%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM376+1.010 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WSxCasywbb true

% Computer : n007.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 12:40:19 EDT 2023

% Result   : Unsatisfiable 1.27s 1.12s
% Output   : Refutation 1.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   17
% Syntax   : Number of formulae    : 2008 (1091 unt;  16 typ;   0 def)
%            Number of atoms       : 3621 (3620 equ;   0 cnn)
%            Maximal formula atoms :  221 (   1 avg)
%            Number of connectives : 10669 ( 952   ~; 181   |; 673   &;8088   @)
%                                         (   0 <=>;   0  =>; 775  <=;   0 <~>)
%            Maximal formula depth :  203 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;  14 con; 0-2 aty)
%            Number of variables   :    2 (   0   ^;   0   !;   2   ?;   2   :)

% Comments : 
%------------------------------------------------------------------------------
thf(n0_type,type,
    n0: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(try_satisfy_this,axiom,
    ? [X: $i,Y: $i] :
      ( ( n9 != n10 )
      & ( n8 != n10 )
      & ( n8 != n9 )
      & ( n7 != n10 )
      & ( n7 != n9 )
      & ( n7 != n8 )
      & ( n6 != n10 )
      & ( n6 != n9 )
      & ( n6 != n8 )
      & ( n6 != n7 )
      & ( n5 != n10 )
      & ( n5 != n9 )
      & ( n5 != n8 )
      & ( n5 != n7 )
      & ( n5 != n6 )
      & ( n4 != n10 )
      & ( n4 != n9 )
      & ( n4 != n8 )
      & ( n4 != n7 )
      & ( n4 != n6 )
      & ( n4 != n5 )
      & ( n3 != n10 )
      & ( n3 != n9 )
      & ( n3 != n8 )
      & ( n3 != n7 )
      & ( n3 != n6 )
      & ( n3 != n5 )
      & ( n3 != n4 )
      & ( n2 != n10 )
      & ( n2 != n9 )
      & ( n2 != n8 )
      & ( n2 != n7 )
      & ( n2 != n6 )
      & ( n2 != n5 )
      & ( n2 != n4 )
      & ( n2 != n3 )
      & ( n1 != n10 )
      & ( n1 != n9 )
      & ( n1 != n8 )
      & ( n1 != n7 )
      & ( n1 != n6 )
      & ( n1 != n5 )
      & ( n1 != n4 )
      & ( n1 != n3 )
      & ( n1 != n2 )
      & ( 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 = n10 )
        | ( Y = n9 )
        | ( Y = n8 )
        | ( Y = n7 )
        | ( Y = n6 )
        | ( Y = n5 )
        | ( Y = n4 )
        | ( Y = n3 )
        | ( Y = n2 )
        | ( Y = n1 )
        | ( Y = n0 ) )
      & ( ( X = n10 )
        | ( X = n9 )
        | ( X = n8 )
        | ( X = n7 )
        | ( X = n6 )
        | ( X = n5 )
        | ( X = n4 )
        | ( X = n3 )
        | ( X = n2 )
        | ( X = n1 )
        | ( X = n0 ) )
      & ( ( sum @ n10 @ n10 )
        = n9 )
      & ( ( sum @ n10 @ n9 )
        = n8 )
      & ( ( sum @ n10 @ n8 )
        = n7 )
      & ( ( sum @ n10 @ n7 )
        = n6 )
      & ( ( sum @ n10 @ n6 )
        = n5 )
      & ( ( sum @ n10 @ n5 )
        = n4 )
      & ( ( sum @ n10 @ n4 )
        = n3 )
      & ( ( sum @ n10 @ n3 )
        = n2 )
      & ( ( sum @ n10 @ n2 )
        = n1 )
      & ( ( sum @ n10 @ n1 )
        = n0 )
      & ( ( sum @ n10 @ n0 )
        = n10 )
      & ( ( sum @ n9 @ n10 )
        = n8 )
      & ( ( sum @ n9 @ n9 )
        = n7 )
      & ( ( sum @ n9 @ n8 )
        = n6 )
      & ( ( sum @ n9 @ n7 )
        = n5 )
      & ( ( sum @ n9 @ n6 )
        = n4 )
      & ( ( sum @ n9 @ n5 )
        = n3 )
      & ( ( sum @ n9 @ n4 )
        = n2 )
      & ( ( sum @ n9 @ n3 )
        = n1 )
      & ( ( sum @ n9 @ n2 )
        = n0 )
      & ( ( sum @ n9 @ n1 )
        = n10 )
      & ( ( sum @ n9 @ n0 )
        = n9 )
      & ( ( sum @ n8 @ n10 )
        = n7 )
      & ( ( sum @ n8 @ n9 )
        = n6 )
      & ( ( sum @ n8 @ n8 )
        = n5 )
      & ( ( sum @ n8 @ n7 )
        = n4 )
      & ( ( sum @ n8 @ n6 )
        = n3 )
      & ( ( sum @ n8 @ n5 )
        = n2 )
      & ( ( sum @ n8 @ n4 )
        = n1 )
      & ( ( sum @ n8 @ n3 )
        = n0 )
      & ( ( sum @ n8 @ n2 )
        = n10 )
      & ( ( sum @ n8 @ n1 )
        = n9 )
      & ( ( sum @ n8 @ n0 )
        = n8 )
      & ( ( sum @ n7 @ n10 )
        = n6 )
      & ( ( sum @ n7 @ n9 )
        = n5 )
      & ( ( sum @ n7 @ n8 )
        = n4 )
      & ( ( sum @ n7 @ n7 )
        = n3 )
      & ( ( sum @ n7 @ n6 )
        = n2 )
      & ( ( sum @ n7 @ n5 )
        = n1 )
      & ( ( sum @ n7 @ n4 )
        = n0 )
      & ( ( sum @ n7 @ n3 )
        = n10 )
      & ( ( sum @ n7 @ n2 )
        = n9 )
      & ( ( sum @ n7 @ n1 )
        = n8 )
      & ( ( sum @ n7 @ n0 )
        = n7 )
      & ( ( sum @ n6 @ n10 )
        = n5 )
      & ( ( sum @ n6 @ n9 )
        = n4 )
      & ( ( sum @ n6 @ n8 )
        = n3 )
      & ( ( sum @ n6 @ n7 )
        = n2 )
      & ( ( sum @ n6 @ n6 )
        = n1 )
      & ( ( sum @ n6 @ n5 )
        = n0 )
      & ( ( sum @ n6 @ n4 )
        = n10 )
      & ( ( sum @ n6 @ n3 )
        = n9 )
      & ( ( sum @ n6 @ n2 )
        = n8 )
      & ( ( sum @ n6 @ n1 )
        = n7 )
      & ( ( sum @ n6 @ n0 )
        = n6 )
      & ( ( sum @ n5 @ n10 )
        = n4 )
      & ( ( sum @ n5 @ n9 )
        = n3 )
      & ( ( sum @ n5 @ n8 )
        = n2 )
      & ( ( sum @ n5 @ n7 )
        = n1 )
      & ( ( sum @ n5 @ n6 )
        = n0 )
      & ( ( 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 @ n10 )
        = n3 )
      & ( ( sum @ n4 @ n9 )
        = n2 )
      & ( ( sum @ n4 @ n8 )
        = n1 )
      & ( ( sum @ n4 @ n7 )
        = n0 )
      & ( ( 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 @ n10 )
        = n2 )
      & ( ( sum @ n3 @ n9 )
        = n1 )
      & ( ( sum @ n3 @ n8 )
        = n0 )
      & ( ( 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 @ n10 )
        = n1 )
      & ( ( sum @ n2 @ n9 )
        = n0 )
      & ( ( 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 @ n10 )
        = n0 )
      & ( ( 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 @ 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 @ 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 )
        = n10 )
      & ( ( succ @ n10 )
        = n0 )
      & ( ( 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_cl145,plain,
    ( ( 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_cl216,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl123,plain,
    ( ( sum @ n9 @ n0 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1,plain,
    ( ( 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_cl211,plain,
    ( ( sk__1 = n10 )
   <= ( sk__1 = n10 ) ),
    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_cl292,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_cl211,zip_derived_cl0]) ).

thf(zip_derived_cl935,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ ( pred @ n10 ) @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n10 ) @ n0 ) ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl292]) ).

thf(zip_derived_cl2363,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n9 @ n0 ) ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl935]) ).

thf(zip_derived_cl3556,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl2363]) ).

thf(zip_derived_cl3561,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n0 ) @ ( sum @ n9 @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n9 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl216,zip_derived_cl3556]) ).

thf(zip_derived_cl17,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl57,plain,
    ( ( sum @ n3 @ n0 )
    = 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_cl17_001,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_002,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl62,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl121,plain,
    ( ( sum @ n8 @ n9 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3583,plain,
    ( ( ( sum @ n3 @ ( sum @ n9 @ n5 ) )
     != n6 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3561,zip_derived_cl17,zip_derived_cl57,zip_derived_cl6,zip_derived_cl17,zip_derived_cl6,zip_derived_cl62,zip_derived_cl121]) ).

thf(zip_derived_cl128,plain,
    ( ( sum @ n9 @ n5 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl60,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3627,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3583,zip_derived_cl128,zip_derived_cl60]) ).

thf('0',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3627]) ).

thf(zip_derived_cl144,plain,
    ( ( sum @ n10 @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl214,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl110,plain,
    ( ( sum @ n7 @ n9 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl209,plain,
    ( ( sk__1 = n8 )
   <= ( sk__1 = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_003,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_cl271,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_cl209,zip_derived_cl0]) ).

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

thf(zip_derived_cl10_004,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl801,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_cl271,zip_derived_cl10,zip_derived_cl10]) ).

thf(zip_derived_cl2174,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_cl21,zip_derived_cl801]) ).

thf(zip_derived_cl3357,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl2174]) ).

thf(zip_derived_cl3379,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n5 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl214,zip_derived_cl3357]) ).

thf(zip_derived_cl15,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl44,plain,
    ( ( sum @ n1 @ n9 )
    = n10 ),
    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_cl104,plain,
    ( ( sum @ n7 @ n3 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_005,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_006,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl38,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl73,plain,
    ( ( sum @ n4 @ n5 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3401,plain,
    ( ( ( sum @ n10 @ n10 )
     != n9 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3379,zip_derived_cl15,zip_derived_cl44,zip_derived_cl4,zip_derived_cl104,zip_derived_cl15,zip_derived_cl4,zip_derived_cl38,zip_derived_cl73]) ).

thf(zip_derived_cl3812,plain,
    ( ( n9 != n9 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl3401]) ).

thf('1',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3812]) ).

thf(zip_derived_cl132,plain,
    ( ( sum @ n9 @ n9 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl214_007,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl98,plain,
    ( ( sum @ n6 @ n8 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl208,plain,
    ( ( sk__1 = n7 )
   <= ( sk__1 = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_008,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_cl262,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_cl208,zip_derived_cl0]) ).

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

thf(zip_derived_cl9_009,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl757,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_cl262,zip_derived_cl9,zip_derived_cl9]) ).

thf(zip_derived_cl2032,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_cl20,zip_derived_cl757]) ).

thf(zip_derived_cl3255,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl2032]) ).

thf(zip_derived_cl3273,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl214,zip_derived_cl3255]) ).

thf(zip_derived_cl15_010,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl43,plain,
    ( ( sum @ n1 @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_011,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl93,plain,
    ( ( sum @ n6 @ n3 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_012,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_013,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl38_014,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl71,plain,
    ( ( sum @ n4 @ n3 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3295,plain,
    ( ( ( sum @ n9 @ n9 )
     != n7 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3273,zip_derived_cl15,zip_derived_cl43,zip_derived_cl4,zip_derived_cl93,zip_derived_cl15,zip_derived_cl4,zip_derived_cl38,zip_derived_cl71]) ).

thf(zip_derived_cl3642,plain,
    ( ( n7 != n7 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl3295]) ).

thf('2',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3642]) ).

thf(zip_derived_cl214_015,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3556_016,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl2363]) ).

thf(zip_derived_cl3559,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n0 ) @ ( sum @ n9 @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n9 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl214,zip_derived_cl3556]) ).

thf(zip_derived_cl15_017,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

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

thf(zip_derived_cl4_018,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_019,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_020,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl38_021,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl77,plain,
    ( ( sum @ n4 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3581,plain,
    ( ( ( sum @ n1 @ ( sum @ n9 @ n3 ) )
     != n2 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3559,zip_derived_cl15,zip_derived_cl35,zip_derived_cl4,zip_derived_cl15,zip_derived_cl4,zip_derived_cl38,zip_derived_cl77]) ).

thf(zip_derived_cl126,plain,
    ( ( sum @ n9 @ n3 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3623,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3581,zip_derived_cl126,zip_derived_cl36]) ).

thf('3',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3623]) ).

thf(zip_derived_cl214_022,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl122,plain,
    ( ( sum @ n8 @ n10 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl210,plain,
    ( ( sk__1 = n9 )
   <= ( sk__1 = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_023,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_cl281,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_cl210,zip_derived_cl0]) ).

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

thf(zip_derived_cl11_024,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl845,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_cl281,zip_derived_cl11,zip_derived_cl11]) ).

thf(zip_derived_cl2268,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_cl22,zip_derived_cl845]) ).

thf(zip_derived_cl3474,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl2268]) ).

thf(zip_derived_cl3500,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n7 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl214,zip_derived_cl3474]) ).

thf(zip_derived_cl15_025,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl45,plain,
    ( ( sum @ n1 @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_026,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl115,plain,
    ( ( sum @ n8 @ n3 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_027,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_028,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl38_029,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl75,plain,
    ( ( sum @ n4 @ n7 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3522,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3500,zip_derived_cl15,zip_derived_cl45,zip_derived_cl4,zip_derived_cl115,zip_derived_cl24,zip_derived_cl15,zip_derived_cl4,zip_derived_cl38,zip_derived_cl75]) ).

thf('4',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3522]) ).

thf(zip_derived_cl108,plain,
    ( ( sum @ n7 @ n7 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl214_030,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl74,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl206,plain,
    ( ( sk__1 = n5 )
   <= ( sk__1 = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_031,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_cl244,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_cl206,zip_derived_cl0]) ).

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

thf(zip_derived_cl7_032,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl673,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_cl244,zip_derived_cl7,zip_derived_cl7]) ).

thf(zip_derived_cl1748,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_cl18,zip_derived_cl673]) ).

thf(zip_derived_cl3051,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_cl74,zip_derived_cl1748]) ).

thf(zip_derived_cl3063,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_cl214,zip_derived_cl3051]) ).

thf(zip_derived_cl15_033,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl41,plain,
    ( ( sum @ n1 @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_034,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl71_035,plain,
    ( ( sum @ n4 @ n3 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_036,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_037,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl38_038,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3085,plain,
    ( ( ( sum @ n7 @ n7 )
     != ( sum @ n4 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3063,zip_derived_cl15,zip_derived_cl41,zip_derived_cl4,zip_derived_cl71,zip_derived_cl15,zip_derived_cl4,zip_derived_cl38]) ).

thf(zip_derived_cl3342,plain,
    ( ( n3
     != ( sum @ n4 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl3085]) ).

thf(zip_derived_cl78,plain,
    ( ( sum @ n4 @ n10 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3348,plain,
    ( ( n3 != n3 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3342,zip_derived_cl78]) ).

thf('5',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3348]) ).

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

thf(zip_derived_cl214_039,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl26,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl202,plain,
    ( ( sk__1 = n1 )
   <= ( sk__1 = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_040,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_cl228,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_cl202,zip_derived_cl0]) ).

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

thf(zip_derived_cl3_041,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl513,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_cl228,zip_derived_cl3,zip_derived_cl3]) ).

thf(zip_derived_cl1181,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_cl14,zip_derived_cl513]) ).

thf(zip_derived_cl2489,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_cl26,zip_derived_cl1181]) ).

thf(zip_derived_cl2492,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_cl214,zip_derived_cl2489]) ).

thf(zip_derived_cl15_042,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_043,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_044,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_045,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2515,plain,
    ( ( ( sum @ ( sum @ n1 @ n2 ) @ ( sum @ n0 @ n3 ) )
     != ( sum @ ( sum @ n1 @ n3 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2492,zip_derived_cl15,zip_derived_cl4,zip_derived_cl15,zip_derived_cl4]) ).

thf(zip_derived_cl37,plain,
    ( ( sum @ n1 @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl27,plain,
    ( ( sum @ n0 @ n3 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl38_046,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2940,plain,
    ( ( ( sum @ n3 @ n3 )
     != ( sum @ n4 @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2515,zip_derived_cl37,zip_derived_cl27,zip_derived_cl38]) ).

thf(zip_derived_cl3029,plain,
    ( ( ( sum @ n3 @ n3 )
     != n6 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl2940]) ).

thf(zip_derived_cl60_047,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3031,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3029,zip_derived_cl60]) ).

thf('6',plain,
    ( ( sk_ != n2 )
    | ( sk__1 != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3031]) ).

thf(zip_derived_cl144_048,plain,
    ( ( sum @ n10 @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl215,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3255_049,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl2032]) ).

thf(zip_derived_cl3274,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl215,zip_derived_cl3255]) ).

thf(zip_derived_cl16,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl54,plain,
    ( ( sum @ n2 @ n8 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

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

thf(zip_derived_cl94,plain,
    ( ( sum @ n6 @ n4 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_050,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_051,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl50,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl93_052,plain,
    ( ( sum @ n6 @ n3 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3296,plain,
    ( ( ( sum @ n10 @ n10 )
     != n9 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3274,zip_derived_cl16,zip_derived_cl54,zip_derived_cl5,zip_derived_cl94,zip_derived_cl16,zip_derived_cl5,zip_derived_cl50,zip_derived_cl93]) ).

thf(zip_derived_cl3810,plain,
    ( ( n9 != n9 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl3296]) ).

thf('7',plain,
    ( ( sk__1 != n7 )
    | ( sk_ != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3810]) ).

thf(zip_derived_cl142,plain,
    ( ( sum @ n10 @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl212,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3255_053,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl2032]) ).

thf(zip_derived_cl3271,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl212,zip_derived_cl3255]) ).

thf(zip_derived_cl13,plain,
    ( ( pred @ n0 )
    = n10 ),
    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_cl91,plain,
    ( ( sum @ n6 @ n1 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_054,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_055,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3293,plain,
    ( ( ( sum @ ( sum @ n10 @ n8 ) @ n7 )
     != ( sum @ ( sum @ n10 @ n1 ) @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3271,zip_derived_cl13,zip_derived_cl2,zip_derived_cl91,zip_derived_cl13,zip_derived_cl2]) ).

thf(zip_derived_cl3787,plain,
    ( ( ( sum @ n7 @ n7 )
     != ( sum @ ( sum @ n10 @ n1 ) @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl3293]) ).

thf(zip_derived_cl108_056,plain,
    ( ( sum @ n7 @ n7 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl135,plain,
    ( ( sum @ n10 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl27_057,plain,
    ( ( sum @ n0 @ n3 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3790,plain,
    ( ( n3 != n3 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3787,zip_derived_cl108,zip_derived_cl135,zip_derived_cl27]) ).

thf('8',plain,
    ( ( sk__1 != n7 )
    | ( sk_ != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3790]) ).

thf(zip_derived_cl131,plain,
    ( ( sum @ n9 @ n8 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl222,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3255_058,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl2032]) ).

thf(zip_derived_cl3281,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl3255]) ).

thf(zip_derived_cl23_059,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_060,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl90,plain,
    ( ( sum @ n6 @ n0 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_061,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_062,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3305,plain,
    ( ( ( sum @ ( sum @ n9 @ n8 ) @ n6 )
     != ( sum @ ( sum @ n9 @ n0 ) @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3281,zip_derived_cl23,zip_derived_cl12,zip_derived_cl90,zip_derived_cl23,zip_derived_cl12]) ).

