TSTP Solution File: NUM375+1.010 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM375+1.010 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wyKC8Yt0iU true
% Computer : n012.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 12:40:03 EDT 2023
% Result : Unsatisfiable 1.63s 1.05s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of formulae : 1576 ( 870 unt; 17 typ; 0 def)
% Number of atoms : 2813 (2812 equ; 0 cnn)
% Maximal formula atoms : 232 ( 1 avg)
% Number of connectives : 6123 ( 429 ~; 181 |; 510 &;4440 @)
% ( 0 <=>; 0 =>; 563 <=; 0 <~>)
% Maximal formula depth : 215 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 15 con; 0-2 aty)
% Number of variables : 3 ( 0 ^; 0 !; 3 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(succ_type,type,
succ: $i > $i ).
thf(n3_type,type,
n3: $i ).
thf(n7_type,type,
n7: $i ).
thf(n4_type,type,
n4: $i ).
thf(pred_type,type,
pred: $i > $i ).
thf(n10_type,type,
n10: $i ).
thf(n9_type,type,
n9: $i ).
thf(n6_type,type,
n6: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(n0_type,type,
n0: $i ).
thf(n8_type,type,
n8: $i ).
thf(sum_type,type,
sum: $i > $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(n5_type,type,
n5: $i ).
thf(n1_type,type,
n1: $i ).
thf(n2_type,type,
n2: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(try_satisfy_this,axiom,
? [X: $i,Y: $i,Z: $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 )
& ( Z != n10 )
& ( Z != n9 )
& ( Z != n8 )
& ( Z != n7 )
& ( Z != n6 )
& ( Z != n5 )
& ( Z != n4 )
& ( Z != n3 )
& ( Z != n2 )
& ( Z != n1 )
& ( Z != n0 )
& ( Z
= ( sum @ ( pred @ ( sum @ X @ ( succ @ Y ) ) ) @ ( sum @ Y @ ( pred @ ( sum @ X @ 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_cl155,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_cl213,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl17,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156,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_cl228,plain,
( ( sk__1 = n5 )
<= ( sk__1 = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl156]) ).
thf(zip_derived_cl11,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl335,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n5 ) ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl228,zip_derived_cl11]) ).
thf(zip_derived_cl1174,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl335]) ).
thf(zip_derived_cl1176,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n1 @ n5 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl213,zip_derived_cl1174]) ).
thf(zip_derived_cl51,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110,plain,
( ( sum @ n6 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2454,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n1 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1176,zip_derived_cl51,zip_derived_cl30,zip_derived_cl50,zip_derived_cl29,zip_derived_cl94,zip_derived_cl110]) ).
thf(zip_derived_cl5,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('0',plain,
( ( sk__1 != n5 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2454,zip_derived_cl5]) ).
thf(zip_derived_cl220,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl233,plain,
( ( sk__1 = n10 )
<= ( sk__1 = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl156]) ).
thf(zip_derived_cl11_001,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl399,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n10 ) ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl233,zip_derived_cl11]) ).
thf(zip_derived_cl22,plain,
( ( succ @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1503,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl22]) ).
thf(zip_derived_cl1512,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n8 @ n10 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl220,zip_derived_cl1503]) ).
thf(zip_derived_cl122,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132,plain,
( ( sum @ n8 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_002,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl150,plain,
( ( sum @ n10 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116,plain,
( ( sum @ n7 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2830,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n8 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1512,zip_derived_cl122,zip_derived_cl31,zip_derived_cl132,zip_derived_cl30,zip_derived_cl150,zip_derived_cl116]) ).
thf(zip_derived_cl9,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('1',plain,
( ( sk_ != n8 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2830,zip_derived_cl9]) ).
thf(zip_derived_cl220_003,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl232,plain,
( ( sk__1 = n9 )
<= ( sk__1 = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl156]) ).
thf(zip_derived_cl11_004,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl387,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n9 ) ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl232,zip_derived_cl11]) ).
thf(zip_derived_cl21,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1478,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl387,zip_derived_cl21]) ).
thf(zip_derived_cl1487,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n8 @ n9 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl220,zip_derived_cl1478]) ).
thf(zip_derived_cl132_005,plain,
( ( sum @ n8 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_006,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl131,plain,
( ( sum @ n8 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_007,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138,plain,
( ( sum @ n9 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2782,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n8 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1487,zip_derived_cl132,zip_derived_cl30,zip_derived_cl131,zip_derived_cl29,zip_derived_cl138,zip_derived_cl103]) ).
thf(zip_derived_cl1,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('2',plain,
( ( sk_ != n8 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2782,zip_derived_cl1]) ).
thf(zip_derived_cl220_008,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl231,plain,
( ( sk__1 = n8 )
<= ( sk__1 = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl156]) ).
thf(zip_derived_cl11_009,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n8 ) ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl231,zip_derived_cl11]) ).
thf(zip_derived_cl20,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1453,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl376,zip_derived_cl20]) ).
thf(zip_derived_cl1462,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n8 @ n8 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl220,zip_derived_cl1453]) ).
thf(zip_derived_cl131_010,plain,
( ( sum @ n8 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_011,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130,plain,
( ( sum @ n8 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126,plain,
( ( sum @ n8 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2732,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n8 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1462,zip_derived_cl131,zip_derived_cl29,zip_derived_cl130,zip_derived_cl28,zip_derived_cl126,zip_derived_cl90]) ).
thf(zip_derived_cl4,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('3',plain,
( ( sk_ != n8 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2732,zip_derived_cl4]) ).
thf(zip_derived_cl220_012,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl19,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230,plain,
( ( sk__1 = n7 )
<= ( sk__1 = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl156]) ).
thf(zip_derived_cl11_013,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl337,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n7 ) ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl230,zip_derived_cl11]) ).
thf(zip_derived_cl1383,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl337]) ).
thf(zip_derived_cl1392,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n8 @ n7 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl220,zip_derived_cl1383]) ).
thf(zip_derived_cl130_014,plain,
( ( sum @ n8 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_015,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl129,plain,
( ( sum @ n8 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88,plain,
( ( sum @ n4 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2684,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n8 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1392,zip_derived_cl130,zip_derived_cl28,zip_derived_cl129,zip_derived_cl27,zip_derived_cl114,zip_derived_cl88]) ).
thf(zip_derived_cl7,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('4',plain,
( ( sk__1 != n7 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2684,zip_derived_cl7]) ).
thf(zip_derived_cl220_016,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl18,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl229,plain,
( ( sk__1 = n6 )
<= ( sk__1 = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl156]) ).
thf(zip_derived_cl11_017,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl336,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n6 ) ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl229,zip_derived_cl11]) ).
thf(zip_derived_cl1357,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl336]) ).
thf(zip_derived_cl1366,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n8 @ n6 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl220,zip_derived_cl1357]) ).
thf(zip_derived_cl129_018,plain,
( ( sum @ n8 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_019,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128,plain,
( ( sum @ n8 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75,plain,
( ( sum @ n3 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2636,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n8 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1366,zip_derived_cl129,zip_derived_cl27,zip_derived_cl128,zip_derived_cl26,zip_derived_cl102,zip_derived_cl75]) ).
thf(zip_derived_cl10,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('5',plain,
( ( sk_ != n8 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2636,zip_derived_cl10]) ).
thf(zip_derived_cl220_020,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1174_021,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl335]) ).
thf(zip_derived_cl1183,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n8 @ n5 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl220,zip_derived_cl1174]) ).
thf(zip_derived_cl128_022,plain,
( ( sum @ n8 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_023,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127,plain,
( ( sum @ n8 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_024,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2468,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n8 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1183,zip_derived_cl128,zip_derived_cl26,zip_derived_cl127,zip_derived_cl25,zip_derived_cl90,zip_derived_cl62]) ).
thf(zip_derived_cl2,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('6',plain,
( ( sk__1 != n5 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2468,zip_derived_cl2]) ).
thf(zip_derived_cl125,plain,
( ( sum @ n8 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_025,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl14,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl225,plain,
( ( sk__1 = n2 )
<= ( sk__1 = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl156]) ).
thf(zip_derived_cl11_026,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n2 ) ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl225,zip_derived_cl11]) ).
thf(zip_derived_cl656,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl332]) ).
thf(zip_derived_cl668,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n8 @ n2 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl220,zip_derived_cl656]) ).
thf(zip_derived_cl2196,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n2 @ ( pred @ ( sum @ n8 @ n2 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl125,zip_derived_cl668]) ).
thf(zip_derived_cl23,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65,plain,
( ( sum @ n2 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2199,plain,
( ( sk__2
= ( sum @ n10 @ n0 ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2196,zip_derived_cl23,zip_derived_cl124,zip_derived_cl33,zip_derived_cl65]) ).
thf(zip_derived_cl144,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2322,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n8 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2199,zip_derived_cl144]) ).
thf(zip_derived_cl0,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('7',plain,
( ( sk_ != n8 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2322,zip_derived_cl0]) ).
thf(zip_derived_cl124_027,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_028,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl13,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224,plain,
( ( sk__1 = n1 )
<= ( sk__1 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl156]) ).
thf(zip_derived_cl11_029,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl331,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n1 ) ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl224,zip_derived_cl11]) ).
thf(zip_derived_cl549,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl331]) ).
thf(zip_derived_cl561,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n8 @ n1 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl220,zip_derived_cl549]) ).
thf(zip_derived_cl2188,plain,
( ( sk__2
= ( sum @ ( pred @ n10 ) @ ( sum @ n1 @ ( pred @ ( sum @ n8 @ n1 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl124,zip_derived_cl561]) ).
thf(zip_derived_cl33_030,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl123,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2191,plain,
( ( sk__2
= ( sum @ n9 @ n9 ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2188,zip_derived_cl33,zip_derived_cl123,zip_derived_cl32,zip_derived_cl53]) ).
thf(zip_derived_cl142,plain,
( ( sum @ n9 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2305,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n8 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2191,zip_derived_cl142]) ).
thf(zip_derived_cl3,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('8',plain,
( ( sk_ != n8 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2305,zip_derived_cl3]) ).
thf(zip_derived_cl220_031,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl16,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227,plain,
( ( sk__1 = n4 )
<= ( sk__1 = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl156]) ).
thf(zip_derived_cl11_032,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n4 ) ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl227,zip_derived_cl11]) ).
thf(zip_derived_cl985,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl334]) ).
thf(zip_derived_cl1002,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n8 @ n4 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl220,zip_derived_cl985]) ).
thf(zip_derived_cl127_033,plain,
( ( sum @ n8 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_034,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126_035,plain,
( ( sum @ n8 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2249,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n8 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1002,zip_derived_cl127,zip_derived_cl25,zip_derived_cl126,zip_derived_cl24,zip_derived_cl78,zip_derived_cl49]) ).
thf(zip_derived_cl5_036,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('9',plain,
( ( sk_ != n8 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2249,zip_derived_cl5]) ).
thf(zip_derived_cl123_037,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_038,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl12,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl223,plain,
( ( sk__1 = n0 )
<= ( sk__1 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl156]) ).
thf(zip_derived_cl11_039,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n0 ) ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl223,zip_derived_cl11]) ).
thf(zip_derived_cl438,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl330]) ).
thf(zip_derived_cl451,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n8 @ n0 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl220,zip_derived_cl438]) ).
thf(zip_derived_cl2181,plain,
( ( sk__2
= ( sum @ ( pred @ n9 ) @ ( sum @ n0 @ ( pred @ ( sum @ n8 @ n0 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl123,zip_derived_cl451]) ).
