%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM376+1.015 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.H9ejlmQidw true

% Computer : n018.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 : Thu Aug 31 12:40:20 EDT 2023

% Result   : Unsatisfiable 7.24s 1.56s
% Output   : Refutation 7.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   22
% Syntax   : Number of formulae    : 4141 (2301 unt;  21 typ;   0 def)
%            Number of atoms       : 7399 (7398 equ;   0 cnn)
%            Maximal formula atoms :  441 (   1 avg)
%            Number of connectives : 21073 (1935   ~; 346   |;1375   &;15859   @)
%                                         (   0 <=>;   0  =>;1558  <=;   0 <~>)
%            Maximal formula depth :  413 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  21 usr;  19 con; 0-2 aty)
%            Number of variables   :    2 (   0   ^;   0   !;   2   ?;   2   :)

% Comments : 
%------------------------------------------------------------------------------
thf(n12_type,type,
    n12: $i ).

thf(n0_type,type,
    n0: $i ).

thf(pred_type,type,
    pred: $i > $i ).

thf(n4_type,type,
    n4: $i ).

thf(n8_type,type,
    n8: $i ).

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

thf(n5_type,type,
    n5: $i ).

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

thf(succ_type,type,
    succ: $i > $i ).

thf(n14_type,type,
    n14: $i ).

thf(n11_type,type,
    n11: $i ).

thf(n10_type,type,
    n10: $i ).

thf(sum_type,type,
    sum: $i > $i > $i ).

thf(n7_type,type,
    n7: $i ).

thf(n1_type,type,
    n1: $i ).

thf(n9_type,type,
    n9: $i ).

thf(n15_type,type,
    n15: $i ).

thf(n13_type,type,
    n13: $i ).

thf(n6_type,type,
    n6: $i ).

thf(n2_type,type,
    n2: $i ).

thf(n3_type,type,
    n3: $i ).

thf(try_satisfy_this,axiom,
    ? [X: $i,Y: $i] :
      ( ( n14 != n15 )
      & ( n13 != n15 )
      & ( n13 != n14 )
      & ( n12 != n15 )
      & ( n12 != n14 )
      & ( n12 != n13 )
      & ( n11 != n15 )
      & ( n11 != n14 )
      & ( n11 != n13 )
      & ( n11 != n12 )
      & ( n10 != n15 )
      & ( n10 != n14 )
      & ( n10 != n13 )
      & ( n10 != n12 )
      & ( n10 != n11 )
      & ( n9 != n15 )
      & ( n9 != n14 )
      & ( n9 != n13 )
      & ( n9 != n12 )
      & ( n9 != n11 )
      & ( n9 != n10 )
      & ( n8 != n15 )
      & ( n8 != n14 )
      & ( n8 != n13 )
      & ( n8 != n12 )
      & ( n8 != n11 )
      & ( n8 != n10 )
      & ( n8 != n9 )
      & ( n7 != n15 )
      & ( n7 != n14 )
      & ( n7 != n13 )
      & ( n7 != n12 )
      & ( n7 != n11 )
      & ( n7 != n10 )
      & ( n7 != n9 )
      & ( n7 != n8 )
      & ( n6 != n15 )
      & ( n6 != n14 )
      & ( n6 != n13 )
      & ( n6 != n12 )
      & ( n6 != n11 )
      & ( n6 != n10 )
      & ( n6 != n9 )
      & ( n6 != n8 )
      & ( n6 != n7 )
      & ( n5 != n15 )
      & ( n5 != n14 )
      & ( n5 != n13 )
      & ( n5 != n12 )
      & ( n5 != n11 )
      & ( n5 != n10 )
      & ( n5 != n9 )
      & ( n5 != n8 )
      & ( n5 != n7 )
      & ( n5 != n6 )
      & ( n4 != n15 )
      & ( n4 != n14 )
      & ( n4 != n13 )
      & ( n4 != n12 )
      & ( n4 != n11 )
      & ( n4 != n10 )
      & ( n4 != n9 )
      & ( n4 != n8 )
      & ( n4 != n7 )
      & ( n4 != n6 )
      & ( n4 != n5 )
      & ( n3 != n15 )
      & ( n3 != n14 )
      & ( n3 != n13 )
      & ( n3 != n12 )
      & ( n3 != n11 )
      & ( n3 != n10 )
      & ( n3 != n9 )
      & ( n3 != n8 )
      & ( n3 != n7 )
      & ( n3 != n6 )
      & ( n3 != n5 )
      & ( n3 != n4 )
      & ( n2 != n15 )
      & ( n2 != n14 )
      & ( n2 != n13 )
      & ( n2 != n12 )
      & ( n2 != n11 )
      & ( n2 != n10 )
      & ( n2 != n9 )
      & ( n2 != n8 )
      & ( n2 != n7 )
      & ( n2 != n6 )
      & ( n2 != n5 )
      & ( n2 != n4 )
      & ( n2 != n3 )
      & ( n1 != n15 )
      & ( n1 != n14 )
      & ( n1 != n13 )
      & ( n1 != n12 )
      & ( n1 != n11 )
      & ( n1 != n10 )
      & ( n1 != n9 )
      & ( n1 != n8 )
      & ( n1 != n7 )
      & ( n1 != n6 )
      & ( n1 != n5 )
      & ( n1 != n4 )
      & ( n1 != n3 )
      & ( n1 != n2 )
      & ( n0 != n15 )
      & ( n0 != n14 )
      & ( n0 != n13 )
      & ( n0 != n12 )
      & ( n0 != n11 )
      & ( n0 != n10 )
      & ( n0 != n9 )
      & ( n0 != n8 )
      & ( n0 != n7 )
      & ( n0 != n6 )
      & ( n0 != n5 )
      & ( n0 != n4 )
      & ( n0 != n3 )
      & ( n0 != n2 )
      & ( n0 != n1 )
      & ( ( sum @ ( sum @ ( pred @ X ) @ ( succ @ Y ) ) @ ( sum @ ( pred @ Y ) @ ( succ @ X ) ) )
       != ( sum @ ( sum @ ( pred @ X ) @ ( succ @ X ) ) @ ( sum @ ( pred @ Y ) @ ( succ @ Y ) ) ) )
      & ( ( Y = n15 )
        | ( Y = n14 )
        | ( Y = n13 )
        | ( Y = n12 )
        | ( Y = n11 )
        | ( Y = n10 )
        | ( Y = n9 )
        | ( Y = n8 )
        | ( Y = n7 )
        | ( Y = n6 )
        | ( Y = n5 )
        | ( Y = n4 )
        | ( Y = n3 )
        | ( Y = n2 )
        | ( Y = n1 )
        | ( Y = n0 ) )
      & ( ( X = n15 )
        | ( X = n14 )
        | ( X = n13 )
        | ( X = n12 )
        | ( X = n11 )
        | ( X = n10 )
        | ( X = n9 )
        | ( X = n8 )
        | ( X = n7 )
        | ( X = n6 )
        | ( X = n5 )
        | ( X = n4 )
        | ( X = n3 )
        | ( X = n2 )
        | ( X = n1 )
        | ( X = n0 ) )
      & ( ( sum @ n15 @ n15 )
        = n14 )
      & ( ( sum @ n15 @ n14 )
        = n13 )
      & ( ( sum @ n15 @ n13 )
        = n12 )
      & ( ( sum @ n15 @ n12 )
        = n11 )
      & ( ( sum @ n15 @ n11 )
        = n10 )
      & ( ( sum @ n15 @ n10 )
        = n9 )
      & ( ( sum @ n15 @ n9 )
        = n8 )
      & ( ( sum @ n15 @ n8 )
        = n7 )
      & ( ( sum @ n15 @ n7 )
        = n6 )
      & ( ( sum @ n15 @ n6 )
        = n5 )
      & ( ( sum @ n15 @ n5 )
        = n4 )
      & ( ( sum @ n15 @ n4 )
        = n3 )
      & ( ( sum @ n15 @ n3 )
        = n2 )
      & ( ( sum @ n15 @ n2 )
        = n1 )
      & ( ( sum @ n15 @ n1 )
        = n0 )
      & ( ( sum @ n15 @ n0 )
        = n15 )
      & ( ( sum @ n14 @ n15 )
        = n13 )
      & ( ( sum @ n14 @ n14 )
        = n12 )
      & ( ( sum @ n14 @ n13 )
        = n11 )
      & ( ( sum @ n14 @ n12 )
        = n10 )
      & ( ( sum @ n14 @ n11 )
        = n9 )
      & ( ( sum @ n14 @ n10 )
        = n8 )
      & ( ( sum @ n14 @ n9 )
        = n7 )
      & ( ( sum @ n14 @ n8 )
        = n6 )
      & ( ( sum @ n14 @ n7 )
        = n5 )
      & ( ( sum @ n14 @ n6 )
        = n4 )
      & ( ( sum @ n14 @ n5 )
        = n3 )
      & ( ( sum @ n14 @ n4 )
        = n2 )
      & ( ( sum @ n14 @ n3 )
        = n1 )
      & ( ( sum @ n14 @ n2 )
        = n0 )
      & ( ( sum @ n14 @ n1 )
        = n15 )
      & ( ( sum @ n14 @ n0 )
        = n14 )
      & ( ( sum @ n13 @ n15 )
        = n12 )
      & ( ( sum @ n13 @ n14 )
        = n11 )
      & ( ( sum @ n13 @ n13 )
        = n10 )
      & ( ( sum @ n13 @ n12 )
        = n9 )
      & ( ( sum @ n13 @ n11 )
        = n8 )
      & ( ( sum @ n13 @ n10 )
        = n7 )
      & ( ( sum @ n13 @ n9 )
        = n6 )
      & ( ( sum @ n13 @ n8 )
        = n5 )
      & ( ( sum @ n13 @ n7 )
        = n4 )
      & ( ( sum @ n13 @ n6 )
        = n3 )
      & ( ( sum @ n13 @ n5 )
        = n2 )
      & ( ( sum @ n13 @ n4 )
        = n1 )
      & ( ( sum @ n13 @ n3 )
        = n0 )
      & ( ( sum @ n13 @ n2 )
        = n15 )
      & ( ( sum @ n13 @ n1 )
        = n14 )
      & ( ( sum @ n13 @ n0 )
        = n13 )
      & ( ( sum @ n12 @ n15 )
        = n11 )
      & ( ( sum @ n12 @ n14 )
        = n10 )
      & ( ( sum @ n12 @ n13 )
        = n9 )
      & ( ( sum @ n12 @ n12 )
        = n8 )
      & ( ( sum @ n12 @ n11 )
        = n7 )
      & ( ( sum @ n12 @ n10 )
        = n6 )
      & ( ( sum @ n12 @ n9 )
        = n5 )
      & ( ( sum @ n12 @ n8 )
        = n4 )
      & ( ( sum @ n12 @ n7 )
        = n3 )
      & ( ( sum @ n12 @ n6 )
        = n2 )
      & ( ( sum @ n12 @ n5 )
        = n1 )
      & ( ( sum @ n12 @ n4 )
        = n0 )
      & ( ( sum @ n12 @ n3 )
        = n15 )
      & ( ( sum @ n12 @ n2 )
        = n14 )
      & ( ( sum @ n12 @ n1 )
        = n13 )
      & ( ( sum @ n12 @ n0 )
        = n12 )
      & ( ( sum @ n11 @ n15 )
        = n10 )
      & ( ( sum @ n11 @ n14 )
        = n9 )
      & ( ( sum @ n11 @ n13 )
        = n8 )
      & ( ( sum @ n11 @ n12 )
        = n7 )
      & ( ( sum @ n11 @ n11 )
        = n6 )
      & ( ( sum @ n11 @ n10 )
        = n5 )
      & ( ( sum @ n11 @ n9 )
        = n4 )
      & ( ( sum @ n11 @ n8 )
        = n3 )
      & ( ( sum @ n11 @ n7 )
        = n2 )
      & ( ( sum @ n11 @ n6 )
        = n1 )
      & ( ( sum @ n11 @ n5 )
        = n0 )
      & ( ( sum @ n11 @ n4 )
        = n15 )
      & ( ( sum @ n11 @ n3 )
        = n14 )
      & ( ( sum @ n11 @ n2 )
        = n13 )
      & ( ( sum @ n11 @ n1 )
        = n12 )
      & ( ( sum @ n11 @ n0 )
        = n11 )
      & ( ( sum @ n10 @ n15 )
        = n9 )
      & ( ( sum @ n10 @ n14 )
        = n8 )
      & ( ( sum @ n10 @ n13 )
        = n7 )
      & ( ( sum @ n10 @ n12 )
        = n6 )
      & ( ( sum @ n10 @ n11 )
        = n5 )
      & ( ( sum @ n10 @ n10 )
        = n4 )
      & ( ( sum @ n10 @ n9 )
        = n3 )
      & ( ( sum @ n10 @ n8 )
        = n2 )
      & ( ( sum @ n10 @ n7 )
        = n1 )
      & ( ( sum @ n10 @ n6 )
        = n0 )
      & ( ( sum @ n10 @ n5 )
        = n15 )
      & ( ( sum @ n10 @ n4 )
        = n14 )
      & ( ( sum @ n10 @ n3 )
        = n13 )
      & ( ( sum @ n10 @ n2 )
        = n12 )
      & ( ( sum @ n10 @ n1 )
        = n11 )
      & ( ( sum @ n10 @ n0 )
        = n10 )
      & ( ( sum @ n9 @ n15 )
        = n8 )
      & ( ( sum @ n9 @ n14 )
        = n7 )
      & ( ( sum @ n9 @ n13 )
        = n6 )
      & ( ( sum @ n9 @ n12 )
        = n5 )
      & ( ( sum @ n9 @ n11 )
        = n4 )
      & ( ( sum @ n9 @ n10 )
        = n3 )
      & ( ( sum @ n9 @ n9 )
        = n2 )
      & ( ( sum @ n9 @ n8 )
        = n1 )
      & ( ( sum @ n9 @ n7 )
        = n0 )
      & ( ( sum @ n9 @ n6 )
        = n15 )
      & ( ( sum @ n9 @ n5 )
        = n14 )
      & ( ( sum @ n9 @ n4 )
        = n13 )
      & ( ( sum @ n9 @ n3 )
        = n12 )
      & ( ( sum @ n9 @ n2 )
        = n11 )
      & ( ( sum @ n9 @ n1 )
        = n10 )
      & ( ( sum @ n9 @ n0 )
        = n9 )
      & ( ( sum @ n8 @ n15 )
        = n7 )
      & ( ( sum @ n8 @ n14 )
        = n6 )
      & ( ( sum @ n8 @ n13 )
        = n5 )
      & ( ( sum @ n8 @ n12 )
        = n4 )
      & ( ( sum @ n8 @ n11 )
        = n3 )
      & ( ( sum @ n8 @ n10 )
        = n2 )
      & ( ( sum @ n8 @ n9 )
        = n1 )
      & ( ( sum @ n8 @ n8 )
        = n0 )
      & ( ( sum @ n8 @ n7 )
        = n15 )
      & ( ( sum @ n8 @ n6 )
        = n14 )
      & ( ( sum @ n8 @ n5 )
        = n13 )
      & ( ( sum @ n8 @ n4 )
        = n12 )
      & ( ( sum @ n8 @ n3 )
        = n11 )
      & ( ( sum @ n8 @ n2 )
        = n10 )
      & ( ( sum @ n8 @ n1 )
        = n9 )
      & ( ( sum @ n8 @ n0 )
        = n8 )
      & ( ( sum @ n7 @ n15 )
        = n6 )
      & ( ( sum @ n7 @ n14 )
        = n5 )
      & ( ( sum @ n7 @ n13 )
        = n4 )
      & ( ( sum @ n7 @ n12 )
        = n3 )
      & ( ( sum @ n7 @ n11 )
        = n2 )
      & ( ( sum @ n7 @ n10 )
        = n1 )
      & ( ( sum @ n7 @ n9 )
        = n0 )
      & ( ( sum @ n7 @ n8 )
        = n15 )
      & ( ( sum @ n7 @ n7 )
        = n14 )
      & ( ( sum @ n7 @ n6 )
        = n13 )
      & ( ( sum @ n7 @ n5 )
        = n12 )
      & ( ( sum @ n7 @ n4 )
        = n11 )
      & ( ( sum @ n7 @ n3 )
        = n10 )
      & ( ( sum @ n7 @ n2 )
        = n9 )
      & ( ( sum @ n7 @ n1 )
        = n8 )
      & ( ( sum @ n7 @ n0 )
        = n7 )
      & ( ( sum @ n6 @ n15 )
        = n5 )
      & ( ( sum @ n6 @ n14 )
        = n4 )
      & ( ( sum @ n6 @ n13 )
        = n3 )
      & ( ( sum @ n6 @ n12 )
        = n2 )
      & ( ( sum @ n6 @ n11 )
        = n1 )
      & ( ( sum @ n6 @ n10 )
        = n0 )
      & ( ( sum @ n6 @ n9 )
        = n15 )
      & ( ( sum @ n6 @ n8 )
        = n14 )
      & ( ( sum @ n6 @ n7 )
        = n13 )
      & ( ( sum @ n6 @ n6 )
        = n12 )
      & ( ( sum @ n6 @ n5 )
        = n11 )
      & ( ( sum @ n6 @ n4 )
        = n10 )
      & ( ( sum @ n6 @ n3 )
        = n9 )
      & ( ( sum @ n6 @ n2 )
        = n8 )
      & ( ( sum @ n6 @ n1 )
        = n7 )
      & ( ( sum @ n6 @ n0 )
        = n6 )
      & ( ( sum @ n5 @ n15 )
        = n4 )
      & ( ( sum @ n5 @ n14 )
        = n3 )
      & ( ( sum @ n5 @ n13 )
        = n2 )
      & ( ( sum @ n5 @ n12 )
        = n1 )
      & ( ( sum @ n5 @ n11 )
        = n0 )
      & ( ( sum @ n5 @ n10 )
        = n15 )
      & ( ( sum @ n5 @ n9 )
        = n14 )
      & ( ( sum @ n5 @ n8 )
        = n13 )
      & ( ( sum @ n5 @ n7 )
        = n12 )
      & ( ( sum @ n5 @ n6 )
        = n11 )
      & ( ( sum @ n5 @ n5 )
        = n10 )
      & ( ( sum @ n5 @ n4 )
        = n9 )
      & ( ( sum @ n5 @ n3 )
        = n8 )
      & ( ( sum @ n5 @ n2 )
        = n7 )
      & ( ( sum @ n5 @ n1 )
        = n6 )
      & ( ( sum @ n5 @ n0 )
        = n5 )
      & ( ( sum @ n4 @ n15 )
        = n3 )
      & ( ( sum @ n4 @ n14 )
        = n2 )
      & ( ( sum @ n4 @ n13 )
        = n1 )
      & ( ( sum @ n4 @ n12 )
        = n0 )
      & ( ( sum @ n4 @ n11 )
        = n15 )
      & ( ( sum @ n4 @ n10 )
        = n14 )
      & ( ( sum @ n4 @ n9 )
        = n13 )
      & ( ( sum @ n4 @ n8 )
        = n12 )
      & ( ( sum @ n4 @ n7 )
        = n11 )
      & ( ( sum @ n4 @ n6 )
        = n10 )
      & ( ( sum @ n4 @ n5 )
        = n9 )
      & ( ( sum @ n4 @ n4 )
        = n8 )
      & ( ( sum @ n4 @ n3 )
        = n7 )
      & ( ( sum @ n4 @ n2 )
        = n6 )
      & ( ( sum @ n4 @ n1 )
        = n5 )
      & ( ( sum @ n4 @ n0 )
        = n4 )
      & ( ( sum @ n3 @ n15 )
        = n2 )
      & ( ( sum @ n3 @ n14 )
        = n1 )
      & ( ( sum @ n3 @ n13 )
        = n0 )
      & ( ( sum @ n3 @ n12 )
        = n15 )
      & ( ( sum @ n3 @ n11 )
        = n14 )
      & ( ( sum @ n3 @ n10 )
        = n13 )
      & ( ( sum @ n3 @ n9 )
        = n12 )
      & ( ( sum @ n3 @ n8 )
        = n11 )
      & ( ( sum @ n3 @ n7 )
        = n10 )
      & ( ( sum @ n3 @ n6 )
        = n9 )
      & ( ( sum @ n3 @ n5 )
        = n8 )
      & ( ( sum @ n3 @ n4 )
        = n7 )
      & ( ( sum @ n3 @ n3 )
        = n6 )
      & ( ( sum @ n3 @ n2 )
        = n5 )
      & ( ( sum @ n3 @ n1 )
        = n4 )
      & ( ( sum @ n3 @ n0 )
        = n3 )
      & ( ( sum @ n2 @ n15 )
        = n1 )
      & ( ( sum @ n2 @ n14 )
        = n0 )
      & ( ( sum @ n2 @ n13 )
        = n15 )
      & ( ( sum @ n2 @ n12 )
        = n14 )
      & ( ( sum @ n2 @ n11 )
        = n13 )
      & ( ( sum @ n2 @ n10 )
        = n12 )
      & ( ( sum @ n2 @ n9 )
        = n11 )
      & ( ( sum @ n2 @ n8 )
        = n10 )
      & ( ( sum @ n2 @ n7 )
        = n9 )
      & ( ( sum @ n2 @ n6 )
        = n8 )
      & ( ( sum @ n2 @ n5 )
        = n7 )
      & ( ( sum @ n2 @ n4 )
        = n6 )
      & ( ( sum @ n2 @ n3 )
        = n5 )
      & ( ( sum @ n2 @ n2 )
        = n4 )
      & ( ( sum @ n2 @ n1 )
        = n3 )
      & ( ( sum @ n2 @ n0 )
        = n2 )
      & ( ( sum @ n1 @ n15 )
        = n0 )
      & ( ( sum @ n1 @ n14 )
        = n15 )
      & ( ( sum @ n1 @ n13 )
        = n14 )
      & ( ( sum @ n1 @ n12 )
        = n13 )
      & ( ( sum @ n1 @ n11 )
        = n12 )
      & ( ( sum @ n1 @ n10 )
        = n11 )
      & ( ( sum @ n1 @ n9 )
        = n10 )
      & ( ( sum @ n1 @ n8 )
        = n9 )
      & ( ( sum @ n1 @ n7 )
        = n8 )
      & ( ( sum @ n1 @ n6 )
        = n7 )
      & ( ( sum @ n1 @ n5 )
        = n6 )
      & ( ( sum @ n1 @ n4 )
        = n5 )
      & ( ( sum @ n1 @ n3 )
        = n4 )
      & ( ( sum @ n1 @ n2 )
        = n3 )
      & ( ( sum @ n1 @ n1 )
        = n2 )
      & ( ( sum @ n1 @ n0 )
        = n1 )
      & ( ( sum @ n0 @ n15 )
        = n15 )
      & ( ( sum @ n0 @ n14 )
        = n14 )
      & ( ( sum @ n0 @ n13 )
        = n13 )
      & ( ( sum @ n0 @ n12 )
        = n12 )
      & ( ( sum @ n0 @ n11 )
        = n11 )
      & ( ( sum @ n0 @ n10 )
        = n10 )
      & ( ( sum @ n0 @ n9 )
        = n9 )
      & ( ( sum @ n0 @ n8 )
        = n8 )
      & ( ( sum @ n0 @ n7 )
        = n7 )
      & ( ( sum @ n0 @ n6 )
        = n6 )
      & ( ( sum @ n0 @ n5 )
        = n5 )
      & ( ( sum @ n0 @ n4 )
        = n4 )
      & ( ( sum @ n0 @ n3 )
        = n3 )
      & ( ( sum @ n0 @ n2 )
        = n2 )
      & ( ( sum @ n0 @ n1 )
        = n1 )
      & ( ( sum @ n0 @ n0 )
        = n0 )
      & ( ( pred @ n15 )
        = n14 )
      & ( ( pred @ n14 )
        = n13 )
      & ( ( pred @ n13 )
        = n12 )
      & ( ( pred @ n12 )
        = n11 )
      & ( ( pred @ n11 )
        = n10 )
      & ( ( pred @ n10 )
        = n9 )
      & ( ( pred @ n9 )
        = n8 )
      & ( ( pred @ n8 )
        = n7 )
      & ( ( pred @ n7 )
        = n6 )
      & ( ( pred @ n6 )
        = n5 )
      & ( ( pred @ n5 )
        = n4 )
      & ( ( pred @ n4 )
        = n3 )
      & ( ( pred @ n3 )
        = n2 )
      & ( ( pred @ n2 )
        = n1 )
      & ( ( pred @ n1 )
        = n0 )
      & ( ( pred @ n0 )
        = n15 )
      & ( ( succ @ n15 )
        = n0 )
      & ( ( succ @ n14 )
        = n15 )
      & ( ( succ @ n13 )
        = n14 )
      & ( ( succ @ n12 )
        = n13 )
      & ( ( succ @ n11 )
        = n12 )
      & ( ( succ @ n10 )
        = n11 )
      & ( ( succ @ n9 )
        = n10 )
      & ( ( succ @ n8 )
        = n9 )
      & ( ( succ @ n7 )
        = n8 )
      & ( ( succ @ n6 )
        = n7 )
      & ( ( succ @ n5 )
        = n6 )
      & ( ( succ @ n4 )
        = n5 )
      & ( ( succ @ n3 )
        = n4 )
      & ( ( succ @ n2 )
        = n3 )
      & ( ( succ @ n1 )
        = n2 )
      & ( ( succ @ n0 )
        = n1 ) ) ).

thf(zip_derived_cl119,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl290,plain,
    ( ( sk_ = n15 )
    | ( sk_ = n14 )
    | ( sk_ = n13 )
    | ( sk_ = n12 )
    | ( sk_ = n11 )
    | ( sk_ = n10 )
    | ( sk_ = n9 )
    | ( sk_ = n8 )
    | ( sk_ = n7 )
    | ( sk_ = n6 )
    | ( sk_ = n5 )
    | ( sk_ = n4 )
    | ( sk_ = n3 )
    | ( sk_ = n2 )
    | ( sk_ = n1 )
    | ( sk_ = n0 ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl429,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl70,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1,plain,
    ( ( sk__1 = n15 )
    | ( sk__1 = n14 )
    | ( sk__1 = n13 )
    | ( sk__1 = n12 )
    | ( sk__1 = n11 )
    | ( sk__1 = n10 )
    | ( sk__1 = n9 )
    | ( sk__1 = n8 )
    | ( sk__1 = n7 )
    | ( sk__1 = n6 )
    | ( sk__1 = n5 )
    | ( sk__1 = n4 )
    | ( sk__1 = n3 )
    | ( sk__1 = n2 )
    | ( sk__1 = n1 )
    | ( sk__1 = n0 ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl414,plain,
    ( ( sk__1 = n3 )
   <= ( sk__1 = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl453,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n3 ) ) @ ( sum @ ( pred @ n3 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) ) )
   <= ( sk__1 = n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_001,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1183,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ ( pred @ n3 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n3 ) @ n4 ) ) )
   <= ( sk__1 = n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl453,zip_derived_cl5,zip_derived_cl5]) ).

thf(zip_derived_cl2703,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n2 @ n4 ) ) )
   <= ( sk__1 = n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl1183]) ).

thf(zip_derived_cl5759,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl2703]) ).

thf(zip_derived_cl5762,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl5759]) ).

thf(zip_derived_cl20,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl54,plain,
    ( ( sum @ n1 @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl69,plain,
    ( ( sum @ n2 @ n3 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_002,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_003,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl53,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5794,plain,
    ( ( ( sum @ n5 @ n5 )
     != ( sum @ n4 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5762,zip_derived_cl20,zip_derived_cl54,zip_derived_cl4,zip_derived_cl69,zip_derived_cl20,zip_derived_cl4,zip_derived_cl53]) ).

thf(zip_derived_cl6399,plain,
    ( ( n10
     != ( sum @ n4 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl5794]) ).

thf(zip_derived_cl104,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6402,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6399,zip_derived_cl104]) ).

thf('0',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6402]) ).

thf(zip_derived_cl289,plain,
    ( ( sum @ n15 @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl240,plain,
    ( ( sum @ n12 @ n14 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl440,plain,
    ( ( sk_ = n13 )
   <= ( sk_ = n13 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl53_004,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_005,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl413,plain,
    ( ( sk__1 = n2 )
   <= ( sk__1 = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_006,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl449,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n2 ) ) @ ( sum @ ( pred @ n2 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) ) )
   <= ( sk__1 = n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl0]) ).

thf(zip_derived_cl4_007,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_008,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1119,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ ( pred @ n2 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n2 ) @ n3 ) ) )
   <= ( sk__1 = n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl449,zip_derived_cl4,zip_derived_cl4]) ).

thf(zip_derived_cl2483,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n1 @ n3 ) ) )
   <= ( sk__1 = n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl1119]) ).

thf(zip_derived_cl5341,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl2483]) ).

thf(zip_derived_cl5355,plain,
    ( ( ( sum @ ( sum @ ( pred @ n13 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n13 ) ) )
     != ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl5341]) ).

thf(zip_derived_cl31,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl31_009,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_010,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5388,plain,
    ( ( ( sum @ ( sum @ n12 @ n3 ) @ ( sum @ n1 @ n14 ) )
     != ( sum @ ( sum @ n12 @ n14 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5355,zip_derived_cl31,zip_derived_cl15,zip_derived_cl31,zip_derived_cl15]) ).

thf(zip_derived_cl64,plain,
    ( ( sum @ n1 @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6630,plain,
    ( ( ( sum @ ( sum @ n12 @ n3 ) @ n15 )
     != ( sum @ ( sum @ n12 @ n14 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5388,zip_derived_cl64]) ).

thf(zip_derived_cl7419,plain,
    ( ( ( sum @ ( sum @ n12 @ n3 ) @ n15 )
     != ( sum @ n10 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl6630]) ).

thf(zip_derived_cl229,plain,
    ( ( sum @ n12 @ n3 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl198,plain,
    ( ( sum @ n10 @ n4 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7431,plain,
    ( ( ( sum @ n15 @ n15 )
     != n14 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7419,zip_derived_cl229,zip_derived_cl198]) ).

thf(zip_derived_cl8106,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl7431]) ).

thf('1',plain,
    ( ( sk__1 != n2 )
    | ( sk_ != n13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8106]) ).

thf(zip_derived_cl277,plain,
    ( ( sum @ n15 @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl427,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5341_011,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl2483]) ).

thf(zip_derived_cl5342,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl5341]) ).

thf(zip_derived_cl18,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl51,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_012,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_013,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5374,plain,
    ( ( ( sum @ ( sum @ n15 @ n3 ) @ n2 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5342,zip_derived_cl18,zip_derived_cl2,zip_derived_cl51,zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl7976,plain,
    ( ( ( sum @ n2 @ n2 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl277,zip_derived_cl5374]) ).

thf(zip_derived_cl68,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl275,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl38,plain,
    ( ( sum @ n0 @ n4 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7977,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7976,zip_derived_cl68,zip_derived_cl275,zip_derived_cl38]) ).

thf('2',plain,
    ( ( sk__1 != n2 )
    | ( sk_ != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7977]) ).

thf(zip_derived_cl272,plain,
    ( ( sum @ n14 @ n14 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl223,plain,
    ( ( sum @ n11 @ n13 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl439,plain,
    ( ( sk_ = n12 )
   <= ( sk_ = n12 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5341_014,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl2483]) ).

thf(zip_derived_cl5354,plain,
    ( ( ( sum @ ( sum @ ( pred @ n12 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n12 ) ) )
     != ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl5341]) ).

thf(zip_derived_cl30,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl30_015,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_016,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5387,plain,
    ( ( ( sum @ ( sum @ n11 @ n3 ) @ ( sum @ n1 @ n13 ) )
     != ( sum @ ( sum @ n11 @ n13 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5354,zip_derived_cl30,zip_derived_cl14,zip_derived_cl30,zip_derived_cl14]) ).

thf(zip_derived_cl63,plain,
    ( ( sum @ n1 @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6629,plain,
    ( ( ( sum @ ( sum @ n11 @ n3 ) @ n14 )
     != ( sum @ ( sum @ n11 @ n13 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5387,zip_derived_cl63]) ).

thf(zip_derived_cl7236,plain,
    ( ( ( sum @ ( sum @ n11 @ n3 ) @ n14 )
     != ( sum @ n8 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl6629]) ).

thf(zip_derived_cl213,plain,
    ( ( sum @ n11 @ n3 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl166,plain,
    ( ( sum @ n8 @ n4 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7247,plain,
    ( ( ( sum @ n14 @ n14 )
     != n12 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7236,zip_derived_cl213,zip_derived_cl166]) ).

thf(zip_derived_cl7869,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl7247]) ).

thf('3',plain,
    ( ( sk__1 != n2 )
    | ( sk_ != n12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7869]) ).

thf(zip_derived_cl261,plain,
    ( ( sum @ n14 @ n3 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl442,plain,
    ( ( sk_ = n15 )
   <= ( sk_ = n15 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5341_017,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl2483]) ).

thf(zip_derived_cl5357,plain,
    ( ( ( sum @ ( sum @ ( pred @ n15 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n15 ) ) )
     != ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl5341]) ).

thf(zip_derived_cl33,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl50,plain,
    ( ( sum @ n1 @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl33_018,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_019,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5390,plain,
    ( ( ( sum @ ( sum @ n14 @ n3 ) @ n1 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5357,zip_derived_cl33,zip_derived_cl17,zip_derived_cl50,zip_derived_cl33,zip_derived_cl17]) ).

thf(zip_derived_cl7801,plain,
    ( ( ( sum @ n1 @ n1 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl5390]) ).

thf(zip_derived_cl51_020,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl258,plain,
    ( ( sum @ n14 @ n0 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7802,plain,
    ( ( n2
     != ( sum @ n14 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7801,zip_derived_cl51,zip_derived_cl258]) ).

thf(zip_derived_cl262,plain,
    ( ( sum @ n14 @ n4 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7855,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7802,zip_derived_cl262]) ).

thf('4',plain,
    ( ( sk__1 != n2 )
    | ( sk_ != n15 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7855]) ).

thf(zip_derived_cl262_021,plain,
    ( ( sum @ n14 @ n4 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl434,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5341_022,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl2483]) ).

thf(zip_derived_cl5349,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl5341]) ).

thf(zip_derived_cl25,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl25_023,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_024,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5382,plain,
    ( ( ( sum @ ( sum @ n6 @ n3 ) @ ( sum @ n1 @ n8 ) )
     != ( sum @ ( sum @ n6 @ n8 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5349,zip_derived_cl25,zip_derived_cl9,zip_derived_cl25,zip_derived_cl9]) ).

thf(zip_derived_cl133,plain,
    ( ( sum @ n6 @ n3 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl58,plain,
    ( ( sum @ n1 @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl138,plain,
    ( ( sum @ n6 @ n8 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6624,plain,
    ( ( ( sum @ n9 @ n9 )
     != ( sum @ n14 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5382,zip_derived_cl133,zip_derived_cl58,zip_derived_cl138]) ).

thf(zip_derived_cl7804,plain,
    ( ( ( sum @ n9 @ n9 )
     != n2 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl6624]) ).

thf(zip_derived_cl187,plain,
    ( ( sum @ n9 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7807,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7804,zip_derived_cl187]) ).

thf('5',plain,
    ( ( sk__1 != n2 )
    | ( sk_ != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7807]) ).

thf(zip_derived_cl257,plain,
    ( ( sum @ n13 @ n15 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl441,plain,
    ( ( sk_ = n14 )
   <= ( sk_ = n14 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5341_025,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl2483]) ).

thf(zip_derived_cl5356,plain,
    ( ( ( sum @ ( sum @ ( pred @ n14 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n14 ) ) )
     != ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl5341]) ).

thf(zip_derived_cl32,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl32_026,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_027,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5389,plain,
    ( ( ( sum @ ( sum @ n13 @ n3 ) @ ( sum @ n1 @ n15 ) )
     != ( sum @ ( sum @ n13 @ n15 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5356,zip_derived_cl32,zip_derived_cl16,zip_derived_cl32,zip_derived_cl16]) ).

thf(zip_derived_cl65,plain,
    ( ( sum @ n1 @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6631,plain,
    ( ( ( sum @ ( sum @ n13 @ n3 ) @ n0 )
     != ( sum @ ( sum @ n13 @ n15 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5389,zip_derived_cl65]) ).

thf(zip_derived_cl7601,plain,
    ( ( ( sum @ ( sum @ n13 @ n3 ) @ n0 )
     != ( sum @ n12 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl6631]) ).

thf(zip_derived_cl245,plain,
    ( ( sum @ n13 @ n3 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl34,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl230,plain,
    ( ( sum @ n12 @ n4 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7614,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7601,zip_derived_cl245,zip_derived_cl34,zip_derived_cl230]) ).

thf('6',plain,
    ( ( sk__1 != n2 )
    | ( sk_ != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7614]) ).

thf(zip_derived_cl255,plain,
    ( ( sum @ n13 @ n13 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl206,plain,
    ( ( sum @ n10 @ n12 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl438,plain,
    ( ( sk_ = n11 )
   <= ( sk_ = n11 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5341_028,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl2483]) ).

thf(zip_derived_cl5353,plain,
    ( ( ( sum @ ( sum @ ( pred @ n11 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n11 ) ) )
     != ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl5341]) ).

thf(zip_derived_cl29,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl29_029,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_030,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5386,plain,
    ( ( ( sum @ ( sum @ n10 @ n3 ) @ ( sum @ n1 @ n12 ) )
     != ( sum @ ( sum @ n10 @ n12 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5353,zip_derived_cl29,zip_derived_cl13,zip_derived_cl29,zip_derived_cl13]) ).

thf(zip_derived_cl62,plain,
    ( ( sum @ n1 @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6628,plain,
    ( ( ( sum @ ( sum @ n10 @ n3 ) @ n13 )
     != ( sum @ ( sum @ n10 @ n12 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5386,zip_derived_cl62]) ).

thf(zip_derived_cl7073,plain,
    ( ( ( sum @ ( sum @ n10 @ n3 ) @ n13 )
     != ( sum @ n6 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl6628]) ).

thf(zip_derived_cl197,plain,
    ( ( sum @ n10 @ n3 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl134,plain,
    ( ( sum @ n6 @ n4 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7083,plain,
    ( ( ( sum @ n13 @ n13 )
     != n10 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7073,zip_derived_cl197,zip_derived_cl134]) ).

thf(zip_derived_cl7582,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl7083]) ).

thf('7',plain,
    ( ( sk__1 != n2 )
    | ( sk_ != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7582]) ).

thf(zip_derived_cl238,plain,
    ( ( sum @ n12 @ n12 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl189,plain,
    ( ( sum @ n9 @ n11 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl437,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5341_031,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl2483]) ).

thf(zip_derived_cl5352,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl5341]) ).

thf(zip_derived_cl28,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl28_032,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_033,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5385,plain,
    ( ( ( sum @ ( sum @ n9 @ n3 ) @ ( sum @ n1 @ n11 ) )
     != ( sum @ ( sum @ n9 @ n11 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5352,zip_derived_cl28,zip_derived_cl12,zip_derived_cl28,zip_derived_cl12]) ).

thf(zip_derived_cl61,plain,
    ( ( sum @ n1 @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6627,plain,
    ( ( ( sum @ ( sum @ n9 @ n3 ) @ n12 )
     != ( sum @ ( sum @ n9 @ n11 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5385,zip_derived_cl61]) ).

thf(zip_derived_cl6918,plain,
    ( ( ( sum @ ( sum @ n9 @ n3 ) @ n12 )
     != ( sum @ n4 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl6627]) ).

thf(zip_derived_cl181,plain,
    ( ( sum @ n9 @ n3 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl102,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6927,plain,
    ( ( ( sum @ n12 @ n12 )
     != n8 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6918,zip_derived_cl181,zip_derived_cl102]) ).

thf(zip_derived_cl7402,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl6927]) ).

thf('8',plain,
    ( ( sk__1 != n2 )
    | ( sk_ != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7402]) ).

thf(zip_derived_cl230_034,plain,
    ( ( sum @ n12 @ n4 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl433,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5341_035,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl2483]) ).

thf(zip_derived_cl5348,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl5341]) ).

thf(zip_derived_cl24,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_036,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_037,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5381,plain,
    ( ( ( sum @ ( sum @ n5 @ n3 ) @ ( sum @ n1 @ n7 ) )
     != ( sum @ ( sum @ n5 @ n7 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5348,zip_derived_cl24,zip_derived_cl8,zip_derived_cl24,zip_derived_cl8]) ).

thf(zip_derived_cl117,plain,
    ( ( sum @ n5 @ n3 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl57,plain,
    ( ( sum @ n1 @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl121,plain,
    ( ( sum @ n5 @ n7 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6623,plain,
    ( ( ( sum @ n8 @ n8 )
     != ( sum @ n12 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5381,zip_derived_cl117,zip_derived_cl57,zip_derived_cl121]) ).

thf(zip_derived_cl7346,plain,
    ( ( ( sum @ n8 @ n8 )
     != n0 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl230,zip_derived_cl6623]) ).

thf(zip_derived_cl170,plain,
    ( ( sum @ n8 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7348,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7346,zip_derived_cl170]) ).

thf('9',plain,
    ( ( sk__1 != n2 )
    | ( sk_ != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7348]) ).

thf(zip_derived_cl221,plain,
    ( ( sum @ n11 @ n11 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl172,plain,
    ( ( sum @ n8 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl436,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5341_038,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl2483]) ).

thf(zip_derived_cl5351,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl5341]) ).

thf(zip_derived_cl27,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl27_039,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_040,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5384,plain,
    ( ( ( sum @ ( sum @ n8 @ n3 ) @ ( sum @ n1 @ n10 ) )
     != ( sum @ ( sum @ n8 @ n10 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5351,zip_derived_cl27,zip_derived_cl11,zip_derived_cl27,zip_derived_cl11]) ).

thf(zip_derived_cl60,plain,
    ( ( sum @ n1 @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6626,plain,
    ( ( ( sum @ ( sum @ n8 @ n3 ) @ n11 )
     != ( sum @ ( sum @ n8 @ n10 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5384,zip_derived_cl60]) ).

thf(zip_derived_cl6785,plain,
    ( ( ( sum @ ( sum @ n8 @ n3 ) @ n11 )
     != ( sum @ n2 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl6626]) ).