thf(zip_derived_cl3631,plain,
    ( ( ( sum @ n6 @ n6 )
     != ( sum @ ( sum @ n9 @ n0 ) @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl3305]) ).

thf(zip_derived_cl96,plain,
    ( ( sum @ n6 @ n6 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl123_063,plain,
    ( ( sum @ n9 @ n0 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl126_064,plain,
    ( ( sum @ n9 @ n3 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3633,plain,
    ( ( n1 != n1 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3631,zip_derived_cl96,zip_derived_cl123,zip_derived_cl126]) ).

thf('9',plain,
    ( ( sk__1 != n7 )
    | ( sk_ != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3633]) ).

thf(zip_derived_cl120,plain,
    ( ( sum @ n8 @ n8 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl213,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3255_065,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl2032]) ).

thf(zip_derived_cl3272,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl3255]) ).

thf(zip_derived_cl14_066,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl32,plain,
    ( ( sum @ n0 @ n8 )
    = n8 ),
    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_cl92,plain,
    ( ( sum @ n6 @ n2 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_068,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_069,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_070,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl49,plain,
    ( ( sum @ n2 @ n3 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3294,plain,
    ( ( ( sum @ n8 @ n8 )
     != n5 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3272,zip_derived_cl14,zip_derived_cl32,zip_derived_cl3,zip_derived_cl92,zip_derived_cl14,zip_derived_cl3,zip_derived_cl26,zip_derived_cl49]) ).

thf(zip_derived_cl3462,plain,
    ( ( n5 != n5 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl3294]) ).

thf('10',plain,
    ( ( sk__1 != n7 )
    | ( sk_ != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3462]) ).

thf(zip_derived_cl115_071,plain,
    ( ( sum @ n8 @ n3 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl216_072,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3255_073,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl2032]) ).

thf(zip_derived_cl3275,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl216,zip_derived_cl3255]) ).

thf(zip_derived_cl17_074,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl65,plain,
    ( ( sum @ n3 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_075,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl95,plain,
    ( ( sum @ n6 @ n5 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_076,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_077,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_078,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl62_079,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3297,plain,
    ( ( n0
     != ( sum @ n8 @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3275,zip_derived_cl17,zip_derived_cl65,zip_derived_cl6,zip_derived_cl95,zip_derived_cl24,zip_derived_cl17,zip_derived_cl6,zip_derived_cl62]) ).

thf(zip_derived_cl3434,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl3297]) ).

thf('11',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3434]) ).

thf(zip_derived_cl218,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3255_080,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl2032]) ).

thf(zip_derived_cl3277,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl218,zip_derived_cl3255]) ).

thf(zip_derived_cl19,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl87,plain,
    ( ( sum @ n5 @ n8 )
    = n2 ),
    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_cl97,plain,
    ( ( sum @ n6 @ n7 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl48,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_081,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_082,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl86,plain,
    ( ( sum @ n5 @ n7 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl38_083,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3299,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3277,zip_derived_cl19,zip_derived_cl87,zip_derived_cl8,zip_derived_cl97,zip_derived_cl48,zip_derived_cl19,zip_derived_cl8,zip_derived_cl86,zip_derived_cl38]) ).

thf('12',plain,
    ( ( sk__1 != n7 )
    | ( sk_ != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3299]) ).

thf(zip_derived_cl144_084,plain,
    ( ( sum @ n10 @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl98_085,plain,
    ( ( sum @ n6 @ n8 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl219,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl50_086,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_087,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl204,plain,
    ( ( sk__1 = n3 )
   <= ( sk__1 = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_088,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_cl233,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_cl204,zip_derived_cl0]) ).

thf(zip_derived_cl5_089,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_090,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl592,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_cl233,zip_derived_cl5,zip_derived_cl5]) ).

thf(zip_derived_cl1464,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_cl16,zip_derived_cl592]) ).

thf(zip_derived_cl2870,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_cl50,zip_derived_cl1464]) ).

thf(zip_derived_cl2878,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_cl219,zip_derived_cl2870]) ).

thf(zip_derived_cl20_091,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_092,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_093,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_094,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2901,plain,
    ( ( ( sum @ ( sum @ n6 @ n4 ) @ ( sum @ n2 @ n8 ) )
     != ( sum @ ( sum @ n6 @ n8 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2878,zip_derived_cl20,zip_derived_cl9,zip_derived_cl20,zip_derived_cl9]) ).

thf(zip_derived_cl54_095,plain,
    ( ( sum @ n2 @ n8 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3026,plain,
    ( ( ( sum @ ( sum @ n6 @ n4 ) @ n10 )
     != ( sum @ ( sum @ n6 @ n8 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2901,zip_derived_cl54]) ).

thf(zip_derived_cl3258,plain,
    ( ( ( sum @ ( sum @ n6 @ n4 ) @ n10 )
     != ( sum @ n3 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl3026]) ).

thf(zip_derived_cl94_096,plain,
    ( ( sum @ n6 @ n4 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl63,plain,
    ( ( sum @ n3 @ n6 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3264,plain,
    ( ( ( sum @ n10 @ n10 )
     != n9 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3258,zip_derived_cl94,zip_derived_cl63]) ).

thf(zip_derived_cl3809,plain,
    ( ( n9 != n9 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl3264]) ).

thf('13',plain,
    ( ( sk__1 != n3 )
    | ( sk_ != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3809]) ).

thf(zip_derived_cl140,plain,
    ( ( sum @ n10 @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl74_097,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl217,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2870_098,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_cl50,zip_derived_cl1464]) ).

thf(zip_derived_cl2876,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_cl217,zip_derived_cl2870]) ).

thf(zip_derived_cl18_099,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_100,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_101,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_102,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2899,plain,
    ( ( ( sum @ ( sum @ n4 @ n4 ) @ ( sum @ n2 @ n6 ) )
     != ( sum @ ( sum @ n4 @ n6 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2876,zip_derived_cl18,zip_derived_cl7,zip_derived_cl18,zip_derived_cl7]) ).

thf(zip_derived_cl52,plain,
    ( ( sum @ n2 @ n6 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3024,plain,
    ( ( ( sum @ ( sum @ n4 @ n4 ) @ n8 )
     != ( sum @ ( sum @ n4 @ n6 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2899,zip_derived_cl52]) ).

thf(zip_derived_cl3054,plain,
    ( ( ( sum @ ( sum @ n4 @ n4 ) @ n8 )
     != ( sum @ n10 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl3024]) ).

thf(zip_derived_cl72,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3059,plain,
    ( ( ( sum @ n8 @ n8 )
     != ( sum @ n10 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3054,zip_derived_cl72]) ).

thf(zip_derived_cl3765,plain,
    ( ( ( sum @ n8 @ n8 )
     != n5 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl3059]) ).

thf(zip_derived_cl120_103,plain,
    ( ( sum @ n8 @ n8 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3767,plain,
    ( ( n5 != n5 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3765,zip_derived_cl120]) ).

thf('14',plain,
    ( ( sk__1 != n3 )
    | ( sk_ != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3767]) ).

thf(zip_derived_cl138,plain,
    ( ( sum @ n10 @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl212_104,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2870_105,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_cl50,zip_derived_cl1464]) ).

thf(zip_derived_cl2871,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_cl212,zip_derived_cl2870]) ).

thf(zip_derived_cl13_106,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_107,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl47,plain,
    ( ( sum @ n2 @ n1 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_108,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_109,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2893,plain,
    ( ( ( sum @ ( sum @ n10 @ n4 ) @ n3 )
     != ( sum @ ( sum @ n10 @ n1 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2871,zip_derived_cl13,zip_derived_cl2,zip_derived_cl47,zip_derived_cl13,zip_derived_cl2]) ).

thf(zip_derived_cl3750,plain,
    ( ( ( sum @ n3 @ n3 )
     != ( sum @ ( sum @ n10 @ n1 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl2893]) ).

thf(zip_derived_cl60_110,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl135_111,plain,
    ( ( sum @ n10 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl30,plain,
    ( ( sum @ n0 @ n6 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3753,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3750,zip_derived_cl60,zip_derived_cl135,zip_derived_cl30]) ).

thf('15',plain,
    ( ( sk__1 != n3 )
    | ( sk_ != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3753]) ).

thf(zip_derived_cl132_112,plain,
    ( ( sum @ n9 @ n9 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl86_113,plain,
    ( ( sum @ n5 @ n7 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl218_114,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2870_115,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_cl50,zip_derived_cl1464]) ).

thf(zip_derived_cl2877,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_cl218,zip_derived_cl2870]) ).

thf(zip_derived_cl19_116,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_117,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_118,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_119,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2900,plain,
    ( ( ( sum @ ( sum @ n5 @ n4 ) @ ( sum @ n2 @ n7 ) )
     != ( sum @ ( sum @ n5 @ n7 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2877,zip_derived_cl19,zip_derived_cl8,zip_derived_cl19,zip_derived_cl8]) ).

thf(zip_derived_cl53,plain,
    ( ( sum @ n2 @ n7 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3025,plain,
    ( ( ( sum @ ( sum @ n5 @ n4 ) @ n9 )
     != ( sum @ ( sum @ n5 @ n7 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2900,zip_derived_cl53]) ).

thf(zip_derived_cl3155,plain,
    ( ( ( sum @ ( sum @ n5 @ n4 ) @ n9 )
     != ( sum @ n1 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl3025]) ).

thf(zip_derived_cl83,plain,
    ( ( sum @ n5 @ n4 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl41_120,plain,
    ( ( sum @ n1 @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3160,plain,
    ( ( ( sum @ n9 @ n9 )
     != n7 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3155,zip_derived_cl83,zip_derived_cl41]) ).

thf(zip_derived_cl3639,plain,
    ( ( n7 != n7 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl3160]) ).

thf('16',plain,
    ( ( sk__1 != n3 )
    | ( sk_ != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3639]) ).

thf(zip_derived_cl127,plain,
    ( ( sum @ n9 @ n4 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl222_121,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2870_122,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_cl50,zip_derived_cl1464]) ).

thf(zip_derived_cl2881,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_cl222,zip_derived_cl2870]) ).

thf(zip_derived_cl23_123,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_124,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl46,plain,
    ( ( sum @ n2 @ n0 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_125,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_126,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2904,plain,
    ( ( ( sum @ ( sum @ n9 @ n4 ) @ n2 )
     != ( sum @ ( sum @ n9 @ n0 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2881,zip_derived_cl23,zip_derived_cl12,zip_derived_cl46,zip_derived_cl23,zip_derived_cl12]) ).

thf(zip_derived_cl3608,plain,
    ( ( ( sum @ n2 @ n2 )
     != ( sum @ ( sum @ n9 @ n0 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl2904]) ).

thf(zip_derived_cl48_127,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl123_128,plain,
    ( ( sum @ n9 @ n0 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3609,plain,
    ( ( n4
     != ( sum @ n9 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3608,zip_derived_cl48,zip_derived_cl123]) ).

thf(zip_derived_cl129,plain,
    ( ( sum @ n9 @ n6 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3616,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3609,zip_derived_cl129]) ).

thf('17',plain,
    ( ( sk__1 != n3 )
    | ( sk_ != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3616]) ).

thf(zip_derived_cl122_129,plain,
    ( ( sum @ n8 @ n10 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl221,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2870_130,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_cl50,zip_derived_cl1464]) ).

thf(zip_derived_cl2880,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_cl221,zip_derived_cl2870]) ).

thf(zip_derived_cl22_131,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_132,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_133,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_134,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2903,plain,
    ( ( ( sum @ ( sum @ n8 @ n4 ) @ ( sum @ n2 @ n10 ) )
     != ( sum @ ( sum @ n8 @ n10 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2880,zip_derived_cl22,zip_derived_cl11,zip_derived_cl22,zip_derived_cl11]) ).

thf(zip_derived_cl56,plain,
    ( ( sum @ n2 @ n10 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3028,plain,
    ( ( ( sum @ ( sum @ n8 @ n4 ) @ n1 )
     != ( sum @ ( sum @ n8 @ n10 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2903,zip_derived_cl56]) ).

thf(zip_derived_cl3477,plain,
    ( ( ( sum @ ( sum @ n8 @ n4 ) @ n1 )
     != ( sum @ n7 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl3028]) ).

thf(zip_derived_cl116,plain,
    ( ( sum @ n8 @ n4 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_135,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl107,plain,
    ( ( sum @ n7 @ n6 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3486,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3477,zip_derived_cl116,zip_derived_cl36,zip_derived_cl107]) ).

thf('18',plain,
    ( ( sk__1 != n3 )
    | ( sk_ != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3486]) ).

thf(zip_derived_cl118,plain,
    ( ( sum @ n8 @ n6 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl216_136,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2870_137,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_cl50,zip_derived_cl1464]) ).

thf(zip_derived_cl2875,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_cl216,zip_derived_cl2870]) ).

thf(zip_derived_cl17_138,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_139,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_140,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_141,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2898,plain,
    ( ( ( sum @ ( sum @ n3 @ n4 ) @ ( sum @ n2 @ n5 ) )
     != ( sum @ ( sum @ n3 @ n5 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2875,zip_derived_cl17,zip_derived_cl6,zip_derived_cl17,zip_derived_cl6]) ).

thf(zip_derived_cl61,plain,
    ( ( sum @ n3 @ n4 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl51,plain,
    ( ( sum @ n2 @ n5 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl62_142,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3023,plain,
    ( ( ( sum @ n7 @ n7 )
     != ( sum @ n8 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2898,zip_derived_cl61,zip_derived_cl51,zip_derived_cl62]) ).

thf(zip_derived_cl3445,plain,
    ( ( ( sum @ n7 @ n7 )
     != n3 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl3023]) ).

thf(zip_derived_cl108_143,plain,
    ( ( sum @ n7 @ n7 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3446,plain,
    ( ( n3 != n3 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3445,zip_derived_cl108]) ).

thf('19',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3446]) ).

thf(zip_derived_cl110_144,plain,
    ( ( sum @ n7 @ n9 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl220,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2870_145,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_cl50,zip_derived_cl1464]) ).

thf(zip_derived_cl2879,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_cl220,zip_derived_cl2870]) ).

thf(zip_derived_cl21_146,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_147,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_148,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_149,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2902,plain,
    ( ( ( sum @ ( sum @ n7 @ n4 ) @ ( sum @ n2 @ n9 ) )
     != ( sum @ ( sum @ n7 @ n9 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2879,zip_derived_cl21,zip_derived_cl10,zip_derived_cl21,zip_derived_cl10]) ).

thf(zip_derived_cl55,plain,
    ( ( sum @ n2 @ n9 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3027,plain,
    ( ( ( sum @ ( sum @ n7 @ n4 ) @ n0 )
     != ( sum @ ( sum @ n7 @ n9 ) @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2902,zip_derived_cl55]) ).

thf(zip_derived_cl3360,plain,
    ( ( ( sum @ ( sum @ n7 @ n4 ) @ n0 )
     != ( sum @ n5 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl3027]) ).

thf(zip_derived_cl105,plain,
    ( ( sum @ n7 @ n4 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_150,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl85,plain,
    ( ( sum @ n5 @ n6 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3367,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3360,zip_derived_cl105,zip_derived_cl24,zip_derived_cl85]) ).

thf('20',plain,
    ( ( sk__1 != n3 )
    | ( sk_ != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3367]) ).

thf(zip_derived_cl84,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl214_151,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2870_152,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_cl50,zip_derived_cl1464]) ).

thf(zip_derived_cl2873,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_cl214,zip_derived_cl2870]) ).

thf(zip_derived_cl15_153,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl39,plain,
    ( ( sum @ n1 @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_154,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl49_155,plain,
    ( ( sum @ n2 @ n3 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_156,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_157,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl38_158,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2895,plain,
    ( ( ( sum @ n5 @ n5 )
     != ( sum @ n4 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2873,zip_derived_cl15,zip_derived_cl39,zip_derived_cl4,zip_derived_cl49,zip_derived_cl15,zip_derived_cl4,zip_derived_cl38]) ).

thf(zip_derived_cl3137,plain,
    ( ( n10
     != ( sum @ n4 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl2895]) ).

thf(zip_derived_cl74_159,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3140,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3137,zip_derived_cl74]) ).

thf('21',plain,
    ( ( sk__1 != n3 )
    | ( sk_ != n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3140]) ).

thf(zip_derived_cl72_160,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl213_161,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2870_162,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_cl50,zip_derived_cl1464]) ).

thf(zip_derived_cl2872,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_cl213,zip_derived_cl2870]) ).

thf(zip_derived_cl14_163,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl28,plain,
    ( ( sum @ n0 @ n4 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_164,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl48_165,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_166,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_167,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_168,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2894,plain,
    ( ( ( sum @ n4 @ n4 )
     != ( sum @ n2 @ n6 ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2872,zip_derived_cl14,zip_derived_cl28,zip_derived_cl3,zip_derived_cl48,zip_derived_cl14,zip_derived_cl3,zip_derived_cl26]) ).

thf(zip_derived_cl52_169,plain,
    ( ( sum @ n2 @ n6 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2922,plain,
    ( ( ( sum @ n4 @ n4 )
     != n8 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2894,zip_derived_cl52]) ).

thf(zip_derived_cl3041,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl2922]) ).

thf('22',plain,
    ( ( sk__1 != n3 )
    | ( sk_ != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3041]) ).

thf(zip_derived_cl215_170,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl592_171,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_cl233,zip_derived_cl5,zip_derived_cl5]) ).

thf(zip_derived_cl597,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n4 ) @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ ( sum @ ( pred @ n3 ) @ n4 ) ) )
   <= ( ( sk__1 = n3 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl215,zip_derived_cl592]) ).

thf(zip_derived_cl5_172,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_173,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl619,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_cl597,zip_derived_cl5,zip_derived_cl5]) ).

thf('23',plain,
    ( ( sk__1 != n3 )
    | ( sk_ != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl619]) ).

thf(zip_derived_cl219_174,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl135_175,plain,
    ( ( sum @ n10 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_176,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl201,plain,
    ( ( sk__1 = n0 )
   <= ( sk__1 = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_177,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_cl227,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_cl201,zip_derived_cl0]) ).

thf(zip_derived_cl2_178,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_179,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl475,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_cl227,zip_derived_cl2,zip_derived_cl2]) ).

thf(zip_derived_cl1037,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n10 @ n1 ) ) )
   <= ( sk__1 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl475]) ).

thf(zip_derived_cl3670,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl1037]) ).

thf(zip_derived_cl3704,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n1 ) @ ( sum @ n10 @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl3670]) ).

thf(zip_derived_cl20_180,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl91_181,plain,
    ( ( sum @ n6 @ n1 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_182,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_183,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_184,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl98_185,plain,
    ( ( sum @ n6 @ n8 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl57_186,plain,
    ( ( sum @ n3 @ n0 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3728,plain,
    ( ( ( sum @ n7 @ ( sum @ n10 @ n8 ) )
     != n3 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3704,zip_derived_cl20,zip_derived_cl91,zip_derived_cl9,zip_derived_cl20,zip_derived_cl9,zip_derived_cl98,zip_derived_cl57]) ).

thf(zip_derived_cl142_187,plain,
    ( ( sum @ n10 @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl108_188,plain,
    ( ( sum @ n7 @ n7 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3834,plain,
    ( ( n3 != n3 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3728,zip_derived_cl142,zip_derived_cl108]) ).

thf('24',plain,
    ( ( sk_ != n7 )
    | ( sk__1 != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3834]) ).