thf(zip_derived_cl32_040,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122_041,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_042,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2183,plain,
( ( sk__2
= ( sum @ n8 @ n7 ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2181,zip_derived_cl32,zip_derived_cl122,zip_derived_cl31,zip_derived_cl41]) ).
thf(zip_derived_cl129_043,plain,
( ( sum @ n8 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2214,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n8 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2183,zip_derived_cl129]) ).
thf(zip_derived_cl6,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('10',plain,
( ( sk_ != n8 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2214,zip_derived_cl6]) ).
thf(zip_derived_cl126_044,plain,
( ( sum @ n8 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_045,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl15,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226,plain,
( ( sk__1 = n3 )
<= ( sk__1 = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl156]) ).
thf(zip_derived_cl11_046,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl333,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n3 ) ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl226,zip_derived_cl11]) ).
thf(zip_derived_cl796,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl333]) ).
thf(zip_derived_cl811,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n8 @ n3 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl220,zip_derived_cl796]) ).
thf(zip_derived_cl2202,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n3 @ ( pred @ ( sum @ n8 @ n3 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl126,zip_derived_cl811]) ).
thf(zip_derived_cl24_047,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl125_048,plain,
( ( sum @ n8 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_049,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77,plain,
( ( sum @ n3 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2203,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n8 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2202,zip_derived_cl24,zip_derived_cl125,zip_derived_cl23,zip_derived_cl77,zip_derived_cl36]) ).
thf(zip_derived_cl8,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('11',plain,
( ( sk_ != n8 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2203,zip_derived_cl8]) ).
thf(zip_derived_cl222,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1478_050,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl387,zip_derived_cl21]) ).
thf(zip_derived_cl1489,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n10 @ n9 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl222,zip_derived_cl1478]) ).
thf(zip_derived_cl154,plain,
( ( sum @ n10 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_051,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl153,plain,
( ( sum @ n10 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_052,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140,plain,
( ( sum @ n9 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127_053,plain,
( ( sum @ n8 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2786,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n10 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1489,zip_derived_cl154,zip_derived_cl32,zip_derived_cl153,zip_derived_cl31,zip_derived_cl140,zip_derived_cl127]) ).
thf(zip_derived_cl8_054,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('12',plain,
( ( sk__1 != n9 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2786,zip_derived_cl8]) ).
thf(zip_derived_cl221,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1478_055,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl387,zip_derived_cl21]) ).
thf(zip_derived_cl1488,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n9 @ n9 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl221,zip_derived_cl1478]) ).
thf(zip_derived_cl143,plain,
( ( sum @ n9 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_056,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142_057,plain,
( ( sum @ n9 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_058,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139,plain,
( ( sum @ n9 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115,plain,
( ( sum @ n7 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2784,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n9 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1488,zip_derived_cl143,zip_derived_cl31,zip_derived_cl142,zip_derived_cl30,zip_derived_cl139,zip_derived_cl115]) ).
thf(zip_derived_cl10_059,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('13',plain,
( ( sk__1 != n9 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2784,zip_derived_cl10]) ).
thf(zip_derived_cl219,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1478_060,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl387,zip_derived_cl21]) ).
thf(zip_derived_cl1486,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n7 @ n9 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl219,zip_derived_cl1478]) ).
thf(zip_derived_cl121,plain,
( ( sum @ n7 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_061,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120,plain,
( ( sum @ n7 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_062,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137,plain,
( ( sum @ n9 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2780,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n7 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1486,zip_derived_cl121,zip_derived_cl29,zip_derived_cl120,zip_derived_cl28,zip_derived_cl137,zip_derived_cl91]) ).
thf(zip_derived_cl3_063,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('14',plain,
( ( sk__1 != n9 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2780,zip_derived_cl3]) ).
thf(zip_derived_cl218,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1478_064,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl387,zip_derived_cl21]) ).
thf(zip_derived_cl1485,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n6 @ n9 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl218,zip_derived_cl1478]) ).
thf(zip_derived_cl110_065,plain,
( ( sum @ n6 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_066,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109,plain,
( ( sum @ n6 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_067,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136,plain,
( ( sum @ n9 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2776,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n6 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1485,zip_derived_cl110,zip_derived_cl28,zip_derived_cl109,zip_derived_cl27,zip_derived_cl136,zip_derived_cl79]) ).
thf(zip_derived_cl5_068,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('15',plain,
( ( sk__1 != n9 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2776,zip_derived_cl5]) ).
thf(zip_derived_cl217,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1478_069,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl387,zip_derived_cl21]) ).
thf(zip_derived_cl1484,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n5 @ n9 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl217,zip_derived_cl1478]) ).
thf(zip_derived_cl99,plain,
( ( sum @ n5 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_070,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98,plain,
( ( sum @ n5 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_071,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135,plain,
( ( sum @ n9 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2774,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n5 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1484,zip_derived_cl99,zip_derived_cl27,zip_derived_cl98,zip_derived_cl26,zip_derived_cl135,zip_derived_cl67]) ).
thf(zip_derived_cl7_072,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('16',plain,
( ( sk__1 != n9 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2774,zip_derived_cl7]) ).
thf(zip_derived_cl216,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1478_073,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl387,zip_derived_cl21]) ).
thf(zip_derived_cl1483,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n4 @ n9 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl1478]) ).
thf(zip_derived_cl88_074,plain,
( ( sum @ n4 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_075,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87,plain,
( ( sum @ n4 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_076,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66,plain,
( ( sum @ n2 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2772,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n4 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1483,zip_derived_cl88,zip_derived_cl26,zip_derived_cl87,zip_derived_cl25,zip_derived_cl134,zip_derived_cl66]) ).
thf(zip_derived_cl9_077,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('17',plain,
( ( sk__1 != n9 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2772,zip_derived_cl9]) ).
thf(zip_derived_cl215,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1478_078,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl387,zip_derived_cl21]) ).
thf(zip_derived_cl1482,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n3 @ n9 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl215,zip_derived_cl1478]) ).
thf(zip_derived_cl77_079,plain,
( ( sum @ n3 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_080,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76,plain,
( ( sum @ n3 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_081,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl133,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2770,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n3 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1482,zip_derived_cl77,zip_derived_cl25,zip_derived_cl76,zip_derived_cl24,zip_derived_cl133,zip_derived_cl54]) ).
thf(zip_derived_cl0_082,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('18',plain,
( ( sk__1 != n9 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2770,zip_derived_cl0]) ).
thf(zip_derived_cl214,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1478_083,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl387,zip_derived_cl21]) ).
thf(zip_derived_cl1481,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n2 @ n9 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl214,zip_derived_cl1478]) ).
thf(zip_derived_cl66_084,plain,
( ( sum @ n2 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_085,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_086,plain,
( ( sum @ n2 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_087,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143_088,plain,
( ( sum @ n9 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2768,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n2 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1481,zip_derived_cl66,zip_derived_cl24,zip_derived_cl65,zip_derived_cl23,zip_derived_cl143,zip_derived_cl42]) ).
thf(zip_derived_cl2_089,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('19',plain,
( ( sk__1 != n9 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2768,zip_derived_cl2]) ).
thf(zip_derived_cl213_090,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1478_091,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl387,zip_derived_cl21]) ).
thf(zip_derived_cl1480,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n1 @ n9 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl213,zip_derived_cl1478]) ).
thf(zip_derived_cl55,plain,
( ( sum @ n1 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_092,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_093,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_094,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142_095,plain,
( ( sum @ n9 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl151,plain,
( ( sum @ n10 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2766,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n1 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1480,zip_derived_cl55,zip_derived_cl23,zip_derived_cl54,zip_derived_cl33,zip_derived_cl142,zip_derived_cl151]) ).
thf(zip_derived_cl4_096,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('20',plain,
( ( sk__1 != n9 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2766,zip_derived_cl4]) ).
thf(zip_derived_cl212,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1478_097,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl387,zip_derived_cl21]) ).
thf(zip_derived_cl1479,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n0 @ n9 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl1478]) ).
thf(zip_derived_cl44,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_098,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_099,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141,plain,
( ( sum @ n9 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139_100,plain,
( ( sum @ n9 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2764,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n0 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1479,zip_derived_cl44,zip_derived_cl33,zip_derived_cl43,zip_derived_cl32,zip_derived_cl141,zip_derived_cl139]) ).
thf(zip_derived_cl6_101,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('21',plain,
( ( sk__1 != n9 )
| ( sk_ != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2764,zip_derived_cl6]) ).
thf(zip_derived_cl222_102,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1503_103,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl22]) ).
thf(zip_derived_cl1514,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n10 @ n10 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl222,zip_derived_cl1503]) ).
thf(zip_derived_cl144_104,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_105,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_106,plain,
( ( sum @ n10 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_107,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl152,plain,
( ( sum @ n10 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140_108,plain,
( ( sum @ n9 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2834,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n10 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1514,zip_derived_cl144,zip_derived_cl33,zip_derived_cl154,zip_derived_cl32,zip_derived_cl152,zip_derived_cl140]) ).
thf(zip_derived_cl5_109,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('22',plain,
( ( sk_ != n10 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2834,zip_derived_cl5]) ).
thf(zip_derived_cl222_110,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1453_111,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl376,zip_derived_cl20]) ).
thf(zip_derived_cl1464,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n10 @ n8 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl222,zip_derived_cl1453]) ).
thf(zip_derived_cl153_112,plain,
( ( sum @ n10 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_113,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl152_114,plain,
( ( sum @ n10 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_115,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_116,plain,
( ( sum @ n8 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114_117,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2738,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n10 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1464,zip_derived_cl153,zip_derived_cl31,zip_derived_cl152,zip_derived_cl30,zip_derived_cl128,zip_derived_cl114]) ).
thf(zip_derived_cl0_118,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('23',plain,
( ( sk_ != n10 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2738,zip_derived_cl0]) ).
thf(zip_derived_cl222_119,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1383_120,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl337]) ).
thf(zip_derived_cl1394,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n10 @ n7 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl222,zip_derived_cl1383]) ).
thf(zip_derived_cl152_121,plain,
( ( sum @ n10 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_122,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl151_123,plain,
( ( sum @ n10 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_124,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116_125,plain,
( ( sum @ n7 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2688,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n10 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1394,zip_derived_cl152,zip_derived_cl30,zip_derived_cl151,zip_derived_cl29,zip_derived_cl116,zip_derived_cl101]) ).
thf(zip_derived_cl3_126,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('24',plain,
( ( sk__1 != n7 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2688,zip_derived_cl3]) ).
thf(zip_derived_cl222_127,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1357_128,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl336]) ).
thf(zip_derived_cl1368,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n10 @ n6 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl222,zip_derived_cl1357]) ).
thf(zip_derived_cl151_129,plain,
( ( sum @ n10 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_130,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl150_131,plain,
( ( sum @ n10 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_132,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99_133,plain,
( ( sum @ n5 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2640,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n10 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1368,zip_derived_cl151,zip_derived_cl29,zip_derived_cl150,zip_derived_cl28,zip_derived_cl104,zip_derived_cl99]) ).
thf(zip_derived_cl6_134,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('25',plain,
( ( sk_ != n10 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2640,zip_derived_cl6]) ).
thf(zip_derived_cl222_135,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1174_136,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl335]) ).
