TSTP Solution File: NUM375+1.020 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM375+1.020 : 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.1NHFns7Z6A true
% Computer : n029.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 12:40:05 EDT 2023
% Result : Unsatisfiable 10.58s 2.17s
% Output : Refutation 10.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 28
% Syntax : Number of formulae : 5589 (3141 unt; 27 typ; 0 def)
% Number of atoms : 9860 (9859 equ; 0 cnn)
% Maximal formula atoms : 757 ( 1 avg)
% Number of connectives : 21409 (1554 ~; 561 |;1762 &;15557 @)
% ( 0 <=>; 0 =>;1975 <=; 0 <~>)
% Maximal formula depth : 720 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 27 usr; 25 con; 0-2 aty)
% Number of variables : 3 ( 0 ^; 0 !; 3 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i ).
thf(n19_type,type,
n19: $i ).
thf(n11_type,type,
n11: $i ).
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(n18_type,type,
n18: $i ).
thf(sum_type,type,
sum: $i > $i > $i ).
thf(n13_type,type,
n13: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(n10_type,type,
n10: $i ).
thf(pred_type,type,
pred: $i > $i ).
thf(n20_type,type,
n20: $i ).
thf(n9_type,type,
n9: $i ).
thf(n6_type,type,
n6: $i ).
thf(n15_type,type,
n15: $i ).
thf(n0_type,type,
n0: $i ).
thf(n8_type,type,
n8: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(n14_type,type,
n14: $i ).
thf(n17_type,type,
n17: $i ).
thf(n12_type,type,
n12: $i ).
thf(n5_type,type,
n5: $i ).
thf(n16_type,type,
n16: $i ).
thf(n1_type,type,
n1: $i ).
thf(n2_type,type,
n2: $i ).
thf(try_satisfy_this,axiom,
? [X: $i,Y: $i,Z: $i] :
( ( n19 != n20 )
& ( n18 != n20 )
& ( n18 != n19 )
& ( n17 != n20 )
& ( n17 != n19 )
& ( n17 != n18 )
& ( n16 != n20 )
& ( n16 != n19 )
& ( n16 != n18 )
& ( n16 != n17 )
& ( n15 != n20 )
& ( n15 != n19 )
& ( n15 != n18 )
& ( n15 != n17 )
& ( n15 != n16 )
& ( n14 != n20 )
& ( n14 != n19 )
& ( n14 != n18 )
& ( n14 != n17 )
& ( n14 != n16 )
& ( n14 != n15 )
& ( n13 != n20 )
& ( n13 != n19 )
& ( n13 != n18 )
& ( n13 != n17 )
& ( n13 != n16 )
& ( n13 != n15 )
& ( n13 != n14 )
& ( n12 != n20 )
& ( n12 != n19 )
& ( n12 != n18 )
& ( n12 != n17 )
& ( n12 != n16 )
& ( n12 != n15 )
& ( n12 != n14 )
& ( n12 != n13 )
& ( n11 != n20 )
& ( n11 != n19 )
& ( n11 != n18 )
& ( n11 != n17 )
& ( n11 != n16 )
& ( n11 != n15 )
& ( n11 != n14 )
& ( n11 != n13 )
& ( n11 != n12 )
& ( n10 != n20 )
& ( n10 != n19 )
& ( n10 != n18 )
& ( n10 != n17 )
& ( n10 != n16 )
& ( n10 != n15 )
& ( n10 != n14 )
& ( n10 != n13 )
& ( n10 != n12 )
& ( n10 != n11 )
& ( n9 != n20 )
& ( n9 != n19 )
& ( n9 != n18 )
& ( n9 != n17 )
& ( n9 != n16 )
& ( n9 != n15 )
& ( n9 != n14 )
& ( n9 != n13 )
& ( n9 != n12 )
& ( n9 != n11 )
& ( n9 != n10 )
& ( n8 != n20 )
& ( n8 != n19 )
& ( n8 != n18 )
& ( n8 != n17 )
& ( n8 != n16 )
& ( n8 != n15 )
& ( n8 != n14 )
& ( n8 != n13 )
& ( n8 != n12 )
& ( n8 != n11 )
& ( n8 != n10 )
& ( n8 != n9 )
& ( n7 != n20 )
& ( n7 != n19 )
& ( n7 != n18 )
& ( n7 != n17 )
& ( n7 != n16 )
& ( n7 != n15 )
& ( n7 != n14 )
& ( n7 != n13 )
& ( n7 != n12 )
& ( n7 != n11 )
& ( n7 != n10 )
& ( n7 != n9 )
& ( n7 != n8 )
& ( n6 != n20 )
& ( n6 != n19 )
& ( n6 != n18 )
& ( n6 != n17 )
& ( n6 != n16 )
& ( n6 != n15 )
& ( n6 != n14 )
& ( n6 != n13 )
& ( n6 != n12 )
& ( n6 != n11 )
& ( n6 != n10 )
& ( n6 != n9 )
& ( n6 != n8 )
& ( n6 != n7 )
& ( n5 != n20 )
& ( n5 != n19 )
& ( n5 != n18 )
& ( n5 != n17 )
& ( n5 != n16 )
& ( n5 != n15 )
& ( n5 != n14 )
& ( n5 != n13 )
& ( n5 != n12 )
& ( n5 != n11 )
& ( n5 != n10 )
& ( n5 != n9 )
& ( n5 != n8 )
& ( n5 != n7 )
& ( n5 != n6 )
& ( n4 != n20 )
& ( n4 != n19 )
& ( n4 != n18 )
& ( n4 != n17 )
& ( n4 != n16 )
& ( n4 != n15 )
& ( n4 != n14 )
& ( n4 != n13 )
& ( n4 != n12 )
& ( n4 != n11 )
& ( n4 != n10 )
& ( n4 != n9 )
& ( n4 != n8 )
& ( n4 != n7 )
& ( n4 != n6 )
& ( n4 != n5 )
& ( n3 != n20 )
& ( n3 != n19 )
& ( n3 != n18 )
& ( n3 != n17 )
& ( n3 != n16 )
& ( n3 != n15 )
& ( n3 != n14 )
& ( n3 != n13 )
& ( n3 != n12 )
& ( n3 != n11 )
& ( n3 != n10 )
& ( n3 != n9 )
& ( n3 != n8 )
& ( n3 != n7 )
& ( n3 != n6 )
& ( n3 != n5 )
& ( n3 != n4 )
& ( n2 != n20 )
& ( n2 != n19 )
& ( n2 != n18 )
& ( n2 != n17 )
& ( n2 != n16 )
& ( n2 != n15 )
& ( n2 != n14 )
& ( n2 != n13 )
& ( n2 != n12 )
& ( n2 != n11 )
& ( n2 != n10 )
& ( n2 != n9 )
& ( n2 != n8 )
& ( n2 != n7 )
& ( n2 != n6 )
& ( n2 != n5 )
& ( n2 != n4 )
& ( n2 != n3 )
& ( n1 != n20 )
& ( n1 != n19 )
& ( n1 != n18 )
& ( n1 != n17 )
& ( n1 != n16 )
& ( n1 != n15 )
& ( n1 != n14 )
& ( n1 != n13 )
& ( n1 != n12 )
& ( n1 != n11 )
& ( n1 != n10 )
& ( n1 != n9 )
& ( n1 != n8 )
& ( n1 != n7 )
& ( n1 != n6 )
& ( n1 != n5 )
& ( n1 != n4 )
& ( n1 != n3 )
& ( n1 != n2 )
& ( n0 != n20 )
& ( n0 != n19 )
& ( n0 != n18 )
& ( n0 != n17 )
& ( n0 != n16 )
& ( n0 != n15 )
& ( n0 != n14 )
& ( n0 != n13 )
& ( n0 != n12 )
& ( n0 != n11 )
& ( n0 != n10 )
& ( n0 != n9 )
& ( n0 != n8 )
& ( n0 != n7 )
& ( n0 != n6 )
& ( n0 != n5 )
& ( n0 != n4 )
& ( n0 != n3 )
& ( n0 != n2 )
& ( n0 != n1 )
& ( Z != n20 )
& ( Z != n19 )
& ( Z != n18 )
& ( Z != n17 )
& ( Z != n16 )
& ( Z != n15 )
& ( Z != n14 )
& ( Z != n13 )
& ( Z != n12 )
& ( Z != n11 )
& ( 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 = n20 )
| ( Y = n19 )
| ( Y = n18 )
| ( Y = n17 )
| ( Y = n16 )
| ( Y = n15 )
| ( Y = n14 )
| ( Y = n13 )
| ( Y = n12 )
| ( Y = n11 )
| ( Y = n10 )
| ( Y = n9 )
| ( Y = n8 )
| ( Y = n7 )
| ( Y = n6 )
| ( Y = n5 )
| ( Y = n4 )
| ( Y = n3 )
| ( Y = n2 )
| ( Y = n1 )
| ( Y = n0 ) )
& ( ( X = n20 )
| ( X = n19 )
| ( X = n18 )
| ( X = n17 )
| ( X = n16 )
| ( X = n15 )
| ( X = n14 )
| ( X = n13 )
| ( X = n12 )
| ( X = n11 )
| ( X = n10 )
| ( X = n9 )
| ( X = n8 )
| ( X = n7 )
| ( X = n6 )
| ( X = n5 )
| ( X = n4 )
| ( X = n3 )
| ( X = n2 )
| ( X = n1 )
| ( X = n0 ) )
& ( ( sum @ n20 @ n20 )
= n19 )
& ( ( sum @ n20 @ n19 )
= n18 )
& ( ( sum @ n20 @ n18 )
= n17 )
& ( ( sum @ n20 @ n17 )
= n16 )
& ( ( sum @ n20 @ n16 )
= n15 )
& ( ( sum @ n20 @ n15 )
= n14 )
& ( ( sum @ n20 @ n14 )
= n13 )
& ( ( sum @ n20 @ n13 )
= n12 )
& ( ( sum @ n20 @ n12 )
= n11 )
& ( ( sum @ n20 @ n11 )
= n10 )
& ( ( sum @ n20 @ n10 )
= n9 )
& ( ( sum @ n20 @ n9 )
= n8 )
& ( ( sum @ n20 @ n8 )
= n7 )
& ( ( sum @ n20 @ n7 )
= n6 )
& ( ( sum @ n20 @ n6 )
= n5 )
& ( ( sum @ n20 @ n5 )
= n4 )
& ( ( sum @ n20 @ n4 )
= n3 )
& ( ( sum @ n20 @ n3 )
= n2 )
& ( ( sum @ n20 @ n2 )
= n1 )
& ( ( sum @ n20 @ n1 )
= n0 )
& ( ( sum @ n20 @ n0 )
= n20 )
& ( ( sum @ n19 @ n20 )
= n18 )
& ( ( sum @ n19 @ n19 )
= n17 )
& ( ( sum @ n19 @ n18 )
= n16 )
& ( ( sum @ n19 @ n17 )
= n15 )
& ( ( sum @ n19 @ n16 )
= n14 )
& ( ( sum @ n19 @ n15 )
= n13 )
& ( ( sum @ n19 @ n14 )
= n12 )
& ( ( sum @ n19 @ n13 )
= n11 )
& ( ( sum @ n19 @ n12 )
= n10 )
& ( ( sum @ n19 @ n11 )
= n9 )
& ( ( sum @ n19 @ n10 )
= n8 )
& ( ( sum @ n19 @ n9 )
= n7 )
& ( ( sum @ n19 @ n8 )
= n6 )
& ( ( sum @ n19 @ n7 )
= n5 )
& ( ( sum @ n19 @ n6 )
= n4 )
& ( ( sum @ n19 @ n5 )
= n3 )
& ( ( sum @ n19 @ n4 )
= n2 )
& ( ( sum @ n19 @ n3 )
= n1 )
& ( ( sum @ n19 @ n2 )
= n0 )
& ( ( sum @ n19 @ n1 )
= n20 )
& ( ( sum @ n19 @ n0 )
= n19 )
& ( ( sum @ n18 @ n20 )
= n17 )
& ( ( sum @ n18 @ n19 )
= n16 )
& ( ( sum @ n18 @ n18 )
= n15 )
& ( ( sum @ n18 @ n17 )
= n14 )
& ( ( sum @ n18 @ n16 )
= n13 )
& ( ( sum @ n18 @ n15 )
= n12 )
& ( ( sum @ n18 @ n14 )
= n11 )
& ( ( sum @ n18 @ n13 )
= n10 )
& ( ( sum @ n18 @ n12 )
= n9 )
& ( ( sum @ n18 @ n11 )
= n8 )
& ( ( sum @ n18 @ n10 )
= n7 )
& ( ( sum @ n18 @ n9 )
= n6 )
& ( ( sum @ n18 @ n8 )
= n5 )
& ( ( sum @ n18 @ n7 )
= n4 )
& ( ( sum @ n18 @ n6 )
= n3 )
& ( ( sum @ n18 @ n5 )
= n2 )
& ( ( sum @ n18 @ n4 )
= n1 )
& ( ( sum @ n18 @ n3 )
= n0 )
& ( ( sum @ n18 @ n2 )
= n20 )
& ( ( sum @ n18 @ n1 )
= n19 )
& ( ( sum @ n18 @ n0 )
= n18 )
& ( ( sum @ n17 @ n20 )
= n16 )
& ( ( sum @ n17 @ n19 )
= n15 )
& ( ( sum @ n17 @ n18 )
= n14 )
& ( ( sum @ n17 @ n17 )
= n13 )
& ( ( sum @ n17 @ n16 )
= n12 )
& ( ( sum @ n17 @ n15 )
= n11 )
& ( ( sum @ n17 @ n14 )
= n10 )
& ( ( sum @ n17 @ n13 )
= n9 )
& ( ( sum @ n17 @ n12 )
= n8 )
& ( ( sum @ n17 @ n11 )
= n7 )
& ( ( sum @ n17 @ n10 )
= n6 )
& ( ( sum @ n17 @ n9 )
= n5 )
& ( ( sum @ n17 @ n8 )
= n4 )
& ( ( sum @ n17 @ n7 )
= n3 )
& ( ( sum @ n17 @ n6 )
= n2 )
& ( ( sum @ n17 @ n5 )
= n1 )
& ( ( sum @ n17 @ n4 )
= n0 )
& ( ( sum @ n17 @ n3 )
= n20 )
& ( ( sum @ n17 @ n2 )
= n19 )
& ( ( sum @ n17 @ n1 )
= n18 )
& ( ( sum @ n17 @ n0 )
= n17 )
& ( ( sum @ n16 @ n20 )
= n15 )
& ( ( sum @ n16 @ n19 )
= n14 )
& ( ( sum @ n16 @ n18 )
= n13 )
& ( ( sum @ n16 @ n17 )
= n12 )
& ( ( sum @ n16 @ n16 )
= n11 )
& ( ( sum @ n16 @ n15 )
= n10 )
& ( ( sum @ n16 @ n14 )
= n9 )
& ( ( sum @ n16 @ n13 )
= n8 )
& ( ( sum @ n16 @ n12 )
= n7 )
& ( ( sum @ n16 @ n11 )
= n6 )
& ( ( sum @ n16 @ n10 )
= n5 )
& ( ( sum @ n16 @ n9 )
= n4 )
& ( ( sum @ n16 @ n8 )
= n3 )
& ( ( sum @ n16 @ n7 )
= n2 )
& ( ( sum @ n16 @ n6 )
= n1 )
& ( ( sum @ n16 @ n5 )
= n0 )
& ( ( sum @ n16 @ n4 )
= n20 )
& ( ( sum @ n16 @ n3 )
= n19 )
& ( ( sum @ n16 @ n2 )
= n18 )
& ( ( sum @ n16 @ n1 )
= n17 )
& ( ( sum @ n16 @ n0 )
= n16 )
& ( ( sum @ n15 @ n20 )
= n14 )
& ( ( sum @ n15 @ n19 )
= n13 )
& ( ( sum @ n15 @ n18 )
= n12 )
& ( ( sum @ n15 @ n17 )
= n11 )
& ( ( sum @ n15 @ n16 )
= n10 )
& ( ( sum @ n15 @ n15 )
= n9 )
& ( ( sum @ n15 @ n14 )
= n8 )
& ( ( sum @ n15 @ n13 )
= n7 )
& ( ( sum @ n15 @ n12 )
= n6 )
& ( ( sum @ n15 @ n11 )
= n5 )
& ( ( sum @ n15 @ n10 )
= n4 )
& ( ( sum @ n15 @ n9 )
= n3 )
& ( ( sum @ n15 @ n8 )
= n2 )
& ( ( sum @ n15 @ n7 )
= n1 )
& ( ( sum @ n15 @ n6 )
= n0 )
& ( ( sum @ n15 @ n5 )
= n20 )
& ( ( sum @ n15 @ n4 )
= n19 )
& ( ( sum @ n15 @ n3 )
= n18 )
& ( ( sum @ n15 @ n2 )
= n17 )
& ( ( sum @ n15 @ n1 )
= n16 )
& ( ( sum @ n15 @ n0 )
= n15 )
& ( ( sum @ n14 @ n20 )
= n13 )
& ( ( sum @ n14 @ n19 )
= n12 )
& ( ( sum @ n14 @ n18 )
= n11 )
& ( ( sum @ n14 @ n17 )
= n10 )
& ( ( sum @ n14 @ n16 )
= n9 )
& ( ( sum @ n14 @ n15 )
= n8 )
& ( ( sum @ n14 @ n14 )
= n7 )
& ( ( sum @ n14 @ n13 )
= n6 )
& ( ( sum @ n14 @ n12 )
= n5 )
& ( ( sum @ n14 @ n11 )
= n4 )
& ( ( sum @ n14 @ n10 )
= n3 )
& ( ( sum @ n14 @ n9 )
= n2 )
& ( ( sum @ n14 @ n8 )
= n1 )
& ( ( sum @ n14 @ n7 )
= n0 )
& ( ( sum @ n14 @ n6 )
= n20 )
& ( ( sum @ n14 @ n5 )
= n19 )
& ( ( sum @ n14 @ n4 )
= n18 )
& ( ( sum @ n14 @ n3 )
= n17 )
& ( ( sum @ n14 @ n2 )
= n16 )
& ( ( sum @ n14 @ n1 )
= n15 )
& ( ( sum @ n14 @ n0 )
= n14 )
& ( ( sum @ n13 @ n20 )
= n12 )
& ( ( sum @ n13 @ n19 )
= n11 )
& ( ( sum @ n13 @ n18 )
= n10 )
& ( ( sum @ n13 @ n17 )
= n9 )
& ( ( sum @ n13 @ n16 )
= n8 )
& ( ( sum @ n13 @ n15 )
= n7 )
& ( ( sum @ n13 @ n14 )
= n6 )
& ( ( sum @ n13 @ n13 )
= n5 )
& ( ( sum @ n13 @ n12 )
= n4 )
& ( ( sum @ n13 @ n11 )
= n3 )
& ( ( sum @ n13 @ n10 )
= n2 )
& ( ( sum @ n13 @ n9 )
= n1 )
& ( ( sum @ n13 @ n8 )
= n0 )
& ( ( sum @ n13 @ n7 )
= n20 )
& ( ( sum @ n13 @ n6 )
= n19 )
& ( ( sum @ n13 @ n5 )
= n18 )
& ( ( sum @ n13 @ n4 )
= n17 )
& ( ( sum @ n13 @ n3 )
= n16 )
& ( ( sum @ n13 @ n2 )
= n15 )
& ( ( sum @ n13 @ n1 )
= n14 )
& ( ( sum @ n13 @ n0 )
= n13 )
& ( ( sum @ n12 @ n20 )
= n11 )
& ( ( sum @ n12 @ n19 )
= n10 )
& ( ( sum @ n12 @ n18 )
= n9 )
& ( ( sum @ n12 @ n17 )
= n8 )
& ( ( sum @ n12 @ n16 )
= n7 )
& ( ( sum @ n12 @ n15 )
= n6 )
& ( ( sum @ n12 @ n14 )
= n5 )
& ( ( sum @ n12 @ n13 )
= n4 )
& ( ( sum @ n12 @ n12 )
= n3 )
& ( ( sum @ n12 @ n11 )
= n2 )
& ( ( sum @ n12 @ n10 )
= n1 )
& ( ( sum @ n12 @ n9 )
= n0 )
& ( ( sum @ n12 @ n8 )
= n20 )
& ( ( sum @ n12 @ n7 )
= n19 )
& ( ( sum @ n12 @ n6 )
= n18 )
& ( ( sum @ n12 @ n5 )
= n17 )
& ( ( sum @ n12 @ n4 )
= n16 )
& ( ( sum @ n12 @ n3 )
= n15 )
& ( ( sum @ n12 @ n2 )
= n14 )
& ( ( sum @ n12 @ n1 )
= n13 )
& ( ( sum @ n12 @ n0 )
= n12 )
& ( ( sum @ n11 @ n20 )
= n10 )
& ( ( sum @ n11 @ n19 )
= n9 )
& ( ( sum @ n11 @ n18 )
= n8 )
& ( ( sum @ n11 @ n17 )
= n7 )
& ( ( sum @ n11 @ n16 )
= n6 )
& ( ( sum @ n11 @ n15 )
= n5 )
& ( ( sum @ n11 @ n14 )
= n4 )
& ( ( sum @ n11 @ n13 )
= n3 )
& ( ( sum @ n11 @ n12 )
= n2 )
& ( ( sum @ n11 @ n11 )
= n1 )
& ( ( sum @ n11 @ n10 )
= n0 )
& ( ( sum @ n11 @ n9 )
= n20 )
& ( ( sum @ n11 @ n8 )
= n19 )
& ( ( sum @ n11 @ n7 )
= n18 )
& ( ( sum @ n11 @ n6 )
= n17 )
& ( ( sum @ n11 @ n5 )
= n16 )
& ( ( sum @ n11 @ n4 )
= n15 )
& ( ( sum @ n11 @ n3 )
= n14 )
& ( ( sum @ n11 @ n2 )
= n13 )
& ( ( sum @ n11 @ n1 )
= n12 )
& ( ( sum @ n11 @ n0 )
= n11 )
& ( ( sum @ n10 @ n20 )
= n9 )
& ( ( sum @ n10 @ n19 )
= n8 )
& ( ( sum @ n10 @ n18 )
= n7 )
& ( ( sum @ n10 @ n17 )
= n6 )
& ( ( sum @ n10 @ n16 )
= n5 )
& ( ( sum @ n10 @ n15 )
= n4 )
& ( ( sum @ n10 @ n14 )
= n3 )
& ( ( sum @ n10 @ n13 )
= n2 )
& ( ( sum @ n10 @ n12 )
= n1 )
& ( ( sum @ n10 @ n11 )
= n0 )
& ( ( sum @ n10 @ n10 )
= n20 )
& ( ( sum @ n10 @ n9 )
= n19 )
& ( ( sum @ n10 @ n8 )
= n18 )
& ( ( sum @ n10 @ n7 )
= n17 )
& ( ( sum @ n10 @ n6 )
= n16 )
& ( ( sum @ n10 @ n5 )
= n15 )
& ( ( sum @ n10 @ n4 )
= n14 )
& ( ( sum @ n10 @ n3 )
= n13 )
& ( ( sum @ n10 @ n2 )
= n12 )
& ( ( sum @ n10 @ n1 )
= n11 )
& ( ( sum @ n10 @ n0 )
= n10 )
& ( ( sum @ n9 @ n20 )
= n8 )
& ( ( sum @ n9 @ n19 )
= n7 )
& ( ( sum @ n9 @ n18 )
= n6 )
& ( ( sum @ n9 @ n17 )
= n5 )
& ( ( sum @ n9 @ n16 )
= n4 )
& ( ( sum @ n9 @ n15 )
= n3 )
& ( ( sum @ n9 @ n14 )
= n2 )
& ( ( sum @ n9 @ n13 )
= n1 )
& ( ( sum @ n9 @ n12 )
= n0 )
& ( ( sum @ n9 @ n11 )
= n20 )
& ( ( sum @ n9 @ n10 )
= n19 )
& ( ( sum @ n9 @ n9 )
= n18 )
& ( ( sum @ n9 @ n8 )
= n17 )
& ( ( sum @ n9 @ n7 )
= n16 )
& ( ( sum @ n9 @ n6 )
= n15 )
& ( ( sum @ n9 @ n5 )
= n14 )
& ( ( sum @ n9 @ n4 )
= n13 )
& ( ( sum @ n9 @ n3 )
= n12 )
& ( ( sum @ n9 @ n2 )
= n11 )
& ( ( sum @ n9 @ n1 )
= n10 )
& ( ( sum @ n9 @ n0 )
= n9 )
& ( ( sum @ n8 @ n20 )
= n7 )
& ( ( sum @ n8 @ n19 )
= n6 )
& ( ( sum @ n8 @ n18 )
= n5 )
& ( ( sum @ n8 @ n17 )
= n4 )
& ( ( sum @ n8 @ n16 )
= n3 )
& ( ( sum @ n8 @ n15 )
= n2 )
& ( ( sum @ n8 @ n14 )
= n1 )
& ( ( sum @ n8 @ n13 )
= n0 )
& ( ( sum @ n8 @ n12 )
= n20 )
& ( ( sum @ n8 @ n11 )
= n19 )
& ( ( sum @ n8 @ n10 )
= n18 )
& ( ( sum @ n8 @ n9 )
= n17 )
& ( ( sum @ n8 @ n8 )
= n16 )
& ( ( sum @ n8 @ n7 )
= n15 )
& ( ( sum @ n8 @ n6 )
= n14 )
& ( ( sum @ n8 @ n5 )
= n13 )
& ( ( sum @ n8 @ n4 )
= n12 )
& ( ( sum @ n8 @ n3 )
= n11 )
& ( ( sum @ n8 @ n2 )
= n10 )
& ( ( sum @ n8 @ n1 )
= n9 )
& ( ( sum @ n8 @ n0 )
= n8 )
& ( ( sum @ n7 @ n20 )
= n6 )
& ( ( sum @ n7 @ n19 )
= n5 )
& ( ( sum @ n7 @ n18 )
= n4 )
& ( ( sum @ n7 @ n17 )
= n3 )
& ( ( sum @ n7 @ n16 )
= n2 )
& ( ( sum @ n7 @ n15 )
= n1 )
& ( ( sum @ n7 @ n14 )
= n0 )
& ( ( sum @ n7 @ n13 )
= n20 )
& ( ( sum @ n7 @ n12 )
= n19 )
& ( ( sum @ n7 @ n11 )
= n18 )
& ( ( sum @ n7 @ n10 )
= n17 )
& ( ( sum @ n7 @ n9 )
= n16 )
& ( ( sum @ n7 @ n8 )
= n15 )
& ( ( sum @ n7 @ n7 )
= n14 )
& ( ( sum @ n7 @ n6 )
= n13 )
& ( ( sum @ n7 @ n5 )
= n12 )
& ( ( sum @ n7 @ n4 )
= n11 )
& ( ( sum @ n7 @ n3 )
= n10 )
& ( ( sum @ n7 @ n2 )
= n9 )
& ( ( sum @ n7 @ n1 )
= n8 )
& ( ( sum @ n7 @ n0 )
= n7 )
& ( ( sum @ n6 @ n20 )
= n5 )
& ( ( sum @ n6 @ n19 )
= n4 )
& ( ( sum @ n6 @ n18 )
= n3 )
& ( ( sum @ n6 @ n17 )
= n2 )
& ( ( sum @ n6 @ n16 )
= n1 )
& ( ( sum @ n6 @ n15 )
= n0 )
& ( ( sum @ n6 @ n14 )
= n20 )
& ( ( sum @ n6 @ n13 )
= n19 )
& ( ( sum @ n6 @ n12 )
= n18 )
& ( ( sum @ n6 @ n11 )
= n17 )
& ( ( sum @ n6 @ n10 )
= n16 )
& ( ( sum @ n6 @ n9 )
= n15 )
& ( ( sum @ n6 @ n8 )
= n14 )
& ( ( sum @ n6 @ n7 )
= n13 )
& ( ( sum @ n6 @ n6 )
= n12 )
& ( ( sum @ n6 @ n5 )
= n11 )
& ( ( sum @ n6 @ n4 )
= n10 )
& ( ( sum @ n6 @ n3 )
= n9 )
& ( ( sum @ n6 @ n2 )
= n8 )
& ( ( sum @ n6 @ n1 )
= n7 )
& ( ( sum @ n6 @ n0 )
= n6 )
& ( ( sum @ n5 @ n20 )
= n4 )
& ( ( sum @ n5 @ n19 )
= n3 )
& ( ( sum @ n5 @ n18 )
= n2 )
& ( ( sum @ n5 @ n17 )
= n1 )
& ( ( sum @ n5 @ n16 )
= n0 )
& ( ( sum @ n5 @ n15 )
= n20 )
& ( ( sum @ n5 @ n14 )
= n19 )
& ( ( sum @ n5 @ n13 )
= n18 )
& ( ( sum @ n5 @ n12 )
= n17 )
& ( ( sum @ n5 @ n11 )
= n16 )
& ( ( sum @ n5 @ n10 )
= n15 )
& ( ( sum @ n5 @ n9 )
= n14 )
& ( ( sum @ n5 @ n8 )
= n13 )
& ( ( sum @ n5 @ n7 )
= n12 )
& ( ( sum @ n5 @ n6 )
= n11 )
& ( ( sum @ n5 @ n5 )
= n10 )
& ( ( sum @ n5 @ n4 )
= n9 )
& ( ( sum @ n5 @ n3 )
= n8 )
& ( ( sum @ n5 @ n2 )
= n7 )
& ( ( sum @ n5 @ n1 )
= n6 )
& ( ( sum @ n5 @ n0 )
= n5 )
& ( ( sum @ n4 @ n20 )
= n3 )
& ( ( sum @ n4 @ n19 )
= n2 )
& ( ( sum @ n4 @ n18 )
= n1 )
& ( ( sum @ n4 @ n17 )
= n0 )
& ( ( sum @ n4 @ n16 )
= n20 )
& ( ( sum @ n4 @ n15 )
= n19 )
& ( ( sum @ n4 @ n14 )
= n18 )
& ( ( sum @ n4 @ n13 )
= n17 )
& ( ( sum @ n4 @ n12 )
= n16 )
& ( ( sum @ n4 @ n11 )
= n15 )
& ( ( sum @ n4 @ n10 )
= n14 )
& ( ( sum @ n4 @ n9 )
= n13 )
& ( ( sum @ n4 @ n8 )
= n12 )
& ( ( sum @ n4 @ n7 )
= n11 )
& ( ( sum @ n4 @ n6 )
= n10 )
& ( ( sum @ n4 @ n5 )
= n9 )
& ( ( sum @ n4 @ n4 )
= n8 )
& ( ( sum @ n4 @ n3 )
= n7 )
& ( ( sum @ n4 @ n2 )
= n6 )
& ( ( sum @ n4 @ n1 )
= n5 )
& ( ( sum @ n4 @ n0 )
= n4 )
& ( ( sum @ n3 @ n20 )
= n2 )
& ( ( sum @ n3 @ n19 )
= n1 )
& ( ( sum @ n3 @ n18 )
= n0 )
& ( ( sum @ n3 @ n17 )
= n20 )
& ( ( sum @ n3 @ n16 )
= n19 )
& ( ( sum @ n3 @ n15 )
= n18 )
& ( ( sum @ n3 @ n14 )
= n17 )
& ( ( sum @ n3 @ n13 )
= n16 )
& ( ( sum @ n3 @ n12 )
= n15 )
& ( ( sum @ n3 @ n11 )
= n14 )
& ( ( sum @ n3 @ n10 )
= n13 )
& ( ( sum @ n3 @ n9 )
= n12 )
& ( ( sum @ n3 @ n8 )
= n11 )
& ( ( sum @ n3 @ n7 )
= n10 )
& ( ( sum @ n3 @ n6 )
= n9 )
& ( ( sum @ n3 @ n5 )
= n8 )
& ( ( sum @ n3 @ n4 )
= n7 )
& ( ( sum @ n3 @ n3 )
= n6 )
& ( ( sum @ n3 @ n2 )
= n5 )
& ( ( sum @ n3 @ n1 )
= n4 )
& ( ( sum @ n3 @ n0 )
= n3 )
& ( ( sum @ n2 @ n20 )
= n1 )
& ( ( sum @ n2 @ n19 )
= n0 )
& ( ( sum @ n2 @ n18 )
= n20 )
& ( ( sum @ n2 @ n17 )
= n19 )
& ( ( sum @ n2 @ n16 )
= n18 )
& ( ( sum @ n2 @ n15 )
= n17 )
& ( ( sum @ n2 @ n14 )
= n16 )
& ( ( sum @ n2 @ n13 )
= n15 )
& ( ( sum @ n2 @ n12 )
= n14 )
& ( ( sum @ n2 @ n11 )
= n13 )
& ( ( sum @ n2 @ n10 )
= n12 )
& ( ( sum @ n2 @ n9 )
= n11 )
& ( ( sum @ n2 @ n8 )
= n10 )
& ( ( sum @ n2 @ n7 )
= n9 )
& ( ( sum @ n2 @ n6 )
= n8 )
& ( ( sum @ n2 @ n5 )
= n7 )
& ( ( sum @ n2 @ n4 )
= n6 )
& ( ( sum @ n2 @ n3 )
= n5 )
& ( ( sum @ n2 @ n2 )
= n4 )
& ( ( sum @ n2 @ n1 )
= n3 )
& ( ( sum @ n2 @ n0 )
= n2 )
& ( ( sum @ n1 @ n20 )
= n0 )
& ( ( sum @ n1 @ n19 )
= n20 )
& ( ( sum @ n1 @ n18 )
= n19 )
& ( ( sum @ n1 @ n17 )
= n18 )
& ( ( sum @ n1 @ n16 )
= n17 )
& ( ( sum @ n1 @ n15 )
= n16 )
& ( ( sum @ n1 @ n14 )
= n15 )
& ( ( sum @ n1 @ n13 )
= n14 )
& ( ( sum @ n1 @ n12 )
= n13 )
& ( ( sum @ n1 @ n11 )
= n12 )
& ( ( sum @ n1 @ n10 )
= n11 )
& ( ( sum @ n1 @ n9 )
= n10 )
& ( ( sum @ n1 @ n8 )
= n9 )
& ( ( sum @ n1 @ n7 )
= n8 )
& ( ( sum @ n1 @ n6 )
= n7 )
& ( ( sum @ n1 @ n5 )
= n6 )
& ( ( sum @ n1 @ n4 )
= n5 )
& ( ( sum @ n1 @ n3 )
= n4 )
& ( ( sum @ n1 @ n2 )
= n3 )
& ( ( sum @ n1 @ n1 )
= n2 )
& ( ( sum @ n1 @ n0 )
= n1 )
& ( ( sum @ n0 @ n20 )
= n20 )
& ( ( sum @ n0 @ n19 )
= n19 )
& ( ( sum @ n0 @ n18 )
= n18 )
& ( ( sum @ n0 @ n17 )
= n17 )
& ( ( sum @ n0 @ n16 )
= n16 )
& ( ( sum @ n0 @ n15 )
= n15 )
& ( ( sum @ n0 @ n14 )
= n14 )
& ( ( sum @ n0 @ n13 )
= n13 )
& ( ( sum @ n0 @ n12 )
= n12 )
& ( ( sum @ n0 @ n11 )
= n11 )
& ( ( sum @ n0 @ n10 )
= n10 )
& ( ( sum @ n0 @ n9 )
= n9 )
& ( ( sum @ n0 @ n8 )
= n8 )
& ( ( sum @ n0 @ n7 )
= n7 )
& ( ( sum @ n0 @ n6 )
= n6 )
& ( ( sum @ n0 @ n5 )
= n5 )
& ( ( sum @ n0 @ n4 )
= n4 )
& ( ( sum @ n0 @ n3 )
= n3 )
& ( ( sum @ n0 @ n2 )
= n2 )
& ( ( sum @ n0 @ n1 )
= n1 )
& ( ( sum @ n0 @ n0 )
= n0 )
& ( ( pred @ n20 )
= n19 )
& ( ( pred @ n19 )
= n18 )
& ( ( pred @ n18 )
= n17 )
& ( ( pred @ n17 )
= n16 )
& ( ( pred @ n16 )
= n15 )
& ( ( pred @ n15 )
= n14 )
& ( ( pred @ n14 )
= n13 )
& ( ( pred @ n13 )
= n12 )
& ( ( pred @ n12 )
= n11 )
& ( ( pred @ n11 )
= n10 )
& ( ( pred @ n10 )
= n9 )
& ( ( pred @ n9 )
= n8 )
& ( ( pred @ n8 )
= n7 )
& ( ( pred @ n7 )
= n6 )
& ( ( pred @ n6 )
= n5 )
& ( ( pred @ n5 )
= n4 )
& ( ( pred @ n4 )
= n3 )
& ( ( pred @ n3 )
= n2 )
& ( ( pred @ n2 )
= n1 )
& ( ( pred @ n1 )
= n0 )
& ( ( pred @ n0 )
= n20 )
& ( ( succ @ n20 )
= n0 )
& ( ( succ @ n19 )
= n20 )
& ( ( succ @ n18 )
= n19 )
& ( ( succ @ n17 )
= n18 )
& ( ( succ @ n16 )
= n17 )
& ( ( succ @ n15 )
= n16 )
& ( ( succ @ n14 )
= n15 )
& ( ( succ @ n13 )
= n14 )
& ( ( succ @ n12 )
= n13 )
& ( ( succ @ n11 )
= n12 )
& ( ( succ @ n10 )
= n11 )
& ( ( succ @ n9 )
= n10 )
& ( ( succ @ n8 )
= n9 )
& ( ( succ @ n7 )
= n8 )
& ( ( succ @ n6 )
= n7 )
& ( ( succ @ n5 )
= n6 )
& ( ( succ @ n4 )
= n5 )
& ( ( succ @ n3 )
= n4 )
& ( ( succ @ n2 )
= n3 )
& ( ( succ @ n1 )
= n2 )
& ( ( succ @ n0 )
= n1 ) ) ).
