @ ( sk__435 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 @ X3 @ X4 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1139,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__435 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__22 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2592,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__434 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__433 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__29 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__22 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl277,zip_derived_cl1139]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__434 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X19 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl6832,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__22 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__29 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__433 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X3 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2592,zip_derived_cl65]) ).

thf(zip_derived_cl910,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__433 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X18 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl6891,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ X3 )
      | ( p @ ( sk__29 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__22 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X4 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6832,zip_derived_cl910]) ).

thf(zip_derived_cl27648,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( p @ ( sk__29 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X4 )
      | ~ ( p @ X3 )
      | ~ ( p @ ( sk__16 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl27640,zip_derived_cl6891]) ).

thf(zip_derived_cl27653,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ X3 )
      | ~ ( p @ X4 )
      | ~ ( p @ ( sk__22 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__16 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X3 )
      | ~ ( p @ X4 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1930,zip_derived_cl27648]) ).

thf(zip_derived_cl27656,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ ( sk__16 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__22 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X4 )
      | ~ ( p @ X3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27653]) ).

thf(zip_derived_cl27661,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( p @ ( sk__16 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__22 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X3 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl27656]) ).

thf(zip_derived_cl27662,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( p @ ( sk__16 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__22 @ X2 @ X1 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl27661]) ).

thf(zip_derived_cl229,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__22 @ X0 @ X1 @ X2 ) )
      | ( p @ ( sk__436 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 @ X1 @ X2 ) )
      | ~ ( p @ ( sk__26 @ X0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl386,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ X1 )
      | ~ ( p @ ( sk__436 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X0 @ X1 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2109,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( p @ ( sk__26 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__22 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X1 )
      | ~ ( p @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl386]) ).

thf(zip_derived_cl1235,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( p @ ( sk__26 @ X0 @ X1 @ X2 ) )
      | ~ ( p @ ( sk__13 @ X0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl2131,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( p @ X2 )
      | ~ ( p @ X1 )
      | ( p @ ( sk__22 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__13 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2109,zip_derived_cl1235]) ).

thf(zip_derived_cl27663,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( p @ ( sk__16 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__13 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X1 )
      | ~ ( p @ X2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl27662,zip_derived_cl2131]) ).

thf(zip_derived_cl27670,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( p @ ( sk__13 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__9 @ X0 ) )
      | ~ ( p @ ( sk__6 @ X0 ) )
      | ~ ( p @ X2 )
      | ~ ( p @ X1 )
      | ~ ( p @ ( sk__13 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4734,zip_derived_cl27663]) ).

thf(zip_derived_cl27672,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( p @ X1 )
      | ~ ( p @ X2 )
      | ~ ( p @ ( sk__6 @ X0 ) )
      | ~ ( p @ ( sk__9 @ X0 ) )
      | ~ ( p @ ( sk__13 @ X2 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27670]) ).

thf(zip_derived_cl906,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( p @ ( sk__12 @ X0 @ X1 @ X2 ) )
      | ~ ( p @ ( sk__11 @ X2 ) )
      | ( p @ ( sk__13 @ X0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1167,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__447 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__446 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__12 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl568,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__447 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X20 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1735,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__12 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__446 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
      | ( p @ X2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1167,zip_derived_cl568]) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__446 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ X20 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1743,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( p @ X2 )
      | ( p @ ( sk__12 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1735,zip_derived_cl75]) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( p @ ( sk__11 @ X0 ) )
      | ~ ( p @ ( sk__12 @ X1 @ X2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1744,plain,
    ! [X0: $i,X2: $i] :
      ( ( p @ X2 )
      | ( p @ ( sk__11 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1743,zip_derived_cl78]) ).

thf(zip_derived_cl1746,plain,
    ! [X0: $i] : ( p @ ( sk__11 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl1744]) ).

thf(zip_derived_cl1747,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( p @ ( sk__12 @ X0 @ X1 @ X2 ) )
      | ( p @ ( sk__13 @ X0 @ X1 @ X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl906,zip_derived_cl1746]) ).

thf(zip_derived_cl27677,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( p @ ( sk__9 @ X0 ) )
      | ~ ( p @ ( sk__6 @ X0 ) )
      | ~ ( p @ X2 )
      | ~ ( p @ X1 )
      | ( p @ ( sk__12 @ X2 @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl27672,zip_derived_cl1747]) ).

thf(zip_derived_cl262,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__447 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__9 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1167_159,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__447 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ ( sk__446 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ( p @ ( sk__12 @ X20 @ X21 @ X22 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1820,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__9 @ X0 ) )
      | ( p @ ( sk__12 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ ( sk__446 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl1167]) ).

thf(zip_derived_cl829,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__446 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 ) )
      | ~ ( p @ X21 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1835,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( p @ ( sk__12 @ X2 @ X1 @ X0 ) )
      | ( p @ ( sk__9 @ X0 ) )
      | ~ ( p @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1820,zip_derived_cl829]) ).

thf(zip_derived_cl27707,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( p @ ( sk__12 @ X2 @ X1 @ X0 ) )
      | ~ ( p @ X1 )
      | ~ ( p @ X2 )
      | ~ ( p @ ( sk__6 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl27677,zip_derived_cl1835]) ).

thf(zip_derived_cl1743_160,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( p @ X2 )
      | ( p @ ( sk__12 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1735,zip_derived_cl75]) ).

thf(zip_derived_cl27708,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( p @ ( sk__6 @ X0 ) )
      | ~ ( p @ X1 )
      | ( p @ ( sk__12 @ X2 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl27707,zip_derived_cl1743]) ).