thf(zip_derived_cl1185,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n10 @ n5 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl222,zip_derived_cl1174]) ).
thf(zip_derived_cl150_137,plain,
( ( sum @ n10 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_138,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149,plain,
( ( sum @ n10 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_139,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86,plain,
( ( sum @ n4 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2474,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n10 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1185,zip_derived_cl150,zip_derived_cl28,zip_derived_cl149,zip_derived_cl27,zip_derived_cl92,zip_derived_cl86]) ).
thf(zip_derived_cl9_140,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('26',plain,
( ( sk__1 != n5 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2474,zip_derived_cl9]) ).
thf(zip_derived_cl145,plain,
( ( sum @ n10 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_141,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl438_142,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl330]) ).
thf(zip_derived_cl453,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n10 @ n0 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl222,zip_derived_cl438]) ).
thf(zip_derived_cl2328,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n0 @ ( pred @ ( sum @ n10 @ n0 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl145,zip_derived_cl453]) ).
thf(zip_derived_cl23_143,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144_144,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_145,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_146,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2333,plain,
( ( sk__2
= ( sum @ n10 @ n9 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2328,zip_derived_cl23,zip_derived_cl144,zip_derived_cl33,zip_derived_cl43]) ).
thf(zip_derived_cl153_147,plain,
( ( sum @ n10 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2398,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n10 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2333,zip_derived_cl153]) ).
thf(zip_derived_cl2_148,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('27',plain,
( ( sk_ != n10 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2398,zip_derived_cl2]) ).
thf(zip_derived_cl149_149,plain,
( ( sum @ n10 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_150,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl985_151,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl334]) ).
thf(zip_derived_cl1004,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n10 @ n4 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl222,zip_derived_cl985]) ).
thf(zip_derived_cl2370,plain,
( ( sk__2
= ( sum @ ( pred @ n4 ) @ ( sum @ n4 @ ( pred @ ( sum @ n10 @ n4 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl149,zip_derived_cl1004]) ).
thf(zip_derived_cl27_152,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148,plain,
( ( sum @ n10 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_153,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2372,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n10 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2370,zip_derived_cl27,zip_derived_cl148,zip_derived_cl26,zip_derived_cl80,zip_derived_cl73]) ).
thf(zip_derived_cl1_154,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('28',plain,
( ( sk_ != n10 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2372,zip_derived_cl1]) ).
thf(zip_derived_cl148_155,plain,
( ( sum @ n10 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_156,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl796_157,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl333]) ).
thf(zip_derived_cl813,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n10 @ n3 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl222,zip_derived_cl796]) ).
thf(zip_derived_cl2360,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n3 @ ( pred @ ( sum @ n10 @ n3 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl148,zip_derived_cl813]) ).
thf(zip_derived_cl26_158,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147,plain,
( ( sum @ n10 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_159,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2363,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n10 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2360,zip_derived_cl26,zip_derived_cl147,zip_derived_cl25,zip_derived_cl68,zip_derived_cl60]) ).
thf(zip_derived_cl4_160,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('29',plain,
( ( sk_ != n10 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2363,zip_derived_cl4]) ).
thf(zip_derived_cl147_161,plain,
( ( sum @ n10 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_162,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl656_163,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl332]) ).
thf(zip_derived_cl670,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n10 @ n2 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl222,zip_derived_cl656]) ).
thf(zip_derived_cl2349,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n2 @ ( pred @ ( sum @ n10 @ n2 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl147,zip_derived_cl670]) ).
thf(zip_derived_cl25_164,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl146,plain,
( ( sum @ n10 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_165,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2351,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n10 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2349,zip_derived_cl25,zip_derived_cl146,zip_derived_cl24,zip_derived_cl56,zip_derived_cl47]) ).
thf(zip_derived_cl7_166,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('30',plain,
( ( sk_ != n10 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2351,zip_derived_cl7]) ).
thf(zip_derived_cl146_167,plain,
( ( sum @ n10 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_168,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl549_169,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl331]) ).
thf(zip_derived_cl563,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n10 @ n1 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl222,zip_derived_cl549]) ).
thf(zip_derived_cl2339,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n1 @ ( pred @ ( sum @ n10 @ n1 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl146,zip_derived_cl563]) ).
thf(zip_derived_cl24_170,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145_171,plain,
( ( sum @ n10 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_172,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_173,plain,
( ( sum @ n1 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2344,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n10 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2339,zip_derived_cl24,zip_derived_cl145,zip_derived_cl23,zip_derived_cl55,zip_derived_cl34]) ).
thf(zip_derived_cl10_174,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('31',plain,
( ( sk_ != n10 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2344,zip_derived_cl10]) ).
thf(zip_derived_cl221_175,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1503_176,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl22]) ).
thf(zip_derived_cl1513,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n9 @ n10 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl221,zip_derived_cl1503]) ).
thf(zip_derived_cl133_177,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_178,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143_179,plain,
( ( sum @ n9 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_180,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl151_181,plain,
( ( sum @ n10 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_182,plain,
( ( sum @ n8 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2832,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n9 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1513,zip_derived_cl133,zip_derived_cl32,zip_derived_cl143,zip_derived_cl31,zip_derived_cl151,zip_derived_cl128]) ).
thf(zip_derived_cl7_183,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('32',plain,
( ( sk__1 != n10 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2832,zip_derived_cl7]) ).
thf(zip_derived_cl219_184,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1503_185,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl22]) ).
thf(zip_derived_cl1511,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n7 @ n10 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl219,zip_derived_cl1503]) ).
thf(zip_derived_cl111,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_186,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121_187,plain,
( ( sum @ n7 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_188,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149_189,plain,
( ( sum @ n10 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104_190,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2828,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n7 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1511,zip_derived_cl111,zip_derived_cl30,zip_derived_cl121,zip_derived_cl29,zip_derived_cl149,zip_derived_cl104]) ).
thf(zip_derived_cl0_191,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('33',plain,
( ( sk__1 != n10 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2828,zip_derived_cl0]) ).
thf(zip_derived_cl218_192,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1503_193,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl22]) ).
thf(zip_derived_cl1510,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n6 @ n10 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl218,zip_derived_cl1503]) ).
thf(zip_derived_cl100,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_194,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_195,plain,
( ( sum @ n6 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_196,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148_197,plain,
( ( sum @ n10 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_198,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2826,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n6 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1510,zip_derived_cl100,zip_derived_cl29,zip_derived_cl110,zip_derived_cl28,zip_derived_cl148,zip_derived_cl92]) ).
thf(zip_derived_cl2_199,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('34',plain,
( ( sk__1 != n10 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2826,zip_derived_cl2]) ).
thf(zip_derived_cl217_200,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1503_201,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl22]) ).
thf(zip_derived_cl1509,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n5 @ n10 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl217,zip_derived_cl1503]) ).
thf(zip_derived_cl89,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_202,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99_203,plain,
( ( sum @ n5 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_204,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147_205,plain,
( ( sum @ n10 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_206,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2824,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n5 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1509,zip_derived_cl89,zip_derived_cl28,zip_derived_cl99,zip_derived_cl27,zip_derived_cl147,zip_derived_cl80]) ).
thf(zip_derived_cl4_207,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('35',plain,
( ( sk__1 != n10 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2824,zip_derived_cl4]) ).
thf(zip_derived_cl216_208,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1503_209,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl22]) ).
thf(zip_derived_cl1508,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n4 @ n10 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl1503]) ).
thf(zip_derived_cl78_210,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_211,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_212,plain,
( ( sum @ n4 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_213,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl146_214,plain,
( ( sum @ n10 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_215,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2820,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n4 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1508,zip_derived_cl78,zip_derived_cl27,zip_derived_cl88,zip_derived_cl26,zip_derived_cl146,zip_derived_cl68]) ).
thf(zip_derived_cl6_216,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('36',plain,
( ( sk__1 != n10 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2820,zip_derived_cl6]) ).
thf(zip_derived_cl215_217,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1503_218,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl22]) ).
thf(zip_derived_cl1507,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n3 @ n10 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl215,zip_derived_cl1503]) ).
thf(zip_derived_cl67_219,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_220,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_221,plain,
( ( sum @ n3 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_222,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145_223,plain,
( ( sum @ n10 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_224,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2818,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n3 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1507,zip_derived_cl67,zip_derived_cl26,zip_derived_cl77,zip_derived_cl25,zip_derived_cl145,zip_derived_cl56]) ).
thf(zip_derived_cl8_225,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('37',plain,
( ( sk__1 != n10 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2818,zip_derived_cl8]) ).
thf(zip_derived_cl214_226,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1503_227,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl22]) ).
thf(zip_derived_cl1506,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n2 @ n10 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl214,zip_derived_cl1503]) ).
thf(zip_derived_cl56_228,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_229,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_230,plain,
( ( sum @ n2 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_231,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144_232,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_233,plain,
( ( sum @ n1 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2816,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n2 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1506,zip_derived_cl56,zip_derived_cl25,zip_derived_cl66,zip_derived_cl24,zip_derived_cl144,zip_derived_cl55]) ).
thf(zip_derived_cl10_234,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('38',plain,
( ( sk__1 != n10 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2816,zip_derived_cl10]) ).
thf(zip_derived_cl213_235,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1503_236,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl22]) ).
thf(zip_derived_cl1505,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n1 @ n10 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl213,zip_derived_cl1503]) ).
thf(zip_derived_cl45,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_237,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_238,plain,
( ( sum @ n1 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_239,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_240,plain,
( ( sum @ n10 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_241,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2814,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n1 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1505,zip_derived_cl45,zip_derived_cl24,zip_derived_cl55,zip_derived_cl23,zip_derived_cl154,zip_derived_cl43]) ).
thf(zip_derived_cl1_242,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('39',plain,
( ( sk__1 != n10 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2814,zip_derived_cl1]) ).
thf(zip_derived_cl212_243,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1503_244,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl22]) ).
thf(zip_derived_cl1504,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n0 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n0 @ n10 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl1503]) ).
thf(zip_derived_cl34_245,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_246,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_247,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_248,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl153_249,plain,
( ( sum @ n10 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl152_250,plain,
( ( sum @ n10 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2812,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n0 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1504,zip_derived_cl34,zip_derived_cl23,zip_derived_cl44,zip_derived_cl33,zip_derived_cl153,zip_derived_cl152]) ).
thf(zip_derived_cl3_251,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('40',plain,
( ( sk__1 != n10 )
| ( sk_ != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2812,zip_derived_cl3]) ).
thf(zip_derived_cl221_252,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1453_253,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl376,zip_derived_cl20]) ).
thf(zip_derived_cl1463,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n9 @ n8 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl221,zip_derived_cl1453]) ).
thf(zip_derived_cl142_254,plain,
( ( sum @ n9 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_255,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141_256,plain,
( ( sum @ n9 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_257,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127_258,plain,
( ( sum @ n8 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102_259,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2736,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n9 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1463,zip_derived_cl142,zip_derived_cl30,zip_derived_cl141,zip_derived_cl29,zip_derived_cl127,zip_derived_cl102]) ).
thf(zip_derived_cl2_260,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('41',plain,
( ( sk_ != n9 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2736,zip_derived_cl2]) ).
thf(zip_derived_cl221_261,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1383_262,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl337]) ).
thf(zip_derived_cl1393,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n9 @ n7 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl221,zip_derived_cl1383]) ).