thf(zip_derived_cl505,plain,
( ( sk_ = n20 )
| ( sk_ = n19 )
| ( sk_ = n18 )
| ( sk_ = n17 )
| ( sk_ = n16 )
| ( sk_ = n15 )
| ( sk_ = n14 )
| ( sk_ = n13 )
| ( sk_ = n12 )
| ( sk_ = n11 )
| ( sk_ = n10 )
| ( sk_ = n9 )
| ( sk_ = n8 )
| ( sk_ = n7 )
| ( sk_ = n6 )
| ( sk_ = n5 )
| ( sk_ = n4 )
| ( sk_ = n3 )
| ( sk_ = n2 )
| ( sk_ = n1 )
| ( sk_ = n0 ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl506,plain,
( ( sk__1 = n20 )
| ( sk__1 = n19 )
| ( sk__1 = n18 )
| ( sk__1 = n17 )
| ( sk__1 = n16 )
| ( sk__1 = n15 )
| ( sk__1 = n14 )
| ( sk__1 = n13 )
| ( sk__1 = n12 )
| ( sk__1 = n11 )
| ( sk__1 = n10 )
| ( sk__1 = n9 )
| ( sk__1 = n8 )
| ( sk__1 = n7 )
| ( sk__1 = n6 )
| ( sk__1 = n5 )
| ( sk__1 = n4 )
| ( sk__1 = n3 )
| ( sk__1 = n2 )
| ( sk__1 = n1 )
| ( sk__1 = n0 ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl756,plain,
( ( sk__1 = n18 )
<= ( sk__1 = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21,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_cl1253,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n18 ) ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl756,zip_derived_cl21]) ).
thf(zip_derived_cl40,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4537,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4542,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n4 @ n18 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl721,zip_derived_cl4537]) ).
thf(zip_derived_cl167,plain,
( ( sum @ n4 @ n19 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166,plain,
( ( sum @ n4 @ n18 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103,plain,
( ( sum @ n1 @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9563,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n4 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4542,zip_derived_cl167,zip_derived_cl45,zip_derived_cl166,zip_derived_cl44,zip_derived_cl442,zip_derived_cl103]) ).
thf(zip_derived_cl1,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('0',plain,
( ( sk_ != n4 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9563,zip_derived_cl1]) ).
thf(zip_derived_cl737,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl752,plain,
( ( sk__1 = n14 )
<= ( sk__1 = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21_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_cl1174,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n14 ) ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl752,zip_derived_cl21]) ).
thf(zip_derived_cl36,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4327,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4348,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n20 @ n14 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl4327]) ).
thf(zip_derived_cl499,plain,
( ( sum @ n20 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl498,plain,
( ( sum @ n20 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl370,plain,
( ( sum @ n14 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl342,plain,
( ( sum @ n13 @ n5 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9229,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n20 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4348,zip_derived_cl499,zip_derived_cl57,zip_derived_cl498,zip_derived_cl56,zip_derived_cl370,zip_derived_cl342]) ).
thf(zip_derived_cl2,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('1',plain,
( ( sk__1 != n14 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9229,zip_derived_cl2]) ).
thf(zip_derived_cl736,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4327_002,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4347,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n19 @ n14 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl4327]) ).
thf(zip_derived_cl478,plain,
( ( sum @ n19 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_003,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl477,plain,
( ( sum @ n19 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl369,plain,
( ( sum @ n14 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9227,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n19 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4347,zip_derived_cl478,zip_derived_cl56,zip_derived_cl477,zip_derived_cl55,zip_derived_cl369,zip_derived_cl320]) ).
thf(zip_derived_cl4,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('2',plain,
( ( sk__1 != n14 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9227,zip_derived_cl4]) ).
thf(zip_derived_cl735,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4327_004,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4346,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n18 @ n14 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl4327]) ).
thf(zip_derived_cl457,plain,
( ( sum @ n18 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_005,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl456,plain,
( ( sum @ n18 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl368,plain,
( ( sum @ n14 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl298,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9225,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n18 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4346,zip_derived_cl457,zip_derived_cl55,zip_derived_cl456,zip_derived_cl54,zip_derived_cl368,zip_derived_cl298]) ).
thf(zip_derived_cl6,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('3',plain,
( ( sk__1 != n14 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9225,zip_derived_cl6]) ).
thf(zip_derived_cl734,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4327_006,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4345,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n17 @ n14 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl4327]) ).
thf(zip_derived_cl436,plain,
( ( sum @ n17 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_007,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl435,plain,
( ( sum @ n17 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl367,plain,
( ( sum @ n14 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9223,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n17 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4345,zip_derived_cl436,zip_derived_cl54,zip_derived_cl435,zip_derived_cl53,zip_derived_cl367,zip_derived_cl276]) ).
thf(zip_derived_cl8,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('4',plain,
( ( sk__1 != n14 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9223,zip_derived_cl8]) ).
thf(zip_derived_cl733,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4327_008,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4344,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n16 @ n14 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl4327]) ).
thf(zip_derived_cl415,plain,
( ( sum @ n16 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_009,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl414,plain,
( ( sum @ n16 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl366,plain,
( ( sum @ n14 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl254,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9221,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n16 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4344,zip_derived_cl415,zip_derived_cl53,zip_derived_cl414,zip_derived_cl52,zip_derived_cl366,zip_derived_cl254]) ).
thf(zip_derived_cl10,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('5',plain,
( ( sk__1 != n14 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9221,zip_derived_cl10]) ).
thf(zip_derived_cl732,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4327_010,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4343,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n15 @ n14 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl4327]) ).
thf(zip_derived_cl394,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_011,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl393,plain,
( ( sum @ n15 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl365,plain,
( ( sum @ n14 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9219,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n15 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4343,zip_derived_cl394,zip_derived_cl52,zip_derived_cl393,zip_derived_cl51,zip_derived_cl365,zip_derived_cl232]) ).
thf(zip_derived_cl12,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('6',plain,
( ( sk__1 != n14 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9219,zip_derived_cl12]) ).
thf(zip_derived_cl731,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4327_012,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4342,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n14 @ n14 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl4327]) ).
thf(zip_derived_cl373,plain,
( ( sum @ n14 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_013,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl372,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl364,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl231,plain,
( ( sum @ n7 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9217,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n14 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4342,zip_derived_cl373,zip_derived_cl51,zip_derived_cl372,zip_derived_cl50,zip_derived_cl364,zip_derived_cl231]) ).
thf(zip_derived_cl14,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('7',plain,
( ( sk__1 != n14 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9217,zip_derived_cl14]) ).
thf(zip_derived_cl730,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4327_014,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4341,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n13 @ n14 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl4327]) ).
thf(zip_derived_cl352,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_015,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351,plain,
( ( sum @ n13 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl363,plain,
( ( sum @ n14 @ n5 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl209,plain,
( ( sum @ n6 @ n19 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9213,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n13 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4341,zip_derived_cl352,zip_derived_cl50,zip_derived_cl351,zip_derived_cl49,zip_derived_cl363,zip_derived_cl209]) ).
thf(zip_derived_cl16,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('8',plain,
( ( sk__1 != n14 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9213,zip_derived_cl16]) ).
thf(zip_derived_cl729,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4327_016,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4340,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n12 @ n14 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl4327]) ).
thf(zip_derived_cl331,plain,
( ( sum @ n12 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_017,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl362,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl187,plain,
( ( sum @ n5 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9211,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n12 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4340,zip_derived_cl331,zip_derived_cl49,zip_derived_cl330,zip_derived_cl48,zip_derived_cl362,zip_derived_cl187]) ).
thf(zip_derived_cl18,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('9',plain,
( ( sk__1 != n14 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9211,zip_derived_cl18]) ).
thf(zip_derived_cl728,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4327_018,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4339,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n11 @ n14 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl4327]) ).
thf(zip_derived_cl310,plain,
( ( sum @ n11 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_019,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl309,plain,
( ( sum @ n11 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl361,plain,
( ( sum @ n14 @ n3 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl165,plain,
( ( sum @ n4 @ n17 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9209,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n11 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4339,zip_derived_cl310,zip_derived_cl48,zip_derived_cl309,zip_derived_cl47,zip_derived_cl361,zip_derived_cl165]) ).
thf(zip_derived_cl20,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('10',plain,
( ( sk__1 != n14 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9209,zip_derived_cl20]) ).
thf(zip_derived_cl727,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4327_020,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4338,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n10 @ n14 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl4327]) ).
thf(zip_derived_cl289,plain,
( ( sum @ n10 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_021,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288,plain,
( ( sum @ n10 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl360,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143,plain,
( ( sum @ n3 @ n16 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9207,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n10 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4338,zip_derived_cl289,zip_derived_cl47,zip_derived_cl288,zip_derived_cl46,zip_derived_cl360,zip_derived_cl143]) ).
thf(zip_derived_cl1_022,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('11',plain,
( ( sk__1 != n14 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9207,zip_derived_cl1]) ).
thf(zip_derived_cl726,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4327_023,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4337,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n9 @ n14 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl726,zip_derived_cl4327]) ).
thf(zip_derived_cl268,plain,
( ( sum @ n9 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_024,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl267,plain,
( ( sum @ n9 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_025,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl359,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121,plain,
( ( sum @ n2 @ n15 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9205,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n9 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4337,zip_derived_cl268,zip_derived_cl46,zip_derived_cl267,zip_derived_cl45,zip_derived_cl359,zip_derived_cl121]) ).
thf(zip_derived_cl3,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('12',plain,
( ( sk__1 != n14 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9205,zip_derived_cl3]) ).
thf(zip_derived_cl725,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4327_026,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4336,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n8 @ n14 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl725,zip_derived_cl4327]) ).
thf(zip_derived_cl247,plain,
( ( sum @ n8 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_027,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl246,plain,
( ( sum @ n8 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_028,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl358,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9203,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n8 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4336,zip_derived_cl247,zip_derived_cl45,zip_derived_cl246,zip_derived_cl44,zip_derived_cl358,zip_derived_cl99]) ).
thf(zip_derived_cl5,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('13',plain,
( ( sk__1 != n14 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9203,zip_derived_cl5]) ).
thf(zip_derived_cl724,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4327_029,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4335,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n7 @ n14 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl724,zip_derived_cl4327]) ).
thf(zip_derived_cl226,plain,
( ( sum @ n7 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_030,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl225,plain,
( ( sum @ n7 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378,plain,
( ( sum @ n14 @ n20 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9201,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n7 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4335,zip_derived_cl226,zip_derived_cl44,zip_derived_cl225,zip_derived_cl43,zip_derived_cl378,zip_derived_cl77]) ).
thf(zip_derived_cl7,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('14',plain,
( ( sk__1 != n14 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9201,zip_derived_cl7]) ).
thf(zip_derived_cl723,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4327_031,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4334,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n6 @ n14 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl723,zip_derived_cl4327]) ).
thf(zip_derived_cl205,plain,
( ( sum @ n6 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_032,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl204,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl377,plain,
( ( sum @ n14 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl496,plain,
( ( sum @ n20 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9199,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n6 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4334,zip_derived_cl205,zip_derived_cl43,zip_derived_cl204,zip_derived_cl63,zip_derived_cl377,zip_derived_cl496]) ).
thf(zip_derived_cl9,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('15',plain,
( ( sk__1 != n14 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9199,zip_derived_cl9]) ).
thf(zip_derived_cl722,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4327_033,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4333,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n5 @ n14 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl722,zip_derived_cl4327]) ).
thf(zip_derived_cl184,plain,
( ( sum @ n5 @ n15 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_034,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl183,plain,
( ( sum @ n5 @ n14 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376,plain,
( ( sum @ n14 @ n18 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl474,plain,
( ( sum @ n19 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9197,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n5 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4333,zip_derived_cl184,zip_derived_cl63,zip_derived_cl183,zip_derived_cl62,zip_derived_cl376,zip_derived_cl474]) ).
thf(zip_derived_cl11,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('16',plain,
( ( sk__1 != n14 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9197,zip_derived_cl11]) ).
thf(zip_derived_cl721_035,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4327_036,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4332,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n4 @ n14 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl721,zip_derived_cl4327]) ).
thf(zip_derived_cl163,plain,
( ( sum @ n4 @ n15 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_037,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl375,plain,
( ( sum @ n14 @ n17 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl452,plain,
( ( sum @ n18 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9195,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n4 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4332,zip_derived_cl163,zip_derived_cl62,zip_derived_cl162,zip_derived_cl61,zip_derived_cl375,zip_derived_cl452]) ).
thf(zip_derived_cl13,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('17',plain,
( ( sk_ != n4 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9195,zip_derived_cl13]) ).
thf(zip_derived_cl720,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4327_038,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4331,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n3 @ n14 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl720,zip_derived_cl4327]) ).
thf(zip_derived_cl142,plain,
( ( sum @ n3 @ n15 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_039,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141,plain,
( ( sum @ n3 @ n14 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl430,plain,
( ( sum @ n17 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9191,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n3 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4331,zip_derived_cl142,zip_derived_cl61,zip_derived_cl141,zip_derived_cl60,zip_derived_cl374,zip_derived_cl430]) ).
thf(zip_derived_cl15,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('18',plain,
( ( sk__1 != n14 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9191,zip_derived_cl15]) ).
thf(zip_derived_cl719,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4327_040,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4330,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n2 @ n14 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl719,zip_derived_cl4327]) ).
thf(zip_derived_cl121_041,plain,
( ( sum @ n2 @ n15 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_042,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl373_043,plain,
( ( sum @ n14 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl408,plain,
( ( sum @ n16 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9189,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n2 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4330,zip_derived_cl121,zip_derived_cl60,zip_derived_cl120,zip_derived_cl59,zip_derived_cl373,zip_derived_cl408]) ).
thf(zip_derived_cl17,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('19',plain,
( ( sk__1 != n14 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9189,zip_derived_cl17]) ).
thf(zip_derived_cl718,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4327_044,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4329,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n1 @ n14 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl718,zip_derived_cl4327]) ).
thf(zip_derived_cl100,plain,
( ( sum @ n1 @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_045,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99_046,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl372_047,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386,plain,
( ( sum @ n15 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9187,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n1 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4329,zip_derived_cl100,zip_derived_cl59,zip_derived_cl99,zip_derived_cl58,zip_derived_cl372,zip_derived_cl386]) ).
thf(zip_derived_cl19,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('20',plain,
( ( sk__1 != n14 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9187,zip_derived_cl19]) ).
thf(zip_derived_cl717,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4327_048,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl36]) ).
thf(zip_derived_cl4328,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n0 @ n14 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl717,zip_derived_cl4327]) ).
thf(zip_derived_cl79,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_049,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_050,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl371,plain,
( ( sum @ n14 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl364_051,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9185,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n0 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4328,zip_derived_cl79,zip_derived_cl58,zip_derived_cl78,zip_derived_cl57,zip_derived_cl371,zip_derived_cl364]) ).
thf(zip_derived_cl0,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('21',plain,
( ( sk__1 != n14 )
| ( sk_ != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9185,zip_derived_cl0]) ).
thf(zip_derived_cl717_052,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl758,plain,
( ( sk__1 = n20 )
<= ( sk__1 = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21_053,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_cl1296,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n20 ) ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl758,zip_derived_cl21]) ).
thf(zip_derived_cl42,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4629,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4630,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n0 @ n20 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl717,zip_derived_cl4629]) ).
thf(zip_derived_cl64,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_054,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_055,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl503,plain,
( ( sum @ n20 @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl502,plain,
( ( sum @ n20 @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9739,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n0 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4630,zip_derived_cl64,zip_derived_cl43,zip_derived_cl84,zip_derived_cl63,zip_derived_cl503,zip_derived_cl502]) ).
thf(zip_derived_cl3_056,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('22',plain,
( ( sk_ != n0 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9739,zip_derived_cl3]) ).
thf(zip_derived_cl717_057,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl757,plain,
( ( sk__1 = n19 )
<= ( sk__1 = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21_058,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_cl1274,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n19 ) ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl757,zip_derived_cl21]) ).
thf(zip_derived_cl41,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4582,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4583,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n0 @ n19 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl717,zip_derived_cl4582]) ).
thf(zip_derived_cl84_059,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_060,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83,plain,
( ( sum @ n0 @ n19 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_061,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl481,plain,
( ( sum @ n19 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl479,plain,
( ( sum @ n19 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9647,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n0 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4583,zip_derived_cl84,zip_derived_cl63,zip_derived_cl83,zip_derived_cl62,zip_derived_cl481,zip_derived_cl479]) ).
thf(zip_derived_cl6_062,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('23',plain,
( ( sk_ != n0 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9647,zip_derived_cl6]) ).
thf(zip_derived_cl717_063,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4537_064,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4538,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n0 @ n18 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl717,zip_derived_cl4537]) ).
thf(zip_derived_cl83_065,plain,
( ( sum @ n0 @ n19 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_066,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_067,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459,plain,
( ( sum @ n18 @ n17 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl456_068,plain,
( ( sum @ n18 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9555,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n0 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4538,zip_derived_cl83,zip_derived_cl62,zip_derived_cl82,zip_derived_cl61,zip_derived_cl459,zip_derived_cl456]) ).
thf(zip_derived_cl9_069,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('24',plain,
( ( sk_ != n0 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9555,zip_derived_cl9]) ).
thf(zip_derived_cl717_070,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl755,plain,
( ( sk__1 = n17 )
<= ( sk__1 = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21_071,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_cl1228,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n17 ) ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl755,zip_derived_cl21]) ).
thf(zip_derived_cl39,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4471,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4472,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n0 @ n17 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl717,zip_derived_cl4471]) ).
thf(zip_derived_cl82_072,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_073,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81,plain,
( ( sum @ n0 @ n17 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_074,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl437,plain,
( ( sum @ n17 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl433,plain,
( ( sum @ n17 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9463,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n0 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4472,zip_derived_cl82,zip_derived_cl61,zip_derived_cl81,zip_derived_cl60,zip_derived_cl437,zip_derived_cl433]) ).
thf(zip_derived_cl12_075,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('25',plain,
( ( sk_ != n0 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9463,zip_derived_cl12]) ).
thf(zip_derived_cl717_076,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl754,plain,
( ( sk__1 = n16 )
<= ( sk__1 = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21_077,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_cl1209,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n16 ) ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl754,zip_derived_cl21]) ).
thf(zip_derived_cl38,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4426,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4427,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n0 @ n16 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl717,zip_derived_cl4426]) ).
thf(zip_derived_cl81_078,plain,
( ( sum @ n0 @ n17 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_079,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_080,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl415_081,plain,
( ( sum @ n16 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl410,plain,
( ( sum @ n16 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9371,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n0 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4427,zip_derived_cl81,zip_derived_cl60,zip_derived_cl80,zip_derived_cl59,zip_derived_cl415,zip_derived_cl410]) ).
thf(zip_derived_cl15_082,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('26',plain,
( ( sk_ != n0 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9371,zip_derived_cl15]) ).
thf(zip_derived_cl717_083,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl753,plain,
( ( sk__1 = n15 )
<= ( sk__1 = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21_084,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_cl1191,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n15 ) ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl753,zip_derived_cl21]) ).
thf(zip_derived_cl37,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4375,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4376,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n0 @ n15 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl717,zip_derived_cl4375]) ).
thf(zip_derived_cl80_085,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_086,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_087,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_088,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl393_089,plain,
( ( sum @ n15 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl387,plain,
( ( sum @ n15 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9277,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n0 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4376,zip_derived_cl80,zip_derived_cl59,zip_derived_cl79,zip_derived_cl58,zip_derived_cl393,zip_derived_cl387]) ).
thf(zip_derived_cl18_090,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('27',plain,
( ( sk_ != n0 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9277,zip_derived_cl18]) ).
thf(zip_derived_cl717_091,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl751,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21_092,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_cl1149,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n13 ) ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl751,zip_derived_cl21]) ).
thf(zip_derived_cl35,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4280,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4281,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n0 @ n13 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl717,zip_derived_cl4280]) ).
thf(zip_derived_cl78_093,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_094,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_095,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_096,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl349,plain,
( ( sum @ n13 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl341,plain,
( ( sum @ n13 @ n4 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9093,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n0 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4281,zip_derived_cl78,zip_derived_cl57,zip_derived_cl77,zip_derived_cl56,zip_derived_cl349,zip_derived_cl341]) ).
thf(zip_derived_cl3_097,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('28',plain,
( ( sk_ != n0 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9093,zip_derived_cl3]) ).
thf(zip_derived_cl717_098,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl750,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21_099,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_cl1134,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n12 ) ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl750,zip_derived_cl21]) ).
thf(zip_derived_cl34,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4235,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4236,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n0 @ n12 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl717,zip_derived_cl4235]) ).
thf(zip_derived_cl77_100,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_101,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_102,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl327,plain,
( ( sum @ n12 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl318,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9001,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n0 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4236,zip_derived_cl77,zip_derived_cl56,zip_derived_cl76,zip_derived_cl55,zip_derived_cl327,zip_derived_cl318]) ).
thf(zip_derived_cl6_103,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('29',plain,
( ( sk_ != n0 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9001,zip_derived_cl6]) ).
thf(zip_derived_cl717_104,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl749,plain,
( ( sk__1 = n11 )
<= ( sk__1 = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21_105,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_cl1120,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n11 ) ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl749,zip_derived_cl21]) ).
thf(zip_derived_cl33,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4188,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl33]) ).
thf(zip_derived_cl4189,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n0 @ n11 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl717,zip_derived_cl4188]) ).
thf(zip_derived_cl76_106,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_107,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_108,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl305,plain,
( ( sum @ n11 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl295,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8909,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n0 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4189,zip_derived_cl76,zip_derived_cl55,zip_derived_cl75,zip_derived_cl54,zip_derived_cl305,zip_derived_cl295]) ).
thf(zip_derived_cl9_109,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('30',plain,
( ( sk_ != n0 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8909,zip_derived_cl9]) ).
thf(zip_derived_cl717_110,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl748,plain,
( ( sk__1 = n10 )
<= ( sk__1 = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21_111,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_cl1107,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_cl748,zip_derived_cl21]) ).
thf(zip_derived_cl32,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4140,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1107,zip_derived_cl32]) ).
thf(zip_derived_cl4141,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n0 @ n10 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl717,zip_derived_cl4140]) ).
thf(zip_derived_cl75_112,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_113,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_114,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl283,plain,
( ( sum @ n10 @ n9 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl293,plain,
( ( sum @ n10 @ n19 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8815,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n0 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4141,zip_derived_cl75,zip_derived_cl54,zip_derived_cl74,zip_derived_cl53,zip_derived_cl283,zip_derived_cl293]) ).
thf(zip_derived_cl12_115,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('31',plain,
( ( sk_ != n0 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8815,zip_derived_cl12]) ).
thf(zip_derived_cl717_116,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl31,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl747,plain,
( ( sk__1 = n9 )
<= ( sk__1 = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21_117,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_cl1041,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_cl747,zip_derived_cl21]) ).
thf(zip_derived_cl3261,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3262,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_cl717,zip_derived_cl3261]) ).
thf(zip_derived_cl74_118,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_119,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_120,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl261,plain,
( ( sum @ n9 @ n8 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270,plain,
( ( sum @ n9 @ n17 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8155,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n0 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3262,zip_derived_cl74,zip_derived_cl53,zip_derived_cl73,zip_derived_cl52,zip_derived_cl261,zip_derived_cl270]) ).
thf(zip_derived_cl15_121,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('32',plain,
( ( sk_ != n0 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8155,zip_derived_cl15]) ).
thf(zip_derived_cl717_122,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl30,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl746,plain,
( ( sk__1 = n8 )
<= ( sk__1 = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21_123,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_cl1040,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_cl746,zip_derived_cl21]) ).
thf(zip_derived_cl2945,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2946,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_cl717,zip_derived_cl2945]) ).
thf(zip_derived_cl73_124,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_125,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_126,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl239,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl247_127,plain,
( ( sum @ n8 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7803,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n0 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2946,zip_derived_cl73,zip_derived_cl52,zip_derived_cl72,zip_derived_cl51,zip_derived_cl239,zip_derived_cl247]) ).
thf(zip_derived_cl18_128,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('33',plain,
( ( sk_ != n0 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7803,zip_derived_cl18]) ).
thf(zip_derived_cl717_129,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl29,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl745,plain,
( ( sk__1 = n7 )
<= ( sk__1 = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21_130,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_cl1039,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_cl745,zip_derived_cl21]) ).
thf(zip_derived_cl2641,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2642,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_cl717,zip_derived_cl2641]) ).
thf(zip_derived_cl72_131,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_132,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_133,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl217,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224,plain,
( ( sum @ n7 @ n13 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7372,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n0 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2642,zip_derived_cl72,zip_derived_cl51,zip_derived_cl71,zip_derived_cl50,zip_derived_cl217,zip_derived_cl224]) ).
thf(zip_derived_cl0_134,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('34',plain,
( ( sk_ != n0 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7372,zip_derived_cl0]) ).
thf(zip_derived_cl717_135,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl28,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl744,plain,
( ( sk__1 = n6 )
<= ( sk__1 = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21_136,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_cl1038,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_cl744,zip_derived_cl21]) ).
thf(zip_derived_cl2329,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2330,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_cl717,zip_derived_cl2329]) ).
thf(zip_derived_cl71_137,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_138,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_139,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl195,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl201,plain,
( ( sum @ n6 @ n11 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7033,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n0 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2330,zip_derived_cl71,zip_derived_cl50,zip_derived_cl70,zip_derived_cl49,zip_derived_cl195,zip_derived_cl201]) ).
thf(zip_derived_cl3_140,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('35',plain,
( ( sk_ != n0 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7033,zip_derived_cl3]) ).
thf(zip_derived_cl717_141,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl27,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl743,plain,
( ( sk__1 = n5 )
<= ( sk__1 = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21_142,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_cl1037,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_cl743,zip_derived_cl21]) ).
thf(zip_derived_cl2018,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2028,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_cl717,zip_derived_cl2018]) ).
thf(zip_derived_cl70_143,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_144,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_145,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl173,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6787,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n0 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2028,zip_derived_cl70,zip_derived_cl49,zip_derived_cl69,zip_derived_cl48,zip_derived_cl173,zip_derived_cl178]) ).
thf(zip_derived_cl6_146,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('36',plain,
( ( sk_ != n0 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6787,zip_derived_cl6]) ).
thf(zip_derived_cl717_147,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl26,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl742,plain,
( ( sk__1 = n4 )
<= ( sk__1 = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21_148,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_cl1036,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_cl742,zip_derived_cl21]) ).
thf(zip_derived_cl1784,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1794,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_cl717,zip_derived_cl1784]) ).
thf(zip_derived_cl69_149,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_150,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_151,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl151,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl155,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6683,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n0 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1794,zip_derived_cl69,zip_derived_cl48,zip_derived_cl68,zip_derived_cl47,zip_derived_cl151,zip_derived_cl155]) ).
thf(zip_derived_cl9_152,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('37',plain,
( ( sk_ != n0 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6683,zip_derived_cl9]) ).
thf(zip_derived_cl717_153,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl25,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl741,plain,
( ( sk__1 = n3 )
<= ( sk__1 = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21_154,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_cl1035,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_cl741,zip_derived_cl21]) ).
thf(zip_derived_cl1577,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1584,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_cl717,zip_derived_cl1577]) ).
thf(zip_derived_cl68_155,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_156,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_157,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl129,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6618,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n0 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1584,zip_derived_cl68,zip_derived_cl47,zip_derived_cl67,zip_derived_cl46,zip_derived_cl129,zip_derived_cl132]) ).