thf(zip_derived_cl132_189,plain,
    ( ( sum @ n9 @ n9 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl98_190,plain,
    ( ( sum @ n6 @ n8 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl219_191,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl38_192,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_193,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl203,plain,
    ( ( sk__1 = n2 )
   <= ( sk__1 = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_194,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_cl229,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_cl203,zip_derived_cl0]) ).

thf(zip_derived_cl4_195,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_196,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl550,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_cl229,zip_derived_cl4,zip_derived_cl4]) ).

thf(zip_derived_cl1322,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_cl15,zip_derived_cl550]) ).

thf(zip_derived_cl2776,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_cl38,zip_derived_cl1322]) ).

thf(zip_derived_cl2784,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_cl219,zip_derived_cl2776]) ).

thf(zip_derived_cl20_197,plain,
    ( ( pred @ n7 )
    = n6 ),
    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_cl20_199,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_200,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2807,plain,
    ( ( ( sum @ ( sum @ n6 @ n3 ) @ ( sum @ n1 @ n8 ) )
     != ( sum @ ( sum @ n6 @ n8 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2784,zip_derived_cl20,zip_derived_cl9,zip_derived_cl20,zip_derived_cl9]) ).

thf(zip_derived_cl43_201,plain,
    ( ( sum @ n1 @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3013,plain,
    ( ( ( sum @ ( sum @ n6 @ n3 ) @ n9 )
     != ( sum @ ( sum @ n6 @ n8 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2807,zip_derived_cl43]) ).

thf(zip_derived_cl3257,plain,
    ( ( ( sum @ ( sum @ n6 @ n3 ) @ n9 )
     != ( sum @ n3 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl3013]) ).

thf(zip_derived_cl93_202,plain,
    ( ( sum @ n6 @ n3 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl61_203,plain,
    ( ( sum @ n3 @ n4 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3263,plain,
    ( ( ( sum @ n9 @ n9 )
     != n7 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3257,zip_derived_cl93,zip_derived_cl61]) ).

thf(zip_derived_cl3641,plain,
    ( ( n7 != n7 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl3263]) ).

thf('25',plain,
    ( ( sk_ != n7 )
    | ( sk__1 != n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3641]) ).

thf(zip_derived_cl219_204,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3556_205,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl2363]) ).

thf(zip_derived_cl3564,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n0 ) @ ( sum @ n9 @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n9 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl3556]) ).

thf(zip_derived_cl20_206,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl90_207,plain,
    ( ( sum @ n6 @ n0 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_208,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_209,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_210,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl98_211,plain,
    ( ( sum @ n6 @ n8 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl66,plain,
    ( ( sum @ n3 @ n9 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3586,plain,
    ( ( ( sum @ n6 @ ( sum @ n9 @ n8 ) )
     != n1 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3564,zip_derived_cl20,zip_derived_cl90,zip_derived_cl9,zip_derived_cl20,zip_derived_cl9,zip_derived_cl98,zip_derived_cl66]) ).

thf(zip_derived_cl131_212,plain,
    ( ( sum @ n9 @ n8 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl96_213,plain,
    ( ( sum @ n6 @ n6 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3636,plain,
    ( ( n1 != n1 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3586,zip_derived_cl131,zip_derived_cl96]) ).

thf('26',plain,
    ( ( sk_ != n7 )
    | ( sk__1 != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3636]) ).

thf(zip_derived_cl219_214,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3474_215,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl2268]) ).

thf(zip_derived_cl3505,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n7 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl3474]) ).

thf(zip_derived_cl20_216,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl100,plain,
    ( ( sum @ n6 @ n10 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_217,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl120_218,plain,
    ( ( sum @ n8 @ n8 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl84_219,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_220,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_221,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl98_222,plain,
    ( ( sum @ n6 @ n8 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl64,plain,
    ( ( sum @ n3 @ n7 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3531,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3505,zip_derived_cl20,zip_derived_cl100,zip_derived_cl9,zip_derived_cl120,zip_derived_cl84,zip_derived_cl20,zip_derived_cl9,zip_derived_cl98,zip_derived_cl64]) ).

thf('27',plain,
    ( ( sk_ != n7 )
    | ( sk__1 != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3531]) ).

thf(zip_derived_cl120_223,plain,
    ( ( sum @ n8 @ n8 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl98_224,plain,
    ( ( sum @ n6 @ n8 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl219_225,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2489_226,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_cl26,zip_derived_cl1181]) ).

thf(zip_derived_cl2497,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_cl219,zip_derived_cl2489]) ).

thf(zip_derived_cl20_227,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_228,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_229,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_230,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2520,plain,
    ( ( ( sum @ ( sum @ n6 @ n2 ) @ ( sum @ n0 @ n8 ) )
     != ( sum @ ( sum @ n6 @ n8 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2497,zip_derived_cl20,zip_derived_cl9,zip_derived_cl20,zip_derived_cl9]) ).

thf(zip_derived_cl32_231,plain,
    ( ( sum @ n0 @ n8 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2945,plain,
    ( ( ( sum @ ( sum @ n6 @ n2 ) @ n8 )
     != ( sum @ ( sum @ n6 @ n8 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2520,zip_derived_cl32]) ).

thf(zip_derived_cl3256,plain,
    ( ( ( sum @ ( sum @ n6 @ n2 ) @ n8 )
     != ( sum @ n3 @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl2945]) ).

thf(zip_derived_cl92_232,plain,
    ( ( sum @ n6 @ n2 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl59,plain,
    ( ( sum @ n3 @ n2 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3262,plain,
    ( ( ( sum @ n8 @ n8 )
     != n5 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3256,zip_derived_cl92,zip_derived_cl59]) ).

thf(zip_derived_cl3461,plain,
    ( ( n5 != n5 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl3262]) ).

thf('28',plain,
    ( ( sk_ != n7 )
    | ( sk__1 != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3461]) ).

thf(zip_derived_cl219_233,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3357_234,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl2174]) ).

thf(zip_derived_cl3384,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n5 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl3357]) ).

thf(zip_derived_cl20_235,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl99,plain,
    ( ( sum @ n6 @ n9 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_236,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl109,plain,
    ( ( sum @ n7 @ n8 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl72_237,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_238,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_239,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl98_240,plain,
    ( ( sum @ n6 @ n8 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl62_241,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3408,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3384,zip_derived_cl20,zip_derived_cl99,zip_derived_cl9,zip_derived_cl109,zip_derived_cl72,zip_derived_cl20,zip_derived_cl9,zip_derived_cl98,zip_derived_cl62]) ).

thf('29',plain,
    ( ( sk_ != n7 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3408]) ).

thf(zip_derived_cl98_242,plain,
    ( ( sum @ n6 @ n8 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl219_243,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl86_244,plain,
    ( ( sum @ n5 @ n7 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_245,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl207,plain,
    ( ( sk__1 = n6 )
   <= ( sk__1 = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_246,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_cl251,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_cl207,zip_derived_cl0]) ).

thf(zip_derived_cl8_247,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_248,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl715,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_cl251,zip_derived_cl8,zip_derived_cl8]) ).

thf(zip_derived_cl1890,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_cl19,zip_derived_cl715]) ).

thf(zip_derived_cl3152,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl1890]) ).

thf(zip_derived_cl3171,plain,
    ( ( ( sum @ ( sum @ ( pred @ n7 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n7 ) ) )
     != ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl3152]) ).

thf(zip_derived_cl20_249,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_250,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_251,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_252,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3194,plain,
    ( ( ( sum @ ( sum @ n6 @ n7 ) @ ( sum @ n5 @ n8 ) )
     != ( sum @ ( sum @ n6 @ n8 ) @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3171,zip_derived_cl20,zip_derived_cl9,zip_derived_cl20,zip_derived_cl9]) ).

thf(zip_derived_cl87_253,plain,
    ( ( sum @ n5 @ n8 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3210,plain,
    ( ( ( sum @ ( sum @ n6 @ n7 ) @ n2 )
     != ( sum @ ( sum @ n6 @ n8 ) @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3194,zip_derived_cl87]) ).

thf(zip_derived_cl3261,plain,
    ( ( ( sum @ ( sum @ n6 @ n7 ) @ n2 )
     != ( sum @ n3 @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl3210]) ).

thf(zip_derived_cl97_254,plain,
    ( ( sum @ n6 @ n7 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl48_255,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl58,plain,
    ( ( sum @ n3 @ n1 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3269,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3261,zip_derived_cl97,zip_derived_cl48,zip_derived_cl58]) ).

thf('30',plain,
    ( ( sk_ != n7 )
    | ( sk__1 != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3269]) ).

thf(zip_derived_cl98_256,plain,
    ( ( sum @ n6 @ n8 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl219_257,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3051_258,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_cl74,zip_derived_cl1748]) ).

thf(zip_derived_cl3068,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_cl219,zip_derived_cl3051]) ).

thf(zip_derived_cl20_259,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_260,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_261,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_262,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3091,plain,
    ( ( ( sum @ ( sum @ n6 @ n6 ) @ ( sum @ n4 @ n8 ) )
     != ( sum @ ( sum @ n6 @ n8 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3068,zip_derived_cl20,zip_derived_cl9,zip_derived_cl20,zip_derived_cl9]) ).

thf(zip_derived_cl76,plain,
    ( ( sum @ n4 @ n8 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3109,plain,
    ( ( ( sum @ ( sum @ n6 @ n6 ) @ n1 )
     != ( sum @ ( sum @ n6 @ n8 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3091,zip_derived_cl76]) ).

thf(zip_derived_cl3260,plain,
    ( ( ( sum @ ( sum @ n6 @ n6 ) @ n1 )
     != ( sum @ n3 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl3109]) ).

thf(zip_derived_cl96_263,plain,
    ( ( sum @ n6 @ n6 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_264,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl67,plain,
    ( ( sum @ n3 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3267,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3260,zip_derived_cl96,zip_derived_cl36,zip_derived_cl67]) ).

thf('31',plain,
    ( ( sk_ != n7 )
    | ( sk__1 != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3267]) ).

thf(zip_derived_cl98_265,plain,
    ( ( sum @ n6 @ n8 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl219_266,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl62_267,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_268,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl205,plain,
    ( ( sk__1 = n4 )
   <= ( sk__1 = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0_269,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_cl238,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_cl205,zip_derived_cl0]) ).

thf(zip_derived_cl6_270,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_271,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl633,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_cl238,zip_derived_cl6,zip_derived_cl6]) ).

thf(zip_derived_cl1606,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_cl17,zip_derived_cl633]) ).

thf(zip_derived_cl2958,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_cl62,zip_derived_cl1606]) ).

thf(zip_derived_cl2969,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_cl219,zip_derived_cl2958]) ).

thf(zip_derived_cl20_272,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_273,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl20_274,plain,
    ( ( pred @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl9_275,plain,
    ( ( succ @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2992,plain,
    ( ( ( sum @ ( sum @ n6 @ n5 ) @ ( sum @ n3 @ n8 ) )
     != ( sum @ ( sum @ n6 @ n8 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2969,zip_derived_cl20,zip_derived_cl9,zip_derived_cl20,zip_derived_cl9]) ).

thf(zip_derived_cl65_276,plain,
    ( ( sum @ n3 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3044,plain,
    ( ( ( sum @ ( sum @ n6 @ n5 ) @ n0 )
     != ( sum @ ( sum @ n6 @ n8 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2992,zip_derived_cl65]) ).

thf(zip_derived_cl3259,plain,
    ( ( ( sum @ ( sum @ n6 @ n5 ) @ n0 )
     != ( sum @ n3 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl3044]) ).

thf(zip_derived_cl95_277,plain,
    ( ( sum @ n6 @ n5 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_278,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl65_279,plain,
    ( ( sum @ n3 @ n8 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3265,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3259,zip_derived_cl95,zip_derived_cl24,zip_derived_cl65]) ).

thf('32',plain,
    ( ( sk_ != n7 )
    | ( sk__1 != n4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3265]) ).

thf(zip_derived_cl219_280,plain,
    ( ( sk_ = n7 )
   <= ( sk_ = n7 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl757_281,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_cl262,zip_derived_cl9,zip_derived_cl9]) ).

thf(zip_derived_cl765,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_cl219,zip_derived_cl757]) ).

thf(zip_derived_cl9_282,plain,
    ( ( succ @ n7 )
    = n8 ),
    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_cl787,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_cl765,zip_derived_cl9,zip_derived_cl9]) ).

thf('33',plain,
    ( ( sk_ != n7 )
    | ( sk__1 != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl787]) ).

thf(zip_derived_cl144_284,plain,
    ( ( sum @ n10 @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl86_285,plain,
    ( ( sum @ n5 @ n7 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl218_286,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2958_287,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_cl62,zip_derived_cl1606]) ).

thf(zip_derived_cl2968,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_cl218,zip_derived_cl2958]) ).

thf(zip_derived_cl19_288,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_289,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_290,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_291,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2991,plain,
    ( ( ( sum @ ( sum @ n5 @ n5 ) @ ( sum @ n3 @ n7 ) )
     != ( sum @ ( sum @ n5 @ n7 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2968,zip_derived_cl19,zip_derived_cl8,zip_derived_cl19,zip_derived_cl8]) ).

thf(zip_derived_cl64_292,plain,
    ( ( sum @ n3 @ n7 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3043,plain,
    ( ( ( sum @ ( sum @ n5 @ n5 ) @ n10 )
     != ( sum @ ( sum @ n5 @ n7 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2991,zip_derived_cl64]) ).

thf(zip_derived_cl3156,plain,
    ( ( ( sum @ ( sum @ n5 @ n5 ) @ n10 )
     != ( sum @ n1 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl3043]) ).

thf(zip_derived_cl84_293,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl43_294,plain,
    ( ( sum @ n1 @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3161,plain,
    ( ( ( sum @ n10 @ n10 )
     != n9 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3156,zip_derived_cl84,zip_derived_cl43]) ).

thf(zip_derived_cl3807,plain,
    ( ( n9 != n9 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl3161]) ).

thf('34',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3807]) ).

thf(zip_derived_cl142_295,plain,
    ( ( sum @ n10 @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl74_296,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl217_297,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2958_298,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_cl62,zip_derived_cl1606]) ).

thf(zip_derived_cl2978,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_cl217,zip_derived_cl2958]) ).

thf(zip_derived_cl18_299,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_300,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_301,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_302,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3002,plain,
    ( ( ( sum @ ( sum @ n4 @ n5 ) @ ( sum @ n3 @ n6 ) )
     != ( sum @ ( sum @ n4 @ n6 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2978,zip_derived_cl18,zip_derived_cl7,zip_derived_cl18,zip_derived_cl7]) ).

thf(zip_derived_cl73_303,plain,
    ( ( sum @ n4 @ n5 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl63_304,plain,
    ( ( sum @ n3 @ n6 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3047,plain,
    ( ( ( sum @ n9 @ n9 )
     != ( sum @ ( sum @ n4 @ n6 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3002,zip_derived_cl73,zip_derived_cl63]) ).

thf(zip_derived_cl3056,plain,
    ( ( ( sum @ n9 @ n9 )
     != ( sum @ n10 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl3047]) ).

thf(zip_derived_cl3786,plain,
    ( ( ( sum @ n9 @ n9 )
     != n7 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl3056]) ).

thf(zip_derived_cl132_305,plain,
    ( ( sum @ n9 @ n9 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3788,plain,
    ( ( n7 != n7 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3786,zip_derived_cl132]) ).

thf('35',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3788]) ).

thf(zip_derived_cl139,plain,
    ( ( sum @ n10 @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl212_306,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2958_307,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_cl62,zip_derived_cl1606]) ).

thf(zip_derived_cl2962,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_cl212,zip_derived_cl2958]) ).

thf(zip_derived_cl13_308,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_309,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl58_310,plain,
    ( ( sum @ n3 @ n1 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_311,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_312,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2984,plain,
    ( ( ( sum @ ( sum @ n10 @ n5 ) @ n4 )
     != ( sum @ ( sum @ n10 @ n1 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2962,zip_derived_cl13,zip_derived_cl2,zip_derived_cl58,zip_derived_cl13,zip_derived_cl2]) ).

thf(zip_derived_cl3758,plain,
    ( ( ( sum @ n4 @ n4 )
     != ( sum @ ( sum @ n10 @ n1 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl2984]) ).

thf(zip_derived_cl72_313,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl135_314,plain,
    ( ( sum @ n10 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl32_315,plain,
    ( ( sum @ n0 @ n8 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3760,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3758,zip_derived_cl72,zip_derived_cl135,zip_derived_cl32]) ).

thf('36',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3760]) ).

thf(zip_derived_cl131_316,plain,
    ( ( sum @ n9 @ n8 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl128_317,plain,
    ( ( sum @ n9 @ n5 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl222_318,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2958_319,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_cl62,zip_derived_cl1606]) ).

thf(zip_derived_cl2972,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_cl222,zip_derived_cl2958]) ).

thf(zip_derived_cl23_320,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_321,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl57_322,plain,
    ( ( sum @ n3 @ n0 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_323,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_324,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2995,plain,
    ( ( ( sum @ ( sum @ n9 @ n5 ) @ n3 )
     != ( sum @ ( sum @ n9 @ n0 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2972,zip_derived_cl23,zip_derived_cl12,zip_derived_cl57,zip_derived_cl23,zip_derived_cl12]) ).

thf(zip_derived_cl3610,plain,
    ( ( ( sum @ n3 @ n3 )
     != ( sum @ ( sum @ n9 @ n0 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl2995]) ).

thf(zip_derived_cl60_325,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl123_326,plain,
    ( ( sum @ n9 @ n0 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3611,plain,
    ( ( n6
     != ( sum @ n9 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3610,zip_derived_cl60,zip_derived_cl123]) ).

thf(zip_derived_cl3632,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl3611]) ).

thf('37',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3632]) ).

thf(zip_derived_cl122_327,plain,
    ( ( sum @ n8 @ n10 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl221_328,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2958_329,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_cl62,zip_derived_cl1606]) ).

thf(zip_derived_cl2971,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_cl221,zip_derived_cl2958]) ).

thf(zip_derived_cl22_330,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_331,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_332,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_333,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2994,plain,
    ( ( ( sum @ ( sum @ n8 @ n5 ) @ ( sum @ n3 @ n10 ) )
     != ( sum @ ( sum @ n8 @ n10 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2971,zip_derived_cl22,zip_derived_cl11,zip_derived_cl22,zip_derived_cl11]) ).

thf(zip_derived_cl67_334,plain,
    ( ( sum @ n3 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3046,plain,
    ( ( ( sum @ ( sum @ n8 @ n5 ) @ n2 )
     != ( sum @ ( sum @ n8 @ n10 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2994,zip_derived_cl67]) ).

thf(zip_derived_cl3478,plain,
    ( ( ( sum @ ( sum @ n8 @ n5 ) @ n2 )
     != ( sum @ n7 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl3046]) ).

thf(zip_derived_cl117,plain,
    ( ( sum @ n8 @ n5 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl48_335,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl109_336,plain,
    ( ( sum @ n7 @ n8 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3488,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3478,zip_derived_cl117,zip_derived_cl48,zip_derived_cl109]) ).

thf('38',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3488]) ).

thf(zip_derived_cl110_337,plain,
    ( ( sum @ n7 @ n9 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl220_338,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2958_339,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_cl62,zip_derived_cl1606]) ).

thf(zip_derived_cl2970,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_cl220,zip_derived_cl2958]) ).

thf(zip_derived_cl21_340,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_341,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_342,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_343,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2993,plain,
    ( ( ( sum @ ( sum @ n7 @ n5 ) @ ( sum @ n3 @ n9 ) )
     != ( sum @ ( sum @ n7 @ n9 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2970,zip_derived_cl21,zip_derived_cl10,zip_derived_cl21,zip_derived_cl10]) ).