thf(zip_derived_cl141_263,plain,
( ( sum @ n9 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_264,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140_265,plain,
( ( sum @ n9 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_266,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115_267,plain,
( ( sum @ n7 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_268,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2686,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n9 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1393,zip_derived_cl141,zip_derived_cl29,zip_derived_cl140,zip_derived_cl28,zip_derived_cl115,zip_derived_cl89]) ).
thf(zip_derived_cl5_269,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('42',plain,
( ( sk__1 != n7 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2686,zip_derived_cl5]) ).
thf(zip_derived_cl221_270,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1357_271,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl336]) ).
thf(zip_derived_cl1367,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n9 @ n6 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl221,zip_derived_cl1357]) ).
thf(zip_derived_cl140_272,plain,
( ( sum @ n9 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_273,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139_274,plain,
( ( sum @ n9 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_275,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103_276,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_277,plain,
( ( sum @ n4 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2638,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n9 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1367,zip_derived_cl140,zip_derived_cl28,zip_derived_cl139,zip_derived_cl27,zip_derived_cl103,zip_derived_cl87]) ).
thf(zip_derived_cl8_278,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('43',plain,
( ( sk_ != n9 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2638,zip_derived_cl8]) ).
thf(zip_derived_cl221_279,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1174_280,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl335]) ).
thf(zip_derived_cl1184,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n9 @ n5 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl221,zip_derived_cl1174]) ).
thf(zip_derived_cl139_281,plain,
( ( sum @ n9 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_282,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138_283,plain,
( ( sum @ n9 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_284,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_285,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2472,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n9 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1184,zip_derived_cl139,zip_derived_cl27,zip_derived_cl138,zip_derived_cl26,zip_derived_cl91,zip_derived_cl74]) ).
thf(zip_derived_cl0_286,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('44',plain,
( ( sk__1 != n5 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2472,zip_derived_cl0]) ).
thf(zip_derived_cl135_287,plain,
( ( sum @ n9 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221_288,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl549_289,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl331]) ).
thf(zip_derived_cl562,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n9 @ n1 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl221,zip_derived_cl549]) ).
thf(zip_derived_cl2259,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n1 @ ( pred @ ( sum @ n9 @ n1 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl135,zip_derived_cl562]) ).
thf(zip_derived_cl23_290,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_291,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_292,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_293,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2261,plain,
( ( sk__2
= ( sum @ n10 @ n10 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2259,zip_derived_cl23,zip_derived_cl134,zip_derived_cl33,zip_derived_cl54]) ).
thf(zip_derived_cl154_294,plain,
( ( sum @ n10 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2406,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n9 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2261,zip_derived_cl154]) ).
thf(zip_derived_cl1_295,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('45',plain,
( ( sk_ != n9 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2406,zip_derived_cl1]) ).
thf(zip_derived_cl134_296,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221_297,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl438_298,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl330]) ).
thf(zip_derived_cl452,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n9 @ n0 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl221,zip_derived_cl438]) ).
thf(zip_derived_cl2251,plain,
( ( sk__2
= ( sum @ ( pred @ n10 ) @ ( sum @ n0 @ ( pred @ ( sum @ n9 @ n0 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl134,zip_derived_cl452]) ).
thf(zip_derived_cl33_299,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl133_300,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_301,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_302,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2256,plain,
( ( sk__2
= ( sum @ n9 @ n8 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2251,zip_derived_cl33,zip_derived_cl133,zip_derived_cl32,zip_derived_cl42]) ).
thf(zip_derived_cl141_303,plain,
( ( sum @ n9 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2297,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n9 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2256,zip_derived_cl141]) ).
thf(zip_derived_cl4_304,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('46',plain,
( ( sk_ != n9 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2297,zip_derived_cl4]) ).
thf(zip_derived_cl138_305,plain,
( ( sum @ n9 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221_306,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl985_307,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl334]) ).
thf(zip_derived_cl1003,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n9 @ n4 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl221,zip_derived_cl985]) ).
thf(zip_derived_cl2278,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n4 @ ( pred @ ( sum @ n9 @ n4 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl138,zip_derived_cl1003]) ).
thf(zip_derived_cl26_308,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_309,plain,
( ( sum @ n9 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_310,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_311,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2280,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n9 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2278,zip_derived_cl26,zip_derived_cl137,zip_derived_cl25,zip_derived_cl79,zip_derived_cl61]) ).
thf(zip_derived_cl3_312,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('47',plain,
( ( sk_ != n9 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2280,zip_derived_cl3]) ).
thf(zip_derived_cl137_313,plain,
( ( sum @ n9 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221_314,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl796_315,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl333]) ).
thf(zip_derived_cl812,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n9 @ n3 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl221,zip_derived_cl796]) ).
thf(zip_derived_cl2271,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n3 @ ( pred @ ( sum @ n9 @ n3 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl137,zip_derived_cl812]) ).
thf(zip_derived_cl25_316,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136_317,plain,
( ( sum @ n9 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_318,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_319,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2273,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n9 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2271,zip_derived_cl25,zip_derived_cl136,zip_derived_cl24,zip_derived_cl67,zip_derived_cl48]) ).
thf(zip_derived_cl6_320,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('48',plain,
( ( sk_ != n9 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2273,zip_derived_cl6]) ).
thf(zip_derived_cl136_321,plain,
( ( sum @ n9 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221_322,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl656_323,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl332]) ).
thf(zip_derived_cl669,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n9 @ n2 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl221,zip_derived_cl656]) ).
thf(zip_derived_cl2263,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n2 @ ( pred @ ( sum @ n9 @ n2 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl136,zip_derived_cl669]) ).
thf(zip_derived_cl24_324,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_325,plain,
( ( sum @ n9 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_326,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_327,plain,
( ( sum @ n2 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2265,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n9 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2263,zip_derived_cl24,zip_derived_cl135,zip_derived_cl23,zip_derived_cl66,zip_derived_cl35]) ).
thf(zip_derived_cl9_328,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('49',plain,
( ( sk_ != n9 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2265,zip_derived_cl9]) ).
thf(zip_derived_cl219_329,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1453_330,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl376,zip_derived_cl20]) ).
thf(zip_derived_cl1461,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n7 @ n8 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl219,zip_derived_cl1453]) ).
thf(zip_derived_cl120_331,plain,
( ( sum @ n7 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_332,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119,plain,
( ( sum @ n7 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_333,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl125_334,plain,
( ( sum @ n8 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_335,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2730,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n7 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1461,zip_derived_cl120,zip_derived_cl28,zip_derived_cl119,zip_derived_cl27,zip_derived_cl125,zip_derived_cl78]) ).
thf(zip_derived_cl6_336,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('50',plain,
( ( sk__1 != n8 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2730,zip_derived_cl6]) ).
thf(zip_derived_cl218_337,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1453_338,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl376,zip_derived_cl20]) ).
thf(zip_derived_cl1460,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n6 @ n8 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl218,zip_derived_cl1453]) ).
thf(zip_derived_cl109_339,plain,
( ( sum @ n6 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_340,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108,plain,
( ( sum @ n6 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_341,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124_342,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_343,plain,
( ( sum @ n3 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2728,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n6 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1460,zip_derived_cl109,zip_derived_cl27,zip_derived_cl108,zip_derived_cl26,zip_derived_cl124,zip_derived_cl77]) ).
thf(zip_derived_cl8_344,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('51',plain,
( ( sk__1 != n8 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2728,zip_derived_cl8]) ).
thf(zip_derived_cl217_345,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1453_346,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl376,zip_derived_cl20]) ).
thf(zip_derived_cl1459,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n5 @ n8 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl217,zip_derived_cl1453]) ).
thf(zip_derived_cl98_347,plain,
( ( sum @ n5 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_348,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97,plain,
( ( sum @ n5 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_349,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl123_350,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_351,plain,
( ( sum @ n2 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2726,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n5 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1459,zip_derived_cl98,zip_derived_cl26,zip_derived_cl97,zip_derived_cl25,zip_derived_cl123,zip_derived_cl65]) ).
thf(zip_derived_cl10_352,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('52',plain,
( ( sk__1 != n8 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2726,zip_derived_cl10]) ).
thf(zip_derived_cl216_353,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1453_354,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl376,zip_derived_cl20]) ).
thf(zip_derived_cl1458,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n4 @ n8 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl1453]) ).
thf(zip_derived_cl87_355,plain,
( ( sum @ n4 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_356,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_357,plain,
( ( sum @ n4 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_358,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122_359,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_360,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2724,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n4 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1458,zip_derived_cl87,zip_derived_cl25,zip_derived_cl86,zip_derived_cl24,zip_derived_cl122,zip_derived_cl53]) ).
thf(zip_derived_cl1_361,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('53',plain,
( ( sk__1 != n8 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2724,zip_derived_cl1]) ).
thf(zip_derived_cl215_362,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1453_363,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl376,zip_derived_cl20]) ).
thf(zip_derived_cl1457,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n3 @ n8 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl215,zip_derived_cl1453]) ).
thf(zip_derived_cl76_364,plain,
( ( sum @ n3 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_365,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_366,plain,
( ( sum @ n3 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_367,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_368,plain,
( ( sum @ n8 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_369,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2722,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n3 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1457,zip_derived_cl76,zip_derived_cl24,zip_derived_cl75,zip_derived_cl23,zip_derived_cl132,zip_derived_cl41]) ).
thf(zip_derived_cl3_370,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('54',plain,
( ( sk__1 != n8 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2722,zip_derived_cl3]) ).
thf(zip_derived_cl214_371,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1453_372,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl376,zip_derived_cl20]) ).
thf(zip_derived_cl1456,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n2 @ n8 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl214,zip_derived_cl1453]) ).
thf(zip_derived_cl65_373,plain,
( ( sum @ n2 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_374,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_375,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl131_376,plain,
( ( sum @ n8 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl150_377,plain,
( ( sum @ n10 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2720,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n2 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1456,zip_derived_cl65,zip_derived_cl23,zip_derived_cl64,zip_derived_cl33,zip_derived_cl131,zip_derived_cl150]) ).
thf(zip_derived_cl5_378,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('55',plain,
( ( sk__1 != n8 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2720,zip_derived_cl5]) ).
thf(zip_derived_cl213_379,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1453_380,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl376,zip_derived_cl20]) ).
thf(zip_derived_cl1455,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n1 @ n8 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl213,zip_derived_cl1453]) ).
thf(zip_derived_cl54_381,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_382,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_383,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_384,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_385,plain,
( ( sum @ n8 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138_386,plain,
( ( sum @ n9 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2718,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n1 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1455,zip_derived_cl54,zip_derived_cl33,zip_derived_cl53,zip_derived_cl32,zip_derived_cl130,zip_derived_cl138]) ).
thf(zip_derived_cl7_387,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('56',plain,
( ( sk__1 != n8 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2718,zip_derived_cl7]) ).
thf(zip_derived_cl212_388,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1453_389,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl376,zip_derived_cl20]) ).
thf(zip_derived_cl1454,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n0 @ n8 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl1453]) ).
thf(zip_derived_cl43_390,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_391,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_392,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_393,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl129_394,plain,
( ( sum @ n8 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126_395,plain,
( ( sum @ n8 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2716,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n0 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1454,zip_derived_cl43,zip_derived_cl32,zip_derived_cl42,zip_derived_cl31,zip_derived_cl129,zip_derived_cl126]) ).
thf(zip_derived_cl9_396,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('57',plain,
( ( sk__1 != n8 )
| ( sk_ != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2716,zip_derived_cl9]) ).