thf(zip_derived_cl12_158,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('38',plain,
( ( sk_ != n0 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6618,zip_derived_cl12]) ).
thf(zip_derived_cl717_159,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl740,plain,
( ( sk__1 = n2 )
<= ( sk__1 = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21_160,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_cl1034,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_cl740,zip_derived_cl21]) ).
thf(zip_derived_cl24,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1409,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1411,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_cl717,zip_derived_cl1409]) ).
thf(zip_derived_cl67_161,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_162,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_163,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6565,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n0 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1411,zip_derived_cl67,zip_derived_cl46,zip_derived_cl66,zip_derived_cl45,zip_derived_cl107,zip_derived_cl109]) ).
thf(zip_derived_cl15_164,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('39',plain,
( ( sk_ != n0 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6565,zip_derived_cl15]) ).
thf(zip_derived_cl717_165,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl739,plain,
( ( sk__1 = n1 )
<= ( sk__1 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21_166,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_cl1033,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_cl739,zip_derived_cl21]) ).
thf(zip_derived_cl23,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1364,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1365,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_cl717,zip_derived_cl1364]) ).
thf(zip_derived_cl66_167,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_168,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_169,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6528,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n0 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1365,zip_derived_cl66,zip_derived_cl45,zip_derived_cl65,zip_derived_cl44,zip_derived_cl85,zip_derived_cl86]) ).
thf(zip_derived_cl18_170,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('40',plain,
( ( sk_ != n0 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6528,zip_derived_cl18]) ).
thf(zip_derived_cl717_171,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl738,plain,
( ( sk__1 = n0 )
<= ( sk__1 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl21_172,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_cl1032,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_cl738,zip_derived_cl21]) ).
thf(zip_derived_cl22,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1319,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1320,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_cl717,zip_derived_cl1319]) ).
thf(zip_derived_cl65_173,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_174,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_175,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_176,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_177,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_178,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6490,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n0 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1320,zip_derived_cl65,zip_derived_cl44,zip_derived_cl64,zip_derived_cl43,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl0_179,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('41',plain,
( ( sk_ != n0 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6490,zip_derived_cl0]) ).
thf(zip_derived_cl737_180,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4426_181,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4447,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n20 @ n16 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl4426]) ).
thf(zip_derived_cl501,plain,
( ( sum @ n20 @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_182,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl500,plain,
( ( sum @ n20 @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_183,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl414_184,plain,
( ( sum @ n16 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl388,plain,
( ( sum @ n15 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9415,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n20 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4447,zip_derived_cl501,zip_derived_cl59,zip_derived_cl500,zip_derived_cl58,zip_derived_cl414,zip_derived_cl388]) ).
thf(zip_derived_cl17_185,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('42',plain,
( ( sk__1 != n16 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9415,zip_derived_cl17]) ).
thf(zip_derived_cl736_186,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4426_187,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4446,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n19 @ n16 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl4426]) ).
thf(zip_derived_cl480,plain,
( ( sum @ n19 @ n17 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_188,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl479_189,plain,
( ( sum @ n19 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_190,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl413,plain,
( ( sum @ n16 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl366_191,plain,
( ( sum @ n14 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9411,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n19 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4446,zip_derived_cl480,zip_derived_cl58,zip_derived_cl479,zip_derived_cl57,zip_derived_cl413,zip_derived_cl366]) ).
thf(zip_derived_cl19_192,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('43',plain,
( ( sk__1 != n16 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9411,zip_derived_cl19]) ).
thf(zip_derived_cl735_193,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4426_194,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4445,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n18 @ n16 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl4426]) ).
thf(zip_derived_cl459_195,plain,
( ( sum @ n18 @ n17 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_196,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl458,plain,
( ( sum @ n18 @ n16 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_197,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl412,plain,
( ( sum @ n16 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl344,plain,
( ( sum @ n13 @ n7 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9409,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n18 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4445,zip_derived_cl459,zip_derived_cl57,zip_derived_cl458,zip_derived_cl56,zip_derived_cl412,zip_derived_cl344]) ).
thf(zip_derived_cl0_198,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('44',plain,
( ( sk__1 != n16 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9409,zip_derived_cl0]) ).
thf(zip_derived_cl734_199,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4426_200,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4444,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n17 @ n16 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl4426]) ).
thf(zip_derived_cl438,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_201,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl437_202,plain,
( ( sum @ n17 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_203,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl411,plain,
( ( sum @ n16 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9407,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n17 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4444,zip_derived_cl438,zip_derived_cl56,zip_derived_cl437,zip_derived_cl55,zip_derived_cl411,zip_derived_cl322]) ).
thf(zip_derived_cl2_204,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('45',plain,
( ( sk__1 != n16 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9407,zip_derived_cl2]) ).
thf(zip_derived_cl733_205,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4426_206,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4443,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n16 @ n16 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl4426]) ).
thf(zip_derived_cl417,plain,
( ( sum @ n16 @ n17 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_207,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_208,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl410_209,plain,
( ( sum @ n16 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl300,plain,
( ( sum @ n11 @ n5 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9405,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n16 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4443,zip_derived_cl417,zip_derived_cl55,zip_derived_cl416,zip_derived_cl54,zip_derived_cl410,zip_derived_cl300]) ).
thf(zip_derived_cl4_210,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('46',plain,
( ( sk__1 != n16 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9405,zip_derived_cl4]) ).
thf(zip_derived_cl732_211,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4426_212,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4442,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n15 @ n16 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl4426]) ).
thf(zip_derived_cl396,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_213,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl395,plain,
( ( sum @ n15 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_214,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl409,plain,
( ( sum @ n16 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9403,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n15 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4442,zip_derived_cl396,zip_derived_cl54,zip_derived_cl395,zip_derived_cl53,zip_derived_cl409,zip_derived_cl278]) ).
thf(zip_derived_cl6_215,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('47',plain,
( ( sk__1 != n16 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9403,zip_derived_cl6]) ).
thf(zip_derived_cl731_216,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4426_217,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4441,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n14 @ n16 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl4426]) ).
thf(zip_derived_cl375_218,plain,
( ( sum @ n14 @ n17 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_219,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374_220,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_221,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl408_222,plain,
( ( sum @ n16 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9401,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n14 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4441,zip_derived_cl375,zip_derived_cl53,zip_derived_cl374,zip_derived_cl52,zip_derived_cl408,zip_derived_cl256]) ).
thf(zip_derived_cl8_223,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('48',plain,
( ( sk__1 != n16 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9401,zip_derived_cl8]) ).
thf(zip_derived_cl730_224,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4426_225,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4440,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n13 @ n16 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl4426]) ).
thf(zip_derived_cl354,plain,
( ( sum @ n13 @ n17 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_226,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353,plain,
( ( sum @ n13 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_227,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407,plain,
( ( sum @ n16 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9399,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n13 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4440,zip_derived_cl354,zip_derived_cl52,zip_derived_cl353,zip_derived_cl51,zip_derived_cl407,zip_derived_cl234]) ).
thf(zip_derived_cl10_228,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('49',plain,
( ( sk__1 != n16 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9399,zip_derived_cl10]) ).
thf(zip_derived_cl729_229,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4426_230,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4439,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n12 @ n16 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl4426]) ).
thf(zip_derived_cl333,plain,
( ( sum @ n12 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_231,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332,plain,
( ( sum @ n12 @ n16 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_232,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl406,plain,
( ( sum @ n16 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9397,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n12 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4439,zip_derived_cl333,zip_derived_cl51,zip_derived_cl332,zip_derived_cl50,zip_derived_cl406,zip_derived_cl212]) ).
thf(zip_derived_cl12_233,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('50',plain,
( ( sk__1 != n16 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9397,zip_derived_cl12]) ).
thf(zip_derived_cl728_234,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4426_235,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4438,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n11 @ n16 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl4426]) ).
thf(zip_derived_cl312,plain,
( ( sum @ n11 @ n17 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_236,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl311,plain,
( ( sum @ n11 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_237,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405,plain,
( ( sum @ n16 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl190,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9395,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n11 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4438,zip_derived_cl312,zip_derived_cl50,zip_derived_cl311,zip_derived_cl49,zip_derived_cl405,zip_derived_cl190]) ).
thf(zip_derived_cl14_238,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('51',plain,
( ( sk__1 != n16 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9395,zip_derived_cl14]) ).
thf(zip_derived_cl727_239,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4426_240,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4437,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n10 @ n16 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl4426]) ).
thf(zip_derived_cl291,plain,
( ( sum @ n10 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_241,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290,plain,
( ( sum @ n10 @ n16 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_242,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl404,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189,plain,
( ( sum @ n5 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9393,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n10 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4437,zip_derived_cl291,zip_derived_cl49,zip_derived_cl290,zip_derived_cl48,zip_derived_cl404,zip_derived_cl189]) ).
thf(zip_derived_cl16_243,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('52',plain,
( ( sk__1 != n16 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9393,zip_derived_cl16]) ).
thf(zip_derived_cl726_244,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4426_245,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4436,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n9 @ n16 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl726,zip_derived_cl4426]) ).
thf(zip_derived_cl270_246,plain,
( ( sum @ n9 @ n17 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_247,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl269,plain,
( ( sum @ n9 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_248,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl403,plain,
( ( sum @ n16 @ n3 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl167_249,plain,
( ( sum @ n4 @ n19 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9389,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n9 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4436,zip_derived_cl270,zip_derived_cl48,zip_derived_cl269,zip_derived_cl47,zip_derived_cl403,zip_derived_cl167]) ).
thf(zip_derived_cl18_250,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('53',plain,
( ( sk__1 != n16 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9389,zip_derived_cl18]) ).
thf(zip_derived_cl725_251,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4426_252,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4435,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n8 @ n16 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl725,zip_derived_cl4426]) ).
thf(zip_derived_cl249,plain,
( ( sum @ n8 @ n17 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_253,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl248,plain,
( ( sum @ n8 @ n16 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_254,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl402,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145,plain,
( ( sum @ n3 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9387,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n8 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4435,zip_derived_cl249,zip_derived_cl47,zip_derived_cl248,zip_derived_cl46,zip_derived_cl402,zip_derived_cl145]) ).
thf(zip_derived_cl20_255,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('54',plain,
( ( sk__1 != n16 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9387,zip_derived_cl20]) ).
thf(zip_derived_cl724_256,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4426_257,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4434,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n7 @ n16 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl724,zip_derived_cl4426]) ).
thf(zip_derived_cl228,plain,
( ( sum @ n7 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_258,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227,plain,
( ( sum @ n7 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_259,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl401,plain,
( ( sum @ n16 @ n1 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl123,plain,
( ( sum @ n2 @ n17 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9385,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n7 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4434,zip_derived_cl228,zip_derived_cl46,zip_derived_cl227,zip_derived_cl45,zip_derived_cl401,zip_derived_cl123]) ).
thf(zip_derived_cl1_260,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('55',plain,
( ( sk__1 != n16 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9385,zip_derived_cl1]) ).
thf(zip_derived_cl723_261,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4426_262,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4433,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n6 @ n16 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl723,zip_derived_cl4426]) ).
thf(zip_derived_cl207,plain,
( ( sum @ n6 @ n17 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_263,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl206,plain,
( ( sum @ n6 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_264,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl400,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101,plain,
( ( sum @ n1 @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9383,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n6 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4433,zip_derived_cl207,zip_derived_cl45,zip_derived_cl206,zip_derived_cl44,zip_derived_cl400,zip_derived_cl101]) ).
thf(zip_derived_cl3_265,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('56',plain,
( ( sk__1 != n16 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9383,zip_derived_cl3]) ).
thf(zip_derived_cl722_266,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4426_267,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4432,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n5 @ n16 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl722,zip_derived_cl4426]) ).
thf(zip_derived_cl186,plain,
( ( sum @ n5 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_268,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl185,plain,
( ( sum @ n5 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_269,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl420,plain,
( ( sum @ n16 @ n20 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_270,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9381,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n5 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4432,zip_derived_cl186,zip_derived_cl44,zip_derived_cl185,zip_derived_cl43,zip_derived_cl420,zip_derived_cl79]) ).
thf(zip_derived_cl5_271,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('57',plain,
( ( sk__1 != n16 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9381,zip_derived_cl5]) ).
thf(zip_derived_cl721_272,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4426_273,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4431,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n4 @ n16 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl721,zip_derived_cl4426]) ).
thf(zip_derived_cl165_274,plain,
( ( sum @ n4 @ n17 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_275,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_276,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl419,plain,
( ( sum @ n16 @ n19 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl498_277,plain,
( ( sum @ n20 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9379,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n4 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4431,zip_derived_cl165,zip_derived_cl43,zip_derived_cl164,zip_derived_cl63,zip_derived_cl419,zip_derived_cl498]) ).
thf(zip_derived_cl7_278,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('58',plain,
( ( sk_ != n4 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9379,zip_derived_cl7]) ).
thf(zip_derived_cl720_279,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4426_280,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4430,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n3 @ n16 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl720,zip_derived_cl4426]) ).
thf(zip_derived_cl144,plain,
( ( sum @ n3 @ n17 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_281,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143_282,plain,
( ( sum @ n3 @ n16 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_283,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl476,plain,
( ( sum @ n19 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9377,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n3 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4430,zip_derived_cl144,zip_derived_cl63,zip_derived_cl143,zip_derived_cl62,zip_derived_cl418,zip_derived_cl476]) ).
thf(zip_derived_cl9_284,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('59',plain,
( ( sk__1 != n16 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9377,zip_derived_cl9]) ).
thf(zip_derived_cl719_285,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4426_286,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4429,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n2 @ n16 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl719,zip_derived_cl4426]) ).
thf(zip_derived_cl123_287,plain,
( ( sum @ n2 @ n17 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_288,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_289,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl417_290,plain,
( ( sum @ n16 @ n17 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl454,plain,
( ( sum @ n18 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9375,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n2 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4429,zip_derived_cl123,zip_derived_cl62,zip_derived_cl122,zip_derived_cl61,zip_derived_cl417,zip_derived_cl454]) ).
thf(zip_derived_cl11_291,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('60',plain,
( ( sk__1 != n16 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9375,zip_derived_cl11]) ).
thf(zip_derived_cl718_292,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4426_293,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl38]) ).
thf(zip_derived_cl4428,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n1 @ n16 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl718,zip_derived_cl4426]) ).
thf(zip_derived_cl102,plain,
( ( sum @ n1 @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_294,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101_295,plain,
( ( sum @ n1 @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_296,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_297,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432,plain,
( ( sum @ n17 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9373,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n1 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4428,zip_derived_cl102,zip_derived_cl61,zip_derived_cl101,zip_derived_cl60,zip_derived_cl416,zip_derived_cl432]) ).
thf(zip_derived_cl13_298,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('61',plain,
( ( sk__1 != n16 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9373,zip_derived_cl13]) ).
thf(zip_derived_cl719_299,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4629_300,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4632,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n2 @ n20 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl719,zip_derived_cl4629]) ).
thf(zip_derived_cl106,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_301,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126,plain,
( ( sum @ n2 @ n20 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_302,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl484,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl105,plain,
( ( sum @ n1 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9745,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n2 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4632,zip_derived_cl106,zip_derived_cl45,zip_derived_cl126,zip_derived_cl44,zip_derived_cl484,zip_derived_cl105]) ).
thf(zip_derived_cl20_303,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('62',plain,
( ( sk_ != n2 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9745,zip_derived_cl20]) ).
thf(zip_derived_cl719_304,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4582_305,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4585,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n2 @ n19 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl719,zip_derived_cl4582]) ).
thf(zip_derived_cl126_306,plain,
( ( sum @ n2 @ n20 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_307,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl125,plain,
( ( sum @ n2 @ n19 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_308,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl483,plain,
( ( sum @ n19 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_309,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9651,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n2 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4585,zip_derived_cl126,zip_derived_cl44,zip_derived_cl125,zip_derived_cl43,zip_derived_cl483,zip_derived_cl82]) ).
thf(zip_derived_cl2_310,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('63',plain,
( ( sk_ != n2 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9651,zip_derived_cl2]) ).
thf(zip_derived_cl719_311,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4537_312,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4540,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n2 @ n18 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl719,zip_derived_cl4537]) ).
thf(zip_derived_cl125_313,plain,
( ( sum @ n2 @ n19 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_314,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_315,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461,plain,
( ( sum @ n18 @ n19 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl500_316,plain,
( ( sum @ n20 @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9559,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n2 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4540,zip_derived_cl125,zip_derived_cl43,zip_derived_cl124,zip_derived_cl63,zip_derived_cl461,zip_derived_cl500]) ).
thf(zip_derived_cl5_317,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('64',plain,
( ( sk_ != n2 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9559,zip_derived_cl5]) ).
thf(zip_derived_cl719_318,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4471_319,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4474,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n2 @ n17 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl719,zip_derived_cl4471]) ).
thf(zip_derived_cl124_320,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_321,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl123_322,plain,
( ( sum @ n2 @ n17 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_323,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl439,plain,
( ( sum @ n17 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl477_324,plain,
( ( sum @ n19 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9467,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n2 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4474,zip_derived_cl124,zip_derived_cl63,zip_derived_cl123,zip_derived_cl62,zip_derived_cl439,zip_derived_cl477]) ).
thf(zip_derived_cl8_325,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('65',plain,
( ( sk_ != n2 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9467,zip_derived_cl8]) ).
thf(zip_derived_cl719_326,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4375_327,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4378,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n2 @ n15 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl719,zip_derived_cl4375]) ).
thf(zip_derived_cl122_328,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_329,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121_330,plain,
( ( sum @ n2 @ n15 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_331,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl395_332,plain,
( ( sum @ n15 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl431,plain,
( ( sum @ n17 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9283,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n2 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4378,zip_derived_cl122,zip_derived_cl61,zip_derived_cl121,zip_derived_cl60,zip_derived_cl395,zip_derived_cl431]) ).
thf(zip_derived_cl14_333,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('66',plain,
( ( sk_ != n2 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9283,zip_derived_cl14]) ).
thf(zip_derived_cl719_334,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4280_335,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4283,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n2 @ n13 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl719,zip_derived_cl4280]) ).
thf(zip_derived_cl120_336,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_337,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_338,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_339,plain,
( ( sum @ n13 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl385,plain,
( ( sum @ n15 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9097,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n2 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4283,zip_derived_cl120,zip_derived_cl59,zip_derived_cl119,zip_derived_cl58,zip_derived_cl351,zip_derived_cl385]) ).
thf(zip_derived_cl20_340,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('67',plain,
( ( sk_ != n2 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9097,zip_derived_cl20]) ).
thf(zip_derived_cl719_341,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4235_342,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4238,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n2 @ n12 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl719,zip_derived_cl4235]) ).
thf(zip_derived_cl119_343,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_344,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_345,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl329,plain,
( ( sum @ n12 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl362_346,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9005,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n2 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4238,zip_derived_cl119,zip_derived_cl58,zip_derived_cl118,zip_derived_cl57,zip_derived_cl329,zip_derived_cl362]) ).
thf(zip_derived_cl2_347,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('68',plain,
( ( sk_ != n2 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9005,zip_derived_cl2]) ).
thf(zip_derived_cl719_348,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4188_349,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl33]) ).
thf(zip_derived_cl4191,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n2 @ n11 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl719,zip_derived_cl4188]) ).
thf(zip_derived_cl118_350,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_351,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_352,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl307,plain,
( ( sum @ n11 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl339,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8913,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n2 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4191,zip_derived_cl118,zip_derived_cl57,zip_derived_cl117,zip_derived_cl56,zip_derived_cl307,zip_derived_cl339]) ).
thf(zip_derived_cl5_353,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('69',plain,
( ( sk_ != n2 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8913,zip_derived_cl5]) ).
thf(zip_derived_cl719_354,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4140_355,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1107,zip_derived_cl32]) ).
thf(zip_derived_cl4143,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n2 @ n10 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl719,zip_derived_cl4140]) ).
thf(zip_derived_cl117_356,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_357,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_358,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl285,plain,
( ( sum @ n10 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl316,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8821,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n2 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4143,zip_derived_cl117,zip_derived_cl56,zip_derived_cl116,zip_derived_cl55,zip_derived_cl285,zip_derived_cl316]) ).
thf(zip_derived_cl8_359,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('70',plain,
( ( sk_ != n2 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8821,zip_derived_cl8]) ).
thf(zip_derived_cl719_360,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl3261_361,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3264,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_cl719,zip_derived_cl3261]) ).
thf(zip_derived_cl116_362,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_363,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_364,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl263,plain,
( ( sum @ n9 @ n10 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl314,plain,
( ( sum @ n11 @ n19 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8161,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n2 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3264,zip_derived_cl116,zip_derived_cl55,zip_derived_cl115,zip_derived_cl54,zip_derived_cl263,zip_derived_cl314]) ).
thf(zip_derived_cl11_365,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('71',plain,
( ( sk_ != n2 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8161,zip_derived_cl11]) ).
thf(zip_derived_cl719_366,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2945_367,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2948,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_cl719,zip_derived_cl2945]) ).
thf(zip_derived_cl115_368,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_369,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_370,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl241,plain,
( ( sum @ n8 @ n9 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl291_371,plain,
( ( sum @ n10 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7807,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n2 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2948,zip_derived_cl115,zip_derived_cl54,zip_derived_cl114,zip_derived_cl53,zip_derived_cl241,zip_derived_cl291]) ).
thf(zip_derived_cl14_372,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('72',plain,
( ( sk_ != n2 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7807,zip_derived_cl14]) ).
thf(zip_derived_cl719_373,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2641_374,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2644,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_cl719,zip_derived_cl2641]) ).
thf(zip_derived_cl114_375,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_376,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_377,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268_378,plain,
( ( sum @ n9 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7378,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n2 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2644,zip_derived_cl114,zip_derived_cl53,zip_derived_cl113,zip_derived_cl52,zip_derived_cl219,zip_derived_cl268]) ).
thf(zip_derived_cl17_379,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('73',plain,
( ( sk_ != n2 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7378,zip_derived_cl17]) ).
thf(zip_derived_cl719_380,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2329_381,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2332,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_cl719,zip_derived_cl2329]) ).
thf(zip_derived_cl113_382,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_383,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_384,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl197,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245,plain,
( ( sum @ n8 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7066,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n2 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2332,zip_derived_cl113,zip_derived_cl52,zip_derived_cl112,zip_derived_cl51,zip_derived_cl197,zip_derived_cl245]) ).
thf(zip_derived_cl20_385,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('74',plain,
( ( sk_ != n2 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7066,zip_derived_cl20]) ).
thf(zip_derived_cl719_386,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2018_387,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2030,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_cl719,zip_derived_cl2018]) ).
thf(zip_derived_cl112_388,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_389,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_390,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl175,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222,plain,
( ( sum @ n7 @ n11 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6791,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n2 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2030,zip_derived_cl112,zip_derived_cl51,zip_derived_cl111,zip_derived_cl50,zip_derived_cl175,zip_derived_cl222]) ).
thf(zip_derived_cl2_391,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('75',plain,
( ( sk_ != n2 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6791,zip_derived_cl2]) ).
thf(zip_derived_cl719_392,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1784_393,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1796,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_cl719,zip_derived_cl1784]) ).
thf(zip_derived_cl111_394,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_395,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_396,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl153,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl199,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6687,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n2 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1796,zip_derived_cl111,zip_derived_cl50,zip_derived_cl110,zip_derived_cl49,zip_derived_cl153,zip_derived_cl199]) ).
thf(zip_derived_cl5_397,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('76',plain,
( ( sk_ != n2 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6687,zip_derived_cl5]) ).
thf(zip_derived_cl719_398,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1577_399,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1586,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_cl719,zip_derived_cl1577]) ).
thf(zip_derived_cl110_400,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_401,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109_402,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_403,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl131,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6622,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n2 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1586,zip_derived_cl110,zip_derived_cl49,zip_derived_cl109,zip_derived_cl48,zip_derived_cl131,zip_derived_cl176]) ).
thf(zip_derived_cl8_404,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('77',plain,
( ( sk_ != n2 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6622,zip_derived_cl8]) ).
thf(zip_derived_cl719_405,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1409_406,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1413,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_cl719,zip_derived_cl1409]) ).
thf(zip_derived_cl109_407,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_408,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_409,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109_410,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl153_411,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6569,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n2 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1413,zip_derived_cl109,zip_derived_cl48,zip_derived_cl108,zip_derived_cl47,zip_derived_cl109,zip_derived_cl153]) ).
thf(zip_derived_cl11_412,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('78',plain,
( ( sk_ != n2 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6569,zip_derived_cl11]) ).
thf(zip_derived_cl719_413,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1364_414,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1367,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_cl719,zip_derived_cl1364]) ).
thf(zip_derived_cl108_415,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_416,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107_417,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_418,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6532,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n2 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1367,zip_derived_cl108,zip_derived_cl47,zip_derived_cl107,zip_derived_cl46,zip_derived_cl87,zip_derived_cl130]) ).
thf(zip_derived_cl14_419,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('79',plain,
( ( sk_ != n2 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6532,zip_derived_cl14]) ).
thf(zip_derived_cl719_420,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1319_421,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1322,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_cl719,zip_derived_cl1319]) ).
thf(zip_derived_cl107_422,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_423,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106_424,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_425,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_426,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107_427,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6494,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n2 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1322,zip_derived_cl107,zip_derived_cl46,zip_derived_cl106,zip_derived_cl45,zip_derived_cl65,zip_derived_cl107]) ).
thf(zip_derived_cl17_428,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('80',plain,
( ( sk_ != n2 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6494,zip_derived_cl17]) ).
thf(zip_derived_cl732_429,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4140_430,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1107,zip_derived_cl32]) ).
thf(zip_derived_cl4156,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n15 @ n10 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl4140]) ).
thf(zip_derived_cl390,plain,
( ( sum @ n15 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_431,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl389,plain,
( ( sum @ n15 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_432,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl277,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl161,plain,
( ( sum @ n4 @ n13 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8849,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n15 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4156,zip_derived_cl390,zip_derived_cl48,zip_derived_cl389,zip_derived_cl47,zip_derived_cl277,zip_derived_cl161]) ).
thf(zip_derived_cl3_433,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('81',plain,
( ( sk__1 != n10 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8849,zip_derived_cl3]) ).
thf(zip_derived_cl731_434,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4140_435,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1107,zip_derived_cl32]) ).
thf(zip_derived_cl4155,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n14 @ n10 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl4140]) ).
thf(zip_derived_cl369_436,plain,
( ( sum @ n14 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_437,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl368_438,plain,
( ( sum @ n14 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_439,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276_440,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8847,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n14 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4155,zip_derived_cl369,zip_derived_cl47,zip_derived_cl368,zip_derived_cl46,zip_derived_cl276,zip_derived_cl139]) ).
thf(zip_derived_cl5_441,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('82',plain,
( ( sk__1 != n10 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8847,zip_derived_cl5]) ).
thf(zip_derived_cl730_442,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4140_443,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1107,zip_derived_cl32]) ).
thf(zip_derived_cl4154,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n13 @ n10 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl4140]) ).
thf(zip_derived_cl348,plain,
( ( sum @ n13 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_444,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl347,plain,
( ( sum @ n13 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_445,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl275,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117_446,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8845,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n13 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4154,zip_derived_cl348,zip_derived_cl46,zip_derived_cl347,zip_derived_cl45,zip_derived_cl275,zip_derived_cl117]) ).
thf(zip_derived_cl7_447,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('83',plain,
( ( sk__1 != n10 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8845,zip_derived_cl7]) ).
thf(zip_derived_cl729_448,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4140_449,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1107,zip_derived_cl32]) ).
thf(zip_derived_cl4153,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n12 @ n10 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl4140]) ).
thf(zip_derived_cl327_450,plain,
( ( sum @ n12 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_451,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326,plain,
( ( sum @ n12 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_452,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl274,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8843,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n12 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4153,zip_derived_cl327,zip_derived_cl45,zip_derived_cl326,zip_derived_cl44,zip_derived_cl274,zip_derived_cl95]) ).
thf(zip_derived_cl9_453,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('84',plain,
( ( sk__1 != n10 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8843,zip_derived_cl9]) ).
thf(zip_derived_cl728_454,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4140_455,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1107,zip_derived_cl32]) ).
thf(zip_derived_cl4152,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n11 @ n10 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl4140]) ).
thf(zip_derived_cl306,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_456,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl305_457,plain,
( ( sum @ n11 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_458,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl294,plain,
( ( sum @ n10 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_459,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8839,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n11 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4152,zip_derived_cl306,zip_derived_cl44,zip_derived_cl305,zip_derived_cl43,zip_derived_cl294,zip_derived_cl73]) ).
thf(zip_derived_cl11_460,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('85',plain,
( ( sk__1 != n10 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8839,zip_derived_cl11]) ).
thf(zip_derived_cl727_461,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4140_462,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1107,zip_derived_cl32]) ).
thf(zip_derived_cl4151,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n10 @ n10 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl4140]) ).
thf(zip_derived_cl285_463,plain,
( ( sum @ n10 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_464,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl284,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_465,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl293_466,plain,
( ( sum @ n10 @ n19 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl492,plain,
( ( sum @ n20 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8837,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n10 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4151,zip_derived_cl285,zip_derived_cl43,zip_derived_cl284,zip_derived_cl63,zip_derived_cl293,zip_derived_cl492]) ).
thf(zip_derived_cl13_467,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('86',plain,
( ( sk__1 != n10 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8837,zip_derived_cl13]) ).
thf(zip_derived_cl726_468,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4140_469,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1107,zip_derived_cl32]) ).
thf(zip_derived_cl4150,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n9 @ n10 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl726,zip_derived_cl4140]) ).
thf(zip_derived_cl264,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_470,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl263_471,plain,
( ( sum @ n9 @ n10 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_472,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl292,plain,
( ( sum @ n10 @ n18 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl470,plain,
( ( sum @ n19 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8835,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n9 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4150,zip_derived_cl264,zip_derived_cl63,zip_derived_cl263,zip_derived_cl62,zip_derived_cl292,zip_derived_cl470]) ).
thf(zip_derived_cl15_473,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('87',plain,
( ( sk__1 != n10 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8835,zip_derived_cl15]) ).
thf(zip_derived_cl725_474,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4140_475,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1107,zip_derived_cl32]) ).
thf(zip_derived_cl4149,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n8 @ n10 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl725,zip_derived_cl4140]) ).
thf(zip_derived_cl243,plain,
( ( sum @ n8 @ n11 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_476,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_477,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl291_478,plain,
( ( sum @ n10 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448,plain,
( ( sum @ n18 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8833,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n8 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4149,zip_derived_cl243,zip_derived_cl62,zip_derived_cl242,zip_derived_cl61,zip_derived_cl291,zip_derived_cl448]) ).
thf(zip_derived_cl17_479,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('88',plain,
( ( sk__1 != n10 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8833,zip_derived_cl17]) ).
thf(zip_derived_cl724_480,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4140_481,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1107,zip_derived_cl32]) ).
thf(zip_derived_cl4148,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n7 @ n10 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl724,zip_derived_cl4140]) ).
thf(zip_derived_cl222_482,plain,
( ( sum @ n7 @ n11 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_483,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221,plain,
( ( sum @ n7 @ n10 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_484,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_485,plain,
( ( sum @ n10 @ n16 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl426,plain,
( ( sum @ n17 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8831,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n7 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4148,zip_derived_cl222,zip_derived_cl61,zip_derived_cl221,zip_derived_cl60,zip_derived_cl290,zip_derived_cl426]) ).
thf(zip_derived_cl19_486,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('89',plain,
( ( sk__1 != n10 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8831,zip_derived_cl19]) ).
thf(zip_derived_cl723_487,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4140_488,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1107,zip_derived_cl32]) ).
thf(zip_derived_cl4147,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n6 @ n10 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl723,zip_derived_cl4140]) ).
thf(zip_derived_cl201_489,plain,
( ( sum @ n6 @ n11 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_490,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_491,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl289_492,plain,
( ( sum @ n10 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl404_493,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8829,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n6 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4147,zip_derived_cl201,zip_derived_cl60,zip_derived_cl200,zip_derived_cl59,zip_derived_cl289,zip_derived_cl404]) ).
thf(zip_derived_cl0_494,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('90',plain,
( ( sk__1 != n10 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8829,zip_derived_cl0]) ).
thf(zip_derived_cl722_495,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4140_496,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1107,zip_derived_cl32]) ).
thf(zip_derived_cl4146,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n5 @ n10 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl722,zip_derived_cl4140]) ).