thf(zip_derived_cl165,plain,
    ( ( sum @ n8 @ n3 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl70_041,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6789,plain,
    ( ( ( sum @ n11 @ n11 )
     != n6 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6785,zip_derived_cl165,zip_derived_cl70]) ).

thf(zip_derived_cl7219,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl6789]) ).

thf('10',plain,
    ( ( sk__1 != n2 )
    | ( sk_ != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7219]) ).

thf(zip_derived_cl204,plain,
    ( ( sum @ n10 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl155,plain,
    ( ( sum @ n7 @ n9 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl435,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5341_042,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl2483]) ).

thf(zip_derived_cl5350,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl5341]) ).

thf(zip_derived_cl26,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_043,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_044,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5383,plain,
    ( ( ( sum @ ( sum @ n7 @ n3 ) @ ( sum @ n1 @ n9 ) )
     != ( sum @ ( sum @ n7 @ n9 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5350,zip_derived_cl26,zip_derived_cl10,zip_derived_cl26,zip_derived_cl10]) ).

thf(zip_derived_cl149,plain,
    ( ( sum @ n7 @ n3 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl59,plain,
    ( ( sum @ n1 @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6625,plain,
    ( ( ( sum @ n10 @ n10 )
     != ( sum @ ( sum @ n7 @ n9 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5383,zip_derived_cl149,zip_derived_cl59]) ).

thf(zip_derived_cl6653,plain,
    ( ( ( sum @ n10 @ n10 )
     != ( sum @ n0 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl6625]) ).

thf(zip_derived_cl38_045,plain,
    ( ( sum @ n0 @ n4 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6657,plain,
    ( ( ( sum @ n10 @ n10 )
     != n4 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6653,zip_derived_cl38]) ).

thf(zip_derived_cl7056,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl6657]) ).

thf('11',plain,
    ( ( sk__1 != n2 )
    | ( sk_ != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7056]) ).

thf(zip_derived_cl198_046,plain,
    ( ( sum @ n10 @ n4 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl432,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5341_047,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl2483]) ).

thf(zip_derived_cl5347,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl5341]) ).

thf(zip_derived_cl23,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_048,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_049,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5380,plain,
    ( ( ( sum @ ( sum @ n4 @ n3 ) @ ( sum @ n1 @ n6 ) )
     != ( sum @ ( sum @ n4 @ n6 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5347,zip_derived_cl23,zip_derived_cl7,zip_derived_cl23,zip_derived_cl7]) ).

thf(zip_derived_cl101,plain,
    ( ( sum @ n4 @ n3 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl56,plain,
    ( ( sum @ n1 @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl104_050,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6622,plain,
    ( ( ( sum @ n7 @ n7 )
     != ( sum @ n10 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5380,zip_derived_cl101,zip_derived_cl56,zip_derived_cl104]) ).

thf(zip_derived_cl7019,plain,
    ( ( ( sum @ n7 @ n7 )
     != n14 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl198,zip_derived_cl6622]) ).

thf(zip_derived_cl153,plain,
    ( ( sum @ n7 @ n7 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7020,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7019,zip_derived_cl153]) ).

thf('12',plain,
    ( ( sk__1 != n2 )
    | ( sk_ != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7020]) ).

thf(zip_derived_cl166_051,plain,
    ( ( sum @ n8 @ n4 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl431,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5341_052,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl2483]) ).

thf(zip_derived_cl5346,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl5341]) ).

thf(zip_derived_cl22,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_053,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_054,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5379,plain,
    ( ( ( sum @ ( sum @ n3 @ n3 ) @ ( sum @ n1 @ n5 ) )
     != ( sum @ ( sum @ n3 @ n5 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5346,zip_derived_cl22,zip_derived_cl6,zip_derived_cl22,zip_derived_cl6]) ).

thf(zip_derived_cl85,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl55,plain,
    ( ( sum @ n1 @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl136,plain,
    ( ( sum @ n6 @ n6 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl87,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6621,plain,
    ( ( n12
     != ( sum @ n8 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5379,zip_derived_cl85,zip_derived_cl55,zip_derived_cl136,zip_derived_cl87]) ).

thf(zip_derived_cl6750,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl6621]) ).

thf('13',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6750]) ).

thf(zip_derived_cl430,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5341_055,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl2483]) ).

thf(zip_derived_cl5345,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl5341]) ).

thf(zip_derived_cl21_056,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_057,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_058,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_059,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5378,plain,
    ( ( ( sum @ ( sum @ n2 @ n3 ) @ ( sum @ n1 @ n4 ) )
     != ( sum @ ( sum @ n2 @ n4 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5345,zip_derived_cl21,zip_derived_cl5,zip_derived_cl21,zip_derived_cl5]) ).

thf(zip_derived_cl69_060,plain,
    ( ( sum @ n2 @ n3 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl54_061,plain,
    ( ( sum @ n1 @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl119_062,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl70_063,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl134_064,plain,
    ( ( sum @ n6 @ n4 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6619,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5378,zip_derived_cl69,zip_derived_cl54,zip_derived_cl119,zip_derived_cl70,zip_derived_cl134]) ).

thf('14',plain,
    ( ( sk__1 != n2 )
    | ( sk_ != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6619]) ).

thf(zip_derived_cl428,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5341_065,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl2483]) ).

thf(zip_derived_cl5343,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl5341]) ).

thf(zip_derived_cl19,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl37,plain,
    ( ( sum @ n0 @ n3 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl52,plain,
    ( ( sum @ n1 @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_066,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_067,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5375,plain,
    ( ( ( sum @ n3 @ n3 )
     != ( sum @ n2 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5343,zip_derived_cl19,zip_derived_cl37,zip_derived_cl3,zip_derived_cl52,zip_derived_cl19,zip_derived_cl3,zip_derived_cl36]) ).

thf(zip_derived_cl85_068,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl70_069,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6228,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5375,zip_derived_cl85,zip_derived_cl70]) ).

thf('15',plain,
    ( ( sk__1 != n2 )
    | ( sk_ != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6228]) ).

thf(zip_derived_cl413_070,plain,
    ( ( sk__1 = n2 )
   <= ( sk__1 = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl429_071,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl0_072,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl616,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
   <= ( sk_ = n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl0]) ).

thf(zip_derived_cl4_073,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_074,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl620,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n3 ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ n3 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
   <= ( sk_ = n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl616,zip_derived_cl4,zip_derived_cl4]) ).

thf(zip_derived_cl899,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ ( sum @ ( pred @ n2 ) @ n3 ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ n3 ) @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl620]) ).

thf(zip_derived_cl4_075,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_076,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl934,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n3 ) @ ( sum @ ( pred @ n2 ) @ n3 ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ n3 ) @ ( sum @ ( pred @ n2 ) @ n3 ) ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl899,zip_derived_cl4,zip_derived_cl4]) ).

thf('16',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl934]) ).

thf(zip_derived_cl440_077,plain,
    ( ( sk_ = n13 )
   <= ( sk_ = n13 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl275_078,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_079,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl411,plain,
    ( ( sk__1 = n0 )
   <= ( sk__1 = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_080,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl447,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n0 ) ) @ ( sum @ ( pred @ n0 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) ) )
   <= ( sk__1 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl411,zip_derived_cl0]) ).

thf(zip_derived_cl2_081,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_082,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1013,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ ( pred @ n0 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n0 ) @ n1 ) ) )
   <= ( sk__1 = n0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl447,zip_derived_cl2,zip_derived_cl2]) ).

thf(zip_derived_cl2073,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n15 @ n1 ) ) )
   <= ( sk__1 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl1013]) ).

thf(zip_derived_cl7890,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl2073]) ).

thf(zip_derived_cl7916,plain,
    ( ( ( sum @ ( sum @ ( pred @ n13 ) @ n1 ) @ ( sum @ n15 @ ( succ @ n13 ) ) )
     != ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl7890]) ).

thf(zip_derived_cl31_083,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl227,plain,
    ( ( sum @ n12 @ n1 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_084,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl31_085,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_086,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl240_087,plain,
    ( ( sum @ n12 @ n14 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl194,plain,
    ( ( sum @ n10 @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7949,plain,
    ( ( ( sum @ n13 @ ( sum @ n15 @ n14 ) )
     != n10 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7916,zip_derived_cl31,zip_derived_cl227,zip_derived_cl15,zip_derived_cl31,zip_derived_cl15,zip_derived_cl240,zip_derived_cl194]) ).

thf(zip_derived_cl288,plain,
    ( ( sum @ n15 @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl255_088,plain,
    ( ( sum @ n13 @ n13 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8135,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7949,zip_derived_cl288,zip_derived_cl255]) ).

thf('17',plain,
    ( ( sk_ != n13 )
    | ( sk__1 != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8135]) ).

thf(zip_derived_cl440_089,plain,
    ( ( sk_ = n13 )
   <= ( sk_ = n13 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl258_090,plain,
    ( ( sum @ n14 @ n0 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl33_091,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl426,plain,
    ( ( sk__1 = n15 )
   <= ( sk__1 = n15 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_092,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl589,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n15 ) ) @ ( sum @ ( pred @ n15 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) ) )
   <= ( sk__1 = n15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl0]) ).

thf(zip_derived_cl17_093,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_094,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2005,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ ( pred @ n15 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n15 ) @ n0 ) ) )
   <= ( sk__1 = n15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl589,zip_derived_cl17,zip_derived_cl17]) ).

thf(zip_derived_cl5055,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n14 @ n0 ) ) )
   <= ( sk__1 = n15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl2005]) ).

thf(zip_derived_cl7726,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl5055]) ).

thf(zip_derived_cl7740,plain,
    ( ( ( sum @ ( sum @ ( pred @ n13 ) @ n0 ) @ ( sum @ n14 @ ( succ @ n13 ) ) )
     != ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n14 ) )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl7726]) ).

thf(zip_derived_cl31_095,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl226,plain,
    ( ( sum @ n12 @ n0 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_096,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl31_097,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_098,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl240_099,plain,
    ( ( sum @ n12 @ n14 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl208,plain,
    ( ( sum @ n10 @ n14 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7772,plain,
    ( ( ( sum @ n12 @ ( sum @ n14 @ n14 ) )
     != n8 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7740,zip_derived_cl31,zip_derived_cl226,zip_derived_cl15,zip_derived_cl31,zip_derived_cl15,zip_derived_cl240,zip_derived_cl208]) ).

thf(zip_derived_cl272_100,plain,
    ( ( sum @ n14 @ n14 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl238_101,plain,
    ( ( sum @ n12 @ n12 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8010,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7772,zip_derived_cl272,zip_derived_cl238]) ).

thf('18',plain,
    ( ( sk_ != n13 )
    | ( sk__1 != n15 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8010]) ).

thf(zip_derived_cl272_102,plain,
    ( ( sum @ n14 @ n14 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl240_103,plain,
    ( ( sum @ n12 @ n14 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl440_104,plain,
    ( ( sk_ = n13 )
   <= ( sk_ = n13 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl36_105,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_106,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl412,plain,
    ( ( sk__1 = n1 )
   <= ( sk__1 = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_107,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl448,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n1 ) ) @ ( sum @ ( pred @ n1 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) ) )
   <= ( sk__1 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl0]) ).

thf(zip_derived_cl3_108,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_109,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1066,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ ( pred @ n1 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n1 ) @ n2 ) ) )
   <= ( sk__1 = n1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl3,zip_derived_cl3]) ).

thf(zip_derived_cl2278,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n0 @ n2 ) ) )
   <= ( sk__1 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl1066]) ).

thf(zip_derived_cl5191,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl2278]) ).

thf(zip_derived_cl5205,plain,
    ( ( ( sum @ ( sum @ ( pred @ n13 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n13 ) ) )
     != ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl5191]) ).

thf(zip_derived_cl31_110,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_111,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl31_112,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_113,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5238,plain,
    ( ( ( sum @ ( sum @ n12 @ n2 ) @ ( sum @ n0 @ n14 ) )
     != ( sum @ ( sum @ n12 @ n14 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5205,zip_derived_cl31,zip_derived_cl15,zip_derived_cl31,zip_derived_cl15]) ).

thf(zip_derived_cl48,plain,
    ( ( sum @ n0 @ n14 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6602,plain,
    ( ( ( sum @ ( sum @ n12 @ n2 ) @ n14 )
     != ( sum @ ( sum @ n12 @ n14 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5238,zip_derived_cl48]) ).

thf(zip_derived_cl7418,plain,
    ( ( ( sum @ ( sum @ n12 @ n2 ) @ n14 )
     != ( sum @ n10 @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl6602]) ).

thf(zip_derived_cl228,plain,
    ( ( sum @ n12 @ n2 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl196,plain,
    ( ( sum @ n10 @ n2 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7430,plain,
    ( ( ( sum @ n14 @ n14 )
     != n12 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7418,zip_derived_cl228,zip_derived_cl196]) ).

thf(zip_derived_cl7871,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl7430]) ).

thf('19',plain,
    ( ( sk_ != n13 )
    | ( sk__1 != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7871]) ).

thf(zip_derived_cl440_114,plain,
    ( ( sk_ = n13 )
   <= ( sk_ = n13 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl257_115,plain,
    ( ( sum @ n13 @ n15 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl32_116,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl425,plain,
    ( ( sk__1 = n14 )
   <= ( sk__1 = n14 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_117,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl569,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n14 ) ) @ ( sum @ ( pred @ n14 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) ) )
   <= ( sk__1 = n14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl425,zip_derived_cl0]) ).

thf(zip_derived_cl16_118,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_119,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1937,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ ( pred @ n14 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n14 ) @ n15 ) ) )
   <= ( sk__1 = n14 ) ),
    inference(demod,[status(thm)],[zip_derived_cl569,zip_derived_cl16,zip_derived_cl16]) ).

thf(zip_derived_cl4920,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n13 @ n15 ) ) )
   <= ( sk__1 = n14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl1937]) ).

thf(zip_derived_cl7599,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl4920]) ).

thf(zip_derived_cl7651,plain,
    ( ( ( sum @ ( sum @ ( pred @ n13 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n13 ) ) )
     != ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n12 ) )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl7599]) ).

thf(zip_derived_cl31_120,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl241,plain,
    ( ( sum @ n12 @ n15 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_121,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl256,plain,
    ( ( sum @ n13 @ n14 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl221_122,plain,
    ( ( sum @ n11 @ n11 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl31_123,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_124,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl240_125,plain,
    ( ( sum @ n12 @ n14 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl206_126,plain,
    ( ( sum @ n10 @ n12 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7693,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7651,zip_derived_cl31,zip_derived_cl241,zip_derived_cl15,zip_derived_cl256,zip_derived_cl221,zip_derived_cl31,zip_derived_cl15,zip_derived_cl240,zip_derived_cl206]) ).

thf('20',plain,
    ( ( sk_ != n13 )
    | ( sk__1 != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7693]) ).

thf(zip_derived_cl240_127,plain,
    ( ( sum @ n12 @ n14 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl440_128,plain,
    ( ( sk_ = n13 )
   <= ( sk_ = n13 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl223_129,plain,
    ( ( sum @ n11 @ n13 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl30_130,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl423,plain,
    ( ( sk__1 = n12 )
   <= ( sk__1 = n12 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_131,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl540,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n12 ) ) @ ( sum @ ( pred @ n12 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) ) )
   <= ( sk__1 = n12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl0]) ).

thf(zip_derived_cl14_132,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_133,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1805,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ ( pred @ n12 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n12 ) @ n13 ) ) )
   <= ( sk__1 = n12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl540,zip_derived_cl14,zip_derived_cl14]) ).

thf(zip_derived_cl4573,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n11 @ n13 ) ) )
   <= ( sk__1 = n12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl1805]) ).

thf(zip_derived_cl7234,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl4573]) ).

thf(zip_derived_cl7278,plain,
    ( ( ( sum @ ( sum @ ( pred @ n13 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n13 ) ) )
     != ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl7234]) ).

thf(zip_derived_cl31_134,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_135,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl31_136,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_137,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7317,plain,
    ( ( ( sum @ ( sum @ n12 @ n13 ) @ ( sum @ n11 @ n14 ) )
     != ( sum @ ( sum @ n12 @ n14 ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7278,zip_derived_cl31,zip_derived_cl15,zip_derived_cl31,zip_derived_cl15]) ).

thf(zip_derived_cl224,plain,
    ( ( sum @ n11 @ n14 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7356,plain,
    ( ( ( sum @ ( sum @ n12 @ n13 ) @ n9 )
     != ( sum @ ( sum @ n12 @ n14 ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7317,zip_derived_cl224]) ).

thf(zip_derived_cl7429,plain,
    ( ( ( sum @ ( sum @ n12 @ n13 ) @ n9 )
     != ( sum @ n10 @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl7356]) ).

thf(zip_derived_cl239,plain,
    ( ( sum @ n12 @ n13 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl187_138,plain,
    ( ( sum @ n9 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl202,plain,
    ( ( sum @ n10 @ n8 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7450,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7429,zip_derived_cl239,zip_derived_cl187,zip_derived_cl202]) ).

thf('21',plain,
    ( ( sk_ != n13 )
    | ( sk__1 != n12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7450]) ).

thf(zip_derived_cl240_139,plain,
    ( ( sum @ n12 @ n14 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl440_140,plain,
    ( ( sk_ = n13 )
   <= ( sk_ = n13 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl206_141,plain,
    ( ( sum @ n10 @ n12 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl29_142,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl422,plain,
    ( ( sk__1 = n11 )
   <= ( sk__1 = n11 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_143,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl527,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n11 ) ) @ ( sum @ ( pred @ n11 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) ) )
   <= ( sk__1 = n11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl0]) ).

thf(zip_derived_cl13_144,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_145,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1741,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ ( pred @ n11 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n11 ) @ n12 ) ) )
   <= ( sk__1 = n11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl527,zip_derived_cl13,zip_derived_cl13]) ).

thf(zip_derived_cl4367,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n10 @ n12 ) ) )
   <= ( sk__1 = n11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl1741]) ).

thf(zip_derived_cl7071,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl4367]) ).

thf(zip_derived_cl7111,plain,
    ( ( ( sum @ ( sum @ ( pred @ n13 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n13 ) ) )
     != ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl7071]) ).

thf(zip_derived_cl31_146,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_147,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl31_148,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_149,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7148,plain,
    ( ( ( sum @ ( sum @ n12 @ n12 ) @ ( sum @ n10 @ n14 ) )
     != ( sum @ ( sum @ n12 @ n14 ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7111,zip_derived_cl31,zip_derived_cl15,zip_derived_cl31,zip_derived_cl15]) ).

thf(zip_derived_cl208_150,plain,
    ( ( sum @ n10 @ n14 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7172,plain,
    ( ( ( sum @ ( sum @ n12 @ n12 ) @ n8 )
     != ( sum @ ( sum @ n12 @ n14 ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7148,zip_derived_cl208]) ).

thf(zip_derived_cl7428,plain,
    ( ( ( sum @ ( sum @ n12 @ n12 ) @ n8 )
     != ( sum @ n10 @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl7172]) ).

thf(zip_derived_cl238_151,plain,
    ( ( sum @ n12 @ n12 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl170_152,plain,
    ( ( sum @ n8 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl200,plain,
    ( ( sum @ n10 @ n6 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7448,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7428,zip_derived_cl238,zip_derived_cl170,zip_derived_cl200]) ).

thf('22',plain,
    ( ( sk_ != n13 )
    | ( sk__1 != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7448]) ).

thf(zip_derived_cl240_153,plain,
    ( ( sum @ n12 @ n14 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl440_154,plain,
    ( ( sk_ = n13 )
   <= ( sk_ = n13 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl189_155,plain,
    ( ( sum @ n9 @ n11 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl28_156,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl421,plain,
    ( ( sk__1 = n10 )
   <= ( sk__1 = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_157,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl512,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n10 ) ) @ ( sum @ ( pred @ n10 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl421,zip_derived_cl0]) ).

thf(zip_derived_cl12_158,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_159,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1677,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ ( pred @ n10 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n10 ) @ n11 ) ) )
   <= ( sk__1 = n10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl512,zip_derived_cl12,zip_derived_cl12]) ).

thf(zip_derived_cl4161,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n9 @ n11 ) ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl1677]) ).

thf(zip_derived_cl6916,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl4161]) ).

thf(zip_derived_cl6952,plain,
    ( ( ( sum @ ( sum @ ( pred @ n13 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n13 ) ) )
     != ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl6916]) ).

thf(zip_derived_cl31_160,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_161,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl31_162,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_163,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6987,plain,
    ( ( ( sum @ ( sum @ n12 @ n11 ) @ ( sum @ n9 @ n14 ) )
     != ( sum @ ( sum @ n12 @ n14 ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6952,zip_derived_cl31,zip_derived_cl15,zip_derived_cl31,zip_derived_cl15]) ).

thf(zip_derived_cl192,plain,
    ( ( sum @ n9 @ n14 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7047,plain,
    ( ( ( sum @ ( sum @ n12 @ n11 ) @ n7 )
     != ( sum @ ( sum @ n12 @ n14 ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6987,zip_derived_cl192]) ).

thf(zip_derived_cl7427,plain,
    ( ( ( sum @ ( sum @ n12 @ n11 ) @ n7 )
     != ( sum @ n10 @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl7047]) ).

thf(zip_derived_cl237,plain,
    ( ( sum @ n12 @ n11 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl153_164,plain,
    ( ( sum @ n7 @ n7 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl198_165,plain,
    ( ( sum @ n10 @ n4 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7446,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7427,zip_derived_cl237,zip_derived_cl153,zip_derived_cl198]) ).

thf('23',plain,
    ( ( sk_ != n13 )
    | ( sk__1 != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7446]) ).

thf(zip_derived_cl240_166,plain,
    ( ( sum @ n12 @ n14 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl440_167,plain,
    ( ( sk_ = n13 )
   <= ( sk_ = n13 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl172_168,plain,
    ( ( sum @ n8 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl27_169,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl420,plain,
    ( ( sk__1 = n9 )
   <= ( sk__1 = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_170,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl501,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n9 ) ) @ ( sum @ ( pred @ n9 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl0]) ).

thf(zip_derived_cl11_171,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_172,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1615,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ ( pred @ n9 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n9 ) @ n10 ) ) )
   <= ( sk__1 = n9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl11,zip_derived_cl11]) ).

thf(zip_derived_cl3956,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n8 @ n10 ) ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl1615]) ).

thf(zip_derived_cl6783,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl3956]) ).

thf(zip_derived_cl6806,plain,
    ( ( ( sum @ ( sum @ ( pred @ n13 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n13 ) ) )
     != ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl6783]) ).

thf(zip_derived_cl31_173,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_174,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl31_175,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_176,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6840,plain,
    ( ( ( sum @ ( sum @ n12 @ n10 ) @ ( sum @ n8 @ n14 ) )
     != ( sum @ ( sum @ n12 @ n14 ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6806,zip_derived_cl31,zip_derived_cl15,zip_derived_cl31,zip_derived_cl15]) ).

thf(zip_derived_cl176,plain,
    ( ( sum @ n8 @ n14 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7036,plain,
    ( ( ( sum @ ( sum @ n12 @ n10 ) @ n6 )
     != ( sum @ ( sum @ n12 @ n14 ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6840,zip_derived_cl176]) ).

thf(zip_derived_cl7426,plain,
    ( ( ( sum @ ( sum @ n12 @ n10 ) @ n6 )
     != ( sum @ n10 @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl7036]) ).

thf(zip_derived_cl236,plain,
    ( ( sum @ n12 @ n10 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl136_177,plain,
    ( ( sum @ n6 @ n6 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl196_178,plain,
    ( ( sum @ n10 @ n2 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7444,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7426,zip_derived_cl236,zip_derived_cl136,zip_derived_cl196]) ).

thf('24',plain,
    ( ( sk_ != n13 )
    | ( sk__1 != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7444]) ).

thf(zip_derived_cl240_179,plain,
    ( ( sum @ n12 @ n14 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl440_180,plain,
    ( ( sk_ = n13 )
   <= ( sk_ = n13 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl155_181,plain,
    ( ( sum @ n7 @ n9 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_182,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl419,plain,
    ( ( sk__1 = n8 )
   <= ( sk__1 = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_183,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl491,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n8 ) ) @ ( sum @ ( pred @ n8 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl419,zip_derived_cl0]) ).

thf(zip_derived_cl10_184,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_185,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1553,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ ( pred @ n8 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n8 ) @ n9 ) ) )
   <= ( sk__1 = n8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl491,zip_derived_cl10,zip_derived_cl10]) ).

thf(zip_derived_cl3749,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n7 @ n9 ) ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl1553]) ).

thf(zip_derived_cl6649,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl3749]) ).

thf(zip_derived_cl6671,plain,
    ( ( ( sum @ ( sum @ ( pred @ n13 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n13 ) ) )
     != ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl6649]) ).

thf(zip_derived_cl31_186,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_187,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl31_188,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_189,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6704,plain,
    ( ( ( sum @ ( sum @ n12 @ n9 ) @ ( sum @ n7 @ n14 ) )
     != ( sum @ ( sum @ n12 @ n14 ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6671,zip_derived_cl31,zip_derived_cl15,zip_derived_cl31,zip_derived_cl15]) ).

thf(zip_derived_cl160,plain,
    ( ( sum @ n7 @ n14 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7018,plain,
    ( ( ( sum @ ( sum @ n12 @ n9 ) @ n5 )
     != ( sum @ ( sum @ n12 @ n14 ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6704,zip_derived_cl160]) ).

thf(zip_derived_cl7425,plain,
    ( ( ( sum @ ( sum @ n12 @ n9 ) @ n5 )
     != ( sum @ n10 @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl7018]) ).

thf(zip_derived_cl235,plain,
    ( ( sum @ n12 @ n9 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl119_190,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl194_191,plain,
    ( ( sum @ n10 @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7442,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7425,zip_derived_cl235,zip_derived_cl119,zip_derived_cl194]) ).

thf('25',plain,
    ( ( sk_ != n13 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7442]) ).

thf(zip_derived_cl240_192,plain,
    ( ( sum @ n12 @ n14 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl440_193,plain,
    ( ( sk_ = n13 )
   <= ( sk_ = n13 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl138_194,plain,
    ( ( sum @ n6 @ n8 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl25_195,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl418,plain,
    ( ( sk__1 = n7 )
   <= ( sk__1 = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_196,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl482,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n7 ) ) @ ( sum @ ( pred @ n7 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl0]) ).

thf(zip_derived_cl9_197,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_198,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1429,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ ( pred @ n7 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n7 ) @ n8 ) ) )
   <= ( sk__1 = n7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl482,zip_derived_cl9,zip_derived_cl9]) ).

thf(zip_derived_cl3542,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n6 @ n8 ) ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl1429]) ).

thf(zip_derived_cl6522,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl3542]) ).

thf(zip_derived_cl6536,plain,
    ( ( ( sum @ ( sum @ ( pred @ n13 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n13 ) ) )
     != ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl6522]) ).

thf(zip_derived_cl31_199,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_200,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl31_201,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_202,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6569,plain,
    ( ( ( sum @ ( sum @ n12 @ n8 ) @ ( sum @ n6 @ n14 ) )
     != ( sum @ ( sum @ n12 @ n14 ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6536,zip_derived_cl31,zip_derived_cl15,zip_derived_cl31,zip_derived_cl15]) ).

thf(zip_derived_cl144,plain,
    ( ( sum @ n6 @ n14 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6896,plain,
    ( ( ( sum @ ( sum @ n12 @ n8 ) @ n4 )
     != ( sum @ ( sum @ n12 @ n14 ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6569,zip_derived_cl144]) ).

thf(zip_derived_cl7424,plain,
    ( ( ( sum @ ( sum @ n12 @ n8 ) @ n4 )
     != ( sum @ n10 @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl6896]) ).

thf(zip_derived_cl234,plain,
    ( ( sum @ n12 @ n8 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl102_203,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl208_204,plain,
    ( ( sum @ n10 @ n14 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7440,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7424,zip_derived_cl234,zip_derived_cl102,zip_derived_cl208]) ).

thf('26',plain,
    ( ( sk_ != n13 )
    | ( sk__1 != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7440]) ).

thf(zip_derived_cl240_205,plain,
    ( ( sum @ n12 @ n14 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl440_206,plain,
    ( ( sk_ = n13 )
   <= ( sk_ = n13 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl121_207,plain,
    ( ( sum @ n5 @ n7 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_208,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl417,plain,
    ( ( sk__1 = n6 )
   <= ( sk__1 = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_209,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl471,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n6 ) ) @ ( sum @ ( pred @ n6 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl0]) ).

thf(zip_derived_cl8_210,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_211,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1369,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ ( pred @ n6 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n6 ) @ n7 ) ) )
   <= ( sk__1 = n6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl471,zip_derived_cl8,zip_derived_cl8]) ).

thf(zip_derived_cl3335,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n5 @ n7 ) ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl1369]) ).

thf(zip_derived_cl6412,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl3335]) ).

thf(zip_derived_cl6427,plain,
    ( ( ( sum @ ( sum @ ( pred @ n13 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n13 ) ) )
     != ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl6412]) ).

thf(zip_derived_cl31_212,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_213,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl31_214,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_215,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6460,plain,
    ( ( ( sum @ ( sum @ n12 @ n7 ) @ ( sum @ n5 @ n14 ) )
     != ( sum @ ( sum @ n12 @ n14 ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6427,zip_derived_cl31,zip_derived_cl15,zip_derived_cl31,zip_derived_cl15]) ).

thf(zip_derived_cl128,plain,
    ( ( sum @ n5 @ n14 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6881,plain,
    ( ( ( sum @ ( sum @ n12 @ n7 ) @ n3 )
     != ( sum @ ( sum @ n12 @ n14 ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6460,zip_derived_cl128]) ).

thf(zip_derived_cl7423,plain,
    ( ( ( sum @ ( sum @ n12 @ n7 ) @ n3 )
     != ( sum @ n10 @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl6881]) ).

thf(zip_derived_cl233,plain,
    ( ( sum @ n12 @ n7 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl85_216,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl206_217,plain,
    ( ( sum @ n10 @ n12 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7438,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7423,zip_derived_cl233,zip_derived_cl85,zip_derived_cl206]) ).

thf('27',plain,
    ( ( sk_ != n13 )
    | ( sk__1 != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7438]) ).

thf(zip_derived_cl240_218,plain,
    ( ( sum @ n12 @ n14 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl440_219,plain,
    ( ( sk_ = n13 )
   <= ( sk_ = n13 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl104_220,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_221,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl416,plain,
    ( ( sk__1 = n5 )
   <= ( sk__1 = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_222,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl464,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n5 ) ) @ ( sum @ ( pred @ n5 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) ) )
   <= ( sk__1 = n5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl416,zip_derived_cl0]) ).

thf(zip_derived_cl7_223,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_224,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1308,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ ( pred @ n5 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n5 ) @ n6 ) ) )
   <= ( sk__1 = n5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl464,zip_derived_cl7,zip_derived_cl7]) ).

thf(zip_derived_cl3124,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n4 @ n6 ) ) )
   <= ( sk__1 = n5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl1308]) ).

thf(zip_derived_cl6272,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl3124]) ).

thf(zip_derived_cl6291,plain,
    ( ( ( sum @ ( sum @ ( pred @ n13 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n13 ) ) )
     != ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl6272]) ).

thf(zip_derived_cl31_225,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_226,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl31_227,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_228,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6324,plain,
    ( ( ( sum @ ( sum @ n12 @ n6 ) @ ( sum @ n4 @ n14 ) )
     != ( sum @ ( sum @ n12 @ n14 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6291,zip_derived_cl31,zip_derived_cl15,zip_derived_cl31,zip_derived_cl15]) ).

thf(zip_derived_cl112,plain,
    ( ( sum @ n4 @ n14 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6865,plain,
    ( ( ( sum @ ( sum @ n12 @ n6 ) @ n2 )
     != ( sum @ ( sum @ n12 @ n14 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6324,zip_derived_cl112]) ).

thf(zip_derived_cl7422,plain,
    ( ( ( sum @ ( sum @ n12 @ n6 ) @ n2 )
     != ( sum @ n10 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl6865]) ).

thf(zip_derived_cl232,plain,
    ( ( sum @ n12 @ n6 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl68_229,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl204_230,plain,
    ( ( sum @ n10 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7436,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7422,zip_derived_cl232,zip_derived_cl68,zip_derived_cl204]) ).

thf('28',plain,
    ( ( sk_ != n13 )
    | ( sk__1 != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7436]) ).

thf(zip_derived_cl240_231,plain,
    ( ( sum @ n12 @ n14 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl440_232,plain,
    ( ( sk_ = n13 )
   <= ( sk_ = n13 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl87_233,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_234,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl415,plain,
    ( ( sk__1 = n4 )
   <= ( sk__1 = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_235,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl458,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n4 ) ) @ ( sum @ ( pred @ n4 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) ) )
   <= ( sk__1 = n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl0]) ).

thf(zip_derived_cl6_236,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_237,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1248,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ ( pred @ n4 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n4 ) @ n5 ) ) )
   <= ( sk__1 = n4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl458,zip_derived_cl6,zip_derived_cl6]) ).

thf(zip_derived_cl2913,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n3 @ n5 ) ) )
   <= ( sk__1 = n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl1248]) ).

thf(zip_derived_cl6124,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl2913]) ).

thf(zip_derived_cl6138,plain,
    ( ( ( sum @ ( sum @ ( pred @ n13 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n13 ) ) )
     != ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl6124]) ).

thf(zip_derived_cl31_238,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_239,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl31_240,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_241,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6171,plain,
    ( ( ( sum @ ( sum @ n12 @ n5 ) @ ( sum @ n3 @ n14 ) )
     != ( sum @ ( sum @ n12 @ n14 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6138,zip_derived_cl31,zip_derived_cl15,zip_derived_cl31,zip_derived_cl15]) ).

thf(zip_derived_cl96,plain,
    ( ( sum @ n3 @ n14 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6763,plain,
    ( ( ( sum @ ( sum @ n12 @ n5 ) @ n1 )
     != ( sum @ ( sum @ n12 @ n14 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6171,zip_derived_cl96]) ).

thf(zip_derived_cl7421,plain,
    ( ( ( sum @ ( sum @ n12 @ n5 ) @ n1 )
     != ( sum @ n10 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl6763]) ).

thf(zip_derived_cl231,plain,
    ( ( sum @ n12 @ n5 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl51_242,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl202_243,plain,
    ( ( sum @ n10 @ n8 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7434,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7421,zip_derived_cl231,zip_derived_cl51,zip_derived_cl202]) ).

thf('29',plain,
    ( ( sk_ != n13 )
    | ( sk__1 != n4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7434]) ).

thf(zip_derived_cl240_244,plain,
    ( ( sum @ n12 @ n14 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl440_245,plain,
    ( ( sk_ = n13 )
   <= ( sk_ = n13 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5759_246,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl2703]) ).

thf(zip_derived_cl5773,plain,
    ( ( ( sum @ ( sum @ ( pred @ n13 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n13 ) ) )
     != ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl5759]) ).

thf(zip_derived_cl31_247,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_248,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl31_249,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_250,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5806,plain,
    ( ( ( sum @ ( sum @ n12 @ n4 ) @ ( sum @ n2 @ n14 ) )
     != ( sum @ ( sum @ n12 @ n14 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5773,zip_derived_cl31,zip_derived_cl15,zip_derived_cl31,zip_derived_cl15]) ).

thf(zip_derived_cl80,plain,
    ( ( sum @ n2 @ n14 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6736,plain,
    ( ( ( sum @ ( sum @ n12 @ n4 ) @ n0 )
     != ( sum @ ( sum @ n12 @ n14 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5806,zip_derived_cl80]) ).

thf(zip_derived_cl7420,plain,
    ( ( ( sum @ ( sum @ n12 @ n4 ) @ n0 )
     != ( sum @ n10 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl6736]) ).

thf(zip_derived_cl230_251,plain,
    ( ( sum @ n12 @ n4 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl34_252,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl200_253,plain,
    ( ( sum @ n10 @ n6 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7432,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7420,zip_derived_cl230,zip_derived_cl34,zip_derived_cl200]) ).

thf('30',plain,
    ( ( sk_ != n13 )
    | ( sk__1 != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7432]) ).

thf(zip_derived_cl440_254,plain,
    ( ( sk_ = n13 )
   <= ( sk_ = n13 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl424,plain,
    ( ( sk__1 = n13 )
   <= ( sk__1 = n13 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_255,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl554,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n13 ) ) @ ( sum @ ( pred @ n13 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) ) )
   <= ( sk__1 = n13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl0]) ).

thf(zip_derived_cl15_256,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_257,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1871,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ ( pred @ n13 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n13 ) @ n14 ) ) )
   <= ( sk__1 = n13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl554,zip_derived_cl15,zip_derived_cl15]) ).

thf(zip_derived_cl1885,plain,
    ( ( ( sum @ ( sum @ ( pred @ n13 ) @ n14 ) @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) )
     != ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ ( sum @ ( pred @ n13 ) @ n14 ) ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl1871]) ).

thf(zip_derived_cl15_258,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_259,plain,
    ( ( succ @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1917,plain,
    ( ( ( sum @ ( sum @ ( pred @ n13 ) @ n14 ) @ ( sum @ ( pred @ n13 ) @ n14 ) )
     != ( sum @ ( sum @ ( pred @ n13 ) @ n14 ) @ ( sum @ ( pred @ n13 ) @ n14 ) ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1885,zip_derived_cl15,zip_derived_cl15]) ).

thf('31',plain,
    ( ( sk_ != n13 )
    | ( sk__1 != n13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1917]) ).

thf(zip_derived_cl289_260,plain,
    ( ( sum @ n15 @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl257_261,plain,
    ( ( sum @ n13 @ n15 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl441_262,plain,
    ( ( sk_ = n14 )
   <= ( sk_ = n14 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5191_263,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl2278]) ).

thf(zip_derived_cl5206,plain,
    ( ( ( sum @ ( sum @ ( pred @ n14 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n14 ) ) )
     != ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl5191]) ).

thf(zip_derived_cl32_264,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_265,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl32_266,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_267,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5239,plain,
    ( ( ( sum @ ( sum @ n13 @ n2 ) @ ( sum @ n0 @ n15 ) )
     != ( sum @ ( sum @ n13 @ n15 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5206,zip_derived_cl32,zip_derived_cl16,zip_derived_cl32,zip_derived_cl16]) ).

thf(zip_derived_cl49,plain,
    ( ( sum @ n0 @ n15 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6603,plain,
    ( ( ( sum @ ( sum @ n13 @ n2 ) @ n15 )
     != ( sum @ ( sum @ n13 @ n15 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5239,zip_derived_cl49]) ).

thf(zip_derived_cl7600,plain,
    ( ( ( sum @ ( sum @ n13 @ n2 ) @ n15 )
     != ( sum @ n12 @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl6603]) ).

thf(zip_derived_cl244,plain,
    ( ( sum @ n13 @ n2 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl228_268,plain,
    ( ( sum @ n12 @ n2 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7613,plain,
    ( ( ( sum @ n15 @ n15 )
     != n14 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7600,zip_derived_cl244,zip_derived_cl228]) ).

thf(zip_derived_cl8108,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl7613]) ).

thf('32',plain,
    ( ( sk__1 != n1 )
    | ( sk_ != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8108]) ).

thf(zip_derived_cl276,plain,
    ( ( sum @ n15 @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl427_269,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5191_270,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl2278]) ).

thf(zip_derived_cl5192,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl5191]) ).

thf(zip_derived_cl18_271,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_272,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl35,plain,
    ( ( sum @ n0 @ n1 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_273,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_274,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5224,plain,
    ( ( ( sum @ ( sum @ n15 @ n2 ) @ n1 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5192,zip_derived_cl18,zip_derived_cl2,zip_derived_cl35,zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl7971,plain,
    ( ( ( sum @ n1 @ n1 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl276,zip_derived_cl5224]) ).

thf(zip_derived_cl51_275,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl275_276,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_277,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7972,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7971,zip_derived_cl51,zip_derived_cl275,zip_derived_cl36]) ).

thf('33',plain,
    ( ( sk__1 != n1 )
    | ( sk_ != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7972]) ).

thf(zip_derived_cl260,plain,
    ( ( sum @ n14 @ n2 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl434_278,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5191_279,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl2278]) ).

thf(zip_derived_cl5199,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl5191]) ).

thf(zip_derived_cl25_280,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_281,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl25_282,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_283,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5232,plain,
    ( ( ( sum @ ( sum @ n6 @ n2 ) @ ( sum @ n0 @ n8 ) )
     != ( sum @ ( sum @ n6 @ n8 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5199,zip_derived_cl25,zip_derived_cl9,zip_derived_cl25,zip_derived_cl9]) ).

thf(zip_derived_cl132,plain,
    ( ( sum @ n6 @ n2 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl42,plain,
    ( ( sum @ n0 @ n8 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl138_284,plain,
    ( ( sum @ n6 @ n8 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6596,plain,
    ( ( ( sum @ n8 @ n8 )
     != ( sum @ n14 @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5232,zip_derived_cl132,zip_derived_cl42,zip_derived_cl138]) ).

thf(zip_derived_cl7794,plain,
    ( ( ( sum @ n8 @ n8 )
     != n0 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl6596]) ).

thf(zip_derived_cl170_285,plain,
    ( ( sum @ n8 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7798,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7794,zip_derived_cl170]) ).

thf('34',plain,
    ( ( sk__1 != n1 )
    | ( sk_ != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7798]) ).

thf(zip_derived_cl260_286,plain,
    ( ( sum @ n14 @ n2 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl442_287,plain,
    ( ( sk_ = n15 )
   <= ( sk_ = n15 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5191_288,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl2278]) ).

thf(zip_derived_cl5207,plain,
    ( ( ( sum @ ( sum @ ( pred @ n15 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n15 ) ) )
     != ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl5191]) ).

thf(zip_derived_cl33_289,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_290,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl34_291,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl33_292,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_293,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5240,plain,
    ( ( ( sum @ ( sum @ n14 @ n2 ) @ n0 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5207,zip_derived_cl33,zip_derived_cl17,zip_derived_cl34,zip_derived_cl33,zip_derived_cl17]) ).

thf(zip_derived_cl7793,plain,
    ( ( ( sum @ n0 @ n0 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl5240]) ).