thf(zip_derived_cl217_397,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1383_398,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl337]) ).
thf(zip_derived_cl1389,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n5 @ n7 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl217,zip_derived_cl1383]) ).
thf(zip_derived_cl97_399,plain,
( ( sum @ n5 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_400,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96,plain,
( ( sum @ n5 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_401,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111_402,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2678,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n5 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1389,zip_derived_cl97,zip_derived_cl25,zip_derived_cl96,zip_derived_cl24,zip_derived_cl111,zip_derived_cl52]) ).
thf(zip_derived_cl2_403,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('58',plain,
( ( sk__1 != n7 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2678,zip_derived_cl2]) ).
thf(zip_derived_cl217_404,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1357_405,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl336]) ).
thf(zip_derived_cl1363,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n5 @ n6 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl217,zip_derived_cl1357]) ).
thf(zip_derived_cl96_406,plain,
( ( sum @ n5 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_407,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95,plain,
( ( sum @ n5 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_408,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_409,plain,
( ( sum @ n6 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2630,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n5 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl96,zip_derived_cl24,zip_derived_cl95,zip_derived_cl23,zip_derived_cl110,zip_derived_cl39]) ).
thf(zip_derived_cl5_410,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('59',plain,
( ( sk_ != n5 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2630,zip_derived_cl5]) ).
thf(zip_derived_cl217_411,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1174_412,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl335]) ).
thf(zip_derived_cl1180,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n5 @ n5 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl217,zip_derived_cl1174]) ).
thf(zip_derived_cl95_413,plain,
( ( sum @ n5 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_414,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94_415,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_416,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_417,plain,
( ( sum @ n5 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147_418,plain,
( ( sum @ n10 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2462,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n5 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1180,zip_derived_cl95,zip_derived_cl23,zip_derived_cl94,zip_derived_cl33,zip_derived_cl98,zip_derived_cl147]) ).
thf(zip_derived_cl8_419,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('60',plain,
( ( sk__1 != n5 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2462,zip_derived_cl8]) ).
thf(zip_derived_cl217_420,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl985_421,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl334]) ).
thf(zip_derived_cl999,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n5 @ n4 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl217,zip_derived_cl985]) ).
thf(zip_derived_cl94_422,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_423,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_424,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_425,plain,
( ( sum @ n4 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2234,plain,
( ( sk__2
= ( sum @ n9 @ n1 ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl999,zip_derived_cl94,zip_derived_cl33,zip_derived_cl93,zip_derived_cl32,zip_derived_cl86]) ).
thf(zip_derived_cl134_426,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2254,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n5 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2234,zip_derived_cl134]) ).
thf(zip_derived_cl0_427,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('61',plain,
( ( sk_ != n5 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2254,zip_derived_cl0]) ).
thf(zip_derived_cl217_428,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl796_429,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl333]) ).
thf(zip_derived_cl808,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n5 @ n3 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl217,zip_derived_cl796]) ).
thf(zip_derived_cl93_430,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_431,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_432,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_433,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_434,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2047,plain,
( ( sk__2
= ( sum @ n8 @ n10 ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl808,zip_derived_cl93,zip_derived_cl32,zip_derived_cl92,zip_derived_cl31,zip_derived_cl74]) ).
thf(zip_derived_cl132_435,plain,
( ( sum @ n8 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2242,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n5 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2047,zip_derived_cl132]) ).
thf(zip_derived_cl3_436,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('62',plain,
( ( sk_ != n5 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2242,zip_derived_cl3]) ).
thf(zip_derived_cl92_437,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl217_438,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl656_439,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl332]) ).
thf(zip_derived_cl665,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n5 @ n2 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl217,zip_derived_cl656]) ).
thf(zip_derived_cl2006,plain,
( ( sk__2
= ( sum @ ( pred @ n8 ) @ ( sum @ n2 @ ( pred @ ( sum @ n5 @ n2 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl92,zip_derived_cl665]) ).
thf(zip_derived_cl31_440,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_441,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_442,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_443,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2007,plain,
( ( sk__2
= ( sum @ n7 @ n8 ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2006,zip_derived_cl31,zip_derived_cl91,zip_derived_cl30,zip_derived_cl62]) ).
thf(zip_derived_cl119_444,plain,
( ( sum @ n7 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2153,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n5 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2007,zip_derived_cl119]) ).
thf(zip_derived_cl6_445,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('63',plain,
( ( sk_ != n5 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2153,zip_derived_cl6]) ).
thf(zip_derived_cl91_446,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl217_447,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl549_448,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl331]) ).
thf(zip_derived_cl558,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n5 @ n1 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl217,zip_derived_cl549]) ).
thf(zip_derived_cl2000,plain,
( ( sk__2
= ( sum @ ( pred @ n7 ) @ ( sum @ n1 @ ( pred @ ( sum @ n5 @ n1 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl91,zip_derived_cl558]) ).
thf(zip_derived_cl30_449,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_450,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_451,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_452,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2003,plain,
( ( sk__2
= ( sum @ n6 @ n6 ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2000,zip_derived_cl30,zip_derived_cl90,zip_derived_cl29,zip_derived_cl50]) ).
thf(zip_derived_cl106,plain,
( ( sum @ n6 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2080,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n5 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2003,zip_derived_cl106]) ).
thf(zip_derived_cl9_453,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('64',plain,
( ( sk_ != n5 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2080,zip_derived_cl9]) ).
thf(zip_derived_cl90_454,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl217_455,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl438_456,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl330]) ).
thf(zip_derived_cl448,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n5 @ n0 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl217,zip_derived_cl438]) ).
thf(zip_derived_cl1992,plain,
( ( sk__2
= ( sum @ ( pred @ n6 ) @ ( sum @ n0 @ ( pred @ ( sum @ n5 @ n0 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl90,zip_derived_cl448]) ).
thf(zip_derived_cl29_457,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_458,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_459,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1995,plain,
( ( sk__2
= ( sum @ n5 @ n4 ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1992,zip_derived_cl29,zip_derived_cl89,zip_derived_cl28,zip_derived_cl38]) ).
thf(zip_derived_cl93_460,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2009,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n5 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1995,zip_derived_cl93]) ).
thf(zip_derived_cl1_461,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('65',plain,
( ( sk_ != n5 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2009,zip_derived_cl1]) ).
thf(zip_derived_cl114_462,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219_463,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl656_464,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl332]) ).
thf(zip_derived_cl667,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n7 @ n2 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl219,zip_derived_cl656]) ).
thf(zip_derived_cl2122,plain,
( ( sk__2
= ( sum @ ( pred @ n10 ) @ ( sum @ n2 @ ( pred @ ( sum @ n7 @ n2 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl667]) ).
thf(zip_derived_cl33_465,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_466,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_467,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2124,plain,
( ( sk__2
= ( sum @ n9 @ n10 ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2122,zip_derived_cl33,zip_derived_cl113,zip_derived_cl32,zip_derived_cl64]) ).
thf(zip_derived_cl143_468,plain,
( ( sum @ n9 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2311,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n7 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2124,zip_derived_cl143]) ).
thf(zip_derived_cl2_469,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('66',plain,
( ( sk__1 != n2 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2311,zip_derived_cl2]) ).
thf(zip_derived_cl103_470,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_471,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl656_472,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl332]) ).
thf(zip_derived_cl666,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n6 @ n2 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl218,zip_derived_cl656]) ).
thf(zip_derived_cl2062,plain,
( ( sk__2
= ( sum @ ( pred @ n9 ) @ ( sum @ n2 @ ( pred @ ( sum @ n6 @ n2 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl103,zip_derived_cl666]) ).
thf(zip_derived_cl32_473,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102_474,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_475,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2064,plain,
( ( sk__2
= ( sum @ n8 @ n9 ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2062,zip_derived_cl32,zip_derived_cl102,zip_derived_cl31,zip_derived_cl63]) ).
thf(zip_derived_cl131_476,plain,
( ( sum @ n8 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2230,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n6 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2064,zip_derived_cl131]) ).
thf(zip_derived_cl4_477,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('67',plain,
( ( sk__1 != n2 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2230,zip_derived_cl4]) ).
thf(zip_derived_cl216_478,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl656_479,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl332]) ).
thf(zip_derived_cl664,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n4 @ n2 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl656]) ).
thf(zip_derived_cl81,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_480,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_481,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_482,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_483,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1967,plain,
( ( sk__2
= ( sum @ n6 @ n7 ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl664,zip_derived_cl81,zip_derived_cl30,zip_derived_cl80,zip_derived_cl29,zip_derived_cl61]) ).
thf(zip_derived_cl107,plain,
( ( sum @ n6 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2085,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n4 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1967,zip_derived_cl107]) ).
thf(zip_derived_cl8_484,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('68',plain,
( ( sk__1 != n2 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2085,zip_derived_cl8]) ).
thf(zip_derived_cl215_485,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl656_486,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl332]) ).
thf(zip_derived_cl663,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n3 @ n2 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl215,zip_derived_cl656]) ).
thf(zip_derived_cl70,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_487,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_488,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_489,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1960,plain,
( ( sk__2
= ( sum @ n5 @ n6 ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl663,zip_derived_cl70,zip_derived_cl29,zip_derived_cl69,zip_derived_cl28,zip_derived_cl60]) ).
thf(zip_derived_cl95_490,plain,
( ( sum @ n5 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2027,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n3 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1960,zip_derived_cl95]) ).
thf(zip_derived_cl10_491,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('69',plain,
( ( sk__1 != n2 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2027,zip_derived_cl10]) ).
thf(zip_derived_cl214_492,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl656_493,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl332]) ).
thf(zip_derived_cl662,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n2 @ n2 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl214,zip_derived_cl656]) ).
thf(zip_derived_cl59,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_494,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_495,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_496,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1953,plain,
( ( sk__2
= ( sum @ n4 @ n5 ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl662,zip_derived_cl59,zip_derived_cl28,zip_derived_cl58,zip_derived_cl27,zip_derived_cl59]) ).
thf(zip_derived_cl83,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1970,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n2 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1953,zip_derived_cl83]) ).
thf(zip_derived_cl1_497,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('70',plain,
( ( sk__1 != n2 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1970,zip_derived_cl1]) ).
thf(zip_derived_cl213_498,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl656_499,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl332]) ).
thf(zip_derived_cl661,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n1 @ n2 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl213,zip_derived_cl656]) ).
thf(zip_derived_cl48_500,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_501,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_502,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_503,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_504,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1951,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n1 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl661,zip_derived_cl48,zip_derived_cl27,zip_derived_cl47,zip_derived_cl26,zip_derived_cl58,zip_derived_cl71]) ).
thf(zip_derived_cl3_505,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('71',plain,
( ( sk__1 != n2 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1951,zip_derived_cl3]) ).
thf(zip_derived_cl212_506,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl656_507,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl332]) ).
thf(zip_derived_cl660,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n0 @ n2 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl656]) ).
thf(zip_derived_cl37,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_508,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_509,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_510,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_511,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1949,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n0 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl660,zip_derived_cl37,zip_derived_cl26,zip_derived_cl36,zip_derived_cl25,zip_derived_cl57,zip_derived_cl59]) ).
thf(zip_derived_cl5_512,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('72',plain,
( ( sk__1 != n2 )
| ( sk_ != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1949,zip_derived_cl5]) ).
thf(zip_derived_cl218_513,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1383_514,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl337]) ).