thf(zip_derived_cl180,plain,
( ( sum @ n5 @ n11 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_497,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl179,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_498,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_499,plain,
( ( sum @ n10 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl382,plain,
( ( sum @ n15 @ n3 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8827,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n5 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4146,zip_derived_cl180,zip_derived_cl59,zip_derived_cl179,zip_derived_cl58,zip_derived_cl288,zip_derived_cl382]) ).
thf(zip_derived_cl2_500,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('91',plain,
( ( sk__1 != n10 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8827,zip_derived_cl2]) ).
thf(zip_derived_cl721_501,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4140_502,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1107,zip_derived_cl32]) ).
thf(zip_derived_cl4145,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n4 @ n10 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl721,zip_derived_cl4140]) ).
thf(zip_derived_cl159,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_503,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_504,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl287,plain,
( ( sum @ n10 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl360_505,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8825,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n4 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4145,zip_derived_cl159,zip_derived_cl58,zip_derived_cl158,zip_derived_cl57,zip_derived_cl287,zip_derived_cl360]) ).
thf(zip_derived_cl4_506,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('92',plain,
( ( sk_ != n4 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8825,zip_derived_cl4]) ).
thf(zip_derived_cl720_507,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4140_508,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1107,zip_derived_cl32]) ).
thf(zip_derived_cl4144,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n3 @ n10 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl720,zip_derived_cl4140]) ).
thf(zip_derived_cl138,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_509,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_510,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl338,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8823,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n3 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4144,zip_derived_cl138,zip_derived_cl57,zip_derived_cl137,zip_derived_cl56,zip_derived_cl286,zip_derived_cl338]) ).
thf(zip_derived_cl6_511,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('93',plain,
( ( sk__1 != n10 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8823,zip_derived_cl6]) ).
thf(zip_derived_cl718_512,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4140_513,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1107,zip_derived_cl32]) ).
thf(zip_derived_cl4142,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n1 @ n10 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl718,zip_derived_cl4140]) ).
thf(zip_derived_cl96,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_514,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95_515,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_516,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl284_517,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl315,plain,
( ( sum @ n11 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8817,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n1 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4142,zip_derived_cl96,zip_derived_cl55,zip_derived_cl95,zip_derived_cl54,zip_derived_cl284,zip_derived_cl315]) ).
thf(zip_derived_cl10_518,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('94',plain,
( ( sk__1 != n10 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8817,zip_derived_cl10]) ).
thf(zip_derived_cl748_519,plain,
( ( sk__1 = n10 )
<= ( sk__1 = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl737_520,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl21_521,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_cl1062,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n20 @ sk__1 ) ) ) ) )
<= ( sk_ = n20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl21]) ).
thf(zip_derived_cl3986,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ ( succ @ n10 ) ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n20 @ n10 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl748,zip_derived_cl1062]) ).
thf(zip_derived_cl32_522,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4049,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n20 @ n10 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3986,zip_derived_cl32]) ).
thf(zip_derived_cl495,plain,
( ( sum @ n20 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_523,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl494,plain,
( ( sum @ n20 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_524,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl271,plain,
( ( sum @ n9 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8759,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n20 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4049,zip_derived_cl495,zip_derived_cl53,zip_derived_cl494,zip_derived_cl52,zip_derived_cl282,zip_derived_cl271]) ).
thf(zip_derived_cl14_525,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('95',plain,
( ( sk__1 != n10 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8759,zip_derived_cl14]) ).
thf(zip_derived_cl748_526,plain,
( ( sk__1 = n10 )
<= ( sk__1 = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl736_527,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl21_528,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_cl1061,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n19 @ sk__1 ) ) ) ) )
<= ( sk_ = n19 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl21]) ).
thf(zip_derived_cl3886,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ ( succ @ n10 ) ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n19 @ n10 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl748,zip_derived_cl1061]) ).
thf(zip_derived_cl32_529,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3949,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n19 @ n10 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3886,zip_derived_cl32]) ).
thf(zip_derived_cl474_530,plain,
( ( sum @ n19 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_531,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl473,plain,
( ( sum @ n19 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_532,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl281,plain,
( ( sum @ n10 @ n7 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl249_533,plain,
( ( sum @ n8 @ n17 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8685,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n19 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3949,zip_derived_cl474,zip_derived_cl52,zip_derived_cl473,zip_derived_cl51,zip_derived_cl281,zip_derived_cl249]) ).
thf(zip_derived_cl16_534,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('96',plain,
( ( sk__1 != n10 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8685,zip_derived_cl16]) ).
thf(zip_derived_cl748_535,plain,
( ( sk__1 = n10 )
<= ( sk__1 = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl735_536,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl21_537,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_cl1060,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n18 @ sk__1 ) ) ) ) )
<= ( sk_ = n18 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl21]) ).
thf(zip_derived_cl3790,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ ( succ @ n10 ) ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n18 @ n10 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl748,zip_derived_cl1060]) ).
thf(zip_derived_cl32_538,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3853,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n18 @ n10 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3790,zip_derived_cl32]) ).
thf(zip_derived_cl453,plain,
( ( sum @ n18 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_539,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl452_540,plain,
( ( sum @ n18 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_541,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227_542,plain,
( ( sum @ n7 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8613,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n18 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3853,zip_derived_cl453,zip_derived_cl51,zip_derived_cl452,zip_derived_cl50,zip_derived_cl280,zip_derived_cl227]) ).
thf(zip_derived_cl18_543,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('97',plain,
( ( sk__1 != n10 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8613,zip_derived_cl18]) ).
thf(zip_derived_cl748_544,plain,
( ( sk__1 = n10 )
<= ( sk__1 = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl734_545,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl21_546,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_cl1059,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n17 @ sk__1 ) ) ) ) )
<= ( sk_ = n17 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl21]) ).
thf(zip_derived_cl3694,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ ( succ @ n10 ) ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n17 @ n10 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl748,zip_derived_cl1059]) ).
thf(zip_derived_cl32_547,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3757,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n17 @ n10 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3694,zip_derived_cl32]) ).
thf(zip_derived_cl432_548,plain,
( ( sum @ n17 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_549,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl431_550,plain,
( ( sum @ n17 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_551,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl279,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl205_552,plain,
( ( sum @ n6 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8541,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n17 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3757,zip_derived_cl432,zip_derived_cl50,zip_derived_cl431,zip_derived_cl49,zip_derived_cl279,zip_derived_cl205]) ).
thf(zip_derived_cl20_553,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('98',plain,
( ( sk__1 != n10 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8541,zip_derived_cl20]) ).
thf(zip_derived_cl748_554,plain,
( ( sk__1 = n10 )
<= ( sk__1 = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl733_555,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl21_556,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_cl1058,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n16 @ sk__1 ) ) ) ) )
<= ( sk_ = n16 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl21]) ).
thf(zip_derived_cl3598,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ ( succ @ n10 ) ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n16 @ n10 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl748,zip_derived_cl1058]) ).
thf(zip_derived_cl32_557,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3661,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n16 @ n10 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3598,zip_derived_cl32]) ).
thf(zip_derived_cl411_558,plain,
( ( sum @ n16 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_559,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl410_560,plain,
( ( sum @ n16 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_561,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278_562,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl183_563,plain,
( ( sum @ n5 @ n14 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8469,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n16 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3661,zip_derived_cl411,zip_derived_cl49,zip_derived_cl410,zip_derived_cl48,zip_derived_cl278,zip_derived_cl183]) ).
thf(zip_derived_cl1_564,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('99',plain,
( ( sk__1 != n10 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8469,zip_derived_cl1]) ).
thf(zip_derived_cl718_565,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4629_566,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4631,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n1 @ n20 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl718,zip_derived_cl4629]) ).
thf(zip_derived_cl85_567,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_568,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl105_569,plain,
( ( sum @ n1 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_570,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl504,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_571,plain,
( ( sum @ n0 @ n19 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9741,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n1 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4631,zip_derived_cl85,zip_derived_cl44,zip_derived_cl105,zip_derived_cl43,zip_derived_cl504,zip_derived_cl83]) ).
thf(zip_derived_cl1_572,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('100',plain,
( ( sk_ != n1 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9741,zip_derived_cl1]) ).
thf(zip_derived_cl718_573,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4582_574,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4584,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n1 @ n19 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl718,zip_derived_cl4582]) ).
thf(zip_derived_cl105_575,plain,
( ( sum @ n1 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_576,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104,plain,
( ( sum @ n1 @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_577,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl501_578,plain,
( ( sum @ n20 @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9649,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n1 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4584,zip_derived_cl105,zip_derived_cl43,zip_derived_cl104,zip_derived_cl63,zip_derived_cl482,zip_derived_cl501]) ).
thf(zip_derived_cl4_579,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('101',plain,
( ( sk_ != n1 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9649,zip_derived_cl4]) ).
thf(zip_derived_cl718_580,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4537_581,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4539,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n1 @ n18 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl718,zip_derived_cl4537]) ).
thf(zip_derived_cl104_582,plain,
( ( sum @ n1 @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_583,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103_584,plain,
( ( sum @ n1 @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_585,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl460,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl478_586,plain,
( ( sum @ n19 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9557,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n1 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4539,zip_derived_cl104,zip_derived_cl63,zip_derived_cl103,zip_derived_cl62,zip_derived_cl460,zip_derived_cl478]) ).
thf(zip_derived_cl7_587,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('102',plain,
( ( sk_ != n1 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9557,zip_derived_cl7]) ).
thf(zip_derived_cl718_588,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4471_589,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4473,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n1 @ n17 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl718,zip_derived_cl4471]) ).
thf(zip_derived_cl103_590,plain,
( ( sum @ n1 @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_591,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102_592,plain,
( ( sum @ n1 @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_593,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438_594,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl455,plain,
( ( sum @ n18 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9465,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n1 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4473,zip_derived_cl103,zip_derived_cl62,zip_derived_cl102,zip_derived_cl61,zip_derived_cl438,zip_derived_cl455]) ).
thf(zip_derived_cl10_595,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('103',plain,
( ( sk_ != n1 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9465,zip_derived_cl10]) ).
thf(zip_derived_cl718_596,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4375_597,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4377,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n1 @ n15 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl718,zip_derived_cl4375]) ).
thf(zip_derived_cl101_598,plain,
( ( sum @ n1 @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_599,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100_600,plain,
( ( sum @ n1 @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_601,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl394_602,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl409_603,plain,
( ( sum @ n16 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9279,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n1 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4377,zip_derived_cl101,zip_derived_cl60,zip_derived_cl100,zip_derived_cl59,zip_derived_cl394,zip_derived_cl409]) ).
thf(zip_derived_cl16_604,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('104',plain,
( ( sk_ != n1 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9279,zip_derived_cl16]) ).
thf(zip_derived_cl718_605,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4280_606,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4282,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n1 @ n13 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl718,zip_derived_cl4280]) ).
thf(zip_derived_cl99_607,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_608,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_609,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl350,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl363_610,plain,
( ( sum @ n14 @ n5 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9095,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n1 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4282,zip_derived_cl99,zip_derived_cl58,zip_derived_cl98,zip_derived_cl57,zip_derived_cl350,zip_derived_cl363]) ).
thf(zip_derived_cl1_611,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('105',plain,
( ( sk_ != n1 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9095,zip_derived_cl1]) ).
thf(zip_derived_cl718_612,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4235_613,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4237,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n1 @ n12 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl718,zip_derived_cl4235]) ).
thf(zip_derived_cl98_614,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_615,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_616,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl328,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl340,plain,
( ( sum @ n13 @ n3 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9003,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n1 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4237,zip_derived_cl98,zip_derived_cl57,zip_derived_cl97,zip_derived_cl56,zip_derived_cl328,zip_derived_cl340]) ).
thf(zip_derived_cl4_617,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('106',plain,
( ( sk_ != n1 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9003,zip_derived_cl4]) ).
thf(zip_derived_cl718_618,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4188_619,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl33]) ).
thf(zip_derived_cl4190,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n1 @ n11 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl718,zip_derived_cl4188]) ).
thf(zip_derived_cl97_620,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_621,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_622,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_623,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl306_624,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl317,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8911,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n1 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4190,zip_derived_cl97,zip_derived_cl56,zip_derived_cl96,zip_derived_cl55,zip_derived_cl306,zip_derived_cl317]) ).
thf(zip_derived_cl7_625,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('107',plain,
( ( sk_ != n1 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8911,zip_derived_cl7]) ).
thf(zip_derived_cl718_626,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl3261_627,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3263,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_cl718,zip_derived_cl3261]) ).
thf(zip_derived_cl95_628,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_629,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_630,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl292_631,plain,
( ( sum @ n10 @ n18 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8157,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n1 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3263,zip_derived_cl95,zip_derived_cl54,zip_derived_cl94,zip_derived_cl53,zip_derived_cl262,zip_derived_cl292]) ).
thf(zip_derived_cl13_632,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('108',plain,
( ( sk_ != n1 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8157,zip_derived_cl13]) ).
thf(zip_derived_cl718_633,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2945_634,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2947,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_cl718,zip_derived_cl2945]) ).
thf(zip_derived_cl94_635,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_636,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_637,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl240,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl269_638,plain,
( ( sum @ n9 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7805,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n1 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2947,zip_derived_cl94,zip_derived_cl53,zip_derived_cl93,zip_derived_cl52,zip_derived_cl240,zip_derived_cl269]) ).
thf(zip_derived_cl16_639,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('109',plain,
( ( sk_ != n1 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7805,zip_derived_cl16]) ).
thf(zip_derived_cl718_640,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2641_641,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2643,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_cl718,zip_derived_cl2641]) ).
thf(zip_derived_cl93_642,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_643,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_644,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl246_645,plain,
( ( sum @ n8 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7376,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n1 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2643,zip_derived_cl93,zip_derived_cl52,zip_derived_cl92,zip_derived_cl51,zip_derived_cl218,zip_derived_cl246]) ).
thf(zip_derived_cl19_646,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('110',plain,
( ( sk_ != n1 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7376,zip_derived_cl19]) ).
thf(zip_derived_cl718_647,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2329_648,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2331,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_cl718,zip_derived_cl2329]) ).
thf(zip_derived_cl92_649,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_650,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_651,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl196,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl223,plain,
( ( sum @ n7 @ n12 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7041,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n1 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2331,zip_derived_cl92,zip_derived_cl51,zip_derived_cl91,zip_derived_cl50,zip_derived_cl196,zip_derived_cl223]) ).
thf(zip_derived_cl1_652,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('111',plain,
( ( sk_ != n1 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7041,zip_derived_cl1]) ).
thf(zip_derived_cl718_653,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2018_654,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2029,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_cl718,zip_derived_cl2018]) ).
thf(zip_derived_cl91_655,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_656,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_657,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_658,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6789,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n1 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2029,zip_derived_cl91,zip_derived_cl50,zip_derived_cl90,zip_derived_cl49,zip_derived_cl174,zip_derived_cl200]) ).
thf(zip_derived_cl4_659,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('112',plain,
( ( sk_ != n1 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6789,zip_derived_cl4]) ).
thf(zip_derived_cl718_660,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1784_661,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1795,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_cl718,zip_derived_cl1784]) ).
thf(zip_derived_cl90_662,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_663,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_664,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl152,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl177,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6685,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n1 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1795,zip_derived_cl90,zip_derived_cl49,zip_derived_cl89,zip_derived_cl48,zip_derived_cl152,zip_derived_cl177]) ).
thf(zip_derived_cl7_665,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('113',plain,
( ( sk_ != n1 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6685,zip_derived_cl7]) ).
thf(zip_derived_cl718_666,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1577_667,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1585,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_cl718,zip_derived_cl1577]) ).
thf(zip_derived_cl89_668,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_669,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_670,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_671,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6620,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n1 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1585,zip_derived_cl89,zip_derived_cl48,zip_derived_cl88,zip_derived_cl47,zip_derived_cl130,zip_derived_cl154]) ).
thf(zip_derived_cl10_672,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('114',plain,
( ( sk_ != n1 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6620,zip_derived_cl10]) ).
thf(zip_derived_cl718_673,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1409_674,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1412,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_cl718,zip_derived_cl1409]) ).
thf(zip_derived_cl88_675,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_676,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_677,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_678,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_679,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl131_680,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6567,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n1 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1412,zip_derived_cl88,zip_derived_cl47,zip_derived_cl87,zip_derived_cl46,zip_derived_cl108,zip_derived_cl131]) ).
thf(zip_derived_cl13_681,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('115',plain,
( ( sk_ != n1 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6567,zip_derived_cl13]) ).
thf(zip_derived_cl718_682,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1364_683,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1366,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_cl718,zip_derived_cl1364]) ).
thf(zip_derived_cl87_684,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_685,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_686,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_687,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_688,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_689,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6530,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n1 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1366,zip_derived_cl87,zip_derived_cl46,zip_derived_cl86,zip_derived_cl45,zip_derived_cl86,zip_derived_cl108]) ).
thf(zip_derived_cl16_690,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('116',plain,
( ( sk_ != n1 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6530,zip_derived_cl16]) ).
thf(zip_derived_cl718_691,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1319_692,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1321,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_cl718,zip_derived_cl1319]) ).
thf(zip_derived_cl86_693,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_694,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_695,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_696,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_697,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_698,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6492,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n1 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1321,zip_derived_cl86,zip_derived_cl45,zip_derived_cl85,zip_derived_cl44,zip_derived_cl64,zip_derived_cl85]) ).
thf(zip_derived_cl19_699,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('117',plain,
( ( sk_ != n1 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6492,zip_derived_cl19]) ).
thf(zip_derived_cl485,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_700,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1319_701,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1340,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n20 @ n0 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl1319]) ).
thf(zip_derived_cl7855,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n0 @ ( pred @ ( sum @ n20 @ n0 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl485,zip_derived_cl1340]) ).
thf(zip_derived_cl43_702,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl484_703,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_704,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_705,plain,
( ( sum @ n0 @ n19 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7860,plain,
( ( sk__2
= ( sum @ n20 @ n19 ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7855,zip_derived_cl43,zip_derived_cl484,zip_derived_cl63,zip_derived_cl83]) ).
thf(zip_derived_cl503_706,plain,
( ( sum @ n20 @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7999,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n20 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7860,zip_derived_cl503]) ).
thf(zip_derived_cl2_707,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('118',plain,
( ( sk__1 != n0 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7999,zip_derived_cl2]) ).
thf(zip_derived_cl464,plain,
( ( sum @ n19 @ n1 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_708,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1319_709,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1339,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n19 @ n0 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl1319]) ).
thf(zip_derived_cl7691,plain,
( ( sk__2
= ( sum @ ( pred @ n20 ) @ ( sum @ n0 @ ( pred @ ( sum @ n19 @ n0 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl464,zip_derived_cl1339]) ).
thf(zip_derived_cl63_710,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl463,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_711,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_712,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7696,plain,
( ( sk__2
= ( sum @ n19 @ n18 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7691,zip_derived_cl63,zip_derived_cl463,zip_derived_cl62,zip_derived_cl82]) ).
thf(zip_derived_cl481_713,plain,
( ( sum @ n19 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7823,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n19 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7696,zip_derived_cl481]) ).
thf(zip_derived_cl4_714,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('119',plain,
( ( sk__1 != n0 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7823,zip_derived_cl4]) ).
thf(zip_derived_cl443,plain,
( ( sum @ n18 @ n1 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_715,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1319_716,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1338,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n18 @ n0 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl1319]) ).
thf(zip_derived_cl7527,plain,
( ( sk__2
= ( sum @ ( pred @ n19 ) @ ( sum @ n0 @ ( pred @ ( sum @ n18 @ n0 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl443,zip_derived_cl1338]) ).
thf(zip_derived_cl62_717,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442_718,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_719,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_720,plain,
( ( sum @ n0 @ n17 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7532,plain,
( ( sk__2
= ( sum @ n18 @ n17 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7527,zip_derived_cl62,zip_derived_cl442,zip_derived_cl61,zip_derived_cl81]) ).
thf(zip_derived_cl459_721,plain,
( ( sum @ n18 @ n17 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7648,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n18 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7532,zip_derived_cl459]) ).
thf(zip_derived_cl6_722,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('120',plain,
( ( sk__1 != n0 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7648,zip_derived_cl6]) ).
thf(zip_derived_cl422,plain,
( ( sum @ n17 @ n1 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_723,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1319_724,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1337,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n17 @ n0 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl1319]) ).
thf(zip_derived_cl7404,plain,
( ( sk__2
= ( sum @ ( pred @ n18 ) @ ( sum @ n0 @ ( pred @ ( sum @ n17 @ n0 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl422,zip_derived_cl1337]) ).
thf(zip_derived_cl61_725,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl421,plain,
( ( sum @ n17 @ n0 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_726,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_727,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7409,plain,
( ( sk__2
= ( sum @ n17 @ n16 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7404,zip_derived_cl61,zip_derived_cl421,zip_derived_cl60,zip_derived_cl80]) ).
thf(zip_derived_cl437_728,plain,
( ( sum @ n17 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7485,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n17 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7409,zip_derived_cl437]) ).
thf(zip_derived_cl8_729,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('121',plain,
( ( sk__1 != n0 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7485,zip_derived_cl8]) ).
thf(zip_derived_cl401_730,plain,
( ( sum @ n16 @ n1 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_731,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1319_732,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1336,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n16 @ n0 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl1319]) ).
thf(zip_derived_cl7263,plain,
( ( sk__2
= ( sum @ ( pred @ n17 ) @ ( sum @ n0 @ ( pred @ ( sum @ n16 @ n0 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl401,zip_derived_cl1336]) ).
thf(zip_derived_cl60_733,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl400_734,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_735,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_736,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7266,plain,
( ( sk__2
= ( sum @ n16 @ n15 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7263,zip_derived_cl60,zip_derived_cl400,zip_derived_cl59,zip_derived_cl79]) ).
thf(zip_derived_cl415_737,plain,
( ( sum @ n16 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7340,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n16 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7266,zip_derived_cl415]) ).
thf(zip_derived_cl10_738,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('122',plain,
( ( sk__1 != n0 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7340,zip_derived_cl10]) ).
thf(zip_derived_cl380,plain,
( ( sum @ n15 @ n1 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_739,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1319_740,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1335,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n15 @ n0 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl1319]) ).
thf(zip_derived_cl7131,plain,
( ( sk__2
= ( sum @ ( pred @ n16 ) @ ( sum @ n0 @ ( pred @ ( sum @ n15 @ n0 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl380,zip_derived_cl1335]) ).
thf(zip_derived_cl59_741,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl379,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_742,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_743,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7133,plain,
( ( sk__2
= ( sum @ n15 @ n14 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7131,zip_derived_cl59,zip_derived_cl379,zip_derived_cl58,zip_derived_cl78]) ).
thf(zip_derived_cl393_744,plain,
( ( sum @ n15 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7191,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n15 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7133,zip_derived_cl393]) ).
thf(zip_derived_cl12_745,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('123',plain,
( ( sk__1 != n0 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7191,zip_derived_cl12]) ).
thf(zip_derived_cl359_746,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731_747,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1319_748,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1334,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n14 @ n0 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl1319]) ).
thf(zip_derived_cl7028,plain,
( ( sk__2
= ( sum @ ( pred @ n15 ) @ ( sum @ n0 @ ( pred @ ( sum @ n14 @ n0 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl359,zip_derived_cl1334]) ).
thf(zip_derived_cl58_749,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl358_750,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_751,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_752,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7030,plain,
( ( sk__2
= ( sum @ n14 @ n13 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7028,zip_derived_cl58,zip_derived_cl358,zip_derived_cl57,zip_derived_cl77]) ).
thf(zip_derived_cl371_753,plain,
( ( sum @ n14 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7085,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n14 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7030,zip_derived_cl371]) ).
thf(zip_derived_cl14_754,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('124',plain,
( ( sk__1 != n0 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7085,zip_derived_cl14]) ).
thf(zip_derived_cl338_755,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730_756,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1319_757,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1333,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n13 @ n0 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl1319]) ).
thf(zip_derived_cl6901,plain,
( ( sk__2
= ( sum @ ( pred @ n14 ) @ ( sum @ n0 @ ( pred @ ( sum @ n13 @ n0 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl338,zip_derived_cl1333]) ).
thf(zip_derived_cl57_758,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl337,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_759,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_760,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6904,plain,
( ( sk__2
= ( sum @ n13 @ n12 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6901,zip_derived_cl57,zip_derived_cl337,zip_derived_cl56,zip_derived_cl76]) ).
thf(zip_derived_cl349_761,plain,
( ( sum @ n13 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6958,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n13 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6904,zip_derived_cl349]) ).
thf(zip_derived_cl16_762,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('125',plain,
( ( sk__1 != n0 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6958,zip_derived_cl16]) ).
thf(zip_derived_cl317_763,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729_764,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1319_765,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1332,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n12 @ n0 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl1319]) ).
thf(zip_derived_cl6808,plain,
( ( sk__2
= ( sum @ ( pred @ n13 ) @ ( sum @ n0 @ ( pred @ ( sum @ n12 @ n0 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl317,zip_derived_cl1332]) ).
thf(zip_derived_cl56_766,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl316_767,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_768,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_769,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6811,plain,
( ( sk__2
= ( sum @ n12 @ n11 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6808,zip_derived_cl56,zip_derived_cl316,zip_derived_cl55,zip_derived_cl75]) ).
thf(zip_derived_cl327_770,plain,
( ( sum @ n12 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6847,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n12 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6811,zip_derived_cl327]) ).
thf(zip_derived_cl18_771,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('126',plain,
( ( sk__1 != n0 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6847,zip_derived_cl18]) ).
thf(zip_derived_cl296,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728_772,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1319_773,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1331,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n11 @ n0 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl1319]) ).
thf(zip_derived_cl6705,plain,
( ( sk__2
= ( sum @ ( pred @ n12 ) @ ( sum @ n0 @ ( pred @ ( sum @ n11 @ n0 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl296,zip_derived_cl1331]) ).
thf(zip_derived_cl55_774,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl295_775,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_776,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_777,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6708,plain,
( ( sk__2
= ( sum @ n11 @ n10 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6705,zip_derived_cl55,zip_derived_cl295,zip_derived_cl54,zip_derived_cl74]) ).
thf(zip_derived_cl305_778,plain,
( ( sum @ n11 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6747,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n11 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6708,zip_derived_cl305]) ).
thf(zip_derived_cl20_779,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('127',plain,
( ( sk__1 != n0 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6747,zip_derived_cl20]) ).
thf(zip_derived_cl275_780,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_781,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1319_782,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1330,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_cl727,zip_derived_cl1319]) ).
thf(zip_derived_cl6637,plain,
( ( sk__2
= ( sum @ ( pred @ n11 ) @ ( sum @ n0 @ ( pred @ ( sum @ n10 @ n0 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl275,zip_derived_cl1330]) ).
thf(zip_derived_cl54_783,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl274_784,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_785,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_786,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6640,plain,
( ( sk__2
= ( sum @ n10 @ n9 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6637,zip_derived_cl54,zip_derived_cl274,zip_derived_cl53,zip_derived_cl73]) ).
thf(zip_derived_cl283_787,plain,
( ( sum @ n10 @ n9 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6671,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n10 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6640,zip_derived_cl283]) ).
thf(zip_derived_cl1_788,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('128',plain,
( ( sk__1 != n0 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6671,zip_derived_cl1]) ).
thf(zip_derived_cl254_789,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_790,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1319_791,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1329,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_cl726,zip_derived_cl1319]) ).
thf(zip_derived_cl6582,plain,
( ( sk__2
= ( sum @ ( pred @ n10 ) @ ( sum @ n0 @ ( pred @ ( sum @ n9 @ n0 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl254,zip_derived_cl1329]) ).
thf(zip_derived_cl53_792,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl253,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_793,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_794,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6584,plain,
( ( sk__2
= ( sum @ n9 @ n8 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6582,zip_derived_cl53,zip_derived_cl253,zip_derived_cl52,zip_derived_cl72]) ).
thf(zip_derived_cl261_795,plain,
( ( sum @ n9 @ n8 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6597,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n9 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6584,zip_derived_cl261]) ).
thf(zip_derived_cl3_796,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('129',plain,
( ( sk_ != n9 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6597,zip_derived_cl3]) ).
thf(zip_derived_cl233,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725_797,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1319_798,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1328,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_cl725,zip_derived_cl1319]) ).
thf(zip_derived_cl6524,plain,
( ( sk__2
= ( sum @ ( pred @ n9 ) @ ( sum @ n0 @ ( pred @ ( sum @ n8 @ n0 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl233,zip_derived_cl1328]) ).
thf(zip_derived_cl52_799,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232_800,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_801,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_802,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6526,plain,
( ( sk__2
= ( sum @ n8 @ n7 ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6524,zip_derived_cl52,zip_derived_cl232,zip_derived_cl51,zip_derived_cl71]) ).
thf(zip_derived_cl239_803,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6544,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n8 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6526,zip_derived_cl239]) ).
thf(zip_derived_cl5_804,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('130',plain,
( ( sk__1 != n0 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6544,zip_derived_cl5]) ).
thf(zip_derived_cl724_805,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1319_806,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1327,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_cl724,zip_derived_cl1319]) ).
thf(zip_derived_cl212_807,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_808,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl211,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_809,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_810,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl217_811,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6504,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n7 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1327,zip_derived_cl212,zip_derived_cl51,zip_derived_cl211,zip_derived_cl50,zip_derived_cl70,zip_derived_cl217]) ).
thf(zip_derived_cl7_812,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('131',plain,
( ( sk__1 != n0 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6504,zip_derived_cl7]) ).
thf(zip_derived_cl723_813,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1319_814,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1326,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_cl723,zip_derived_cl1319]) ).
thf(zip_derived_cl191,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_815,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl190_816,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_817,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_818,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl195_819,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6502,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n6 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1326,zip_derived_cl191,zip_derived_cl50,zip_derived_cl190,zip_derived_cl49,zip_derived_cl69,zip_derived_cl195]) ).
thf(zip_derived_cl9_820,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('132',plain,
( ( sk__1 != n0 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6502,zip_derived_cl9]) ).
thf(zip_derived_cl722_821,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1319_822,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1325,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_cl722,zip_derived_cl1319]) ).
thf(zip_derived_cl170,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_823,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl169,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_824,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_825,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl173_826,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6500,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n5 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1325,zip_derived_cl170,zip_derived_cl49,zip_derived_cl169,zip_derived_cl48,zip_derived_cl68,zip_derived_cl173]) ).
thf(zip_derived_cl11_827,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('133',plain,
( ( sk__1 != n0 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6500,zip_derived_cl11]) ).
thf(zip_derived_cl721_828,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1319_829,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1324,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_cl721,zip_derived_cl1319]) ).
thf(zip_derived_cl149,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_830,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_831,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_832,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl151_833,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6498,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n4 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1324,zip_derived_cl149,zip_derived_cl48,zip_derived_cl148,zip_derived_cl47,zip_derived_cl67,zip_derived_cl151]) ).
thf(zip_derived_cl13_834,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('134',plain,
( ( sk_ != n4 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6498,zip_derived_cl13]) ).
thf(zip_derived_cl720_835,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1319_836,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl22]) ).
thf(zip_derived_cl1323,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_cl720,zip_derived_cl1319]) ).
thf(zip_derived_cl128,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_837,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_838,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_839,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl129_840,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6496,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n3 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1323,zip_derived_cl128,zip_derived_cl47,zip_derived_cl127,zip_derived_cl46,zip_derived_cl66,zip_derived_cl129]) ).
thf(zip_derived_cl15_841,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('135',plain,
( ( sk__1 != n0 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6496,zip_derived_cl15]) ).
thf(zip_derived_cl737_842,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4629_843,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4650,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n20 @ n20 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl4629]) ).
thf(zip_derived_cl484_844,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_845,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl504_846,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_847,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl502_848,plain,
( ( sum @ n20 @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_849,plain,
( ( sum @ n19 @ n17 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9783,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n20 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4650,zip_derived_cl484,zip_derived_cl63,zip_derived_cl504,zip_derived_cl62,zip_derived_cl502,zip_derived_cl480]) ).
thf(zip_derived_cl5_850,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('136',plain,
( ( sk_ != n20 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9783,zip_derived_cl5]) ).
thf(zip_derived_cl737_851,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4582_852,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4603,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n20 @ n19 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl4582]) ).
thf(zip_derived_cl504_853,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_854,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl503_855,plain,
( ( sum @ n20 @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_856,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_857,plain,
( ( sum @ n19 @ n17 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl457_858,plain,
( ( sum @ n18 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9691,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n20 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4603,zip_derived_cl504,zip_derived_cl62,zip_derived_cl503,zip_derived_cl61,zip_derived_cl480,zip_derived_cl457]) ).
thf(zip_derived_cl8_859,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('137',plain,
( ( sk_ != n20 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9691,zip_derived_cl8]) ).
thf(zip_derived_cl737_860,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4537_861,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4558,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n20 @ n18 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl4537]) ).