thf(zip_derived_cl66_344,plain,
    ( ( sum @ n3 @ n9 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3045,plain,
    ( ( ( sum @ ( sum @ n7 @ n5 ) @ n1 )
     != ( sum @ ( sum @ n7 @ n9 ) @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2993,zip_derived_cl66]) ).

thf(zip_derived_cl3361,plain,
    ( ( ( sum @ ( sum @ n7 @ n5 ) @ n1 )
     != ( sum @ n5 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl3045]) ).

thf(zip_derived_cl106,plain,
    ( ( sum @ n7 @ n5 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_345,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl87_346,plain,
    ( ( sum @ n5 @ n8 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3369,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3361,zip_derived_cl106,zip_derived_cl36,zip_derived_cl87]) ).

thf('39',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3369]) ).

thf(zip_derived_cl108_347,plain,
    ( ( sum @ n7 @ n7 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl215_348,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2958_349,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_cl62,zip_derived_cl1606]) ).

thf(zip_derived_cl2965,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_cl215,zip_derived_cl2958]) ).

thf(zip_derived_cl16_350,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl51_351,plain,
    ( ( sum @ n2 @ n5 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_352,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl61_353,plain,
    ( ( sum @ n3 @ n4 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_354,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_355,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl50_356,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2987,plain,
    ( ( ( sum @ n7 @ n7 )
     != ( sum @ n6 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2965,zip_derived_cl16,zip_derived_cl51,zip_derived_cl5,zip_derived_cl61,zip_derived_cl16,zip_derived_cl5,zip_derived_cl50]) ).

thf(zip_derived_cl3341,plain,
    ( ( n3
     != ( sum @ n6 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl2987]) ).

thf(zip_derived_cl98_357,plain,
    ( ( sum @ n6 @ n8 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3346,plain,
    ( ( n3 != n3 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3341,zip_derived_cl98]) ).

thf('40',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3346]) ).

thf(zip_derived_cl96_358,plain,
    ( ( sum @ n6 @ n6 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl214_359,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2958_360,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_cl62,zip_derived_cl1606]) ).

thf(zip_derived_cl2964,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_cl214,zip_derived_cl2958]) ).

thf(zip_derived_cl15_361,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl40,plain,
    ( ( sum @ n1 @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_362,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl60_363,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_364,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_365,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl38_366,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2986,plain,
    ( ( ( sum @ n6 @ n6 )
     != ( sum @ n4 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2964,zip_derived_cl15,zip_derived_cl40,zip_derived_cl4,zip_derived_cl60,zip_derived_cl15,zip_derived_cl4,zip_derived_cl38]) ).

thf(zip_derived_cl3242,plain,
    ( ( n1
     != ( sum @ n4 @ n8 ) )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl2986]) ).

thf(zip_derived_cl76_367,plain,
    ( ( sum @ n4 @ n8 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3245,plain,
    ( ( n1 != n1 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3242,zip_derived_cl76]) ).

thf('41',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3245]) ).

thf(zip_derived_cl84_368,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl213_369,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2958_370,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_cl62,zip_derived_cl1606]) ).

thf(zip_derived_cl2963,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_cl213,zip_derived_cl2958]) ).

thf(zip_derived_cl14_371,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl29,plain,
    ( ( sum @ n0 @ n5 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_372,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl59_373,plain,
    ( ( sum @ n3 @ n2 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_374,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_375,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_376,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl54_377,plain,
    ( ( sum @ n2 @ n8 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2985,plain,
    ( ( ( sum @ n5 @ n5 )
     != n10 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2963,zip_derived_cl14,zip_derived_cl29,zip_derived_cl3,zip_derived_cl59,zip_derived_cl14,zip_derived_cl3,zip_derived_cl26,zip_derived_cl54]) ).

thf(zip_derived_cl3138,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n4 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl2985]) ).

thf('42',plain,
    ( ( sk__1 != n4 )
    | ( sk_ != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3138]) ).

thf(zip_derived_cl216_378,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl633_379,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_cl238,zip_derived_cl6,zip_derived_cl6]) ).

thf(zip_derived_cl638,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_cl216,zip_derived_cl633]) ).

thf(zip_derived_cl6_380,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_381,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl660,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_cl638,zip_derived_cl6,zip_derived_cl6]) ).

thf('43',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl660]) ).

thf(zip_derived_cl221_382,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3670_383,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl1037]) ).

thf(zip_derived_cl3706,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n1 ) @ ( sum @ n10 @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl3670]) ).

thf(zip_derived_cl22_384,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl113,plain,
    ( ( sum @ n8 @ n1 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_385,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_386,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_387,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl122_388,plain,
    ( ( sum @ n8 @ n10 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl101,plain,
    ( ( sum @ n7 @ n0 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3730,plain,
    ( ( ( sum @ n9 @ ( sum @ n10 @ n10 ) )
     != n7 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3706,zip_derived_cl22,zip_derived_cl113,zip_derived_cl11,zip_derived_cl22,zip_derived_cl11,zip_derived_cl122,zip_derived_cl101]) ).

thf(zip_derived_cl144_389,plain,
    ( ( sum @ n10 @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl132_390,plain,
    ( ( sum @ n9 @ n9 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3840,plain,
    ( ( n7 != n7 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3730,zip_derived_cl144,zip_derived_cl132]) ).

thf('44',plain,
    ( ( sk_ != n9 )
    | ( sk__1 != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3840]) ).

thf(zip_derived_cl144_391,plain,
    ( ( sum @ n10 @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl122_392,plain,
    ( ( sum @ n8 @ n10 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl221_393,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2489_394,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_cl26,zip_derived_cl1181]) ).

thf(zip_derived_cl2499,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_cl221,zip_derived_cl2489]) ).

thf(zip_derived_cl22_395,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_396,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_397,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_398,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2522,plain,
    ( ( ( sum @ ( sum @ n8 @ n2 ) @ ( sum @ n0 @ n10 ) )
     != ( sum @ ( sum @ n8 @ n10 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2499,zip_derived_cl22,zip_derived_cl11,zip_derived_cl22,zip_derived_cl11]) ).

thf(zip_derived_cl34,plain,
    ( ( sum @ n0 @ n10 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2950,plain,
    ( ( ( sum @ ( sum @ n8 @ n2 ) @ n10 )
     != ( sum @ ( sum @ n8 @ n10 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2522,zip_derived_cl34]) ).

thf(zip_derived_cl3475,plain,
    ( ( ( sum @ ( sum @ n8 @ n2 ) @ n10 )
     != ( sum @ n7 @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl2950]) ).

thf(zip_derived_cl114,plain,
    ( ( sum @ n8 @ n2 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl103,plain,
    ( ( sum @ n7 @ n2 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3483,plain,
    ( ( ( sum @ n10 @ n10 )
     != n9 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3475,zip_derived_cl114,zip_derived_cl103]) ).

thf(zip_derived_cl3814,plain,
    ( ( n9 != n9 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl3483]) ).

thf('45',plain,
    ( ( sk_ != n9 )
    | ( sk__1 != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3814]) ).

thf(zip_derived_cl221_399,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3556_400,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl2363]) ).

thf(zip_derived_cl3566,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n0 ) @ ( sum @ n9 @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n9 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl3556]) ).

thf(zip_derived_cl22_401,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl112,plain,
    ( ( sum @ n8 @ n0 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_402,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_403,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_404,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl122_405,plain,
    ( ( sum @ n8 @ n10 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl110_406,plain,
    ( ( sum @ n7 @ n9 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3588,plain,
    ( ( ( sum @ n8 @ ( sum @ n9 @ n10 ) )
     != n5 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3566,zip_derived_cl22,zip_derived_cl112,zip_derived_cl11,zip_derived_cl22,zip_derived_cl11,zip_derived_cl122,zip_derived_cl110]) ).

thf(zip_derived_cl133,plain,
    ( ( sum @ n9 @ n10 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl120_407,plain,
    ( ( sum @ n8 @ n8 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3664,plain,
    ( ( n5 != n5 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3588,zip_derived_cl133,zip_derived_cl120]) ).

thf('46',plain,
    ( ( sk_ != n9 )
    | ( sk__1 != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3664]) ).

thf(zip_derived_cl122_408,plain,
    ( ( sum @ n8 @ n10 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl221_409,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3357_410,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl2174]) ).

thf(zip_derived_cl3386,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n5 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl3357]) ).

thf(zip_derived_cl22_411,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_412,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_413,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_414,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3412,plain,
    ( ( ( sum @ ( sum @ n8 @ n9 ) @ ( sum @ n7 @ n10 ) )
     != ( sum @ ( sum @ n8 @ n10 ) @ n5 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3386,zip_derived_cl22,zip_derived_cl11,zip_derived_cl22,zip_derived_cl11]) ).

thf(zip_derived_cl111,plain,
    ( ( sum @ n7 @ n10 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3443,plain,
    ( ( ( sum @ ( sum @ n8 @ n9 ) @ n6 )
     != ( sum @ ( sum @ n8 @ n10 ) @ n5 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3412,zip_derived_cl111]) ).

thf(zip_derived_cl3482,plain,
    ( ( ( sum @ ( sum @ n8 @ n9 ) @ n6 )
     != ( sum @ n7 @ n5 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl3443]) ).

thf(zip_derived_cl121_415,plain,
    ( ( sum @ n8 @ n9 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl96_416,plain,
    ( ( sum @ n6 @ n6 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl106_417,plain,
    ( ( sum @ n7 @ n5 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3496,plain,
    ( ( n1 != n1 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3482,zip_derived_cl121,zip_derived_cl96,zip_derived_cl106]) ).

thf('47',plain,
    ( ( sk_ != n9 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3496]) ).

thf(zip_derived_cl122_418,plain,
    ( ( sum @ n8 @ n10 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl221_419,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3255_420,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl2032]) ).

thf(zip_derived_cl3280,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl3255]) ).

thf(zip_derived_cl22_421,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_422,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_423,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_424,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3304,plain,
    ( ( ( sum @ ( sum @ n8 @ n8 ) @ ( sum @ n6 @ n10 ) )
     != ( sum @ ( sum @ n8 @ n10 ) @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3280,zip_derived_cl22,zip_derived_cl11,zip_derived_cl22,zip_derived_cl11]) ).

thf(zip_derived_cl100_425,plain,
    ( ( sum @ n6 @ n10 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3320,plain,
    ( ( ( sum @ ( sum @ n8 @ n8 ) @ n5 )
     != ( sum @ ( sum @ n8 @ n10 ) @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3304,zip_derived_cl100]) ).

thf(zip_derived_cl3481,plain,
    ( ( ( sum @ ( sum @ n8 @ n8 ) @ n5 )
     != ( sum @ n7 @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl3320]) ).

thf(zip_derived_cl120_426,plain,
    ( ( sum @ n8 @ n8 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl84_427,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl104_428,plain,
    ( ( sum @ n7 @ n3 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3494,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3481,zip_derived_cl120,zip_derived_cl84,zip_derived_cl104]) ).

thf('48',plain,
    ( ( sk_ != n9 )
    | ( sk__1 != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3494]) ).

thf(zip_derived_cl122_429,plain,
    ( ( sum @ n8 @ n10 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl221_430,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3152_431,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl1890]) ).

thf(zip_derived_cl3173,plain,
    ( ( ( sum @ ( sum @ ( pred @ n9 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n9 ) ) )
     != ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl3152]) ).

thf(zip_derived_cl22_432,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_433,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_434,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_435,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3196,plain,
    ( ( ( sum @ ( sum @ n8 @ n7 ) @ ( sum @ n5 @ n10 ) )
     != ( sum @ ( sum @ n8 @ n10 ) @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3173,zip_derived_cl22,zip_derived_cl11,zip_derived_cl22,zip_derived_cl11]) ).

thf(zip_derived_cl89,plain,
    ( ( sum @ n5 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3212,plain,
    ( ( ( sum @ ( sum @ n8 @ n7 ) @ n4 )
     != ( sum @ ( sum @ n8 @ n10 ) @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3196,zip_derived_cl89]) ).

thf(zip_derived_cl3480,plain,
    ( ( ( sum @ ( sum @ n8 @ n7 ) @ n4 )
     != ( sum @ n7 @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl3212]) ).

thf(zip_derived_cl119,plain,
    ( ( sum @ n8 @ n7 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl72_436,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl102,plain,
    ( ( sum @ n7 @ n1 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3492,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3480,zip_derived_cl119,zip_derived_cl72,zip_derived_cl102]) ).

thf('49',plain,
    ( ( sk_ != n9 )
    | ( sk__1 != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3492]) ).

thf(zip_derived_cl122_437,plain,
    ( ( sum @ n8 @ n10 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl221_438,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3051_439,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_cl74,zip_derived_cl1748]) ).

thf(zip_derived_cl3070,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_cl221,zip_derived_cl3051]) ).

thf(zip_derived_cl22_440,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_441,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_442,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_443,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3093,plain,
    ( ( ( sum @ ( sum @ n8 @ n6 ) @ ( sum @ n4 @ n10 ) )
     != ( sum @ ( sum @ n8 @ n10 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3070,zip_derived_cl22,zip_derived_cl11,zip_derived_cl22,zip_derived_cl11]) ).

thf(zip_derived_cl78_444,plain,
    ( ( sum @ n4 @ n10 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3111,plain,
    ( ( ( sum @ ( sum @ n8 @ n6 ) @ n3 )
     != ( sum @ ( sum @ n8 @ n10 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3093,zip_derived_cl78]) ).

thf(zip_derived_cl3479,plain,
    ( ( ( sum @ ( sum @ n8 @ n6 ) @ n3 )
     != ( sum @ n7 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl3111]) ).

thf(zip_derived_cl118_445,plain,
    ( ( sum @ n8 @ n6 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl60_446,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl111_447,plain,
    ( ( sum @ n7 @ n10 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3490,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3479,zip_derived_cl118,zip_derived_cl60,zip_derived_cl111]) ).

thf('50',plain,
    ( ( sk_ != n9 )
    | ( sk__1 != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3490]) ).

thf(zip_derived_cl122_448,plain,
    ( ( sum @ n8 @ n10 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl221_449,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2776_450,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_cl38,zip_derived_cl1322]) ).

thf(zip_derived_cl2786,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_cl221,zip_derived_cl2776]) ).

thf(zip_derived_cl22_451,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_452,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl22_453,plain,
    ( ( pred @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_454,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2809,plain,
    ( ( ( sum @ ( sum @ n8 @ n3 ) @ ( sum @ n1 @ n10 ) )
     != ( sum @ ( sum @ n8 @ n10 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2786,zip_derived_cl22,zip_derived_cl11,zip_derived_cl22,zip_derived_cl11]) ).

thf(zip_derived_cl45_455,plain,
    ( ( sum @ n1 @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3015,plain,
    ( ( ( sum @ ( sum @ n8 @ n3 ) @ n0 )
     != ( sum @ ( sum @ n8 @ n10 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2809,zip_derived_cl45]) ).

thf(zip_derived_cl3476,plain,
    ( ( ( sum @ ( sum @ n8 @ n3 ) @ n0 )
     != ( sum @ n7 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl3015]) ).

thf(zip_derived_cl115_456,plain,
    ( ( sum @ n8 @ n3 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_457,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl105_458,plain,
    ( ( sum @ n7 @ n4 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3484,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3476,zip_derived_cl115,zip_derived_cl24,zip_derived_cl105]) ).

thf('51',plain,
    ( ( sk_ != n9 )
    | ( sk__1 != n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3484]) ).

thf(zip_derived_cl221_459,plain,
    ( ( sk_ = n9 )
   <= ( sk_ = n9 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl845_460,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_cl281,zip_derived_cl11,zip_derived_cl11]) ).

thf(zip_derived_cl855,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_cl221,zip_derived_cl845]) ).

thf(zip_derived_cl11_461,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl11_462,plain,
    ( ( succ @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl877,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_cl855,zip_derived_cl11,zip_derived_cl11]) ).

thf('52',plain,
    ( ( sk_ != n9 )
    | ( sk__1 != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl877]) ).

thf(zip_derived_cl144_463,plain,
    ( ( sum @ n10 @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl216_464,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3152_465,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl1890]) ).

thf(zip_derived_cl3168,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl216,zip_derived_cl3152]) ).

thf(zip_derived_cl17_466,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl64_467,plain,
    ( ( sum @ n3 @ n7 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_468,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl84_469,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_470,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_471,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl62_472,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3190,plain,
    ( ( ( sum @ n10 @ n10 )
     != ( sum @ n8 @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3168,zip_derived_cl17,zip_derived_cl64,zip_derived_cl6,zip_derived_cl84,zip_derived_cl17,zip_derived_cl6,zip_derived_cl62]) ).

thf(zip_derived_cl3808,plain,
    ( ( n9
     != ( sum @ n8 @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl3190]) ).

thf(zip_derived_cl113_473,plain,
    ( ( sum @ n8 @ n1 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3818,plain,
    ( ( n9 != n9 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3808,zip_derived_cl113]) ).

thf('53',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3818]) ).

thf(zip_derived_cl141,plain,
    ( ( sum @ n10 @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl212_474,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3152_475,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl1890]) ).

thf(zip_derived_cl3164,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl212,zip_derived_cl3152]) ).

thf(zip_derived_cl13_476,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_477,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl80,plain,
    ( ( sum @ n5 @ n1 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_478,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_479,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3186,plain,
    ( ( ( sum @ ( sum @ n10 @ n7 ) @ n6 )
     != ( sum @ ( sum @ n10 @ n1 ) @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3164,zip_derived_cl13,zip_derived_cl2,zip_derived_cl80,zip_derived_cl13,zip_derived_cl2]) ).

thf(zip_derived_cl3777,plain,
    ( ( ( sum @ n6 @ n6 )
     != ( sum @ ( sum @ n10 @ n1 ) @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl141,zip_derived_cl3186]) ).

thf(zip_derived_cl96_480,plain,
    ( ( sum @ n6 @ n6 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl135_481,plain,
    ( ( sum @ n10 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl25,plain,
    ( ( sum @ n0 @ n1 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3779,plain,
    ( ( n1 != n1 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3777,zip_derived_cl96,zip_derived_cl135,zip_derived_cl25]) ).

thf('54',plain,
    ( ( sk__1 != n6 )
    | ( sk_ != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3779]) ).

thf(zip_derived_cl135_482,plain,
    ( ( sum @ n10 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl217_483,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3152_484,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl1890]) ).

thf(zip_derived_cl3169,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl217,zip_derived_cl3152]) ).

thf(zip_derived_cl18_485,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl75_486,plain,
    ( ( sum @ n4 @ n7 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_487,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl85_488,plain,
    ( ( sum @ n5 @ n6 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_489,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_490,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_491,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl74_492,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3191,plain,
    ( ( n0
     != ( sum @ n10 @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3169,zip_derived_cl18,zip_derived_cl75,zip_derived_cl7,zip_derived_cl85,zip_derived_cl24,zip_derived_cl18,zip_derived_cl7,zip_derived_cl74]) ).

thf(zip_derived_cl3674,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl3191]) ).

thf('55',plain,
    ( ( sk__1 != n6 )
    | ( sk_ != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3674]) ).

thf(zip_derived_cl132_493,plain,
    ( ( sum @ n9 @ n9 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl215_494,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3152_495,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl1890]) ).

thf(zip_derived_cl3167,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl215,zip_derived_cl3152]) ).

thf(zip_derived_cl16_496,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl53_497,plain,
    ( ( sum @ n2 @ n7 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_498,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl83_499,plain,
    ( ( sum @ n5 @ n4 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_500,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_501,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl50_502,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3189,plain,
    ( ( ( sum @ n9 @ n9 )
     != ( sum @ n6 @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3167,zip_derived_cl16,zip_derived_cl53,zip_derived_cl5,zip_derived_cl83,zip_derived_cl16,zip_derived_cl5,zip_derived_cl50]) ).