thf(zip_derived_cl34_294,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl258_295,plain,
    ( ( sum @ n14 @ n0 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl260_296,plain,
    ( ( sum @ n14 @ n2 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7796,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7793,zip_derived_cl34,zip_derived_cl258,zip_derived_cl260]) ).

thf('35',plain,
    ( ( sk__1 != n1 )
    | ( sk_ != n15 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7796]) ).

thf(zip_derived_cl255_297,plain,
    ( ( sum @ n13 @ n13 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl223_298,plain,
    ( ( sum @ n11 @ n13 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl439_299,plain,
    ( ( sk_ = n12 )
   <= ( sk_ = n12 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5191_300,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl2278]) ).

thf(zip_derived_cl5204,plain,
    ( ( ( sum @ ( sum @ ( pred @ n12 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n12 ) ) )
     != ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl5191]) ).

thf(zip_derived_cl30_301,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_302,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl30_303,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_304,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5237,plain,
    ( ( ( sum @ ( sum @ n11 @ n2 ) @ ( sum @ n0 @ n13 ) )
     != ( sum @ ( sum @ n11 @ n13 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5204,zip_derived_cl30,zip_derived_cl14,zip_derived_cl30,zip_derived_cl14]) ).

thf(zip_derived_cl47,plain,
    ( ( sum @ n0 @ n13 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6601,plain,
    ( ( ( sum @ ( sum @ n11 @ n2 ) @ n13 )
     != ( sum @ ( sum @ n11 @ n13 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5237,zip_derived_cl47]) ).

thf(zip_derived_cl7235,plain,
    ( ( ( sum @ ( sum @ n11 @ n2 ) @ n13 )
     != ( sum @ n8 @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl6601]) ).

thf(zip_derived_cl212,plain,
    ( ( sum @ n11 @ n2 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl164,plain,
    ( ( sum @ n8 @ n2 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7246,plain,
    ( ( ( sum @ n13 @ n13 )
     != n10 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7235,zip_derived_cl212,zip_derived_cl164]) ).

thf(zip_derived_cl7584,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl7246]) ).

thf('36',plain,
    ( ( sk__1 != n1 )
    | ( sk_ != n12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7584]) ).

thf(zip_derived_cl238_305,plain,
    ( ( sum @ n12 @ n12 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl206_306,plain,
    ( ( sum @ n10 @ n12 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl438_307,plain,
    ( ( sk_ = n11 )
   <= ( sk_ = n11 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5191_308,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl2278]) ).

thf(zip_derived_cl5203,plain,
    ( ( ( sum @ ( sum @ ( pred @ n11 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n11 ) ) )
     != ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl5191]) ).

thf(zip_derived_cl29_309,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_310,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl29_311,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_312,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5236,plain,
    ( ( ( sum @ ( sum @ n10 @ n2 ) @ ( sum @ n0 @ n12 ) )
     != ( sum @ ( sum @ n10 @ n12 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5203,zip_derived_cl29,zip_derived_cl13,zip_derived_cl29,zip_derived_cl13]) ).

thf(zip_derived_cl46,plain,
    ( ( sum @ n0 @ n12 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6600,plain,
    ( ( ( sum @ ( sum @ n10 @ n2 ) @ n12 )
     != ( sum @ ( sum @ n10 @ n12 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5236,zip_derived_cl46]) ).

thf(zip_derived_cl7072,plain,
    ( ( ( sum @ ( sum @ n10 @ n2 ) @ n12 )
     != ( sum @ n6 @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl6600]) ).

thf(zip_derived_cl196_313,plain,
    ( ( sum @ n10 @ n2 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl132_314,plain,
    ( ( sum @ n6 @ n2 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7082,plain,
    ( ( ( sum @ n12 @ n12 )
     != n8 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7072,zip_derived_cl196,zip_derived_cl132]) ).

thf(zip_derived_cl7404,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl7082]) ).

thf('37',plain,
    ( ( sk__1 != n1 )
    | ( sk_ != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7404]) ).

thf(zip_derived_cl228_315,plain,
    ( ( sum @ n12 @ n2 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl433_316,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5191_317,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl2278]) ).

thf(zip_derived_cl5198,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl5191]) ).

thf(zip_derived_cl24_318,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_319,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_320,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_321,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5231,plain,
    ( ( ( sum @ ( sum @ n5 @ n2 ) @ ( sum @ n0 @ n7 ) )
     != ( sum @ ( sum @ n5 @ n7 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5198,zip_derived_cl24,zip_derived_cl8,zip_derived_cl24,zip_derived_cl8]) ).

thf(zip_derived_cl116,plain,
    ( ( sum @ n5 @ n2 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl41,plain,
    ( ( sum @ n0 @ n7 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl121_322,plain,
    ( ( sum @ n5 @ n7 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6595,plain,
    ( ( ( sum @ n7 @ n7 )
     != ( sum @ n12 @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5231,zip_derived_cl116,zip_derived_cl41,zip_derived_cl121]) ).

thf(zip_derived_cl7343,plain,
    ( ( ( sum @ n7 @ n7 )
     != n14 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl228,zip_derived_cl6595]) ).

thf(zip_derived_cl153_323,plain,
    ( ( sum @ n7 @ n7 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7344,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7343,zip_derived_cl153]) ).

thf('38',plain,
    ( ( sk__1 != n1 )
    | ( sk_ != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7344]) ).

thf(zip_derived_cl221_324,plain,
    ( ( sum @ n11 @ n11 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl189_325,plain,
    ( ( sum @ n9 @ n11 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl437_326,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5191_327,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl2278]) ).

thf(zip_derived_cl5202,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl5191]) ).

thf(zip_derived_cl28_328,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_329,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl28_330,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_331,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5235,plain,
    ( ( ( sum @ ( sum @ n9 @ n2 ) @ ( sum @ n0 @ n11 ) )
     != ( sum @ ( sum @ n9 @ n11 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5202,zip_derived_cl28,zip_derived_cl12,zip_derived_cl28,zip_derived_cl12]) ).

thf(zip_derived_cl45,plain,
    ( ( sum @ n0 @ n11 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6599,plain,
    ( ( ( sum @ ( sum @ n9 @ n2 ) @ n11 )
     != ( sum @ ( sum @ n9 @ n11 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5235,zip_derived_cl45]) ).

thf(zip_derived_cl6917,plain,
    ( ( ( sum @ ( sum @ n9 @ n2 ) @ n11 )
     != ( sum @ n4 @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl6599]) ).

thf(zip_derived_cl180,plain,
    ( ( sum @ n9 @ n2 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl100,plain,
    ( ( sum @ n4 @ n2 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6926,plain,
    ( ( ( sum @ n11 @ n11 )
     != n6 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6917,zip_derived_cl180,zip_derived_cl100]) ).

thf(zip_derived_cl7221,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl6926]) ).

thf('39',plain,
    ( ( sk__1 != n1 )
    | ( sk_ != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7221]) ).

thf(zip_derived_cl204_332,plain,
    ( ( sum @ n10 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl172_333,plain,
    ( ( sum @ n8 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl436_334,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5191_335,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl2278]) ).

thf(zip_derived_cl5201,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl5191]) ).

thf(zip_derived_cl27_336,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_337,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl27_338,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_339,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5234,plain,
    ( ( ( sum @ ( sum @ n8 @ n2 ) @ ( sum @ n0 @ n10 ) )
     != ( sum @ ( sum @ n8 @ n10 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5201,zip_derived_cl27,zip_derived_cl11,zip_derived_cl27,zip_derived_cl11]) ).

thf(zip_derived_cl44,plain,
    ( ( sum @ n0 @ n10 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6598,plain,
    ( ( ( sum @ ( sum @ n8 @ n2 ) @ n10 )
     != ( sum @ ( sum @ n8 @ n10 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5234,zip_derived_cl44]) ).

thf(zip_derived_cl6784,plain,
    ( ( ( sum @ ( sum @ n8 @ n2 ) @ n10 )
     != ( sum @ n2 @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl6598]) ).

thf(zip_derived_cl164_340,plain,
    ( ( sum @ n8 @ n2 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl68_341,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6788,plain,
    ( ( ( sum @ n10 @ n10 )
     != n4 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6784,zip_derived_cl164,zip_derived_cl68]) ).

thf(zip_derived_cl7058,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl6788]) ).

thf('40',plain,
    ( ( sk__1 != n1 )
    | ( sk_ != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7058]) ).

thf(zip_derived_cl196_342,plain,
    ( ( sum @ n10 @ n2 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl432_343,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5191_344,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl2278]) ).

thf(zip_derived_cl5197,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl5191]) ).

thf(zip_derived_cl23_345,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_346,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_347,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_348,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5230,plain,
    ( ( ( sum @ ( sum @ n4 @ n2 ) @ ( sum @ n0 @ n6 ) )
     != ( sum @ ( sum @ n4 @ n6 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5197,zip_derived_cl23,zip_derived_cl7,zip_derived_cl23,zip_derived_cl7]) ).

thf(zip_derived_cl100_349,plain,
    ( ( sum @ n4 @ n2 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl40,plain,
    ( ( sum @ n0 @ n6 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl136_350,plain,
    ( ( sum @ n6 @ n6 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl104_351,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6594,plain,
    ( ( n12
     != ( sum @ n10 @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5230,zip_derived_cl100,zip_derived_cl40,zip_derived_cl136,zip_derived_cl104]) ).

thf(zip_derived_cl7009,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl6594]) ).

thf('41',plain,
    ( ( sk__1 != n1 )
    | ( sk_ != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7009]) ).

thf(zip_derived_cl187_352,plain,
    ( ( sum @ n9 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl155_353,plain,
    ( ( sum @ n7 @ n9 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl435_354,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5191_355,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl2278]) ).

thf(zip_derived_cl5200,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl5191]) ).

thf(zip_derived_cl26_356,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_357,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_358,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_359,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5233,plain,
    ( ( ( sum @ ( sum @ n7 @ n2 ) @ ( sum @ n0 @ n9 ) )
     != ( sum @ ( sum @ n7 @ n9 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5200,zip_derived_cl26,zip_derived_cl10,zip_derived_cl26,zip_derived_cl10]) ).

thf(zip_derived_cl43,plain,
    ( ( sum @ n0 @ n9 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6597,plain,
    ( ( ( sum @ ( sum @ n7 @ n2 ) @ n9 )
     != ( sum @ ( sum @ n7 @ n9 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5233,zip_derived_cl43]) ).

thf(zip_derived_cl6651,plain,
    ( ( ( sum @ ( sum @ n7 @ n2 ) @ n9 )
     != ( sum @ n0 @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl6597]) ).

thf(zip_derived_cl148,plain,
    ( ( sum @ n7 @ n2 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_360,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6655,plain,
    ( ( ( sum @ n9 @ n9 )
     != n2 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6651,zip_derived_cl148,zip_derived_cl36]) ).

thf(zip_derived_cl6903,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl6655]) ).

thf('42',plain,
    ( ( sk__1 != n1 )
    | ( sk_ != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6903]) ).

thf(zip_derived_cl164_361,plain,
    ( ( sum @ n8 @ n2 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl431_362,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5191_363,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl2278]) ).

thf(zip_derived_cl5196,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl5191]) ).

thf(zip_derived_cl22_364,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_365,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_366,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_367,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5229,plain,
    ( ( ( sum @ ( sum @ n3 @ n2 ) @ ( sum @ n0 @ n5 ) )
     != ( sum @ ( sum @ n3 @ n5 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5196,zip_derived_cl22,zip_derived_cl6,zip_derived_cl22,zip_derived_cl6]) ).

thf(zip_derived_cl84,plain,
    ( ( sum @ n3 @ n2 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl39,plain,
    ( ( sum @ n0 @ n5 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl119_368,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl87_369,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6593,plain,
    ( ( n10
     != ( sum @ n8 @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5229,zip_derived_cl84,zip_derived_cl39,zip_derived_cl119,zip_derived_cl87]) ).

thf(zip_derived_cl6740,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl164,zip_derived_cl6593]) ).

thf('43',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6740]) ).

thf(zip_derived_cl430_370,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5191_371,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl2278]) ).

thf(zip_derived_cl5195,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl5191]) ).

thf(zip_derived_cl21_372,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_373,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_374,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_375,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5228,plain,
    ( ( ( sum @ ( sum @ n2 @ n2 ) @ ( sum @ n0 @ n4 ) )
     != ( sum @ ( sum @ n2 @ n4 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5195,zip_derived_cl21,zip_derived_cl5,zip_derived_cl21,zip_derived_cl5]) ).

thf(zip_derived_cl68_376,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl38_377,plain,
    ( ( sum @ n0 @ n4 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl102_378,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl70_379,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl132_380,plain,
    ( ( sum @ n6 @ n2 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6591,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5228,zip_derived_cl68,zip_derived_cl38,zip_derived_cl102,zip_derived_cl70,zip_derived_cl132]) ).

thf('44',plain,
    ( ( sk__1 != n1 )
    | ( sk_ != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6591]) ).

thf(zip_derived_cl429_381,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5191_382,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl2278]) ).

thf(zip_derived_cl5194,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl5191]) ).

thf(zip_derived_cl20_383,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_384,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_385,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_386,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5227,plain,
    ( ( ( sum @ ( sum @ n1 @ n2 ) @ ( sum @ n0 @ n3 ) )
     != ( sum @ ( sum @ n1 @ n3 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5194,zip_derived_cl20,zip_derived_cl4,zip_derived_cl20,zip_derived_cl4]) ).

thf(zip_derived_cl52_387,plain,
    ( ( sum @ n1 @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl37_388,plain,
    ( ( sum @ n0 @ n3 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl85_389,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl53_390,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl100_391,plain,
    ( ( sum @ n4 @ n2 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6589,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5227,zip_derived_cl52,zip_derived_cl37,zip_derived_cl85,zip_derived_cl53,zip_derived_cl100]) ).

thf('45',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6589]) ).

thf(zip_derived_cl412_392,plain,
    ( ( sk__1 = n1 )
   <= ( sk__1 = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl428_393,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl0_394,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl610,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
   <= ( sk_ = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl0]) ).

thf(zip_derived_cl3_395,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_396,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl613,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n2 ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ n2 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
   <= ( sk_ = n1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl610,zip_derived_cl3,zip_derived_cl3]) ).

thf(zip_derived_cl843,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ ( sum @ ( pred @ n1 ) @ n2 ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ n2 ) @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl613]) ).

thf(zip_derived_cl3_397,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_398,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl877,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n2 ) @ ( sum @ ( pred @ n1 ) @ n2 ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ n2 ) @ ( sum @ ( pred @ n1 ) @ n2 ) ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl843,zip_derived_cl3,zip_derived_cl3]) ).

thf('46',plain,
    ( ( sk__1 != n1 )
    | ( sk_ != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl877]) ).

thf(zip_derived_cl439_399,plain,
    ( ( sk_ = n12 )
   <= ( sk_ = n12 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7890_400,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl2073]) ).

thf(zip_derived_cl7915,plain,
    ( ( ( sum @ ( sum @ ( pred @ n12 ) @ n1 ) @ ( sum @ n15 @ ( succ @ n12 ) ) )
     != ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl7890]) ).

thf(zip_derived_cl30_401,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl211,plain,
    ( ( sum @ n11 @ n1 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_402,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl30_403,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_404,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl223_405,plain,
    ( ( sum @ n11 @ n13 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl162,plain,
    ( ( sum @ n8 @ n0 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7948,plain,
    ( ( ( sum @ n12 @ ( sum @ n15 @ n13 ) )
     != n8 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7915,zip_derived_cl30,zip_derived_cl211,zip_derived_cl14,zip_derived_cl30,zip_derived_cl14,zip_derived_cl223,zip_derived_cl162]) ).

thf(zip_derived_cl287,plain,
    ( ( sum @ n15 @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl238_406,plain,
    ( ( sum @ n12 @ n12 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8133,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7948,zip_derived_cl287,zip_derived_cl238]) ).

thf('47',plain,
    ( ( sk_ != n12 )
    | ( sk__1 != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8133]) ).

thf(zip_derived_cl289_407,plain,
    ( ( sum @ n15 @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl223_408,plain,
    ( ( sum @ n11 @ n13 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl439_409,plain,
    ( ( sk_ = n12 )
   <= ( sk_ = n12 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5759_410,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl2703]) ).

thf(zip_derived_cl5772,plain,
    ( ( ( sum @ ( sum @ ( pred @ n12 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n12 ) ) )
     != ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl5759]) ).

thf(zip_derived_cl30_411,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_412,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl30_413,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_414,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5805,plain,
    ( ( ( sum @ ( sum @ n11 @ n4 ) @ ( sum @ n2 @ n13 ) )
     != ( sum @ ( sum @ n11 @ n13 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5772,zip_derived_cl30,zip_derived_cl14,zip_derived_cl30,zip_derived_cl14]) ).

thf(zip_derived_cl79,plain,
    ( ( sum @ n2 @ n13 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6735,plain,
    ( ( ( sum @ ( sum @ n11 @ n4 ) @ n15 )
     != ( sum @ ( sum @ n11 @ n13 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5805,zip_derived_cl79]) ).

thf(zip_derived_cl7237,plain,
    ( ( ( sum @ ( sum @ n11 @ n4 ) @ n15 )
     != ( sum @ n8 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl6735]) ).

thf(zip_derived_cl214,plain,
    ( ( sum @ n11 @ n4 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl168,plain,
    ( ( sum @ n8 @ n6 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7248,plain,
    ( ( ( sum @ n15 @ n15 )
     != n14 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7237,zip_derived_cl214,zip_derived_cl168]) ).

thf(zip_derived_cl8104,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl7248]) ).

thf('48',plain,
    ( ( sk_ != n12 )
    | ( sk__1 != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8104]) ).

thf(zip_derived_cl439_415,plain,
    ( ( sk_ = n12 )
   <= ( sk_ = n12 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7726_416,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl5055]) ).

thf(zip_derived_cl7739,plain,
    ( ( ( sum @ ( sum @ ( pred @ n12 ) @ n0 ) @ ( sum @ n14 @ ( succ @ n12 ) ) )
     != ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n14 ) )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl7726]) ).

thf(zip_derived_cl30_417,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl210,plain,
    ( ( sum @ n11 @ n0 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_418,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl30_419,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_420,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl223_421,plain,
    ( ( sum @ n11 @ n13 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl176_422,plain,
    ( ( sum @ n8 @ n14 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7771,plain,
    ( ( ( sum @ n11 @ ( sum @ n14 @ n13 ) )
     != n6 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7739,zip_derived_cl30,zip_derived_cl210,zip_derived_cl14,zip_derived_cl30,zip_derived_cl14,zip_derived_cl223,zip_derived_cl176]) ).

thf(zip_derived_cl271,plain,
    ( ( sum @ n14 @ n13 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl221_423,plain,
    ( ( sum @ n11 @ n11 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8005,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7771,zip_derived_cl271,zip_derived_cl221]) ).

thf('49',plain,
    ( ( sk_ != n12 )
    | ( sk__1 != n15 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8005]) ).

thf(zip_derived_cl439_424,plain,
    ( ( sk_ = n12 )
   <= ( sk_ = n12 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7599_425,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl4920]) ).

thf(zip_derived_cl7650,plain,
    ( ( ( sum @ ( sum @ ( pred @ n12 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n12 ) ) )
     != ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n12 ) )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl7599]) ).

thf(zip_derived_cl30_426,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl225,plain,
    ( ( sum @ n11 @ n15 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_427,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl255_428,plain,
    ( ( sum @ n13 @ n13 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl204_429,plain,
    ( ( sum @ n10 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl30_430,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_431,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl223_432,plain,
    ( ( sum @ n11 @ n13 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl174,plain,
    ( ( sum @ n8 @ n12 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7691,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7650,zip_derived_cl30,zip_derived_cl225,zip_derived_cl14,zip_derived_cl255,zip_derived_cl204,zip_derived_cl30,zip_derived_cl14,zip_derived_cl223,zip_derived_cl174]) ).

thf('50',plain,
    ( ( sk_ != n12 )
    | ( sk__1 != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7691]) ).

thf(zip_derived_cl439_433,plain,
    ( ( sk_ = n12 )
   <= ( sk_ = n12 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl240_434,plain,
    ( ( sum @ n12 @ n14 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl31_435,plain,
    ( ( pred @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1871_436,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ ( pred @ n13 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n13 ) @ n14 ) ) )
   <= ( sk__1 = n13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl554,zip_derived_cl15,zip_derived_cl15]) ).

thf(zip_derived_cl4783,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n12 @ n14 ) ) )
   <= ( sk__1 = n13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl1871]) ).

thf(zip_derived_cl7417,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl4783]) ).

thf(zip_derived_cl7464,plain,
    ( ( ( sum @ ( sum @ ( pred @ n12 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n12 ) ) )
     != ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl7417]) ).

thf(zip_derived_cl30_437,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl224_438,plain,
    ( ( sum @ n11 @ n14 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_439,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl239_440,plain,
    ( ( sum @ n12 @ n13 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl187_441,plain,
    ( ( sum @ n9 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl30_442,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_443,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl223_444,plain,
    ( ( sum @ n11 @ n13 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl172_445,plain,
    ( ( sum @ n8 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7504,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7464,zip_derived_cl30,zip_derived_cl224,zip_derived_cl14,zip_derived_cl239,zip_derived_cl187,zip_derived_cl30,zip_derived_cl14,zip_derived_cl223,zip_derived_cl172]) ).

thf('51',plain,
    ( ( sk_ != n12 )
    | ( sk__1 != n13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7504]) ).

thf(zip_derived_cl223_446,plain,
    ( ( sum @ n11 @ n13 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl439_447,plain,
    ( ( sk_ = n12 )
   <= ( sk_ = n12 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7071_448,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl4367]) ).

thf(zip_derived_cl7110,plain,
    ( ( ( sum @ ( sum @ ( pred @ n12 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n12 ) ) )
     != ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl7071]) ).

thf(zip_derived_cl30_449,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_450,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl207,plain,
    ( ( sum @ n10 @ n13 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl30_451,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_452,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7147,plain,
    ( ( ( sum @ ( sum @ n11 @ n12 ) @ n7 )
     != ( sum @ ( sum @ n11 @ n13 ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7110,zip_derived_cl30,zip_derived_cl14,zip_derived_cl207,zip_derived_cl30,zip_derived_cl14]) ).

thf(zip_derived_cl7245,plain,
    ( ( ( sum @ ( sum @ n11 @ n12 ) @ n7 )
     != ( sum @ n8 @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl7147]) ).

thf(zip_derived_cl222,plain,
    ( ( sum @ n11 @ n12 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl153_453,plain,
    ( ( sum @ n7 @ n7 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl168_454,plain,
    ( ( sum @ n8 @ n6 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7263,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7245,zip_derived_cl222,zip_derived_cl153,zip_derived_cl168]) ).

thf('52',plain,
    ( ( sk_ != n12 )
    | ( sk__1 != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7263]) ).

thf(zip_derived_cl223_455,plain,
    ( ( sum @ n11 @ n13 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl439_456,plain,
    ( ( sk_ = n12 )
   <= ( sk_ = n12 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6916_457,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl4161]) ).

thf(zip_derived_cl6951,plain,
    ( ( ( sum @ ( sum @ ( pred @ n12 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n12 ) ) )
     != ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl6916]) ).

thf(zip_derived_cl30_458,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_459,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl30_460,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_461,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6986,plain,
    ( ( ( sum @ ( sum @ n11 @ n11 ) @ ( sum @ n9 @ n13 ) )
     != ( sum @ ( sum @ n11 @ n13 ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6951,zip_derived_cl30,zip_derived_cl14,zip_derived_cl30,zip_derived_cl14]) ).

thf(zip_derived_cl191,plain,
    ( ( sum @ n9 @ n13 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7046,plain,
    ( ( ( sum @ ( sum @ n11 @ n11 ) @ n6 )
     != ( sum @ ( sum @ n11 @ n13 ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6986,zip_derived_cl191]) ).

thf(zip_derived_cl7244,plain,
    ( ( ( sum @ ( sum @ n11 @ n11 ) @ n6 )
     != ( sum @ n8 @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl7046]) ).

thf(zip_derived_cl221_462,plain,
    ( ( sum @ n11 @ n11 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl136_463,plain,
    ( ( sum @ n6 @ n6 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl166_464,plain,
    ( ( sum @ n8 @ n4 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7261,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7244,zip_derived_cl221,zip_derived_cl136,zip_derived_cl166]) ).

thf('53',plain,
    ( ( sk_ != n12 )
    | ( sk__1 != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7261]) ).

thf(zip_derived_cl223_465,plain,
    ( ( sum @ n11 @ n13 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl439_466,plain,
    ( ( sk_ = n12 )
   <= ( sk_ = n12 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6783_467,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl3956]) ).

thf(zip_derived_cl6805,plain,
    ( ( ( sum @ ( sum @ ( pred @ n12 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n12 ) ) )
     != ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl6783]) ).

thf(zip_derived_cl30_468,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_469,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl30_470,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_471,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6839,plain,
    ( ( ( sum @ ( sum @ n11 @ n10 ) @ ( sum @ n8 @ n13 ) )
     != ( sum @ ( sum @ n11 @ n13 ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6805,zip_derived_cl30,zip_derived_cl14,zip_derived_cl30,zip_derived_cl14]) ).

thf(zip_derived_cl175,plain,
    ( ( sum @ n8 @ n13 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7035,plain,
    ( ( ( sum @ ( sum @ n11 @ n10 ) @ n5 )
     != ( sum @ ( sum @ n11 @ n13 ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6839,zip_derived_cl175]) ).

thf(zip_derived_cl7243,plain,
    ( ( ( sum @ ( sum @ n11 @ n10 ) @ n5 )
     != ( sum @ n8 @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl7035]) ).

thf(zip_derived_cl220,plain,
    ( ( sum @ n11 @ n10 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl119_472,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl164_473,plain,
    ( ( sum @ n8 @ n2 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7259,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7243,zip_derived_cl220,zip_derived_cl119,zip_derived_cl164]) ).

thf('54',plain,
    ( ( sk_ != n12 )
    | ( sk__1 != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7259]) ).

thf(zip_derived_cl223_474,plain,
    ( ( sum @ n11 @ n13 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl439_475,plain,
    ( ( sk_ = n12 )
   <= ( sk_ = n12 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6649_476,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl3749]) ).

thf(zip_derived_cl6670,plain,
    ( ( ( sum @ ( sum @ ( pred @ n12 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n12 ) ) )
     != ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl6649]) ).

thf(zip_derived_cl30_477,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_478,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl30_479,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_480,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6703,plain,
    ( ( ( sum @ ( sum @ n11 @ n9 ) @ ( sum @ n7 @ n13 ) )
     != ( sum @ ( sum @ n11 @ n13 ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6670,zip_derived_cl30,zip_derived_cl14,zip_derived_cl30,zip_derived_cl14]) ).

thf(zip_derived_cl159,plain,
    ( ( sum @ n7 @ n13 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7017,plain,
    ( ( ( sum @ ( sum @ n11 @ n9 ) @ n4 )
     != ( sum @ ( sum @ n11 @ n13 ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6703,zip_derived_cl159]) ).

thf(zip_derived_cl7242,plain,
    ( ( ( sum @ ( sum @ n11 @ n9 ) @ n4 )
     != ( sum @ n8 @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl7017]) ).

thf(zip_derived_cl219,plain,
    ( ( sum @ n11 @ n9 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl102_481,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl162_482,plain,
    ( ( sum @ n8 @ n0 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7257,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7242,zip_derived_cl219,zip_derived_cl102,zip_derived_cl162]) ).

thf('55',plain,
    ( ( sk_ != n12 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7257]) ).

thf(zip_derived_cl223_483,plain,
    ( ( sum @ n11 @ n13 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl439_484,plain,
    ( ( sk_ = n12 )
   <= ( sk_ = n12 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6522_485,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl3542]) ).

thf(zip_derived_cl6535,plain,
    ( ( ( sum @ ( sum @ ( pred @ n12 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n12 ) ) )
     != ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl6522]) ).

thf(zip_derived_cl30_486,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_487,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl30_488,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_489,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6568,plain,
    ( ( ( sum @ ( sum @ n11 @ n8 ) @ ( sum @ n6 @ n13 ) )
     != ( sum @ ( sum @ n11 @ n13 ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6535,zip_derived_cl30,zip_derived_cl14,zip_derived_cl30,zip_derived_cl14]) ).

thf(zip_derived_cl143,plain,
    ( ( sum @ n6 @ n13 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6895,plain,
    ( ( ( sum @ ( sum @ n11 @ n8 ) @ n3 )
     != ( sum @ ( sum @ n11 @ n13 ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6568,zip_derived_cl143]) ).

thf(zip_derived_cl7241,plain,
    ( ( ( sum @ ( sum @ n11 @ n8 ) @ n3 )
     != ( sum @ n8 @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl6895]) ).

thf(zip_derived_cl218,plain,
    ( ( sum @ n11 @ n8 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl85_490,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl176_491,plain,
    ( ( sum @ n8 @ n14 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7255,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7241,zip_derived_cl218,zip_derived_cl85,zip_derived_cl176]) ).

thf('56',plain,
    ( ( sk_ != n12 )
    | ( sk__1 != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7255]) ).

thf(zip_derived_cl223_492,plain,
    ( ( sum @ n11 @ n13 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl439_493,plain,
    ( ( sk_ = n12 )
   <= ( sk_ = n12 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6412_494,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl3335]) ).

thf(zip_derived_cl6426,plain,
    ( ( ( sum @ ( sum @ ( pred @ n12 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n12 ) ) )
     != ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl6412]) ).

thf(zip_derived_cl30_495,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_496,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl30_497,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_498,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6459,plain,
    ( ( ( sum @ ( sum @ n11 @ n7 ) @ ( sum @ n5 @ n13 ) )
     != ( sum @ ( sum @ n11 @ n13 ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6426,zip_derived_cl30,zip_derived_cl14,zip_derived_cl30,zip_derived_cl14]) ).

thf(zip_derived_cl127,plain,
    ( ( sum @ n5 @ n13 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6880,plain,
    ( ( ( sum @ ( sum @ n11 @ n7 ) @ n2 )
     != ( sum @ ( sum @ n11 @ n13 ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6459,zip_derived_cl127]) ).

thf(zip_derived_cl7240,plain,
    ( ( ( sum @ ( sum @ n11 @ n7 ) @ n2 )
     != ( sum @ n8 @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl6880]) ).

thf(zip_derived_cl217,plain,
    ( ( sum @ n11 @ n7 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl68_499,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl174_500,plain,
    ( ( sum @ n8 @ n12 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7253,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7240,zip_derived_cl217,zip_derived_cl68,zip_derived_cl174]) ).

thf('57',plain,
    ( ( sk_ != n12 )
    | ( sk__1 != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7253]) ).

thf(zip_derived_cl223_501,plain,
    ( ( sum @ n11 @ n13 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl439_502,plain,
    ( ( sk_ = n12 )
   <= ( sk_ = n12 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6272_503,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl3124]) ).

thf(zip_derived_cl6290,plain,
    ( ( ( sum @ ( sum @ ( pred @ n12 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n12 ) ) )
     != ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl6272]) ).

thf(zip_derived_cl30_504,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_505,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl30_506,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_507,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6323,plain,
    ( ( ( sum @ ( sum @ n11 @ n6 ) @ ( sum @ n4 @ n13 ) )
     != ( sum @ ( sum @ n11 @ n13 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6290,zip_derived_cl30,zip_derived_cl14,zip_derived_cl30,zip_derived_cl14]) ).

thf(zip_derived_cl111,plain,
    ( ( sum @ n4 @ n13 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6864,plain,
    ( ( ( sum @ ( sum @ n11 @ n6 ) @ n1 )
     != ( sum @ ( sum @ n11 @ n13 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6323,zip_derived_cl111]) ).

thf(zip_derived_cl7239,plain,
    ( ( ( sum @ ( sum @ n11 @ n6 ) @ n1 )
     != ( sum @ n8 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl6864]) ).

thf(zip_derived_cl216,plain,
    ( ( sum @ n11 @ n6 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl51_508,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl172_509,plain,
    ( ( sum @ n8 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7251,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7239,zip_derived_cl216,zip_derived_cl51,zip_derived_cl172]) ).

thf('58',plain,
    ( ( sk_ != n12 )
    | ( sk__1 != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7251]) ).

thf(zip_derived_cl223_510,plain,
    ( ( sum @ n11 @ n13 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl439_511,plain,
    ( ( sk_ = n12 )
   <= ( sk_ = n12 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6124_512,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl2913]) ).

thf(zip_derived_cl6137,plain,
    ( ( ( sum @ ( sum @ ( pred @ n12 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n12 ) ) )
     != ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl6124]) ).

thf(zip_derived_cl30_513,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_514,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl30_515,plain,
    ( ( pred @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_516,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6170,plain,
    ( ( ( sum @ ( sum @ n11 @ n5 ) @ ( sum @ n3 @ n13 ) )
     != ( sum @ ( sum @ n11 @ n13 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6137,zip_derived_cl30,zip_derived_cl14,zip_derived_cl30,zip_derived_cl14]) ).

thf(zip_derived_cl95,plain,
    ( ( sum @ n3 @ n13 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6762,plain,
    ( ( ( sum @ ( sum @ n11 @ n5 ) @ n0 )
     != ( sum @ ( sum @ n11 @ n13 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6170,zip_derived_cl95]) ).

thf(zip_derived_cl7238,plain,
    ( ( ( sum @ ( sum @ n11 @ n5 ) @ n0 )
     != ( sum @ n8 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl6762]) ).

thf(zip_derived_cl215,plain,
    ( ( sum @ n11 @ n5 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl34_517,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl170_518,plain,
    ( ( sum @ n8 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7249,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7238,zip_derived_cl215,zip_derived_cl34,zip_derived_cl170]) ).

thf('59',plain,
    ( ( sk_ != n12 )
    | ( sk__1 != n4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7249]) ).

thf(zip_derived_cl439_519,plain,
    ( ( sk_ = n12 )
   <= ( sk_ = n12 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl1805_520,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ ( pred @ n12 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n12 ) @ n13 ) ) )
   <= ( sk__1 = n12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl540,zip_derived_cl14,zip_derived_cl14]) ).

thf(zip_derived_cl1818,plain,
    ( ( ( sum @ ( sum @ ( pred @ n12 ) @ n13 ) @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) )
     != ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ ( sum @ ( pred @ n12 ) @ n13 ) ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl1805]) ).

thf(zip_derived_cl14_521,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_522,plain,
    ( ( succ @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1850,plain,
    ( ( ( sum @ ( sum @ ( pred @ n12 ) @ n13 ) @ ( sum @ ( pred @ n12 ) @ n13 ) )
     != ( sum @ ( sum @ ( pred @ n12 ) @ n13 ) @ ( sum @ ( pred @ n12 ) @ n13 ) ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1818,zip_derived_cl14,zip_derived_cl14]) ).

thf('60',plain,
    ( ( sk_ != n12 )
    | ( sk__1 != n12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1850]) ).

thf(zip_derived_cl289_523,plain,
    ( ( sum @ n15 @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl206_524,plain,
    ( ( sum @ n10 @ n12 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl438_525,plain,
    ( ( sk_ = n11 )
   <= ( sk_ = n11 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6124_526,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl2913]) ).

thf(zip_derived_cl6136,plain,
    ( ( ( sum @ ( sum @ ( pred @ n11 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n11 ) ) )
     != ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl6124]) ).

thf(zip_derived_cl29_527,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_528,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl29_529,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_530,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6169,plain,
    ( ( ( sum @ ( sum @ n10 @ n5 ) @ ( sum @ n3 @ n12 ) )
     != ( sum @ ( sum @ n10 @ n12 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6136,zip_derived_cl29,zip_derived_cl13,zip_derived_cl29,zip_derived_cl13]) ).

thf(zip_derived_cl94,plain,
    ( ( sum @ n3 @ n12 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6759,plain,
    ( ( ( sum @ ( sum @ n10 @ n5 ) @ n15 )
     != ( sum @ ( sum @ n10 @ n12 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6169,zip_derived_cl94]) ).

thf(zip_derived_cl7075,plain,
    ( ( ( sum @ ( sum @ n10 @ n5 ) @ n15 )
     != ( sum @ n6 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl6759]) ).

thf(zip_derived_cl199,plain,
    ( ( sum @ n10 @ n5 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl138_531,plain,
    ( ( sum @ n6 @ n8 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7085,plain,
    ( ( ( sum @ n15 @ n15 )
     != n14 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7075,zip_derived_cl199,zip_derived_cl138]) ).

thf(zip_derived_cl8102,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl7085]) ).

thf('61',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8102]) ).

thf(zip_derived_cl279,plain,
    ( ( sum @ n15 @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl427_532,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6124_533,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl2913]) ).

thf(zip_derived_cl6125,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl6124]) ).

thf(zip_derived_cl18_534,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_535,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl83,plain,
    ( ( sum @ n3 @ n1 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_536,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_537,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6157,plain,
    ( ( ( sum @ ( sum @ n15 @ n5 ) @ n4 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6125,zip_derived_cl18,zip_derived_cl2,zip_derived_cl83,zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl7996,plain,
    ( ( ( sum @ n4 @ n4 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl279,zip_derived_cl6157]) ).

thf(zip_derived_cl102_538,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl275_539,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl42_540,plain,
    ( ( sum @ n0 @ n8 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7997,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7996,zip_derived_cl102,zip_derived_cl275,zip_derived_cl42]) ).

thf('62',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7997]) ).

thf(zip_derived_cl272_541,plain,
    ( ( sum @ n14 @ n14 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl189_542,plain,
    ( ( sum @ n9 @ n11 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl437_543,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6124_544,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl2913]) ).

thf(zip_derived_cl6135,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl6124]) ).

thf(zip_derived_cl28_545,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_546,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl28_547,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_548,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6168,plain,
    ( ( ( sum @ ( sum @ n9 @ n5 ) @ ( sum @ n3 @ n11 ) )
     != ( sum @ ( sum @ n9 @ n11 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6135,zip_derived_cl28,zip_derived_cl12,zip_derived_cl28,zip_derived_cl12]) ).

thf(zip_derived_cl93,plain,
    ( ( sum @ n3 @ n11 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6758,plain,
    ( ( ( sum @ ( sum @ n9 @ n5 ) @ n14 )
     != ( sum @ ( sum @ n9 @ n11 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6168,zip_derived_cl93]) ).

thf(zip_derived_cl6920,plain,
    ( ( ( sum @ ( sum @ n9 @ n5 ) @ n14 )
     != ( sum @ n4 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl6758]) ).

thf(zip_derived_cl183,plain,
    ( ( sum @ n9 @ n5 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl106,plain,
    ( ( sum @ n4 @ n8 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6929,plain,
    ( ( ( sum @ n14 @ n14 )
     != n12 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6920,zip_derived_cl183,zip_derived_cl106]) ).

thf(zip_derived_cl7865,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl6929]) ).

thf('63',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7865]) ).

thf(zip_derived_cl263,plain,
    ( ( sum @ n14 @ n5 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl442_549,plain,
    ( ( sk_ = n15 )
   <= ( sk_ = n15 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6124_550,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl2913]) ).

thf(zip_derived_cl6140,plain,
    ( ( ( sum @ ( sum @ ( pred @ n15 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n15 ) ) )
     != ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl6124]) ).

thf(zip_derived_cl33_551,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_552,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl82,plain,
    ( ( sum @ n3 @ n0 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl33_553,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_554,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6173,plain,
    ( ( ( sum @ ( sum @ n14 @ n5 ) @ n3 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6140,zip_derived_cl33,zip_derived_cl17,zip_derived_cl82,zip_derived_cl33,zip_derived_cl17]) ).

thf(zip_derived_cl7810,plain,
    ( ( ( sum @ n3 @ n3 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl6173]) ).

thf(zip_derived_cl85_555,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl258_556,plain,
    ( ( sum @ n14 @ n0 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7811,plain,
    ( ( n6
     != ( sum @ n14 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7810,zip_derived_cl85,zip_derived_cl258]) ).

thf(zip_derived_cl266,plain,
    ( ( sum @ n14 @ n8 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7859,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7811,zip_derived_cl266]) ).

thf('64',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n15 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7859]) ).

thf(zip_derived_cl266_557,plain,
    ( ( sum @ n14 @ n8 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl434_558,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6124_559,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl2913]) ).

thf(zip_derived_cl6132,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl6124]) ).

thf(zip_derived_cl25_560,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_561,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl25_562,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_563,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6165,plain,
    ( ( ( sum @ ( sum @ n6 @ n5 ) @ ( sum @ n3 @ n8 ) )
     != ( sum @ ( sum @ n6 @ n8 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6132,zip_derived_cl25,zip_derived_cl9,zip_derived_cl25,zip_derived_cl9]) ).

thf(zip_derived_cl135,plain,
    ( ( sum @ n6 @ n5 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl90,plain,
    ( ( sum @ n3 @ n8 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl138_564,plain,
    ( ( sum @ n6 @ n8 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6755,plain,
    ( ( ( sum @ n11 @ n11 )
     != ( sum @ n14 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6165,zip_derived_cl135,zip_derived_cl90,zip_derived_cl138]) ).

thf(zip_derived_cl7822,plain,
    ( ( ( sum @ n11 @ n11 )
     != n6 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6755]) ).

thf(zip_derived_cl221_565,plain,
    ( ( sum @ n11 @ n11 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7825,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7822,zip_derived_cl221]) ).

thf('65',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7825]) ).

thf(zip_derived_cl257_566,plain,
    ( ( sum @ n13 @ n15 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl441_567,plain,
    ( ( sk_ = n14 )
   <= ( sk_ = n14 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6124_568,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl2913]) ).

thf(zip_derived_cl6139,plain,
    ( ( ( sum @ ( sum @ ( pred @ n14 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n14 ) ) )
     != ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl6124]) ).

thf(zip_derived_cl32_569,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_570,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl32_571,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_572,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6172,plain,
    ( ( ( sum @ ( sum @ n13 @ n5 ) @ ( sum @ n3 @ n15 ) )
     != ( sum @ ( sum @ n13 @ n15 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6139,zip_derived_cl32,zip_derived_cl16,zip_derived_cl32,zip_derived_cl16]) ).

thf(zip_derived_cl97,plain,
    ( ( sum @ n3 @ n15 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6764,plain,
    ( ( ( sum @ ( sum @ n13 @ n5 ) @ n2 )
     != ( sum @ ( sum @ n13 @ n15 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6172,zip_derived_cl97]) ).