thf(zip_derived_cl503_862,plain,
( ( sum @ n20 @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_863,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl502_864,plain,
( ( sum @ n20 @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_865,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl458_866,plain,
( ( sum @ n18 @ n16 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434,plain,
( ( sum @ n17 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9599,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n20 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4558,zip_derived_cl503,zip_derived_cl61,zip_derived_cl502,zip_derived_cl60,zip_derived_cl458,zip_derived_cl434]) ).
thf(zip_derived_cl11_867,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('138',plain,
( ( sk_ != n20 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9599,zip_derived_cl11]) ).
thf(zip_derived_cl737_868,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4471_869,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4492,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n20 @ n17 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl4471]) ).
thf(zip_derived_cl502_870,plain,
( ( sum @ n20 @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_871,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl501_872,plain,
( ( sum @ n20 @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_873,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436_874,plain,
( ( sum @ n17 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl411_875,plain,
( ( sum @ n16 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9507,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n20 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4492,zip_derived_cl502,zip_derived_cl60,zip_derived_cl501,zip_derived_cl59,zip_derived_cl436,zip_derived_cl411]) ).
thf(zip_derived_cl14_876,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('139',plain,
( ( sk_ != n20 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9507,zip_derived_cl14]) ).
thf(zip_derived_cl737_877,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4375_878,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4396,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n20 @ n15 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl4375]) ).
thf(zip_derived_cl500_879,plain,
( ( sum @ n20 @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_880,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl499_881,plain,
( ( sum @ n20 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_882,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl392,plain,
( ( sum @ n15 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl365_883,plain,
( ( sum @ n14 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9321,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n20 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4396,zip_derived_cl500,zip_derived_cl58,zip_derived_cl499,zip_derived_cl57,zip_derived_cl392,zip_derived_cl365]) ).
thf(zip_derived_cl20_884,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('140',plain,
( ( sk_ != n20 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9321,zip_derived_cl20]) ).
thf(zip_derived_cl737_885,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4280_886,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4301,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n20 @ n13 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl4280]) ).
thf(zip_derived_cl498_887,plain,
( ( sum @ n20 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_888,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl497,plain,
( ( sum @ n20 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_889,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl348_890,plain,
( ( sum @ n13 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl319,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9137,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n20 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4301,zip_derived_cl498,zip_derived_cl56,zip_derived_cl497,zip_derived_cl55,zip_derived_cl348,zip_derived_cl319]) ).
thf(zip_derived_cl5_891,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('141',plain,
( ( sk_ != n20 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9137,zip_derived_cl5]) ).
thf(zip_derived_cl737_892,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4235_893,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4256,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n20 @ n12 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl4235]) ).
thf(zip_derived_cl497_894,plain,
( ( sum @ n20 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_895,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl496_896,plain,
( ( sum @ n20 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_897,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_898,plain,
( ( sum @ n12 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl296_899,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9045,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n20 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4256,zip_derived_cl497,zip_derived_cl55,zip_derived_cl496,zip_derived_cl54,zip_derived_cl326,zip_derived_cl296]) ).
thf(zip_derived_cl8_900,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('142',plain,
( ( sk_ != n20 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9045,zip_derived_cl8]) ).
thf(zip_derived_cl749_901,plain,
( ( sk__1 = n11 )
<= ( sk__1 = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl1062_902,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n20 @ sk__1 ) ) ) ) )
<= ( sk_ = n20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl21]) ).
thf(zip_derived_cl3987,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ ( succ @ n11 ) ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n20 @ n11 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl749,zip_derived_cl1062]) ).
thf(zip_derived_cl33_903,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4050,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n20 @ n11 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3987,zip_derived_cl33]) ).
thf(zip_derived_cl496_904,plain,
( ( sum @ n20 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_905,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl495_906,plain,
( ( sum @ n20 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_907,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl304,plain,
( ( sum @ n11 @ n9 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl294_908,plain,
( ( sum @ n10 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8761,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n20 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4050,zip_derived_cl496,zip_derived_cl54,zip_derived_cl495,zip_derived_cl53,zip_derived_cl304,zip_derived_cl294]) ).
thf(zip_derived_cl11_909,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('143',plain,
( ( sk_ != n20 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8761,zip_derived_cl11]) ).
thf(zip_derived_cl737_910,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl3261_911,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3282,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n20 @ n9 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl3261]) ).
thf(zip_derived_cl494_912,plain,
( ( sum @ n20 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_913,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl493,plain,
( ( sum @ n20 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_914,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl260,plain,
( ( sum @ n9 @ n7 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl248_915,plain,
( ( sum @ n8 @ n16 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8199,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n20 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3282,zip_derived_cl494,zip_derived_cl52,zip_derived_cl493,zip_derived_cl51,zip_derived_cl260,zip_derived_cl248]) ).
thf(zip_derived_cl17_916,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('144',plain,
( ( sk_ != n20 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8199,zip_derived_cl17]) ).
thf(zip_derived_cl493_917,plain,
( ( sum @ n20 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_918,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2945_919,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2966,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n20 @ n8 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl2945]) ).
thf(zip_derived_cl7939,plain,
( ( sk__2
= ( sum @ ( pred @ n8 ) @ ( sum @ n8 @ ( pred @ ( sum @ n20 @ n8 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl493,zip_derived_cl2966]) ).
thf(zip_derived_cl51_920,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl492_921,plain,
( ( sum @ n20 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_922,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl238,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl225_923,plain,
( ( sum @ n7 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7941,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n20 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7939,zip_derived_cl51,zip_derived_cl492,zip_derived_cl50,zip_derived_cl238,zip_derived_cl225]) ).
thf(zip_derived_cl20_924,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('145',plain,
( ( sk_ != n20 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7941,zip_derived_cl20]) ).
thf(zip_derived_cl492_925,plain,
( ( sum @ n20 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_926,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2641_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_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2662,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n20 @ n7 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl2641]) ).
thf(zip_derived_cl7929,plain,
( ( sk__2
= ( sum @ ( pred @ n7 ) @ ( sum @ n7 @ ( pred @ ( sum @ n20 @ n7 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl492,zip_derived_cl2662]) ).
thf(zip_derived_cl50_928,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl491,plain,
( ( sum @ n20 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_929,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl202,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7932,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n20 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7929,zip_derived_cl50,zip_derived_cl491,zip_derived_cl49,zip_derived_cl216,zip_derived_cl202]) ).
thf(zip_derived_cl2_930,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('146',plain,
( ( sk_ != n20 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7932,zip_derived_cl2]) ).
thf(zip_derived_cl491_931,plain,
( ( sum @ n20 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_932,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2329_933,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2350,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n20 @ n6 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl2329]) ).
thf(zip_derived_cl7918,plain,
( ( sk__2
= ( sum @ ( pred @ n6 ) @ ( sum @ n6 @ ( pred @ ( sum @ n20 @ n6 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl491,zip_derived_cl2350]) ).
thf(zip_derived_cl49_934,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl490,plain,
( ( sum @ n20 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_935,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl179_936,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7920,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n20 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7918,zip_derived_cl49,zip_derived_cl490,zip_derived_cl48,zip_derived_cl194,zip_derived_cl179]) ).
thf(zip_derived_cl5_937,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('147',plain,
( ( sk_ != n20 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7920,zip_derived_cl5]) ).
thf(zip_derived_cl490_938,plain,
( ( sum @ n20 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_939,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2018_940,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2048,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n20 @ n5 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl2018]) ).
thf(zip_derived_cl7908,plain,
( ( sk__2
= ( sum @ ( pred @ n5 ) @ ( sum @ n5 @ ( pred @ ( sum @ n20 @ n5 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl490,zip_derived_cl2048]) ).
thf(zip_derived_cl48_941,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl489,plain,
( ( sum @ n20 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_942,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7913,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n20 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7908,zip_derived_cl48,zip_derived_cl489,zip_derived_cl47,zip_derived_cl172,zip_derived_cl156]) ).
thf(zip_derived_cl8_943,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('148',plain,
( ( sk_ != n20 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7913,zip_derived_cl8]) ).
thf(zip_derived_cl489_944,plain,
( ( sum @ n20 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_945,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1784_946,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1814,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n20 @ n4 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl1784]) ).
thf(zip_derived_cl7896,plain,
( ( sk__2
= ( sum @ ( pred @ n4 ) @ ( sum @ n4 @ ( pred @ ( sum @ n20 @ n4 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl489,zip_derived_cl1814]) ).
thf(zip_derived_cl47_947,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488,plain,
( ( sum @ n20 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_948,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl150,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl133,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7900,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n20 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7896,zip_derived_cl47,zip_derived_cl488,zip_derived_cl46,zip_derived_cl150,zip_derived_cl133]) ).
thf(zip_derived_cl11_949,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('149',plain,
( ( sk_ != n20 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7900,zip_derived_cl11]) ).
thf(zip_derived_cl488_950,plain,
( ( sum @ n20 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_951,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1577_952,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1604,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n20 @ n3 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl1577]) ).
thf(zip_derived_cl7886,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n3 @ ( pred @ ( sum @ n20 @ n3 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl488,zip_derived_cl1604]) ).
thf(zip_derived_cl46_953,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl487,plain,
( ( sum @ n20 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_954,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_955,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_956,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7891,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n20 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7886,zip_derived_cl46,zip_derived_cl487,zip_derived_cl45,zip_derived_cl128,zip_derived_cl110]) ).
thf(zip_derived_cl14_957,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('150',plain,
( ( sk_ != n20 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7891,zip_derived_cl14]) ).
thf(zip_derived_cl487_958,plain,
( ( sum @ n20 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_959,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1409_960,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1431,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n20 @ n2 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl1409]) ).
thf(zip_derived_cl7874,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n2 @ ( pred @ ( sum @ n20 @ n2 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl487,zip_derived_cl1431]) ).
thf(zip_derived_cl45_961,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486,plain,
( ( sum @ n20 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_962,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106_963,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_964,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7878,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n20 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7874,zip_derived_cl45,zip_derived_cl486,zip_derived_cl44,zip_derived_cl106,zip_derived_cl87]) ).
thf(zip_derived_cl17_965,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('151',plain,
( ( sk_ != n20 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7878,zip_derived_cl17]) ).
thf(zip_derived_cl486_966,plain,
( ( sum @ n20 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_967,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1364_968,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1385,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n20 @ n1 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl1364]) ).
thf(zip_derived_cl7864,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n1 @ ( pred @ ( sum @ n20 @ n1 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl486,zip_derived_cl1385]) ).
thf(zip_derived_cl44_969,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl485_970,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_971,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl105_972,plain,
( ( sum @ n1 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_973,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7869,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n20 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7864,zip_derived_cl44,zip_derived_cl485,zip_derived_cl43,zip_derived_cl105,zip_derived_cl64]) ).
thf(zip_derived_cl20_974,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('152',plain,
( ( sk_ != n20 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7869,zip_derived_cl20]) ).
thf(zip_derived_cl736_975,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4629_976,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4649,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n19 @ n20 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl4629]) ).
thf(zip_derived_cl463_977,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_978,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl483_979,plain,
( ( sum @ n19 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_980,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl501_981,plain,
( ( sum @ n20 @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl458_982,plain,
( ( sum @ n18 @ n16 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9781,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n19 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4649,zip_derived_cl463,zip_derived_cl62,zip_derived_cl483,zip_derived_cl61,zip_derived_cl501,zip_derived_cl458]) ).
thf(zip_derived_cl7_983,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('153',plain,
( ( sk__1 != n20 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9781,zip_derived_cl7]) ).
thf(zip_derived_cl735_984,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4629_985,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4648,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n18 @ n20 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl4629]) ).
thf(zip_derived_cl442_986,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_987,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl462,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_988,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl500_989,plain,
( ( sum @ n20 @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436_990,plain,
( ( sum @ n17 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9779,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n18 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4648,zip_derived_cl442,zip_derived_cl61,zip_derived_cl462,zip_derived_cl60,zip_derived_cl500,zip_derived_cl436]) ).
thf(zip_derived_cl9_991,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('154',plain,
( ( sk__1 != n20 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9779,zip_derived_cl9]) ).
thf(zip_derived_cl734_992,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4629_993,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4647,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n17 @ n20 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl4629]) ).
thf(zip_derived_cl421_994,plain,
( ( sum @ n17 @ n0 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_995,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl441,plain,
( ( sum @ n17 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_996,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl499_997,plain,
( ( sum @ n20 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl414_998,plain,
( ( sum @ n16 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9777,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n17 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4647,zip_derived_cl421,zip_derived_cl60,zip_derived_cl441,zip_derived_cl59,zip_derived_cl499,zip_derived_cl414]) ).
thf(zip_derived_cl11_999,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('155',plain,
( ( sk__1 != n20 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9777,zip_derived_cl11]) ).
thf(zip_derived_cl733_1000,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4629_1001,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4646,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n16 @ n20 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl4629]) ).
thf(zip_derived_cl400_1002,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1003,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl420_1004,plain,
( ( sum @ n16 @ n20 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1005,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl498_1006,plain,
( ( sum @ n20 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl392_1007,plain,
( ( sum @ n15 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9775,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n16 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4646,zip_derived_cl400,zip_derived_cl59,zip_derived_cl420,zip_derived_cl58,zip_derived_cl498,zip_derived_cl392]) ).
thf(zip_derived_cl13_1008,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('156',plain,
( ( sk__1 != n20 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9775,zip_derived_cl13]) ).
thf(zip_derived_cl732_1009,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4629_1010,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4645,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n15 @ n20 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl4629]) ).
thf(zip_derived_cl379_1011,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1012,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl399,plain,
( ( sum @ n15 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1013,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl497_1014,plain,
( ( sum @ n20 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl370_1015,plain,
( ( sum @ n14 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9773,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n15 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4645,zip_derived_cl379,zip_derived_cl58,zip_derived_cl399,zip_derived_cl57,zip_derived_cl497,zip_derived_cl370]) ).
thf(zip_derived_cl15_1016,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('157',plain,
( ( sk__1 != n20 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9773,zip_derived_cl15]) ).
thf(zip_derived_cl731_1017,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4629_1018,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4644,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n14 @ n20 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl4629]) ).
thf(zip_derived_cl358_1019,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1020,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_1021,plain,
( ( sum @ n14 @ n20 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1022,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl496_1023,plain,
( ( sum @ n20 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl348_1024,plain,
( ( sum @ n13 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9771,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n14 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4644,zip_derived_cl358,zip_derived_cl57,zip_derived_cl378,zip_derived_cl56,zip_derived_cl496,zip_derived_cl348]) ).
thf(zip_derived_cl17_1025,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('158',plain,
( ( sk__1 != n20 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9771,zip_derived_cl17]) ).
thf(zip_derived_cl730_1026,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4629_1027,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4643,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n13 @ n20 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl4629]) ).
thf(zip_derived_cl337_1028,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1029,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl357,plain,
( ( sum @ n13 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1030,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl495_1031,plain,
( ( sum @ n20 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_1032,plain,
( ( sum @ n12 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9769,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n13 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4643,zip_derived_cl337,zip_derived_cl56,zip_derived_cl357,zip_derived_cl55,zip_derived_cl495,zip_derived_cl326]) ).
thf(zip_derived_cl19_1033,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('159',plain,
( ( sk__1 != n20 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9769,zip_derived_cl19]) ).
thf(zip_derived_cl729_1034,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4629_1035,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4642,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n12 @ n20 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl4629]) ).
thf(zip_derived_cl316_1036,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1037,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl336,plain,
( ( sum @ n12 @ n20 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1038,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl494_1039,plain,
( ( sum @ n20 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl304_1040,plain,
( ( sum @ n11 @ n9 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9767,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n12 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4642,zip_derived_cl316,zip_derived_cl55,zip_derived_cl336,zip_derived_cl54,zip_derived_cl494,zip_derived_cl304]) ).
thf(zip_derived_cl0_1041,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('160',plain,
( ( sk__1 != n20 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9767,zip_derived_cl0]) ).
thf(zip_derived_cl728_1042,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4629_1043,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4641,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n11 @ n20 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl4629]) ).
thf(zip_derived_cl295_1044,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1045,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl315_1046,plain,
( ( sum @ n11 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1047,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl493_1048,plain,
( ( sum @ n20 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282_1049,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9763,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n11 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4641,zip_derived_cl295,zip_derived_cl54,zip_derived_cl315,zip_derived_cl53,zip_derived_cl493,zip_derived_cl282]) ).
thf(zip_derived_cl2_1050,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('161',plain,
( ( sk__1 != n20 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9763,zip_derived_cl2]) ).
thf(zip_derived_cl727_1051,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4629_1052,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4640,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n10 @ n20 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl4629]) ).
thf(zip_derived_cl274_1053,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1054,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl294_1055,plain,
( ( sum @ n10 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_1056,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl492_1057,plain,
( ( sum @ n20 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl260_1058,plain,
( ( sum @ n9 @ n7 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9761,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n10 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4640,zip_derived_cl274,zip_derived_cl53,zip_derived_cl294,zip_derived_cl52,zip_derived_cl492,zip_derived_cl260]) ).
thf(zip_derived_cl4_1059,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('162',plain,
( ( sk__1 != n20 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9761,zip_derived_cl4]) ).
thf(zip_derived_cl726_1060,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4629_1061,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4639,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n9 @ n20 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl726,zip_derived_cl4629]) ).
thf(zip_derived_cl253_1062,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_1063,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl273,plain,
( ( sum @ n9 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_1064,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl491_1065,plain,
( ( sum @ n20 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl238_1066,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9759,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n9 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4639,zip_derived_cl253,zip_derived_cl52,zip_derived_cl273,zip_derived_cl51,zip_derived_cl491,zip_derived_cl238]) ).
thf(zip_derived_cl6_1067,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('163',plain,
( ( sk_ != n9 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9759,zip_derived_cl6]) ).
thf(zip_derived_cl725_1068,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4629_1069,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4638,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n8 @ n20 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl725,zip_derived_cl4629]) ).
thf(zip_derived_cl232_1070,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_1071,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl252,plain,
( ( sum @ n8 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_1072,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl490_1073,plain,
( ( sum @ n20 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_1074,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9757,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n8 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4638,zip_derived_cl232,zip_derived_cl51,zip_derived_cl252,zip_derived_cl50,zip_derived_cl490,zip_derived_cl216]) ).
thf(zip_derived_cl8_1075,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('164',plain,
( ( sk__1 != n20 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9757,zip_derived_cl8]) ).
thf(zip_derived_cl724_1076,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4629_1077,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4637,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n7 @ n20 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl724,zip_derived_cl4629]) ).
thf(zip_derived_cl211_1078,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_1079,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl231_1080,plain,
( ( sum @ n7 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_1081,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl489_1082,plain,
( ( sum @ n20 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_1083,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9755,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n7 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4637,zip_derived_cl211,zip_derived_cl50,zip_derived_cl231,zip_derived_cl49,zip_derived_cl489,zip_derived_cl194]) ).
thf(zip_derived_cl10_1084,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('165',plain,
( ( sk__1 != n20 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9755,zip_derived_cl10]) ).
thf(zip_derived_cl723_1085,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4629_1086,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4636,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n6 @ n20 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl723,zip_derived_cl4629]) ).
thf(zip_derived_cl190_1087,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_1088,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210,plain,
( ( sum @ n6 @ n20 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1089,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_1090,plain,
( ( sum @ n20 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172_1091,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9753,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n6 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4636,zip_derived_cl190,zip_derived_cl49,zip_derived_cl210,zip_derived_cl48,zip_derived_cl488,zip_derived_cl172]) ).
thf(zip_derived_cl12_1092,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('166',plain,
( ( sk__1 != n20 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9753,zip_derived_cl12]) ).
thf(zip_derived_cl722_1093,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4629_1094,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4635,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n5 @ n20 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl722,zip_derived_cl4629]) ).
thf(zip_derived_cl169_1095,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1096,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_1097,plain,
( ( sum @ n5 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1098,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl487_1099,plain,
( ( sum @ n20 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl150_1100,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9751,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n5 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4635,zip_derived_cl169,zip_derived_cl48,zip_derived_cl189,zip_derived_cl47,zip_derived_cl487,zip_derived_cl150]) ).
thf(zip_derived_cl14_1101,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('167',plain,
( ( sk__1 != n20 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9751,zip_derived_cl14]) ).
thf(zip_derived_cl721_1102,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4629_1103,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4634,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n4 @ n20 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl721,zip_derived_cl4629]) ).
thf(zip_derived_cl148_1104,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1105,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168,plain,
( ( sum @ n4 @ n20 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1106,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486_1107,plain,
( ( sum @ n20 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_1108,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9749,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n4 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4634,zip_derived_cl148,zip_derived_cl47,zip_derived_cl168,zip_derived_cl46,zip_derived_cl486,zip_derived_cl128]) ).
thf(zip_derived_cl16_1109,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('168',plain,
( ( sk_ != n4 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9749,zip_derived_cl16]) ).
thf(zip_derived_cl720_1110,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4629_1111,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl42]) ).
thf(zip_derived_cl4633,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n0 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n3 @ n20 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl720,zip_derived_cl4629]) ).
thf(zip_derived_cl127_1112,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1113,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147,plain,
( ( sum @ n3 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1114,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl485_1115,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106_1116,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9747,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n3 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4633,zip_derived_cl127,zip_derived_cl46,zip_derived_cl147,zip_derived_cl45,zip_derived_cl485,zip_derived_cl106]) ).
thf(zip_derived_cl18_1117,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('169',plain,
( ( sk__1 != n20 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9747,zip_derived_cl18]) ).
thf(zip_derived_cl733_1118,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4582_1119,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4599,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n16 @ n19 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl4582]) ).
thf(zip_derived_cl420_1120,plain,
( ( sum @ n16 @ n20 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1121,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl419_1122,plain,
( ( sum @ n16 @ n19 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1123,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl476_1124,plain,
( ( sum @ n19 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl369_1125,plain,
( ( sum @ n14 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9683,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n16 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4599,zip_derived_cl420,zip_derived_cl58,zip_derived_cl419,zip_derived_cl57,zip_derived_cl476,zip_derived_cl369]) ).
thf(zip_derived_cl16_1126,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('170',plain,
( ( sk_ != n16 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9683,zip_derived_cl16]) ).
thf(zip_derived_cl733_1127,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4537_1128,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4554,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n16 @ n18 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl4537]) ).
thf(zip_derived_cl419_1129,plain,
( ( sum @ n16 @ n19 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1130,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_1131,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1132,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl454_1133,plain,
( ( sum @ n18 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl346,plain,
( ( sum @ n13 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9591,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n16 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4554,zip_derived_cl419,zip_derived_cl57,zip_derived_cl418,zip_derived_cl56,zip_derived_cl454,zip_derived_cl346]) ).
thf(zip_derived_cl19_1134,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('171',plain,
( ( sk_ != n16 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9591,zip_derived_cl19]) ).
thf(zip_derived_cl733_1135,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4471_1136,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4488,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n16 @ n17 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl4471]) ).
thf(zip_derived_cl418_1137,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1138,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl417_1139,plain,
( ( sum @ n16 @ n17 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1140,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_1141,plain,
( ( sum @ n17 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl323,plain,
( ( sum @ n12 @ n7 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9497,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n16 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4488,zip_derived_cl418,zip_derived_cl56,zip_derived_cl417,zip_derived_cl55,zip_derived_cl432,zip_derived_cl323]) ).
thf(zip_derived_cl1_1142,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('172',plain,
( ( sk_ != n16 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9497,zip_derived_cl1]) ).
thf(zip_derived_cl733_1143,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4375_1144,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4392,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n16 @ n15 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl4375]) ).
thf(zip_derived_cl416_1145,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1146,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl415_1147,plain,
( ( sum @ n16 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1148,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl388_1149,plain,
( ( sum @ n15 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl277_1150,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9313,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n16 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4392,zip_derived_cl416,zip_derived_cl54,zip_derived_cl415,zip_derived_cl53,zip_derived_cl388,zip_derived_cl277]) ).
thf(zip_derived_cl7_1151,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('173',plain,
( ( sk_ != n16 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9313,zip_derived_cl7]) ).
thf(zip_derived_cl733_1152,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4280_1153,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4297,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n16 @ n13 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl4280]) ).
thf(zip_derived_cl414_1154,plain,
( ( sum @ n16 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_1155,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl413_1156,plain,
( ( sum @ n16 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_1157,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl344_1158,plain,
( ( sum @ n13 @ n7 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl252_1159,plain,
( ( sum @ n8 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9129,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n16 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4297,zip_derived_cl414,zip_derived_cl52,zip_derived_cl413,zip_derived_cl51,zip_derived_cl344,zip_derived_cl252]) ).
thf(zip_derived_cl13_1160,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('174',plain,
( ( sk_ != n16 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9129,zip_derived_cl13]) ).
thf(zip_derived_cl733_1161,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4235_1162,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4252,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n16 @ n12 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl4235]) ).
thf(zip_derived_cl413_1163,plain,
( ( sum @ n16 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_1164,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl412_1165,plain,
( ( sum @ n16 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_1166,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_1167,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl229,plain,
( ( sum @ n7 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9035,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n16 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4252,zip_derived_cl413,zip_derived_cl51,zip_derived_cl412,zip_derived_cl50,zip_derived_cl322,zip_derived_cl229]) ).
thf(zip_derived_cl16_1168,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('175',plain,
( ( sk_ != n16 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9035,zip_derived_cl16]) ).
thf(zip_derived_cl733_1169,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4188_1170,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl33]) ).
thf(zip_derived_cl4205,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n16 @ n11 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl4188]) ).
thf(zip_derived_cl412_1171,plain,
( ( sum @ n16 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_1172,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl411_1173,plain,
( ( sum @ n16 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_1174,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl300_1175,plain,
( ( sum @ n11 @ n5 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl206_1176,plain,
( ( sum @ n6 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8943,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n16 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4205,zip_derived_cl412,zip_derived_cl50,zip_derived_cl411,zip_derived_cl49,zip_derived_cl300,zip_derived_cl206]) ).
thf(zip_derived_cl19_1177,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('176',plain,
( ( sk_ != n16 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8943,zip_derived_cl19]) ).
thf(zip_derived_cl733_1178,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl3261_1179,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3278,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n16 @ n9 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl3261]) ).
thf(zip_derived_cl410_1180,plain,
( ( sum @ n16 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1181,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl409_1182,plain,
( ( sum @ n16 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1183,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_1184,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8191,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n16 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3278,zip_derived_cl410,zip_derived_cl48,zip_derived_cl409,zip_derived_cl47,zip_derived_cl256,zip_derived_cl160]) ).
thf(zip_derived_cl4_1185,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('177',plain,
( ( sk_ != n16 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8191,zip_derived_cl4]) ).
thf(zip_derived_cl405_1186,plain,
( ( sum @ n16 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_1187,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1784_1188,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1810,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n16 @ n4 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl1784]) ).
thf(zip_derived_cl7288,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n4 @ ( pred @ ( sum @ n16 @ n4 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl405,zip_derived_cl1810]) ).
thf(zip_derived_cl43_1189,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl404_1190,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1191,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl167_1192,plain,
( ( sum @ n4 @ n19 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7291,plain,
( ( sk__2
= ( sum @ n20 @ n2 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7288,zip_derived_cl43,zip_derived_cl404,zip_derived_cl63,zip_derived_cl167]) ).
thf(zip_derived_cl486_1193,plain,
( ( sum @ n20 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7867,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n16 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7291,zip_derived_cl486]) ).
thf(zip_derived_cl19_1194,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('178',plain,
( ( sk_ != n16 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7867,zip_derived_cl19]) ).
thf(zip_derived_cl733_1195,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2945_1196,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2962,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n16 @ n8 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl2945]) ).
thf(zip_derived_cl409_1197,plain,
( ( sum @ n16 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1198,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl408_1199,plain,
( ( sum @ n16 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1200,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234_1201,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_1202,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7842,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n16 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2962,zip_derived_cl409,zip_derived_cl47,zip_derived_cl408,zip_derived_cl46,zip_derived_cl234,zip_derived_cl137]) ).
thf(zip_derived_cl7_1203,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('179',plain,
( ( sk_ != n16 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7842,zip_derived_cl7]) ).
thf(zip_derived_cl404_1204,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_1205,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1577_1206,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1600,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n16 @ n3 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl1577]) ).
thf(zip_derived_cl7282,plain,
( ( sk__2
= ( sum @ ( pred @ n20 ) @ ( sum @ n3 @ ( pred @ ( sum @ n16 @ n3 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl404,zip_derived_cl1600]) ).
thf(zip_derived_cl63_1207,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl403_1208,plain,
( ( sum @ n16 @ n3 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1209,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145_1210,plain,
( ( sum @ n3 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7284,plain,
( ( sk__2
= ( sum @ n19 @ n0 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7282,zip_derived_cl63,zip_derived_cl403,zip_derived_cl62,zip_derived_cl145]) ).
thf(zip_derived_cl463_1211,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7685,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n16 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7284,zip_derived_cl463]) ).
thf(zip_derived_cl1_1212,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('180',plain,
( ( sk_ != n16 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7685,zip_derived_cl1]) ).
thf(zip_derived_cl403_1213,plain,
( ( sum @ n16 @ n3 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_1214,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1409_1215,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1427,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n16 @ n2 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl1409]) ).
thf(zip_derived_cl7277,plain,
( ( sk__2
= ( sum @ ( pred @ n19 ) @ ( sum @ n2 @ ( pred @ ( sum @ n16 @ n2 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl403,zip_derived_cl1427]) ).
thf(zip_derived_cl62_1216,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl402_1217,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1218,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl123_1219,plain,
( ( sum @ n2 @ n17 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7279,plain,
( ( sk__2
= ( sum @ n18 @ n19 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7277,zip_derived_cl62,zip_derived_cl402,zip_derived_cl61,zip_derived_cl123]) ).
thf(zip_derived_cl461_1220,plain,
( ( sum @ n18 @ n19 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7666,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n16 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7279,zip_derived_cl461]) ).
thf(zip_derived_cl4_1221,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('181',plain,
( ( sk_ != n16 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7666,zip_derived_cl4]) ).
thf(zip_derived_cl402_1222,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_1223,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1364_1224,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1381,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n16 @ n1 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl1364]) ).
thf(zip_derived_cl7271,plain,
( ( sk__2
= ( sum @ ( pred @ n18 ) @ ( sum @ n1 @ ( pred @ ( sum @ n16 @ n1 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl402,zip_derived_cl1381]) ).
thf(zip_derived_cl61_1225,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl401_1226,plain,
( ( sum @ n16 @ n1 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1227,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101_1228,plain,
( ( sum @ n1 @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7274,plain,
( ( sk__2
= ( sum @ n17 @ n17 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7271,zip_derived_cl61,zip_derived_cl401,zip_derived_cl60,zip_derived_cl101]) ).
thf(zip_derived_cl438_1229,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7493,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n16 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7274,zip_derived_cl438]) ).
thf(zip_derived_cl7_1230,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('182',plain,
( ( sk_ != n16 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7493,zip_derived_cl7]) ).
thf(zip_derived_cl733_1231,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2641_1232,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2658,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n16 @ n7 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl2641]) ).
thf(zip_derived_cl408_1233,plain,
( ( sum @ n16 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1234,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_1235,plain,
( ( sum @ n16 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1236,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212_1237,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114_1238,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7465,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n16 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2658,zip_derived_cl408,zip_derived_cl46,zip_derived_cl407,zip_derived_cl45,zip_derived_cl212,zip_derived_cl114]) ).
thf(zip_derived_cl10_1239,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('183',plain,
( ( sk_ != n16 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7465,zip_derived_cl10]) ).
thf(zip_derived_cl407_1240,plain,
( ( sum @ n16 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_1241,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2329_1242,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2346,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n16 @ n6 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl2329]) ).
thf(zip_derived_cl7303,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n6 @ ( pred @ ( sum @ n16 @ n6 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl407,zip_derived_cl2346]) ).
thf(zip_derived_cl45_1243,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl406_1244,plain,
( ( sum @ n16 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1245,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl190_1246,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_1247,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7304,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n16 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7303,zip_derived_cl45,zip_derived_cl406,zip_derived_cl44,zip_derived_cl190,zip_derived_cl91]) ).
thf(zip_derived_cl13_1248,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('184',plain,
( ( sk_ != n16 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7304,zip_derived_cl13]) ).
thf(zip_derived_cl406_1249,plain,
( ( sum @ n16 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_1250,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2018_1251,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2044,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n16 @ n5 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl2018]) ).
thf(zip_derived_cl7294,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n5 @ ( pred @ ( sum @ n16 @ n5 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl406,zip_derived_cl2044]) ).