thf(zip_derived_cl1390,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n6 @ n7 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl218,zip_derived_cl1383]) ).
thf(zip_derived_cl108_515,plain,
( ( sum @ n6 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_516,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107_517,plain,
( ( sum @ n6 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_518,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_519,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2680,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n6 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1390,zip_derived_cl108,zip_derived_cl26,zip_derived_cl107,zip_derived_cl25,zip_derived_cl112,zip_derived_cl64]) ).
thf(zip_derived_cl0_520,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('73',plain,
( ( sk__1 != n7 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2680,zip_derived_cl0]) ).
thf(zip_derived_cl218_521,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1357_522,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl336]) ).
thf(zip_derived_cl1364,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n6 @ n6 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl218,zip_derived_cl1357]) ).
thf(zip_derived_cl107_523,plain,
( ( sum @ n6 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_524,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106_525,plain,
( ( sum @ n6 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_526,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100_527,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_528,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2632,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n6 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1364,zip_derived_cl107,zip_derived_cl25,zip_derived_cl106,zip_derived_cl24,zip_derived_cl100,zip_derived_cl51]) ).
thf(zip_derived_cl3_529,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('74',plain,
( ( sk_ != n6 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2632,zip_derived_cl3]) ).
thf(zip_derived_cl218_530,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1174_531,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl335]) ).
thf(zip_derived_cl1181,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n6 @ n5 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl218,zip_derived_cl1174]) ).
thf(zip_derived_cl106_532,plain,
( ( sum @ n6 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_533,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl105,plain,
( ( sum @ n6 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_534,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99_535,plain,
( ( sum @ n5 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_536,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2464,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n6 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1181,zip_derived_cl106,zip_derived_cl24,zip_derived_cl105,zip_derived_cl23,zip_derived_cl99,zip_derived_cl38]) ).
thf(zip_derived_cl6_537,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('75',plain,
( ( sk__1 != n5 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2464,zip_derived_cl6]) ).
thf(zip_derived_cl218_538,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl985_539,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl334]) ).
thf(zip_derived_cl1000,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n6 @ n4 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl218,zip_derived_cl985]) ).
thf(zip_derived_cl105_540,plain,
( ( sum @ n6 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_541,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104_542,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_543,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_544,plain,
( ( sum @ n4 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2237,plain,
( ( sk__2
= ( sum @ n10 @ n2 ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1000,zip_derived_cl105,zip_derived_cl23,zip_derived_cl104,zip_derived_cl33,zip_derived_cl87]) ).
thf(zip_derived_cl146_545,plain,
( ( sum @ n10 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2342,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n6 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2237,zip_derived_cl146]) ).
thf(zip_derived_cl9_546,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('76',plain,
( ( sk_ != n6 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2342,zip_derived_cl9]) ).
thf(zip_derived_cl104_547,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_548,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl796_549,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl333]) ).
thf(zip_derived_cl809,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n6 @ n3 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl218,zip_derived_cl796]) ).
thf(zip_derived_cl2067,plain,
( ( sk__2
= ( sum @ ( pred @ n10 ) @ ( sum @ n3 @ ( pred @ ( sum @ n6 @ n3 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl809]) ).
thf(zip_derived_cl33_550,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103_551,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_552,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_553,plain,
( ( sum @ n3 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2068,plain,
( ( sk__2
= ( sum @ n9 @ n0 ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2067,zip_derived_cl33,zip_derived_cl103,zip_derived_cl32,zip_derived_cl75]) ).
thf(zip_derived_cl133_554,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2245,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n6 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2068,zip_derived_cl133]) ).
thf(zip_derived_cl1_555,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('77',plain,
( ( sk_ != n6 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2245,zip_derived_cl1]) ).
thf(zip_derived_cl102_556,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_557,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl549_558,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl331]) ).
thf(zip_derived_cl559,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n6 @ n1 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl218,zip_derived_cl549]) ).
thf(zip_derived_cl2056,plain,
( ( sk__2
= ( sum @ ( pred @ n8 ) @ ( sum @ n1 @ ( pred @ ( sum @ n6 @ n1 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl102,zip_derived_cl559]) ).
thf(zip_derived_cl31_559,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101_560,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_561,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_562,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2059,plain,
( ( sk__2
= ( sum @ n7 @ n7 ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2056,zip_derived_cl31,zip_derived_cl101,zip_derived_cl30,zip_derived_cl51]) ).
thf(zip_derived_cl118,plain,
( ( sum @ n7 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2143,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n6 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2059,zip_derived_cl118]) ).
thf(zip_derived_cl7_563,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('78',plain,
( ( sk_ != n6 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2143,zip_derived_cl7]) ).
thf(zip_derived_cl101_564,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_565,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl438_566,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl330]) ).
thf(zip_derived_cl449,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n6 @ n0 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl218,zip_derived_cl438]) ).
thf(zip_derived_cl2050,plain,
( ( sk__2
= ( sum @ ( pred @ n7 ) @ ( sum @ n0 @ ( pred @ ( sum @ n6 @ n0 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl101,zip_derived_cl449]) ).
thf(zip_derived_cl30_567,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100_568,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_569,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_570,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2053,plain,
( ( sk__2
= ( sum @ n6 @ n5 ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2050,zip_derived_cl30,zip_derived_cl100,zip_derived_cl29,zip_derived_cl39]) ).
thf(zip_derived_cl105_571,plain,
( ( sum @ n6 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2071,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n6 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2053,zip_derived_cl105]) ).
thf(zip_derived_cl10_572,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('79',plain,
( ( sk_ != n6 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2071,zip_derived_cl10]) ).
thf(zip_derived_cl219_573,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl985_574,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl334]) ).
thf(zip_derived_cl1001,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n7 @ n4 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl219,zip_derived_cl985]) ).
thf(zip_derived_cl116_575,plain,
( ( sum @ n7 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_576,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115_577,plain,
( ( sum @ n7 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_578,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_579,plain,
( ( sum @ n4 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_580,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2240,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n7 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1001,zip_derived_cl116,zip_derived_cl24,zip_derived_cl115,zip_derived_cl23,zip_derived_cl88,zip_derived_cl37]) ).
thf(zip_derived_cl7_581,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('80',plain,
( ( sk__1 != n4 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2240,zip_derived_cl7]) ).
thf(zip_derived_cl216_582,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl985_583,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl334]) ).
thf(zip_derived_cl998,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n4 @ n4 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl985]) ).
thf(zip_derived_cl83_584,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_585,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_586,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85,plain,
( ( sum @ n4 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122_587,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2232,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n4 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl998,zip_derived_cl83,zip_derived_cl32,zip_derived_cl82,zip_derived_cl31,zip_derived_cl85,zip_derived_cl122]) ).
thf(zip_derived_cl2_588,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('81',plain,
( ( sk__1 != n4 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2232,zip_derived_cl2]) ).
thf(zip_derived_cl215_589,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl985_590,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl334]) ).
thf(zip_derived_cl997,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n3 @ n4 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl215,zip_derived_cl985]) ).
thf(zip_derived_cl72,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_591,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_592,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_593,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121_594,plain,
( ( sum @ n7 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2228,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n3 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl997,zip_derived_cl72,zip_derived_cl31,zip_derived_cl71,zip_derived_cl30,zip_derived_cl84,zip_derived_cl121]) ).
thf(zip_derived_cl4_595,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('82',plain,
( ( sk__1 != n4 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2228,zip_derived_cl4]) ).
thf(zip_derived_cl214_596,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl985_597,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl334]) ).
thf(zip_derived_cl996,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n2 @ n4 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl214,zip_derived_cl985]) ).
thf(zip_derived_cl61_598,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_599,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_600,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_601,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_602,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109_603,plain,
( ( sum @ n6 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2226,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n2 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl996,zip_derived_cl61,zip_derived_cl30,zip_derived_cl60,zip_derived_cl29,zip_derived_cl83,zip_derived_cl109]) ).
thf(zip_derived_cl6_604,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('83',plain,
( ( sk__1 != n4 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2226,zip_derived_cl6]) ).
thf(zip_derived_cl213_605,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl985_606,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl334]) ).
thf(zip_derived_cl995,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n1 @ n4 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl213,zip_derived_cl985]) ).
thf(zip_derived_cl50_607,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_608,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_609,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_610,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_611,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97_612,plain,
( ( sum @ n5 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2224,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n1 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl995,zip_derived_cl50,zip_derived_cl29,zip_derived_cl49,zip_derived_cl28,zip_derived_cl82,zip_derived_cl97]) ).
thf(zip_derived_cl8_613,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('84',plain,
( ( sk__1 != n4 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2224,zip_derived_cl8]) ).
thf(zip_derived_cl212_614,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl985_615,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl334]) ).
thf(zip_derived_cl994,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n0 @ n4 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl985]) ).
thf(zip_derived_cl39_616,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_617,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_618,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_619,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_620,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_621,plain,
( ( sum @ n4 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2220,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n0 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl994,zip_derived_cl39,zip_derived_cl28,zip_derived_cl38,zip_derived_cl27,zip_derived_cl81,zip_derived_cl85]) ).
thf(zip_derived_cl10_622,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('85',plain,
( ( sk__1 != n4 )
| ( sk_ != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2220,zip_derived_cl10]) ).
thf(zip_derived_cl219_623,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1383_624,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl337]) ).
thf(zip_derived_cl1391,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n7 @ n7 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl219,zip_derived_cl1383]) ).
thf(zip_derived_cl119_625,plain,
( ( sum @ n7 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_626,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118_627,plain,
( ( sum @ n7 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_628,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113_629,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_630,plain,
( ( sum @ n3 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2682,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n7 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1391,zip_derived_cl119,zip_derived_cl27,zip_derived_cl118,zip_derived_cl26,zip_derived_cl113,zip_derived_cl76]) ).
thf(zip_derived_cl9_631,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('86',plain,
( ( sk__1 != n7 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2682,zip_derived_cl9]) ).
thf(zip_derived_cl219_632,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1357_633,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl336]) ).
thf(zip_derived_cl1365,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n7 @ n6 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl219,zip_derived_cl1357]) ).
thf(zip_derived_cl118_634,plain,
( ( sum @ n7 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_635,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117,plain,
( ( sum @ n7 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_636,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101_637,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_638,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2634,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n7 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1365,zip_derived_cl118,zip_derived_cl26,zip_derived_cl117,zip_derived_cl25,zip_derived_cl101,zip_derived_cl63]) ).
thf(zip_derived_cl1_639,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('87',plain,
( ( sk_ != n7 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2634,zip_derived_cl1]) ).
thf(zip_derived_cl219_640,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1174_641,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl335]) ).
thf(zip_derived_cl1182,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n7 @ n5 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl219,zip_derived_cl1174]) ).
thf(zip_derived_cl117_642,plain,
( ( sum @ n7 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_643,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116_644,plain,
( ( sum @ n7 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_645,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_646,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_647,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2466,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n7 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1182,zip_derived_cl117,zip_derived_cl25,zip_derived_cl116,zip_derived_cl24,zip_derived_cl89,zip_derived_cl50]) ).
thf(zip_derived_cl4_648,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('88',plain,
( ( sk__1 != n5 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2466,zip_derived_cl4]) ).
thf(zip_derived_cl115_649,plain,
( ( sum @ n7 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219_650,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl796_651,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl333]) ).
thf(zip_derived_cl810,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n7 @ n3 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl219,zip_derived_cl796]) ).