thf(zip_derived_cl3640,plain,
    ( ( n7
     != ( sum @ n6 @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl3189]) ).

thf(zip_derived_cl91_503,plain,
    ( ( sum @ n6 @ n1 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3651,plain,
    ( ( n7 != n7 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3640,zip_derived_cl91]) ).

thf('56',plain,
    ( ( sk__1 != n6 )
    | ( sk_ != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3651]) ).

thf(zip_derived_cl130,plain,
    ( ( sum @ n9 @ n7 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl222_504,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3152_505,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl1890]) ).

thf(zip_derived_cl3174,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl3152]) ).

thf(zip_derived_cl23_506,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_507,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl79,plain,
    ( ( sum @ n5 @ n0 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_508,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_509,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3197,plain,
    ( ( ( sum @ ( sum @ n9 @ n7 ) @ n5 )
     != ( sum @ ( sum @ n9 @ n0 ) @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3174,zip_derived_cl23,zip_derived_cl12,zip_derived_cl79,zip_derived_cl23,zip_derived_cl12]) ).

thf(zip_derived_cl3620,plain,
    ( ( ( sum @ n5 @ n5 )
     != ( sum @ ( sum @ n9 @ n0 ) @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl3197]) ).

thf(zip_derived_cl84_510,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl123_511,plain,
    ( ( sum @ n9 @ n0 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl124,plain,
    ( ( sum @ n9 @ n1 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3621,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3620,zip_derived_cl84,zip_derived_cl123,zip_derived_cl124]) ).

thf('57',plain,
    ( ( sk__1 != n6 )
    | ( sk_ != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3621]) ).

thf(zip_derived_cl120_512,plain,
    ( ( sum @ n8 @ n8 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl214_513,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3152_514,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl1890]) ).

thf(zip_derived_cl3166,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl214,zip_derived_cl3152]) ).

thf(zip_derived_cl15_515,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl42,plain,
    ( ( sum @ n1 @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_516,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl82,plain,
    ( ( sum @ n5 @ n3 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl15_517,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_518,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl38_519,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl69,plain,
    ( ( sum @ n4 @ n1 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3188,plain,
    ( ( ( sum @ n8 @ n8 )
     != n5 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3166,zip_derived_cl15,zip_derived_cl42,zip_derived_cl4,zip_derived_cl82,zip_derived_cl15,zip_derived_cl4,zip_derived_cl38,zip_derived_cl69]) ).

thf(zip_derived_cl3460,plain,
    ( ( n5 != n5 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl3188]) ).

thf('58',plain,
    ( ( sk__1 != n6 )
    | ( sk_ != n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3460]) ).

thf(zip_derived_cl110_520,plain,
    ( ( sum @ n7 @ n9 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl220_521,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3152_522,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl1890]) ).

thf(zip_derived_cl3172,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl220,zip_derived_cl3152]) ).

thf(zip_derived_cl21_523,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_524,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_525,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_526,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3195,plain,
    ( ( ( sum @ ( sum @ n7 @ n7 ) @ ( sum @ n5 @ n9 ) )
     != ( sum @ ( sum @ n7 @ n9 ) @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3172,zip_derived_cl21,zip_derived_cl10,zip_derived_cl21,zip_derived_cl10]) ).

thf(zip_derived_cl88,plain,
    ( ( sum @ n5 @ n9 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3211,plain,
    ( ( ( sum @ ( sum @ n7 @ n7 ) @ n3 )
     != ( sum @ ( sum @ n7 @ n9 ) @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3195,zip_derived_cl88]) ).

thf(zip_derived_cl3363,plain,
    ( ( ( sum @ ( sum @ n7 @ n7 ) @ n3 )
     != ( sum @ n5 @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl3211]) ).

thf(zip_derived_cl108_527,plain,
    ( ( sum @ n7 @ n7 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl60_528,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl80_529,plain,
    ( ( sum @ n5 @ n1 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3373,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3363,zip_derived_cl108,zip_derived_cl60,zip_derived_cl80]) ).

thf('59',plain,
    ( ( sk__1 != n6 )
    | ( sk_ != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3373]) ).

thf(zip_derived_cl108_530,plain,
    ( ( sum @ n7 @ n7 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl213_531,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3152_532,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
   <= ( sk__1 = n6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl1890]) ).

thf(zip_derived_cl3165,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n1 ) )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl3152]) ).

thf(zip_derived_cl14_533,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl31,plain,
    ( ( sum @ n0 @ n7 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_534,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl81,plain,
    ( ( sum @ n5 @ n2 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_535,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_536,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_537,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl47_538,plain,
    ( ( sum @ n2 @ n1 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3187,plain,
    ( ( ( sum @ n7 @ n7 )
     != n3 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3165,zip_derived_cl14,zip_derived_cl31,zip_derived_cl3,zip_derived_cl81,zip_derived_cl14,zip_derived_cl3,zip_derived_cl26,zip_derived_cl47]) ).

thf(zip_derived_cl3344,plain,
    ( ( n3 != n3 )
   <= ( ( sk__1 = n6 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl3187]) ).

thf('60',plain,
    ( ( sk__1 != n6 )
    | ( sk_ != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3344]) ).

thf(zip_derived_cl218_539,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl715_540,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_cl251,zip_derived_cl8,zip_derived_cl8]) ).

thf(zip_derived_cl722,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_cl218,zip_derived_cl715]) ).

thf(zip_derived_cl8_541,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_542,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl744,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_cl722,zip_derived_cl8,zip_derived_cl8]) ).

thf('61',plain,
    ( ( sk__1 != n6 )
    | ( sk_ != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl744]) ).

thf(zip_derived_cl217_543,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3556_544,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl2363]) ).

thf(zip_derived_cl3562,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n0 ) @ ( sum @ n9 @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n9 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl217,zip_derived_cl3556]) ).

thf(zip_derived_cl18_545,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl68,plain,
    ( ( sum @ n4 @ n0 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_546,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_547,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_548,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl74_549,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3584,plain,
    ( ( ( sum @ n4 @ ( sum @ n9 @ n6 ) )
     != ( sum @ n10 @ n9 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3562,zip_derived_cl18,zip_derived_cl68,zip_derived_cl7,zip_derived_cl18,zip_derived_cl7,zip_derived_cl74]) ).

thf(zip_derived_cl129_550,plain,
    ( ( sum @ n9 @ n6 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl72_551,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl143,plain,
    ( ( sum @ n10 @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3860,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3584,zip_derived_cl129,zip_derived_cl72,zip_derived_cl143]) ).

thf('62',plain,
    ( ( sk_ != n5 )
    | ( sk__1 != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3860]) ).

thf(zip_derived_cl135_552,plain,
    ( ( sum @ n10 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl201_553,plain,
    ( ( sk__1 = n0 )
   <= ( sk__1 = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl18_554,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl217_555,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl0_556,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_cl337,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_cl217,zip_derived_cl0]) ).

thf(zip_derived_cl7_557,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_558,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1416,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_cl337,zip_derived_cl7,zip_derived_cl7]) ).

thf(zip_derived_cl1749,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_cl18,zip_derived_cl1416]) ).

thf(zip_derived_cl1796,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_cl201,zip_derived_cl1749]) ).

thf(zip_derived_cl2_559,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_560,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_561,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_562,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1818,plain,
    ( ( ( sum @ ( sum @ n4 @ n1 ) @ ( sum @ n10 @ n6 ) )
     != ( sum @ ( sum @ n4 @ n6 ) @ ( sum @ n10 @ n1 ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1796,zip_derived_cl2,zip_derived_cl13,zip_derived_cl13,zip_derived_cl2]) ).

thf(zip_derived_cl69_563,plain,
    ( ( sum @ n4 @ n1 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl74_564,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3334,plain,
    ( ( ( sum @ n5 @ ( sum @ n10 @ n6 ) )
     != ( sum @ n10 @ ( sum @ n10 @ n1 ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1818,zip_derived_cl69,zip_derived_cl74]) ).

thf(zip_derived_cl3676,plain,
    ( ( ( sum @ n5 @ ( sum @ n10 @ n6 ) )
     != ( sum @ n10 @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl3334]) ).

thf(zip_derived_cl134,plain,
    ( ( sum @ n10 @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3682,plain,
    ( ( ( sum @ n5 @ ( sum @ n10 @ n6 ) )
     != n10 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3676,zip_derived_cl134]) ).

thf(zip_derived_cl140_565,plain,
    ( ( sum @ n10 @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl84_566,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3794,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3682,zip_derived_cl140,zip_derived_cl84]) ).

thf('63',plain,
    ( ( sk_ != n5 )
    | ( sk__1 != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3794]) ).

thf(zip_derived_cl141_567,plain,
    ( ( sum @ n10 @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl217_568,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3474_569,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl2268]) ).

thf(zip_derived_cl3503,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n7 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl217,zip_derived_cl3474]) ).

thf(zip_derived_cl18_570,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl78_571,plain,
    ( ( sum @ n4 @ n10 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_572,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl118_573,plain,
    ( ( sum @ n8 @ n6 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl60_574,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_575,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_576,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl74_577,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3528,plain,
    ( ( n6
     != ( sum @ n10 @ n7 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3503,zip_derived_cl18,zip_derived_cl78,zip_derived_cl7,zip_derived_cl118,zip_derived_cl60,zip_derived_cl18,zip_derived_cl7,zip_derived_cl74]) ).

thf(zip_derived_cl3778,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl141,zip_derived_cl3528]) ).

thf('64',plain,
    ( ( sk_ != n5 )
    | ( sk__1 != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3778]) ).

thf(zip_derived_cl139_578,plain,
    ( ( sum @ n10 @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl217_579,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3357_580,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl2174]) ).

thf(zip_derived_cl3382,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n5 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl217,zip_derived_cl3357]) ).

thf(zip_derived_cl18_581,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl77_582,plain,
    ( ( sum @ n4 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_583,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl107_584,plain,
    ( ( sum @ n7 @ n6 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl48_585,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_586,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_587,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl74_588,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3405,plain,
    ( ( n4
     != ( sum @ n10 @ n5 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3382,zip_derived_cl18,zip_derived_cl77,zip_derived_cl7,zip_derived_cl107,zip_derived_cl48,zip_derived_cl18,zip_derived_cl7,zip_derived_cl74]) ).

thf(zip_derived_cl3759,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl3405]) ).

thf('65',plain,
    ( ( sk_ != n5 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3759]) ).

thf(zip_derived_cl138_589,plain,
    ( ( sum @ n10 @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl74_590,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl217_591,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2776_592,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_cl38,zip_derived_cl1322]) ).

thf(zip_derived_cl2782,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_cl217,zip_derived_cl2776]) ).

thf(zip_derived_cl18_593,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_594,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_595,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_596,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2805,plain,
    ( ( ( sum @ ( sum @ n4 @ n3 ) @ ( sum @ n1 @ n6 ) )
     != ( sum @ ( sum @ n4 @ n6 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2782,zip_derived_cl18,zip_derived_cl7,zip_derived_cl18,zip_derived_cl7]) ).

thf(zip_derived_cl41_597,plain,
    ( ( sum @ n1 @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3011,plain,
    ( ( ( sum @ ( sum @ n4 @ n3 ) @ n7 )
     != ( sum @ ( sum @ n4 @ n6 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2805,zip_derived_cl41]) ).

thf(zip_derived_cl3053,plain,
    ( ( ( sum @ ( sum @ n4 @ n3 ) @ n7 )
     != ( sum @ n10 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl3011]) ).

thf(zip_derived_cl71_598,plain,
    ( ( sum @ n4 @ n3 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3058,plain,
    ( ( ( sum @ n7 @ n7 )
     != ( sum @ n10 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3053,zip_derived_cl71]) ).

thf(zip_derived_cl3751,plain,
    ( ( ( sum @ n7 @ n7 )
     != n3 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl3058]) ).

thf(zip_derived_cl108_599,plain,
    ( ( sum @ n7 @ n7 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3755,plain,
    ( ( n3 != n3 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3751,zip_derived_cl108]) ).

thf('66',plain,
    ( ( sk_ != n5 )
    | ( sk__1 != n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3755]) ).

thf(zip_derived_cl137,plain,
    ( ( sum @ n10 @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl217_600,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3255_601,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl2032]) ).

thf(zip_derived_cl3276,plain,
    ( ( ( sum @ ( sum @ ( pred @ n5 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n5 ) ) )
     != ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl217,zip_derived_cl3255]) ).

thf(zip_derived_cl18_602,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl76_603,plain,
    ( ( sum @ n4 @ n8 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_604,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl96_605,plain,
    ( ( sum @ n6 @ n6 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_606,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_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_cl74_609,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3298,plain,
    ( ( n2
     != ( sum @ n10 @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3276,zip_derived_cl18,zip_derived_cl76,zip_derived_cl7,zip_derived_cl96,zip_derived_cl36,zip_derived_cl18,zip_derived_cl7,zip_derived_cl74]) ).

thf(zip_derived_cl3746,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl3298]) ).

thf('67',plain,
    ( ( sk_ != n5 )
    | ( sk__1 != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3746]) ).

thf(zip_derived_cl136,plain,
    ( ( sum @ n10 @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl74_610,plain,
    ( ( sum @ n4 @ n6 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl217_611,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2489_612,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_cl26,zip_derived_cl1181]) ).

thf(zip_derived_cl2495,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_cl217,zip_derived_cl2489]) ).

thf(zip_derived_cl18_613,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_614,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl18_615,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_616,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2518,plain,
    ( ( ( sum @ ( sum @ n4 @ n2 ) @ ( sum @ n0 @ n6 ) )
     != ( sum @ ( sum @ n4 @ n6 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2495,zip_derived_cl18,zip_derived_cl7,zip_derived_cl18,zip_derived_cl7]) ).

thf(zip_derived_cl30_617,plain,
    ( ( sum @ n0 @ n6 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2943,plain,
    ( ( ( sum @ ( sum @ n4 @ n2 ) @ n6 )
     != ( sum @ ( sum @ n4 @ n6 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2518,zip_derived_cl30]) ).

thf(zip_derived_cl3052,plain,
    ( ( ( sum @ ( sum @ n4 @ n2 ) @ n6 )
     != ( sum @ n10 @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl2943]) ).

thf(zip_derived_cl70_618,plain,
    ( ( sum @ n4 @ n2 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3057,plain,
    ( ( ( sum @ n6 @ n6 )
     != ( sum @ n10 @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3052,zip_derived_cl70]) ).

thf(zip_derived_cl3690,plain,
    ( ( ( sum @ n6 @ n6 )
     != n1 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl3057]) ).

thf(zip_derived_cl96_619,plain,
    ( ( sum @ n6 @ n6 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3694,plain,
    ( ( n1 != n1 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3690,zip_derived_cl96]) ).

thf('68',plain,
    ( ( sk_ != n5 )
    | ( sk__1 != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3694]) ).

thf(zip_derived_cl217_620,plain,
    ( ( sk_ = n5 )
   <= ( sk_ = n5 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl673_621,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_cl244,zip_derived_cl7,zip_derived_cl7]) ).

thf(zip_derived_cl679,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_cl217,zip_derived_cl673]) ).

thf(zip_derived_cl7_622,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl7_623,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl701,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_cl679,zip_derived_cl7,zip_derived_cl7]) ).

thf('69',plain,
    ( ( sk_ != n5 )
    | ( sk__1 != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl701]) ).

thf(zip_derived_cl220_624,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3670_625,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl1037]) ).

thf(zip_derived_cl3705,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n1 ) @ ( sum @ n10 @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl220,zip_derived_cl3670]) ).

thf(zip_derived_cl21_626,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl102_627,plain,
    ( ( sum @ n7 @ n1 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_628,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_629,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_630,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl110_631,plain,
    ( ( sum @ n7 @ n9 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl79_632,plain,
    ( ( sum @ n5 @ n0 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3729,plain,
    ( ( ( sum @ n8 @ ( sum @ n10 @ n9 ) )
     != n5 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3705,zip_derived_cl21,zip_derived_cl102,zip_derived_cl10,zip_derived_cl21,zip_derived_cl10,zip_derived_cl110,zip_derived_cl79]) ).

thf(zip_derived_cl143_633,plain,
    ( ( sum @ n10 @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl120_634,plain,
    ( ( sum @ n8 @ n8 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3836,plain,
    ( ( n5 != n5 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3729,zip_derived_cl143,zip_derived_cl120]) ).

thf('70',plain,
    ( ( sk__1 != n0 )
    | ( sk_ != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3836]) ).

thf(zip_derived_cl218_635,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3670_636,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl1037]) ).

thf(zip_derived_cl3703,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n1 ) @ ( sum @ n10 @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl218,zip_derived_cl3670]) ).

thf(zip_derived_cl19_637,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl80_638,plain,
    ( ( sum @ n5 @ n1 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_639,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_640,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_641,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl86_642,plain,
    ( ( sum @ n5 @ n7 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl35_643,plain,
    ( ( sum @ n1 @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3727,plain,
    ( ( ( sum @ n6 @ ( sum @ n10 @ n7 ) )
     != n1 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3703,zip_derived_cl19,zip_derived_cl80,zip_derived_cl8,zip_derived_cl19,zip_derived_cl8,zip_derived_cl86,zip_derived_cl35]) ).

thf(zip_derived_cl141_644,plain,
    ( ( sum @ n10 @ n7 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl96_645,plain,
    ( ( sum @ n6 @ n6 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3832,plain,
    ( ( n1 != n1 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3727,zip_derived_cl141,zip_derived_cl96]) ).

thf('71',plain,
    ( ( sk__1 != n0 )
    | ( sk_ != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3832]) ).

thf(zip_derived_cl144_646,plain,
    ( ( sum @ n10 @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl222_647,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3670_648,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl1037]) ).

thf(zip_derived_cl3707,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n1 ) @ ( sum @ n10 @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl3670]) ).

thf(zip_derived_cl23_649,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl124_650,plain,
    ( ( sum @ n9 @ n1 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_651,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl134_652,plain,
    ( ( sum @ n10 @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_653,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_654,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl123_655,plain,
    ( ( sum @ n9 @ n0 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl123_656,plain,
    ( ( sum @ n9 @ n0 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3731,plain,
    ( ( ( sum @ n10 @ n10 )
     != n9 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3707,zip_derived_cl23,zip_derived_cl124,zip_derived_cl12,zip_derived_cl134,zip_derived_cl23,zip_derived_cl12,zip_derived_cl123,zip_derived_cl123]) ).

thf(zip_derived_cl3816,plain,
    ( ( n9 != n9 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl3731]) ).

thf('72',plain,
    ( ( sk__1 != n0 )
    | ( sk_ != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3816]) ).

thf(zip_derived_cl135_657,plain,
    ( ( sum @ n10 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl201_658,plain,
    ( ( sk__1 = n0 )
   <= ( sk__1 = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl17_659,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl216_660,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl0_661,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_cl330,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_cl216,zip_derived_cl0]) ).

thf(zip_derived_cl6_662,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_663,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1274,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_cl330,zip_derived_cl6,zip_derived_cl6]) ).

thf(zip_derived_cl1607,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_cl17,zip_derived_cl1274]) ).

thf(zip_derived_cl1654,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_cl201,zip_derived_cl1607]) ).

thf(zip_derived_cl2_664,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_665,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_666,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_667,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1676,plain,
    ( ( ( sum @ ( sum @ n3 @ n1 ) @ ( sum @ n10 @ n5 ) )
     != ( sum @ ( sum @ n3 @ n5 ) @ ( sum @ n10 @ n1 ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1654,zip_derived_cl2,zip_derived_cl13,zip_derived_cl13,zip_derived_cl2]) ).