thf(zip_derived_cl44_1252,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_1253,plain,
( ( sum @ n16 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1254,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_1255,plain,
( ( sum @ n5 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1256,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7296,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n16 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7294,zip_derived_cl44,zip_derived_cl405,zip_derived_cl43,zip_derived_cl189,zip_derived_cl68]) ).
thf(zip_derived_cl16_1257,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('185',plain,
( ( sk_ != n16 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7296,zip_derived_cl16]) ).
thf(zip_derived_cl445,plain,
( ( sum @ n18 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_1258,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1409_1259,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1429,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n18 @ n2 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl1409]) ).
thf(zip_derived_cl7546,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n2 @ ( pred @ ( sum @ n18 @ n2 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl445,zip_derived_cl1429]) ).
thf(zip_derived_cl43_1260,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl444,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1261,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl125_1262,plain,
( ( sum @ n2 @ n19 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7550,plain,
( ( sk__2
= ( sum @ n20 @ n0 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7546,zip_derived_cl43,zip_derived_cl444,zip_derived_cl63,zip_derived_cl125]) ).
thf(zip_derived_cl484_1263,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7849,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n18 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7550,zip_derived_cl484]) ).
thf(zip_derived_cl0_1264,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('186',plain,
( ( sk__1 != n2 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7849,zip_derived_cl0]) ).
thf(zip_derived_cl424,plain,
( ( sum @ n17 @ n3 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_1265,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1409_1266,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1428,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n17 @ n2 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl1409]) ).
thf(zip_derived_cl7420,plain,
( ( sk__2
= ( sum @ ( pred @ n20 ) @ ( sum @ n2 @ ( pred @ ( sum @ n17 @ n2 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl424,zip_derived_cl1428]) ).
thf(zip_derived_cl63_1267,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl423,plain,
( ( sum @ n17 @ n2 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1268,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124_1269,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7422,plain,
( ( sk__2
= ( sum @ n19 @ n20 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7420,zip_derived_cl63,zip_derived_cl423,zip_derived_cl62,zip_derived_cl124]) ).
thf(zip_derived_cl483_1270,plain,
( ( sum @ n19 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7838,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n17 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7422,zip_derived_cl483]) ).
thf(zip_derived_cl2_1271,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('187',plain,
( ( sk__1 != n2 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7838,zip_derived_cl2]) ).
thf(zip_derived_cl466,plain,
( ( sum @ n19 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_1272,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1409_1273,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1430,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n19 @ n2 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl1409]) ).
thf(zip_derived_cl7710,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n2 @ ( pred @ ( sum @ n19 @ n2 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl1430]) ).
thf(zip_derived_cl44_1274,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465,plain,
( ( sum @ n19 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1275,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126_1276,plain,
( ( sum @ n2 @ n20 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_1277,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7714,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n19 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7710,zip_derived_cl44,zip_derived_cl465,zip_derived_cl43,zip_derived_cl126,zip_derived_cl65]) ).
thf(zip_derived_cl19_1278,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('188',plain,
( ( sk__1 != n2 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7714,zip_derived_cl19]) ).
thf(zip_derived_cl382_1279,plain,
( ( sum @ n15 @ n3 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_1280,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1409_1281,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1426,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n15 @ n2 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl1409]) ).
thf(zip_derived_cl7144,plain,
( ( sk__2
= ( sum @ ( pred @ n18 ) @ ( sum @ n2 @ ( pred @ ( sum @ n15 @ n2 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl382,zip_derived_cl1426]) ).
thf(zip_derived_cl61_1282,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl381,plain,
( ( sum @ n15 @ n2 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1283,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122_1284,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7147,plain,
( ( sk__2
= ( sum @ n17 @ n18 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7144,zip_derived_cl61,zip_derived_cl381,zip_derived_cl60,zip_derived_cl122]) ).
thf(zip_derived_cl439_1285,plain,
( ( sum @ n17 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7498,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n15 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7147,zip_derived_cl439]) ).
thf(zip_derived_cl6_1286,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('189',plain,
( ( sk__1 != n2 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7498,zip_derived_cl6]) ).
thf(zip_derived_cl361_1287,plain,
( ( sum @ n14 @ n3 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731_1288,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1409_1289,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1425,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n14 @ n2 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl1409]) ).
thf(zip_derived_cl7043,plain,
( ( sk__2
= ( sum @ ( pred @ n17 ) @ ( sum @ n2 @ ( pred @ ( sum @ n14 @ n2 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl361,zip_derived_cl1425]) ).
thf(zip_derived_cl60_1290,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl360_1291,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1292,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121_1293,plain,
( ( sum @ n2 @ n15 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7046,plain,
( ( sk__2
= ( sum @ n16 @ n17 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7043,zip_derived_cl60,zip_derived_cl360,zip_derived_cl59,zip_derived_cl121]) ).
thf(zip_derived_cl417_1294,plain,
( ( sum @ n16 @ n17 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7356,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n14 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7046,zip_derived_cl417]) ).
thf(zip_derived_cl8_1295,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('190',plain,
( ( sk__1 != n2 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7356,zip_derived_cl8]) ).
thf(zip_derived_cl340_1296,plain,
( ( sum @ n13 @ n3 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730_1297,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1409_1298,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1424,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n13 @ n2 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl1409]) ).
thf(zip_derived_cl6915,plain,
( ( sk__2
= ( sum @ ( pred @ n16 ) @ ( sum @ n2 @ ( pred @ ( sum @ n13 @ n2 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl340,zip_derived_cl1424]) ).
thf(zip_derived_cl59_1299,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl339_1300,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1301,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120_1302,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6917,plain,
( ( sk__2
= ( sum @ n15 @ n16 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6915,zip_derived_cl59,zip_derived_cl339,zip_derived_cl58,zip_derived_cl120]) ).
thf(zip_derived_cl395_1303,plain,
( ( sum @ n15 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7209,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n13 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6917,zip_derived_cl395]) ).
thf(zip_derived_cl10_1304,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('191',plain,
( ( sk__1 != n2 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7209,zip_derived_cl10]) ).
thf(zip_derived_cl319_1305,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729_1306,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1409_1307,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1423,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n12 @ n2 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl1409]) ).
thf(zip_derived_cl6819,plain,
( ( sk__2
= ( sum @ ( pred @ n15 ) @ ( sum @ n2 @ ( pred @ ( sum @ n12 @ n2 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl319,zip_derived_cl1423]) ).
thf(zip_derived_cl58_1308,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl318_1309,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1310,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119_1311,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6821,plain,
( ( sk__2
= ( sum @ n14 @ n15 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6819,zip_derived_cl58,zip_derived_cl318,zip_derived_cl57,zip_derived_cl119]) ).
thf(zip_derived_cl373_1312,plain,
( ( sum @ n14 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7098,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n12 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6821,zip_derived_cl373]) ).
thf(zip_derived_cl12_1313,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('192',plain,
( ( sk__1 != n2 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7098,zip_derived_cl12]) ).
thf(zip_derived_cl298_1314,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728_1315,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1409_1316,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1422,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n11 @ n2 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl1409]) ).
thf(zip_derived_cl6716,plain,
( ( sk__2
= ( sum @ ( pred @ n14 ) @ ( sum @ n2 @ ( pred @ ( sum @ n11 @ n2 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl298,zip_derived_cl1422]) ).
thf(zip_derived_cl57_1317,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1318,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118_1319,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6718,plain,
( ( sk__2
= ( sum @ n13 @ n14 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6716,zip_derived_cl57,zip_derived_cl297,zip_derived_cl56,zip_derived_cl118]) ).
thf(zip_derived_cl351_1320,plain,
( ( sum @ n13 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6974,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n11 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6718,zip_derived_cl351]) ).
thf(zip_derived_cl14_1321,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('193',plain,
( ( sk__1 != n2 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6974,zip_derived_cl14]) ).
thf(zip_derived_cl277_1322,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_1323,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1409_1324,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1421,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_cl727,zip_derived_cl1409]) ).
thf(zip_derived_cl6649,plain,
( ( sk__2
= ( sum @ ( pred @ n13 ) @ ( sum @ n2 @ ( pred @ ( sum @ n10 @ n2 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl277,zip_derived_cl1421]) ).
thf(zip_derived_cl56_1325,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276_1326,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1327,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117_1328,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6651,plain,
( ( sk__2
= ( sum @ n12 @ n13 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6649,zip_derived_cl56,zip_derived_cl276,zip_derived_cl55,zip_derived_cl117]) ).
thf(zip_derived_cl329_1329,plain,
( ( sum @ n12 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6860,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n10 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6651,zip_derived_cl329]) ).
thf(zip_derived_cl16_1330,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('194',plain,
( ( sk__1 != n2 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6860,zip_derived_cl16]) ).
thf(zip_derived_cl256_1331,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_1332,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1409_1333,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1420,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_cl726,zip_derived_cl1409]) ).
thf(zip_derived_cl255,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1334,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116_1335,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6592,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n3 ) ) @ n12 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1420,zip_derived_cl255,zip_derived_cl54,zip_derived_cl116]) ).
thf(zip_derived_cl6593,plain,
( ( sk__2
= ( sum @ ( pred @ n12 ) @ n12 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl256,zip_derived_cl6592]) ).
thf(zip_derived_cl55_1336,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6594,plain,
( ( sk__2
= ( sum @ n11 @ n12 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6593,zip_derived_cl55]) ).
thf(zip_derived_cl307_1337,plain,
( ( sum @ n11 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6751,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n9 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6594,zip_derived_cl307]) ).
thf(zip_derived_cl18_1338,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('195',plain,
( ( sk_ != n9 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6751,zip_derived_cl18]) ).
thf(zip_derived_cl725_1339,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1409_1340,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1419,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_cl725,zip_derived_cl1409]) ).
thf(zip_derived_cl235,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1341,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234_1342,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1343,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115_1344,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6587,plain,
( ( sk__2
= ( sum @ n10 @ n11 ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1419,zip_derived_cl235,zip_derived_cl54,zip_derived_cl234,zip_derived_cl53,zip_derived_cl115]) ).
thf(zip_derived_cl285_1345,plain,
( ( sum @ n10 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6679,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n8 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6587,zip_derived_cl285]) ).
thf(zip_derived_cl20_1346,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('196',plain,
( ( sk__1 != n2 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6679,zip_derived_cl20]) ).
thf(zip_derived_cl724_1347,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1409_1348,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1418,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_cl724,zip_derived_cl1409]) ).
thf(zip_derived_cl214,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1349,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl213,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_1350,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114_1351,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6579,plain,
( ( sk__2
= ( sum @ n9 @ n10 ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1418,zip_derived_cl214,zip_derived_cl53,zip_derived_cl213,zip_derived_cl52,zip_derived_cl114]) ).
thf(zip_derived_cl263_1352,plain,
( ( sum @ n9 @ n10 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6614,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n7 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6579,zip_derived_cl263]) ).
thf(zip_derived_cl1_1353,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('197',plain,
( ( sk__1 != n2 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6614,zip_derived_cl1]) ).
thf(zip_derived_cl723_1354,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1409_1355,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1417,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_cl723,zip_derived_cl1409]) ).
thf(zip_derived_cl193,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_1356,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_1357,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113_1358,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl241_1359,plain,
( ( sum @ n8 @ n9 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6577,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n6 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1417,zip_derived_cl193,zip_derived_cl52,zip_derived_cl192,zip_derived_cl51,zip_derived_cl113,zip_derived_cl241]) ).
thf(zip_derived_cl3_1360,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('198',plain,
( ( sk__1 != n2 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6577,zip_derived_cl3]) ).
thf(zip_derived_cl722_1361,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1409_1362,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1416,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_cl722,zip_derived_cl1409]) ).
thf(zip_derived_cl172_1363,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_1364,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl171,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_1365,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_1366,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219_1367,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6575,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n5 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1416,zip_derived_cl172,zip_derived_cl51,zip_derived_cl171,zip_derived_cl50,zip_derived_cl112,zip_derived_cl219]) ).
thf(zip_derived_cl5_1368,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('199',plain,
( ( sk__1 != n2 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6575,zip_derived_cl5]) ).
thf(zip_derived_cl721_1369,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1409_1370,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1415,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_cl721,zip_derived_cl1409]) ).
thf(zip_derived_cl151_1371,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_1372,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl150_1373,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_1374,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111_1375,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl197_1376,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6573,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n4 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1415,zip_derived_cl151,zip_derived_cl50,zip_derived_cl150,zip_derived_cl49,zip_derived_cl111,zip_derived_cl197]) ).
thf(zip_derived_cl7_1377,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('200',plain,
( ( sk_ != n4 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6573,zip_derived_cl7]) ).
thf(zip_derived_cl720_1378,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1409_1379,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl24]) ).
thf(zip_derived_cl1414,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_cl720,zip_derived_cl1409]) ).
thf(zip_derived_cl130_1380,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_1381,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl129_1382,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1383,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_1384,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl175_1385,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6571,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n3 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1414,zip_derived_cl130,zip_derived_cl49,zip_derived_cl129,zip_derived_cl48,zip_derived_cl110,zip_derived_cl175]) ).
thf(zip_derived_cl9_1386,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('201',plain,
( ( sk__1 != n2 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6571,zip_derived_cl9]) ).
thf(zip_derived_cl732_1387,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4582_1388,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4598,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n15 @ n19 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl4582]) ).
thf(zip_derived_cl399_1389,plain,
( ( sum @ n15 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1390,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl398,plain,
( ( sum @ n15 @ n19 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1391,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl475,plain,
( ( sum @ n19 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl347_1392,plain,
( ( sum @ n13 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9681,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n15 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4598,zip_derived_cl399,zip_derived_cl57,zip_derived_cl398,zip_derived_cl56,zip_derived_cl475,zip_derived_cl347]) ).
thf(zip_derived_cl18_1393,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('202',plain,
( ( sk_ != n15 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9681,zip_derived_cl18]) ).
thf(zip_derived_cl732_1394,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4537_1395,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4553,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n15 @ n18 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl4537]) ).
thf(zip_derived_cl398_1396,plain,
( ( sum @ n15 @ n19 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1397,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl397,plain,
( ( sum @ n15 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1398,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl453_1399,plain,
( ( sum @ n18 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9587,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n15 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4553,zip_derived_cl398,zip_derived_cl56,zip_derived_cl397,zip_derived_cl55,zip_derived_cl453,zip_derived_cl324]) ).
thf(zip_derived_cl0_1400,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('203',plain,
( ( sk_ != n15 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9587,zip_derived_cl0]) ).
thf(zip_derived_cl732_1401,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4471_1402,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4487,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n15 @ n17 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl4471]) ).
thf(zip_derived_cl397_1403,plain,
( ( sum @ n15 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1404,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl396_1405,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1406,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl431_1407,plain,
( ( sum @ n17 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl301,plain,
( ( sum @ n11 @ n6 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9495,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n15 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4487,zip_derived_cl397,zip_derived_cl55,zip_derived_cl396,zip_derived_cl54,zip_derived_cl431,zip_derived_cl301]) ).
thf(zip_derived_cl3_1408,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('204',plain,
( ( sk_ != n15 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9495,zip_derived_cl3]) ).
thf(zip_derived_cl732_1409,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4375_1410,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4391,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n15 @ n15 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl4375]) ).
thf(zip_derived_cl395_1411,plain,
( ( sum @ n15 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1412,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl394_1413,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_1414,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl387_1415,plain,
( ( sum @ n15 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl255_1416,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9311,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n15 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4391,zip_derived_cl395,zip_derived_cl53,zip_derived_cl394,zip_derived_cl52,zip_derived_cl387,zip_derived_cl255]) ).
thf(zip_derived_cl9_1417,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('205',plain,
( ( sk_ != n15 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9311,zip_derived_cl9]) ).
thf(zip_derived_cl732_1418,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4280_1419,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4296,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n15 @ n13 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl4280]) ).
thf(zip_derived_cl393_1420,plain,
( ( sum @ n15 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_1421,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl392_1422,plain,
( ( sum @ n15 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_1423,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl343,plain,
( ( sum @ n13 @ n6 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230,plain,
( ( sum @ n7 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9125,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n15 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4296,zip_derived_cl393,zip_derived_cl51,zip_derived_cl392,zip_derived_cl50,zip_derived_cl343,zip_derived_cl230]) ).
thf(zip_derived_cl15_1424,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('206',plain,
( ( sk_ != n15 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9125,zip_derived_cl15]) ).
thf(zip_derived_cl732_1425,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4235_1426,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4251,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n15 @ n12 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl4235]) ).
thf(zip_derived_cl392_1427,plain,
( ( sum @ n15 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_1428,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl391,plain,
( ( sum @ n15 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_1429,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl321,plain,
( ( sum @ n12 @ n5 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl207_1430,plain,
( ( sum @ n6 @ n17 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9033,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n15 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4251,zip_derived_cl392,zip_derived_cl50,zip_derived_cl391,zip_derived_cl49,zip_derived_cl321,zip_derived_cl207]) ).
thf(zip_derived_cl18_1431,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('207',plain,
( ( sk_ != n15 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9033,zip_derived_cl18]) ).
thf(zip_derived_cl732_1432,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4188_1433,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl33]) ).
thf(zip_derived_cl4204,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n15 @ n11 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl4188]) ).
thf(zip_derived_cl391_1434,plain,
( ( sum @ n15 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_1435,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl390_1436,plain,
( ( sum @ n15 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1437,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl184_1438,plain,
( ( sum @ n5 @ n15 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8941,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n15 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4204,zip_derived_cl391,zip_derived_cl49,zip_derived_cl390,zip_derived_cl48,zip_derived_cl299,zip_derived_cl184]) ).
thf(zip_derived_cl0_1439,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('208',plain,
( ( sk_ != n15 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8941,zip_derived_cl0]) ).
thf(zip_derived_cl732_1440,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl3261_1441,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3277,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n15 @ n9 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl3261]) ).
thf(zip_derived_cl389_1442,plain,
( ( sum @ n15 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1443,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl388_1444,plain,
( ( sum @ n15 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1445,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl255_1446,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138_1447,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8189,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n15 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3277,zip_derived_cl389,zip_derived_cl47,zip_derived_cl388,zip_derived_cl46,zip_derived_cl255,zip_derived_cl138]) ).
thf(zip_derived_cl6_1448,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('209',plain,
( ( sk_ != n15 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8189,zip_derived_cl6]) ).
thf(zip_derived_cl385_1449,plain,
( ( sum @ n15 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_1450,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2018_1451,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2043,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n15 @ n5 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl2018]) ).
thf(zip_derived_cl7162,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n5 @ ( pred @ ( sum @ n15 @ n5 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl385,zip_derived_cl2043]) ).
thf(zip_derived_cl43_1452,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384,plain,
( ( sum @ n15 @ n5 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1453,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl188,plain,
( ( sum @ n5 @ n19 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7164,plain,
( ( sk__2
= ( sum @ n20 @ n3 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7162,zip_derived_cl43,zip_derived_cl384,zip_derived_cl63,zip_derived_cl188]) ).
thf(zip_derived_cl487_1454,plain,
( ( sum @ n20 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7876,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n15 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7164,zip_derived_cl487]) ).
thf(zip_derived_cl18_1455,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('210',plain,
( ( sk_ != n15 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7876,zip_derived_cl18]) ).
thf(zip_derived_cl732_1456,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2945_1457,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2961,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n15 @ n8 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl2945]) ).
thf(zip_derived_cl388_1458,plain,
( ( sum @ n15 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1459,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl387_1460,plain,
( ( sum @ n15 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1461,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl233_1462,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115_1463,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7840,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n15 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2961,zip_derived_cl388,zip_derived_cl46,zip_derived_cl387,zip_derived_cl45,zip_derived_cl233,zip_derived_cl115]) ).
thf(zip_derived_cl9_1464,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('211',plain,
( ( sk_ != n15 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7840,zip_derived_cl9]) ).
thf(zip_derived_cl384_1465,plain,
( ( sum @ n15 @ n5 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_1466,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1784_1467,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1809,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n15 @ n4 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl1784]) ).
thf(zip_derived_cl7155,plain,
( ( sk__2
= ( sum @ ( pred @ n20 ) @ ( sum @ n4 @ ( pred @ ( sum @ n15 @ n4 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl384,zip_derived_cl1809]) ).
thf(zip_derived_cl63_1468,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl383,plain,
( ( sum @ n15 @ n4 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1469,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166_1470,plain,
( ( sum @ n4 @ n18 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7157,plain,
( ( sk__2
= ( sum @ n19 @ n1 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7155,zip_derived_cl63,zip_derived_cl383,zip_derived_cl62,zip_derived_cl166]) ).
thf(zip_derived_cl464_1471,plain,
( ( sum @ n19 @ n1 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7694,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n15 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7157,zip_derived_cl464]) ).
thf(zip_derived_cl0_1472,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('212',plain,
( ( sk_ != n15 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7694,zip_derived_cl0]) ).
thf(zip_derived_cl383_1473,plain,
( ( sum @ n15 @ n4 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_1474,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1577_1475,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1599,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n15 @ n3 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl1577]) ).
thf(zip_derived_cl7150,plain,
( ( sk__2
= ( sum @ ( pred @ n19 ) @ ( sum @ n3 @ ( pred @ ( sum @ n15 @ n3 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl383,zip_derived_cl1599]) ).
thf(zip_derived_cl62_1476,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl382_1477,plain,
( ( sum @ n15 @ n3 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1478,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144_1479,plain,
( ( sum @ n3 @ n17 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7152,plain,
( ( sk__2
= ( sum @ n18 @ n20 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7150,zip_derived_cl62,zip_derived_cl382,zip_derived_cl61,zip_derived_cl144]) ).
thf(zip_derived_cl462_1480,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7674,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n15 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7152,zip_derived_cl462]) ).
thf(zip_derived_cl3_1481,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('213',plain,
( ( sk_ != n15 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7674,zip_derived_cl3]) ).
thf(zip_derived_cl732_1482,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2641_1483,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2657,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n15 @ n7 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl2641]) ).
thf(zip_derived_cl387_1484,plain,
( ( sum @ n15 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1485,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_1486,plain,
( ( sum @ n15 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1487,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl211_1488,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_1489,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7463,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n15 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2657,zip_derived_cl387,zip_derived_cl45,zip_derived_cl386,zip_derived_cl44,zip_derived_cl211,zip_derived_cl92]) ).
thf(zip_derived_cl12_1490,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('214',plain,
( ( sk_ != n15 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7463,zip_derived_cl12]) ).
thf(zip_derived_cl381_1491,plain,
( ( sum @ n15 @ n2 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_1492,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1364_1493,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1380,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n15 @ n1 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl1364]) ).
thf(zip_derived_cl7137,plain,
( ( sk__2
= ( sum @ ( pred @ n17 ) @ ( sum @ n1 @ ( pred @ ( sum @ n15 @ n1 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl381,zip_derived_cl1380]) ).
thf(zip_derived_cl60_1494,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_1495,plain,
( ( sum @ n15 @ n1 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1496,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100_1497,plain,
( ( sum @ n1 @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7140,plain,
( ( sk__2
= ( sum @ n16 @ n16 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7137,zip_derived_cl60,zip_derived_cl380,zip_derived_cl59,zip_derived_cl100]) ).
thf(zip_derived_cl416_1498,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7348,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n15 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7140,zip_derived_cl416]) ).
thf(zip_derived_cl9_1499,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('215',plain,
( ( sk_ != n15 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7348,zip_derived_cl9]) ).
thf(zip_derived_cl386_1500,plain,
( ( sum @ n15 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_1501,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2329_1502,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2345,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n15 @ n6 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl2329]) ).
thf(zip_derived_cl7166,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n6 @ ( pred @ ( sum @ n15 @ n6 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl386,zip_derived_cl2345]) ).
thf(zip_derived_cl44_1503,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl385_1504,plain,
( ( sum @ n15 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1505,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210_1506,plain,
( ( sum @ n6 @ n20 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1507,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7167,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n15 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7166,zip_derived_cl44,zip_derived_cl385,zip_derived_cl43,zip_derived_cl210,zip_derived_cl69]) ).
thf(zip_derived_cl15_1508,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('216',plain,
( ( sk_ != n15 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7167,zip_derived_cl15]) ).
thf(zip_derived_cl736_1509,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4471_1510,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4491,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n19 @ n17 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl4471]) ).
thf(zip_derived_cl481_1511,plain,
( ( sum @ n19 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1512,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_1513,plain,
( ( sum @ n19 @ n17 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1514,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl435_1515,plain,
( ( sum @ n17 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl389_1516,plain,
( ( sum @ n15 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9505,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n19 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4491,zip_derived_cl481,zip_derived_cl59,zip_derived_cl480,zip_derived_cl58,zip_derived_cl435,zip_derived_cl389]) ).
thf(zip_derived_cl16_1517,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('217',plain,
( ( sk__1 != n17 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9505,zip_derived_cl16]) ).
thf(zip_derived_cl735_1518,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4471_1519,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4490,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n18 @ n17 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl4471]) ).
thf(zip_derived_cl460_1520,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1521,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459_1522,plain,
( ( sum @ n18 @ n17 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1523,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_1524,plain,
( ( sum @ n17 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl367_1525,plain,
( ( sum @ n14 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9503,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n18 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4490,zip_derived_cl460,zip_derived_cl58,zip_derived_cl459,zip_derived_cl57,zip_derived_cl434,zip_derived_cl367]) ).
thf(zip_derived_cl18_1526,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('218',plain,
( ( sk__1 != n17 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9503,zip_derived_cl18]) ).
thf(zip_derived_cl734_1527,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4471_1528,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4489,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n17 @ n17 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl4471]) ).
thf(zip_derived_cl439_1529,plain,
( ( sum @ n17 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1530,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438_1531,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1532,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl433_1533,plain,
( ( sum @ n17 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl345,plain,
( ( sum @ n13 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9499,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n17 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4489,zip_derived_cl439,zip_derived_cl57,zip_derived_cl438,zip_derived_cl56,zip_derived_cl433,zip_derived_cl345]) ).
thf(zip_derived_cl20_1534,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('219',plain,
( ( sk__1 != n17 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9499,zip_derived_cl20]) ).
thf(zip_derived_cl731_1535,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4471_1536,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4486,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n14 @ n17 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl4471]) ).
thf(zip_derived_cl376_1537,plain,
( ( sum @ n14 @ n18 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1538,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl375_1539,plain,
( ( sum @ n14 @ n17 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1540,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl430_1541,plain,
( ( sum @ n17 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl279_1542,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9493,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n14 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4486,zip_derived_cl376,zip_derived_cl54,zip_derived_cl375,zip_derived_cl53,zip_derived_cl430,zip_derived_cl279]) ).
thf(zip_derived_cl5_1543,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('220',plain,
( ( sk__1 != n17 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9493,zip_derived_cl5]) ).
thf(zip_derived_cl730_1544,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4471_1545,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4485,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n13 @ n17 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl4471]) ).
thf(zip_derived_cl355,plain,
( ( sum @ n13 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1546,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_1547,plain,
( ( sum @ n13 @ n17 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_1548,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl429,plain,
( ( sum @ n17 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl257,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9491,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n13 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4485,zip_derived_cl355,zip_derived_cl53,zip_derived_cl354,zip_derived_cl52,zip_derived_cl429,zip_derived_cl257]) ).
thf(zip_derived_cl7_1549,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('221',plain,
( ( sk__1 != n17 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9491,zip_derived_cl7]) ).
thf(zip_derived_cl729_1550,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4471_1551,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4484,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n12 @ n17 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl4471]) ).
thf(zip_derived_cl334,plain,
( ( sum @ n12 @ n18 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_1552,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl333_1553,plain,
( ( sum @ n12 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_1554,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl428,plain,
( ( sum @ n17 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl235_1555,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9489,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n12 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4484,zip_derived_cl334,zip_derived_cl52,zip_derived_cl333,zip_derived_cl51,zip_derived_cl428,zip_derived_cl235]) ).
thf(zip_derived_cl9_1556,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('222',plain,
( ( sk__1 != n17 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9489,zip_derived_cl9]) ).
thf(zip_derived_cl728_1557,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4471_1558,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4483,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n11 @ n17 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl4471]) ).
thf(zip_derived_cl313,plain,
( ( sum @ n11 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_1559,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl312_1560,plain,
( ( sum @ n11 @ n17 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_1561,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl427,plain,
( ( sum @ n17 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl213_1562,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9487,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n11 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4483,zip_derived_cl313,zip_derived_cl51,zip_derived_cl312,zip_derived_cl50,zip_derived_cl427,zip_derived_cl213]) ).
thf(zip_derived_cl11_1563,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('223',plain,
( ( sk__1 != n17 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9487,zip_derived_cl11]) ).
thf(zip_derived_cl727_1564,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4471_1565,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4482,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n10 @ n17 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl4471]) ).
thf(zip_derived_cl292_1566,plain,
( ( sum @ n10 @ n18 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_1567,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl291_1568,plain,
( ( sum @ n10 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_1569,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl426_1570,plain,
( ( sum @ n17 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_1571,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9485,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n10 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4482,zip_derived_cl292,zip_derived_cl50,zip_derived_cl291,zip_derived_cl49,zip_derived_cl426,zip_derived_cl191]) ).
thf(zip_derived_cl13_1572,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('224',plain,
( ( sk__1 != n17 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9485,zip_derived_cl13]) ).
thf(zip_derived_cl726_1573,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4471_1574,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4481,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n9 @ n17 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl726,zip_derived_cl4471]) ).
thf(zip_derived_cl271_1575,plain,
( ( sum @ n9 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_1576,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_1577,plain,
( ( sum @ n9 @ n17 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1578,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl425,plain,
( ( sum @ n17 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl169_1579,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9483,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n9 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4481,zip_derived_cl271,zip_derived_cl49,zip_derived_cl270,zip_derived_cl48,zip_derived_cl425,zip_derived_cl169]) ).
thf(zip_derived_cl15_1580,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('225',plain,
( ( sk_ != n9 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9483,zip_derived_cl15]) ).
thf(zip_derived_cl725_1581,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4471_1582,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4480,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n8 @ n17 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl725,zip_derived_cl4471]) ).
thf(zip_derived_cl250,plain,
( ( sum @ n8 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1583,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl249_1584,plain,
( ( sum @ n8 @ n17 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1585,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl424_1586,plain,
( ( sum @ n17 @ n3 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168_1587,plain,
( ( sum @ n4 @ n20 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9481,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n8 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4480,zip_derived_cl250,zip_derived_cl48,zip_derived_cl249,zip_derived_cl47,zip_derived_cl424,zip_derived_cl168]) ).
thf(zip_derived_cl17_1588,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('226',plain,
( ( sk__1 != n17 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9481,zip_derived_cl17]) ).
thf(zip_derived_cl724_1589,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4471_1590,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4479,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n7 @ n17 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl724,zip_derived_cl4471]) ).
thf(zip_derived_cl229_1591,plain,
( ( sum @ n7 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1592,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228_1593,plain,
( ( sum @ n7 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1594,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl423_1595,plain,
( ( sum @ n17 @ n2 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl146,plain,
( ( sum @ n3 @ n19 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9477,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n7 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4479,zip_derived_cl229,zip_derived_cl47,zip_derived_cl228,zip_derived_cl46,zip_derived_cl423,zip_derived_cl146]) ).
thf(zip_derived_cl19_1596,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('227',plain,
( ( sk__1 != n17 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9477,zip_derived_cl19]) ).
thf(zip_derived_cl723_1597,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4471_1598,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4478,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n6 @ n17 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl723,zip_derived_cl4471]) ).
thf(zip_derived_cl208,plain,
( ( sum @ n6 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1599,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl207_1600,plain,
( ( sum @ n6 @ n17 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1601,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl422_1602,plain,
( ( sum @ n17 @ n1 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124_1603,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9475,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n6 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4478,zip_derived_cl208,zip_derived_cl46,zip_derived_cl207,zip_derived_cl45,zip_derived_cl422,zip_derived_cl124]) ).
thf(zip_derived_cl0_1604,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('228',plain,
( ( sk__1 != n17 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9475,zip_derived_cl0]) ).
thf(zip_derived_cl722_1605,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4471_1606,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4477,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n5 @ n17 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl722,zip_derived_cl4471]) ).
thf(zip_derived_cl187_1607,plain,
( ( sum @ n5 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1608,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl186_1609,plain,
( ( sum @ n5 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1610,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl421_1611,plain,
( ( sum @ n17 @ n0 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102_1612,plain,
( ( sum @ n1 @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9473,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n5 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4477,zip_derived_cl187,zip_derived_cl45,zip_derived_cl186,zip_derived_cl44,zip_derived_cl421,zip_derived_cl102]) ).
thf(zip_derived_cl2_1613,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('229',plain,
( ( sk__1 != n17 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9473,zip_derived_cl2]) ).
thf(zip_derived_cl721_1614,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4471_1615,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4476,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n4 @ n17 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl721,zip_derived_cl4471]) ).