thf(zip_derived_cl27711,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( p @ X1 )
      | ~ ( p @ X2 )
      | ~ ( p @ ( sk__9 @ X0 ) )
      | ~ ( p @ X1 )
      | ~ ( p @ ( sk__6 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1801,zip_derived_cl27708]) ).

thf(zip_derived_cl27713,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( p @ ( sk__6 @ X0 ) )
      | ~ ( p @ ( sk__9 @ X0 ) )
      | ~ ( p @ X2 )
      | ~ ( p @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27711]) ).

thf(zip_derived_cl27715,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( p @ ( sk__6 @ X0 ) )
      | ~ ( p @ ( sk__9 @ X0 ) )
      | ~ ( p @ X1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl27713]) ).

thf(zip_derived_cl27716,plain,
    ! [X0: $i] :
      ( ~ ( p @ ( sk__6 @ X0 ) )
      | ~ ( p @ ( sk__9 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl27715]) ).

thf(zip_derived_cl1049,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__10 @ X0 ) )
      | ( p @ ( sk__448 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 ) )
      | ~ ( p @ X0 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl365,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__9 @ X0 ) )
      | ~ ( p @ ( sk__448 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1897,plain,
    ! [X0: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ ( sk__10 @ X0 ) )
      | ( p @ ( sk__9 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1049,zip_derived_cl365]) ).

thf(zip_derived_cl858,plain,
    ! [X0: $i] :
      ( ( p @ ( sk__10 @ X0 ) )
      | ~ ( p @ ( sk__4 @ X0 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1905,plain,
    ! [X0: $i] :
      ( ( p @ ( sk__9 @ X0 ) )
      | ~ ( p @ X0 )
      | ~ ( p @ ( sk__4 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1897,zip_derived_cl858]) ).

thf(zip_derived_cl27717,plain,
    ! [X0: $i] :
      ( ~ ( p @ ( sk__6 @ X0 ) )
      | ~ ( p @ ( sk__4 @ X0 ) )
      | ~ ( p @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl27716,zip_derived_cl1905]) ).

thf(zip_derived_cl1049_161,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( p @ ( sk__10 @ X0 ) )
      | ( p @ ( sk__448 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 ) )
      | ~ ( p @ X0 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1042,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( p @ ( sk__6 @ X0 ) )
      | ~ ( p @ ( sk__448 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X0 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1898,plain,
    ! [X0: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ ( sk__10 @ X0 ) )
      | ( p @ ( sk__6 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1049,zip_derived_cl1042]) ).

thf(zip_derived_cl858_162,plain,
    ! [X0: $i] :
      ( ( p @ ( sk__10 @ X0 ) )
      | ~ ( p @ ( sk__4 @ X0 ) ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1917,plain,
    ! [X0: $i] :
      ( ( p @ ( sk__6 @ X0 ) )
      | ~ ( p @ X0 )
      | ~ ( p @ ( sk__4 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1898,zip_derived_cl858]) ).

thf(zip_derived_cl27719,plain,
    ! [X0: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ ( sk__4 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl27717,zip_derived_cl1917]) ).

thf(zip_derived_cl1164,plain,
    ! [X0: $i] :
      ( ( p @ ( sk__4 @ X0 ) )
      | ( p @ ( sk__3 @ X0 ) )
      | ~ ( p @ sk__2 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl21,plain,
    ( ~ ( p @ sk_ )
    | ( p @ sk__2 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl876_163,plain,
    p @ sk_,
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl1239,plain,
    p @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl876]) ).

thf(zip_derived_cl1248,plain,
    ! [X0: $i] :
      ( ( p @ ( sk__4 @ X0 ) )
      | ( p @ ( sk__3 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1164,zip_derived_cl1239]) ).

thf(zip_derived_cl27720,plain,
    ! [X0: $i] :
      ( ~ ( p @ X0 )
      | ( p @ ( sk__3 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl27719,zip_derived_cl1248]) ).

thf(zip_derived_cl721,plain,
    ! [X0: $i] :
      ( ( p @ ( sk__3 @ X0 ) )
      | ( p @ X0 ) ),
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl27742,plain,
    ! [X0: $i] : ( p @ ( sk__3 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl27720,zip_derived_cl721]) ).

thf(zip_derived_cl27743,plain,
    ! [X0: $i] :
      ~ ( p @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl1241,zip_derived_cl27742]) ).

thf(zip_derived_cl6,plain,
    p @ true,
    inference(cnf,[status(esa)],[quant]) ).

thf(zip_derived_cl28252,plain,
    $false,
    inference('sup+',[status(thm)],[zip_derived_cl27743,zip_derived_cl6]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYO594+1 : TPTP v8.1.2. Bugfixed v5.5.1.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SyWf3sNtVZ true
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 04:58:51 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35  % Number of cores: 8
% 0.20/0.36  % Python version: Python 3.6.8
% 0.20/0.36  % Running in FO mode
% 0.56/0.64  % Total configuration time : 435
% 0.56/0.64  % Estimated wc time : 1092
% 0.56/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 194.04/28.39  % Solved by fo/fo3_bce.sh.
% 194.04/28.39  % BCE start: 1239
% 194.04/28.39  % BCE eliminated: 0
% 194.04/28.39  % PE start: 1239
% 194.04/28.39  logic: eq
% 194.04/28.39  % PE eliminated: 0
% 194.04/28.39  % done 8906 iterations in 27.433s
% 194.04/28.39  % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 194.04/28.39  % SZS output start Refutation
% See solution above
% 194.58/28.42  
% 194.58/28.42  
% 194.58/28.42  % Terminating...
% 195.17/28.53  % Runner terminated.
% 195.17/28.54  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------