thf(zip_derived_cl7603,plain,
    ( ( ( sum @ ( sum @ n13 @ n5 ) @ n2 )
     != ( sum @ n12 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl6764]) ).

thf(zip_derived_cl247,plain,
    ( ( sum @ n13 @ n5 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl68_573,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl234_574,plain,
    ( ( sum @ n12 @ n8 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7618,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7603,zip_derived_cl247,zip_derived_cl68,zip_derived_cl234]) ).

thf('66',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7618]) ).

thf(zip_derived_cl255_575,plain,
    ( ( sum @ n13 @ n13 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl172_576,plain,
    ( ( sum @ n8 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl436_577,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6124_578,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl2913]) ).

thf(zip_derived_cl6134,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl6124]) ).

thf(zip_derived_cl27_579,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_580,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl27_581,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_582,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6167,plain,
    ( ( ( sum @ ( sum @ n8 @ n5 ) @ ( sum @ n3 @ n10 ) )
     != ( sum @ ( sum @ n8 @ n10 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6134,zip_derived_cl27,zip_derived_cl11,zip_derived_cl27,zip_derived_cl11]) ).

thf(zip_derived_cl167,plain,
    ( ( sum @ n8 @ n5 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl92,plain,
    ( ( sum @ n3 @ n10 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6757,plain,
    ( ( ( sum @ n13 @ n13 )
     != ( sum @ ( sum @ n8 @ n10 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6167,zip_derived_cl167,zip_derived_cl92]) ).

thf(zip_derived_cl6787,plain,
    ( ( ( sum @ n13 @ n13 )
     != ( sum @ n2 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl6757]) ).

thf(zip_derived_cl74,plain,
    ( ( sum @ n2 @ n8 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6791,plain,
    ( ( ( sum @ n13 @ n13 )
     != n10 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6787,zip_derived_cl74]) ).

thf(zip_derived_cl7577,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl6791]) ).

thf('67',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7577]) ).

thf(zip_derived_cl238_583,plain,
    ( ( sum @ n12 @ n12 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl435_584,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6124_585,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl2913]) ).

thf(zip_derived_cl6133,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl6124]) ).

thf(zip_derived_cl26_586,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_587,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_588,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_589,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6166,plain,
    ( ( ( sum @ ( sum @ n7 @ n5 ) @ ( sum @ n3 @ n9 ) )
     != ( sum @ ( sum @ n7 @ n9 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6133,zip_derived_cl26,zip_derived_cl10,zip_derived_cl26,zip_derived_cl10]) ).

thf(zip_derived_cl151,plain,
    ( ( sum @ n7 @ n5 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl91,plain,
    ( ( sum @ n3 @ n9 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl155_590,plain,
    ( ( sum @ n7 @ n9 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl42_591,plain,
    ( ( sum @ n0 @ n8 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6756,plain,
    ( ( ( sum @ n12 @ n12 )
     != n8 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6166,zip_derived_cl151,zip_derived_cl91,zip_derived_cl155,zip_derived_cl42]) ).

thf(zip_derived_cl7399,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl6756]) ).

thf('68',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7399]) ).

thf(zip_derived_cl234_592,plain,
    ( ( sum @ n12 @ n8 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl433_593,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6124_594,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl2913]) ).

thf(zip_derived_cl6131,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl6124]) ).

thf(zip_derived_cl24_595,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_596,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_597,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_598,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6164,plain,
    ( ( ( sum @ ( sum @ n5 @ n5 ) @ ( sum @ n3 @ n7 ) )
     != ( sum @ ( sum @ n5 @ n7 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6131,zip_derived_cl24,zip_derived_cl8,zip_derived_cl24,zip_derived_cl8]) ).

thf(zip_derived_cl119_599,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl89,plain,
    ( ( sum @ n3 @ n7 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl121_600,plain,
    ( ( sum @ n5 @ n7 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6754,plain,
    ( ( ( sum @ n10 @ n10 )
     != ( sum @ n12 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6164,zip_derived_cl119,zip_derived_cl89,zip_derived_cl121]) ).

thf(zip_derived_cl7362,plain,
    ( ( ( sum @ n10 @ n10 )
     != n4 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl234,zip_derived_cl6754]) ).

thf(zip_derived_cl204_601,plain,
    ( ( sum @ n10 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7364,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7362,zip_derived_cl204]) ).

thf('69',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7364]) ).

thf(zip_derived_cl202_602,plain,
    ( ( sum @ n10 @ n8 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl432_603,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6124_604,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl2913]) ).

thf(zip_derived_cl6130,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl6124]) ).

thf(zip_derived_cl23_605,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_606,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_607,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_608,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6163,plain,
    ( ( ( sum @ ( sum @ n4 @ n5 ) @ ( sum @ n3 @ n6 ) )
     != ( sum @ ( sum @ n4 @ n6 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6130,zip_derived_cl23,zip_derived_cl7,zip_derived_cl23,zip_derived_cl7]) ).

thf(zip_derived_cl103,plain,
    ( ( sum @ n4 @ n5 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl88,plain,
    ( ( sum @ n3 @ n6 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl104_609,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6753,plain,
    ( ( ( sum @ n9 @ n9 )
     != ( sum @ n10 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6163,zip_derived_cl103,zip_derived_cl88,zip_derived_cl104]) ).

thf(zip_derived_cl7043,plain,
    ( ( ( sum @ n9 @ n9 )
     != n2 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl6753]) ).

thf(zip_derived_cl187_610,plain,
    ( ( sum @ n9 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7044,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7043,zip_derived_cl187]) ).

thf('70',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7044]) ).

thf(zip_derived_cl153_611,plain,
    ( ( sum @ n7 @ n7 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl430_612,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6124_613,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl2913]) ).

thf(zip_derived_cl6128,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl6124]) ).

thf(zip_derived_cl21_614,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl71,plain,
    ( ( sum @ n2 @ n5 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_615,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl86,plain,
    ( ( sum @ n3 @ n4 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_616,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_617,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl70_618,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6160,plain,
    ( ( ( sum @ n7 @ n7 )
     != ( sum @ n6 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6128,zip_derived_cl21,zip_derived_cl71,zip_derived_cl5,zip_derived_cl86,zip_derived_cl21,zip_derived_cl5,zip_derived_cl70]) ).

thf(zip_derived_cl6636,plain,
    ( ( n14
     != ( sum @ n6 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl6160]) ).

thf(zip_derived_cl138_619,plain,
    ( ( sum @ n6 @ n8 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6639,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6636,zip_derived_cl138]) ).

thf('71',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6639]) ).

thf(zip_derived_cl136_620,plain,
    ( ( sum @ n6 @ n6 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl429_621,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6124_622,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl2913]) ).

thf(zip_derived_cl6127,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl6124]) ).

thf(zip_derived_cl20_623,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl55_624,plain,
    ( ( sum @ n1 @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_625,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl85_626,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_627,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_628,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl53_629,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6159,plain,
    ( ( ( sum @ n6 @ n6 )
     != ( sum @ n4 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6127,zip_derived_cl20,zip_derived_cl55,zip_derived_cl4,zip_derived_cl85,zip_derived_cl20,zip_derived_cl4,zip_derived_cl53]) ).

thf(zip_derived_cl106_630,plain,
    ( ( sum @ n4 @ n8 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6365,plain,
    ( ( ( sum @ n6 @ n6 )
     != n12 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6159,zip_derived_cl106]) ).

thf(zip_derived_cl6517,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl6365]) ).

thf('72',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6517]) ).

thf(zip_derived_cl119_631,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl428_632,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6124_633,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl2913]) ).

thf(zip_derived_cl6126,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl6124]) ).

thf(zip_derived_cl19_634,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl39_635,plain,
    ( ( sum @ n0 @ n5 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_636,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl84_637,plain,
    ( ( sum @ n3 @ n2 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_638,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_639,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_640,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl74_641,plain,
    ( ( sum @ n2 @ n8 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6158,plain,
    ( ( ( sum @ n5 @ n5 )
     != n10 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6126,zip_derived_cl19,zip_derived_cl39,zip_derived_cl3,zip_derived_cl84,zip_derived_cl19,zip_derived_cl3,zip_derived_cl36,zip_derived_cl74]) ).

thf(zip_derived_cl6400,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl6158]) ).

thf('73',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6400]) ).

thf(zip_derived_cl431_642,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl1248_643,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ ( pred @ n4 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n4 ) @ n5 ) ) )
   <= ( sk__1 = n4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl458,zip_derived_cl6,zip_derived_cl6]) ).

thf(zip_derived_cl1255,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n5 ) @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ ( sum @ ( pred @ n4 ) @ n5 ) ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl1248]) ).

thf(zip_derived_cl6_644,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_645,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1287,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n5 ) @ ( sum @ ( pred @ n4 ) @ n5 ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ n5 ) @ ( sum @ ( pred @ n4 ) @ n5 ) ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1255,zip_derived_cl6,zip_derived_cl6]) ).

thf('74',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1287]) ).

thf(zip_derived_cl442_646,plain,
    ( ( sk_ = n15 )
   <= ( sk_ = n15 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7599_647,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl4920]) ).

thf(zip_derived_cl7653,plain,
    ( ( ( sum @ ( sum @ ( pred @ n15 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n15 ) ) )
     != ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n12 ) )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl7599]) ).

thf(zip_derived_cl33_648,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_649,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl242,plain,
    ( ( sum @ n13 @ n0 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl33_650,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_651,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7697,plain,
    ( ( ( sum @ ( sum @ n14 @ n15 ) @ n13 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n12 ) )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7653,zip_derived_cl33,zip_derived_cl17,zip_derived_cl242,zip_derived_cl33,zip_derived_cl17]) ).

thf(zip_derived_cl273,plain,
    ( ( sum @ n14 @ n15 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl255_652,plain,
    ( ( sum @ n13 @ n13 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl258_653,plain,
    ( ( sum @ n14 @ n0 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl270,plain,
    ( ( sum @ n14 @ n12 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8185,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7697,zip_derived_cl273,zip_derived_cl255,zip_derived_cl258,zip_derived_cl270]) ).

thf('75',plain,
    ( ( sk_ != n15 )
    | ( sk__1 != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8185]) ).

thf(zip_derived_cl289_654,plain,
    ( ( sum @ n15 @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl442_655,plain,
    ( ( sk_ = n15 )
   <= ( sk_ = n15 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7890_656,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl2073]) ).

thf(zip_derived_cl7918,plain,
    ( ( ( sum @ ( sum @ ( pred @ n15 ) @ n1 ) @ ( sum @ n15 @ ( succ @ n15 ) ) )
     != ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl7890]) ).

thf(zip_derived_cl33_657,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl259,plain,
    ( ( sum @ n14 @ n1 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_658,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl274,plain,
    ( ( sum @ n15 @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl33_659,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_660,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl258_661,plain,
    ( ( sum @ n14 @ n0 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl258_662,plain,
    ( ( sum @ n14 @ n0 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7951,plain,
    ( ( ( sum @ n15 @ n15 )
     != n14 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7918,zip_derived_cl33,zip_derived_cl259,zip_derived_cl17,zip_derived_cl274,zip_derived_cl33,zip_derived_cl17,zip_derived_cl258,zip_derived_cl258]) ).

thf(zip_derived_cl8110,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl7951]) ).

thf('76',plain,
    ( ( sk_ != n15 )
    | ( sk__1 != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8110]) ).

thf(zip_derived_cl266_663,plain,
    ( ( sum @ n14 @ n8 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl442_664,plain,
    ( ( sk_ = n15 )
   <= ( sk_ = n15 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6522_665,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl3542]) ).

thf(zip_derived_cl6538,plain,
    ( ( ( sum @ ( sum @ ( pred @ n15 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n15 ) ) )
     != ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl6522]) ).

thf(zip_derived_cl33_666,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_667,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl130,plain,
    ( ( sum @ n6 @ n0 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl33_668,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_669,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6571,plain,
    ( ( ( sum @ ( sum @ n14 @ n8 ) @ n6 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6538,zip_derived_cl33,zip_derived_cl17,zip_derived_cl130,zip_derived_cl33,zip_derived_cl17]) ).

thf(zip_derived_cl7821,plain,
    ( ( ( sum @ n6 @ n6 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6571]) ).

thf(zip_derived_cl136_670,plain,
    ( ( sum @ n6 @ n6 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl258_671,plain,
    ( ( sum @ n14 @ n0 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7824,plain,
    ( ( n12
     != ( sum @ n14 @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7821,zip_derived_cl136,zip_derived_cl258]) ).

thf(zip_derived_cl272_672,plain,
    ( ( sum @ n14 @ n14 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7974,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7824,zip_derived_cl272]) ).

thf('77',plain,
    ( ( sk_ != n15 )
    | ( sk__1 != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7974]) ).

thf(zip_derived_cl265,plain,
    ( ( sum @ n14 @ n7 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl442_673,plain,
    ( ( sk_ = n15 )
   <= ( sk_ = n15 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6412_674,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl3335]) ).

thf(zip_derived_cl6429,plain,
    ( ( ( sum @ ( sum @ ( pred @ n15 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n15 ) ) )
     != ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl6412]) ).

thf(zip_derived_cl33_675,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_676,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl114,plain,
    ( ( sum @ n5 @ n0 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl33_677,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_678,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6462,plain,
    ( ( ( sum @ ( sum @ n14 @ n7 ) @ n5 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6429,zip_derived_cl33,zip_derived_cl17,zip_derived_cl114,zip_derived_cl33,zip_derived_cl17]) ).

thf(zip_derived_cl7819,plain,
    ( ( ( sum @ n5 @ n5 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl6462]) ).

thf(zip_derived_cl119_679,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl258_680,plain,
    ( ( sum @ n14 @ n0 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7820,plain,
    ( ( n10
     != ( sum @ n14 @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7819,zip_derived_cl119,zip_derived_cl258]) ).

thf(zip_derived_cl270_681,plain,
    ( ( sum @ n14 @ n12 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7969,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7820,zip_derived_cl270]) ).

thf('78',plain,
    ( ( sk_ != n15 )
    | ( sk__1 != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7969]) ).

thf(zip_derived_cl264,plain,
    ( ( sum @ n14 @ n6 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl442_682,plain,
    ( ( sk_ = n15 )
   <= ( sk_ = n15 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6272_683,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl3124]) ).

thf(zip_derived_cl6293,plain,
    ( ( ( sum @ ( sum @ ( pred @ n15 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n15 ) ) )
     != ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl6272]) ).

thf(zip_derived_cl33_684,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_685,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl98,plain,
    ( ( sum @ n4 @ n0 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl33_686,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_687,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6326,plain,
    ( ( ( sum @ ( sum @ n14 @ n6 ) @ n4 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6293,zip_derived_cl33,zip_derived_cl17,zip_derived_cl98,zip_derived_cl33,zip_derived_cl17]) ).

thf(zip_derived_cl7812,plain,
    ( ( ( sum @ n4 @ n4 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl6326]) ).

thf(zip_derived_cl102_688,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl258_689,plain,
    ( ( sum @ n14 @ n0 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7815,plain,
    ( ( n8
     != ( sum @ n14 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7812,zip_derived_cl102,zip_derived_cl258]) ).

thf(zip_derived_cl268,plain,
    ( ( sum @ n14 @ n10 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7901,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7815,zip_derived_cl268]) ).

thf('79',plain,
    ( ( sk_ != n15 )
    | ( sk__1 != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7901]) ).

thf(zip_derived_cl272_690,plain,
    ( ( sum @ n14 @ n14 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl442_691,plain,
    ( ( sk_ = n15 )
   <= ( sk_ = n15 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7417_692,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl4783]) ).

thf(zip_derived_cl7467,plain,
    ( ( ( sum @ ( sum @ ( pred @ n15 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n15 ) ) )
     != ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl7417]) ).

thf(zip_derived_cl33_693,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_694,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl226_695,plain,
    ( ( sum @ n12 @ n0 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl33_696,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_697,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7509,plain,
    ( ( ( sum @ ( sum @ n14 @ n14 ) @ n12 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7467,zip_derived_cl33,zip_derived_cl17,zip_derived_cl226,zip_derived_cl33,zip_derived_cl17]) ).

thf(zip_derived_cl7873,plain,
    ( ( ( sum @ n12 @ n12 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl7509]) ).

thf(zip_derived_cl238_698,plain,
    ( ( sum @ n12 @ n12 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl258_699,plain,
    ( ( sum @ n14 @ n0 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl268_700,plain,
    ( ( sum @ n14 @ n10 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7888,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7873,zip_derived_cl238,zip_derived_cl258,zip_derived_cl268]) ).

thf('80',plain,
    ( ( sk_ != n15 )
    | ( sk__1 != n13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7888]) ).

thf(zip_derived_cl262_701,plain,
    ( ( sum @ n14 @ n4 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl442_702,plain,
    ( ( sk_ = n15 )
   <= ( sk_ = n15 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5759_703,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl2703]) ).

thf(zip_derived_cl5775,plain,
    ( ( ( sum @ ( sum @ ( pred @ n15 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n15 ) ) )
     != ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl5759]) ).

thf(zip_derived_cl33_704,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_705,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl66,plain,
    ( ( sum @ n2 @ n0 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl33_706,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_707,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5808,plain,
    ( ( ( sum @ ( sum @ n14 @ n4 ) @ n2 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5775,zip_derived_cl33,zip_derived_cl17,zip_derived_cl66,zip_derived_cl33,zip_derived_cl17]) ).

thf(zip_derived_cl7803,plain,
    ( ( ( sum @ n2 @ n2 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl5808]) ).

thf(zip_derived_cl68_708,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl258_709,plain,
    ( ( sum @ n14 @ n0 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7806,plain,
    ( ( n4
     != ( sum @ n14 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7803,zip_derived_cl68,zip_derived_cl258]) ).

thf(zip_derived_cl264_710,plain,
    ( ( sum @ n14 @ n6 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7857,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7806,zip_derived_cl264]) ).

thf('81',plain,
    ( ( sk_ != n15 )
    | ( sk__1 != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7857]) ).

thf(zip_derived_cl271_711,plain,
    ( ( sum @ n14 @ n13 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl442_712,plain,
    ( ( sk_ = n15 )
   <= ( sk_ = n15 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7234_713,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl4573]) ).

thf(zip_derived_cl7280,plain,
    ( ( ( sum @ ( sum @ ( pred @ n15 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n15 ) ) )
     != ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl7234]) ).

thf(zip_derived_cl33_714,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_715,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl210_716,plain,
    ( ( sum @ n11 @ n0 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl33_717,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_718,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7319,plain,
    ( ( ( sum @ ( sum @ n14 @ n13 ) @ n11 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7280,zip_derived_cl33,zip_derived_cl17,zip_derived_cl210,zip_derived_cl33,zip_derived_cl17]) ).

thf(zip_derived_cl7850,plain,
    ( ( ( sum @ n11 @ n11 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl7319]) ).

thf(zip_derived_cl221_719,plain,
    ( ( sum @ n11 @ n11 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl258_720,plain,
    ( ( sum @ n14 @ n0 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl266_721,plain,
    ( ( sum @ n14 @ n8 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7851,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7850,zip_derived_cl221,zip_derived_cl258,zip_derived_cl266]) ).

thf('82',plain,
    ( ( sk_ != n15 )
    | ( sk__1 != n12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7851]) ).

thf(zip_derived_cl270_722,plain,
    ( ( sum @ n14 @ n12 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl442_723,plain,
    ( ( sk_ = n15 )
   <= ( sk_ = n15 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7071_724,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl4367]) ).

thf(zip_derived_cl7113,plain,
    ( ( ( sum @ ( sum @ ( pred @ n15 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n15 ) ) )
     != ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl7071]) ).

thf(zip_derived_cl33_725,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_726,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl194_727,plain,
    ( ( sum @ n10 @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl33_728,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_729,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7150,plain,
    ( ( ( sum @ ( sum @ n14 @ n12 ) @ n10 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7113,zip_derived_cl33,zip_derived_cl17,zip_derived_cl194,zip_derived_cl33,zip_derived_cl17]) ).

thf(zip_derived_cl7843,plain,
    ( ( ( sum @ n10 @ n10 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl270,zip_derived_cl7150]) ).

thf(zip_derived_cl204_730,plain,
    ( ( sum @ n10 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl258_731,plain,
    ( ( sum @ n14 @ n0 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl264_732,plain,
    ( ( sum @ n14 @ n6 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7847,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7843,zip_derived_cl204,zip_derived_cl258,zip_derived_cl264]) ).

thf('83',plain,
    ( ( sk_ != n15 )
    | ( sk__1 != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7847]) ).

thf(zip_derived_cl269,plain,
    ( ( sum @ n14 @ n11 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl442_733,plain,
    ( ( sk_ = n15 )
   <= ( sk_ = n15 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6916_734,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl4161]) ).

thf(zip_derived_cl6954,plain,
    ( ( ( sum @ ( sum @ ( pred @ n15 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n15 ) ) )
     != ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl6916]) ).

thf(zip_derived_cl33_735,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_736,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl178,plain,
    ( ( sum @ n9 @ n0 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl33_737,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_738,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6989,plain,
    ( ( ( sum @ ( sum @ n14 @ n11 ) @ n9 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6954,zip_derived_cl33,zip_derived_cl17,zip_derived_cl178,zip_derived_cl33,zip_derived_cl17]) ).

thf(zip_derived_cl7839,plain,
    ( ( ( sum @ n9 @ n9 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl6989]) ).

thf(zip_derived_cl187_739,plain,
    ( ( sum @ n9 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl258_740,plain,
    ( ( sum @ n14 @ n0 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl262_741,plain,
    ( ( sum @ n14 @ n4 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7840,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7839,zip_derived_cl187,zip_derived_cl258,zip_derived_cl262]) ).

thf('84',plain,
    ( ( sk_ != n15 )
    | ( sk__1 != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7840]) ).

thf(zip_derived_cl268_742,plain,
    ( ( sum @ n14 @ n10 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl442_743,plain,
    ( ( sk_ = n15 )
   <= ( sk_ = n15 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6783_744,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl3956]) ).

thf(zip_derived_cl6808,plain,
    ( ( ( sum @ ( sum @ ( pred @ n15 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n15 ) ) )
     != ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl6783]) ).

thf(zip_derived_cl33_745,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_746,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl162_747,plain,
    ( ( sum @ n8 @ n0 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl33_748,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_749,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6842,plain,
    ( ( ( sum @ ( sum @ n14 @ n10 ) @ n8 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6808,zip_derived_cl33,zip_derived_cl17,zip_derived_cl162,zip_derived_cl33,zip_derived_cl17]) ).

thf(zip_derived_cl7832,plain,
    ( ( ( sum @ n8 @ n8 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl6842]) ).

thf(zip_derived_cl170_750,plain,
    ( ( sum @ n8 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl258_751,plain,
    ( ( sum @ n14 @ n0 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl260_752,plain,
    ( ( sum @ n14 @ n2 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7836,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7832,zip_derived_cl170,zip_derived_cl258,zip_derived_cl260]) ).

thf('85',plain,
    ( ( sk_ != n15 )
    | ( sk__1 != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7836]) ).

thf(zip_derived_cl267,plain,
    ( ( sum @ n14 @ n9 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl442_753,plain,
    ( ( sk_ = n15 )
   <= ( sk_ = n15 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6649_754,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl3749]) ).

thf(zip_derived_cl6673,plain,
    ( ( ( sum @ ( sum @ ( pred @ n15 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n15 ) ) )
     != ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl6649]) ).

thf(zip_derived_cl33_755,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_756,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl146,plain,
    ( ( sum @ n7 @ n0 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl33_757,plain,
    ( ( pred @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_758,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6706,plain,
    ( ( ( sum @ ( sum @ n14 @ n9 ) @ n7 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6673,zip_derived_cl33,zip_derived_cl17,zip_derived_cl146,zip_derived_cl33,zip_derived_cl17]) ).

thf(zip_derived_cl7828,plain,
    ( ( ( sum @ n7 @ n7 )
     != ( sum @ ( sum @ n14 @ n0 ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl267,zip_derived_cl6706]) ).

thf(zip_derived_cl153_759,plain,
    ( ( sum @ n7 @ n7 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl258_760,plain,
    ( ( sum @ n14 @ n0 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl258_761,plain,
    ( ( sum @ n14 @ n0 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7829,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7828,zip_derived_cl153,zip_derived_cl258,zip_derived_cl258]) ).

thf('86',plain,
    ( ( sk_ != n15 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7829]) ).

thf(zip_derived_cl442_762,plain,
    ( ( sk_ = n15 )
   <= ( sk_ = n15 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl2005_763,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ ( pred @ n15 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n15 ) @ n0 ) ) )
   <= ( sk__1 = n15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl589,zip_derived_cl17,zip_derived_cl17]) ).

thf(zip_derived_cl2021,plain,
    ( ( ( sum @ ( sum @ ( pred @ n15 ) @ n0 ) @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) )
     != ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ ( sum @ ( pred @ n15 ) @ n0 ) ) )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl2005]) ).

thf(zip_derived_cl17_764,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_765,plain,
    ( ( succ @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2053,plain,
    ( ( ( sum @ ( sum @ ( pred @ n15 ) @ n0 ) @ ( sum @ ( pred @ n15 ) @ n0 ) )
     != ( sum @ ( sum @ ( pred @ n15 ) @ n0 ) @ ( sum @ ( pred @ n15 ) @ n0 ) ) )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2021,zip_derived_cl17,zip_derived_cl17]) ).

thf('87',plain,
    ( ( sk_ != n15 )
    | ( sk__1 != n15 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2053]) ).

thf(zip_derived_cl289_766,plain,
    ( ( sum @ n15 @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl433_767,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6783_768,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl3956]) ).

thf(zip_derived_cl6799,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl6783]) ).

thf(zip_derived_cl24_769,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl124,plain,
    ( ( sum @ n5 @ n10 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_770,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl169,plain,
    ( ( sum @ n8 @ n7 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_771,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_772,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl121_773,plain,
    ( ( sum @ n5 @ n7 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6831,plain,
    ( ( ( sum @ n15 @ n15 )
     != ( sum @ n12 @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6799,zip_derived_cl24,zip_derived_cl124,zip_derived_cl8,zip_derived_cl169,zip_derived_cl24,zip_derived_cl8,zip_derived_cl121]) ).

thf(zip_derived_cl8098,plain,
    ( ( n14
     != ( sum @ n12 @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl6831]) ).

thf(zip_derived_cl228_774,plain,
    ( ( sum @ n12 @ n2 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8114,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl8098,zip_derived_cl228]) ).

thf('88',plain,
    ( ( sk__1 != n9 )
    | ( sk_ != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8114]) ).

thf(zip_derived_cl284,plain,
    ( ( sum @ n15 @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl427_775,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6783_776,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl3956]) ).

thf(zip_derived_cl6793,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl6783]) ).

thf(zip_derived_cl18_777,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_778,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl163,plain,
    ( ( sum @ n8 @ n1 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_779,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_780,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6825,plain,
    ( ( ( sum @ ( sum @ n15 @ n10 ) @ n9 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6793,zip_derived_cl18,zip_derived_cl2,zip_derived_cl163,zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl8047,plain,
    ( ( ( sum @ n9 @ n9 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl6825]) ).

thf(zip_derived_cl187_781,plain,
    ( ( sum @ n9 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl275_782,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_783,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8048,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl8047,zip_derived_cl187,zip_derived_cl275,zip_derived_cl36]) ).

thf('89',plain,
    ( ( sk__1 != n9 )
    | ( sk_ != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8048]) ).

thf(zip_derived_cl272_784,plain,
    ( ( sum @ n14 @ n14 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl432_785,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6783_786,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl3956]) ).

thf(zip_derived_cl6798,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl6783]) ).

thf(zip_derived_cl23_787,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl108,plain,
    ( ( sum @ n4 @ n10 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_788,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl168_789,plain,
    ( ( sum @ n8 @ n6 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_790,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_791,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl104_792,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6830,plain,
    ( ( ( sum @ n14 @ n14 )
     != ( sum @ n10 @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6798,zip_derived_cl23,zip_derived_cl108,zip_derived_cl7,zip_derived_cl168,zip_derived_cl23,zip_derived_cl7,zip_derived_cl104]) ).

thf(zip_derived_cl7862,plain,
    ( ( n12
     != ( sum @ n10 @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl6830]) ).

thf(zip_derived_cl196_793,plain,
    ( ( sum @ n10 @ n2 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7876,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7862,zip_derived_cl196]) ).

thf('90',plain,
    ( ( sk__1 != n9 )
    | ( sk_ != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7876]) ).

thf(zip_derived_cl260_794,plain,
    ( ( sum @ n14 @ n2 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl434_795,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6783_796,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl3956]) ).

thf(zip_derived_cl6800,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl6783]) ).

thf(zip_derived_cl25_797,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl140,plain,
    ( ( sum @ n6 @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_798,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl170_799,plain,
    ( ( sum @ n8 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl34_800,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl25_801,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_802,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl138_803,plain,
    ( ( sum @ n6 @ n8 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6832,plain,
    ( ( n0
     != ( sum @ n14 @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6800,zip_derived_cl25,zip_derived_cl140,zip_derived_cl9,zip_derived_cl170,zip_derived_cl34,zip_derived_cl25,zip_derived_cl9,zip_derived_cl138]) ).

thf(zip_derived_cl7795,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl6832]) ).

thf('91',plain,
    ( ( sk__1 != n9 )
    | ( sk_ != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7795]) ).

thf(zip_derived_cl257_804,plain,
    ( ( sum @ n13 @ n15 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl441_805,plain,
    ( ( sk_ = n14 )
   <= ( sk_ = n14 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6783_806,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl3956]) ).

thf(zip_derived_cl6807,plain,
    ( ( ( sum @ ( sum @ ( pred @ n14 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n14 ) ) )
     != ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl6783]) ).

thf(zip_derived_cl32_807,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_808,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl32_809,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_810,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6841,plain,
    ( ( ( sum @ ( sum @ n13 @ n10 ) @ ( sum @ n8 @ n15 ) )
     != ( sum @ ( sum @ n13 @ n15 ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6807,zip_derived_cl32,zip_derived_cl16,zip_derived_cl32,zip_derived_cl16]) ).

thf(zip_derived_cl177,plain,
    ( ( sum @ n8 @ n15 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7037,plain,
    ( ( ( sum @ ( sum @ n13 @ n10 ) @ n7 )
     != ( sum @ ( sum @ n13 @ n15 ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6841,zip_derived_cl177]) ).

thf(zip_derived_cl7608,plain,
    ( ( ( sum @ ( sum @ n13 @ n10 ) @ n7 )
     != ( sum @ n12 @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl7037]) ).

thf(zip_derived_cl252,plain,
    ( ( sum @ n13 @ n10 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl153_811,plain,
    ( ( sum @ n7 @ n7 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl228_812,plain,
    ( ( sum @ n12 @ n2 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7628,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7608,zip_derived_cl252,zip_derived_cl153,zip_derived_cl228]) ).

thf('92',plain,
    ( ( sk__1 != n9 )
    | ( sk_ != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7628]) ).

thf(zip_derived_cl255_813,plain,
    ( ( sum @ n13 @ n13 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl431_814,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6783_815,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl3956]) ).

thf(zip_derived_cl6797,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl6783]) ).

thf(zip_derived_cl22_816,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl92_817,plain,
    ( ( sum @ n3 @ n10 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_818,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl167_819,plain,
    ( ( sum @ n8 @ n5 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_820,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_821,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl87_822,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl164_823,plain,
    ( ( sum @ n8 @ n2 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6829,plain,
    ( ( ( sum @ n13 @ n13 )
     != n10 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6797,zip_derived_cl22,zip_derived_cl92,zip_derived_cl6,zip_derived_cl167,zip_derived_cl22,zip_derived_cl6,zip_derived_cl87,zip_derived_cl164]) ).

thf(zip_derived_cl7579,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl6829]) ).

thf('93',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7579]) ).

thf(zip_derived_cl238_824,plain,
    ( ( sum @ n12 @ n12 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl430_825,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6783_826,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl3956]) ).

thf(zip_derived_cl6796,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl6783]) ).

thf(zip_derived_cl21_827,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl76,plain,
    ( ( sum @ n2 @ n10 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_828,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl166_829,plain,
    ( ( sum @ n8 @ n4 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_830,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_831,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl70_832,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl132_833,plain,
    ( ( sum @ n6 @ n2 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6828,plain,
    ( ( ( sum @ n12 @ n12 )
     != n8 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6796,zip_derived_cl21,zip_derived_cl76,zip_derived_cl5,zip_derived_cl166,zip_derived_cl21,zip_derived_cl5,zip_derived_cl70,zip_derived_cl132]) ).

thf(zip_derived_cl7401,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl6828]) ).

thf('94',plain,
    ( ( sk__1 != n9 )
    | ( sk_ != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7401]) ).

thf(zip_derived_cl221_834,plain,
    ( ( sum @ n11 @ n11 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl429_835,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6783_836,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl3956]) ).

thf(zip_derived_cl6795,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl6783]) ).

thf(zip_derived_cl20_837,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl60_838,plain,
    ( ( sum @ n1 @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_839,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl165_840,plain,
    ( ( sum @ n8 @ n3 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_841,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_842,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl53_843,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl100_844,plain,
    ( ( sum @ n4 @ n2 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6827,plain,
    ( ( ( sum @ n11 @ n11 )
     != n6 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6795,zip_derived_cl20,zip_derived_cl60,zip_derived_cl4,zip_derived_cl165,zip_derived_cl20,zip_derived_cl4,zip_derived_cl53,zip_derived_cl100]) ).

thf(zip_derived_cl7220,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl6827]) ).

thf('95',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7220]) ).

thf(zip_derived_cl206_845,plain,
    ( ( sum @ n10 @ n12 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl438_846,plain,
    ( ( sk_ = n11 )
   <= ( sk_ = n11 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6783_847,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl3956]) ).

thf(zip_derived_cl6804,plain,
    ( ( ( sum @ ( sum @ ( pred @ n11 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n11 ) ) )
     != ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl6783]) ).

thf(zip_derived_cl29_848,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_849,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl29_850,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_851,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6838,plain,
    ( ( ( sum @ ( sum @ n10 @ n10 ) @ ( sum @ n8 @ n12 ) )
     != ( sum @ ( sum @ n10 @ n12 ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6804,zip_derived_cl29,zip_derived_cl13,zip_derived_cl29,zip_derived_cl13]) ).

thf(zip_derived_cl174_852,plain,
    ( ( sum @ n8 @ n12 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7031,plain,
    ( ( ( sum @ ( sum @ n10 @ n10 ) @ n4 )
     != ( sum @ ( sum @ n10 @ n12 ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6838,zip_derived_cl174]) ).

thf(zip_derived_cl7080,plain,
    ( ( ( sum @ ( sum @ n10 @ n10 ) @ n4 )
     != ( sum @ n6 @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl7031]) ).

thf(zip_derived_cl204_853,plain,
    ( ( sum @ n10 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl102_854,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl132_855,plain,
    ( ( sum @ n6 @ n2 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7094,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7080,zip_derived_cl204,zip_derived_cl102,zip_derived_cl132]) ).

thf('96',plain,
    ( ( sk__1 != n9 )
    | ( sk_ != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7094]) ).

thf(zip_derived_cl204_856,plain,
    ( ( sum @ n10 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl428_857,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6783_858,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl3956]) ).

thf(zip_derived_cl6794,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl6783]) ).

thf(zip_derived_cl19_859,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl44_860,plain,
    ( ( sum @ n0 @ n10 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_861,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl164_862,plain,
    ( ( sum @ n8 @ n2 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_863,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_864,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_865,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl68_866,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6826,plain,
    ( ( ( sum @ n10 @ n10 )
     != n4 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6794,zip_derived_cl19,zip_derived_cl44,zip_derived_cl3,zip_derived_cl164,zip_derived_cl19,zip_derived_cl3,zip_derived_cl36,zip_derived_cl68]) ).

thf(zip_derived_cl7059,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl6826]) ).

thf('97',plain,
    ( ( sk__1 != n9 )
    | ( sk_ != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7059]) ).

thf(zip_derived_cl189_867,plain,
    ( ( sum @ n9 @ n11 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl437_868,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6783_869,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl3956]) ).

thf(zip_derived_cl6803,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl6783]) ).

thf(zip_derived_cl28_870,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_871,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl173,plain,
    ( ( sum @ n8 @ n11 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl28_872,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_873,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6837,plain,
    ( ( ( sum @ ( sum @ n9 @ n10 ) @ n3 )
     != ( sum @ ( sum @ n9 @ n11 ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6803,zip_derived_cl28,zip_derived_cl12,zip_derived_cl173,zip_derived_cl28,zip_derived_cl12]) ).

thf(zip_derived_cl6921,plain,
    ( ( ( sum @ ( sum @ n9 @ n10 ) @ n3 )
     != ( sum @ n4 @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl6837]) ).

thf(zip_derived_cl188,plain,
    ( ( sum @ n9 @ n10 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl85_874,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl100_875,plain,
    ( ( sum @ n4 @ n2 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6930,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6921,zip_derived_cl188,zip_derived_cl85,zip_derived_cl100]) ).

thf('98',plain,
    ( ( sk__1 != n9 )
    | ( sk_ != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6930]) ).

thf(zip_derived_cl435_876,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6783_877,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl3956]) ).

thf(zip_derived_cl6801,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n2 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl6783]) ).

thf(zip_derived_cl26_878,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl156,plain,
    ( ( sum @ n7 @ n10 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_879,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl171,plain,
    ( ( sum @ n8 @ n9 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl51_880,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_881,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_882,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl155_883,plain,
    ( ( sum @ n7 @ n9 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_884,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6833,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6801,zip_derived_cl26,zip_derived_cl156,zip_derived_cl10,zip_derived_cl171,zip_derived_cl51,zip_derived_cl26,zip_derived_cl10,zip_derived_cl155,zip_derived_cl36]) ).

thf('99',plain,
    ( ( sk__1 != n9 )
    | ( sk_ != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6833]) ).

thf(zip_derived_cl436_885,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl1615_886,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ ( pred @ n9 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n9 ) @ n10 ) ) )
   <= ( sk__1 = n9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl11,zip_derived_cl11]) ).

thf(zip_derived_cl1625,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n10 ) @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ ( sum @ ( pred @ n9 ) @ n10 ) ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl1615]) ).

thf(zip_derived_cl11_887,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_888,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1657,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n10 ) @ ( sum @ ( pred @ n9 ) @ n10 ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ n10 ) @ ( sum @ ( pred @ n9 ) @ n10 ) ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1625,zip_derived_cl11,zip_derived_cl11]) ).

thf('100',plain,
    ( ( sk__1 != n9 )
    | ( sk_ != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1657]) ).

thf(zip_derived_cl289_889,plain,
    ( ( sum @ n15 @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl430_890,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7234_891,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl4573]) ).

thf(zip_derived_cl7268,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl7234]) ).

thf(zip_derived_cl21_892,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl79_893,plain,
    ( ( sum @ n2 @ n13 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_894,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl214_895,plain,
    ( ( sum @ n11 @ n4 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_896,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_897,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl70_898,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl138_899,plain,
    ( ( sum @ n6 @ n8 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7300,plain,
    ( ( ( sum @ n15 @ n15 )
     != n14 )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7268,zip_derived_cl21,zip_derived_cl79,zip_derived_cl5,zip_derived_cl214,zip_derived_cl21,zip_derived_cl5,zip_derived_cl70,zip_derived_cl138]) ).

thf(zip_derived_cl8105,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl7300]) ).

thf('101',plain,
    ( ( sk_ != n3 )
    | ( sk__1 != n12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8105]) ).

thf(zip_derived_cl275_900,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl411_901,plain,
    ( ( sk__1 = n0 )
   <= ( sk__1 = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl21_902,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl430_903,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl0_904,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl629,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
   <= ( sk_ = n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl0]) ).

thf(zip_derived_cl5_905,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_906,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl634,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n4 ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ n4 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
   <= ( sk_ = n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl629,zip_derived_cl5,zip_derived_cl5]) ).

thf(zip_derived_cl2701,plain,
    ( ( ( sum @ ( sum @ n2 @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n4 ) )
     != ( sum @ ( sum @ n2 @ n4 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
   <= ( sk_ = n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl634]) ).

thf(zip_derived_cl2709,plain,
    ( ( ( sum @ ( sum @ n2 @ ( succ @ n0 ) ) @ ( sum @ ( pred @ n0 ) @ n4 ) )
     != ( sum @ ( sum @ n2 @ n4 ) @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl411,zip_derived_cl2701]) ).

thf(zip_derived_cl2_907,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_908,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_909,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_910,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2742,plain,
    ( ( ( sum @ ( sum @ n2 @ n1 ) @ ( sum @ n15 @ n4 ) )
     != ( sum @ ( sum @ n2 @ n4 ) @ ( sum @ n15 @ n1 ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2709,zip_derived_cl2,zip_derived_cl18,zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl67,plain,
    ( ( sum @ n2 @ n1 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl70_911,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7188,plain,
    ( ( ( sum @ n3 @ ( sum @ n15 @ n4 ) )
     != ( sum @ n6 @ ( sum @ n15 @ n1 ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2742,zip_derived_cl67,zip_derived_cl70]) ).

thf(zip_derived_cl7893,plain,
    ( ( ( sum @ n3 @ ( sum @ n15 @ n4 ) )
     != ( sum @ n6 @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl7188]) ).

thf(zip_derived_cl130_912,plain,
    ( ( sum @ n6 @ n0 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7898,plain,
    ( ( ( sum @ n3 @ ( sum @ n15 @ n4 ) )
     != n6 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7893,zip_derived_cl130]) ).

thf(zip_derived_cl278,plain,
    ( ( sum @ n15 @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl85_913,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8059,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7898,zip_derived_cl278,zip_derived_cl85]) ).

thf('102',plain,
    ( ( sk_ != n3 )
    | ( sk__1 != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8059]) ).

thf(zip_derived_cl430_914,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7726_915,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl5055]) ).

thf(zip_derived_cl7730,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n0 ) @ ( sum @ n14 @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n14 ) )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl7726]) ).