thf(zip_derived_cl2129,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n3 @ ( pred @ ( sum @ n7 @ n3 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl115,zip_derived_cl810]) ).
thf(zip_derived_cl23_652,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114_653,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_654,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_655,plain,
( ( sum @ n3 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2131,plain,
( ( sk__2
= ( sum @ n10 @ n1 ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2129,zip_derived_cl23,zip_derived_cl114,zip_derived_cl33,zip_derived_cl76]) ).
thf(zip_derived_cl145_656,plain,
( ( sum @ n10 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2331,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n7 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2131,zip_derived_cl145]) ).
thf(zip_derived_cl10_657,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('89',plain,
( ( sk_ != n7 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2331,zip_derived_cl10]) ).
thf(zip_derived_cl113_658,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219_659,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl549_660,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl331]) ).
thf(zip_derived_cl560,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n7 @ n1 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl219,zip_derived_cl549]) ).
thf(zip_derived_cl2117,plain,
( ( sk__2
= ( sum @ ( pred @ n9 ) @ ( sum @ n1 @ ( pred @ ( sum @ n7 @ n1 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl113,zip_derived_cl560]) ).
thf(zip_derived_cl32_661,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_662,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_663,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_664,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2119,plain,
( ( sk__2
= ( sum @ n8 @ n8 ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2117,zip_derived_cl32,zip_derived_cl112,zip_derived_cl31,zip_derived_cl52]) ).
thf(zip_derived_cl130_665,plain,
( ( sum @ n8 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2222,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n7 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2119,zip_derived_cl130]) ).
thf(zip_derived_cl5_666,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('90',plain,
( ( sk_ != n7 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2222,zip_derived_cl5]) ).
thf(zip_derived_cl112_667,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219_668,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl438_669,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl330]) ).
thf(zip_derived_cl450,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n7 @ n0 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl219,zip_derived_cl438]) ).
thf(zip_derived_cl2111,plain,
( ( sk__2
= ( sum @ ( pred @ n8 ) @ ( sum @ n0 @ ( pred @ ( sum @ n7 @ n0 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl112,zip_derived_cl450]) ).
thf(zip_derived_cl31_670,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111_671,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_672,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2114,plain,
( ( sk__2
= ( sum @ n7 @ n6 ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2111,zip_derived_cl31,zip_derived_cl111,zip_derived_cl30,zip_derived_cl40]) ).
thf(zip_derived_cl117_673,plain,
( ( sum @ n7 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2139,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n7 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2114,zip_derived_cl117]) ).
thf(zip_derived_cl8_674,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('91',plain,
( ( sk_ != n7 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2139,zip_derived_cl8]) ).
thf(zip_derived_cl80_675,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_676,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl549_677,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl331]) ).
thf(zip_derived_cl557,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n4 @ n1 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl549]) ).
thf(zip_derived_cl1961,plain,
( ( sk__2
= ( sum @ ( pred @ n6 ) @ ( sum @ n1 @ ( pred @ ( sum @ n4 @ n1 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl80,zip_derived_cl557]) ).
thf(zip_derived_cl29_678,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_679,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_680,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_681,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1963,plain,
( ( sk__2
= ( sum @ n5 @ n5 ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1961,zip_derived_cl29,zip_derived_cl79,zip_derived_cl28,zip_derived_cl49]) ).
thf(zip_derived_cl94_682,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2017,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n4 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1963,zip_derived_cl94]) ).
thf(zip_derived_cl0_683,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('92',plain,
( ( sk__1 != n1 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2017,zip_derived_cl0]) ).
thf(zip_derived_cl215_684,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl549_685,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl331]) ).
thf(zip_derived_cl556,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n3 @ n1 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl215,zip_derived_cl549]) ).
thf(zip_derived_cl69_686,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_687,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_688,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_689,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_690,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1939,plain,
( ( sk__2
= ( sum @ n4 @ n4 ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl556,zip_derived_cl69,zip_derived_cl28,zip_derived_cl68,zip_derived_cl27,zip_derived_cl48]) ).
thf(zip_derived_cl82_691,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1968,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n3 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1939,zip_derived_cl82]) ).
thf(zip_derived_cl2_692,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('93',plain,
( ( sk__1 != n1 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1968,zip_derived_cl2]) ).
thf(zip_derived_cl214_693,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl549_694,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl331]) ).
thf(zip_derived_cl555,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n2 @ n1 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl214,zip_derived_cl549]) ).
thf(zip_derived_cl58_695,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_696,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_697,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_698,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_699,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_700,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1937,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n2 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl555,zip_derived_cl58,zip_derived_cl27,zip_derived_cl57,zip_derived_cl26,zip_derived_cl47,zip_derived_cl70]) ).
thf(zip_derived_cl4_701,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('94',plain,
( ( sk__1 != n1 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1937,zip_derived_cl4]) ).
thf(zip_derived_cl213_702,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl549_703,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl331]) ).
thf(zip_derived_cl554,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n1 @ n1 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl213,zip_derived_cl549]) ).
thf(zip_derived_cl47_704,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_705,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_706,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_707,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_708,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1935,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n1 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl554,zip_derived_cl47,zip_derived_cl26,zip_derived_cl46,zip_derived_cl25,zip_derived_cl46,zip_derived_cl58]) ).
thf(zip_derived_cl6_709,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('95',plain,
( ( sk__1 != n1 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1935,zip_derived_cl6]) ).
thf(zip_derived_cl212_710,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl549_711,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl331]) ).
thf(zip_derived_cl553,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n0 @ n1 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl549]) ).
thf(zip_derived_cl36_712,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_713,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_714,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_715,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_716,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_717,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1933,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n0 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl553,zip_derived_cl36,zip_derived_cl25,zip_derived_cl35,zip_derived_cl24,zip_derived_cl45,zip_derived_cl46]) ).
thf(zip_derived_cl8_718,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('96',plain,
( ( sk__1 != n1 )
| ( sk_ != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1933,zip_derived_cl8]) ).
thf(zip_derived_cl214_719,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1383_720,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl337]) ).
thf(zip_derived_cl1386,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n2 @ n7 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl214,zip_derived_cl1383]) ).
thf(zip_derived_cl64_721,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_722,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_723,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_724,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119_725,plain,
( ( sum @ n7 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_726,plain,
( ( sum @ n9 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2672,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n2 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1386,zip_derived_cl64,zip_derived_cl33,zip_derived_cl63,zip_derived_cl32,zip_derived_cl119,zip_derived_cl137]) ).
thf(zip_derived_cl8_727,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('97',plain,
( ( sk__1 != n7 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2672,zip_derived_cl8]) ).
thf(zip_derived_cl214_728,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1357_729,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl336]) ).
thf(zip_derived_cl1360,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n2 @ n6 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl214,zip_derived_cl1357]) ).
thf(zip_derived_cl63_730,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_731,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_732,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_733,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107_734,plain,
( ( sum @ n6 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124_735,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2622,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n2 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1360,zip_derived_cl63,zip_derived_cl32,zip_derived_cl62,zip_derived_cl31,zip_derived_cl107,zip_derived_cl124]) ).
thf(zip_derived_cl0_736,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('98',plain,
( ( sk_ != n2 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2622,zip_derived_cl0]) ).
thf(zip_derived_cl214_737,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1174_738,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl335]) ).
thf(zip_derived_cl1177,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n2 @ n5 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl214,zip_derived_cl1174]) ).
thf(zip_derived_cl62_739,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_740,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_741,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_742,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95_743,plain,
( ( sum @ n5 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111_744,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2456,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n2 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1177,zip_derived_cl62,zip_derived_cl31,zip_derived_cl61,zip_derived_cl30,zip_derived_cl95,zip_derived_cl111]) ).
thf(zip_derived_cl3_745,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('99',plain,
( ( sk__1 != n5 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2456,zip_derived_cl3]) ).
thf(zip_derived_cl214_746,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl796_747,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl333]) ).
thf(zip_derived_cl805,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n2 @ n3 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl214,zip_derived_cl796]) ).
thf(zip_derived_cl60_748,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_749,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_750,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_751,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_752,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_753,plain,
( ( sum @ n5 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2043,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n2 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl805,zip_derived_cl60,zip_derived_cl29,zip_derived_cl59,zip_derived_cl28,zip_derived_cl71,zip_derived_cl96]) ).
thf(zip_derived_cl9_754,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('100',plain,
( ( sk_ != n2 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2043,zip_derived_cl9]) ).
thf(zip_derived_cl214_755,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl438_756,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl330]) ).
thf(zip_derived_cl445,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n2 @ n0 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl214,zip_derived_cl438]) ).
thf(zip_derived_cl57_757,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_758,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_759,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_760,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_761,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_762,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1915,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n2 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl445,zip_derived_cl57,zip_derived_cl26,zip_derived_cl56,zip_derived_cl25,zip_derived_cl35,zip_derived_cl57]) ).
thf(zip_derived_cl7_763,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('101',plain,
( ( sk_ != n2 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1915,zip_derived_cl7]) ).
thf(zip_derived_cl79_764,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_765,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl438_766,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl330]) ).
thf(zip_derived_cl447,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n4 @ n0 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl438]) ).
thf(zip_derived_cl1954,plain,
( ( sk__2
= ( sum @ ( pred @ n5 ) @ ( sum @ n0 @ ( pred @ ( sum @ n4 @ n0 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl79,zip_derived_cl447]) ).
thf(zip_derived_cl28_767,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_768,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_769,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_770,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1957,plain,
( ( sk__2
= ( sum @ n4 @ n3 ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1954,zip_derived_cl28,zip_derived_cl78,zip_derived_cl27,zip_derived_cl37]) ).
thf(zip_derived_cl81_771,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1965,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n4 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1957,zip_derived_cl81]) ).
thf(zip_derived_cl3_772,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('102',plain,
( ( sk__1 != n0 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1965,zip_derived_cl3]) ).
thf(zip_derived_cl68_773,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl215_774,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl438_775,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl330]) ).
thf(zip_derived_cl446,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n3 @ n0 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl215,zip_derived_cl438]) ).
thf(zip_derived_cl1925,plain,
( ( sk__2
= ( sum @ ( pred @ n4 ) @ ( sum @ n0 @ ( pred @ ( sum @ n3 @ n0 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl68,zip_derived_cl446]) ).
thf(zip_derived_cl27_776,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_777,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_778,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_779,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1927,plain,
( ( sk__2
= ( sum @ n3 @ n2 ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1925,zip_derived_cl27,zip_derived_cl67,zip_derived_cl26,zip_derived_cl36]) ).
thf(zip_derived_cl69_780,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1929,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n3 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1927,zip_derived_cl69]) ).
thf(zip_derived_cl5_781,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('103',plain,
( ( sk__1 != n0 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1929,zip_derived_cl5]) ).
thf(zip_derived_cl213_782,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl438_783,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl330]) ).
thf(zip_derived_cl444,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n1 @ n0 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl213,zip_derived_cl438]) ).
thf(zip_derived_cl46_784,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_785,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_786,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_787,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_788,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_789,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1913,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n1 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl444,zip_derived_cl46,zip_derived_cl25,zip_derived_cl45,zip_derived_cl24,zip_derived_cl34,zip_derived_cl45]) ).
thf(zip_derived_cl9_790,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('104',plain,
( ( sk__1 != n0 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1913,zip_derived_cl9]) ).
thf(zip_derived_cl212_791,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl438_792,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl330]) ).
thf(zip_derived_cl443,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n0 @ n0 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl438]) ).