thf(zip_derived_cl58_668,plain,
    ( ( sum @ n3 @ n1 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl62_669,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3239,plain,
    ( ( ( sum @ n4 @ ( sum @ n10 @ n5 ) )
     != ( sum @ n8 @ ( sum @ n10 @ n1 ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1676,zip_derived_cl58,zip_derived_cl62]) ).

thf(zip_derived_cl3675,plain,
    ( ( ( sum @ n4 @ ( sum @ n10 @ n5 ) )
     != ( sum @ n8 @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl3239]) ).

thf(zip_derived_cl112_670,plain,
    ( ( sum @ n8 @ n0 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3681,plain,
    ( ( ( sum @ n4 @ ( sum @ n10 @ n5 ) )
     != n8 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3675,zip_derived_cl112]) ).

thf(zip_derived_cl139_671,plain,
    ( ( sum @ n10 @ n5 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl72_672,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3792,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3681,zip_derived_cl139,zip_derived_cl72]) ).

thf('73',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3792]) ).

thf(zip_derived_cl135_673,plain,
    ( ( sum @ n10 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl201_674,plain,
    ( ( sk__1 = n0 )
   <= ( sk__1 = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl16_675,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl215_676,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl0_677,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_cl322,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_cl215,zip_derived_cl0]) ).

thf(zip_derived_cl5_678,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_679,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1130,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_cl322,zip_derived_cl5,zip_derived_cl5]) ).

thf(zip_derived_cl1465,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_cl16,zip_derived_cl1130]) ).

thf(zip_derived_cl1512,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_cl201,zip_derived_cl1465]) ).

thf(zip_derived_cl2_680,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_681,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_682,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_683,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1534,plain,
    ( ( ( sum @ ( sum @ n2 @ n1 ) @ ( sum @ n10 @ n4 ) )
     != ( sum @ ( sum @ n2 @ n4 ) @ ( sum @ n10 @ n1 ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1512,zip_derived_cl2,zip_derived_cl13,zip_derived_cl13,zip_derived_cl2]) ).

thf(zip_derived_cl47_684,plain,
    ( ( sum @ n2 @ n1 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl50_685,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3148,plain,
    ( ( ( sum @ n3 @ ( sum @ n10 @ n4 ) )
     != ( sum @ n6 @ ( sum @ n10 @ n1 ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1534,zip_derived_cl47,zip_derived_cl50]) ).

thf(zip_derived_cl3673,plain,
    ( ( ( sum @ n3 @ ( sum @ n10 @ n4 ) )
     != ( sum @ n6 @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl3148]) ).

thf(zip_derived_cl90_686,plain,
    ( ( sum @ n6 @ n0 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3679,plain,
    ( ( ( sum @ n3 @ ( sum @ n10 @ n4 ) )
     != n6 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3673,zip_derived_cl90]) ).

thf(zip_derived_cl138_687,plain,
    ( ( sum @ n10 @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl60_688,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3784,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3679,zip_derived_cl138,zip_derived_cl60]) ).

thf('74',plain,
    ( ( sk__1 != n0 )
    | ( sk_ != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3784]) ).

thf(zip_derived_cl135_689,plain,
    ( ( sum @ n10 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl201_690,plain,
    ( ( sk__1 = n0 )
   <= ( sk__1 = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl15_691,plain,
    ( ( pred @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl214_692,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl0_693,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_cl317,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_cl214,zip_derived_cl0]) ).

thf(zip_derived_cl4_694,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_695,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl983,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_cl317,zip_derived_cl4,zip_derived_cl4]) ).

thf(zip_derived_cl1323,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_cl15,zip_derived_cl983]) ).

thf(zip_derived_cl1370,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_cl201,zip_derived_cl1323]) ).

thf(zip_derived_cl2_696,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_697,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_698,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_699,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl1392,plain,
    ( ( ( sum @ ( sum @ n1 @ n1 ) @ ( sum @ n10 @ n3 ) )
     != ( sum @ ( sum @ n1 @ n3 ) @ ( sum @ n10 @ n1 ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1370,zip_derived_cl2,zip_derived_cl13,zip_derived_cl13,zip_derived_cl2]) ).

thf(zip_derived_cl36_700,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl38_701,plain,
    ( ( sum @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3126,plain,
    ( ( ( sum @ n2 @ ( sum @ n10 @ n3 ) )
     != ( sum @ n4 @ ( sum @ n10 @ n1 ) ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1392,zip_derived_cl36,zip_derived_cl38]) ).

thf(zip_derived_cl3672,plain,
    ( ( ( sum @ n2 @ ( sum @ n10 @ n3 ) )
     != ( sum @ n4 @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl3126]) ).

thf(zip_derived_cl68_702,plain,
    ( ( sum @ n4 @ n0 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3678,plain,
    ( ( ( sum @ n2 @ ( sum @ n10 @ n3 ) )
     != n4 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3672,zip_derived_cl68]) ).

thf(zip_derived_cl137_703,plain,
    ( ( sum @ n10 @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl48_704,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3782,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3678,zip_derived_cl137,zip_derived_cl48]) ).

thf('75',plain,
    ( ( sk__1 != n0 )
    | ( sk_ != n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3782]) ).

thf(zip_derived_cl213_705,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3670_706,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
   <= ( sk__1 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl1037]) ).

thf(zip_derived_cl3698,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n1 ) @ ( sum @ n10 @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n0 ) )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl3670]) ).

thf(zip_derived_cl14_707,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl25_708,plain,
    ( ( sum @ n0 @ n1 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_709,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl136_710,plain,
    ( ( sum @ n10 @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_711,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_712,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_713,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_714,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl46_715,plain,
    ( ( sum @ n2 @ n0 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3721,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n0 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3698,zip_derived_cl14,zip_derived_cl25,zip_derived_cl3,zip_derived_cl136,zip_derived_cl36,zip_derived_cl14,zip_derived_cl3,zip_derived_cl26,zip_derived_cl46]) ).

thf('76',plain,
    ( ( sk__1 != n0 )
    | ( sk_ != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3721]) ).

thf(zip_derived_cl201_716,plain,
    ( ( sk__1 = n0 )
   <= ( sk__1 = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl212_717,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl0_718,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_cl307,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_cl212,zip_derived_cl0]) ).

thf(zip_derived_cl2_719,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_720,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl309,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_cl307,zip_derived_cl2,zip_derived_cl2]) ).

thf(zip_derived_cl404,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_cl201,zip_derived_cl309]) ).

thf(zip_derived_cl2_721,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_722,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl426,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_cl404,zip_derived_cl2,zip_derived_cl2]) ).

thf('77',plain,
    ( ( sk__1 != n0 )
    | ( sk_ != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl426]) ).

thf(zip_derived_cl144_723,plain,
    ( ( sum @ n10 @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl110_724,plain,
    ( ( sum @ n7 @ n9 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl220_725,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2776_726,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_cl38,zip_derived_cl1322]) ).

thf(zip_derived_cl2785,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_cl220,zip_derived_cl2776]) ).

thf(zip_derived_cl21_727,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_728,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_729,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_730,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2808,plain,
    ( ( ( sum @ ( sum @ n7 @ n3 ) @ ( sum @ n1 @ n9 ) )
     != ( sum @ ( sum @ n7 @ n9 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2785,zip_derived_cl21,zip_derived_cl10,zip_derived_cl21,zip_derived_cl10]) ).

thf(zip_derived_cl44_731,plain,
    ( ( sum @ n1 @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3014,plain,
    ( ( ( sum @ ( sum @ n7 @ n3 ) @ n10 )
     != ( sum @ ( sum @ n7 @ n9 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2808,zip_derived_cl44]) ).

thf(zip_derived_cl3359,plain,
    ( ( ( sum @ ( sum @ n7 @ n3 ) @ n10 )
     != ( sum @ n5 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl3014]) ).

thf(zip_derived_cl104_732,plain,
    ( ( sum @ n7 @ n3 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl83_733,plain,
    ( ( sum @ n5 @ n4 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3366,plain,
    ( ( ( sum @ n10 @ n10 )
     != n9 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3359,zip_derived_cl104,zip_derived_cl83]) ).

thf(zip_derived_cl3811,plain,
    ( ( n9 != n9 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl3366]) ).

thf('78',plain,
    ( ( sk_ != n8 )
    | ( sk__1 != n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3811]) ).

thf(zip_derived_cl132_734,plain,
    ( ( sum @ n9 @ n9 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl220_735,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3556_736,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl2363]) ).

thf(zip_derived_cl3565,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n0 ) @ ( sum @ n9 @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n9 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl220,zip_derived_cl3556]) ).

thf(zip_derived_cl21_737,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl101_738,plain,
    ( ( sum @ n7 @ n0 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_739,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_740,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_741,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl110_742,plain,
    ( ( sum @ n7 @ n9 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl88_743,plain,
    ( ( sum @ n5 @ n9 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3587,plain,
    ( ( ( sum @ n7 @ ( sum @ n9 @ n9 ) )
     != n3 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3565,zip_derived_cl21,zip_derived_cl101,zip_derived_cl10,zip_derived_cl21,zip_derived_cl10,zip_derived_cl110,zip_derived_cl88]) ).

thf(zip_derived_cl3647,plain,
    ( ( ( sum @ n7 @ n7 )
     != n3 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl3587]) ).

thf(zip_derived_cl108_744,plain,
    ( ( sum @ n7 @ n7 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3660,plain,
    ( ( n3 != n3 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3647,zip_derived_cl108]) ).

thf('79',plain,
    ( ( sk_ != n8 )
    | ( sk__1 != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3660]) ).

thf(zip_derived_cl132_745,plain,
    ( ( sum @ n9 @ n9 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl110_746,plain,
    ( ( sum @ n7 @ n9 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl220_747,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2489_748,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_cl26,zip_derived_cl1181]) ).

thf(zip_derived_cl2498,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_cl220,zip_derived_cl2489]) ).

thf(zip_derived_cl21_749,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_750,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_751,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_752,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2521,plain,
    ( ( ( sum @ ( sum @ n7 @ n2 ) @ ( sum @ n0 @ n9 ) )
     != ( sum @ ( sum @ n7 @ n9 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2498,zip_derived_cl21,zip_derived_cl10,zip_derived_cl21,zip_derived_cl10]) ).

thf(zip_derived_cl33,plain,
    ( ( sum @ n0 @ n9 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2946,plain,
    ( ( ( sum @ ( sum @ n7 @ n2 ) @ n9 )
     != ( sum @ ( sum @ n7 @ n9 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2521,zip_derived_cl33]) ).

thf(zip_derived_cl3358,plain,
    ( ( ( sum @ ( sum @ n7 @ n2 ) @ n9 )
     != ( sum @ n5 @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl2946]) ).

thf(zip_derived_cl103_753,plain,
    ( ( sum @ n7 @ n2 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl81_754,plain,
    ( ( sum @ n5 @ n2 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3365,plain,
    ( ( ( sum @ n9 @ n9 )
     != n7 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3358,zip_derived_cl103,zip_derived_cl81]) ).

thf(zip_derived_cl3643,plain,
    ( ( n7 != n7 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl3365]) ).

thf('80',plain,
    ( ( sk_ != n8 )
    | ( sk__1 != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3643]) ).

thf(zip_derived_cl220_755,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3474_756,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl2268]) ).

thf(zip_derived_cl3506,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n7 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl220,zip_derived_cl3474]) ).

thf(zip_derived_cl21_757,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl111_758,plain,
    ( ( sum @ n7 @ n10 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_759,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl121_760,plain,
    ( ( sum @ n8 @ n9 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl96_761,plain,
    ( ( sum @ n6 @ n6 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_762,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_763,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl110_764,plain,
    ( ( sum @ n7 @ n9 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl86_765,plain,
    ( ( sum @ n5 @ n7 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3533,plain,
    ( ( n1 != n1 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3506,zip_derived_cl21,zip_derived_cl111,zip_derived_cl10,zip_derived_cl121,zip_derived_cl96,zip_derived_cl21,zip_derived_cl10,zip_derived_cl110,zip_derived_cl86]) ).

thf('81',plain,
    ( ( sk_ != n8 )
    | ( sk__1 != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3533]) ).

thf(zip_derived_cl110_766,plain,
    ( ( sum @ n7 @ n9 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl220_767,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3255_768,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
   <= ( sk__1 = n7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl2032]) ).

thf(zip_derived_cl3279,plain,
    ( ( ( sum @ ( sum @ ( pred @ n8 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n8 ) ) )
     != ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl220,zip_derived_cl3255]) ).

thf(zip_derived_cl21_769,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_770,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_771,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_772,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3303,plain,
    ( ( ( sum @ ( sum @ n7 @ n8 ) @ ( sum @ n6 @ n9 ) )
     != ( sum @ ( sum @ n7 @ n9 ) @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3279,zip_derived_cl21,zip_derived_cl10,zip_derived_cl21,zip_derived_cl10]) ).

thf(zip_derived_cl99_773,plain,
    ( ( sum @ n6 @ n9 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3319,plain,
    ( ( ( sum @ ( sum @ n7 @ n8 ) @ n4 )
     != ( sum @ ( sum @ n7 @ n9 ) @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3303,zip_derived_cl99]) ).

thf(zip_derived_cl3364,plain,
    ( ( ( sum @ ( sum @ n7 @ n8 ) @ n4 )
     != ( sum @ n5 @ n3 ) )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl3319]) ).

thf(zip_derived_cl109_774,plain,
    ( ( sum @ n7 @ n8 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl72_775,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl82_776,plain,
    ( ( sum @ n5 @ n3 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3375,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n7 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3364,zip_derived_cl109,zip_derived_cl72,zip_derived_cl82]) ).

thf('82',plain,
    ( ( sk_ != n8 )
    | ( sk__1 != n7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3375]) ).

thf(zip_derived_cl110_777,plain,
    ( ( sum @ n7 @ n9 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl220_778,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3051_779,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_cl74,zip_derived_cl1748]) ).

thf(zip_derived_cl3069,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_cl220,zip_derived_cl3051]) ).

thf(zip_derived_cl21_780,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_781,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl21_782,plain,
    ( ( pred @ n8 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_783,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3092,plain,
    ( ( ( sum @ ( sum @ n7 @ n6 ) @ ( sum @ n4 @ n9 ) )
     != ( sum @ ( sum @ n7 @ n9 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3069,zip_derived_cl21,zip_derived_cl10,zip_derived_cl21,zip_derived_cl10]) ).

thf(zip_derived_cl77_784,plain,
    ( ( sum @ n4 @ n9 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3110,plain,
    ( ( ( sum @ ( sum @ n7 @ n6 ) @ n2 )
     != ( sum @ ( sum @ n7 @ n9 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3092,zip_derived_cl77]) ).

thf(zip_derived_cl3362,plain,
    ( ( ( sum @ ( sum @ n7 @ n6 ) @ n2 )
     != ( sum @ n5 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl3110]) ).

thf(zip_derived_cl107_785,plain,
    ( ( sum @ n7 @ n6 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl48_786,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl89_787,plain,
    ( ( sum @ n5 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3371,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3362,zip_derived_cl107,zip_derived_cl48,zip_derived_cl89]) ).

thf('83',plain,
    ( ( sk_ != n8 )
    | ( sk__1 != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3371]) ).

thf(zip_derived_cl220_788,plain,
    ( ( sk_ = n8 )
   <= ( sk_ = n8 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl801_789,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_cl271,zip_derived_cl10,zip_derived_cl10]) ).

thf(zip_derived_cl810,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_cl220,zip_derived_cl801]) ).

thf(zip_derived_cl10_790,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl10_791,plain,
    ( ( succ @ n8 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl832,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_cl810,zip_derived_cl10,zip_derived_cl10]) ).

thf('84',plain,
    ( ( sk_ != n8 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl832]) ).

thf(zip_derived_cl137_792,plain,
    ( ( sum @ n10 @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl212_793,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2776_794,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_cl38,zip_derived_cl1322]) ).

thf(zip_derived_cl2777,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_cl212,zip_derived_cl2776]) ).

thf(zip_derived_cl13_795,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_796,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_797,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_798,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_799,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2799,plain,
    ( ( ( sum @ ( sum @ n10 @ n3 ) @ n2 )
     != ( sum @ ( sum @ n10 @ n1 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2777,zip_derived_cl13,zip_derived_cl2,zip_derived_cl36,zip_derived_cl13,zip_derived_cl2]) ).

thf(zip_derived_cl3745,plain,
    ( ( ( sum @ n2 @ n2 )
     != ( sum @ ( sum @ n10 @ n1 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl2799]) ).

thf(zip_derived_cl48_800,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl135_801,plain,
    ( ( sum @ n10 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl28_802,plain,
    ( ( sum @ n0 @ n4 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3747,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3745,zip_derived_cl48,zip_derived_cl135,zip_derived_cl28]) ).

thf('85',plain,
    ( ( sk__1 != n2 )
    | ( sk_ != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3747]) ).

thf(zip_derived_cl126_803,plain,
    ( ( sum @ n9 @ n3 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl222_804,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2776_805,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_cl38,zip_derived_cl1322]) ).

thf(zip_derived_cl2787,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_cl222,zip_derived_cl2776]) ).

thf(zip_derived_cl23_806,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_807,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl35_808,plain,
    ( ( sum @ n1 @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_809,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_810,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2810,plain,
    ( ( ( sum @ ( sum @ n9 @ n3 ) @ n1 )
     != ( sum @ ( sum @ n9 @ n0 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2787,zip_derived_cl23,zip_derived_cl12,zip_derived_cl35,zip_derived_cl23,zip_derived_cl12]) ).

thf(zip_derived_cl3606,plain,
    ( ( ( sum @ n1 @ n1 )
     != ( sum @ ( sum @ n9 @ n0 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl2810]) ).

thf(zip_derived_cl36_811,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl123_812,plain,
    ( ( sum @ n9 @ n0 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3607,plain,
    ( ( n2
     != ( sum @ n9 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3606,zip_derived_cl36,zip_derived_cl123]) ).

thf(zip_derived_cl127_813,plain,
    ( ( sum @ n9 @ n4 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3612,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3607,zip_derived_cl127]) ).

thf('86',plain,
    ( ( sk__1 != n2 )
    | ( sk_ != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3612]) ).

thf(zip_derived_cl120_814,plain,
    ( ( sum @ n8 @ n8 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl86_815,plain,
    ( ( sum @ n5 @ n7 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl218_816,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2776_817,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_cl38,zip_derived_cl1322]) ).

thf(zip_derived_cl2783,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_cl218,zip_derived_cl2776]) ).

thf(zip_derived_cl19_818,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_819,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_820,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_821,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2806,plain,
    ( ( ( sum @ ( sum @ n5 @ n3 ) @ ( sum @ n1 @ n7 ) )
     != ( sum @ ( sum @ n5 @ n7 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2783,zip_derived_cl19,zip_derived_cl8,zip_derived_cl19,zip_derived_cl8]) ).

thf(zip_derived_cl42_822,plain,
    ( ( sum @ n1 @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3012,plain,
    ( ( ( sum @ ( sum @ n5 @ n3 ) @ n8 )
     != ( sum @ ( sum @ n5 @ n7 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2806,zip_derived_cl42]) ).

thf(zip_derived_cl3154,plain,
    ( ( ( sum @ ( sum @ n5 @ n3 ) @ n8 )
     != ( sum @ n1 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl3012]) ).

thf(zip_derived_cl82_823,plain,
    ( ( sum @ n5 @ n3 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl39_824,plain,
    ( ( sum @ n1 @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3159,plain,
    ( ( ( sum @ n8 @ n8 )
     != n5 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3154,zip_derived_cl82,zip_derived_cl39]) ).

thf(zip_derived_cl3459,plain,
    ( ( n5 != n5 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl3159]) ).