thf(zip_derived_cl21_916,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl66_917,plain,
    ( ( sum @ n2 @ n0 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_918,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_919,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_920,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl70_921,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl144_922,plain,
    ( ( sum @ n6 @ n14 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7762,plain,
    ( ( ( sum @ n2 @ ( sum @ n14 @ n4 ) )
     != n4 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7730,zip_derived_cl21,zip_derived_cl66,zip_derived_cl5,zip_derived_cl21,zip_derived_cl5,zip_derived_cl70,zip_derived_cl144]) ).

thf(zip_derived_cl262_923,plain,
    ( ( sum @ n14 @ n4 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl68_924,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7983,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7762,zip_derived_cl262,zip_derived_cl68]) ).

thf('103',plain,
    ( ( sk_ != n3 )
    | ( sk__1 != n15 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7983]) ).

thf(zip_derived_cl272_925,plain,
    ( ( sum @ n14 @ n14 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl430_926,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7071_927,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl4367]) ).

thf(zip_derived_cl7101,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl7071]) ).

thf(zip_derived_cl21_928,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl78,plain,
    ( ( sum @ n2 @ n12 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_929,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl198_930,plain,
    ( ( sum @ n10 @ n4 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_931,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_932,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl70_933,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl136_934,plain,
    ( ( sum @ n6 @ n6 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7133,plain,
    ( ( ( sum @ n14 @ n14 )
     != n12 )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7101,zip_derived_cl21,zip_derived_cl78,zip_derived_cl5,zip_derived_cl198,zip_derived_cl21,zip_derived_cl5,zip_derived_cl70,zip_derived_cl136]) ).

thf(zip_derived_cl7868,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl7133]) ).

thf('104',plain,
    ( ( sk_ != n3 )
    | ( sk__1 != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7868]) ).

thf(zip_derived_cl430_935,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7599_936,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl4920]) ).

thf(zip_derived_cl7641,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n12 ) )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl7599]) ).

thf(zip_derived_cl21_937,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl81,plain,
    ( ( sum @ n2 @ n15 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_938,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl246,plain,
    ( ( sum @ n13 @ n4 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl51_939,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_940,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_941,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl70_942,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl142,plain,
    ( ( sum @ n6 @ n12 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7674,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7641,zip_derived_cl21,zip_derived_cl81,zip_derived_cl5,zip_derived_cl246,zip_derived_cl51,zip_derived_cl21,zip_derived_cl5,zip_derived_cl70,zip_derived_cl142]) ).

thf('105',plain,
    ( ( sk_ != n3 )
    | ( sk__1 != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7674]) ).

thf(zip_derived_cl255_943,plain,
    ( ( sum @ n13 @ n13 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl430_944,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6916_945,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl4161]) ).

thf(zip_derived_cl6942,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl6916]) ).

thf(zip_derived_cl21_946,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl77,plain,
    ( ( sum @ n2 @ n11 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_947,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl182,plain,
    ( ( sum @ n9 @ n4 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_948,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_949,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl70_950,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl134_951,plain,
    ( ( sum @ n6 @ n4 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6974,plain,
    ( ( ( sum @ n13 @ n13 )
     != n10 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6942,zip_derived_cl21,zip_derived_cl77,zip_derived_cl5,zip_derived_cl182,zip_derived_cl21,zip_derived_cl5,zip_derived_cl70,zip_derived_cl134]) ).

thf(zip_derived_cl7581,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl6974]) ).

thf('106',plain,
    ( ( sk_ != n3 )
    | ( sk__1 != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7581]) ).

thf(zip_derived_cl430_952,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7417_953,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl4783]) ).

thf(zip_derived_cl7455,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl7417]) ).

thf(zip_derived_cl21_954,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl80_955,plain,
    ( ( sum @ n2 @ n14 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_956,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl230_957,plain,
    ( ( sum @ n12 @ n4 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl34_958,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_959,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_960,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl70_961,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl140_962,plain,
    ( ( sum @ n6 @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7487,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7455,zip_derived_cl21,zip_derived_cl80,zip_derived_cl5,zip_derived_cl230,zip_derived_cl34,zip_derived_cl21,zip_derived_cl5,zip_derived_cl70,zip_derived_cl140]) ).

thf('107',plain,
    ( ( sk_ != n3 )
    | ( sk__1 != n13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7487]) ).

thf(zip_derived_cl221_963,plain,
    ( ( sum @ n11 @ n11 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl430_964,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6649_965,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl3749]) ).

thf(zip_derived_cl6661,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl6649]) ).

thf(zip_derived_cl21_966,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl75,plain,
    ( ( sum @ n2 @ n9 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_967,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl150,plain,
    ( ( sum @ n7 @ n4 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_968,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_969,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl70_970,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl130_971,plain,
    ( ( sum @ n6 @ n0 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6693,plain,
    ( ( ( sum @ n11 @ n11 )
     != n6 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6661,zip_derived_cl21,zip_derived_cl75,zip_derived_cl5,zip_derived_cl150,zip_derived_cl21,zip_derived_cl5,zip_derived_cl70,zip_derived_cl130]) ).

thf(zip_derived_cl7217,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl6693]) ).

thf('108',plain,
    ( ( sk_ != n3 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7217]) ).

thf(zip_derived_cl204_972,plain,
    ( ( sum @ n10 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl430_973,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6522_974,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl3542]) ).

thf(zip_derived_cl6526,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl6522]) ).

thf(zip_derived_cl21_975,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl74_976,plain,
    ( ( sum @ n2 @ n8 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_977,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl134_978,plain,
    ( ( sum @ n6 @ n4 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_979,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_980,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl70_981,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6558,plain,
    ( ( ( sum @ n10 @ n10 )
     != ( sum @ n6 @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6526,zip_derived_cl21,zip_derived_cl74,zip_derived_cl5,zip_derived_cl134,zip_derived_cl21,zip_derived_cl5,zip_derived_cl70]) ).

thf(zip_derived_cl7055,plain,
    ( ( n4
     != ( sum @ n6 @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl6558]) ).

thf(zip_derived_cl144_982,plain,
    ( ( sum @ n6 @ n14 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7062,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7055,zip_derived_cl144]) ).

thf('109',plain,
    ( ( sk_ != n3 )
    | ( sk__1 != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7062]) ).

thf(zip_derived_cl187_983,plain,
    ( ( sum @ n9 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl430_984,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6412_985,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl3335]) ).

thf(zip_derived_cl6417,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl6412]) ).

thf(zip_derived_cl21_986,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl73,plain,
    ( ( sum @ n2 @ n7 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_987,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl118,plain,
    ( ( sum @ n5 @ n4 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_988,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_989,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl70_990,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6449,plain,
    ( ( ( sum @ n9 @ n9 )
     != ( sum @ n6 @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6417,zip_derived_cl21,zip_derived_cl73,zip_derived_cl5,zip_derived_cl118,zip_derived_cl21,zip_derived_cl5,zip_derived_cl70]) ).

thf(zip_derived_cl6901,plain,
    ( ( n2
     != ( sum @ n6 @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl6449]) ).

thf(zip_derived_cl142_991,plain,
    ( ( sum @ n6 @ n12 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6907,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6901,zip_derived_cl142]) ).

thf('110',plain,
    ( ( sk_ != n3 )
    | ( sk__1 != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6907]) ).

thf(zip_derived_cl170_992,plain,
    ( ( sum @ n8 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl430_993,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6272_994,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl3124]) ).

thf(zip_derived_cl6281,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl6272]) ).

thf(zip_derived_cl21_995,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl72,plain,
    ( ( sum @ n2 @ n6 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_996,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl102_997,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_998,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_999,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl70_1000,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6313,plain,
    ( ( ( sum @ n8 @ n8 )
     != ( sum @ n6 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6281,zip_derived_cl21,zip_derived_cl72,zip_derived_cl5,zip_derived_cl102,zip_derived_cl21,zip_derived_cl5,zip_derived_cl70]) ).

thf(zip_derived_cl6770,plain,
    ( ( n0
     != ( sum @ n6 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl6313]) ).

thf(zip_derived_cl140_1001,plain,
    ( ( sum @ n6 @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6773,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6770,zip_derived_cl140]) ).

thf('111',plain,
    ( ( sk_ != n3 )
    | ( sk__1 != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6773]) ).

thf(zip_derived_cl414_1002,plain,
    ( ( sk__1 = n3 )
   <= ( sk__1 = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl634_1003,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n4 ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ n4 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
   <= ( sk_ = n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl629,zip_derived_cl5,zip_derived_cl5]) ).

thf(zip_derived_cl955,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ ( sum @ ( pred @ n3 ) @ n4 ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ n4 ) @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl634]) ).

thf(zip_derived_cl5_1004,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_1005,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl991,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n4 ) @ ( sum @ ( pred @ n3 ) @ n4 ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ n4 ) @ ( sum @ ( pred @ n3 ) @ n4 ) ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl955,zip_derived_cl5,zip_derived_cl5]) ).

thf('112',plain,
    ( ( sk_ != n3 )
    | ( sk__1 != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl991]) ).

thf(zip_derived_cl289_1006,plain,
    ( ( sum @ n15 @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl429_1007,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7417_1008,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl4783]) ).

thf(zip_derived_cl7454,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl7417]) ).

thf(zip_derived_cl20_1009,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl64_1010,plain,
    ( ( sum @ n1 @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_1011,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl229_1012,plain,
    ( ( sum @ n12 @ n3 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_1013,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_1014,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl53_1015,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl108_1016,plain,
    ( ( sum @ n4 @ n10 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7486,plain,
    ( ( ( sum @ n15 @ n15 )
     != n14 )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7454,zip_derived_cl20,zip_derived_cl64,zip_derived_cl4,zip_derived_cl229,zip_derived_cl20,zip_derived_cl4,zip_derived_cl53,zip_derived_cl108]) ).

thf(zip_derived_cl8107,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl7486]) ).

thf('113',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8107]) ).

thf(zip_derived_cl288_1017,plain,
    ( ( sum @ n15 @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl427_1018,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7417_1019,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl4783]) ).

thf(zip_derived_cl7452,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl7417]) ).

thf(zip_derived_cl18_1020,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1021,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl227_1022,plain,
    ( ( sum @ n12 @ n1 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_1023,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1024,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7484,plain,
    ( ( ( sum @ ( sum @ n15 @ n14 ) @ n13 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7452,zip_derived_cl18,zip_derived_cl2,zip_derived_cl227,zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl8087,plain,
    ( ( ( sum @ n13 @ n13 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl7484]) ).

thf(zip_derived_cl255_1025,plain,
    ( ( sum @ n13 @ n13 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl275_1026,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl44_1027,plain,
    ( ( sum @ n0 @ n10 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8088,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl8087,zip_derived_cl255,zip_derived_cl275,zip_derived_cl44]) ).

thf('114',plain,
    ( ( sk__1 != n13 )
    | ( sk_ != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8088]) ).

thf(zip_derived_cl272_1028,plain,
    ( ( sum @ n14 @ n14 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl428_1029,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7417_1030,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl4783]) ).

thf(zip_derived_cl7453,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl7417]) ).

thf(zip_derived_cl19_1031,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl48_1032,plain,
    ( ( sum @ n0 @ n14 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1033,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl228_1034,plain,
    ( ( sum @ n12 @ n2 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_1035,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1036,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_1037,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl76_1038,plain,
    ( ( sum @ n2 @ n10 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7485,plain,
    ( ( ( sum @ n14 @ n14 )
     != n12 )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7453,zip_derived_cl19,zip_derived_cl48,zip_derived_cl3,zip_derived_cl228,zip_derived_cl19,zip_derived_cl3,zip_derived_cl36,zip_derived_cl76]) ).

thf(zip_derived_cl7872,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl7485]) ).

thf('115',plain,
    ( ( sk__1 != n13 )
    | ( sk_ != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7872]) ).

thf(zip_derived_cl268_1039,plain,
    ( ( sum @ n14 @ n10 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl434_1040,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7417_1041,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl4783]) ).

thf(zip_derived_cl7459,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl7417]) ).

thf(zip_derived_cl25_1042,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl144_1043,plain,
    ( ( sum @ n6 @ n14 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_1044,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl234_1045,plain,
    ( ( sum @ n12 @ n8 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl102_1046,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl25_1047,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_1048,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl138_1049,plain,
    ( ( sum @ n6 @ n8 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7495,plain,
    ( ( n8
     != ( sum @ n14 @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7459,zip_derived_cl25,zip_derived_cl144,zip_derived_cl9,zip_derived_cl234,zip_derived_cl102,zip_derived_cl25,zip_derived_cl9,zip_derived_cl138]) ).

thf(zip_derived_cl7833,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl7495]) ).

thf('116',plain,
    ( ( sk__1 != n13 )
    | ( sk_ != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7833]) ).

thf(zip_derived_cl257_1050,plain,
    ( ( sum @ n13 @ n15 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl441_1051,plain,
    ( ( sk_ = n14 )
   <= ( sk_ = n14 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7417_1052,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl4783]) ).

thf(zip_derived_cl7466,plain,
    ( ( ( sum @ ( sum @ ( pred @ n14 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n14 ) ) )
     != ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl7417]) ).

thf(zip_derived_cl32_1053,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_1054,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl241_1055,plain,
    ( ( sum @ n12 @ n15 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl32_1056,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_1057,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7508,plain,
    ( ( ( sum @ ( sum @ n13 @ n14 ) @ n11 )
     != ( sum @ ( sum @ n13 @ n15 ) @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7466,zip_derived_cl32,zip_derived_cl16,zip_derived_cl241,zip_derived_cl32,zip_derived_cl16]) ).

thf(zip_derived_cl7612,plain,
    ( ( ( sum @ ( sum @ n13 @ n14 ) @ n11 )
     != ( sum @ n12 @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl7508]) ).

thf(zip_derived_cl256_1058,plain,
    ( ( sum @ n13 @ n14 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl221_1059,plain,
    ( ( sum @ n11 @ n11 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl236_1060,plain,
    ( ( sum @ n12 @ n10 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7636,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7612,zip_derived_cl256,zip_derived_cl221,zip_derived_cl236]) ).

thf('117',plain,
    ( ( sk__1 != n13 )
    | ( sk_ != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7636]) ).

thf(zip_derived_cl438_1061,plain,
    ( ( sk_ = n11 )
   <= ( sk_ = n11 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7417_1062,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl4783]) ).

thf(zip_derived_cl7463,plain,
    ( ( ( sum @ ( sum @ ( pred @ n11 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n11 ) ) )
     != ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl7417]) ).

thf(zip_derived_cl29_1063,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl208_1064,plain,
    ( ( sum @ n10 @ n14 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_1065,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl238_1066,plain,
    ( ( sum @ n12 @ n12 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl170_1067,plain,
    ( ( sum @ n8 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl29_1068,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_1069,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl206_1070,plain,
    ( ( sum @ n10 @ n12 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl140_1071,plain,
    ( ( sum @ n6 @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7502,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7463,zip_derived_cl29,zip_derived_cl208,zip_derived_cl13,zip_derived_cl238,zip_derived_cl170,zip_derived_cl29,zip_derived_cl13,zip_derived_cl206,zip_derived_cl140]) ).

thf('118',plain,
    ( ( sk__1 != n13 )
    | ( sk_ != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7502]) ).

thf(zip_derived_cl437_1072,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7417_1073,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl4783]) ).

thf(zip_derived_cl7462,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl7417]) ).

thf(zip_derived_cl28_1074,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl192_1075,plain,
    ( ( sum @ n9 @ n14 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1076,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl237_1077,plain,
    ( ( sum @ n12 @ n11 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl153_1078,plain,
    ( ( sum @ n7 @ n7 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl28_1079,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1080,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl189_1081,plain,
    ( ( sum @ n9 @ n11 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl108_1082,plain,
    ( ( sum @ n4 @ n10 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7500,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7462,zip_derived_cl28,zip_derived_cl192,zip_derived_cl12,zip_derived_cl237,zip_derived_cl153,zip_derived_cl28,zip_derived_cl12,zip_derived_cl189,zip_derived_cl108]) ).

thf('119',plain,
    ( ( sk__1 != n13 )
    | ( sk_ != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7500]) ).

thf(zip_derived_cl436_1083,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7417_1084,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl4783]) ).

thf(zip_derived_cl7461,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl7417]) ).

thf(zip_derived_cl27_1085,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl176_1086,plain,
    ( ( sum @ n8 @ n14 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_1087,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl236_1088,plain,
    ( ( sum @ n12 @ n10 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl136_1089,plain,
    ( ( sum @ n6 @ n6 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl27_1090,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_1091,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl172_1092,plain,
    ( ( sum @ n8 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl76_1093,plain,
    ( ( sum @ n2 @ n10 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7498,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7461,zip_derived_cl27,zip_derived_cl176,zip_derived_cl11,zip_derived_cl236,zip_derived_cl136,zip_derived_cl27,zip_derived_cl11,zip_derived_cl172,zip_derived_cl76]) ).

thf('120',plain,
    ( ( sk__1 != n13 )
    | ( sk_ != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7498]) ).

thf(zip_derived_cl435_1094,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7417_1095,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl4783]) ).

thf(zip_derived_cl7460,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl7417]) ).

thf(zip_derived_cl26_1096,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl160_1097,plain,
    ( ( sum @ n7 @ n14 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_1098,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl235_1099,plain,
    ( ( sum @ n12 @ n9 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl119_1100,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_1101,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_1102,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl155_1103,plain,
    ( ( sum @ n7 @ n9 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl44_1104,plain,
    ( ( sum @ n0 @ n10 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7496,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7460,zip_derived_cl26,zip_derived_cl160,zip_derived_cl10,zip_derived_cl235,zip_derived_cl119,zip_derived_cl26,zip_derived_cl10,zip_derived_cl155,zip_derived_cl44]) ).

thf('121',plain,
    ( ( sk__1 != n13 )
    | ( sk_ != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7496]) ).

thf(zip_derived_cl433_1105,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7417_1106,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl4783]) ).

thf(zip_derived_cl7458,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl7417]) ).

thf(zip_derived_cl24_1107,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl128_1108,plain,
    ( ( sum @ n5 @ n14 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1109,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl233_1110,plain,
    ( ( sum @ n12 @ n7 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl85_1111,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_1112,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1113,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl121_1114,plain,
    ( ( sum @ n5 @ n7 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl236_1115,plain,
    ( ( sum @ n12 @ n10 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7493,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7458,zip_derived_cl24,zip_derived_cl128,zip_derived_cl8,zip_derived_cl233,zip_derived_cl85,zip_derived_cl24,zip_derived_cl8,zip_derived_cl121,zip_derived_cl236]) ).

thf('122',plain,
    ( ( sk__1 != n13 )
    | ( sk_ != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7493]) ).

thf(zip_derived_cl432_1116,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7417_1117,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl4783]) ).

thf(zip_derived_cl7457,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl7417]) ).

thf(zip_derived_cl23_1118,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl112_1119,plain,
    ( ( sum @ n4 @ n14 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1120,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl232_1121,plain,
    ( ( sum @ n12 @ n6 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl68_1122,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_1123,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1124,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl104_1125,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl204_1126,plain,
    ( ( sum @ n10 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7491,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7457,zip_derived_cl23,zip_derived_cl112,zip_derived_cl7,zip_derived_cl232,zip_derived_cl68,zip_derived_cl23,zip_derived_cl7,zip_derived_cl104,zip_derived_cl204]) ).

thf('123',plain,
    ( ( sk__1 != n13 )
    | ( sk_ != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7491]) ).

thf(zip_derived_cl431_1127,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7417_1128,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl4783]) ).

thf(zip_derived_cl7456,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n10 ) )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl7417]) ).

thf(zip_derived_cl22_1129,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl96_1130,plain,
    ( ( sum @ n3 @ n14 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_1131,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl231_1132,plain,
    ( ( sum @ n12 @ n5 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl51_1133,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_1134,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_1135,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl87_1136,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl172_1137,plain,
    ( ( sum @ n8 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7489,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n13 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7456,zip_derived_cl22,zip_derived_cl96,zip_derived_cl6,zip_derived_cl231,zip_derived_cl51,zip_derived_cl22,zip_derived_cl6,zip_derived_cl87,zip_derived_cl172]) ).

thf('124',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7489]) ).

thf(zip_derived_cl433_1138,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7890_1139,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl2073]) ).

thf(zip_derived_cl7909,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n1 ) @ ( sum @ n15 @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl7890]) ).

thf(zip_derived_cl24_1140,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl115,plain,
    ( ( sum @ n5 @ n1 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1141,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_1142,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1143,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl121_1144,plain,
    ( ( sum @ n5 @ n7 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl226_1145,plain,
    ( ( sum @ n12 @ n0 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7942,plain,
    ( ( ( sum @ n6 @ ( sum @ n15 @ n7 ) )
     != n12 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7909,zip_derived_cl24,zip_derived_cl115,zip_derived_cl8,zip_derived_cl24,zip_derived_cl8,zip_derived_cl121,zip_derived_cl226]) ).

thf(zip_derived_cl281,plain,
    ( ( sum @ n15 @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl136_1146,plain,
    ( ( sum @ n6 @ n6 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8081,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7942,zip_derived_cl281,zip_derived_cl136]) ).

thf('125',plain,
    ( ( sk_ != n6 )
    | ( sk__1 != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8081]) ).

thf(zip_derived_cl433_1147,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7726_1148,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl5055]) ).

thf(zip_derived_cl7733,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n0 ) @ ( sum @ n14 @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n14 ) )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl7726]) ).

thf(zip_derived_cl24_1149,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl114_1150,plain,
    ( ( sum @ n5 @ n0 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1151,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_1152,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1153,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl121_1154,plain,
    ( ( sum @ n5 @ n7 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl240_1155,plain,
    ( ( sum @ n12 @ n14 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7765,plain,
    ( ( ( sum @ n5 @ ( sum @ n14 @ n7 ) )
     != n10 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7733,zip_derived_cl24,zip_derived_cl114,zip_derived_cl8,zip_derived_cl24,zip_derived_cl8,zip_derived_cl121,zip_derived_cl240]) ).

thf(zip_derived_cl265_1156,plain,
    ( ( sum @ n14 @ n7 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl119_1157,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7992,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7765,zip_derived_cl265,zip_derived_cl119]) ).

thf('126',plain,
    ( ( sk_ != n6 )
    | ( sk__1 != n15 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7992]) ).

thf(zip_derived_cl272_1158,plain,
    ( ( sum @ n14 @ n14 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl433_1159,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6649_1160,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl3749]) ).

thf(zip_derived_cl6664,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl6649]) ).

thf(zip_derived_cl24_1161,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl123,plain,
    ( ( sum @ n5 @ n9 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1162,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl153_1163,plain,
    ( ( sum @ n7 @ n7 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_1164,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1165,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl121_1166,plain,
    ( ( sum @ n5 @ n7 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6696,plain,
    ( ( ( sum @ n14 @ n14 )
     != ( sum @ n12 @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6664,zip_derived_cl24,zip_derived_cl123,zip_derived_cl8,zip_derived_cl153,zip_derived_cl24,zip_derived_cl8,zip_derived_cl121]) ).

thf(zip_derived_cl7861,plain,
    ( ( n12
     != ( sum @ n12 @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl6696]) ).

thf(zip_derived_cl226_1167,plain,
    ( ( sum @ n12 @ n0 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7874,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7861,zip_derived_cl226]) ).

thf('127',plain,
    ( ( sk_ != n6 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7874]) ).

thf(zip_derived_cl433_1168,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7599_1169,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl4920]) ).

thf(zip_derived_cl7644,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n12 ) )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl7599]) ).

thf(zip_derived_cl24_1170,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl129,plain,
    ( ( sum @ n5 @ n15 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1171,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl249,plain,
    ( ( sum @ n13 @ n7 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl102_1172,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_1173,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1174,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl121_1175,plain,
    ( ( sum @ n5 @ n7 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl238_1176,plain,
    ( ( sum @ n12 @ n12 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7680,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7644,zip_derived_cl24,zip_derived_cl129,zip_derived_cl8,zip_derived_cl249,zip_derived_cl102,zip_derived_cl24,zip_derived_cl8,zip_derived_cl121,zip_derived_cl238]) ).

thf('128',plain,
    ( ( sk_ != n6 )
    | ( sk__1 != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7680]) ).

thf(zip_derived_cl255_1177,plain,
    ( ( sum @ n13 @ n13 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl433_1178,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6522_1179,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl3542]) ).

thf(zip_derived_cl6529,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl6522]) ).

thf(zip_derived_cl24_1180,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl122,plain,
    ( ( sum @ n5 @ n8 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1181,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl137,plain,
    ( ( sum @ n6 @ n7 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_1182,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1183,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl121_1184,plain,
    ( ( sum @ n5 @ n7 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6561,plain,
    ( ( ( sum @ n13 @ n13 )
     != ( sum @ n12 @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6529,zip_derived_cl24,zip_derived_cl122,zip_derived_cl8,zip_derived_cl137,zip_derived_cl24,zip_derived_cl8,zip_derived_cl121]) ).

thf(zip_derived_cl7575,plain,
    ( ( n10
     != ( sum @ n12 @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl6561]) ).

thf(zip_derived_cl240_1185,plain,
    ( ( sum @ n12 @ n14 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7586,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7575,zip_derived_cl240]) ).

thf('129',plain,
    ( ( sk_ != n6 )
    | ( sk__1 != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7586]) ).

thf(zip_derived_cl236_1186,plain,
    ( ( sum @ n12 @ n10 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl433_1187,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6272_1188,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl3124]) ).

thf(zip_derived_cl6284,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl6272]) ).

thf(zip_derived_cl24_1189,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1190,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl105,plain,
    ( ( sum @ n4 @ n7 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_1191,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1192,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6317,plain,
    ( ( ( sum @ ( sum @ n5 @ n6 ) @ n11 )
     != ( sum @ ( sum @ n5 @ n7 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6284,zip_derived_cl24,zip_derived_cl8,zip_derived_cl105,zip_derived_cl24,zip_derived_cl8]) ).

thf(zip_derived_cl120,plain,
    ( ( sum @ n5 @ n6 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl121_1193,plain,
    ( ( sum @ n5 @ n7 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6520,plain,
    ( ( ( sum @ n11 @ n11 )
     != ( sum @ n12 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6317,zip_derived_cl120,zip_derived_cl121]) ).

thf(zip_derived_cl7379,plain,
    ( ( ( sum @ n11 @ n11 )
     != n6 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl236,zip_derived_cl6520]) ).

thf(zip_derived_cl221_1194,plain,
    ( ( sum @ n11 @ n11 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7380,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7379,zip_derived_cl221]) ).

thf('130',plain,
    ( ( sk_ != n6 )
    | ( sk__1 != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7380]) ).

thf(zip_derived_cl234_1195,plain,
    ( ( sum @ n12 @ n8 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl433_1196,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7234_1197,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl4573]) ).

thf(zip_derived_cl7271,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl7234]) ).

thf(zip_derived_cl24_1198,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl127_1199,plain,
    ( ( sum @ n5 @ n13 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1200,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl217_1201,plain,
    ( ( sum @ n11 @ n7 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl68_1202,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_1203,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1204,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl121_1205,plain,
    ( ( sum @ n5 @ n7 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7305,plain,
    ( ( n4
     != ( sum @ n12 @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7271,zip_derived_cl24,zip_derived_cl127,zip_derived_cl8,zip_derived_cl217,zip_derived_cl68,zip_derived_cl24,zip_derived_cl8,zip_derived_cl121]) ).

thf(zip_derived_cl7363,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl234,zip_derived_cl7305]) ).

thf('131',plain,
    ( ( sk_ != n6 )
    | ( sk__1 != n12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7363]) ).

thf(zip_derived_cl232_1206,plain,
    ( ( sum @ n12 @ n6 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl433_1207,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7071_1208,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl4367]) ).

thf(zip_derived_cl7104,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl7071]) ).

thf(zip_derived_cl24_1209,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl126,plain,
    ( ( sum @ n5 @ n12 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1210,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl201,plain,
    ( ( sum @ n10 @ n7 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl51_1211,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_1212,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1213,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl121_1214,plain,
    ( ( sum @ n5 @ n7 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7137,plain,
    ( ( n2
     != ( sum @ n12 @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7104,zip_derived_cl24,zip_derived_cl126,zip_derived_cl8,zip_derived_cl201,zip_derived_cl51,zip_derived_cl24,zip_derived_cl8,zip_derived_cl121]) ).

thf(zip_derived_cl7352,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl7137]) ).

thf('132',plain,
    ( ( sk_ != n6 )
    | ( sk__1 != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7352]) ).

thf(zip_derived_cl232_1215,plain,
    ( ( sum @ n12 @ n6 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl433_1216,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5759_1217,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl2703]) ).

thf(zip_derived_cl5766,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl5759]) ).

thf(zip_derived_cl24_1218,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1219,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_1220,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1221,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5799,plain,
    ( ( ( sum @ ( sum @ n5 @ n4 ) @ ( sum @ n2 @ n7 ) )
     != ( sum @ ( sum @ n5 @ n7 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5766,zip_derived_cl24,zip_derived_cl8,zip_derived_cl24,zip_derived_cl8]) ).

thf(zip_derived_cl118_1222,plain,
    ( ( sum @ n5 @ n4 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl73_1223,plain,
    ( ( sum @ n2 @ n7 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl121_1224,plain,
    ( ( sum @ n5 @ n7 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6729,plain,
    ( ( ( sum @ n9 @ n9 )
     != ( sum @ n12 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5799,zip_derived_cl118,zip_derived_cl73,zip_derived_cl121]) ).

thf(zip_derived_cl7351,plain,
    ( ( ( sum @ n9 @ n9 )
     != n2 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl6729]) ).

thf(zip_derived_cl187_1225,plain,
    ( ( sum @ n9 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7353,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7351,zip_derived_cl187]) ).

thf('133',plain,
    ( ( sk_ != n6 )
    | ( sk__1 != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7353]) ).

thf(zip_derived_cl230_1226,plain,
    ( ( sum @ n12 @ n4 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl433_1227,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6916_1228,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl4161]) ).

thf(zip_derived_cl6945,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl6916]) ).

thf(zip_derived_cl24_1229,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl125,plain,
    ( ( sum @ n5 @ n11 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1230,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl185,plain,
    ( ( sum @ n9 @ n7 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl34_1231,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_1232,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1233,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl121_1234,plain,
    ( ( sum @ n5 @ n7 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6977,plain,
    ( ( n0
     != ( sum @ n12 @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6945,zip_derived_cl24,zip_derived_cl125,zip_derived_cl8,zip_derived_cl185,zip_derived_cl34,zip_derived_cl24,zip_derived_cl8,zip_derived_cl121]) ).

thf(zip_derived_cl7347,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl230,zip_derived_cl6977]) ).

thf('134',plain,
    ( ( sk_ != n6 )
    | ( sk__1 != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7347]) ).

thf(zip_derived_cl433_1235,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl1369_1236,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ ( pred @ n6 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n6 ) @ n7 ) ) )
   <= ( sk__1 = n6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl471,zip_derived_cl8,zip_derived_cl8]) ).

thf(zip_derived_cl1376,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n7 ) @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ ( sum @ ( pred @ n6 ) @ n7 ) ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl1369]) ).

thf(zip_derived_cl8_1237,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_1238,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1408,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n7 ) @ ( sum @ ( pred @ n6 ) @ n7 ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ n7 ) @ ( sum @ ( pred @ n6 ) @ n7 ) ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1376,zip_derived_cl8,zip_derived_cl8]) ).

thf('135',plain,
    ( ( sk_ != n6 )
    | ( sk__1 != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1408]) ).

thf(zip_derived_cl289_1239,plain,
    ( ( sum @ n15 @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl432_1240,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6916_1241,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl4161]) ).

thf(zip_derived_cl6944,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl6916]) ).

thf(zip_derived_cl23_1242,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl109,plain,
    ( ( sum @ n4 @ n11 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1243,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl184,plain,
    ( ( sum @ n9 @ n6 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_1244,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1245,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl104_1246,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6976,plain,
    ( ( ( sum @ n15 @ n15 )
     != ( sum @ n10 @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6944,zip_derived_cl23,zip_derived_cl109,zip_derived_cl7,zip_derived_cl184,zip_derived_cl23,zip_derived_cl7,zip_derived_cl104]) ).

thf(zip_derived_cl8101,plain,
    ( ( n14
     != ( sum @ n10 @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl6976]) ).

thf(zip_derived_cl198_1247,plain,
    ( ( sum @ n10 @ n4 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8118,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl8101,zip_derived_cl198]) ).

thf('136',plain,
    ( ( sk__1 != n10 )
    | ( sk_ != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8118]) ).

thf(zip_derived_cl285,plain,
    ( ( sum @ n15 @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl427_1248,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6916_1249,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl4161]) ).

thf(zip_derived_cl6939,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl6916]) ).

thf(zip_derived_cl18_1250,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1251,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl179,plain,
    ( ( sum @ n9 @ n1 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_1252,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1253,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6971,plain,
    ( ( ( sum @ ( sum @ n15 @ n11 ) @ n10 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6939,zip_derived_cl18,zip_derived_cl2,zip_derived_cl179,zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl8056,plain,
    ( ( ( sum @ n10 @ n10 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl6971]) ).

thf(zip_derived_cl204_1254,plain,
    ( ( sum @ n10 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl275_1255,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl38_1256,plain,
    ( ( sum @ n0 @ n4 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8057,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl8056,zip_derived_cl204,zip_derived_cl275,zip_derived_cl38]) ).

thf('137',plain,
    ( ( sk__1 != n10 )
    | ( sk_ != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8057]) ).

thf(zip_derived_cl272_1257,plain,
    ( ( sum @ n14 @ n14 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl431_1258,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6916_1259,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl4161]) ).

thf(zip_derived_cl6943,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl6916]) ).

thf(zip_derived_cl22_1260,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl93_1261,plain,
    ( ( sum @ n3 @ n11 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_1262,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl183_1263,plain,
    ( ( sum @ n9 @ n5 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_1264,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_1265,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl87_1266,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl166_1267,plain,
    ( ( sum @ n8 @ n4 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6975,plain,
    ( ( ( sum @ n14 @ n14 )
     != n12 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6943,zip_derived_cl22,zip_derived_cl93,zip_derived_cl6,zip_derived_cl183,zip_derived_cl22,zip_derived_cl6,zip_derived_cl87,zip_derived_cl166]) ).

thf(zip_derived_cl7866,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl6975]) ).

thf('138',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7866]) ).

thf(zip_derived_cl262_1268,plain,
    ( ( sum @ n14 @ n4 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl434_1269,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6916_1270,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl4161]) ).

thf(zip_derived_cl6946,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl6916]) ).

thf(zip_derived_cl25_1271,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl141,plain,
    ( ( sum @ n6 @ n11 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_1272,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl186,plain,
    ( ( sum @ n9 @ n8 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl51_1273,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl25_1274,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_1275,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl138_1276,plain,
    ( ( sum @ n6 @ n8 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6978,plain,
    ( ( n2
     != ( sum @ n14 @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6946,zip_derived_cl25,zip_derived_cl141,zip_derived_cl9,zip_derived_cl186,zip_derived_cl51,zip_derived_cl25,zip_derived_cl9,zip_derived_cl138]) ).

thf(zip_derived_cl7805,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl6978]) ).

thf('139',plain,
    ( ( sk__1 != n10 )
    | ( sk_ != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7805]) ).

thf(zip_derived_cl257_1277,plain,
    ( ( sum @ n13 @ n15 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl441_1278,plain,
    ( ( sk_ = n14 )
   <= ( sk_ = n14 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6916_1279,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl4161]) ).

thf(zip_derived_cl6953,plain,
    ( ( ( sum @ ( sum @ ( pred @ n14 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n14 ) ) )
     != ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl6916]) ).

thf(zip_derived_cl32_1280,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_1281,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl32_1282,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_1283,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6988,plain,
    ( ( ( sum @ ( sum @ n13 @ n11 ) @ ( sum @ n9 @ n15 ) )
     != ( sum @ ( sum @ n13 @ n15 ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6953,zip_derived_cl32,zip_derived_cl16,zip_derived_cl32,zip_derived_cl16]) ).

thf(zip_derived_cl193,plain,
    ( ( sum @ n9 @ n15 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7048,plain,
    ( ( ( sum @ ( sum @ n13 @ n11 ) @ n8 )
     != ( sum @ ( sum @ n13 @ n15 ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6988,zip_derived_cl193]) ).

thf(zip_derived_cl7609,plain,
    ( ( ( sum @ ( sum @ n13 @ n11 ) @ n8 )
     != ( sum @ n12 @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl7048]) ).

thf(zip_derived_cl253,plain,
    ( ( sum @ n13 @ n11 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl170_1284,plain,
    ( ( sum @ n8 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl230_1285,plain,
    ( ( sum @ n12 @ n4 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7630,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7609,zip_derived_cl253,zip_derived_cl170,zip_derived_cl230]) ).

thf('140',plain,
    ( ( sk__1 != n10 )
    | ( sk_ != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7630]) ).

thf(zip_derived_cl238_1286,plain,
    ( ( sum @ n12 @ n12 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl429_1287,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6916_1288,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl4161]) ).

thf(zip_derived_cl6941,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl6916]) ).

thf(zip_derived_cl20_1289,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl61_1290,plain,
    ( ( sum @ n1 @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_1291,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl181_1292,plain,
    ( ( sum @ n9 @ n3 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_1293,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_1294,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl53_1295,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl102_1296,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6973,plain,
    ( ( ( sum @ n12 @ n12 )
     != n8 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6941,zip_derived_cl20,zip_derived_cl61,zip_derived_cl4,zip_derived_cl181,zip_derived_cl20,zip_derived_cl4,zip_derived_cl53,zip_derived_cl102]) ).

thf(zip_derived_cl7403,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl6973]) ).

thf('141',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7403]) ).

thf(zip_derived_cl221_1297,plain,
    ( ( sum @ n11 @ n11 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl428_1298,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6916_1299,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl4161]) ).

thf(zip_derived_cl6940,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl6916]) ).

thf(zip_derived_cl19_1300,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl45_1301,plain,
    ( ( sum @ n0 @ n11 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1302,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl180_1303,plain,
    ( ( sum @ n9 @ n2 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_1304,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1305,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_1306,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl70_1307,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6972,plain,
    ( ( ( sum @ n11 @ n11 )
     != n6 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6940,zip_derived_cl19,zip_derived_cl45,zip_derived_cl3,zip_derived_cl180,zip_derived_cl19,zip_derived_cl3,zip_derived_cl36,zip_derived_cl70]) ).

thf(zip_derived_cl7222,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl6972]) ).

thf('142',plain,
    ( ( sk__1 != n10 )
    | ( sk_ != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7222]) ).

thf(zip_derived_cl206_1308,plain,
    ( ( sum @ n10 @ n12 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl438_1309,plain,
    ( ( sk_ = n11 )
   <= ( sk_ = n11 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6916_1310,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl4161]) ).

thf(zip_derived_cl6950,plain,
    ( ( ( sum @ ( sum @ ( pred @ n11 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n11 ) ) )
     != ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl6916]) ).

thf(zip_derived_cl29_1311,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_1312,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl29_1313,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_1314,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6985,plain,
    ( ( ( sum @ ( sum @ n10 @ n11 ) @ ( sum @ n9 @ n12 ) )
     != ( sum @ ( sum @ n10 @ n12 ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6950,zip_derived_cl29,zip_derived_cl13,zip_derived_cl29,zip_derived_cl13]) ).

thf(zip_derived_cl190,plain,
    ( ( sum @ n9 @ n12 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7042,plain,
    ( ( ( sum @ ( sum @ n10 @ n11 ) @ n5 )
     != ( sum @ ( sum @ n10 @ n12 ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6985,zip_derived_cl190]) ).

thf(zip_derived_cl7081,plain,
    ( ( ( sum @ ( sum @ n10 @ n11 ) @ n5 )
     != ( sum @ n6 @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl7042]) ).

thf(zip_derived_cl205,plain,
    ( ( sum @ n10 @ n11 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl119_1315,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl134_1316,plain,
    ( ( sum @ n6 @ n4 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7096,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7081,zip_derived_cl205,zip_derived_cl119,zip_derived_cl134]) ).

thf('143',plain,
    ( ( sk__1 != n10 )
    | ( sk_ != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7096]) ).

thf(zip_derived_cl436_1317,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6916_1318,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl4161]) ).

thf(zip_derived_cl6948,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl6916]) ).

thf(zip_derived_cl27_1319,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl173_1320,plain,
    ( ( sum @ n8 @ n11 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_1321,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl188_1322,plain,
    ( ( sum @ n9 @ n10 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl85_1323,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl27_1324,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_1325,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl172_1326,plain,
    ( ( sum @ n8 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl70_1327,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6981,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6948,zip_derived_cl27,zip_derived_cl173,zip_derived_cl11,zip_derived_cl188,zip_derived_cl85,zip_derived_cl27,zip_derived_cl11,zip_derived_cl172,zip_derived_cl70]) ).

thf('144',plain,
    ( ( sk__1 != n10 )
    | ( sk_ != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6981]) ).

thf(zip_derived_cl435_1328,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6916_1329,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl4161]) ).

thf(zip_derived_cl6947,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n4 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl6916]) ).

thf(zip_derived_cl26_1330,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl157,plain,
    ( ( sum @ n7 @ n11 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_1331,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl187_1332,plain,
    ( ( sum @ n9 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl68_1333,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_1334,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_1335,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl155_1336,plain,
    ( ( sum @ n7 @ n9 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl38_1337,plain,
    ( ( sum @ n0 @ n4 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6979,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6947,zip_derived_cl26,zip_derived_cl157,zip_derived_cl10,zip_derived_cl187,zip_derived_cl68,zip_derived_cl26,zip_derived_cl10,zip_derived_cl155,zip_derived_cl38]) ).

thf('145',plain,
    ( ( sk__1 != n10 )
    | ( sk_ != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6979]) ).

thf(zip_derived_cl437_1338,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl1677_1339,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ ( pred @ n10 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n10 ) @ n11 ) ) )
   <= ( sk__1 = n10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl512,zip_derived_cl12,zip_derived_cl12]) ).

thf(zip_derived_cl1688,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n11 ) @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ ( sum @ ( pred @ n10 ) @ n11 ) ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl1677]) ).

thf(zip_derived_cl12_1340,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1341,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1720,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n11 ) @ ( sum @ ( pred @ n10 ) @ n11 ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ n11 ) @ ( sum @ ( pred @ n10 ) @ n11 ) ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1688,zip_derived_cl12,zip_derived_cl12]) ).