thf(zip_derived_cl35_793,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_794,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_795,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_796,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_797,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_798,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1911,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n0 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl443,zip_derived_cl35,zip_derived_cl24,zip_derived_cl34,zip_derived_cl23,zip_derived_cl44,zip_derived_cl44]) ).
thf(zip_derived_cl0_799,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('105',plain,
( ( sk__1 != n0 )
| ( sk_ != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1911,zip_derived_cl0]) ).
thf(zip_derived_cl216_800,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1383_801,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl337]) ).
thf(zip_derived_cl1388,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n4 @ n7 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl1383]) ).
thf(zip_derived_cl86_802,plain,
( ( sum @ n4 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_803,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_804,plain,
( ( sum @ n4 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_805,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121_806,plain,
( ( sum @ n7 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_807,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2676,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n4 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1388,zip_derived_cl86,zip_derived_cl24,zip_derived_cl85,zip_derived_cl23,zip_derived_cl121,zip_derived_cl40]) ).
thf(zip_derived_cl4_808,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('106',plain,
( ( sk__1 != n7 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2676,zip_derived_cl4]) ).
thf(zip_derived_cl216_809,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1357_810,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl336]) ).
thf(zip_derived_cl1362,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n4 @ n6 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl1357]) ).
thf(zip_derived_cl85_811,plain,
( ( sum @ n4 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_812,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_813,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_814,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109_815,plain,
( ( sum @ n6 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148_816,plain,
( ( sum @ n10 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2628,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n4 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1362,zip_derived_cl85,zip_derived_cl23,zip_derived_cl84,zip_derived_cl33,zip_derived_cl109,zip_derived_cl148]) ).
thf(zip_derived_cl7_817,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('107',plain,
( ( sk_ != n4 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2628,zip_derived_cl7]) ).
thf(zip_derived_cl216_818,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1174_819,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl335]) ).
thf(zip_derived_cl1179,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n4 @ n5 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl1174]) ).
thf(zip_derived_cl84_820,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_821,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_822,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_823,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97_824,plain,
( ( sum @ n5 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_825,plain,
( ( sum @ n9 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2460,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n4 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1179,zip_derived_cl84,zip_derived_cl33,zip_derived_cl83,zip_derived_cl32,zip_derived_cl97,zip_derived_cl135]) ).
thf(zip_derived_cl10_826,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('108',plain,
( ( sk__1 != n5 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2460,zip_derived_cl10]) ).
thf(zip_derived_cl216_827,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl796_828,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl333]) ).
thf(zip_derived_cl807,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n4 @ n3 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl796]) ).
thf(zip_derived_cl82_829,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_830,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_831,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_832,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_833,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2046,plain,
( ( sk__2
= ( sum @ n7 @ n9 ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl807,zip_derived_cl82,zip_derived_cl31,zip_derived_cl81,zip_derived_cl30,zip_derived_cl73]) ).
thf(zip_derived_cl120_834,plain,
( ( sum @ n7 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2161,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n4 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2046,zip_derived_cl120]) ).
thf(zip_derived_cl5_835,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('109',plain,
( ( sk_ != n4 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2161,zip_derived_cl5]) ).
thf(zip_derived_cl215_836,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1357_837,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl336]) ).
thf(zip_derived_cl1361,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n3 @ n6 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl215,zip_derived_cl1357]) ).
thf(zip_derived_cl74_838,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_839,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_840,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_841,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_842,plain,
( ( sum @ n6 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136_843,plain,
( ( sum @ n9 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2626,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n3 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1361,zip_derived_cl74,zip_derived_cl33,zip_derived_cl73,zip_derived_cl32,zip_derived_cl108,zip_derived_cl136]) ).
thf(zip_derived_cl9_844,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('110',plain,
( ( sk__1 != n6 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2626,zip_derived_cl9]) ).
thf(zip_derived_cl213_845,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1357_846,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl336]) ).
thf(zip_derived_cl1359,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n1 @ n6 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl213,zip_derived_cl1357]) ).
thf(zip_derived_cl52_847,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_848,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_849,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_850,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106_851,plain,
( ( sum @ n6 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_852,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2620,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n1 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1359,zip_derived_cl52,zip_derived_cl31,zip_derived_cl51,zip_derived_cl30,zip_derived_cl106,zip_derived_cl112]) ).
thf(zip_derived_cl2_853,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('111',plain,
( ( sk__1 != n6 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2620,zip_derived_cl2]) ).
thf(zip_derived_cl212_854,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1357_855,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl336]) ).
thf(zip_derived_cl1358,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n0 @ n6 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl1357]) ).
thf(zip_derived_cl41_856,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_857,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_858,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_859,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl105_860,plain,
( ( sum @ n6 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100_861,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2618,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n0 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1358,zip_derived_cl41,zip_derived_cl30,zip_derived_cl40,zip_derived_cl29,zip_derived_cl105,zip_derived_cl100]) ).
thf(zip_derived_cl4_862,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('112',plain,
( ( sk__1 != n6 )
| ( sk_ != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2618,zip_derived_cl4]) ).
thf(zip_derived_cl215_863,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1383_864,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl337]) ).
thf(zip_derived_cl1387,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n3 @ n7 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl215,zip_derived_cl1383]) ).
thf(zip_derived_cl75_865,plain,
( ( sum @ n3 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_866,plain,
( ( pred @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_867,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_868,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120_869,plain,
( ( sum @ n7 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149_870,plain,
( ( sum @ n10 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2674,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n3 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1387,zip_derived_cl75,zip_derived_cl23,zip_derived_cl74,zip_derived_cl33,zip_derived_cl120,zip_derived_cl149]) ).
thf(zip_derived_cl6_871,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('113',plain,
( ( sk__1 != n7 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2674,zip_derived_cl6]) ).
thf(zip_derived_cl215_872,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1174_873,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl335]) ).
thf(zip_derived_cl1178,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n3 @ n5 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl215,zip_derived_cl1174]) ).
thf(zip_derived_cl73_874,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_875,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_876,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_877,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_878,plain,
( ( sum @ n5 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl123_879,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2458,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n3 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1178,zip_derived_cl73,zip_derived_cl32,zip_derived_cl72,zip_derived_cl31,zip_derived_cl96,zip_derived_cl123]) ).
thf(zip_derived_cl1_880,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('114',plain,
( ( sk__1 != n5 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2458,zip_derived_cl1]) ).
thf(zip_derived_cl215_881,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl796_882,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl333]) ).
thf(zip_derived_cl806,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n3 @ n3 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl215,zip_derived_cl796]) ).
thf(zip_derived_cl71_883,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_884,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_885,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_886,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_887,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2045,plain,
( ( sk__2
= ( sum @ n6 @ n8 ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl806,zip_derived_cl71,zip_derived_cl30,zip_derived_cl70,zip_derived_cl29,zip_derived_cl72]) ).
thf(zip_derived_cl108_888,plain,
( ( sum @ n6 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2087,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n3 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2045,zip_derived_cl108]) ).
thf(zip_derived_cl7_889,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('115',plain,
( ( sk_ != n3 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2087,zip_derived_cl7]) ).
thf(zip_derived_cl213_890,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl796_891,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl333]) ).
thf(zip_derived_cl804,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n1 @ n3 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl213,zip_derived_cl796]) ).
thf(zip_derived_cl49_892,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_893,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_894,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_895,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_896,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_897,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2041,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n1 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl804,zip_derived_cl49,zip_derived_cl28,zip_derived_cl48,zip_derived_cl27,zip_derived_cl70,zip_derived_cl84]) ).
thf(zip_derived_cl0_898,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('116',plain,
( ( sk__1 != n3 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2041,zip_derived_cl0]) ).
thf(zip_derived_cl212_899,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl796_900,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl333]) ).
thf(zip_derived_cl803,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n0 @ n3 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl796]) ).
thf(zip_derived_cl38_901,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_902,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_903,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_904,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_905,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_906,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2039,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n0 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl803,zip_derived_cl38,zip_derived_cl27,zip_derived_cl37,zip_derived_cl26,zip_derived_cl69,zip_derived_cl72]) ).
thf(zip_derived_cl2_907,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('117',plain,
( ( sk__1 != n3 )
| ( sk_ != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2039,zip_derived_cl2]) ).
thf(zip_derived_cl212_908,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1383_909,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl337]) ).
thf(zip_derived_cl1384,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n0 @ n7 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl1383]) ).
thf(zip_derived_cl42_910,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_911,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_912,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_913,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117_914,plain,
( ( sum @ n7 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113_915,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2666,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n0 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1384,zip_derived_cl42,zip_derived_cl31,zip_derived_cl41,zip_derived_cl30,zip_derived_cl117,zip_derived_cl113]) ).
thf(zip_derived_cl1_916,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('118',plain,
( ( sk__1 != n7 )
| ( sk_ != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2666,zip_derived_cl1]) ).
thf(zip_derived_cl212_917,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1174_918,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl335]) ).
thf(zip_derived_cl1175,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n0 @ n5 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl1174]) ).
thf(zip_derived_cl40_919,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_920,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_921,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_922,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_923,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_924,plain,
( ( sum @ n5 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2452,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n0 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1175,zip_derived_cl40,zip_derived_cl29,zip_derived_cl39,zip_derived_cl28,zip_derived_cl93,zip_derived_cl98]) ).
thf(zip_derived_cl7_925,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('119',plain,
( ( sk__1 != n5 )
| ( sk_ != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2452,zip_derived_cl7]) ).
thf('120',plain,
( ( sk_ = n1 )
| ( sk_ = n0 )
| ( sk_ = n8 )
| ( sk_ = n10 )
| ( sk_ = n9 )
| ( sk_ = n5 )
| ( sk_ = n6 )
| ( sk_ = n7 )
| ( sk_ = n2 )
| ( sk_ = n4 )
| ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl213_926,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1383_927,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl337]) ).
thf(zip_derived_cl1385,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n1 @ n7 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl213,zip_derived_cl1383]) ).
thf(zip_derived_cl53_928,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_929,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_930,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_931,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118_932,plain,
( ( sum @ n7 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl125_933,plain,
( ( sum @ n8 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2670,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n1 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1385,zip_derived_cl53,zip_derived_cl32,zip_derived_cl52,zip_derived_cl31,zip_derived_cl118,zip_derived_cl125]) ).
thf(zip_derived_cl10_934,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('121',plain,
( ( sk__1 != n7 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2670,zip_derived_cl10]) ).
thf('122',plain,
( ( sk__1 = n7 )
| ( sk__1 = n5 )
| ( sk__1 = n9 )
| ( sk__1 = n10 )
| ( sk__1 = n8 )
| ( sk__1 = n2 )
| ( sk__1 = n4 )
| ( sk__1 = n1 )
| ( sk__1 = n0 )
| ( sk__1 = n6 )
| ( sk__1 = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl156]) ).
thf(zip_derived_cl2836,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
% 0.00/0.12 % Problem : NUM375+1.010 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wyKC8Yt0iU true
% 0.13/0.34 % Computer : n012.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 17:00:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.63/1.05 % Solved by fo/fo1_av.sh.
% 1.63/1.05 % done 1111 iterations in 0.243s
% 1.63/1.05 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.63/1.05 % SZS output start Refutation
% See solution above
% 1.63/1.06
% 1.63/1.06
% 1.98/1.07 % Terminating...
% 2.05/1.14 % Runner terminated.
% 2.05/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------