thf('87',plain,
    ( ( sk__1 != n2 )
    | ( sk_ != n6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3459]) ).

thf(zip_derived_cl116_825,plain,
    ( ( sum @ n8 @ n4 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl216_826,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2776_827,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_cl38,zip_derived_cl1322]) ).

thf(zip_derived_cl2781,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_cl216,zip_derived_cl2776]) ).

thf(zip_derived_cl17_828,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_829,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_830,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_831,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2804,plain,
    ( ( ( sum @ ( sum @ n3 @ n3 ) @ ( sum @ n1 @ n5 ) )
     != ( sum @ ( sum @ n3 @ n5 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2781,zip_derived_cl17,zip_derived_cl6,zip_derived_cl17,zip_derived_cl6]) ).

thf(zip_derived_cl60_832,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl40_833,plain,
    ( ( sum @ n1 @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl62_834,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3010,plain,
    ( ( ( sum @ n6 @ n6 )
     != ( sum @ n8 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2804,zip_derived_cl60,zip_derived_cl40,zip_derived_cl62]) ).

thf(zip_derived_cl3436,plain,
    ( ( ( sum @ n6 @ n6 )
     != n1 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl3010]) ).

thf(zip_derived_cl96_835,plain,
    ( ( sum @ n6 @ n6 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3438,plain,
    ( ( n1 != n1 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3436,zip_derived_cl96]) ).

thf('88',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3438]) ).

thf(zip_derived_cl94_836,plain,
    ( ( sum @ n6 @ n4 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl215_837,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2776_838,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_cl38,zip_derived_cl1322]) ).

thf(zip_derived_cl2780,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_cl215,zip_derived_cl2776]) ).

thf(zip_derived_cl16_839,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_840,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_841,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_842,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2803,plain,
    ( ( ( sum @ ( sum @ n2 @ n3 ) @ ( sum @ n1 @ n4 ) )
     != ( sum @ ( sum @ n2 @ n4 ) @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2780,zip_derived_cl16,zip_derived_cl5,zip_derived_cl16,zip_derived_cl5]) ).

thf(zip_derived_cl49_843,plain,
    ( ( sum @ n2 @ n3 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl39_844,plain,
    ( ( sum @ n1 @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl50_845,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3009,plain,
    ( ( ( sum @ n5 @ n5 )
     != ( sum @ n6 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2803,zip_derived_cl49,zip_derived_cl39,zip_derived_cl50]) ).

thf(zip_derived_cl3229,plain,
    ( ( ( sum @ n5 @ n5 )
     != n10 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl3009]) ).

thf(zip_derived_cl84_846,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3231,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3229,zip_derived_cl84]) ).

thf('89',plain,
    ( ( sk__1 != n2 )
    | ( sk_ != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3231]) ).

thf(zip_derived_cl60_847,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl213_848,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2776_849,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_cl38,zip_derived_cl1322]) ).

thf(zip_derived_cl2778,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_cl213,zip_derived_cl2776]) ).

thf(zip_derived_cl14_850,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl27_851,plain,
    ( ( sum @ n0 @ n3 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_852,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl37_853,plain,
    ( ( sum @ n1 @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_854,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_855,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_856,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2800,plain,
    ( ( ( sum @ n3 @ n3 )
     != ( sum @ n2 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2778,zip_derived_cl14,zip_derived_cl27,zip_derived_cl3,zip_derived_cl37,zip_derived_cl14,zip_derived_cl3,zip_derived_cl26]) ).

thf(zip_derived_cl2947,plain,
    ( ( n6
     != ( sum @ n2 @ n4 ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl2800]) ).

thf(zip_derived_cl50_857,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2948,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2947,zip_derived_cl50]) ).

thf('90',plain,
    ( ( sk__1 != n2 )
    | ( sk_ != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2948]) ).

thf(zip_derived_cl214_858,plain,
    ( ( sk_ = n2 )
   <= ( sk_ = n2 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl550_859,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_cl229,zip_derived_cl4,zip_derived_cl4]) ).

thf(zip_derived_cl555,plain,
    ( ( ( sum @ ( sum @ ( pred @ n2 ) @ n3 ) @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) )
     != ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ ( sum @ ( pred @ n2 ) @ n3 ) ) )
   <= ( ( sk__1 = n2 )
      & ( sk_ = n2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl214,zip_derived_cl550]) ).

thf(zip_derived_cl4_860,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl4_861,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl577,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_cl555,zip_derived_cl4,zip_derived_cl4]) ).

thf('91',plain,
    ( ( sk__1 != n2 )
    | ( sk_ != n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl577]) ).

thf(zip_derived_cl218_862,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3556_863,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl2363]) ).

thf(zip_derived_cl3563,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n0 ) @ ( sum @ n9 @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n9 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl218,zip_derived_cl3556]) ).

thf(zip_derived_cl19_864,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl79_865,plain,
    ( ( sum @ n5 @ n0 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_866,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_867,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_868,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl86_869,plain,
    ( ( sum @ n5 @ n7 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl44_870,plain,
    ( ( sum @ n1 @ n9 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3585,plain,
    ( ( ( sum @ n5 @ ( sum @ n9 @ n7 ) )
     != n10 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3563,zip_derived_cl19,zip_derived_cl79,zip_derived_cl8,zip_derived_cl19,zip_derived_cl8,zip_derived_cl86,zip_derived_cl44]) ).

thf(zip_derived_cl130_871,plain,
    ( ( sum @ n9 @ n7 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl84_872,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3629,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3585,zip_derived_cl130,zip_derived_cl84]) ).

thf('92',plain,
    ( ( sk_ != n6 )
    | ( sk__1 != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3629]) ).

thf(zip_derived_cl218_873,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3474_874,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl2268]) ).

thf(zip_derived_cl3504,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n7 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl218,zip_derived_cl3474]) ).

thf(zip_derived_cl19_875,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl89_876,plain,
    ( ( sum @ n5 @ n10 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_877,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl119_878,plain,
    ( ( sum @ n8 @ n7 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl72_879,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_880,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_881,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl86_882,plain,
    ( ( sum @ n5 @ n7 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl42_883,plain,
    ( ( sum @ n1 @ n7 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3529,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3504,zip_derived_cl19,zip_derived_cl89,zip_derived_cl8,zip_derived_cl119,zip_derived_cl72,zip_derived_cl19,zip_derived_cl8,zip_derived_cl86,zip_derived_cl42]) ).

thf('93',plain,
    ( ( sk_ != n6 )
    | ( sk__1 != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3529]) ).

thf(zip_derived_cl218_884,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3357_885,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl2174]) ).

thf(zip_derived_cl3383,plain,
    ( ( ( sum @ ( sum @ ( pred @ n6 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n6 ) ) )
     != ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n5 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl218,zip_derived_cl3357]) ).

thf(zip_derived_cl19_886,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl88_887,plain,
    ( ( sum @ n5 @ n9 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_888,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl108_889,plain,
    ( ( sum @ n7 @ n7 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl60_890,plain,
    ( ( sum @ n3 @ n3 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_891,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_892,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl86_893,plain,
    ( ( sum @ n5 @ n7 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl40_894,plain,
    ( ( sum @ n1 @ n5 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3406,plain,
    ( ( n6 != n6 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3383,zip_derived_cl19,zip_derived_cl88,zip_derived_cl8,zip_derived_cl108,zip_derived_cl60,zip_derived_cl19,zip_derived_cl8,zip_derived_cl86,zip_derived_cl40]) ).

thf('94',plain,
    ( ( sk_ != n6 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3406]) ).

thf(zip_derived_cl108_895,plain,
    ( ( sum @ n7 @ n7 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl86_896,plain,
    ( ( sum @ n5 @ n7 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl218_897,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2489_898,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_cl26,zip_derived_cl1181]) ).

thf(zip_derived_cl2496,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_cl218,zip_derived_cl2489]) ).

thf(zip_derived_cl19_899,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_900,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_901,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_902,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2519,plain,
    ( ( ( sum @ ( sum @ n5 @ n2 ) @ ( sum @ n0 @ n7 ) )
     != ( sum @ ( sum @ n5 @ n7 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2496,zip_derived_cl19,zip_derived_cl8,zip_derived_cl19,zip_derived_cl8]) ).

thf(zip_derived_cl31_903,plain,
    ( ( sum @ n0 @ n7 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2944,plain,
    ( ( ( sum @ ( sum @ n5 @ n2 ) @ n7 )
     != ( sum @ ( sum @ n5 @ n7 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2519,zip_derived_cl31]) ).

thf(zip_derived_cl3153,plain,
    ( ( ( sum @ ( sum @ n5 @ n2 ) @ n7 )
     != ( sum @ n1 @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl2944]) ).

thf(zip_derived_cl81_904,plain,
    ( ( sum @ n5 @ n2 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl37_905,plain,
    ( ( sum @ n1 @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3158,plain,
    ( ( ( sum @ n7 @ n7 )
     != n3 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3153,zip_derived_cl81,zip_derived_cl37]) ).

thf(zip_derived_cl3343,plain,
    ( ( n3 != n3 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl3158]) ).

thf('95',plain,
    ( ( sk_ != n6 )
    | ( sk__1 != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3343]) ).

thf(zip_derived_cl86_906,plain,
    ( ( sum @ n5 @ n7 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl218_907,plain,
    ( ( sk_ = n6 )
   <= ( sk_ = n6 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3051_908,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_cl74,zip_derived_cl1748]) ).

thf(zip_derived_cl3067,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_cl218,zip_derived_cl3051]) ).

thf(zip_derived_cl19_909,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_910,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl19_911,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl8_912,plain,
    ( ( succ @ n6 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3090,plain,
    ( ( ( sum @ ( sum @ n5 @ n6 ) @ ( sum @ n4 @ n7 ) )
     != ( sum @ ( sum @ n5 @ n7 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3067,zip_derived_cl19,zip_derived_cl8,zip_derived_cl19,zip_derived_cl8]) ).

thf(zip_derived_cl75_913,plain,
    ( ( sum @ n4 @ n7 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3108,plain,
    ( ( ( sum @ ( sum @ n5 @ n6 ) @ n0 )
     != ( sum @ ( sum @ n5 @ n7 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3090,zip_derived_cl75]) ).

thf(zip_derived_cl3157,plain,
    ( ( ( sum @ ( sum @ n5 @ n6 ) @ n0 )
     != ( sum @ n1 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl3108]) ).

thf(zip_derived_cl85_914,plain,
    ( ( sum @ n5 @ n6 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_915,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl45_916,plain,
    ( ( sum @ n1 @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3162,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3157,zip_derived_cl85,zip_derived_cl24,zip_derived_cl45]) ).

thf('96',plain,
    ( ( sk_ != n6 )
    | ( sk__1 != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3162]) ).

thf(zip_derived_cl222_917,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3474_918,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl2268]) ).

thf(zip_derived_cl3508,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n7 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl3474]) ).

thf(zip_derived_cl23_919,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_920,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl112_921,plain,
    ( ( sum @ n8 @ n0 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_922,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_923,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3537,plain,
    ( ( ( sum @ ( sum @ n9 @ n10 ) @ n8 )
     != ( sum @ ( sum @ n9 @ n0 ) @ n7 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3508,zip_derived_cl23,zip_derived_cl12,zip_derived_cl112,zip_derived_cl23,zip_derived_cl12]) ).

thf(zip_derived_cl133_924,plain,
    ( ( sum @ n9 @ n10 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl120_925,plain,
    ( ( sum @ n8 @ n8 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl123_926,plain,
    ( ( sum @ n9 @ n0 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl130_927,plain,
    ( ( sum @ n9 @ n7 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3881,plain,
    ( ( n5 != n5 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3537,zip_derived_cl133,zip_derived_cl120,zip_derived_cl123,zip_derived_cl130]) ).

thf('97',plain,
    ( ( sk__1 != n9 )
    | ( sk_ != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3881]) ).

thf(zip_derived_cl212_928,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3474_929,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl2268]) ).

thf(zip_derived_cl3498,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n7 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl212,zip_derived_cl3474]) ).

thf(zip_derived_cl13_930,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_931,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl113_932,plain,
    ( ( sum @ n8 @ n1 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_933,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_934,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3520,plain,
    ( ( ( sum @ ( sum @ n10 @ n10 ) @ n9 )
     != ( sum @ ( sum @ n10 @ n1 ) @ n7 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3498,zip_derived_cl13,zip_derived_cl2,zip_derived_cl113,zip_derived_cl13,zip_derived_cl2]) ).

thf(zip_derived_cl144_935,plain,
    ( ( sum @ n10 @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl132_936,plain,
    ( ( sum @ n9 @ n9 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl135_937,plain,
    ( ( sum @ n10 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl31_938,plain,
    ( ( sum @ n0 @ n7 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3868,plain,
    ( ( n7 != n7 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3520,zip_derived_cl144,zip_derived_cl132,zip_derived_cl135,zip_derived_cl31]) ).

thf('98',plain,
    ( ( sk__1 != n9 )
    | ( sk_ != n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3868]) ).

thf(zip_derived_cl144_939,plain,
    ( ( sum @ n10 @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl213_940,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3474_941,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl2268]) ).

thf(zip_derived_cl3499,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n7 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl3474]) ).

thf(zip_derived_cl14_942,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl34_943,plain,
    ( ( sum @ n0 @ n10 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_944,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl114_945,plain,
    ( ( sum @ n8 @ n2 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_946,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_947,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_948,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl53_949,plain,
    ( ( sum @ n2 @ n7 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3521,plain,
    ( ( ( sum @ n10 @ n10 )
     != n9 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3499,zip_derived_cl14,zip_derived_cl34,zip_derived_cl3,zip_derived_cl114,zip_derived_cl14,zip_derived_cl3,zip_derived_cl26,zip_derived_cl53]) ).

thf(zip_derived_cl3815,plain,
    ( ( n9 != n9 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl3521]) ).

thf('99',plain,
    ( ( sk__1 != n9 )
    | ( sk_ != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3815]) ).

thf(zip_derived_cl216_950,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3474_951,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl2268]) ).

thf(zip_derived_cl3502,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n7 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl216,zip_derived_cl3474]) ).

thf(zip_derived_cl17_952,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl67_953,plain,
    ( ( sum @ n3 @ n10 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_954,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl117_955,plain,
    ( ( sum @ n8 @ n5 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl48_956,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_957,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_958,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl62_959,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl119_960,plain,
    ( ( sum @ n8 @ n7 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3526,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3502,zip_derived_cl17,zip_derived_cl67,zip_derived_cl6,zip_derived_cl117,zip_derived_cl48,zip_derived_cl17,zip_derived_cl6,zip_derived_cl62,zip_derived_cl119]) ).

thf('100',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3526]) ).

thf(zip_derived_cl215_961,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3474_962,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
   <= ( sk__1 = n9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl2268]) ).

thf(zip_derived_cl3501,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n7 ) )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl215,zip_derived_cl3474]) ).

thf(zip_derived_cl16_963,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl56_964,plain,
    ( ( sum @ n2 @ n10 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_965,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl116_966,plain,
    ( ( sum @ n8 @ n4 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_967,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_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_cl50_970,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl97_971,plain,
    ( ( sum @ n6 @ n7 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3524,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n9 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3501,zip_derived_cl16,zip_derived_cl56,zip_derived_cl5,zip_derived_cl116,zip_derived_cl36,zip_derived_cl16,zip_derived_cl5,zip_derived_cl50,zip_derived_cl97]) ).

thf('101',plain,
    ( ( sk__1 != n9 )
    | ( sk_ != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3524]) ).

thf(zip_derived_cl132_972,plain,
    ( ( sum @ n9 @ n9 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl213_973,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3357_974,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl2174]) ).

thf(zip_derived_cl3378,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n5 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl3357]) ).

thf(zip_derived_cl14_975,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl33_976,plain,
    ( ( sum @ n0 @ n9 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_977,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl103_978,plain,
    ( ( sum @ n7 @ n2 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_979,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_980,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_981,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl51_982,plain,
    ( ( sum @ n2 @ n5 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3400,plain,
    ( ( ( sum @ n9 @ n9 )
     != n7 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3378,zip_derived_cl14,zip_derived_cl33,zip_derived_cl3,zip_derived_cl103,zip_derived_cl14,zip_derived_cl3,zip_derived_cl26,zip_derived_cl51]) ).

thf(zip_derived_cl3644,plain,
    ( ( n7 != n7 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl3400]) ).

thf('102',plain,
    ( ( sk_ != n1 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3644]) ).

thf(zip_derived_cl213_983,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3556_984,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl2363]) ).

thf(zip_derived_cl3558,plain,
    ( ( ( sum @ ( sum @ ( pred @ n1 ) @ n0 ) @ ( sum @ n9 @ ( succ @ n1 ) ) )
     != ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n9 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl3556]) ).

thf(zip_derived_cl14_985,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_986,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_987,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_988,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_989,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_990,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl55_991,plain,
    ( ( sum @ n2 @ n9 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3580,plain,
    ( ( ( sum @ n0 @ ( sum @ n9 @ n2 ) )
     != n0 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3558,zip_derived_cl14,zip_derived_cl24,zip_derived_cl3,zip_derived_cl14,zip_derived_cl3,zip_derived_cl26,zip_derived_cl55]) ).

thf(zip_derived_cl125,plain,
    ( ( sum @ n9 @ n2 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_992,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3618,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3580,zip_derived_cl125,zip_derived_cl24]) ).

thf('103',plain,
    ( ( sk_ != n1 )
    | ( sk__1 != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3618]) ).

thf(zip_derived_cl96_993,plain,
    ( ( sum @ n6 @ n6 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl213_994,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3051_995,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_cl74,zip_derived_cl1748]) ).

thf(zip_derived_cl3062,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_cl213,zip_derived_cl3051]) ).

thf(zip_derived_cl14_996,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl30_997,plain,
    ( ( sum @ n0 @ n6 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_998,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl70_999,plain,
    ( ( sum @ n4 @ n2 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl14_1000,plain,
    ( ( pred @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1001,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_1002,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl56_1003,plain,
    ( ( sum @ n2 @ n10 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3084,plain,
    ( ( ( sum @ n6 @ n6 )
     != n1 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3062,zip_derived_cl14,zip_derived_cl30,zip_derived_cl3,zip_derived_cl70,zip_derived_cl14,zip_derived_cl3,zip_derived_cl26,zip_derived_cl56]) ).

thf(zip_derived_cl3243,plain,
    ( ( n1 != n1 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl3084]) ).

thf('104',plain,
    ( ( sk_ != n1 )
    | ( sk__1 != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3243]) ).

thf(zip_derived_cl202_1004,plain,
    ( ( sk__1 = n1 )
   <= ( sk__1 = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl213_1005,plain,
    ( ( sk_ = n1 )
   <= ( sk_ = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl0_1006,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_cl311,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_cl213,zip_derived_cl0]) ).

thf(zip_derived_cl3_1007,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1008,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl314,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_cl311,zip_derived_cl3,zip_derived_cl3]) ).

thf(zip_derived_cl440,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_cl202,zip_derived_cl314]) ).

thf(zip_derived_cl3_1009,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3_1010,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl464,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_cl440,zip_derived_cl3,zip_derived_cl3]) ).

thf('105',plain,
    ( ( sk_ != n1 )
    | ( sk__1 != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl464]) ).

thf(zip_derived_cl140_1011,plain,
    ( ( sum @ n10 @ n6 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl212_1012,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3051_1013,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_cl74,zip_derived_cl1748]) ).

thf(zip_derived_cl3061,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_cl212,zip_derived_cl3051]) ).