thf('146',plain,
    ( ( sk__1 != n10 )
    | ( sk_ != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1720]) ).

thf(zip_derived_cl275_1342,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl411_1343,plain,
    ( ( sk__1 = n0 )
   <= ( sk__1 = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl23_1344,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl432_1345,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl0_1346,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl644,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
   <= ( sk_ = n5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl0]) ).

thf(zip_derived_cl7_1347,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1348,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2412,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n6 ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ n6 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
   <= ( sk_ = n5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl644,zip_derived_cl7,zip_derived_cl7]) ).

thf(zip_derived_cl3126,plain,
    ( ( ( sum @ ( sum @ n4 @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n6 ) )
     != ( sum @ ( sum @ n4 @ n6 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
   <= ( sk_ = n5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl2412]) ).

thf(zip_derived_cl3197,plain,
    ( ( ( sum @ ( sum @ n4 @ ( succ @ n0 ) ) @ ( sum @ ( pred @ n0 ) @ n6 ) )
     != ( sum @ ( sum @ n4 @ n6 ) @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl411,zip_derived_cl3126]) ).

thf(zip_derived_cl2_1349,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_1350,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_1351,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1352,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3230,plain,
    ( ( ( sum @ ( sum @ n4 @ n1 ) @ ( sum @ n15 @ n6 ) )
     != ( sum @ ( sum @ n4 @ n6 ) @ ( sum @ n15 @ n1 ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3197,zip_derived_cl2,zip_derived_cl18,zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl99,plain,
    ( ( sum @ n4 @ n1 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl104_1353,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7545,plain,
    ( ( ( sum @ n5 @ ( sum @ n15 @ n6 ) )
     != ( sum @ n10 @ ( sum @ n15 @ n1 ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3230,zip_derived_cl99,zip_derived_cl104]) ).

thf(zip_derived_cl7895,plain,
    ( ( ( sum @ n5 @ ( sum @ n15 @ n6 ) )
     != ( sum @ n10 @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl7545]) ).

thf(zip_derived_cl194_1354,plain,
    ( ( sum @ n10 @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7900,plain,
    ( ( ( sum @ n5 @ ( sum @ n15 @ n6 ) )
     != n10 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7895,zip_derived_cl194]) ).

thf(zip_derived_cl280,plain,
    ( ( sum @ n15 @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl119_1355,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8063,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7900,zip_derived_cl280,zip_derived_cl119]) ).

thf('147',plain,
    ( ( sk_ != n5 )
    | ( sk__1 != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8063]) ).

thf(zip_derived_cl432_1356,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7726_1357,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl5055]) ).

thf(zip_derived_cl7732,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n0 ) @ ( sum @ n14 @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n14 ) )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl7726]) ).

thf(zip_derived_cl23_1358,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl98_1359,plain,
    ( ( sum @ n4 @ n0 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1360,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_1361,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1362,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl104_1363,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl208_1364,plain,
    ( ( sum @ n10 @ n14 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7764,plain,
    ( ( ( sum @ n4 @ ( sum @ n14 @ n6 ) )
     != n8 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7732,zip_derived_cl23,zip_derived_cl98,zip_derived_cl7,zip_derived_cl23,zip_derived_cl7,zip_derived_cl104,zip_derived_cl208]) ).

thf(zip_derived_cl264_1365,plain,
    ( ( sum @ n14 @ n6 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl102_1366,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7990,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7764,zip_derived_cl264,zip_derived_cl102]) ).

thf('148',plain,
    ( ( sk_ != n5 )
    | ( sk__1 != n15 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7990]) ).

thf(zip_derived_cl432_1367,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7599_1368,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl4920]) ).

thf(zip_derived_cl7643,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n12 ) )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl7599]) ).

thf(zip_derived_cl23_1369,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl113,plain,
    ( ( sum @ n4 @ n15 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1370,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl248,plain,
    ( ( sum @ n13 @ n6 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl85_1371,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_1372,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1373,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl104_1374,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl206_1375,plain,
    ( ( sum @ n10 @ n12 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7678,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7643,zip_derived_cl23,zip_derived_cl113,zip_derived_cl7,zip_derived_cl248,zip_derived_cl85,zip_derived_cl23,zip_derived_cl7,zip_derived_cl104,zip_derived_cl206]) ).

thf('149',plain,
    ( ( sk_ != n5 )
    | ( sk__1 != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7678]) ).

thf(zip_derived_cl255_1376,plain,
    ( ( sum @ n13 @ n13 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl432_1377,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6649_1378,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl3749]) ).

thf(zip_derived_cl6663,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl6649]) ).

thf(zip_derived_cl23_1379,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl107,plain,
    ( ( sum @ n4 @ n9 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1380,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl152,plain,
    ( ( sum @ n7 @ n6 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_1381,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1382,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl104_1383,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6695,plain,
    ( ( ( sum @ n13 @ n13 )
     != ( sum @ n10 @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6663,zip_derived_cl23,zip_derived_cl107,zip_derived_cl7,zip_derived_cl152,zip_derived_cl23,zip_derived_cl7,zip_derived_cl104]) ).

thf(zip_derived_cl7576,plain,
    ( ( n10
     != ( sum @ n10 @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl6695]) ).

thf(zip_derived_cl194_1384,plain,
    ( ( sum @ n10 @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7588,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7576,zip_derived_cl194]) ).

thf('150',plain,
    ( ( sk_ != n5 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7588]) ).

thf(zip_derived_cl238_1385,plain,
    ( ( sum @ n12 @ n12 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl432_1386,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6522_1387,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl3542]) ).

thf(zip_derived_cl6528,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl6522]) ).

thf(zip_derived_cl23_1388,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl106_1389,plain,
    ( ( sum @ n4 @ n8 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1390,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl136_1391,plain,
    ( ( sum @ n6 @ n6 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_1392,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1393,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl104_1394,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6560,plain,
    ( ( ( sum @ n12 @ n12 )
     != ( sum @ n10 @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6528,zip_derived_cl23,zip_derived_cl106,zip_derived_cl7,zip_derived_cl136,zip_derived_cl23,zip_derived_cl7,zip_derived_cl104]) ).

thf(zip_derived_cl7397,plain,
    ( ( n8
     != ( sum @ n10 @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl6560]) ).

thf(zip_derived_cl208_1395,plain,
    ( ( sum @ n10 @ n14 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7406,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7397,zip_derived_cl208]) ).

thf('151',plain,
    ( ( sk_ != n5 )
    | ( sk__1 != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7406]) ).

thf(zip_derived_cl432_1396,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7234_1397,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl4573]) ).

thf(zip_derived_cl7270,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl7234]) ).

thf(zip_derived_cl23_1398,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl111_1399,plain,
    ( ( sum @ n4 @ n13 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1400,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl216_1401,plain,
    ( ( sum @ n11 @ n6 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl51_1402,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_1403,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1404,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl104_1405,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl202_1406,plain,
    ( ( sum @ n10 @ n8 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7303,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7270,zip_derived_cl23,zip_derived_cl111,zip_derived_cl7,zip_derived_cl216,zip_derived_cl51,zip_derived_cl23,zip_derived_cl7,zip_derived_cl104,zip_derived_cl202]) ).

thf('152',plain,
    ( ( sk_ != n5 )
    | ( sk__1 != n12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7303]) ).

thf(zip_derived_cl221_1407,plain,
    ( ( sum @ n11 @ n11 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl432_1408,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6412_1409,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl3335]) ).

thf(zip_derived_cl6419,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl6412]) ).

thf(zip_derived_cl23_1410,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl105_1411,plain,
    ( ( sum @ n4 @ n7 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1412,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl120_1413,plain,
    ( ( sum @ n5 @ n6 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_1414,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1415,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl104_1416,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6451,plain,
    ( ( ( sum @ n11 @ n11 )
     != ( sum @ n10 @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6419,zip_derived_cl23,zip_derived_cl105,zip_derived_cl7,zip_derived_cl120,zip_derived_cl23,zip_derived_cl7,zip_derived_cl104]) ).

thf(zip_derived_cl7215,plain,
    ( ( n6
     != ( sum @ n10 @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl6451]) ).

thf(zip_derived_cl206_1417,plain,
    ( ( sum @ n10 @ n12 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7223,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7215,zip_derived_cl206]) ).

thf('153',plain,
    ( ( sk_ != n5 )
    | ( sk__1 != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7223]) ).

thf(zip_derived_cl432_1418,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7071_1419,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl4367]) ).

thf(zip_derived_cl7103,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl7071]) ).

thf(zip_derived_cl23_1420,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl110,plain,
    ( ( sum @ n4 @ n12 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1421,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl200_1422,plain,
    ( ( sum @ n10 @ n6 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl34_1423,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_1424,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1425,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl104_1426,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl200_1427,plain,
    ( ( sum @ n10 @ n6 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7135,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7103,zip_derived_cl23,zip_derived_cl110,zip_derived_cl7,zip_derived_cl200,zip_derived_cl34,zip_derived_cl23,zip_derived_cl7,zip_derived_cl104,zip_derived_cl200]) ).

thf('154',plain,
    ( ( sk_ != n5 )
    | ( sk__1 != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7135]) ).

thf(zip_derived_cl200_1428,plain,
    ( ( sum @ n10 @ n6 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl432_1429,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5759_1430,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl2703]) ).

thf(zip_derived_cl5765,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl5759]) ).

thf(zip_derived_cl23_1431,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1432,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_1433,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1434,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5798,plain,
    ( ( ( sum @ ( sum @ n4 @ n4 ) @ ( sum @ n2 @ n6 ) )
     != ( sum @ ( sum @ n4 @ n6 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5765,zip_derived_cl23,zip_derived_cl7,zip_derived_cl23,zip_derived_cl7]) ).

thf(zip_derived_cl102_1435,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl72_1436,plain,
    ( ( sum @ n2 @ n6 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl104_1437,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6728,plain,
    ( ( ( sum @ n8 @ n8 )
     != ( sum @ n10 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5798,zip_derived_cl102,zip_derived_cl72,zip_derived_cl104]) ).

thf(zip_derived_cl7032,plain,
    ( ( ( sum @ n8 @ n8 )
     != n0 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl6728]) ).

thf(zip_derived_cl170_1438,plain,
    ( ( sum @ n8 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7033,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7032,zip_derived_cl170]) ).

thf('155',plain,
    ( ( sk_ != n5 )
    | ( sk__1 != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7033]) ).

thf(zip_derived_cl432_1439,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl1308_1440,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ ( pred @ n5 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n5 ) @ n6 ) ) )
   <= ( sk__1 = n5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl464,zip_derived_cl7,zip_derived_cl7]) ).

thf(zip_derived_cl1314,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n6 ) @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ ( sum @ ( pred @ n5 ) @ n6 ) ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl1308]) ).

thf(zip_derived_cl7_1441,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_1442,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1346,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n6 ) @ ( sum @ ( pred @ n5 ) @ n6 ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ n6 ) @ ( sum @ ( pred @ n5 ) @ n6 ) ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1314,zip_derived_cl7,zip_derived_cl7]) ).

thf('156',plain,
    ( ( sk_ != n5 )
    | ( sk__1 != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1346]) ).

thf(zip_derived_cl427_1443,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7726_1444,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl5055]) ).

thf(zip_derived_cl7727,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n0 ) @ ( sum @ n14 @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n14 ) )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl7726]) ).

thf(zip_derived_cl18_1445,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1446,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl259_1447,plain,
    ( ( sum @ n14 @ n1 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_1448,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1449,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7759,plain,
    ( ( ( sum @ ( sum @ n15 @ n0 ) @ n15 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n14 ) )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7727,zip_derived_cl18,zip_derived_cl2,zip_derived_cl259,zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl274_1450,plain,
    ( ( sum @ n15 @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl289_1451,plain,
    ( ( sum @ n15 @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl275_1452,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl48_1453,plain,
    ( ( sum @ n0 @ n14 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8191,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7759,zip_derived_cl274,zip_derived_cl289,zip_derived_cl275,zip_derived_cl48]) ).

thf('157',plain,
    ( ( sk__1 != n15 )
    | ( sk_ != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8191]) ).

thf(zip_derived_cl434_1454,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7726_1455,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl5055]) ).

thf(zip_derived_cl7734,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n0 ) @ ( sum @ n14 @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n14 ) )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl7726]) ).

thf(zip_derived_cl25_1456,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl130_1457,plain,
    ( ( sum @ n6 @ n0 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_1458,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl25_1459,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_1460,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl138_1461,plain,
    ( ( sum @ n6 @ n8 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7766,plain,
    ( ( ( sum @ n6 @ ( sum @ n14 @ n8 ) )
     != ( sum @ n14 @ n14 ) )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7734,zip_derived_cl25,zip_derived_cl130,zip_derived_cl9,zip_derived_cl25,zip_derived_cl9,zip_derived_cl138]) ).

thf(zip_derived_cl266_1462,plain,
    ( ( sum @ n14 @ n8 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl136_1463,plain,
    ( ( sum @ n6 @ n6 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl272_1464,plain,
    ( ( sum @ n14 @ n14 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8179,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7766,zip_derived_cl266,zip_derived_cl136,zip_derived_cl272]) ).

thf('158',plain,
    ( ( sk__1 != n15 )
    | ( sk_ != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8179]) ).

thf(zip_derived_cl441_1465,plain,
    ( ( sk_ = n14 )
   <= ( sk_ = n14 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7726_1466,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl5055]) ).

thf(zip_derived_cl7741,plain,
    ( ( ( sum @ ( sum @ ( pred @ n14 ) @ n0 ) @ ( sum @ n14 @ ( succ @ n14 ) ) )
     != ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n14 ) )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl7726]) ).

thf(zip_derived_cl32_1467,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl242_1468,plain,
    ( ( sum @ n13 @ n0 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_1469,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl32_1470,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_1471,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl257_1472,plain,
    ( ( sum @ n13 @ n15 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl240_1473,plain,
    ( ( sum @ n12 @ n14 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7773,plain,
    ( ( ( sum @ n13 @ ( sum @ n14 @ n15 ) )
     != n10 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7741,zip_derived_cl32,zip_derived_cl242,zip_derived_cl16,zip_derived_cl32,zip_derived_cl16,zip_derived_cl257,zip_derived_cl240]) ).

thf(zip_derived_cl273_1474,plain,
    ( ( sum @ n14 @ n15 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl255_1475,plain,
    ( ( sum @ n13 @ n13 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8012,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7773,zip_derived_cl273,zip_derived_cl255]) ).

thf('159',plain,
    ( ( sk__1 != n15 )
    | ( sk_ != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8012]) ).

thf(zip_derived_cl438_1476,plain,
    ( ( sk_ = n11 )
   <= ( sk_ = n11 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7726_1477,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl5055]) ).

thf(zip_derived_cl7738,plain,
    ( ( ( sum @ ( sum @ ( pred @ n11 ) @ n0 ) @ ( sum @ n14 @ ( succ @ n11 ) ) )
     != ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n14 ) )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl7726]) ).

thf(zip_derived_cl29_1478,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl194_1479,plain,
    ( ( sum @ n10 @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_1480,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl29_1481,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_1482,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl206_1483,plain,
    ( ( sum @ n10 @ n12 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl144_1484,plain,
    ( ( sum @ n6 @ n14 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7770,plain,
    ( ( ( sum @ n10 @ ( sum @ n14 @ n12 ) )
     != n4 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7738,zip_derived_cl29,zip_derived_cl194,zip_derived_cl13,zip_derived_cl29,zip_derived_cl13,zip_derived_cl206,zip_derived_cl144]) ).

thf(zip_derived_cl270_1485,plain,
    ( ( sum @ n14 @ n12 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl204_1486,plain,
    ( ( sum @ n10 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8003,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7770,zip_derived_cl270,zip_derived_cl204]) ).

thf('160',plain,
    ( ( sk__1 != n15 )
    | ( sk_ != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8003]) ).

thf(zip_derived_cl437_1487,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7726_1488,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl5055]) ).

thf(zip_derived_cl7737,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n0 ) @ ( sum @ n14 @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n14 ) )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl7726]) ).

thf(zip_derived_cl28_1489,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl178_1490,plain,
    ( ( sum @ n9 @ n0 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1491,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl28_1492,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1493,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl189_1494,plain,
    ( ( sum @ n9 @ n11 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl112_1495,plain,
    ( ( sum @ n4 @ n14 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7769,plain,
    ( ( ( sum @ n9 @ ( sum @ n14 @ n11 ) )
     != n2 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7737,zip_derived_cl28,zip_derived_cl178,zip_derived_cl12,zip_derived_cl28,zip_derived_cl12,zip_derived_cl189,zip_derived_cl112]) ).

thf(zip_derived_cl269_1496,plain,
    ( ( sum @ n14 @ n11 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl187_1497,plain,
    ( ( sum @ n9 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8001,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7769,zip_derived_cl269,zip_derived_cl187]) ).

thf('161',plain,
    ( ( sk__1 != n15 )
    | ( sk_ != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8001]) ).

thf(zip_derived_cl436_1498,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7726_1499,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl5055]) ).

thf(zip_derived_cl7736,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n0 ) @ ( sum @ n14 @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n14 ) )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl7726]) ).

thf(zip_derived_cl27_1500,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl162_1501,plain,
    ( ( sum @ n8 @ n0 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_1502,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl27_1503,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_1504,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl172_1505,plain,
    ( ( sum @ n8 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl80_1506,plain,
    ( ( sum @ n2 @ n14 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7768,plain,
    ( ( ( sum @ n8 @ ( sum @ n14 @ n10 ) )
     != n0 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7736,zip_derived_cl27,zip_derived_cl162,zip_derived_cl11,zip_derived_cl27,zip_derived_cl11,zip_derived_cl172,zip_derived_cl80]) ).

thf(zip_derived_cl268_1507,plain,
    ( ( sum @ n14 @ n10 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl170_1508,plain,
    ( ( sum @ n8 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7999,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7768,zip_derived_cl268,zip_derived_cl170]) ).

thf('162',plain,
    ( ( sk__1 != n15 )
    | ( sk_ != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7999]) ).

thf(zip_derived_cl435_1509,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7726_1510,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl5055]) ).

thf(zip_derived_cl7735,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n0 ) @ ( sum @ n14 @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n14 ) )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl7726]) ).

thf(zip_derived_cl26_1511,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl146_1512,plain,
    ( ( sum @ n7 @ n0 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_1513,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_1514,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_1515,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl155_1516,plain,
    ( ( sum @ n7 @ n9 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl48_1517,plain,
    ( ( sum @ n0 @ n14 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7767,plain,
    ( ( ( sum @ n7 @ ( sum @ n14 @ n9 ) )
     != n14 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7735,zip_derived_cl26,zip_derived_cl146,zip_derived_cl10,zip_derived_cl26,zip_derived_cl10,zip_derived_cl155,zip_derived_cl48]) ).

thf(zip_derived_cl267_1518,plain,
    ( ( sum @ n14 @ n9 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl153_1519,plain,
    ( ( sum @ n7 @ n7 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7994,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7767,zip_derived_cl267,zip_derived_cl153]) ).

thf('163',plain,
    ( ( sk__1 != n15 )
    | ( sk_ != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7994]) ).

thf(zip_derived_cl431_1520,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7726_1521,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl5055]) ).

thf(zip_derived_cl7731,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n0 ) @ ( sum @ n14 @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n14 ) )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl7726]) ).

thf(zip_derived_cl22_1522,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl82_1523,plain,
    ( ( sum @ n3 @ n0 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_1524,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_1525,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_1526,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl87_1527,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl176_1528,plain,
    ( ( sum @ n8 @ n14 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7763,plain,
    ( ( ( sum @ n3 @ ( sum @ n14 @ n5 ) )
     != n6 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7731,zip_derived_cl22,zip_derived_cl82,zip_derived_cl6,zip_derived_cl22,zip_derived_cl6,zip_derived_cl87,zip_derived_cl176]) ).

thf(zip_derived_cl263_1529,plain,
    ( ( sum @ n14 @ n5 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl85_1530,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7985,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7763,zip_derived_cl263,zip_derived_cl85]) ).

thf('164',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n15 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7985]) ).

thf(zip_derived_cl429_1531,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7726_1532,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl5055]) ).

thf(zip_derived_cl7729,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n0 ) @ ( sum @ n14 @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n14 ) )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl7726]) ).

thf(zip_derived_cl20_1533,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl50_1534,plain,
    ( ( sum @ n1 @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_1535,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_1536,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_1537,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl53_1538,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl112_1539,plain,
    ( ( sum @ n4 @ n14 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7761,plain,
    ( ( ( sum @ n1 @ ( sum @ n14 @ n3 ) )
     != n2 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7729,zip_derived_cl20,zip_derived_cl50,zip_derived_cl4,zip_derived_cl20,zip_derived_cl4,zip_derived_cl53,zip_derived_cl112]) ).

thf(zip_derived_cl261_1540,plain,
    ( ( sum @ n14 @ n3 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl51_1541,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7981,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7761,zip_derived_cl261,zip_derived_cl51]) ).

thf('165',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n15 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7981]) ).

thf(zip_derived_cl428_1542,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7726_1543,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl5055]) ).

thf(zip_derived_cl7728,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n0 ) @ ( sum @ n14 @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n14 ) )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl7726]) ).

thf(zip_derived_cl19_1544,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl34_1545,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1546,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_1547,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1548,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_1549,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl80_1550,plain,
    ( ( sum @ n2 @ n14 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7760,plain,
    ( ( ( sum @ n0 @ ( sum @ n14 @ n2 ) )
     != n0 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7728,zip_derived_cl19,zip_derived_cl34,zip_derived_cl3,zip_derived_cl19,zip_derived_cl3,zip_derived_cl36,zip_derived_cl80]) ).

thf(zip_derived_cl260_1551,plain,
    ( ( sum @ n14 @ n2 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl34_1552,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7979,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n15 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7760,zip_derived_cl260,zip_derived_cl34]) ).

thf('166',plain,
    ( ( sk__1 != n15 )
    | ( sk_ != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7979]) ).

thf(zip_derived_cl427_1553,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7599_1554,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl4920]) ).

thf(zip_derived_cl7638,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n12 ) )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl7599]) ).

thf(zip_derived_cl18_1555,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1556,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl243,plain,
    ( ( sum @ n13 @ n1 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_1557,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1558,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7670,plain,
    ( ( ( sum @ ( sum @ n15 @ n15 ) @ n14 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n12 ) )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7638,zip_derived_cl18,zip_derived_cl2,zip_derived_cl243,zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl289_1559,plain,
    ( ( sum @ n15 @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl272_1560,plain,
    ( ( sum @ n14 @ n14 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl275_1561,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl46_1562,plain,
    ( ( sum @ n0 @ n12 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8183,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7670,zip_derived_cl289,zip_derived_cl272,zip_derived_cl275,zip_derived_cl46]) ).

thf('167',plain,
    ( ( sk_ != n0 )
    | ( sk__1 != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8183]) ).

thf(zip_derived_cl287_1563,plain,
    ( ( sum @ n15 @ n13 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl427_1564,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7234_1565,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl4573]) ).

thf(zip_derived_cl7265,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl7234]) ).

thf(zip_derived_cl18_1566,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1567,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl211_1568,plain,
    ( ( sum @ n11 @ n1 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_1569,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1570,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7297,plain,
    ( ( ( sum @ ( sum @ n15 @ n13 ) @ n12 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7265,zip_derived_cl18,zip_derived_cl2,zip_derived_cl211,zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl8076,plain,
    ( ( ( sum @ n12 @ n12 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl287,zip_derived_cl7297]) ).

thf(zip_derived_cl238_1571,plain,
    ( ( sum @ n12 @ n12 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl275_1572,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl42_1573,plain,
    ( ( sum @ n0 @ n8 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8077,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl8076,zip_derived_cl238,zip_derived_cl275,zip_derived_cl42]) ).

thf('168',plain,
    ( ( sk_ != n0 )
    | ( sk__1 != n12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8077]) ).

thf(zip_derived_cl286,plain,
    ( ( sum @ n15 @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl427_1574,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7071_1575,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl4367]) ).

thf(zip_derived_cl7098,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl7071]) ).

thf(zip_derived_cl18_1576,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1577,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl195,plain,
    ( ( sum @ n10 @ n1 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_1578,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1579,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7130,plain,
    ( ( ( sum @ ( sum @ n15 @ n12 ) @ n11 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7098,zip_derived_cl18,zip_derived_cl2,zip_derived_cl195,zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl8067,plain,
    ( ( ( sum @ n11 @ n11 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl286,zip_derived_cl7130]) ).

thf(zip_derived_cl221_1580,plain,
    ( ( sum @ n11 @ n11 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl275_1581,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl40_1582,plain,
    ( ( sum @ n0 @ n6 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8068,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl8067,zip_derived_cl221,zip_derived_cl275,zip_derived_cl40]) ).

thf('169',plain,
    ( ( sk_ != n0 )
    | ( sk__1 != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8068]) ).

thf(zip_derived_cl283,plain,
    ( ( sum @ n15 @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl427_1583,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6649_1584,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl3749]) ).

thf(zip_derived_cl6658,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl6649]) ).

thf(zip_derived_cl18_1585,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1586,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl147,plain,
    ( ( sum @ n7 @ n1 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_1587,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1588,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6690,plain,
    ( ( ( sum @ ( sum @ n15 @ n9 ) @ n8 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6658,zip_derived_cl18,zip_derived_cl2,zip_derived_cl147,zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl8036,plain,
    ( ( ( sum @ n8 @ n8 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl6690]) ).

thf(zip_derived_cl170_1589,plain,
    ( ( sum @ n8 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl275_1590,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl34_1591,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8037,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl8036,zip_derived_cl170,zip_derived_cl275,zip_derived_cl34]) ).

thf('170',plain,
    ( ( sk_ != n0 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8037]) ).

thf(zip_derived_cl282,plain,
    ( ( sum @ n15 @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl427_1592,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6522_1593,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl3542]) ).

thf(zip_derived_cl6523,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl6522]) ).

thf(zip_derived_cl18_1594,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1595,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl131,plain,
    ( ( sum @ n6 @ n1 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_1596,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1597,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6555,plain,
    ( ( ( sum @ ( sum @ n15 @ n8 ) @ n7 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6523,zip_derived_cl18,zip_derived_cl2,zip_derived_cl131,zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl8027,plain,
    ( ( ( sum @ n7 @ n7 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl282,zip_derived_cl6555]) ).

thf(zip_derived_cl153_1598,plain,
    ( ( sum @ n7 @ n7 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl275_1599,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl48_1600,plain,
    ( ( sum @ n0 @ n14 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8028,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl8027,zip_derived_cl153,zip_derived_cl275,zip_derived_cl48]) ).

thf('171',plain,
    ( ( sk_ != n0 )
    | ( sk__1 != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8028]) ).

thf(zip_derived_cl281_1601,plain,
    ( ( sum @ n15 @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl427_1602,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6412_1603,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl3335]) ).

thf(zip_derived_cl6414,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl6412]) ).

thf(zip_derived_cl18_1604,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1605,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl115_1606,plain,
    ( ( sum @ n5 @ n1 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_1607,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1608,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6446,plain,
    ( ( ( sum @ ( sum @ n15 @ n7 ) @ n6 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6414,zip_derived_cl18,zip_derived_cl2,zip_derived_cl115,zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl8016,plain,
    ( ( ( sum @ n6 @ n6 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl6446]) ).

thf(zip_derived_cl136_1609,plain,
    ( ( sum @ n6 @ n6 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl275_1610,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl46_1611,plain,
    ( ( sum @ n0 @ n12 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8017,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl8016,zip_derived_cl136,zip_derived_cl275,zip_derived_cl46]) ).

thf('172',plain,
    ( ( sk_ != n0 )
    | ( sk__1 != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8017]) ).

thf(zip_derived_cl280_1612,plain,
    ( ( sum @ n15 @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl427_1613,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6272_1614,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl3124]) ).

thf(zip_derived_cl6278,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl6272]) ).

thf(zip_derived_cl18_1615,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1616,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl99_1617,plain,
    ( ( sum @ n4 @ n1 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_1618,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1619,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6310,plain,
    ( ( ( sum @ ( sum @ n15 @ n6 ) @ n5 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6278,zip_derived_cl18,zip_derived_cl2,zip_derived_cl99,zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl8007,plain,
    ( ( ( sum @ n5 @ n5 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl6310]) ).

thf(zip_derived_cl119_1620,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl275_1621,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl44_1622,plain,
    ( ( sum @ n0 @ n10 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8008,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl8007,zip_derived_cl119,zip_derived_cl275,zip_derived_cl44]) ).

thf('173',plain,
    ( ( sk_ != n0 )
    | ( sk__1 != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8008]) ).

thf(zip_derived_cl278_1623,plain,
    ( ( sum @ n15 @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl427_1624,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5759_1625,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl2703]) ).

thf(zip_derived_cl5760,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl5759]) ).

thf(zip_derived_cl18_1626,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1627,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl67_1628,plain,
    ( ( sum @ n2 @ n1 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_1629,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1630,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5792,plain,
    ( ( ( sum @ ( sum @ n15 @ n4 ) @ n3 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5760,zip_derived_cl18,zip_derived_cl2,zip_derived_cl67,zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl7987,plain,
    ( ( ( sum @ n3 @ n3 )
     != ( sum @ ( sum @ n15 @ n1 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl278,zip_derived_cl5792]) ).

thf(zip_derived_cl85_1631,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl275_1632,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl40_1633,plain,
    ( ( sum @ n0 @ n6 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7988,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7987,zip_derived_cl85,zip_derived_cl275,zip_derived_cl40]) ).

thf('174',plain,
    ( ( sk_ != n0 )
    | ( sk__1 != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7988]) ).

thf(zip_derived_cl411_1634,plain,
    ( ( sk__1 = n0 )
   <= ( sk__1 = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl427_1635,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl0_1636,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl606,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
   <= ( sk_ = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl0]) ).

thf(zip_derived_cl2_1637,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1638,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl608,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n1 ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ n1 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
   <= ( sk_ = n0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl606,zip_derived_cl2,zip_derived_cl2]) ).

thf(zip_derived_cl793,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ ( sum @ ( pred @ n0 ) @ n1 ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ n1 ) @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl411,zip_derived_cl608]) ).

thf(zip_derived_cl2_1639,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1640,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl825,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n1 ) @ ( sum @ ( pred @ n0 ) @ n1 ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ n1 ) @ ( sum @ ( pred @ n0 ) @ n1 ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl793,zip_derived_cl2,zip_derived_cl2]) ).

thf('175',plain,
    ( ( sk_ != n0 )
    | ( sk__1 != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl825]) ).

thf(zip_derived_cl272_1641,plain,
    ( ( sum @ n14 @ n14 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl429_1642,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7234_1643,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl4573]) ).

thf(zip_derived_cl7267,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl7234]) ).

thf(zip_derived_cl20_1644,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl63_1645,plain,
    ( ( sum @ n1 @ n13 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_1646,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl213_1647,plain,
    ( ( sum @ n11 @ n3 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_1648,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_1649,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl53_1650,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl106_1651,plain,
    ( ( sum @ n4 @ n8 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7299,plain,
    ( ( ( sum @ n14 @ n14 )
     != n12 )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7267,zip_derived_cl20,zip_derived_cl63,zip_derived_cl4,zip_derived_cl213,zip_derived_cl20,zip_derived_cl4,zip_derived_cl53,zip_derived_cl106]) ).

thf(zip_derived_cl7870,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl7299]) ).

thf('176',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7870]) ).

thf(zip_derived_cl266_1652,plain,
    ( ( sum @ n14 @ n8 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl434_1653,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7234_1654,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl4573]) ).

thf(zip_derived_cl7272,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl7234]) ).

thf(zip_derived_cl25_1655,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl143_1656,plain,
    ( ( sum @ n6 @ n13 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_1657,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl218_1658,plain,
    ( ( sum @ n11 @ n8 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl85_1659,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl25_1660,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_1661,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl138_1662,plain,
    ( ( sum @ n6 @ n8 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7306,plain,
    ( ( n6
     != ( sum @ n14 @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7272,zip_derived_cl25,zip_derived_cl143,zip_derived_cl9,zip_derived_cl218,zip_derived_cl85,zip_derived_cl25,zip_derived_cl9,zip_derived_cl138]) ).

thf(zip_derived_cl7823,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl7306]) ).

thf('177',plain,
    ( ( sk__1 != n12 )
    | ( sk_ != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7823]) ).

thf(zip_derived_cl257_1663,plain,
    ( ( sum @ n13 @ n15 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl441_1664,plain,
    ( ( sk_ = n14 )
   <= ( sk_ = n14 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7234_1665,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl4573]) ).

thf(zip_derived_cl7279,plain,
    ( ( ( sum @ ( sum @ ( pred @ n14 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n14 ) ) )
     != ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl7234]) ).

thf(zip_derived_cl32_1666,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_1667,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl32_1668,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_1669,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7318,plain,
    ( ( ( sum @ ( sum @ n13 @ n13 ) @ ( sum @ n11 @ n15 ) )
     != ( sum @ ( sum @ n13 @ n15 ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7279,zip_derived_cl32,zip_derived_cl16,zip_derived_cl32,zip_derived_cl16]) ).

thf(zip_derived_cl225_1670,plain,
    ( ( sum @ n11 @ n15 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7357,plain,
    ( ( ( sum @ ( sum @ n13 @ n13 ) @ n10 )
     != ( sum @ ( sum @ n13 @ n15 ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7318,zip_derived_cl225]) ).

thf(zip_derived_cl7611,plain,
    ( ( ( sum @ ( sum @ n13 @ n13 ) @ n10 )
     != ( sum @ n12 @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl7357]) ).

thf(zip_derived_cl255_1671,plain,
    ( ( sum @ n13 @ n13 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl204_1672,plain,
    ( ( sum @ n10 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl234_1673,plain,
    ( ( sum @ n12 @ n8 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7634,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7611,zip_derived_cl255,zip_derived_cl204,zip_derived_cl234]) ).

thf('178',plain,
    ( ( sk__1 != n12 )
    | ( sk_ != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7634]) ).

thf(zip_derived_cl255_1674,plain,
    ( ( sum @ n13 @ n13 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl428_1675,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7234_1676,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl4573]) ).

thf(zip_derived_cl7266,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl7234]) ).

thf(zip_derived_cl19_1677,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl47_1678,plain,
    ( ( sum @ n0 @ n13 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1679,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl212_1680,plain,
    ( ( sum @ n11 @ n2 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_1681,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1682,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_1683,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl74_1684,plain,
    ( ( sum @ n2 @ n8 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7298,plain,
    ( ( ( sum @ n13 @ n13 )
     != n10 )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7266,zip_derived_cl19,zip_derived_cl47,zip_derived_cl3,zip_derived_cl212,zip_derived_cl19,zip_derived_cl3,zip_derived_cl36,zip_derived_cl74]) ).

thf(zip_derived_cl7585,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl7298]) ).

thf('179',plain,
    ( ( sk__1 != n12 )
    | ( sk_ != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7585]) ).

thf(zip_derived_cl438_1685,plain,
    ( ( sk_ = n11 )
   <= ( sk_ = n11 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7234_1686,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl4573]) ).

thf(zip_derived_cl7276,plain,
    ( ( ( sum @ ( sum @ ( pred @ n11 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n11 ) ) )
     != ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl7234]) ).

thf(zip_derived_cl29_1687,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl207_1688,plain,
    ( ( sum @ n10 @ n13 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_1689,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl222_1690,plain,
    ( ( sum @ n11 @ n12 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl153_1691,plain,
    ( ( sum @ n7 @ n7 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl29_1692,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_1693,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl206_1694,plain,
    ( ( sum @ n10 @ n12 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl138_1695,plain,
    ( ( sum @ n6 @ n8 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7313,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7276,zip_derived_cl29,zip_derived_cl207,zip_derived_cl13,zip_derived_cl222,zip_derived_cl153,zip_derived_cl29,zip_derived_cl13,zip_derived_cl206,zip_derived_cl138]) ).

thf('180',plain,
    ( ( sk__1 != n12 )
    | ( sk_ != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7313]) ).

thf(zip_derived_cl437_1696,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7234_1697,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl4573]) ).

thf(zip_derived_cl7275,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl7234]) ).

thf(zip_derived_cl28_1698,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl191_1699,plain,
    ( ( sum @ n9 @ n13 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1700,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl221_1701,plain,
    ( ( sum @ n11 @ n11 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl136_1702,plain,
    ( ( sum @ n6 @ n6 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl28_1703,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1704,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl189_1705,plain,
    ( ( sum @ n9 @ n11 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl106_1706,plain,
    ( ( sum @ n4 @ n8 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7311,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7275,zip_derived_cl28,zip_derived_cl191,zip_derived_cl12,zip_derived_cl221,zip_derived_cl136,zip_derived_cl28,zip_derived_cl12,zip_derived_cl189,zip_derived_cl106]) ).

thf('181',plain,
    ( ( sk__1 != n12 )
    | ( sk_ != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7311]) ).

thf(zip_derived_cl436_1707,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7234_1708,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl4573]) ).

thf(zip_derived_cl7274,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl7234]) ).

thf(zip_derived_cl27_1709,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl175_1710,plain,
    ( ( sum @ n8 @ n13 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_1711,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl220_1712,plain,
    ( ( sum @ n11 @ n10 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl119_1713,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl27_1714,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_1715,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl172_1716,plain,
    ( ( sum @ n8 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl74_1717,plain,
    ( ( sum @ n2 @ n8 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7309,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7274,zip_derived_cl27,zip_derived_cl175,zip_derived_cl11,zip_derived_cl220,zip_derived_cl119,zip_derived_cl27,zip_derived_cl11,zip_derived_cl172,zip_derived_cl74]) ).

thf('182',plain,
    ( ( sk__1 != n12 )
    | ( sk_ != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7309]) ).

thf(zip_derived_cl435_1718,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7234_1719,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl4573]) ).

thf(zip_derived_cl7273,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl7234]) ).

thf(zip_derived_cl26_1720,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl159_1721,plain,
    ( ( sum @ n7 @ n13 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_1722,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl219_1723,plain,
    ( ( sum @ n11 @ n9 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl102_1724,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_1725,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_1726,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl155_1727,plain,
    ( ( sum @ n7 @ n9 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl42_1728,plain,
    ( ( sum @ n0 @ n8 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7307,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7273,zip_derived_cl26,zip_derived_cl159,zip_derived_cl10,zip_derived_cl219,zip_derived_cl102,zip_derived_cl26,zip_derived_cl10,zip_derived_cl155,zip_derived_cl42]) ).

thf('183',plain,
    ( ( sk__1 != n12 )
    | ( sk_ != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7307]) ).

thf(zip_derived_cl431_1729,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7234_1730,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
   <= ( sk__1 = n12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl4573]) ).

thf(zip_derived_cl7269,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n8 ) )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl7234]) ).

thf(zip_derived_cl22_1731,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl95_1732,plain,
    ( ( sum @ n3 @ n13 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_1733,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl215_1734,plain,
    ( ( sum @ n11 @ n5 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl34_1735,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_1736,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_1737,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl87_1738,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl170_1739,plain,
    ( ( sum @ n8 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7301,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n12 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7269,zip_derived_cl22,zip_derived_cl95,zip_derived_cl6,zip_derived_cl215,zip_derived_cl34,zip_derived_cl22,zip_derived_cl6,zip_derived_cl87,zip_derived_cl170]) ).

thf('184',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7301]) ).

thf(zip_derived_cl289_1740,plain,
    ( ( sum @ n15 @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl189_1741,plain,
    ( ( sum @ n9 @ n11 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl437_1742,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6272_1743,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl3124]) ).

thf(zip_derived_cl6288,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl6272]) ).

thf(zip_derived_cl28_1744,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1745,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl28_1746,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1747,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6321,plain,
    ( ( ( sum @ ( sum @ n9 @ n6 ) @ ( sum @ n4 @ n11 ) )
     != ( sum @ ( sum @ n9 @ n11 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6288,zip_derived_cl28,zip_derived_cl12,zip_derived_cl28,zip_derived_cl12]) ).

thf(zip_derived_cl109_1748,plain,
    ( ( sum @ n4 @ n11 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6862,plain,
    ( ( ( sum @ ( sum @ n9 @ n6 ) @ n15 )
     != ( sum @ ( sum @ n9 @ n11 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6321,zip_derived_cl109]) ).

thf(zip_derived_cl6922,plain,
    ( ( ( sum @ ( sum @ n9 @ n6 ) @ n15 )
     != ( sum @ n4 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl6862]) ).

thf(zip_derived_cl184_1749,plain,
    ( ( sum @ n9 @ n6 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl108_1750,plain,
    ( ( sum @ n4 @ n10 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6932,plain,
    ( ( ( sum @ n15 @ n15 )
     != n14 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6922,zip_derived_cl184,zip_derived_cl108]) ).

thf(zip_derived_cl8100,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl6932]) ).

thf('185',plain,
    ( ( sk_ != n10 )
    | ( sk__1 != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8100]) ).

thf(zip_derived_cl437_1751,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7890_1752,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl2073]) ).

thf(zip_derived_cl7913,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n1 ) @ ( sum @ n15 @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl7890]) ).

thf(zip_derived_cl28_1753,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl179_1754,plain,
    ( ( sum @ n9 @ n1 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1755,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl28_1756,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1757,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl189_1758,plain,
    ( ( sum @ n9 @ n11 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl98_1759,plain,
    ( ( sum @ n4 @ n0 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7946,plain,
    ( ( ( sum @ n10 @ ( sum @ n15 @ n11 ) )
     != n4 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7913,zip_derived_cl28,zip_derived_cl179,zip_derived_cl12,zip_derived_cl28,zip_derived_cl12,zip_derived_cl189,zip_derived_cl98]) ).

thf(zip_derived_cl285_1760,plain,
    ( ( sum @ n15 @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl204_1761,plain,
    ( ( sum @ n10 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8092,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7946,zip_derived_cl285,zip_derived_cl204]) ).

thf('186',plain,
    ( ( sk_ != n10 )
    | ( sk__1 != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8092]) ).

thf(zip_derived_cl437_1762,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7599_1763,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl4920]) ).

thf(zip_derived_cl7648,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n12 ) )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl7599]) ).