thf(zip_derived_cl166_1616,plain,
( ( sum @ n4 @ n18 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1617,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl165_1618,plain,
( ( sum @ n4 @ n17 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1619,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl441_1620,plain,
( ( sum @ n17 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_1621,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9471,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n4 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4476,zip_derived_cl166,zip_derived_cl44,zip_derived_cl165,zip_derived_cl43,zip_derived_cl441,zip_derived_cl80]) ).
thf(zip_derived_cl4_1622,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('230',plain,
( ( sk_ != n4 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9471,zip_derived_cl4]) ).
thf(zip_derived_cl720_1623,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4471_1624,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl39]) ).
thf(zip_derived_cl4475,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n3 @ n17 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl720,zip_derived_cl4471]) ).
thf(zip_derived_cl145_1625,plain,
( ( sum @ n3 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1626,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144_1627,plain,
( ( sum @ n3 @ n17 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1628,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl499_1629,plain,
( ( sum @ n20 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9469,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n3 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4475,zip_derived_cl145,zip_derived_cl43,zip_derived_cl144,zip_derived_cl63,zip_derived_cl440,zip_derived_cl499]) ).
thf(zip_derived_cl6_1630,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('231',plain,
( ( sk__1 != n17 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9469,zip_derived_cl6]) ).
thf(zip_derived_cl722_1631,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4582_1632,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4588,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n5 @ n19 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl722,zip_derived_cl4582]) ).
thf(zip_derived_cl189_1633,plain,
( ( sum @ n5 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1634,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl188_1635,plain,
( ( sum @ n5 @ n19 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1636,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_1637,plain,
( ( sum @ n19 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127_1638,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9659,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n5 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4588,zip_derived_cl189,zip_derived_cl47,zip_derived_cl188,zip_derived_cl46,zip_derived_cl465,zip_derived_cl127]) ).
thf(zip_derived_cl17_1639,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('232',plain,
( ( sk_ != n5 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9659,zip_derived_cl17]) ).
thf(zip_derived_cl722_1640,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4537_1641,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4543,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n5 @ n18 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl722,zip_derived_cl4537]) ).
thf(zip_derived_cl188_1642,plain,
( ( sum @ n5 @ n19 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1643,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl187_1644,plain,
( ( sum @ n5 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1645,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_1646,plain,
( ( sum @ n18 @ n1 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl125_1647,plain,
( ( sum @ n2 @ n19 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9565,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n5 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4543,zip_derived_cl188,zip_derived_cl46,zip_derived_cl187,zip_derived_cl45,zip_derived_cl443,zip_derived_cl125]) ).
thf(zip_derived_cl20_1648,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('233',plain,
( ( sk_ != n5 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9565,zip_derived_cl20]) ).
thf(zip_derived_cl722_1649,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4375_1650,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4381,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n5 @ n15 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl722,zip_derived_cl4375]) ).
thf(zip_derived_cl185_1651,plain,
( ( sum @ n5 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1652,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl184_1653,plain,
( ( sum @ n5 @ n15 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1654,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl398_1655,plain,
( ( sum @ n15 @ n19 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl497_1656,plain,
( ( sum @ n20 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9289,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n5 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4381,zip_derived_cl185,zip_derived_cl43,zip_derived_cl184,zip_derived_cl63,zip_derived_cl398,zip_derived_cl497]) ).
thf(zip_derived_cl8_1657,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('234',plain,
( ( sk_ != n5 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9289,zip_derived_cl8]) ).
thf(zip_derived_cl722_1658,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4280_1659,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4286,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n5 @ n13 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl722,zip_derived_cl4280]) ).
thf(zip_derived_cl183_1660,plain,
( ( sum @ n5 @ n14 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1661,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182,plain,
( ( sum @ n5 @ n13 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1662,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_1663,plain,
( ( sum @ n13 @ n17 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl451,plain,
( ( sum @ n18 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9103,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n5 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4286,zip_derived_cl183,zip_derived_cl62,zip_derived_cl182,zip_derived_cl61,zip_derived_cl354,zip_derived_cl451]) ).
thf(zip_derived_cl14_1664,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('235',plain,
( ( sk_ != n5 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9103,zip_derived_cl14]) ).
thf(zip_derived_cl722_1665,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4235_1666,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4241,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n5 @ n12 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl722,zip_derived_cl4235]) ).
thf(zip_derived_cl182_1667,plain,
( ( sum @ n5 @ n13 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1668,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl181,plain,
( ( sum @ n5 @ n12 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1669,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_1670,plain,
( ( sum @ n12 @ n16 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl428_1671,plain,
( ( sum @ n17 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9011,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n5 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4241,zip_derived_cl182,zip_derived_cl61,zip_derived_cl181,zip_derived_cl60,zip_derived_cl332,zip_derived_cl428]) ).
thf(zip_derived_cl17_1672,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('236',plain,
( ( sk_ != n5 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9011,zip_derived_cl17]) ).
thf(zip_derived_cl722_1673,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4188_1674,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl33]) ).
thf(zip_derived_cl4194,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n5 @ n11 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl722,zip_derived_cl4188]) ).
thf(zip_derived_cl181_1675,plain,
( ( sum @ n5 @ n12 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1676,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180_1677,plain,
( ( sum @ n5 @ n11 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1678,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_1679,plain,
( ( sum @ n11 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_1680,plain,
( ( sum @ n16 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8919,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n5 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4194,zip_derived_cl181,zip_derived_cl60,zip_derived_cl180,zip_derived_cl59,zip_derived_cl310,zip_derived_cl405]) ).
thf(zip_derived_cl20_1681,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('237',plain,
( ( sk_ != n5 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8919,zip_derived_cl20]) ).
thf(zip_derived_cl722_1682,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl3261_1683,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3267,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_cl722,zip_derived_cl3261]) ).
thf(zip_derived_cl179_1684,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1685,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_1686,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1687,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266,plain,
( ( sum @ n9 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl359_1688,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8167,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n5 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3267,zip_derived_cl179,zip_derived_cl58,zip_derived_cl178,zip_derived_cl57,zip_derived_cl266,zip_derived_cl359]) ).
thf(zip_derived_cl5_1689,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('238',plain,
( ( sk_ != n5 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8167,zip_derived_cl5]) ).
thf(zip_derived_cl722_1690,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2945_1691,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2951,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_cl722,zip_derived_cl2945]) ).
thf(zip_derived_cl178_1692,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1693,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl177_1694,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1695,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl357_1696,plain,
( ( sum @ n13 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7813,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n5 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2951,zip_derived_cl178,zip_derived_cl57,zip_derived_cl177,zip_derived_cl56,zip_derived_cl244,zip_derived_cl357]) ).
thf(zip_derived_cl8_1697,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('239',plain,
( ( sk_ != n5 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7813,zip_derived_cl8]) ).
thf(zip_derived_cl722_1698,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2641_1699,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2647,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_cl722,zip_derived_cl2641]) ).
thf(zip_derived_cl177_1700,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1701,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_1702,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1703,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1704,plain,
( ( sum @ n7 @ n11 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334_1705,plain,
( ( sum @ n12 @ n18 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7386,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n5 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2647,zip_derived_cl177,zip_derived_cl56,zip_derived_cl176,zip_derived_cl55,zip_derived_cl222,zip_derived_cl334]) ).
thf(zip_derived_cl11_1706,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('240',plain,
( ( sk_ != n5 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7386,zip_derived_cl11]) ).
thf(zip_derived_cl722_1707,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2329_1708,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2335,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_cl722,zip_derived_cl2329]) ).
thf(zip_derived_cl176_1709,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1710,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl175_1711,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1712,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_1713,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl311_1714,plain,
( ( sum @ n11 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7072,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n5 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2335,zip_derived_cl176,zip_derived_cl55,zip_derived_cl175,zip_derived_cl54,zip_derived_cl200,zip_derived_cl311]) ).
thf(zip_derived_cl14_1715,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('241',plain,
( ( sk_ != n5 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7072,zip_derived_cl14]) ).
thf(zip_derived_cl722_1716,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2018_1717,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2033,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_cl722,zip_derived_cl2018]) ).
thf(zip_derived_cl175_1718,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1719,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174_1720,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1721,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_1722,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_1723,plain,
( ( sum @ n10 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6797,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n5 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2033,zip_derived_cl175,zip_derived_cl54,zip_derived_cl174,zip_derived_cl53,zip_derived_cl178,zip_derived_cl288]) ).
thf(zip_derived_cl17_1724,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('242',plain,
( ( sk_ != n5 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6797,zip_derived_cl17]) ).
thf(zip_derived_cl722_1725,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1784_1726,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1799,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_cl722,zip_derived_cl1784]) ).
thf(zip_derived_cl174_1727,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1728,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl173_1729,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_1730,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_1731,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl265,plain,
( ( sum @ n9 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6693,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n5 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1799,zip_derived_cl174,zip_derived_cl53,zip_derived_cl173,zip_derived_cl52,zip_derived_cl156,zip_derived_cl265]) ).
thf(zip_derived_cl20_1732,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('243',plain,
( ( sk_ != n5 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6693,zip_derived_cl20]) ).
thf(zip_derived_cl722_1733,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1577_1734,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1589,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_cl722,zip_derived_cl1577]) ).
thf(zip_derived_cl173_1735,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_1736,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172_1737,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_1738,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_1739,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6628,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n5 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1589,zip_derived_cl173,zip_derived_cl52,zip_derived_cl172,zip_derived_cl51,zip_derived_cl134,zip_derived_cl242]) ).
thf(zip_derived_cl2_1740,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('244',plain,
( ( sk_ != n5 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6628,zip_derived_cl2]) ).
thf(zip_derived_cl722_1741,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1364_1742,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1370,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_cl722,zip_derived_cl1364]) ).
thf(zip_derived_cl171_1743,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_1744,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170_1745,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_1746,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_1747,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl196_1748,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6538,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n5 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1370,zip_derived_cl171,zip_derived_cl50,zip_derived_cl170,zip_derived_cl49,zip_derived_cl90,zip_derived_cl196]) ).
thf(zip_derived_cl8_1749,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('245',plain,
( ( sk_ != n5 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6538,zip_derived_cl8]) ).
thf(zip_derived_cl730_1750,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2641_1751,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2655,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n13 @ n7 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl2641]) ).
thf(zip_derived_cl345_1752,plain,
( ( sum @ n13 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1753,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl344_1754,plain,
( ( sum @ n13 @ n7 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1755,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230_1756,plain,
( ( sum @ n7 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7458,plain,
( ( sk__2
= ( sum @ n20 @ n5 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2655,zip_derived_cl345,zip_derived_cl43,zip_derived_cl344,zip_derived_cl63,zip_derived_cl230]) ).
thf(zip_derived_cl489_1757,plain,
( ( sum @ n20 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7898,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n13 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7458,zip_derived_cl489]) ).
thf(zip_derived_cl16_1758,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('246',plain,
( ( sk__1 != n7 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7898,zip_derived_cl16]) ).
thf(zip_derived_cl471,plain,
( ( sum @ n19 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_1759,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2641_1760,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2661,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n19 @ n7 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl2641]) ).
thf(zip_derived_cl7765,plain,
( ( sk__2
= ( sum @ ( pred @ n6 ) @ ( sum @ n7 @ ( pred @ ( sum @ n19 @ n7 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl471,zip_derived_cl2661]) ).
thf(zip_derived_cl49_1761,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl470_1762,plain,
( ( sum @ n19 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1763,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl215,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180_1764,plain,
( ( sum @ n5 @ n11 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7767,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n19 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7765,zip_derived_cl49,zip_derived_cl470,zip_derived_cl48,zip_derived_cl215,zip_derived_cl180]) ).
thf(zip_derived_cl4_1765,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('247',plain,
( ( sk__1 != n7 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7767,zip_derived_cl4]) ).
thf(zip_derived_cl729_1766,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2641_1767,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2654,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n12 @ n7 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl2641]) ).
thf(zip_derived_cl324_1768,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1769,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl323_1770,plain,
( ( sum @ n12 @ n7 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1771,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl229_1772,plain,
( ( sum @ n7 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7455,plain,
( ( sk__2
= ( sum @ n19 @ n4 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2654,zip_derived_cl324,zip_derived_cl63,zip_derived_cl323,zip_derived_cl62,zip_derived_cl229]) ).
thf(zip_derived_cl467,plain,
( ( sum @ n19 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7725,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n12 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7455,zip_derived_cl467]) ).
thf(zip_derived_cl18_1773,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('248',plain,
( ( sk__1 != n7 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7725,zip_derived_cl18]) ).
thf(zip_derived_cl450,plain,
( ( sum @ n18 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_1774,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2641_1775,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2660,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n18 @ n7 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl2641]) ).
thf(zip_derived_cl7598,plain,
( ( sk__2
= ( sum @ ( pred @ n5 ) @ ( sum @ n7 @ ( pred @ ( sum @ n18 @ n7 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl450,zip_derived_cl2660]) ).
thf(zip_derived_cl48_1776,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl449,plain,
( ( sum @ n18 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1777,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214_1778,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158_1779,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7600,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n18 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7598,zip_derived_cl48,zip_derived_cl449,zip_derived_cl47,zip_derived_cl214,zip_derived_cl158]) ).
thf(zip_derived_cl6_1780,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('249',plain,
( ( sk__1 != n7 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7600,zip_derived_cl6]) ).
thf(zip_derived_cl728_1781,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2641_1782,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2653,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n11 @ n7 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl2641]) ).
thf(zip_derived_cl303,plain,
( ( sum @ n11 @ n8 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1783,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl302,plain,
( ( sum @ n11 @ n7 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1784,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228_1785,plain,
( ( sum @ n7 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7425,plain,
( ( sk__2
= ( sum @ n18 @ n3 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2653,zip_derived_cl303,zip_derived_cl62,zip_derived_cl302,zip_derived_cl61,zip_derived_cl228]) ).
thf(zip_derived_cl445_1786,plain,
( ( sum @ n18 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7548,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n11 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7425,zip_derived_cl445]) ).
thf(zip_derived_cl20_1787,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('250',plain,
( ( sk__1 != n7 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7548,zip_derived_cl20]) ).
thf(zip_derived_cl734_1788,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2641_1789,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2659,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n17 @ n7 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl2641]) ).
thf(zip_derived_cl429_1790,plain,
( ( sum @ n17 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1791,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl428_1792,plain,
( ( sum @ n17 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1793,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl213_1794,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7467,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n17 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2659,zip_derived_cl429,zip_derived_cl47,zip_derived_cl428,zip_derived_cl46,zip_derived_cl213,zip_derived_cl136]) ).
thf(zip_derived_cl8_1795,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('251',plain,
( ( sk__1 != n7 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7467,zip_derived_cl8]) ).
thf(zip_derived_cl731_1796,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2641_1797,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2656,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n14 @ n7 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl2641]) ).
thf(zip_derived_cl366_1798,plain,
( ( sum @ n14 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1799,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl365_1800,plain,
( ( sum @ n14 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1801,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl231_1802,plain,
( ( sum @ n7 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_1803,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7461,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n14 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2656,zip_derived_cl366,zip_derived_cl44,zip_derived_cl365,zip_derived_cl43,zip_derived_cl231,zip_derived_cl70]) ).
thf(zip_derived_cl14_1804,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('252',plain,
( ( sk__1 != n7 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7461,zip_derived_cl14]) ).
thf(zip_derived_cl727_1805,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2641_1806,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2652,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_cl727,zip_derived_cl2641]) ).
thf(zip_derived_cl282_1807,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1808,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl281_1809,plain,
( ( sum @ n10 @ n7 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1810,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227_1811,plain,
( ( sum @ n7 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7401,plain,
( ( sk__2
= ( sum @ n17 @ n2 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2652,zip_derived_cl282,zip_derived_cl61,zip_derived_cl281,zip_derived_cl60,zip_derived_cl227]) ).
thf(zip_derived_cl423_1812,plain,
( ( sum @ n17 @ n2 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7415,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n10 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7401,zip_derived_cl423]) ).
thf(zip_derived_cl1_1813,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('253',plain,
( ( sk__1 != n7 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7415,zip_derived_cl1]) ).
thf(zip_derived_cl726_1814,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2641_1815,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2651,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_cl726,zip_derived_cl2641]) ).
thf(zip_derived_cl261_1816,plain,
( ( sum @ n9 @ n8 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1817,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl260_1818,plain,
( ( sum @ n9 @ n7 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1819,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_1820,plain,
( ( sum @ n7 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl401_1821,plain,
( ( sum @ n16 @ n1 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7399,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n9 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2651,zip_derived_cl261,zip_derived_cl60,zip_derived_cl260,zip_derived_cl59,zip_derived_cl226,zip_derived_cl401]) ).
thf(zip_derived_cl3_1822,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('254',plain,
( ( sk_ != n9 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7399,zip_derived_cl3]) ).
thf(zip_derived_cl725_1823,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2641_1824,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2650,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_cl725,zip_derived_cl2641]) ).
thf(zip_derived_cl240_1825,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1826,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl239_1827,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1828,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl225_1829,plain,
( ( sum @ n7 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl379_1830,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7397,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n8 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2650,zip_derived_cl240,zip_derived_cl59,zip_derived_cl239,zip_derived_cl58,zip_derived_cl225,zip_derived_cl379]) ).
thf(zip_derived_cl5_1831,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('255',plain,
( ( sk__1 != n7 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7397,zip_derived_cl5]) ).
thf(zip_derived_cl724_1832,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2641_1833,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2649,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_cl724,zip_derived_cl2641]) ).
thf(zip_derived_cl219_1834,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1835,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_1836,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1837,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_1838,plain,
( ( sum @ n7 @ n13 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_1839,plain,
( ( sum @ n14 @ n20 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7390,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n7 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2649,zip_derived_cl219,zip_derived_cl58,zip_derived_cl218,zip_derived_cl57,zip_derived_cl224,zip_derived_cl378]) ).
thf(zip_derived_cl7_1840,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('256',plain,
( ( sk__1 != n7 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7390,zip_derived_cl7]) ).
thf(zip_derived_cl723_1841,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2641_1842,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2648,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_cl723,zip_derived_cl2641]) ).
thf(zip_derived_cl198,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1843,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl197_1844,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1845,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl223_1846,plain,
( ( sum @ n7 @ n12 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl356,plain,
( ( sum @ n13 @ n19 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7388,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n6 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2648,zip_derived_cl198,zip_derived_cl57,zip_derived_cl197,zip_derived_cl56,zip_derived_cl223,zip_derived_cl356]) ).
thf(zip_derived_cl9_1847,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('257',plain,
( ( sk__1 != n7 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7388,zip_derived_cl9]) ).
thf(zip_derived_cl721_1848,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2641_1849,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2646,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_cl721,zip_derived_cl2641]) ).
thf(zip_derived_cl156_1850,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1851,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl155_1852,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1853,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221_1854,plain,
( ( sum @ n7 @ n10 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl312_1855,plain,
( ( sum @ n11 @ n17 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7382,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n4 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2646,zip_derived_cl156,zip_derived_cl55,zip_derived_cl155,zip_derived_cl54,zip_derived_cl221,zip_derived_cl312]) ).
thf(zip_derived_cl13_1856,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('258',plain,
( ( sk_ != n4 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7382,zip_derived_cl13]) ).
thf(zip_derived_cl720_1857,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2641_1858,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1039]) ).
thf(zip_derived_cl2645,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_cl720,zip_derived_cl2641]) ).
thf(zip_derived_cl135,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1859,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_1860,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1861,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_1862,plain,
( ( sum @ n10 @ n16 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7380,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n3 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2645,zip_derived_cl135,zip_derived_cl54,zip_derived_cl134,zip_derived_cl53,zip_derived_cl220,zip_derived_cl290]) ).
thf(zip_derived_cl15_1863,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('259',plain,
( ( sk__1 != n7 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7380,zip_derived_cl15]) ).
thf(zip_derived_cl723_1864,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4582_1865,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4589,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n6 @ n19 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl723,zip_derived_cl4582]) ).
thf(zip_derived_cl210_1866,plain,
( ( sum @ n6 @ n20 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1867,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl209_1868,plain,
( ( sum @ n6 @ n19 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1869,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl466_1870,plain,
( ( sum @ n19 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149_1871,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9661,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n6 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4589,zip_derived_cl210,zip_derived_cl48,zip_derived_cl209,zip_derived_cl47,zip_derived_cl466,zip_derived_cl149]) ).
thf(zip_derived_cl15_1872,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('260',plain,
( ( sk_ != n6 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9661,zip_derived_cl15]) ).
thf(zip_derived_cl723_1873,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4537_1874,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4544,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n6 @ n18 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl723,zip_derived_cl4537]) ).
thf(zip_derived_cl209_1875,plain,
( ( sum @ n6 @ n19 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1876,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl208_1877,plain,
( ( sum @ n6 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1878,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl444_1879,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147_1880,plain,
( ( sum @ n3 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9569,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n6 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4544,zip_derived_cl209,zip_derived_cl47,zip_derived_cl208,zip_derived_cl46,zip_derived_cl444,zip_derived_cl147]) ).
thf(zip_derived_cl18_1881,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('261',plain,
( ( sk_ != n6 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9569,zip_derived_cl18]) ).
thf(zip_derived_cl723_1882,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4375_1883,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4382,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n6 @ n15 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl723,zip_derived_cl4375]) ).
thf(zip_derived_cl206_1884,plain,
( ( sum @ n6 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1885,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl205_1886,plain,
( ( sum @ n6 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1887,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl399_1888,plain,
( ( sum @ n15 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_1889,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9291,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n6 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4382,zip_derived_cl206,zip_derived_cl44,zip_derived_cl205,zip_derived_cl43,zip_derived_cl399,zip_derived_cl78]) ).
thf(zip_derived_cl6_1890,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('262',plain,
( ( sk_ != n6 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9291,zip_derived_cl6]) ).
thf(zip_derived_cl723_1891,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4280_1892,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4287,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n6 @ n13 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl723,zip_derived_cl4280]) ).
thf(zip_derived_cl204_1893,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1894,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl203,plain,
( ( sum @ n6 @ n13 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1895,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl355_1896,plain,
( ( sum @ n13 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl473_1897,plain,
( ( sum @ n19 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9107,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n6 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4287,zip_derived_cl204,zip_derived_cl63,zip_derived_cl203,zip_derived_cl62,zip_derived_cl355,zip_derived_cl473]) ).
thf(zip_derived_cl12_1898,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('263',plain,
( ( sk_ != n6 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9107,zip_derived_cl12]) ).
thf(zip_derived_cl723_1899,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4235_1900,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4242,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n6 @ n12 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl723,zip_derived_cl4235]) ).
thf(zip_derived_cl203_1901,plain,
( ( sum @ n6 @ n13 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1902,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl202_1903,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1904,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl333_1905,plain,
( ( sum @ n12 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_1906,plain,
( ( sum @ n18 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9013,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n6 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4242,zip_derived_cl203,zip_derived_cl62,zip_derived_cl202,zip_derived_cl61,zip_derived_cl333,zip_derived_cl450]) ).
thf(zip_derived_cl15_1907,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('264',plain,
( ( sk_ != n6 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9013,zip_derived_cl15]) ).
thf(zip_derived_cl723_1908,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4188_1909,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl33]) ).
thf(zip_derived_cl4195,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n6 @ n11 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl723,zip_derived_cl4188]) ).
thf(zip_derived_cl202_1910,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1911,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl201_1912,plain,
( ( sum @ n6 @ n11 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1913,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl311_1914,plain,
( ( sum @ n11 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl427_1915,plain,
( ( sum @ n17 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8921,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n6 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4195,zip_derived_cl202,zip_derived_cl61,zip_derived_cl201,zip_derived_cl60,zip_derived_cl311,zip_derived_cl427]) ).
thf(zip_derived_cl18_1916,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('265',plain,
( ( sk_ != n6 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8921,zip_derived_cl18]) ).
thf(zip_derived_cl723_1917,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl3261_1918,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3268,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_cl723,zip_derived_cl3261]) ).
thf(zip_derived_cl200_1919,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1920,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl199_1921,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1922,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl267_1923,plain,
( ( sum @ n9 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl381_1924,plain,
( ( sum @ n15 @ n2 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8169,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n6 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3268,zip_derived_cl200,zip_derived_cl59,zip_derived_cl199,zip_derived_cl58,zip_derived_cl267,zip_derived_cl381]) ).
thf(zip_derived_cl3_1925,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('266',plain,
( ( sk_ != n6 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8169,zip_derived_cl3]) ).
thf(zip_derived_cl723_1926,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2945_1927,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2952,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_cl723,zip_derived_cl2945]) ).
thf(zip_derived_cl199_1928,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1929,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_1930,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1931,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_1932,plain,
( ( sum @ n8 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl358_1933,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7815,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n6 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2952,zip_derived_cl199,zip_derived_cl58,zip_derived_cl198,zip_derived_cl57,zip_derived_cl245,zip_derived_cl358]) ).
thf(zip_derived_cl6_1934,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('267',plain,
( ( sk_ != n6 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7815,zip_derived_cl6]) ).
thf(zip_derived_cl723_1935,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2329_1936,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2336,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_cl723,zip_derived_cl2329]) ).
thf(zip_derived_cl197_1937,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1938,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl196_1939,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1940,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl201_1941,plain,
( ( sum @ n6 @ n11 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl333_1942,plain,
( ( sum @ n12 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7074,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n6 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2336,zip_derived_cl197,zip_derived_cl56,zip_derived_cl196,zip_derived_cl55,zip_derived_cl201,zip_derived_cl333]) ).
thf(zip_derived_cl12_1943,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('268',plain,
( ( sk_ != n6 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7074,zip_derived_cl12]) ).
thf(zip_derived_cl723_1944,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2018_1945,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2034,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_cl723,zip_derived_cl2018]) ).
thf(zip_derived_cl196_1946,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1947,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl195_1948,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1949,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl179_1950,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_1951,plain,
( ( sum @ n11 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6799,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n6 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2034,zip_derived_cl196,zip_derived_cl55,zip_derived_cl195,zip_derived_cl54,zip_derived_cl179,zip_derived_cl310]) ).
thf(zip_derived_cl15_1952,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('269',plain,
( ( sk_ != n6 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6799,zip_derived_cl15]) ).
thf(zip_derived_cl723_1953,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1784_1954,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1800,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_cl723,zip_derived_cl1784]) ).
thf(zip_derived_cl195_1955,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1956,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_1957,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1958,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl157,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl287_1959,plain,
( ( sum @ n10 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6695,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n6 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1800,zip_derived_cl195,zip_derived_cl54,zip_derived_cl194,zip_derived_cl53,zip_derived_cl157,zip_derived_cl287]) ).
thf(zip_derived_cl18_1960,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('270',plain,
( ( sk_ != n6 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6695,zip_derived_cl18]) ).
thf(zip_derived_cl723_1961,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1577_1962,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1590,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_cl723,zip_derived_cl1577]) ).
thf(zip_derived_cl194_1963,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1964,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl193_1965,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_1966,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_1967,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_1968,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6630,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n6 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1590,zip_derived_cl194,zip_derived_cl53,zip_derived_cl193,zip_derived_cl52,zip_derived_cl135,zip_derived_cl264]) ).
thf(zip_derived_cl0_1969,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('271',plain,
( ( sk_ != n6 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6630,zip_derived_cl0]) ).
thf(zip_derived_cl723_1970,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1364_1971,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1371,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_cl723,zip_derived_cl1364]) ).
thf(zip_derived_cl192_1972,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_1973,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_1974,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_1975,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_1976,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_1977,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6540,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n6 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1371,zip_derived_cl192,zip_derived_cl51,zip_derived_cl191,zip_derived_cl50,zip_derived_cl91,zip_derived_cl218]) ).
thf(zip_derived_cl6_1978,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('272',plain,
( ( sk_ != n6 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6540,zip_derived_cl6]) ).
thf(zip_derived_cl736_1979,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4188_1980,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl33]) ).
thf(zip_derived_cl4208,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n19 @ n11 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl4188]) ).
thf(zip_derived_cl475_1981,plain,
( ( sum @ n19 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1982,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl474_1983,plain,
( ( sum @ n19 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_1984,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl303_1985,plain,
( ( sum @ n11 @ n8 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272,plain,
( ( sum @ n9 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8949,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n19 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4208,zip_derived_cl475,zip_derived_cl53,zip_derived_cl474,zip_derived_cl52,zip_derived_cl303,zip_derived_cl272]) ).
thf(zip_derived_cl13_1986,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('273',plain,
( ( sk__1 != n11 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8949,zip_derived_cl13]) ).
thf(zip_derived_cl735_1987,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4188_1988,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl33]) ).
thf(zip_derived_cl4207,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n18 @ n11 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl4188]) ).
thf(zip_derived_cl454_1989,plain,
( ( sum @ n18 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_1990,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl453_1991,plain,
( ( sum @ n18 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_1992,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl302_1993,plain,
( ( sum @ n11 @ n7 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl250_1994,plain,
( ( sum @ n8 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8947,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n18 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4207,zip_derived_cl454,zip_derived_cl52,zip_derived_cl453,zip_derived_cl51,zip_derived_cl302,zip_derived_cl250]) ).
thf(zip_derived_cl15_1995,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('274',plain,
( ( sk__1 != n11 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8947,zip_derived_cl15]) ).
thf(zip_derived_cl734_1996,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4188_1997,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl33]) ).
thf(zip_derived_cl4206,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n17 @ n11 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl4188]) ).
thf(zip_derived_cl433_1998,plain,
( ( sum @ n17 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_1999,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_2000,plain,
( ( sum @ n17 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2001,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl301_2002,plain,
( ( sum @ n11 @ n6 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228_2003,plain,
( ( sum @ n7 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8945,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n17 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4206,zip_derived_cl433,zip_derived_cl51,zip_derived_cl432,zip_derived_cl50,zip_derived_cl301,zip_derived_cl228]) ).
thf(zip_derived_cl17_2004,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('275',plain,
( ( sk__1 != n11 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8945,zip_derived_cl17]) ).
thf(zip_derived_cl731_2005,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4188_2006,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl33]) ).
thf(zip_derived_cl4203,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n14 @ n11 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl4188]) ).
thf(zip_derived_cl370_2007,plain,
( ( sum @ n14 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_2008,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl369_2009,plain,
( ( sum @ n14 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_2010,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl298_2011,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_2012,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8939,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n14 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4203,zip_derived_cl370,zip_derived_cl48,zip_derived_cl369,zip_derived_cl47,zip_derived_cl298,zip_derived_cl162]) ).
thf(zip_derived_cl2_2013,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('276',plain,
( ( sk__1 != n11 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8939,zip_derived_cl2]) ).
thf(zip_derived_cl730_2014,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4188_2015,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl33]) ).
thf(zip_derived_cl4202,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n13 @ n11 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl4188]) ).
thf(zip_derived_cl349_2016,plain,
( ( sum @ n13 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_2017,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl348_2018,plain,
( ( sum @ n13 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_2019,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_2020,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140,plain,
( ( sum @ n3 @ n13 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8937,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n13 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4202,zip_derived_cl349,zip_derived_cl47,zip_derived_cl348,zip_derived_cl46,zip_derived_cl297,zip_derived_cl140]) ).
thf(zip_derived_cl4_2021,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('277',plain,
( ( sk__1 != n11 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8937,zip_derived_cl4]) ).
thf(zip_derived_cl729_2022,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4188_2023,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl33]) ).
thf(zip_derived_cl4201,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n12 @ n11 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl4188]) ).
thf(zip_derived_cl328_2024,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_2025,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl327_2026,plain,
( ( sum @ n12 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_2027,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl296_2028,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118_2029,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8935,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n12 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4201,zip_derived_cl328,zip_derived_cl46,zip_derived_cl327,zip_derived_cl45,zip_derived_cl296,zip_derived_cl118]) ).
thf(zip_derived_cl6_2030,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('278',plain,
( ( sk__1 != n11 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8935,zip_derived_cl6]) ).
thf(zip_derived_cl728_2031,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4188_2032,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl33]) ).
thf(zip_derived_cl4200,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n11 @ n11 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl4188]) ).
thf(zip_derived_cl307_2033,plain,
( ( sum @ n11 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_2034,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl306_2035,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_2036,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl295_2037,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_2038,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8933,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n11 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4200,zip_derived_cl307,zip_derived_cl45,zip_derived_cl306,zip_derived_cl44,zip_derived_cl295,zip_derived_cl96]) ).
thf(zip_derived_cl8_2039,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('279',plain,
( ( sk__1 != n11 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8933,zip_derived_cl8]) ).
thf(zip_derived_cl727_2040,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4188_2041,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl33]) ).
thf(zip_derived_cl4199,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n10 @ n11 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl4188]) ).