thf(zip_derived_cl13_1014,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1015,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl69_1016,plain,
    ( ( sum @ n4 @ n1 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_1017,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1018,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3083,plain,
    ( ( ( sum @ ( sum @ n10 @ n6 ) @ n5 )
     != ( sum @ ( sum @ n10 @ n1 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3061,zip_derived_cl13,zip_derived_cl2,zip_derived_cl69,zip_derived_cl13,zip_derived_cl2]) ).

thf(zip_derived_cl3766,plain,
    ( ( ( sum @ n5 @ n5 )
     != ( sum @ ( sum @ n10 @ n1 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl3083]) ).

thf(zip_derived_cl84_1019,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl135_1020,plain,
    ( ( sum @ n10 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl34_1021,plain,
    ( ( sum @ n0 @ n10 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3769,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3766,zip_derived_cl84,zip_derived_cl135,zip_derived_cl34]) ).

thf('106',plain,
    ( ( sk_ != n0 )
    | ( sk__1 != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3769]) ).

thf(zip_derived_cl133_1022,plain,
    ( ( sum @ n9 @ n10 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl129_1023,plain,
    ( ( sum @ n9 @ n6 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl222_1024,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3051_1025,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_cl74,zip_derived_cl1748]) ).

thf(zip_derived_cl3071,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_cl222,zip_derived_cl3051]) ).

thf(zip_derived_cl23_1026,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1027,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl68_1028,plain,
    ( ( sum @ n4 @ n0 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_1029,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1030,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3094,plain,
    ( ( ( sum @ ( sum @ n9 @ n6 ) @ n4 )
     != ( sum @ ( sum @ n9 @ n0 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3071,zip_derived_cl23,zip_derived_cl12,zip_derived_cl68,zip_derived_cl23,zip_derived_cl12]) ).

thf(zip_derived_cl3614,plain,
    ( ( ( sum @ n4 @ n4 )
     != ( sum @ ( sum @ n9 @ n0 ) @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl129,zip_derived_cl3094]) ).

thf(zip_derived_cl72_1031,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl123_1032,plain,
    ( ( sum @ n9 @ n0 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3615,plain,
    ( ( n8
     != ( sum @ n9 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3614,zip_derived_cl72,zip_derived_cl123]) ).

thf(zip_derived_cl3662,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl3615]) ).

thf('107',plain,
    ( ( sk__1 != n5 )
    | ( sk_ != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3662]) ).

thf(zip_derived_cl132_1033,plain,
    ( ( sum @ n9 @ n9 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl216_1034,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3051_1035,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_cl74,zip_derived_cl1748]) ).

thf(zip_derived_cl3065,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_cl216,zip_derived_cl3051]) ).

thf(zip_derived_cl17_1036,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl63_1037,plain,
    ( ( sum @ n3 @ n6 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_1038,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl73_1039,plain,
    ( ( sum @ n4 @ n5 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_1040,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_1041,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl62_1042,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3087,plain,
    ( ( ( sum @ n9 @ n9 )
     != ( sum @ n8 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3065,zip_derived_cl17,zip_derived_cl63,zip_derived_cl6,zip_derived_cl73,zip_derived_cl17,zip_derived_cl6,zip_derived_cl62]) ).

thf(zip_derived_cl3638,plain,
    ( ( n7
     != ( sum @ n8 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl3087]) ).

thf(zip_derived_cl122_1043,plain,
    ( ( sum @ n8 @ n10 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3648,plain,
    ( ( n7 != n7 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3638,zip_derived_cl122]) ).

thf('108',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3648]) ).

thf(zip_derived_cl120_1044,plain,
    ( ( sum @ n8 @ n8 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl215_1045,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3051_1046,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_cl74,zip_derived_cl1748]) ).

thf(zip_derived_cl3064,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_cl215,zip_derived_cl3051]) ).

thf(zip_derived_cl16_1047,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl52_1048,plain,
    ( ( sum @ n2 @ n6 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_1049,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl72_1050,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_1051,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_1052,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl50_1053,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3086,plain,
    ( ( ( sum @ n8 @ n8 )
     != ( sum @ n6 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3064,zip_derived_cl16,zip_derived_cl52,zip_derived_cl5,zip_derived_cl72,zip_derived_cl16,zip_derived_cl5,zip_derived_cl50]) ).

thf(zip_derived_cl3458,plain,
    ( ( n5
     != ( sum @ n6 @ n10 ) )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl3086]) ).

thf(zip_derived_cl100_1054,plain,
    ( ( sum @ n6 @ n10 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3464,plain,
    ( ( n5 != n5 )
   <= ( ( sk__1 = n5 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3458,zip_derived_cl100]) ).

thf('109',plain,
    ( ( sk__1 != n5 )
    | ( sk_ != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3464]) ).

thf(zip_derived_cl132_1055,plain,
    ( ( sum @ n9 @ n9 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl222_1056,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3357_1057,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl2174]) ).

thf(zip_derived_cl3387,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n5 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl3357]) ).

thf(zip_derived_cl23_1058,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1059,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl101_1060,plain,
    ( ( sum @ n7 @ n0 )
    = n7 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_1061,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1062,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3413,plain,
    ( ( ( sum @ ( sum @ n9 @ n9 ) @ n7 )
     != ( sum @ ( sum @ n9 @ n0 ) @ n5 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3387,zip_derived_cl23,zip_derived_cl12,zip_derived_cl101,zip_derived_cl23,zip_derived_cl12]) ).

thf(zip_derived_cl3645,plain,
    ( ( ( sum @ n7 @ n7 )
     != ( sum @ ( sum @ n9 @ n0 ) @ n5 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl3413]) ).

thf(zip_derived_cl108_1063,plain,
    ( ( sum @ n7 @ n7 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl123_1064,plain,
    ( ( sum @ n9 @ n0 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl128_1065,plain,
    ( ( sum @ n9 @ n5 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3657,plain,
    ( ( n3 != n3 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3645,zip_derived_cl108,zip_derived_cl123,zip_derived_cl128]) ).

thf('110',plain,
    ( ( sk_ != n10 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3657]) ).

thf(zip_derived_cl125_1066,plain,
    ( ( sum @ n9 @ n2 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl222_1067,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2489_1068,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_cl26,zip_derived_cl1181]) ).

thf(zip_derived_cl2500,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_cl222,zip_derived_cl2489]) ).

thf(zip_derived_cl23_1069,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1070,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_1071,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl23_1072,plain,
    ( ( pred @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl12_1073,plain,
    ( ( succ @ n10 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2523,plain,
    ( ( ( sum @ ( sum @ n9 @ n2 ) @ n0 )
     != ( sum @ ( sum @ n9 @ n0 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2500,zip_derived_cl23,zip_derived_cl12,zip_derived_cl24,zip_derived_cl23,zip_derived_cl12]) ).

thf(zip_derived_cl3603,plain,
    ( ( ( sum @ n0 @ n0 )
     != ( sum @ ( sum @ n9 @ n0 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl2523]) ).

thf(zip_derived_cl24_1074,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl123_1075,plain,
    ( ( sum @ n9 @ n0 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl125_1076,plain,
    ( ( sum @ n9 @ n2 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3604,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3603,zip_derived_cl24,zip_derived_cl123,zip_derived_cl125]) ).

thf('111',plain,
    ( ( sk_ != n10 )
    | ( sk__1 != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3604]) ).

thf(zip_derived_cl222_1077,plain,
    ( ( sk_ = n10 )
   <= ( sk_ = n10 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl292_1078,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_cl211,zip_derived_cl0]) ).

thf(zip_derived_cl901,plain,
    ( ( ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) )
     != ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl292]) ).

thf('112',plain,
    ( ( sk_ != n10 )
    | ( sk__1 != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl901]) ).

thf(zip_derived_cl136_1079,plain,
    ( ( sum @ n10 @ n2 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl212_1080,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2489_1081,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_cl26,zip_derived_cl1181]) ).

thf(zip_derived_cl2490,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_cl212,zip_derived_cl2489]) ).

thf(zip_derived_cl13_1082,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1083,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl25_1084,plain,
    ( ( sum @ n0 @ n1 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_1085,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1086,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2512,plain,
    ( ( ( sum @ ( sum @ n10 @ n2 ) @ n1 )
     != ( sum @ ( sum @ n10 @ n1 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2490,zip_derived_cl13,zip_derived_cl2,zip_derived_cl25,zip_derived_cl13,zip_derived_cl2]) ).

thf(zip_derived_cl3689,plain,
    ( ( ( sum @ n1 @ n1 )
     != ( sum @ ( sum @ n10 @ n1 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl2512]) ).

thf(zip_derived_cl36_1087,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl135_1088,plain,
    ( ( sum @ n10 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl26_1089,plain,
    ( ( sum @ n0 @ n2 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3692,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3689,zip_derived_cl36,zip_derived_cl135,zip_derived_cl26]) ).

thf('113',plain,
    ( ( sk_ != n0 )
    | ( sk__1 != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3692]) ).

thf(zip_derived_cl114_1090,plain,
    ( ( sum @ n8 @ n2 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl62_1091,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl216_1092,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2489_1093,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_cl26,zip_derived_cl1181]) ).

thf(zip_derived_cl2505,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_cl216,zip_derived_cl2489]) ).

thf(zip_derived_cl17_1094,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_1095,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_1096,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_1097,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2529,plain,
    ( ( ( sum @ ( sum @ n3 @ n2 ) @ ( sum @ n0 @ n5 ) )
     != ( sum @ ( sum @ n3 @ n5 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2505,zip_derived_cl17,zip_derived_cl6,zip_derived_cl17,zip_derived_cl6]) ).

thf(zip_derived_cl59_1098,plain,
    ( ( sum @ n3 @ n2 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl29_1099,plain,
    ( ( sum @ n0 @ n5 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2953,plain,
    ( ( ( sum @ n5 @ n5 )
     != ( sum @ ( sum @ n3 @ n5 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2529,zip_derived_cl59,zip_derived_cl29]) ).

thf(zip_derived_cl2960,plain,
    ( ( ( sum @ n5 @ n5 )
     != ( sum @ n8 @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl2953]) ).

thf(zip_derived_cl3429,plain,
    ( ( ( sum @ n5 @ n5 )
     != n10 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl2960]) ).

thf(zip_derived_cl84_1100,plain,
    ( ( sum @ n5 @ n5 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3431,plain,
    ( ( n10 != n10 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3429,zip_derived_cl84]) ).

thf('114',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3431]) ).

thf(zip_derived_cl92_1101,plain,
    ( ( sum @ n6 @ n2 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl215_1102,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2489_1103,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_cl26,zip_derived_cl1181]) ).

thf(zip_derived_cl2493,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_cl215,zip_derived_cl2489]) ).

thf(zip_derived_cl16_1104,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_1105,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_1106,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_1107,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2516,plain,
    ( ( ( sum @ ( sum @ n2 @ n2 ) @ ( sum @ n0 @ n4 ) )
     != ( sum @ ( sum @ n2 @ n4 ) @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2493,zip_derived_cl16,zip_derived_cl5,zip_derived_cl16,zip_derived_cl5]) ).

thf(zip_derived_cl48_1108,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl28_1109,plain,
    ( ( sum @ n0 @ n4 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl50_1110,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2941,plain,
    ( ( ( sum @ n4 @ n4 )
     != ( sum @ n6 @ n2 ) )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2516,zip_derived_cl48,zip_derived_cl28,zip_derived_cl50]) ).

thf(zip_derived_cl3215,plain,
    ( ( ( sum @ n4 @ n4 )
     != n8 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl2941]) ).

thf(zip_derived_cl72_1111,plain,
    ( ( sum @ n4 @ n4 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3217,plain,
    ( ( n8 != n8 )
   <= ( ( sk__1 = n1 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3215,zip_derived_cl72]) ).

thf('115',plain,
    ( ( sk__1 != n1 )
    | ( sk_ != n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3217]) ).

thf(zip_derived_cl215_1112,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3556_1113,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl2363]) ).

thf(zip_derived_cl3560,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n0 ) @ ( sum @ n9 @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n9 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl215,zip_derived_cl3556]) ).

thf(zip_derived_cl16_1114,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl46_1115,plain,
    ( ( sum @ n2 @ n0 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_1116,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_1117,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_1118,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl50_1119,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl99_1120,plain,
    ( ( sum @ n6 @ n9 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3582,plain,
    ( ( ( sum @ n2 @ ( sum @ n9 @ n4 ) )
     != n4 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3560,zip_derived_cl16,zip_derived_cl46,zip_derived_cl5,zip_derived_cl16,zip_derived_cl5,zip_derived_cl50,zip_derived_cl99]) ).

thf(zip_derived_cl127_1121,plain,
    ( ( sum @ n9 @ n4 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl48_1122,plain,
    ( ( sum @ n2 @ n2 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3625,plain,
    ( ( n4 != n4 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3582,zip_derived_cl127,zip_derived_cl48]) ).

thf('116',plain,
    ( ( sk_ != n3 )
    | ( sk__1 != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3625]) ).

thf(zip_derived_cl215_1123,plain,
    ( ( sk_ = n3 )
   <= ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3357_1124,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl2174]) ).

thf(zip_derived_cl3380,plain,
    ( ( ( sum @ ( sum @ ( pred @ n3 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n3 ) ) )
     != ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n5 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl215,zip_derived_cl3357]) ).

thf(zip_derived_cl16_1125,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl55_1126,plain,
    ( ( sum @ n2 @ n9 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_1127,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl105_1128,plain,
    ( ( sum @ n7 @ n4 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl24_1129,plain,
    ( ( sum @ n0 @ n0 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl16_1130,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl5_1131,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl50_1132,plain,
    ( ( sum @ n2 @ n4 )
    = n6 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl95_1133,plain,
    ( ( sum @ n6 @ n5 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3402,plain,
    ( ( n0 != n0 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3380,zip_derived_cl16,zip_derived_cl55,zip_derived_cl5,zip_derived_cl105,zip_derived_cl24,zip_derived_cl16,zip_derived_cl5,zip_derived_cl50,zip_derived_cl95]) ).

thf('117',plain,
    ( ( sk_ != n3 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3402]) ).

thf(zip_derived_cl143_1134,plain,
    ( ( sum @ n10 @ n9 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl212_1135,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3357_1136,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl2174]) ).

thf(zip_derived_cl3377,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n5 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl212,zip_derived_cl3357]) ).

thf(zip_derived_cl13_1137,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1138,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl102_1139,plain,
    ( ( sum @ n7 @ n1 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_1140,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1141,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3399,plain,
    ( ( ( sum @ ( sum @ n10 @ n9 ) @ n8 )
     != ( sum @ ( sum @ n10 @ n1 ) @ n5 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3377,zip_derived_cl13,zip_derived_cl2,zip_derived_cl102,zip_derived_cl13,zip_derived_cl2]) ).

thf(zip_derived_cl3798,plain,
    ( ( ( sum @ n8 @ n8 )
     != ( sum @ ( sum @ n10 @ n1 ) @ n5 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl3399]) ).

thf(zip_derived_cl120_1142,plain,
    ( ( sum @ n8 @ n8 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl135_1143,plain,
    ( ( sum @ n10 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl29_1144,plain,
    ( ( sum @ n0 @ n5 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3799,plain,
    ( ( n5 != n5 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3798,zip_derived_cl120,zip_derived_cl135,zip_derived_cl29]) ).

thf('118',plain,
    ( ( sk_ != n0 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3799]) ).

thf(zip_derived_cl117_1145,plain,
    ( ( sum @ n8 @ n5 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl216_1146,plain,
    ( ( sk_ = n4 )
   <= ( sk_ = n4 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3357_1147,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
   <= ( sk__1 = n8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl2174]) ).

thf(zip_derived_cl3381,plain,
    ( ( ( sum @ ( sum @ ( pred @ n4 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n4 ) ) )
     != ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n5 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl216,zip_derived_cl3357]) ).

thf(zip_derived_cl17_1148,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl66_1149,plain,
    ( ( sum @ n3 @ n9 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_1150,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl106_1151,plain,
    ( ( sum @ n7 @ n5 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl36_1152,plain,
    ( ( sum @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl17_1153,plain,
    ( ( pred @ n4 )
    = n3 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl6_1154,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl62_1155,plain,
    ( ( sum @ n3 @ n5 )
    = n8 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3404,plain,
    ( ( n2
     != ( sum @ n8 @ n5 ) )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3381,zip_derived_cl17,zip_derived_cl66,zip_derived_cl6,zip_derived_cl106,zip_derived_cl36,zip_derived_cl17,zip_derived_cl6,zip_derived_cl62]) ).

thf(zip_derived_cl3441,plain,
    ( ( n2 != n2 )
   <= ( ( sk__1 = n8 )
      & ( sk_ = n4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl3404]) ).

thf('119',plain,
    ( ( sk_ != n4 )
    | ( sk__1 != n8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3441]) ).

thf('120',plain,
    ( ( sk__1 = n10 )
    | ( sk__1 = n8 )
    | ( sk__1 = n3 )
    | ( sk__1 = n4 )
    | ( sk__1 = n6 )
    | ( sk__1 = n0 )
    | ( sk__1 = n7 )
    | ( sk__1 = n2 )
    | ( sk__1 = n9 )
    | ( sk__1 = n5 )
    | ( sk__1 = n1 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl212_1156,plain,
    ( ( sk_ = n0 )
   <= ( sk_ = n0 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3556_1157,plain,
    ( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
     != ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
   <= ( sk__1 = n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl2363]) ).

thf(zip_derived_cl3557,plain,
    ( ( ( sum @ ( sum @ ( pred @ n0 ) @ n0 ) @ ( sum @ n9 @ ( succ @ n0 ) ) )
     != ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n9 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl212,zip_derived_cl3556]) ).

thf(zip_derived_cl13_1158,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1159,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl124_1160,plain,
    ( ( sum @ n9 @ n1 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl13_1161,plain,
    ( ( pred @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl2_1162,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3579,plain,
    ( ( ( sum @ ( sum @ n10 @ n0 ) @ n10 )
     != ( sum @ ( sum @ n10 @ n1 ) @ n9 ) )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3557,zip_derived_cl13,zip_derived_cl2,zip_derived_cl124,zip_derived_cl13,zip_derived_cl2]) ).

thf(zip_derived_cl134_1163,plain,
    ( ( sum @ n10 @ n0 )
    = n10 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl144_1164,plain,
    ( ( sum @ n10 @ n10 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl135_1165,plain,
    ( ( sum @ n10 @ n1 )
    = n0 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl33_1166,plain,
    ( ( sum @ n0 @ n9 )
    = n9 ),
    inference(cnf,[status(esa)],[try_satisfy_this]) ).

thf(zip_derived_cl3891,plain,
    ( ( n9 != n9 )
   <= ( ( sk__1 = n10 )
      & ( sk_ = n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3579,zip_derived_cl134,zip_derived_cl144,zip_derived_cl135,zip_derived_cl33]) ).

thf('121',plain,
    ( ( sk_ != n0 )
    | ( sk__1 != n10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3891]) ).

thf('122',plain,
    ( ( sk_ = n0 )
    | ( sk_ = n4 )
    | ( sk_ = n7 )
    | ( sk_ = n9 )
    | ( sk_ = n5 )
    | ( sk_ = n8 )
    | ( sk_ = n2 )
    | ( sk_ = n6 )
    | ( sk_ = n1 )
    | ( sk_ = n10 )
    | ( sk_ = n3 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl3894,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUM376+1.010 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WSxCasywbb true
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 11:40:25 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.95/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.95/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.25/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.25/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.27/1.12  % Solved by fo/fo1_av.sh.
% 1.27/1.12  % done 1046 iterations in 0.265s
% 1.27/1.12  % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.27/1.12  % SZS output start Refutation
% See solution above
% 1.65/1.14  
% 1.65/1.14  
% 1.65/1.14  % Terminating...
% 1.66/1.17  % Runner terminated.
% 1.66/1.18  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------