thf(zip_derived_cl28_1764,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl193_1765,plain,
    ( ( sum @ n9 @ n15 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1766,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl253_1767,plain,
    ( ( sum @ n13 @ n11 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl170_1768,plain,
    ( ( sum @ n8 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl28_1769,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1770,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl189_1771,plain,
    ( ( sum @ n9 @ n11 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl110_1772,plain,
    ( ( sum @ n4 @ n12 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7687,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7648,zip_derived_cl28,zip_derived_cl193,zip_derived_cl12,zip_derived_cl253,zip_derived_cl170,zip_derived_cl28,zip_derived_cl12,zip_derived_cl189,zip_derived_cl110]) ).

thf('187',plain,
    ( ( sk_ != n10 )
    | ( sk__1 != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7687]) ).

thf(zip_derived_cl255_1773,plain,
    ( ( sum @ n13 @ n13 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl189_1774,plain,
    ( ( sum @ n9 @ n11 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl437_1775,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5759_1776,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl2703]) ).

thf(zip_derived_cl5770,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl5759]) ).

thf(zip_derived_cl28_1777,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1778,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl28_1779,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1780,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5803,plain,
    ( ( ( sum @ ( sum @ n9 @ n4 ) @ ( sum @ n2 @ n11 ) )
     != ( sum @ ( sum @ n9 @ n11 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5770,zip_derived_cl28,zip_derived_cl12,zip_derived_cl28,zip_derived_cl12]) ).

thf(zip_derived_cl77_1781,plain,
    ( ( sum @ n2 @ n11 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6733,plain,
    ( ( ( sum @ ( sum @ n9 @ n4 ) @ n13 )
     != ( sum @ ( sum @ n9 @ n11 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5803,zip_derived_cl77]) ).

thf(zip_derived_cl6919,plain,
    ( ( ( sum @ ( sum @ n9 @ n4 ) @ n13 )
     != ( sum @ n4 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl6733]) ).

thf(zip_derived_cl182_1782,plain,
    ( ( sum @ n9 @ n4 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl104_1783,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6928,plain,
    ( ( ( sum @ n13 @ n13 )
     != n10 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6919,zip_derived_cl182,zip_derived_cl104]) ).

thf(zip_derived_cl7580,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl6928]) ).

thf('188',plain,
    ( ( sk_ != n10 )
    | ( sk__1 != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7580]) ).

thf(zip_derived_cl437_1784,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7071_1785,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl4367]) ).

thf(zip_derived_cl7108,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl7071]) ).

thf(zip_derived_cl28_1786,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl190_1787,plain,
    ( ( sum @ n9 @ n12 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1788,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl205_1789,plain,
    ( ( sum @ n10 @ n11 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl119_1790,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl28_1791,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1792,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl189_1793,plain,
    ( ( sum @ n9 @ n11 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl104_1794,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7143,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7108,zip_derived_cl28,zip_derived_cl190,zip_derived_cl12,zip_derived_cl205,zip_derived_cl119,zip_derived_cl28,zip_derived_cl12,zip_derived_cl189,zip_derived_cl104]) ).

thf('189',plain,
    ( ( sk_ != n10 )
    | ( sk__1 != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7143]) ).

thf(zip_derived_cl437_1795,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6649_1796,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl3749]) ).

thf(zip_derived_cl6668,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl6649]) ).

thf(zip_derived_cl28_1797,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1798,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl28_1799,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1800,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6701,plain,
    ( ( ( sum @ ( sum @ n9 @ n9 ) @ ( sum @ n7 @ n11 ) )
     != ( sum @ ( sum @ n9 @ n11 ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6668,zip_derived_cl28,zip_derived_cl12,zip_derived_cl28,zip_derived_cl12]) ).

thf(zip_derived_cl187_1801,plain,
    ( ( sum @ n9 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl157_1802,plain,
    ( ( sum @ n7 @ n11 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl68_1803,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl189_1804,plain,
    ( ( sum @ n9 @ n11 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl98_1805,plain,
    ( ( sum @ n4 @ n0 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7014,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6701,zip_derived_cl187,zip_derived_cl157,zip_derived_cl68,zip_derived_cl189,zip_derived_cl98]) ).

thf('190',plain,
    ( ( sk_ != n10 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7014]) ).

thf(zip_derived_cl189_1806,plain,
    ( ( sum @ n9 @ n11 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl437_1807,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6522_1808,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl3542]) ).

thf(zip_derived_cl6533,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl6522]) ).

thf(zip_derived_cl28_1809,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1810,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl28_1811,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1812,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6566,plain,
    ( ( ( sum @ ( sum @ n9 @ n8 ) @ ( sum @ n6 @ n11 ) )
     != ( sum @ ( sum @ n9 @ n11 ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6533,zip_derived_cl28,zip_derived_cl12,zip_derived_cl28,zip_derived_cl12]) ).

thf(zip_derived_cl141_1813,plain,
    ( ( sum @ n6 @ n11 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6893,plain,
    ( ( ( sum @ ( sum @ n9 @ n8 ) @ n1 )
     != ( sum @ ( sum @ n9 @ n11 ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6566,zip_derived_cl141]) ).

thf(zip_derived_cl6924,plain,
    ( ( ( sum @ ( sum @ n9 @ n8 ) @ n1 )
     != ( sum @ n4 @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl6893]) ).

thf(zip_derived_cl186_1814,plain,
    ( ( sum @ n9 @ n8 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl51_1815,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl112_1816,plain,
    ( ( sum @ n4 @ n14 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6935,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6924,zip_derived_cl186,zip_derived_cl51,zip_derived_cl112]) ).

thf('191',plain,
    ( ( sk_ != n10 )
    | ( sk__1 != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6935]) ).

thf(zip_derived_cl189_1817,plain,
    ( ( sum @ n9 @ n11 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl437_1818,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6412_1819,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl3335]) ).

thf(zip_derived_cl6424,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl6412]) ).

thf(zip_derived_cl28_1820,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1821,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl28_1822,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1823,plain,
    ( ( succ @ n10 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6457,plain,
    ( ( ( sum @ ( sum @ n9 @ n7 ) @ ( sum @ n5 @ n11 ) )
     != ( sum @ ( sum @ n9 @ n11 ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6424,zip_derived_cl28,zip_derived_cl12,zip_derived_cl28,zip_derived_cl12]) ).

thf(zip_derived_cl125_1824,plain,
    ( ( sum @ n5 @ n11 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6878,plain,
    ( ( ( sum @ ( sum @ n9 @ n7 ) @ n0 )
     != ( sum @ ( sum @ n9 @ n11 ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6457,zip_derived_cl125]) ).

thf(zip_derived_cl6923,plain,
    ( ( ( sum @ ( sum @ n9 @ n7 ) @ n0 )
     != ( sum @ n4 @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl6878]) ).

thf(zip_derived_cl185_1825,plain,
    ( ( sum @ n9 @ n7 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl34_1826,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl110_1827,plain,
    ( ( sum @ n4 @ n12 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6933,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6923,zip_derived_cl185,zip_derived_cl34,zip_derived_cl110]) ).

thf('192',plain,
    ( ( sk_ != n10 )
    | ( sk__1 != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6933]) ).

thf(zip_derived_cl441_1828,plain,
    ( ( sk_ = n14 )
   <= ( sk_ = n14 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7890_1829,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl2073]) ).

thf(zip_derived_cl7917,plain,
    ( ( ( sum @ ( sum @ ( pred @ n14 ) @ n1 ) @ ( sum @ n15 @ ( succ @ n14 ) ) )
     != ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl7890]) ).

thf(zip_derived_cl32_1830,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl243_1831,plain,
    ( ( sum @ n13 @ n1 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_1832,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl32_1833,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_1834,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl257_1835,plain,
    ( ( sum @ n13 @ n15 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl226_1836,plain,
    ( ( sum @ n12 @ n0 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7950,plain,
    ( ( ( sum @ n14 @ ( sum @ n15 @ n15 ) )
     != n12 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7917,zip_derived_cl32,zip_derived_cl243,zip_derived_cl16,zip_derived_cl32,zip_derived_cl16,zip_derived_cl257,zip_derived_cl226]) ).

thf(zip_derived_cl289_1837,plain,
    ( ( sum @ n15 @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl272_1838,plain,
    ( ( sum @ n14 @ n14 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8137,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7950,zip_derived_cl289,zip_derived_cl272]) ).

thf('193',plain,
    ( ( sk__1 != n0 )
    | ( sk_ != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8137]) ).

thf(zip_derived_cl438_1839,plain,
    ( ( sk_ = n11 )
   <= ( sk_ = n11 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7890_1840,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl2073]) ).

thf(zip_derived_cl7914,plain,
    ( ( ( sum @ ( sum @ ( pred @ n11 ) @ n1 ) @ ( sum @ n15 @ ( succ @ n11 ) ) )
     != ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl7890]) ).

thf(zip_derived_cl29_1841,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl195_1842,plain,
    ( ( sum @ n10 @ n1 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_1843,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl29_1844,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_1845,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl206_1846,plain,
    ( ( sum @ n10 @ n12 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl130_1847,plain,
    ( ( sum @ n6 @ n0 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7947,plain,
    ( ( ( sum @ n11 @ ( sum @ n15 @ n12 ) )
     != n6 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7914,zip_derived_cl29,zip_derived_cl195,zip_derived_cl13,zip_derived_cl29,zip_derived_cl13,zip_derived_cl206,zip_derived_cl130]) ).

thf(zip_derived_cl286_1848,plain,
    ( ( sum @ n15 @ n12 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl221_1849,plain,
    ( ( sum @ n11 @ n11 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8094,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7947,zip_derived_cl286,zip_derived_cl221]) ).

thf('194',plain,
    ( ( sk__1 != n0 )
    | ( sk_ != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8094]) ).

thf(zip_derived_cl436_1850,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7890_1851,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl2073]) ).

thf(zip_derived_cl7912,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n1 ) @ ( sum @ n15 @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl7890]) ).

thf(zip_derived_cl27_1852,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl163_1853,plain,
    ( ( sum @ n8 @ n1 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_1854,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl27_1855,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_1856,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl172_1857,plain,
    ( ( sum @ n8 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl66_1858,plain,
    ( ( sum @ n2 @ n0 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7945,plain,
    ( ( ( sum @ n9 @ ( sum @ n15 @ n10 ) )
     != n2 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7912,zip_derived_cl27,zip_derived_cl163,zip_derived_cl11,zip_derived_cl27,zip_derived_cl11,zip_derived_cl172,zip_derived_cl66]) ).

thf(zip_derived_cl284_1859,plain,
    ( ( sum @ n15 @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl187_1860,plain,
    ( ( sum @ n9 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8090,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7945,zip_derived_cl284,zip_derived_cl187]) ).

thf('195',plain,
    ( ( sk__1 != n0 )
    | ( sk_ != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8090]) ).

thf(zip_derived_cl435_1861,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7890_1862,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl2073]) ).

thf(zip_derived_cl7911,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n1 ) @ ( sum @ n15 @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl7890]) ).

thf(zip_derived_cl26_1863,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl147_1864,plain,
    ( ( sum @ n7 @ n1 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_1865,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_1866,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_1867,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl155_1868,plain,
    ( ( sum @ n7 @ n9 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl34_1869,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7944,plain,
    ( ( ( sum @ n8 @ ( sum @ n15 @ n9 ) )
     != n0 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7911,zip_derived_cl26,zip_derived_cl147,zip_derived_cl10,zip_derived_cl26,zip_derived_cl10,zip_derived_cl155,zip_derived_cl34]) ).

thf(zip_derived_cl283_1870,plain,
    ( ( sum @ n15 @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl170_1871,plain,
    ( ( sum @ n8 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8085,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7944,zip_derived_cl283,zip_derived_cl170]) ).

thf('196',plain,
    ( ( sk__1 != n0 )
    | ( sk_ != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8085]) ).

thf(zip_derived_cl434_1872,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7890_1873,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl2073]) ).

thf(zip_derived_cl7910,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n1 ) @ ( sum @ n15 @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl7890]) ).

thf(zip_derived_cl25_1874,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl131_1875,plain,
    ( ( sum @ n6 @ n1 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_1876,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl25_1877,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_1878,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl138_1879,plain,
    ( ( sum @ n6 @ n8 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl258_1880,plain,
    ( ( sum @ n14 @ n0 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7943,plain,
    ( ( ( sum @ n7 @ ( sum @ n15 @ n8 ) )
     != n14 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7910,zip_derived_cl25,zip_derived_cl131,zip_derived_cl9,zip_derived_cl25,zip_derived_cl9,zip_derived_cl138,zip_derived_cl258]) ).

thf(zip_derived_cl282_1881,plain,
    ( ( sum @ n15 @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl153_1882,plain,
    ( ( sum @ n7 @ n7 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8083,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7943,zip_derived_cl282,zip_derived_cl153]) ).

thf('197',plain,
    ( ( sk__1 != n0 )
    | ( sk_ != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8083]) ).

thf(zip_derived_cl275_1883,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl411_1884,plain,
    ( ( sk__1 = n0 )
   <= ( sk__1 = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl22_1885,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl431_1886,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl0_1887,plain,
    ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
   != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl637,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
   <= ( sk_ = n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl0]) ).

thf(zip_derived_cl6_1888,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_1889,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2208,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n5 ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ n5 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
   <= ( sk_ = n4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl637,zip_derived_cl6,zip_derived_cl6]) ).

thf(zip_derived_cl2914,plain,
    ( ( ( sum @ ( sum @ n3 @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n5 ) )
     != ( sum @ ( sum @ n3 @ n5 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
   <= ( sk_ = n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl2208]) ).

thf(zip_derived_cl2985,plain,
    ( ( ( sum @ ( sum @ n3 @ ( succ @ n0 ) ) @ ( sum @ ( pred @ n0 ) @ n5 ) )
     != ( sum @ ( sum @ n3 @ n5 ) @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl411,zip_derived_cl2914]) ).

thf(zip_derived_cl2_1890,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_1891,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_1892,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1893,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3018,plain,
    ( ( ( sum @ ( sum @ n3 @ n1 ) @ ( sum @ n15 @ n5 ) )
     != ( sum @ ( sum @ n3 @ n5 ) @ ( sum @ n15 @ n1 ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2985,zip_derived_cl2,zip_derived_cl18,zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl83_1894,plain,
    ( ( sum @ n3 @ n1 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl87_1895,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7371,plain,
    ( ( ( sum @ n4 @ ( sum @ n15 @ n5 ) )
     != ( sum @ n8 @ ( sum @ n15 @ n1 ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3018,zip_derived_cl83,zip_derived_cl87]) ).

thf(zip_derived_cl7894,plain,
    ( ( ( sum @ n4 @ ( sum @ n15 @ n5 ) )
     != ( sum @ n8 @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl7371]) ).

thf(zip_derived_cl162_1896,plain,
    ( ( sum @ n8 @ n0 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7899,plain,
    ( ( ( sum @ n4 @ ( sum @ n15 @ n5 ) )
     != n8 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7894,zip_derived_cl162]) ).

thf(zip_derived_cl279_1897,plain,
    ( ( sum @ n15 @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl102_1898,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8061,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7899,zip_derived_cl279,zip_derived_cl102]) ).

thf('198',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8061]) ).

thf(zip_derived_cl275_1899,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl411_1900,plain,
    ( ( sk__1 = n0 )
   <= ( sk__1 = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl20_1901,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl620_1902,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n3 ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ n3 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
   <= ( sk_ = n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl616,zip_derived_cl4,zip_derived_cl4]) ).

thf(zip_derived_cl2481,plain,
    ( ( ( sum @ ( sum @ n1 @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n3 ) )
     != ( sum @ ( sum @ n1 @ n3 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
   <= ( sk_ = n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl620]) ).

thf(zip_derived_cl2498,plain,
    ( ( ( sum @ ( sum @ n1 @ ( succ @ n0 ) ) @ ( sum @ ( pred @ n0 ) @ n3 ) )
     != ( sum @ ( sum @ n1 @ n3 ) @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl411,zip_derived_cl2481]) ).

thf(zip_derived_cl2_1903,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_1904,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_1905,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1906,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2532,plain,
    ( ( ( sum @ ( sum @ n1 @ n1 ) @ ( sum @ n15 @ n3 ) )
     != ( sum @ ( sum @ n1 @ n3 ) @ ( sum @ n15 @ n1 ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2498,zip_derived_cl2,zip_derived_cl18,zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl51_1907,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl53_1908,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7176,plain,
    ( ( ( sum @ n2 @ ( sum @ n15 @ n3 ) )
     != ( sum @ n4 @ ( sum @ n15 @ n1 ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2532,zip_derived_cl51,zip_derived_cl53]) ).

thf(zip_derived_cl7892,plain,
    ( ( ( sum @ n2 @ ( sum @ n15 @ n3 ) )
     != ( sum @ n4 @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl7176]) ).

thf(zip_derived_cl98_1909,plain,
    ( ( sum @ n4 @ n0 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7897,plain,
    ( ( ( sum @ n2 @ ( sum @ n15 @ n3 ) )
     != n4 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7892,zip_derived_cl98]) ).

thf(zip_derived_cl277_1910,plain,
    ( ( sum @ n15 @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl68_1911,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8054,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7897,zip_derived_cl277,zip_derived_cl68]) ).

thf('199',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8054]) ).

thf(zip_derived_cl275_1912,plain,
    ( ( sum @ n15 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl411_1913,plain,
    ( ( sk__1 = n0 )
   <= ( sk__1 = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl19_1914,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl613_1915,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n2 ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ n2 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
   <= ( sk_ = n1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl610,zip_derived_cl3,zip_derived_cl3]) ).

thf(zip_derived_cl2277,plain,
    ( ( ( sum @ ( sum @ n0 @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n2 ) )
     != ( sum @ ( sum @ n0 @ n2 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
   <= ( sk_ = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl613]) ).

thf(zip_derived_cl2279,plain,
    ( ( ( sum @ ( sum @ n0 @ ( succ @ n0 ) ) @ ( sum @ ( pred @ n0 ) @ n2 ) )
     != ( sum @ ( sum @ n0 @ n2 ) @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl411,zip_derived_cl2277]) ).

thf(zip_derived_cl2_1916,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_1917,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_1918,plain,
    ( ( pred @ n0 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1919,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2311,plain,
    ( ( ( sum @ ( sum @ n0 @ n1 ) @ ( sum @ n15 @ n2 ) )
     != ( sum @ ( sum @ n0 @ n2 ) @ ( sum @ n15 @ n1 ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2279,zip_derived_cl2,zip_derived_cl18,zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl35_1920,plain,
    ( ( sum @ n0 @ n1 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_1921,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7053,plain,
    ( ( ( sum @ n1 @ ( sum @ n15 @ n2 ) )
     != ( sum @ n2 @ ( sum @ n15 @ n1 ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2311,zip_derived_cl35,zip_derived_cl36]) ).

thf(zip_derived_cl7891,plain,
    ( ( ( sum @ n1 @ ( sum @ n15 @ n2 ) )
     != ( sum @ n2 @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl7053]) ).

thf(zip_derived_cl66_1922,plain,
    ( ( sum @ n2 @ n0 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7896,plain,
    ( ( ( sum @ n1 @ ( sum @ n15 @ n2 ) )
     != n2 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7891,zip_derived_cl66]) ).

thf(zip_derived_cl276_1923,plain,
    ( ( sum @ n15 @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl51_1924,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8052,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7896,zip_derived_cl276,zip_derived_cl51]) ).

thf('200',plain,
    ( ( sk__1 != n0 )
    | ( sk_ != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8052]) ).

thf(zip_derived_cl289_1925,plain,
    ( ( sum @ n15 @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl428_1926,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7599_1927,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl4920]) ).

thf(zip_derived_cl7639,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n12 ) )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl7599]) ).

thf(zip_derived_cl19_1928,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl49_1929,plain,
    ( ( sum @ n0 @ n15 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1930,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl244_1931,plain,
    ( ( sum @ n13 @ n2 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_1932,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1933,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_1934,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl78_1935,plain,
    ( ( sum @ n2 @ n12 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7671,plain,
    ( ( ( sum @ n15 @ n15 )
     != n14 )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7639,zip_derived_cl19,zip_derived_cl49,zip_derived_cl3,zip_derived_cl244,zip_derived_cl19,zip_derived_cl3,zip_derived_cl36,zip_derived_cl78]) ).

thf(zip_derived_cl8109,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl7671]) ).

thf('201',plain,
    ( ( sk_ != n1 )
    | ( sk__1 != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8109]) ).

thf(zip_derived_cl238_1936,plain,
    ( ( sum @ n12 @ n12 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl428_1937,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7071_1938,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl4367]) ).

thf(zip_derived_cl7099,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl7071]) ).

thf(zip_derived_cl19_1939,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl46_1940,plain,
    ( ( sum @ n0 @ n12 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1941,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl196_1942,plain,
    ( ( sum @ n10 @ n2 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_1943,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1944,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_1945,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl72_1946,plain,
    ( ( sum @ n2 @ n6 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7131,plain,
    ( ( ( sum @ n12 @ n12 )
     != n8 )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7099,zip_derived_cl19,zip_derived_cl46,zip_derived_cl3,zip_derived_cl196,zip_derived_cl19,zip_derived_cl3,zip_derived_cl36,zip_derived_cl72]) ).

thf(zip_derived_cl7405,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl7131]) ).

thf('202',plain,
    ( ( sk_ != n1 )
    | ( sk__1 != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7405]) ).

thf(zip_derived_cl187_1947,plain,
    ( ( sum @ n9 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl428_1948,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6649_1949,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl3749]) ).

thf(zip_derived_cl6659,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl6649]) ).

thf(zip_derived_cl19_1950,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl43_1951,plain,
    ( ( sum @ n0 @ n9 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1952,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl148_1953,plain,
    ( ( sum @ n7 @ n2 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_1954,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1955,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_1956,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl66_1957,plain,
    ( ( sum @ n2 @ n0 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6691,plain,
    ( ( ( sum @ n9 @ n9 )
     != n2 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6659,zip_derived_cl19,zip_derived_cl43,zip_derived_cl3,zip_derived_cl148,zip_derived_cl19,zip_derived_cl3,zip_derived_cl36,zip_derived_cl66]) ).

thf(zip_derived_cl6904,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl6691]) ).

thf('203',plain,
    ( ( sk_ != n1 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6904]) ).

thf(zip_derived_cl170_1958,plain,
    ( ( sum @ n8 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl428_1959,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6522_1960,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl3542]) ).

thf(zip_derived_cl6524,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl6522]) ).

thf(zip_derived_cl19_1961,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl42_1962,plain,
    ( ( sum @ n0 @ n8 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1963,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl132_1964,plain,
    ( ( sum @ n6 @ n2 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_1965,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1966,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_1967,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl80_1968,plain,
    ( ( sum @ n2 @ n14 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6556,plain,
    ( ( ( sum @ n8 @ n8 )
     != n0 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6524,zip_derived_cl19,zip_derived_cl42,zip_derived_cl3,zip_derived_cl132,zip_derived_cl19,zip_derived_cl3,zip_derived_cl36,zip_derived_cl80]) ).

thf(zip_derived_cl6772,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl6556]) ).

thf('204',plain,
    ( ( sk_ != n1 )
    | ( sk__1 != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6772]) ).

thf(zip_derived_cl153_1969,plain,
    ( ( sum @ n7 @ n7 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl428_1970,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6412_1971,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl3335]) ).

thf(zip_derived_cl6415,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl6412]) ).

thf(zip_derived_cl19_1972,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl41_1973,plain,
    ( ( sum @ n0 @ n7 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1974,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl116_1975,plain,
    ( ( sum @ n5 @ n2 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_1976,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1977,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_1978,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl78_1979,plain,
    ( ( sum @ n2 @ n12 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6447,plain,
    ( ( ( sum @ n7 @ n7 )
     != n14 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6415,zip_derived_cl19,zip_derived_cl41,zip_derived_cl3,zip_derived_cl116,zip_derived_cl19,zip_derived_cl3,zip_derived_cl36,zip_derived_cl78]) ).

thf(zip_derived_cl6638,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl6447]) ).

thf('205',plain,
    ( ( sk_ != n1 )
    | ( sk__1 != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6638]) ).

thf(zip_derived_cl136_1980,plain,
    ( ( sum @ n6 @ n6 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl428_1981,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6272_1982,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl3124]) ).

thf(zip_derived_cl6279,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl6272]) ).

thf(zip_derived_cl19_1983,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl40_1984,plain,
    ( ( sum @ n0 @ n6 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1985,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl100_1986,plain,
    ( ( sum @ n4 @ n2 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_1987,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1988,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_1989,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl76_1990,plain,
    ( ( sum @ n2 @ n10 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6311,plain,
    ( ( ( sum @ n6 @ n6 )
     != n12 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6279,zip_derived_cl19,zip_derived_cl40,zip_derived_cl3,zip_derived_cl100,zip_derived_cl19,zip_derived_cl3,zip_derived_cl36,zip_derived_cl76]) ).

thf(zip_derived_cl6516,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl6311]) ).

thf('206',plain,
    ( ( sk_ != n1 )
    | ( sk__1 != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6516]) ).

thf(zip_derived_cl102_1991,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl428_1992,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5759_1993,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl2703]) ).

thf(zip_derived_cl5761,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl5759]) ).

thf(zip_derived_cl19_1994,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl38_1995,plain,
    ( ( sum @ n0 @ n4 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1996,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl68_1997,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_1998,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1999,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_2000,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5793,plain,
    ( ( ( sum @ n4 @ n4 )
     != ( sum @ n2 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5761,zip_derived_cl19,zip_derived_cl38,zip_derived_cl3,zip_derived_cl68,zip_derived_cl19,zip_derived_cl3,zip_derived_cl36]) ).

thf(zip_derived_cl72_2001,plain,
    ( ( sum @ n2 @ n6 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6248,plain,
    ( ( ( sum @ n4 @ n4 )
     != n8 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5793,zip_derived_cl72]) ).

thf(zip_derived_cl6261,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl6248]) ).

thf('207',plain,
    ( ( sk_ != n1 )
    | ( sk__1 != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6261]) ).

thf(zip_derived_cl272_2002,plain,
    ( ( sum @ n14 @ n14 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl436_2003,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6272_2004,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl3124]) ).

thf(zip_derived_cl6287,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl6272]) ).

thf(zip_derived_cl27_2005,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_2006,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl27_2007,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_2008,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6320,plain,
    ( ( ( sum @ ( sum @ n8 @ n6 ) @ ( sum @ n4 @ n10 ) )
     != ( sum @ ( sum @ n8 @ n10 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6287,zip_derived_cl27,zip_derived_cl11,zip_derived_cl27,zip_derived_cl11]) ).

thf(zip_derived_cl168_2009,plain,
    ( ( sum @ n8 @ n6 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl108_2010,plain,
    ( ( sum @ n4 @ n10 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl172_2011,plain,
    ( ( sum @ n8 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl76_2012,plain,
    ( ( sum @ n2 @ n10 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6861,plain,
    ( ( ( sum @ n14 @ n14 )
     != n12 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6320,zip_derived_cl168,zip_derived_cl108,zip_derived_cl172,zip_derived_cl76]) ).

thf(zip_derived_cl7863,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl6861]) ).

thf('208',plain,
    ( ( sk__1 != n5 )
    | ( sk_ != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7863]) ).

thf(zip_derived_cl268_2013,plain,
    ( ( sum @ n14 @ n10 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl434_2014,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6272_2015,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl3124]) ).

thf(zip_derived_cl6285,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl6272]) ).

thf(zip_derived_cl25_2016,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_2017,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl25_2018,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_2019,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6318,plain,
    ( ( ( sum @ ( sum @ n6 @ n6 ) @ ( sum @ n4 @ n8 ) )
     != ( sum @ ( sum @ n6 @ n8 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6285,zip_derived_cl25,zip_derived_cl9,zip_derived_cl25,zip_derived_cl9]) ).

thf(zip_derived_cl136_2020,plain,
    ( ( sum @ n6 @ n6 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl106_2021,plain,
    ( ( sum @ n4 @ n8 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl138_2022,plain,
    ( ( sum @ n6 @ n8 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6782,plain,
    ( ( ( sum @ n12 @ n12 )
     != ( sum @ n14 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6318,zip_derived_cl136,zip_derived_cl106,zip_derived_cl138]) ).

thf(zip_derived_cl7831,plain,
    ( ( ( sum @ n12 @ n12 )
     != n8 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl6782]) ).

thf(zip_derived_cl238_2023,plain,
    ( ( sum @ n12 @ n12 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7834,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7831,zip_derived_cl238]) ).

thf('209',plain,
    ( ( sk__1 != n5 )
    | ( sk_ != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7834]) ).

thf(zip_derived_cl257_2024,plain,
    ( ( sum @ n13 @ n15 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl441_2025,plain,
    ( ( sk_ = n14 )
   <= ( sk_ = n14 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6272_2026,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl3124]) ).

thf(zip_derived_cl6292,plain,
    ( ( ( sum @ ( sum @ ( pred @ n14 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n14 ) ) )
     != ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl6272]) ).

thf(zip_derived_cl32_2027,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_2028,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl32_2029,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_2030,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6325,plain,
    ( ( ( sum @ ( sum @ n13 @ n6 ) @ ( sum @ n4 @ n15 ) )
     != ( sum @ ( sum @ n13 @ n15 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6292,zip_derived_cl32,zip_derived_cl16,zip_derived_cl32,zip_derived_cl16]) ).

thf(zip_derived_cl113_2031,plain,
    ( ( sum @ n4 @ n15 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6866,plain,
    ( ( ( sum @ ( sum @ n13 @ n6 ) @ n3 )
     != ( sum @ ( sum @ n13 @ n15 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6325,zip_derived_cl113]) ).

thf(zip_derived_cl7604,plain,
    ( ( ( sum @ ( sum @ n13 @ n6 ) @ n3 )
     != ( sum @ n12 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl6866]) ).

thf(zip_derived_cl248_2032,plain,
    ( ( sum @ n13 @ n6 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl85_2033,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl236_2034,plain,
    ( ( sum @ n12 @ n10 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7620,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7604,zip_derived_cl248,zip_derived_cl85,zip_derived_cl236]) ).

thf('210',plain,
    ( ( sk__1 != n5 )
    | ( sk_ != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7620]) ).

thf(zip_derived_cl255_2035,plain,
    ( ( sum @ n13 @ n13 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl435_2036,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6272_2037,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl3124]) ).

thf(zip_derived_cl6286,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl6272]) ).

thf(zip_derived_cl26_2038,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_2039,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_2040,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_2041,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6319,plain,
    ( ( ( sum @ ( sum @ n7 @ n6 ) @ ( sum @ n4 @ n9 ) )
     != ( sum @ ( sum @ n7 @ n9 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6286,zip_derived_cl26,zip_derived_cl10,zip_derived_cl26,zip_derived_cl10]) ).

thf(zip_derived_cl152_2042,plain,
    ( ( sum @ n7 @ n6 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl107_2043,plain,
    ( ( sum @ n4 @ n9 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl155_2044,plain,
    ( ( sum @ n7 @ n9 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl44_2045,plain,
    ( ( sum @ n0 @ n10 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6792,plain,
    ( ( ( sum @ n13 @ n13 )
     != n10 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6319,zip_derived_cl152,zip_derived_cl107,zip_derived_cl155,zip_derived_cl44]) ).

thf(zip_derived_cl7578,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl6792]) ).

thf('211',plain,
    ( ( sk__1 != n5 )
    | ( sk_ != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7578]) ).

thf(zip_derived_cl206_2046,plain,
    ( ( sum @ n10 @ n12 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl438_2047,plain,
    ( ( sk_ = n11 )
   <= ( sk_ = n11 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6272_2048,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl3124]) ).

thf(zip_derived_cl6289,plain,
    ( ( ( sum @ ( sum @ ( pred @ n11 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n11 ) ) )
     != ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl6272]) ).

thf(zip_derived_cl29_2049,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_2050,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl29_2051,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_2052,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6322,plain,
    ( ( ( sum @ ( sum @ n10 @ n6 ) @ ( sum @ n4 @ n12 ) )
     != ( sum @ ( sum @ n10 @ n12 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6289,zip_derived_cl29,zip_derived_cl13,zip_derived_cl29,zip_derived_cl13]) ).

thf(zip_derived_cl110_2053,plain,
    ( ( sum @ n4 @ n12 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6863,plain,
    ( ( ( sum @ ( sum @ n10 @ n6 ) @ n0 )
     != ( sum @ ( sum @ n10 @ n12 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6322,zip_derived_cl110]) ).

thf(zip_derived_cl7076,plain,
    ( ( ( sum @ ( sum @ n10 @ n6 ) @ n0 )
     != ( sum @ n6 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl6863]) ).

thf(zip_derived_cl200_2054,plain,
    ( ( sum @ n10 @ n6 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl34_2055,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl140_2056,plain,
    ( ( sum @ n6 @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7086,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7076,zip_derived_cl200,zip_derived_cl34,zip_derived_cl140]) ).

thf('212',plain,
    ( ( sk__1 != n5 )
    | ( sk_ != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7086]) ).

thf(zip_derived_cl187_2057,plain,
    ( ( sum @ n9 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl431_2058,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6272_2059,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl3124]) ).

thf(zip_derived_cl6282,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl6272]) ).

thf(zip_derived_cl22_2060,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl88_2061,plain,
    ( ( sum @ n3 @ n6 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_2062,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl103_2063,plain,
    ( ( sum @ n4 @ n5 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_2064,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_2065,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl87_2066,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6314,plain,
    ( ( ( sum @ n9 @ n9 )
     != ( sum @ n8 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6282,zip_derived_cl22,zip_derived_cl88,zip_derived_cl6,zip_derived_cl103,zip_derived_cl22,zip_derived_cl6,zip_derived_cl87]) ).

thf(zip_derived_cl6900,plain,
    ( ( n2
     != ( sum @ n8 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl6314]) ).

thf(zip_derived_cl172_2067,plain,
    ( ( sum @ n8 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6905,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6900,zip_derived_cl172]) ).

thf('213',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6905]) ).

thf(zip_derived_cl153_2068,plain,
    ( ( sum @ n7 @ n7 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl429_2069,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6272_2070,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
   <= ( sk__1 = n5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl3124]) ).

thf(zip_derived_cl6280,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl6272]) ).

thf(zip_derived_cl20_2071,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl56_2072,plain,
    ( ( sum @ n1 @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_2073,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl101_2074,plain,
    ( ( sum @ n4 @ n3 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_2075,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_2076,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl53_2077,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6312,plain,
    ( ( ( sum @ n7 @ n7 )
     != ( sum @ n4 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6280,zip_derived_cl20,zip_derived_cl56,zip_derived_cl4,zip_derived_cl101,zip_derived_cl20,zip_derived_cl4,zip_derived_cl53]) ).

thf(zip_derived_cl108_2078,plain,
    ( ( sum @ n4 @ n10 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6413,plain,
    ( ( ( sum @ n7 @ n7 )
     != n14 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6312,zip_derived_cl108]) ).

thf(zip_derived_cl6637,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl6413]) ).

thf('214',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6637]) ).

thf(zip_derived_cl272_2079,plain,
    ( ( sum @ n14 @ n14 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl206_2080,plain,
    ( ( sum @ n10 @ n12 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl438_2081,plain,
    ( ( sk_ = n11 )
   <= ( sk_ = n11 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5759_2082,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl2703]) ).

thf(zip_derived_cl5771,plain,
    ( ( ( sum @ ( sum @ ( pred @ n11 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n11 ) ) )
     != ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl5759]) ).

thf(zip_derived_cl29_2083,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_2084,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl29_2085,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_2086,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5804,plain,
    ( ( ( sum @ ( sum @ n10 @ n4 ) @ ( sum @ n2 @ n12 ) )
     != ( sum @ ( sum @ n10 @ n12 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5771,zip_derived_cl29,zip_derived_cl13,zip_derived_cl29,zip_derived_cl13]) ).

thf(zip_derived_cl78_2087,plain,
    ( ( sum @ n2 @ n12 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6734,plain,
    ( ( ( sum @ ( sum @ n10 @ n4 ) @ n14 )
     != ( sum @ ( sum @ n10 @ n12 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5804,zip_derived_cl78]) ).

thf(zip_derived_cl7074,plain,
    ( ( ( sum @ ( sum @ n10 @ n4 ) @ n14 )
     != ( sum @ n6 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl6734]) ).

thf(zip_derived_cl198_2088,plain,
    ( ( sum @ n10 @ n4 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl136_2089,plain,
    ( ( sum @ n6 @ n6 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7084,plain,
    ( ( ( sum @ n14 @ n14 )
     != n12 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7074,zip_derived_cl198,zip_derived_cl136]) ).

thf(zip_derived_cl7867,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl7084]) ).

thf('215',plain,
    ( ( sk_ != n11 )
    | ( sk__1 != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7867]) ).

thf(zip_derived_cl438_2090,plain,
    ( ( sk_ = n11 )
   <= ( sk_ = n11 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7599_2091,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl4920]) ).

thf(zip_derived_cl7649,plain,
    ( ( ( sum @ ( sum @ ( pred @ n11 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n11 ) ) )
     != ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n12 ) )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl7599]) ).

thf(zip_derived_cl29_2092,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl209,plain,
    ( ( sum @ n10 @ n15 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_2093,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl254,plain,
    ( ( sum @ n13 @ n12 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl187_2094,plain,
    ( ( sum @ n9 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl29_2095,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_2096,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl206_2097,plain,
    ( ( sum @ n10 @ n12 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl142_2098,plain,
    ( ( sum @ n6 @ n12 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7689,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7649,zip_derived_cl29,zip_derived_cl209,zip_derived_cl13,zip_derived_cl254,zip_derived_cl187,zip_derived_cl29,zip_derived_cl13,zip_derived_cl206,zip_derived_cl142]) ).

thf('216',plain,
    ( ( sk_ != n11 )
    | ( sk__1 != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7689]) ).

thf(zip_derived_cl206_2099,plain,
    ( ( sum @ n10 @ n12 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl438_2100,plain,
    ( ( sk_ = n11 )
   <= ( sk_ = n11 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6649_2101,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl3749]) ).

thf(zip_derived_cl6669,plain,
    ( ( ( sum @ ( sum @ ( pred @ n11 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n11 ) ) )
     != ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl6649]) ).

thf(zip_derived_cl29_2102,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_2103,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl29_2104,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_2105,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6702,plain,
    ( ( ( sum @ ( sum @ n10 @ n9 ) @ ( sum @ n7 @ n12 ) )
     != ( sum @ ( sum @ n10 @ n12 ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6669,zip_derived_cl29,zip_derived_cl13,zip_derived_cl29,zip_derived_cl13]) ).

thf(zip_derived_cl158,plain,
    ( ( sum @ n7 @ n12 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7016,plain,
    ( ( ( sum @ ( sum @ n10 @ n9 ) @ n3 )
     != ( sum @ ( sum @ n10 @ n12 ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6702,zip_derived_cl158]) ).

thf(zip_derived_cl7079,plain,
    ( ( ( sum @ ( sum @ n10 @ n9 ) @ n3 )
     != ( sum @ n6 @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl7016]) ).

thf(zip_derived_cl203,plain,
    ( ( sum @ n10 @ n9 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl85_2106,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl130_2107,plain,
    ( ( sum @ n6 @ n0 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7092,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7079,zip_derived_cl203,zip_derived_cl85,zip_derived_cl130]) ).

thf('217',plain,
    ( ( sk_ != n11 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7092]) ).

thf(zip_derived_cl206_2108,plain,
    ( ( sum @ n10 @ n12 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl438_2109,plain,
    ( ( sk_ = n11 )
   <= ( sk_ = n11 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6522_2110,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl3542]) ).

thf(zip_derived_cl6534,plain,
    ( ( ( sum @ ( sum @ ( pred @ n11 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n11 ) ) )
     != ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl6522]) ).

thf(zip_derived_cl29_2111,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_2112,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl29_2113,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_2114,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6567,plain,
    ( ( ( sum @ ( sum @ n10 @ n8 ) @ ( sum @ n6 @ n12 ) )
     != ( sum @ ( sum @ n10 @ n12 ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6534,zip_derived_cl29,zip_derived_cl13,zip_derived_cl29,zip_derived_cl13]) ).

thf(zip_derived_cl142_2115,plain,
    ( ( sum @ n6 @ n12 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6894,plain,
    ( ( ( sum @ ( sum @ n10 @ n8 ) @ n2 )
     != ( sum @ ( sum @ n10 @ n12 ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6567,zip_derived_cl142]) ).

thf(zip_derived_cl7078,plain,
    ( ( ( sum @ ( sum @ n10 @ n8 ) @ n2 )
     != ( sum @ n6 @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl6894]) ).

thf(zip_derived_cl202_2116,plain,
    ( ( sum @ n10 @ n8 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl68_2117,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl144_2118,plain,
    ( ( sum @ n6 @ n14 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7090,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7078,zip_derived_cl202,zip_derived_cl68,zip_derived_cl144]) ).

thf('218',plain,
    ( ( sk_ != n11 )
    | ( sk__1 != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7090]) ).

thf(zip_derived_cl206_2119,plain,
    ( ( sum @ n10 @ n12 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl438_2120,plain,
    ( ( sk_ = n11 )
   <= ( sk_ = n11 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6412_2121,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl3335]) ).

thf(zip_derived_cl6425,plain,
    ( ( ( sum @ ( sum @ ( pred @ n11 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n11 ) ) )
     != ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl6412]) ).

thf(zip_derived_cl29_2122,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_2123,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl29_2124,plain,
    ( ( pred @ n11 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_2125,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6458,plain,
    ( ( ( sum @ ( sum @ n10 @ n7 ) @ ( sum @ n5 @ n12 ) )
     != ( sum @ ( sum @ n10 @ n12 ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6425,zip_derived_cl29,zip_derived_cl13,zip_derived_cl29,zip_derived_cl13]) ).

thf(zip_derived_cl126_2126,plain,
    ( ( sum @ n5 @ n12 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6879,plain,
    ( ( ( sum @ ( sum @ n10 @ n7 ) @ n1 )
     != ( sum @ ( sum @ n10 @ n12 ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6458,zip_derived_cl126]) ).

thf(zip_derived_cl7077,plain,
    ( ( ( sum @ ( sum @ n10 @ n7 ) @ n1 )
     != ( sum @ n6 @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl6879]) ).

thf(zip_derived_cl201_2127,plain,
    ( ( sum @ n10 @ n7 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl51_2128,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl142_2129,plain,
    ( ( sum @ n6 @ n12 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7088,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7077,zip_derived_cl201,zip_derived_cl51,zip_derived_cl142]) ).

thf('219',plain,
    ( ( sk_ != n11 )
    | ( sk__1 != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7088]) ).

thf(zip_derived_cl438_2130,plain,
    ( ( sk_ = n11 )
   <= ( sk_ = n11 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl1741_2131,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ ( pred @ n11 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n11 ) @ n12 ) ) )
   <= ( sk__1 = n11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl527,zip_derived_cl13,zip_derived_cl13]) ).

thf(zip_derived_cl1753,plain,
    ( ( ( sum @ ( sum @ ( pred @ n11 ) @ n12 ) @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) )
     != ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ ( sum @ ( pred @ n11 ) @ n12 ) ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl1741]) ).

thf(zip_derived_cl13_2132,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_2133,plain,
    ( ( succ @ n11 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1785,plain,
    ( ( ( sum @ ( sum @ ( pred @ n11 ) @ n12 ) @ ( sum @ ( pred @ n11 ) @ n12 ) )
     != ( sum @ ( sum @ ( pred @ n11 ) @ n12 ) @ ( sum @ ( pred @ n11 ) @ n12 ) ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1753,zip_derived_cl13,zip_derived_cl13]) ).

thf('220',plain,
    ( ( sk_ != n11 )
    | ( sk__1 != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1785]) ).

thf(zip_derived_cl270_2134,plain,
    ( ( sum @ n14 @ n12 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl434_2135,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7599_2136,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl4920]) ).

thf(zip_derived_cl7645,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n12 ) )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl7599]) ).

thf(zip_derived_cl25_2137,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl145,plain,
    ( ( sum @ n6 @ n15 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_2138,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl250,plain,
    ( ( sum @ n13 @ n8 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl119_2139,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl25_2140,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_2141,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl138_2142,plain,
    ( ( sum @ n6 @ n8 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7682,plain,
    ( ( n10
     != ( sum @ n14 @ n12 ) )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7645,zip_derived_cl25,zip_derived_cl145,zip_derived_cl9,zip_derived_cl250,zip_derived_cl119,zip_derived_cl25,zip_derived_cl9,zip_derived_cl138]) ).

thf(zip_derived_cl7844,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl270,zip_derived_cl7682]) ).

thf('221',plain,
    ( ( sk__1 != n14 )
    | ( sk_ != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7844]) ).

thf(zip_derived_cl436_2143,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7599_2144,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl4920]) ).

thf(zip_derived_cl7647,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n12 ) )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl7599]) ).

thf(zip_derived_cl27_2145,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl177_2146,plain,
    ( ( sum @ n8 @ n15 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_2147,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl252_2148,plain,
    ( ( sum @ n13 @ n10 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl153_2149,plain,
    ( ( sum @ n7 @ n7 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl27_2150,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_2151,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl172_2152,plain,
    ( ( sum @ n8 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl78_2153,plain,
    ( ( sum @ n2 @ n12 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7685,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7647,zip_derived_cl27,zip_derived_cl177,zip_derived_cl11,zip_derived_cl252,zip_derived_cl153,zip_derived_cl27,zip_derived_cl11,zip_derived_cl172,zip_derived_cl78]) ).

thf('222',plain,
    ( ( sk__1 != n14 )
    | ( sk_ != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7685]) ).

thf(zip_derived_cl435_2154,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7599_2155,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl4920]) ).

thf(zip_derived_cl7646,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n12 ) )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl7599]) ).

thf(zip_derived_cl26_2156,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl161,plain,
    ( ( sum @ n7 @ n15 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_2157,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl251,plain,
    ( ( sum @ n13 @ n9 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl136_2158,plain,
    ( ( sum @ n6 @ n6 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_2159,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_2160,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl155_2161,plain,
    ( ( sum @ n7 @ n9 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl46_2162,plain,
    ( ( sum @ n0 @ n12 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7683,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7646,zip_derived_cl26,zip_derived_cl161,zip_derived_cl10,zip_derived_cl251,zip_derived_cl136,zip_derived_cl26,zip_derived_cl10,zip_derived_cl155,zip_derived_cl46]) ).

thf('223',plain,
    ( ( sk__1 != n14 )
    | ( sk_ != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7683]) ).

thf(zip_derived_cl431_2163,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7599_2164,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl4920]) ).

thf(zip_derived_cl7642,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n12 ) )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl7599]) ).

thf(zip_derived_cl22_2165,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl97_2166,plain,
    ( ( sum @ n3 @ n15 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_2167,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl247_2168,plain,
    ( ( sum @ n13 @ n5 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl68_2169,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_2170,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_2171,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl87_2172,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl174_2173,plain,
    ( ( sum @ n8 @ n12 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7676,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7642,zip_derived_cl22,zip_derived_cl97,zip_derived_cl6,zip_derived_cl247,zip_derived_cl68,zip_derived_cl22,zip_derived_cl6,zip_derived_cl87,zip_derived_cl174]) ).

thf('224',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7676]) ).

thf(zip_derived_cl429_2174,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7599_2175,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl4920]) ).

thf(zip_derived_cl7640,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n12 ) )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl7599]) ).

thf(zip_derived_cl20_2176,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl65_2177,plain,
    ( ( sum @ n1 @ n15 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_2178,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl245_2179,plain,
    ( ( sum @ n13 @ n3 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl34_2180,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_2181,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_2182,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl53_2183,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl110_2184,plain,
    ( ( sum @ n4 @ n12 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7672,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7640,zip_derived_cl20,zip_derived_cl65,zip_derived_cl4,zip_derived_cl245,zip_derived_cl34,zip_derived_cl20,zip_derived_cl4,zip_derived_cl53,zip_derived_cl110]) ).

thf('225',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7672]) ).

thf(zip_derived_cl441_2185,plain,
    ( ( sk_ = n14 )
   <= ( sk_ = n14 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl1937_2186,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ ( pred @ n14 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n14 ) @ n15 ) ) )
   <= ( sk__1 = n14 ) ),
    inference(demod,[status(thm)],[zip_derived_cl569,zip_derived_cl16,zip_derived_cl16]) ).

thf(zip_derived_cl1952,plain,
    ( ( ( sum @ ( sum @ ( pred @ n14 ) @ n15 ) @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) )
     != ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ ( sum @ ( pred @ n14 ) @ n15 ) ) )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl1937]) ).

thf(zip_derived_cl16_2187,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_2188,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1984,plain,
    ( ( ( sum @ ( sum @ ( pred @ n14 ) @ n15 ) @ ( sum @ ( pred @ n14 ) @ n15 ) )
     != ( sum @ ( sum @ ( pred @ n14 ) @ n15 ) @ ( sum @ ( pred @ n14 ) @ n15 ) ) )
   <= ( ( sk__1 = n14 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1952,zip_derived_cl16,zip_derived_cl16]) ).

thf('226',plain,
    ( ( sk__1 != n14 )
    | ( sk_ != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1984]) ).

thf(zip_derived_cl289_2189,plain,
    ( ( sum @ n15 @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl155_2190,plain,
    ( ( sum @ n7 @ n9 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl435_2191,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6522_2192,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl3542]) ).

thf(zip_derived_cl6531,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl6522]) ).

thf(zip_derived_cl26_2193,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_2194,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl139,plain,
    ( ( sum @ n6 @ n9 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_2195,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_2196,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6564,plain,
    ( ( ( sum @ ( sum @ n7 @ n8 ) @ n15 )
     != ( sum @ ( sum @ n7 @ n9 ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6531,zip_derived_cl26,zip_derived_cl10,zip_derived_cl139,zip_derived_cl26,zip_derived_cl10]) ).

thf(zip_derived_cl6650,plain,
    ( ( ( sum @ ( sum @ n7 @ n8 ) @ n15 )
     != ( sum @ n0 @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl6564]) ).

thf(zip_derived_cl154,plain,
    ( ( sum @ n7 @ n8 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl48_2197,plain,
    ( ( sum @ n0 @ n14 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6654,plain,
    ( ( ( sum @ n15 @ n15 )
     != n14 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6650,zip_derived_cl154,zip_derived_cl48]) ).

thf(zip_derived_cl8096,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl6654]) ).

thf('227',plain,
    ( ( sk_ != n8 )
    | ( sk__1 != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8096]) ).

thf(zip_derived_cl272_2198,plain,
    ( ( sum @ n14 @ n14 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl435_2199,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6412_2200,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl3335]) ).

thf(zip_derived_cl6422,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl6412]) ).

thf(zip_derived_cl26_2201,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_2202,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_2203,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_2204,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6455,plain,
    ( ( ( sum @ ( sum @ n7 @ n7 ) @ ( sum @ n5 @ n9 ) )
     != ( sum @ ( sum @ n7 @ n9 ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6422,zip_derived_cl26,zip_derived_cl10,zip_derived_cl26,zip_derived_cl10]) ).

thf(zip_derived_cl153_2205,plain,
    ( ( sum @ n7 @ n7 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl123_2206,plain,
    ( ( sum @ n5 @ n9 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl155_2207,plain,
    ( ( sum @ n7 @ n9 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl46_2208,plain,
    ( ( sum @ n0 @ n12 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6876,plain,
    ( ( ( sum @ n14 @ n14 )
     != n12 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6455,zip_derived_cl153,zip_derived_cl123,zip_derived_cl155,zip_derived_cl46]) ).

thf(zip_derived_cl7864,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl6876]) ).

thf('228',plain,
    ( ( sk_ != n8 )
    | ( sk__1 != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7864]) ).

thf(zip_derived_cl221_2209,plain,
    ( ( sum @ n11 @ n11 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl435_2210,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5759_2211,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl2703]) ).

thf(zip_derived_cl5768,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl5759]) ).

thf(zip_derived_cl26_2212,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_2213,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_2214,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_2215,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5801,plain,
    ( ( ( sum @ ( sum @ n7 @ n4 ) @ ( sum @ n2 @ n9 ) )
     != ( sum @ ( sum @ n7 @ n9 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5768,zip_derived_cl26,zip_derived_cl10,zip_derived_cl26,zip_derived_cl10]) ).

thf(zip_derived_cl150_2216,plain,
    ( ( sum @ n7 @ n4 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl75_2217,plain,
    ( ( sum @ n2 @ n9 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl155_2218,plain,
    ( ( sum @ n7 @ n9 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl40_2219,plain,
    ( ( sum @ n0 @ n6 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6731,plain,
    ( ( ( sum @ n11 @ n11 )
     != n6 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5801,zip_derived_cl150,zip_derived_cl75,zip_derived_cl155,zip_derived_cl40]) ).

thf(zip_derived_cl7218,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl6731]) ).

thf('229',plain,
    ( ( sk_ != n8 )
    | ( sk__1 != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7218]) ).

thf(zip_derived_cl435_2220,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7071_2221,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl4367]) ).

thf(zip_derived_cl7106,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl7071]) ).

thf(zip_derived_cl26_2222,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl158_2223,plain,
    ( ( sum @ n7 @ n12 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_2224,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl203_2225,plain,
    ( ( sum @ n10 @ n9 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl85_2226,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_2227,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_2228,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl155_2229,plain,
    ( ( sum @ n7 @ n9 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl40_2230,plain,
    ( ( sum @ n0 @ n6 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7139,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7106,zip_derived_cl26,zip_derived_cl158,zip_derived_cl10,zip_derived_cl203,zip_derived_cl85,zip_derived_cl26,zip_derived_cl10,zip_derived_cl155,zip_derived_cl40]) ).

thf('230',plain,
    ( ( sk_ != n8 )
    | ( sk__1 != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7139]) ).

thf(zip_derived_cl435_2231,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl1553_2232,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ ( pred @ n8 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n8 ) @ n9 ) ) )
   <= ( sk__1 = n8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl491,zip_derived_cl10,zip_derived_cl10]) ).

thf(zip_derived_cl1562,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n9 ) @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ ( sum @ ( pred @ n8 ) @ n9 ) ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl1553]) ).

thf(zip_derived_cl10_2233,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_2234,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1594,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n9 ) @ ( sum @ ( pred @ n8 ) @ n9 ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ n9 ) @ ( sum @ ( pred @ n8 ) @ n9 ) ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl10,zip_derived_cl10]) ).

thf('231',plain,
    ( ( sk_ != n8 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1594]) ).

thf(zip_derived_cl289_2235,plain,
    ( ( sum @ n15 @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl436_2236,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6412_2237,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl3335]) ).

thf(zip_derived_cl6423,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl6412]) ).

thf(zip_derived_cl27_2238,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_2239,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl27_2240,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_2241,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6456,plain,
    ( ( ( sum @ ( sum @ n8 @ n7 ) @ ( sum @ n5 @ n10 ) )
     != ( sum @ ( sum @ n8 @ n10 ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6423,zip_derived_cl27,zip_derived_cl11,zip_derived_cl27,zip_derived_cl11]) ).

thf(zip_derived_cl169_2242,plain,
    ( ( sum @ n8 @ n7 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl124_2243,plain,
    ( ( sum @ n5 @ n10 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl172_2244,plain,
    ( ( sum @ n8 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl78_2245,plain,
    ( ( sum @ n2 @ n12 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6877,plain,
    ( ( ( sum @ n15 @ n15 )
     != n14 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6456,zip_derived_cl169,zip_derived_cl124,zip_derived_cl172,zip_derived_cl78]) ).

thf(zip_derived_cl8099,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl6877]) ).

thf('232',plain,
    ( ( sk__1 != n6 )
    | ( sk_ != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8099]) ).

thf(zip_derived_cl270_2246,plain,
    ( ( sum @ n14 @ n12 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl434_2247,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6412_2248,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl3335]) ).

thf(zip_derived_cl6421,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl6412]) ).

thf(zip_derived_cl25_2249,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_2250,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl25_2251,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_2252,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6454,plain,
    ( ( ( sum @ ( sum @ n6 @ n7 ) @ ( sum @ n5 @ n8 ) )
     != ( sum @ ( sum @ n6 @ n8 ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6421,zip_derived_cl25,zip_derived_cl9,zip_derived_cl25,zip_derived_cl9]) ).

thf(zip_derived_cl137_2253,plain,
    ( ( sum @ n6 @ n7 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl122_2254,plain,
    ( ( sum @ n5 @ n8 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl138_2255,plain,
    ( ( sum @ n6 @ n8 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6875,plain,
    ( ( ( sum @ n13 @ n13 )
     != ( sum @ n14 @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6454,zip_derived_cl137,zip_derived_cl122,zip_derived_cl138]) ).

thf(zip_derived_cl7842,plain,
    ( ( ( sum @ n13 @ n13 )
     != n10 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl270,zip_derived_cl6875]) ).

thf(zip_derived_cl255_2256,plain,
    ( ( sum @ n13 @ n13 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7845,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7842,zip_derived_cl255]) ).

thf('233',plain,
    ( ( sk__1 != n6 )
    | ( sk_ != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7845]) ).

thf(zip_derived_cl257_2257,plain,
    ( ( sum @ n13 @ n15 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl441_2258,plain,
    ( ( sk_ = n14 )
   <= ( sk_ = n14 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6412_2259,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl3335]) ).

thf(zip_derived_cl6428,plain,
    ( ( ( sum @ ( sum @ ( pred @ n14 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n14 ) ) )
     != ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl6412]) ).

thf(zip_derived_cl32_2260,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_2261,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl32_2262,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_2263,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6461,plain,
    ( ( ( sum @ ( sum @ n13 @ n7 ) @ ( sum @ n5 @ n15 ) )
     != ( sum @ ( sum @ n13 @ n15 ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6428,zip_derived_cl32,zip_derived_cl16,zip_derived_cl32,zip_derived_cl16]) ).

thf(zip_derived_cl129_2264,plain,
    ( ( sum @ n5 @ n15 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6882,plain,
    ( ( ( sum @ ( sum @ n13 @ n7 ) @ n4 )
     != ( sum @ ( sum @ n13 @ n15 ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6461,zip_derived_cl129]) ).

thf(zip_derived_cl7605,plain,
    ( ( ( sum @ ( sum @ n13 @ n7 ) @ n4 )
     != ( sum @ n12 @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl6882]) ).

thf(zip_derived_cl249_2265,plain,
    ( ( sum @ n13 @ n7 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl102_2266,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl238_2267,plain,
    ( ( sum @ n12 @ n12 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7622,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7605,zip_derived_cl249,zip_derived_cl102,zip_derived_cl238]) ).

thf('234',plain,
    ( ( sk__1 != n6 )
    | ( sk_ != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7622]) ).

thf(zip_derived_cl204_2268,plain,
    ( ( sum @ n10 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl431_2269,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6412_2270,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl3335]) ).

thf(zip_derived_cl6418,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl6412]) ).

thf(zip_derived_cl22_2271,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl89_2272,plain,
    ( ( sum @ n3 @ n7 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_2273,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl119_2274,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_2275,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_2276,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl87_2277,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6450,plain,
    ( ( ( sum @ n10 @ n10 )
     != ( sum @ n8 @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6418,zip_derived_cl22,zip_derived_cl89,zip_derived_cl6,zip_derived_cl119,zip_derived_cl22,zip_derived_cl6,zip_derived_cl87]) ).

thf(zip_derived_cl7054,plain,
    ( ( n4
     != ( sum @ n8 @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl6450]) ).

thf(zip_derived_cl174_2278,plain,
    ( ( sum @ n8 @ n12 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7060,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7054,zip_derived_cl174]) ).

thf('235',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7060]) ).

thf(zip_derived_cl170_2279,plain,
    ( ( sum @ n8 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl429_2280,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6412_2281,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl3335]) ).

thf(zip_derived_cl6416,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n12 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl6412]) ).

thf(zip_derived_cl20_2282,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl57_2283,plain,
    ( ( sum @ n1 @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_2284,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl117_2285,plain,
    ( ( sum @ n5 @ n3 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_2286,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_2287,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl53_2288,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl110_2289,plain,
    ( ( sum @ n4 @ n12 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6448,plain,
    ( ( ( sum @ n8 @ n8 )
     != n0 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6416,zip_derived_cl20,zip_derived_cl57,zip_derived_cl4,zip_derived_cl117,zip_derived_cl20,zip_derived_cl4,zip_derived_cl53,zip_derived_cl110]) ).

thf(zip_derived_cl6771,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl6448]) ).

thf('236',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6771]) ).

thf(zip_derived_cl289_2290,plain,
    ( ( sum @ n15 @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl434_2291,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6649_2292,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl3749]) ).

thf(zip_derived_cl6665,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl6649]) ).

thf(zip_derived_cl25_2293,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl139_2294,plain,
    ( ( sum @ n6 @ n9 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_2295,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl154_2296,plain,
    ( ( sum @ n7 @ n8 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl25_2297,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_2298,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl138_2299,plain,
    ( ( sum @ n6 @ n8 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6697,plain,
    ( ( ( sum @ n15 @ n15 )
     != ( sum @ n14 @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6665,zip_derived_cl25,zip_derived_cl139,zip_derived_cl9,zip_derived_cl154,zip_derived_cl25,zip_derived_cl9,zip_derived_cl138]) ).

thf(zip_derived_cl8097,plain,
    ( ( n14
     != ( sum @ n14 @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl6697]) ).

thf(zip_derived_cl258_2300,plain,
    ( ( sum @ n14 @ n0 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8112,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl8097,zip_derived_cl258]) ).

thf('237',plain,
    ( ( sk_ != n7 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8112]) ).

thf(zip_derived_cl264_2301,plain,
    ( ( sum @ n14 @ n6 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl434_2302,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7071_2303,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl4367]) ).

thf(zip_derived_cl7105,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl7071]) ).

thf(zip_derived_cl25_2304,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl142_2305,plain,
    ( ( sum @ n6 @ n12 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_2306,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl202_2307,plain,
    ( ( sum @ n10 @ n8 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl68_2308,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl25_2309,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_2310,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl138_2311,plain,
    ( ( sum @ n6 @ n8 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7138,plain,
    ( ( n4
     != ( sum @ n14 @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7105,zip_derived_cl25,zip_derived_cl142,zip_derived_cl9,zip_derived_cl202,zip_derived_cl68,zip_derived_cl25,zip_derived_cl9,zip_derived_cl138]) ).

thf(zip_derived_cl7814,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl7138]) ).

thf('238',plain,
    ( ( sk_ != n7 )
    | ( sk__1 != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7814]) ).

thf(zip_derived_cl264_2312,plain,
    ( ( sum @ n14 @ n6 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl434_2313,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5759_2314,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl2703]) ).

thf(zip_derived_cl5767,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl5759]) ).

thf(zip_derived_cl25_2315,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_2316,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl25_2317,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_2318,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5800,plain,
    ( ( ( sum @ ( sum @ n6 @ n4 ) @ ( sum @ n2 @ n8 ) )
     != ( sum @ ( sum @ n6 @ n8 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5767,zip_derived_cl25,zip_derived_cl9,zip_derived_cl25,zip_derived_cl9]) ).

thf(zip_derived_cl134_2319,plain,
    ( ( sum @ n6 @ n4 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl74_2320,plain,
    ( ( sum @ n2 @ n8 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl138_2321,plain,
    ( ( sum @ n6 @ n8 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6730,plain,
    ( ( ( sum @ n10 @ n10 )
     != ( sum @ n14 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5800,zip_derived_cl134,zip_derived_cl74,zip_derived_cl138]) ).

thf(zip_derived_cl7813,plain,
    ( ( ( sum @ n10 @ n10 )
     != n4 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl6730]) ).

thf(zip_derived_cl204_2322,plain,
    ( ( sum @ n10 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7816,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7813,zip_derived_cl204]) ).

thf('239',plain,
    ( ( sk_ != n7 )
    | ( sk__1 != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7816]) ).

thf(zip_derived_cl434_2323,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl1429_2324,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ ( pred @ n7 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n7 ) @ n8 ) ) )
   <= ( sk__1 = n7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl482,zip_derived_cl9,zip_derived_cl9]) ).

thf(zip_derived_cl1437,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n8 ) @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ ( sum @ ( pred @ n7 ) @ n8 ) ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl1429]) ).

thf(zip_derived_cl9_2325,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_2326,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1469,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n8 ) @ ( sum @ ( pred @ n7 ) @ n8 ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ n8 ) @ ( sum @ ( pred @ n7 ) @ n8 ) ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1437,zip_derived_cl9,zip_derived_cl9]) ).

thf('240',plain,
    ( ( sk_ != n7 )
    | ( sk__1 != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1469]) ).

thf(zip_derived_cl257_2327,plain,
    ( ( sum @ n13 @ n15 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl441_2328,plain,
    ( ( sk_ = n14 )
   <= ( sk_ = n14 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6522_2329,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl3542]) ).

thf(zip_derived_cl6537,plain,
    ( ( ( sum @ ( sum @ ( pred @ n14 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n14 ) ) )
     != ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl6522]) ).

thf(zip_derived_cl32_2330,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_2331,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl32_2332,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_2333,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6570,plain,
    ( ( ( sum @ ( sum @ n13 @ n8 ) @ ( sum @ n6 @ n15 ) )
     != ( sum @ ( sum @ n13 @ n15 ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6537,zip_derived_cl32,zip_derived_cl16,zip_derived_cl32,zip_derived_cl16]) ).

thf(zip_derived_cl145_2334,plain,
    ( ( sum @ n6 @ n15 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6897,plain,
    ( ( ( sum @ ( sum @ n13 @ n8 ) @ n5 )
     != ( sum @ ( sum @ n13 @ n15 ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6570,zip_derived_cl145]) ).

thf(zip_derived_cl7606,plain,
    ( ( ( sum @ ( sum @ n13 @ n8 ) @ n5 )
     != ( sum @ n12 @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl6897]) ).

thf(zip_derived_cl250_2335,plain,
    ( ( sum @ n13 @ n8 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl119_2336,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl240_2337,plain,
    ( ( sum @ n12 @ n14 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7624,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7606,zip_derived_cl250,zip_derived_cl119,zip_derived_cl240]) ).

thf('241',plain,
    ( ( sk__1 != n7 )
    | ( sk_ != n14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7624]) ).

thf(zip_derived_cl221_2338,plain,
    ( ( sum @ n11 @ n11 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl431_2339,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6522_2340,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl3542]) ).

thf(zip_derived_cl6527,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl6522]) ).

thf(zip_derived_cl22_2341,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl90_2342,plain,
    ( ( sum @ n3 @ n8 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_2343,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl135_2344,plain,
    ( ( sum @ n6 @ n5 )
    = n11 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_2345,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_2346,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl87_2347,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6559,plain,
    ( ( ( sum @ n11 @ n11 )
     != ( sum @ n8 @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6527,zip_derived_cl22,zip_derived_cl90,zip_derived_cl6,zip_derived_cl135,zip_derived_cl22,zip_derived_cl6,zip_derived_cl87]) ).

thf(zip_derived_cl7216,plain,
    ( ( n6
     != ( sum @ n8 @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl6559]) ).

thf(zip_derived_cl176_2348,plain,
    ( ( sum @ n8 @ n14 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7225,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7216,zip_derived_cl176]) ).

thf('242',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7225]) ).

thf(zip_derived_cl187_2349,plain,
    ( ( sum @ n9 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl429_2350,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6522_2351,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl3542]) ).

thf(zip_derived_cl6525,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl6522]) ).

thf(zip_derived_cl20_2352,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl58_2353,plain,
    ( ( sum @ n1 @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_2354,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl133_2355,plain,
    ( ( sum @ n6 @ n3 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_2356,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_2357,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl53_2358,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl112_2359,plain,
    ( ( sum @ n4 @ n14 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6557,plain,
    ( ( ( sum @ n9 @ n9 )
     != n2 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6525,zip_derived_cl20,zip_derived_cl58,zip_derived_cl4,zip_derived_cl133,zip_derived_cl20,zip_derived_cl4,zip_derived_cl53,zip_derived_cl112]) ).

thf(zip_derived_cl6902,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl6557]) ).

thf('243',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6902]) ).

thf(zip_derived_cl436_2360,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6522_2361,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl3542]) ).

thf(zip_derived_cl6532,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl6522]) ).

thf(zip_derived_cl27_2362,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_2363,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl27_2364,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_2365,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6565,plain,
    ( ( ( sum @ ( sum @ n8 @ n8 ) @ ( sum @ n6 @ n10 ) )
     != ( sum @ ( sum @ n8 @ n10 ) @ n14 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6532,zip_derived_cl27,zip_derived_cl11,zip_derived_cl27,zip_derived_cl11]) ).

thf(zip_derived_cl170_2366,plain,
    ( ( sum @ n8 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl140_2367,plain,
    ( ( sum @ n6 @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl34_2368,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl172_2369,plain,
    ( ( sum @ n8 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl80_2370,plain,
    ( ( sum @ n2 @ n14 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6891,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6565,zip_derived_cl170,zip_derived_cl140,zip_derived_cl34,zip_derived_cl172,zip_derived_cl80]) ).

thf('244',plain,
    ( ( sk__1 != n7 )
    | ( sk_ != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6891]) ).

thf(zip_derived_cl257_2371,plain,
    ( ( sum @ n13 @ n15 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl441_2372,plain,
    ( ( sk_ = n14 )
   <= ( sk_ = n14 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7071_2373,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl4367]) ).

thf(zip_derived_cl7112,plain,
    ( ( ( sum @ ( sum @ ( pred @ n14 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n14 ) ) )
     != ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl7071]) ).

thf(zip_derived_cl32_2374,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_2375,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl32_2376,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_2377,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7149,plain,
    ( ( ( sum @ ( sum @ n13 @ n12 ) @ ( sum @ n10 @ n15 ) )
     != ( sum @ ( sum @ n13 @ n15 ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7112,zip_derived_cl32,zip_derived_cl16,zip_derived_cl32,zip_derived_cl16]) ).

thf(zip_derived_cl209_2378,plain,
    ( ( sum @ n10 @ n15 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7173,plain,
    ( ( ( sum @ ( sum @ n13 @ n12 ) @ n9 )
     != ( sum @ ( sum @ n13 @ n15 ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7149,zip_derived_cl209]) ).

thf(zip_derived_cl7610,plain,
    ( ( ( sum @ ( sum @ n13 @ n12 ) @ n9 )
     != ( sum @ n12 @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl7173]) ).

thf(zip_derived_cl254_2379,plain,
    ( ( sum @ n13 @ n12 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl187_2380,plain,
    ( ( sum @ n9 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl232_2381,plain,
    ( ( sum @ n12 @ n6 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7632,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7610,zip_derived_cl254,zip_derived_cl187,zip_derived_cl232]) ).

thf('245',plain,
    ( ( sk_ != n14 )
    | ( sk__1 != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7632]) ).

thf(zip_derived_cl257_2382,plain,
    ( ( sum @ n13 @ n15 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl441_2383,plain,
    ( ( sk_ = n14 )
   <= ( sk_ = n14 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6649_2384,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl3749]) ).

thf(zip_derived_cl6672,plain,
    ( ( ( sum @ ( sum @ ( pred @ n14 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n14 ) ) )
     != ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl6649]) ).

thf(zip_derived_cl32_2385,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_2386,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl32_2387,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_2388,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6705,plain,
    ( ( ( sum @ ( sum @ n13 @ n9 ) @ ( sum @ n7 @ n15 ) )
     != ( sum @ ( sum @ n13 @ n15 ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6672,zip_derived_cl32,zip_derived_cl16,zip_derived_cl32,zip_derived_cl16]) ).

thf(zip_derived_cl161_2389,plain,
    ( ( sum @ n7 @ n15 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7022,plain,
    ( ( ( sum @ ( sum @ n13 @ n9 ) @ n6 )
     != ( sum @ ( sum @ n13 @ n15 ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6705,zip_derived_cl161]) ).

thf(zip_derived_cl7607,plain,
    ( ( ( sum @ ( sum @ n13 @ n9 ) @ n6 )
     != ( sum @ n12 @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl7022]) ).

thf(zip_derived_cl251_2390,plain,
    ( ( sum @ n13 @ n9 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl136_2391,plain,
    ( ( sum @ n6 @ n6 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl226_2392,plain,
    ( ( sum @ n12 @ n0 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7626,plain,
    ( ( n12 != n12 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7607,zip_derived_cl251,zip_derived_cl136,zip_derived_cl226]) ).

thf('246',plain,
    ( ( sk_ != n14 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7626]) ).

thf(zip_derived_cl257_2393,plain,
    ( ( sum @ n13 @ n15 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl441_2394,plain,
    ( ( sk_ = n14 )
   <= ( sk_ = n14 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5759_2395,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl2703]) ).

thf(zip_derived_cl5774,plain,
    ( ( ( sum @ ( sum @ ( pred @ n14 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n14 ) ) )
     != ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl5759]) ).

thf(zip_derived_cl32_2396,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_2397,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl32_2398,plain,
    ( ( pred @ n14 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_2399,plain,
    ( ( succ @ n14 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5807,plain,
    ( ( ( sum @ ( sum @ n13 @ n4 ) @ ( sum @ n2 @ n15 ) )
     != ( sum @ ( sum @ n13 @ n15 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5774,zip_derived_cl32,zip_derived_cl16,zip_derived_cl32,zip_derived_cl16]) ).

thf(zip_derived_cl81_2400,plain,
    ( ( sum @ n2 @ n15 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6737,plain,
    ( ( ( sum @ ( sum @ n13 @ n4 ) @ n1 )
     != ( sum @ ( sum @ n13 @ n15 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5807,zip_derived_cl81]) ).

thf(zip_derived_cl7602,plain,
    ( ( ( sum @ ( sum @ n13 @ n4 ) @ n1 )
     != ( sum @ n12 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl6737]) ).

thf(zip_derived_cl246_2401,plain,
    ( ( sum @ n13 @ n4 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl51_2402,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl232_2403,plain,
    ( ( sum @ n12 @ n6 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7616,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7602,zip_derived_cl246,zip_derived_cl51,zip_derived_cl232]) ).

thf('247',plain,
    ( ( sk_ != n14 )
    | ( sk__1 != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7616]) ).

thf(zip_derived_cl238_2404,plain,
    ( ( sum @ n12 @ n12 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl431_2405,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6649_2406,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl3749]) ).

thf(zip_derived_cl6662,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl6649]) ).

thf(zip_derived_cl22_2407,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl91_2408,plain,
    ( ( sum @ n3 @ n9 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_2409,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl151_2410,plain,
    ( ( sum @ n7 @ n5 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_2411,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_2412,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl87_2413,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6694,plain,
    ( ( ( sum @ n12 @ n12 )
     != ( sum @ n8 @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6662,zip_derived_cl22,zip_derived_cl91,zip_derived_cl6,zip_derived_cl151,zip_derived_cl22,zip_derived_cl6,zip_derived_cl87]) ).

thf(zip_derived_cl7398,plain,
    ( ( n8
     != ( sum @ n8 @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl6694]) ).

thf(zip_derived_cl162_2414,plain,
    ( ( sum @ n8 @ n0 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7408,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7398,zip_derived_cl162]) ).

thf('248',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7408]) ).

thf(zip_derived_cl204_2415,plain,
    ( ( sum @ n10 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl429_2416,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6649_2417,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl3749]) ).

thf(zip_derived_cl6660,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl6649]) ).

thf(zip_derived_cl20_2418,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl59_2419,plain,
    ( ( sum @ n1 @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_2420,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl149_2421,plain,
    ( ( sum @ n7 @ n3 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_2422,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_2423,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl53_2424,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl98_2425,plain,
    ( ( sum @ n4 @ n0 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6692,plain,
    ( ( ( sum @ n10 @ n10 )
     != n4 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6660,zip_derived_cl20,zip_derived_cl59,zip_derived_cl4,zip_derived_cl149,zip_derived_cl20,zip_derived_cl4,zip_derived_cl53,zip_derived_cl98]) ).

thf(zip_derived_cl7057,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl6692]) ).

thf('249',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7057]) ).

thf(zip_derived_cl436_2426,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl6649_2427,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl3749]) ).

thf(zip_derived_cl6667,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl6649]) ).

thf(zip_derived_cl27_2428,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_2429,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl27_2430,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_2431,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6700,plain,
    ( ( ( sum @ ( sum @ n8 @ n9 ) @ ( sum @ n7 @ n10 ) )
     != ( sum @ ( sum @ n8 @ n10 ) @ n0 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6667,zip_derived_cl27,zip_derived_cl11,zip_derived_cl27,zip_derived_cl11]) ).

thf(zip_derived_cl171_2432,plain,
    ( ( sum @ n8 @ n9 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl156_2433,plain,
    ( ( sum @ n7 @ n10 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl51_2434,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl172_2435,plain,
    ( ( sum @ n8 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl66_2436,plain,
    ( ( sum @ n2 @ n0 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7012,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6700,zip_derived_cl171,zip_derived_cl156,zip_derived_cl51,zip_derived_cl172,zip_derived_cl66]) ).

thf('250',plain,
    ( ( sk__1 != n8 )
    | ( sk_ != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7012]) ).

thf(zip_derived_cl238_2437,plain,
    ( ( sum @ n12 @ n12 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl172_2438,plain,
    ( ( sum @ n8 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl436_2439,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5759_2440,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl2703]) ).

thf(zip_derived_cl5769,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl5759]) ).

thf(zip_derived_cl27_2441,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_2442,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl27_2443,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_2444,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5802,plain,
    ( ( ( sum @ ( sum @ n8 @ n4 ) @ ( sum @ n2 @ n10 ) )
     != ( sum @ ( sum @ n8 @ n10 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5769,zip_derived_cl27,zip_derived_cl11,zip_derived_cl27,zip_derived_cl11]) ).

thf(zip_derived_cl76_2445,plain,
    ( ( sum @ n2 @ n10 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6732,plain,
    ( ( ( sum @ ( sum @ n8 @ n4 ) @ n12 )
     != ( sum @ ( sum @ n8 @ n10 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5802,zip_derived_cl76]) ).

thf(zip_derived_cl6786,plain,
    ( ( ( sum @ ( sum @ n8 @ n4 ) @ n12 )
     != ( sum @ n2 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl6732]) ).

thf(zip_derived_cl166_2446,plain,
    ( ( sum @ n8 @ n4 )
    = n12 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl72_2447,plain,
    ( ( sum @ n2 @ n6 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6790,plain,
    ( ( ( sum @ n12 @ n12 )
     != n8 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6786,zip_derived_cl166,zip_derived_cl72]) ).

thf(zip_derived_cl7400,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl6790]) ).

thf('251',plain,
    ( ( sk_ != n9 )
    | ( sk__1 != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7400]) ).

thf(zip_derived_cl436_2448,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7071_2449,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl4367]) ).

thf(zip_derived_cl7107,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl7071]) ).

thf(zip_derived_cl27_2450,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl174_2451,plain,
    ( ( sum @ n8 @ n12 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_2452,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl204_2453,plain,
    ( ( sum @ n10 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl102_2454,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl27_2455,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_2456,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl172_2457,plain,
    ( ( sum @ n8 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl72_2458,plain,
    ( ( sum @ n2 @ n6 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7141,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7107,zip_derived_cl27,zip_derived_cl174,zip_derived_cl11,zip_derived_cl204,zip_derived_cl102,zip_derived_cl27,zip_derived_cl11,zip_derived_cl172,zip_derived_cl72]) ).

thf('252',plain,
    ( ( sk_ != n9 )
    | ( sk__1 != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7141]) ).

thf(zip_derived_cl289_2459,plain,
    ( ( sum @ n15 @ n15 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl431_2460,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7071_2461,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl4367]) ).

thf(zip_derived_cl7102,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl7071]) ).

thf(zip_derived_cl22_2462,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl94_2463,plain,
    ( ( sum @ n3 @ n12 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_2464,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl199_2465,plain,
    ( ( sum @ n10 @ n5 )
    = n15 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_2466,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_2467,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl87_2468,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl168_2469,plain,
    ( ( sum @ n8 @ n6 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7134,plain,
    ( ( ( sum @ n15 @ n15 )
     != n14 )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7102,zip_derived_cl22,zip_derived_cl94,zip_derived_cl6,zip_derived_cl199,zip_derived_cl22,zip_derived_cl6,zip_derived_cl87,zip_derived_cl168]) ).

thf(zip_derived_cl8103,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl7134]) ).

thf('253',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8103]) ).

thf(zip_derived_cl255_2470,plain,
    ( ( sum @ n13 @ n13 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl429_2471,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl7071_2472,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl4367]) ).

thf(zip_derived_cl7100,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n6 ) )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl7071]) ).

thf(zip_derived_cl20_2473,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl62_2474,plain,
    ( ( sum @ n1 @ n12 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_2475,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl197_2476,plain,
    ( ( sum @ n10 @ n3 )
    = n13 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_2477,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_2478,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl53_2479,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl104_2480,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7132,plain,
    ( ( ( sum @ n13 @ n13 )
     != n10 )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7100,zip_derived_cl20,zip_derived_cl62,zip_derived_cl4,zip_derived_cl197,zip_derived_cl20,zip_derived_cl4,zip_derived_cl53,zip_derived_cl104]) ).

thf(zip_derived_cl7583,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n11 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl7132]) ).

thf('254',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7583]) ).

thf('255',plain,
    ( ( sk__1 = n3 )
    | ( sk__1 = n11 )
    | ( sk__1 = n2 )
    | ( sk__1 = n1 )
    | ( sk__1 = n4 )
    | ( sk__1 = n9 )
    | ( sk__1 = n13 )
    | ( sk__1 = n10 )
    | ( sk__1 = n15 )
    | ( sk__1 = n12 )
    | ( sk__1 = n0 )
    | ( sk__1 = n5 )
    | ( sk__1 = n14 )
    | ( sk__1 = n6 )
    | ( sk__1 = n7 )
    | ( sk__1 = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl168_2481,plain,
    ( ( sum @ n8 @ n6 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl431_2482,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl5759_2483,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
   <= ( sk__1 = n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl2703]) ).

thf(zip_derived_cl5764,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl5759]) ).

thf(zip_derived_cl22_2484,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_2485,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_2486,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_2487,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5797,plain,
    ( ( ( sum @ ( sum @ n3 @ n4 ) @ ( sum @ n2 @ n5 ) )
     != ( sum @ ( sum @ n3 @ n5 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5764,zip_derived_cl22,zip_derived_cl6,zip_derived_cl22,zip_derived_cl6]) ).

thf(zip_derived_cl86_2488,plain,
    ( ( sum @ n3 @ n4 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl71_2489,plain,
    ( ( sum @ n2 @ n5 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl153_2490,plain,
    ( ( sum @ n7 @ n7 )
    = n14 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl87_2491,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6727,plain,
    ( ( n14
     != ( sum @ n8 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5797,zip_derived_cl86,zip_derived_cl71,zip_derived_cl153,zip_derived_cl87]) ).

thf(zip_derived_cl6760,plain,
    ( ( n14 != n14 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl6727]) ).

thf('256',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6760]) ).

thf('257',plain,
    ( ( sk_ = n4 )
    | ( sk_ = n2 )
    | ( sk_ = n13 )
    | ( sk_ = n12 )
    | ( sk_ = n15 )
    | ( sk_ = n3 )
    | ( sk_ = n6 )
    | ( sk_ = n5 )
    | ( sk_ = n0 )
    | ( sk_ = n10 )
    | ( sk_ = n1 )
    | ( sk_ = n11 )
    | ( sk_ = n8 )
    | ( sk_ = n7 )
    | ( sk_ = n14 )
    | ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl290]) ).

thf(zip_derived_cl8197,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM376+1.015 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.H9ejlmQidw true
% 0.15/0.34  % Computer : n018.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Fri Aug 25 15:10:44 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.21/0.35  % Python version: Python 3.6.8
% 0.21/0.35  % Running in FO mode
% 0.21/0.56  % Total configuration time : 435
% 0.21/0.56  % Estimated wc time : 1092
% 0.21/0.56  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.62  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.63  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.63  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.65  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.24/1.56  % Solved by fo/fo1_av.sh.
% 7.24/1.56  % done 2124 iterations in 0.617s
% 7.24/1.56  % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.24/1.56  % SZS output start Refutation
% See solution above
% 7.24/1.59  
% 7.24/1.59  
% 7.24/1.59  % Terminating...
% 7.62/1.67  % Runner terminated.
% 7.62/1.68  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------