thf(zip_derived_cl286_2042,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_2043,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl285_2044,plain,
( ( sum @ n10 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_2045,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl315_2046,plain,
( ( sum @ n11 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2047,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8931,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n10 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4199,zip_derived_cl286,zip_derived_cl44,zip_derived_cl285,zip_derived_cl43,zip_derived_cl315,zip_derived_cl74]) ).
thf(zip_derived_cl10_2048,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('280',plain,
( ( sk__1 != n11 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8931,zip_derived_cl10]) ).
thf(zip_derived_cl726_2049,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4188_2050,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl33]) ).
thf(zip_derived_cl4198,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n9 @ n11 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl726,zip_derived_cl4188]) ).
thf(zip_derived_cl265_2051,plain,
( ( sum @ n9 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_2052,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_2053,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2054,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl314_2055,plain,
( ( sum @ n11 @ n19 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl493_2056,plain,
( ( sum @ n20 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8927,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n9 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4198,zip_derived_cl265,zip_derived_cl43,zip_derived_cl264,zip_derived_cl63,zip_derived_cl314,zip_derived_cl493]) ).
thf(zip_derived_cl12_2057,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('281',plain,
( ( sk_ != n9 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8927,zip_derived_cl12]) ).
thf(zip_derived_cl725_2058,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4188_2059,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl33]) ).
thf(zip_derived_cl4197,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n8 @ n11 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl725,zip_derived_cl4188]) ).
thf(zip_derived_cl244_2060,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2061,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_2062,plain,
( ( sum @ n8 @ n11 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_2063,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl313_2064,plain,
( ( sum @ n11 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl471_2065,plain,
( ( sum @ n19 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8925,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n8 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4197,zip_derived_cl244,zip_derived_cl63,zip_derived_cl243,zip_derived_cl62,zip_derived_cl313,zip_derived_cl471]) ).
thf(zip_derived_cl14_2066,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('282',plain,
( ( sk__1 != n11 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8925,zip_derived_cl14]) ).
thf(zip_derived_cl724_2067,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4188_2068,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl33]) ).
thf(zip_derived_cl4196,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n7 @ n11 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl724,zip_derived_cl4188]) ).
thf(zip_derived_cl223_2069,plain,
( ( sum @ n7 @ n12 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_2070,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_2071,plain,
( ( sum @ n7 @ n11 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2072,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl312_2073,plain,
( ( sum @ n11 @ n17 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl449_2074,plain,
( ( sum @ n18 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8923,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n7 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4196,zip_derived_cl223,zip_derived_cl62,zip_derived_cl222,zip_derived_cl61,zip_derived_cl312,zip_derived_cl449]) ).
thf(zip_derived_cl16_2075,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('283',plain,
( ( sk__1 != n11 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8923,zip_derived_cl16]) ).
thf(zip_derived_cl721_2076,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4188_2077,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl33]) ).
thf(zip_derived_cl4193,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n4 @ n11 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl721,zip_derived_cl4188]) ).
thf(zip_derived_cl160_2078,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_2079,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl159_2080,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_2081,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl309_2082,plain,
( ( sum @ n11 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl383_2083,plain,
( ( sum @ n15 @ n4 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8917,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n4 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4193,zip_derived_cl160,zip_derived_cl59,zip_derived_cl159,zip_derived_cl58,zip_derived_cl309,zip_derived_cl383]) ).
thf(zip_derived_cl1_2084,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('284',plain,
( ( sk_ != n4 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8917,zip_derived_cl1]) ).
thf(zip_derived_cl720_2085,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4188_2086,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl33]) ).
thf(zip_derived_cl4192,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n3 @ n11 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl720,zip_derived_cl4188]) ).
thf(zip_derived_cl139_2087,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_2088,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138_2089,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_2090,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl361_2091,plain,
( ( sum @ n14 @ n3 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8915,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n3 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4192,zip_derived_cl139,zip_derived_cl58,zip_derived_cl138,zip_derived_cl57,zip_derived_cl308,zip_derived_cl361]) ).
thf(zip_derived_cl3_2092,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('285',plain,
( ( sk__1 != n11 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8915,zip_derived_cl3]) ).
thf(zip_derived_cl730_2093,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4582_2094,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4596,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n13 @ n19 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl4582]) ).
thf(zip_derived_cl357_2095,plain,
( ( sum @ n13 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2096,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl356_2097,plain,
( ( sum @ n13 @ n19 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2098,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl473_2099,plain,
( ( sum @ n19 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl303_2100,plain,
( ( sum @ n11 @ n8 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9675,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n13 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4596,zip_derived_cl357,zip_derived_cl55,zip_derived_cl356,zip_derived_cl54,zip_derived_cl473,zip_derived_cl303]) ).
thf(zip_derived_cl1_2101,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('286',plain,
( ( sk_ != n13 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9675,zip_derived_cl1]) ).
thf(zip_derived_cl730_2102,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4537_2103,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4551,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n13 @ n18 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl4537]) ).
thf(zip_derived_cl356_2104,plain,
( ( sum @ n13 @ n19 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2105,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl355_2106,plain,
( ( sum @ n13 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2107,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl451_2108,plain,
( ( sum @ n18 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280_2109,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9583,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n13 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4551,zip_derived_cl356,zip_derived_cl54,zip_derived_cl355,zip_derived_cl53,zip_derived_cl451,zip_derived_cl280]) ).
thf(zip_derived_cl4_2110,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('287',plain,
( ( sk_ != n13 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9583,zip_derived_cl4]) ).
thf(zip_derived_cl730_2111,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4375_2112,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4389,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n13 @ n15 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl4375]) ).
thf(zip_derived_cl353_2113,plain,
( ( sum @ n13 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_2114,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_2115,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2116,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl385_2117,plain,
( ( sum @ n15 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl211_2118,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9307,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n13 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4389,zip_derived_cl353,zip_derived_cl51,zip_derived_cl352,zip_derived_cl50,zip_derived_cl385,zip_derived_cl211]) ).
thf(zip_derived_cl13_2119,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('288',plain,
( ( sk_ != n13 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9307,zip_derived_cl13]) ).
thf(zip_derived_cl730_2120,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4280_2121,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4294,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n13 @ n13 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl4280]) ).
thf(zip_derived_cl351_2122,plain,
( ( sum @ n13 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_2123,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl350_2124,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_2125,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl341_2126,plain,
( ( sum @ n13 @ n4 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl186_2127,plain,
( ( sum @ n5 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9121,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n13 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4294,zip_derived_cl351,zip_derived_cl49,zip_derived_cl350,zip_derived_cl48,zip_derived_cl341,zip_derived_cl186]) ).
thf(zip_derived_cl19_2128,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('289',plain,
( ( sk_ != n13 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9121,zip_derived_cl19]) ).
thf(zip_derived_cl730_2129,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4235_2130,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4249,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n13 @ n12 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl4235]) ).
thf(zip_derived_cl350_2131,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_2132,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl349_2133,plain,
( ( sum @ n13 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_2134,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl319_2135,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl163_2136,plain,
( ( sum @ n4 @ n15 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9029,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n13 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4249,zip_derived_cl350,zip_derived_cl48,zip_derived_cl349,zip_derived_cl47,zip_derived_cl319,zip_derived_cl163]) ).
thf(zip_derived_cl1_2137,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('290',plain,
( ( sk_ != n13 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9029,zip_derived_cl1]) ).
thf(zip_derived_cl730_2138,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl3261_2139,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3275,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n13 @ n9 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl3261]) ).
thf(zip_derived_cl347_2140,plain,
( ( sum @ n13 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_2141,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl346_2142,plain,
( ( sum @ n13 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_2143,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl253_2144,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94_2145,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8185,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n13 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3275,zip_derived_cl347,zip_derived_cl45,zip_derived_cl346,zip_derived_cl44,zip_derived_cl253,zip_derived_cl94]) ).
thf(zip_derived_cl10_2146,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('291',plain,
( ( sk_ != n13 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8185,zip_derived_cl10]) ).
thf(zip_derived_cl730_2147,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2945_2148,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2959,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n13 @ n8 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl2945]) ).
thf(zip_derived_cl346_2149,plain,
( ( sum @ n13 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_2150,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl345_2151,plain,
( ( sum @ n13 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_2152,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl252_2153,plain,
( ( sum @ n8 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_2154,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7832,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n13 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2959,zip_derived_cl346,zip_derived_cl44,zip_derived_cl345,zip_derived_cl43,zip_derived_cl252,zip_derived_cl71]) ).
thf(zip_derived_cl13_2155,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('292',plain,
( ( sk_ != n13 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7832,zip_derived_cl13]) ).
thf(zip_derived_cl730_2156,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2329_2157,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2343,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n13 @ n6 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl2329]) ).
thf(zip_derived_cl344_2158,plain,
( ( sum @ n13 @ n7 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2159,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl343_2160,plain,
( ( sum @ n13 @ n6 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_2161,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl208_2162,plain,
( ( sum @ n6 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7090,plain,
( ( sk__2
= ( sum @ n19 @ n3 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2343,zip_derived_cl344,zip_derived_cl63,zip_derived_cl343,zip_derived_cl62,zip_derived_cl208]) ).
thf(zip_derived_cl466_2163,plain,
( ( sum @ n19 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7712,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n13 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7090,zip_derived_cl466]) ).
thf(zip_derived_cl19_2164,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('293',plain,
( ( sk_ != n13 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7712,zip_derived_cl19]) ).
thf(zip_derived_cl343_2165,plain,
( ( sum @ n13 @ n6 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730_2166,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2018_2167,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2041,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n13 @ n5 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl2018]) ).
thf(zip_derived_cl6933,plain,
( ( sk__2
= ( sum @ ( pred @ n19 ) @ ( sum @ n5 @ ( pred @ ( sum @ n13 @ n5 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl2041]) ).
thf(zip_derived_cl62_2168,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl342_2169,plain,
( ( sum @ n13 @ n5 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2170,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl186_2171,plain,
( ( sum @ n5 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6934,plain,
( ( sk__2
= ( sum @ n18 @ n1 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6933,zip_derived_cl62,zip_derived_cl342,zip_derived_cl61,zip_derived_cl186]) ).
thf(zip_derived_cl443_2172,plain,
( ( sum @ n18 @ n1 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7530,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n13 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6934,zip_derived_cl443]) ).
thf(zip_derived_cl1_2173,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('294',plain,
( ( sk_ != n13 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7530,zip_derived_cl1]) ).
thf(zip_derived_cl342_2174,plain,
( ( sum @ n13 @ n5 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730_2175,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1784_2176,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1807,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n13 @ n4 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl1784]) ).
thf(zip_derived_cl6927,plain,
( ( sk__2
= ( sum @ ( pred @ n18 ) @ ( sum @ n4 @ ( pred @ ( sum @ n13 @ n4 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl342,zip_derived_cl1807]) ).
thf(zip_derived_cl61_2177,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl341_2178,plain,
( ( sum @ n13 @ n4 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_2179,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_2180,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6930,plain,
( ( sk__2
= ( sum @ n17 @ n20 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6927,zip_derived_cl61,zip_derived_cl341,zip_derived_cl60,zip_derived_cl164]) ).
thf(zip_derived_cl441_2181,plain,
( ( sum @ n17 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7510,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n13 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6930,zip_derived_cl441]) ).
thf(zip_derived_cl4_2182,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('295',plain,
( ( sk_ != n13 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7510,zip_derived_cl4]) ).
thf(zip_derived_cl341_2183,plain,
( ( sum @ n13 @ n4 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730_2184,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1577_2185,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1597,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n13 @ n3 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl1577]) ).
thf(zip_derived_cl6920,plain,
( ( sk__2
= ( sum @ ( pred @ n17 ) @ ( sum @ n3 @ ( pred @ ( sum @ n13 @ n3 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl341,zip_derived_cl1597]) ).
thf(zip_derived_cl60_2186,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl340_2187,plain,
( ( sum @ n13 @ n3 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_2188,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142_2189,plain,
( ( sum @ n3 @ n15 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6922,plain,
( ( sk__2
= ( sum @ n16 @ n18 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6920,zip_derived_cl60,zip_derived_cl340,zip_derived_cl59,zip_derived_cl142]) ).
thf(zip_derived_cl418_2190,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7366,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n13 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6922,zip_derived_cl418]) ).
thf(zip_derived_cl7_2191,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('296',plain,
( ( sk_ != n13 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7366,zip_derived_cl7]) ).
thf(zip_derived_cl339_2192,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730_2193,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1364_2194,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1378,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n13 @ n1 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl1364]) ).
thf(zip_derived_cl6909,plain,
( ( sk__2
= ( sum @ ( pred @ n15 ) @ ( sum @ n1 @ ( pred @ ( sum @ n13 @ n1 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl339,zip_derived_cl1378]) ).
thf(zip_derived_cl58_2195,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl338_2196,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_2197,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2198,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6912,plain,
( ( sk__2
= ( sum @ n14 @ n14 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6909,zip_derived_cl58,zip_derived_cl338,zip_derived_cl57,zip_derived_cl98]) ).
thf(zip_derived_cl372_2199,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7096,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n13 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6912,zip_derived_cl372]) ).
thf(zip_derived_cl13_2200,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('297',plain,
( ( sk_ != n13 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7096,zip_derived_cl13]) ).
thf(zip_derived_cl736_2201,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl3261_2202,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3281,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n19 @ n9 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl3261]) ).
thf(zip_derived_cl473_2203,plain,
( ( sum @ n19 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_2204,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl472,plain,
( ( sum @ n19 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2205,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl259,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_2206,plain,
( ( sum @ n7 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8197,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n19 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3281,zip_derived_cl473,zip_derived_cl51,zip_derived_cl472,zip_derived_cl50,zip_derived_cl259,zip_derived_cl226]) ).
thf(zip_derived_cl19_2207,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('298',plain,
( ( sk__1 != n9 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8197,zip_derived_cl19]) ).
thf(zip_derived_cl735_2208,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl3261_2209,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3280,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n18 @ n9 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl3261]) ).
thf(zip_derived_cl452_2210,plain,
( ( sum @ n18 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2211,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl451_2212,plain,
( ( sum @ n18 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_2213,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl204_2214,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8195,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n18 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3280,zip_derived_cl452,zip_derived_cl50,zip_derived_cl451,zip_derived_cl49,zip_derived_cl258,zip_derived_cl204]) ).
thf(zip_derived_cl0_2215,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('299',plain,
( ( sk__1 != n9 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8195,zip_derived_cl0]) ).
thf(zip_derived_cl734_2216,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl3261_2217,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3279,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n17 @ n9 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl3261]) ).
thf(zip_derived_cl431_2218,plain,
( ( sum @ n17 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_2219,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl430_2220,plain,
( ( sum @ n17 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_2221,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl257_2222,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182_2223,plain,
( ( sum @ n5 @ n13 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8193,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n17 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3279,zip_derived_cl431,zip_derived_cl49,zip_derived_cl430,zip_derived_cl48,zip_derived_cl257,zip_derived_cl182]) ).
thf(zip_derived_cl2_2224,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('300',plain,
( ( sk__1 != n9 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8193,zip_derived_cl2]) ).
thf(zip_derived_cl731_2225,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl3261_2226,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3276,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n14 @ n9 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl3261]) ).
thf(zip_derived_cl368_2227,plain,
( ( sum @ n14 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_2228,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl367_2229,plain,
( ( sum @ n14 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_2230,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl254_2231,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116_2232,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8187,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n14 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3276,zip_derived_cl368,zip_derived_cl46,zip_derived_cl367,zip_derived_cl45,zip_derived_cl254,zip_derived_cl116]) ).
thf(zip_derived_cl8_2233,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('301',plain,
( ( sk__1 != n9 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8187,zip_derived_cl8]) ).
thf(zip_derived_cl729_2234,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl3261_2235,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3274,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n12 @ n9 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl3261]) ).
thf(zip_derived_cl326_2236,plain,
( ( sum @ n12 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_2237,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl325,plain,
( ( sum @ n12 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_2238,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl273_2239,plain,
( ( sum @ n9 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2240,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8183,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n12 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3274,zip_derived_cl326,zip_derived_cl44,zip_derived_cl325,zip_derived_cl43,zip_derived_cl273,zip_derived_cl72]) ).
thf(zip_derived_cl12_2241,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('302',plain,
( ( sk__1 != n9 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8183,zip_derived_cl12]) ).
thf(zip_derived_cl728_2242,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl3261_2243,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3273,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n11 @ n9 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl3261]) ).
thf(zip_derived_cl305_2244,plain,
( ( sum @ n11 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_2245,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl304_2246,plain,
( ( sum @ n11 @ n9 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2247,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_2248,plain,
( ( sum @ n9 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl491_2249,plain,
( ( sum @ n20 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8179,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n11 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3273,zip_derived_cl305,zip_derived_cl43,zip_derived_cl304,zip_derived_cl63,zip_derived_cl272,zip_derived_cl491]) ).
thf(zip_derived_cl14_2250,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('303',plain,
( ( sk__1 != n9 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8179,zip_derived_cl14]) ).
thf(zip_derived_cl727_2251,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl3261_2252,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3272,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_cl727,zip_derived_cl3261]) ).
thf(zip_derived_cl284_2253,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2254,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl283_2255,plain,
( ( sum @ n10 @ n9 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_2256,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl271_2257,plain,
( ( sum @ n9 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl469,plain,
( ( sum @ n19 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8177,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n10 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3272,zip_derived_cl284,zip_derived_cl63,zip_derived_cl283,zip_derived_cl62,zip_derived_cl271,zip_derived_cl469]) ).
thf(zip_derived_cl16_2258,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('304',plain,
( ( sk__1 != n9 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8177,zip_derived_cl16]) ).
thf(zip_derived_cl726_2259,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl3261_2260,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3271,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_cl726,zip_derived_cl3261]) ).
thf(zip_derived_cl263_2261,plain,
( ( sum @ n9 @ n10 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_2262,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262_2263,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2264,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_2265,plain,
( ( sum @ n9 @ n17 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl447,plain,
( ( sum @ n18 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8175,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n9 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3271,zip_derived_cl263,zip_derived_cl62,zip_derived_cl262,zip_derived_cl61,zip_derived_cl270,zip_derived_cl447]) ).
thf(zip_derived_cl18_2266,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('305',plain,
( ( sk_ != n9 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8175,zip_derived_cl18]) ).
thf(zip_derived_cl725_2267,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl3261_2268,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3270,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_cl725,zip_derived_cl3261]) ).
thf(zip_derived_cl242_2269,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2270,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl241_2271,plain,
( ( sum @ n8 @ n9 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_2272,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl269_2273,plain,
( ( sum @ n9 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl425_2274,plain,
( ( sum @ n17 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8173,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n8 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3270,zip_derived_cl242,zip_derived_cl61,zip_derived_cl241,zip_derived_cl60,zip_derived_cl269,zip_derived_cl425]) ).
thf(zip_derived_cl20_2275,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('306',plain,
( ( sk__1 != n9 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8173,zip_derived_cl20]) ).
thf(zip_derived_cl724_2276,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl3261_2277,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3269,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_cl724,zip_derived_cl3261]) ).
thf(zip_derived_cl221_2278,plain,
( ( sum @ n7 @ n10 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_2279,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_2280,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_2281,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268_2282,plain,
( ( sum @ n9 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl403_2283,plain,
( ( sum @ n16 @ n3 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8171,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n7 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3269,zip_derived_cl221,zip_derived_cl60,zip_derived_cl220,zip_derived_cl59,zip_derived_cl268,zip_derived_cl403]) ).
thf(zip_derived_cl1_2284,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('307',plain,
( ( sk__1 != n9 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8171,zip_derived_cl1]) ).
thf(zip_derived_cl721_2285,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl3261_2286,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3266,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_cl721,zip_derived_cl3261]) ).
thf(zip_derived_cl158_2287,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_2288,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl157_2289,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_2290,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl265_2291,plain,
( ( sum @ n9 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl337_2292,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8165,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n4 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3266,zip_derived_cl158,zip_derived_cl57,zip_derived_cl157,zip_derived_cl56,zip_derived_cl265,zip_derived_cl337]) ).
thf(zip_derived_cl7_2293,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('308',plain,
( ( sk_ != n4 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8165,zip_derived_cl7]) ).
thf(zip_derived_cl720_2294,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl3261_2295,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1041]) ).
thf(zip_derived_cl3265,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_cl720,zip_derived_cl3261]) ).
thf(zip_derived_cl137_2296,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_2297,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136_2298,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2299,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_2300,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl336_2301,plain,
( ( sum @ n12 @ n20 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8163,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n3 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3265,zip_derived_cl137,zip_derived_cl56,zip_derived_cl136,zip_derived_cl55,zip_derived_cl264,zip_derived_cl336]) ).
thf(zip_derived_cl9_2302,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('309',plain,
( ( sk__1 != n9 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8163,zip_derived_cl9]) ).
thf(zip_derived_cl724_2303,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4582_2304,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4590,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n7 @ n19 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl724,zip_derived_cl4582]) ).
thf(zip_derived_cl231_2305,plain,
( ( sum @ n7 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_2306,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230_2307,plain,
( ( sum @ n7 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_2308,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl467_2309,plain,
( ( sum @ n19 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl171_2310,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9663,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n7 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4590,zip_derived_cl231,zip_derived_cl49,zip_derived_cl230,zip_derived_cl48,zip_derived_cl467,zip_derived_cl171]) ).
thf(zip_derived_cl13_2311,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('310',plain,
( ( sk_ != n7 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9663,zip_derived_cl13]) ).
thf(zip_derived_cl724_2312,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4537_2313,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4545,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n7 @ n18 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl724,zip_derived_cl4537]) ).
thf(zip_derived_cl230_2314,plain,
( ( sum @ n7 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_2315,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl229_2316,plain,
( ( sum @ n7 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_2317,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl445_2318,plain,
( ( sum @ n18 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148_2319,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9571,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n7 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4545,zip_derived_cl230,zip_derived_cl48,zip_derived_cl229,zip_derived_cl47,zip_derived_cl445,zip_derived_cl148]) ).
thf(zip_derived_cl16_2320,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('311',plain,
( ( sk_ != n7 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9571,zip_derived_cl16]) ).
thf(zip_derived_cl724_2321,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4375_2322,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4383,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n7 @ n15 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl724,zip_derived_cl4375]) ).
thf(zip_derived_cl227_2323,plain,
( ( sum @ n7 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_2324,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_2325,plain,
( ( sum @ n7 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_2326,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl379_2327,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100_2328,plain,
( ( sum @ n1 @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9293,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n7 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4383,zip_derived_cl227,zip_derived_cl45,zip_derived_cl226,zip_derived_cl44,zip_derived_cl379,zip_derived_cl100]) ).
thf(zip_derived_cl4_2329,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('312',plain,
( ( sk_ != n7 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9293,zip_derived_cl4]) ).
thf(zip_derived_cl724_2330,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4280_2331,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4288,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n7 @ n13 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl724,zip_derived_cl4280]) ).
thf(zip_derived_cl225_2332,plain,
( ( sum @ n7 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_2333,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_2334,plain,
( ( sum @ n7 @ n13 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2335,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl356_2336,plain,
( ( sum @ n13 @ n19 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl495_2337,plain,
( ( sum @ n20 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9109,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n7 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4288,zip_derived_cl225,zip_derived_cl43,zip_derived_cl224,zip_derived_cl63,zip_derived_cl356,zip_derived_cl495]) ).
thf(zip_derived_cl10_2338,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('313',plain,
( ( sk_ != n7 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9109,zip_derived_cl10]) ).
thf(zip_derived_cl724_2339,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4235_2340,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4243,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n7 @ n12 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl724,zip_derived_cl4235]) ).
thf(zip_derived_cl224_2341,plain,
( ( sum @ n7 @ n13 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2342,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl223_2343,plain,
( ( sum @ n7 @ n12 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_2344,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334_2345,plain,
( ( sum @ n12 @ n18 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl472_2346,plain,
( ( sum @ n19 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9015,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n7 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4243,zip_derived_cl224,zip_derived_cl63,zip_derived_cl223,zip_derived_cl62,zip_derived_cl334,zip_derived_cl472]) ).
thf(zip_derived_cl13_2347,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('314',plain,
( ( sk_ != n7 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9015,zip_derived_cl13]) ).
thf(zip_derived_cl724_2348,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2945_2349,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2953,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_cl724,zip_derived_cl2945]) ).
thf(zip_derived_cl220_2350,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_2351,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219_2352,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_2353,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl246_2354,plain,
( ( sum @ n8 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_2355,plain,
( ( sum @ n15 @ n1 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7817,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n7 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2953,zip_derived_cl220,zip_derived_cl59,zip_derived_cl219,zip_derived_cl58,zip_derived_cl246,zip_derived_cl380]) ).
thf(zip_derived_cl4_2356,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('315',plain,
( ( sk_ != n7 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7817,zip_derived_cl4]) ).
thf(zip_derived_cl724_2357,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2329_2358,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2337,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_cl724,zip_derived_cl2329]) ).
thf(zip_derived_cl218_2359,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_2360,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl217_2361,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_2362,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl202_2363,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl355_2364,plain,
( ( sum @ n13 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7076,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n7 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2337,zip_derived_cl218,zip_derived_cl57,zip_derived_cl217,zip_derived_cl56,zip_derived_cl202,zip_derived_cl355]) ).
thf(zip_derived_cl10_2365,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('316',plain,
( ( sk_ != n7 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7076,zip_derived_cl10]) ).
thf(zip_derived_cl724_2366,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2018_2367,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2035,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_cl724,zip_derived_cl2018]) ).
thf(zip_derived_cl217_2368,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_2369,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_2370,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2371,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180_2372,plain,
( ( sum @ n5 @ n11 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6801,plain,
( ( sk__2
= ( sum @ n12 @ n16 ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2035,zip_derived_cl217,zip_derived_cl56,zip_derived_cl216,zip_derived_cl55,zip_derived_cl180]) ).
thf(zip_derived_cl332_2373,plain,
( ( sum @ n12 @ n16 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6869,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n7 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6801,zip_derived_cl332]) ).
thf(zip_derived_cl13_2374,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('317',plain,
( ( sk_ != n7 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6869,zip_derived_cl13]) ).
thf(zip_derived_cl724_2375,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1784_2376,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1801,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_cl724,zip_derived_cl1784]) ).
thf(zip_derived_cl216_2377,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2378,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl215_2379,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2380,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158_2381,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6697,plain,
( ( sk__2
= ( sum @ n11 @ n14 ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl216,zip_derived_cl55,zip_derived_cl215,zip_derived_cl54,zip_derived_cl158]) ).
thf(zip_derived_cl309_2382,plain,
( ( sum @ n11 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6769,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n7 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6697,zip_derived_cl309]) ).
thf(zip_derived_cl16_2383,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('318',plain,
( ( sk_ != n7 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6769,zip_derived_cl16]) ).
thf(zip_derived_cl724_2384,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1577_2385,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1591,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_cl724,zip_derived_cl1577]) ).
thf(zip_derived_cl215_2386,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2387,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214_2388,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2389,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136_2390,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6632,plain,
( ( sk__2
= ( sum @ n10 @ n12 ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1591,zip_derived_cl215,zip_derived_cl54,zip_derived_cl214,zip_derived_cl53,zip_derived_cl136]) ).
thf(zip_derived_cl286_2391,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6681,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n7 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6632,zip_derived_cl286]) ).
thf(zip_derived_cl19_2392,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('319',plain,
( ( sk_ != n7 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6681,zip_derived_cl19]) ).
thf(zip_derived_cl724_2393,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1364_2394,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1372,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_cl724,zip_derived_cl1364]) ).
thf(zip_derived_cl213_2395,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_2396,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212_2397,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_2398,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_2399,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6542,plain,
( ( sk__2
= ( sum @ n8 @ n8 ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1372,zip_derived_cl213,zip_derived_cl52,zip_derived_cl212,zip_derived_cl51,zip_derived_cl92]) ).
thf(zip_derived_cl240_2400,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6546,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n7 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6542,zip_derived_cl240]) ).
thf(zip_derived_cl4_2401,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('320',plain,
( ( sk_ != n7 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6546,zip_derived_cl4]) ).
thf(zip_derived_cl729_2402,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2945_2403,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2958,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n12 @ n8 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl2945]) ).
thf(zip_derived_cl325_2404,plain,
( ( sum @ n12 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_2405,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_2406,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2407,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl251,plain,
( ( sum @ n8 @ n19 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7829,plain,
( ( sk__2
= ( sum @ n20 @ n6 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2958,zip_derived_cl325,zip_derived_cl43,zip_derived_cl324,zip_derived_cl63,zip_derived_cl251]) ).
thf(zip_derived_cl490_2408,plain,
( ( sum @ n20 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7911,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n12 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7829,zip_derived_cl490]) ).
thf(zip_derived_cl15_2409,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('321',plain,
( ( sk__1 != n8 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7911,zip_derived_cl15]) ).
thf(zip_derived_cl736_2410,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2945_2411,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2965,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n19 @ n8 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl2945]) ).
thf(zip_derived_cl472_2412,plain,
( ( sum @ n19 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2413,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl471_2414,plain,
( ( sum @ n19 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_2415,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl237,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl203_2416,plain,
( ( sum @ n6 @ n13 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7853,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n19 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2965,zip_derived_cl472,zip_derived_cl50,zip_derived_cl471,zip_derived_cl49,zip_derived_cl237,zip_derived_cl203]) ).
thf(zip_derived_cl1_2417,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('322',plain,
( ( sk__1 != n8 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7853,zip_derived_cl1]) ).
thf(zip_derived_cl735_2418,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2945_2419,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2964,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n18 @ n8 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl2945]) ).
thf(zip_derived_cl451_2420,plain,
( ( sum @ n18 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_2421,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_2422,plain,
( ( sum @ n18 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_2423,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl236,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl181_2424,plain,
( ( sum @ n5 @ n12 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7846,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n18 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2964,zip_derived_cl451,zip_derived_cl49,zip_derived_cl450,zip_derived_cl48,zip_derived_cl236,zip_derived_cl181]) ).
thf(zip_derived_cl3_2425,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('323',plain,
( ( sk__1 != n8 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7846,zip_derived_cl3]) ).
thf(zip_derived_cl734_2426,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2945_2427,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2963,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n17 @ n8 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl2945]) ).
thf(zip_derived_cl430_2428,plain,
( ( sum @ n17 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_2429,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl429_2430,plain,
( ( sum @ n17 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_2431,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl235_2432,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl159_2433,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7844,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n17 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2963,zip_derived_cl430,zip_derived_cl48,zip_derived_cl429,zip_derived_cl47,zip_derived_cl235,zip_derived_cl159]) ).
thf(zip_derived_cl5_2434,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('324',plain,
( ( sk__1 != n8 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7844,zip_derived_cl5]) ).
thf(zip_derived_cl731_2435,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2945_2436,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2960,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n14 @ n8 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl2945]) ).
thf(zip_derived_cl367_2437,plain,
( ( sum @ n14 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_2438,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl366_2439,plain,
( ( sum @ n14 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_2440,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232_2441,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_2442,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7836,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n14 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2960,zip_derived_cl367,zip_derived_cl45,zip_derived_cl366,zip_derived_cl44,zip_derived_cl232,zip_derived_cl93]) ).
thf(zip_derived_cl11_2443,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('325',plain,
( ( sk__1 != n8 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7836,zip_derived_cl11]) ).
thf(zip_derived_cl728_2444,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2945_2445,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2957,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n11 @ n8 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl2945]) ).
thf(zip_derived_cl304_2446,plain,
( ( sum @ n11 @ n9 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2447,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl303_2448,plain,
( ( sum @ n11 @ n8 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_2449,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl250_2450,plain,
( ( sum @ n8 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl468,plain,
( ( sum @ n19 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7827,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n11 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2957,zip_derived_cl304,zip_derived_cl63,zip_derived_cl303,zip_derived_cl62,zip_derived_cl250,zip_derived_cl468]) ).
thf(zip_derived_cl17_2451,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('326',plain,
( ( sk__1 != n8 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7827,zip_derived_cl17]) ).
thf(zip_derived_cl727_2452,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2945_2453,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2956,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_cl727,zip_derived_cl2945]) ).
thf(zip_derived_cl283_2454,plain,
( ( sum @ n10 @ n9 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_2455,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282_2456,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2457,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl249_2458,plain,
( ( sum @ n8 @ n17 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl446,plain,
( ( sum @ n18 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7825,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n10 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2956,zip_derived_cl283,zip_derived_cl62,zip_derived_cl282,zip_derived_cl61,zip_derived_cl249,zip_derived_cl446]) ).
thf(zip_derived_cl19_2459,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('327',plain,
( ( sk__1 != n8 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7825,zip_derived_cl19]) ).
thf(zip_derived_cl726_2460,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2945_2461,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2955,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_cl726,zip_derived_cl2945]) ).
thf(zip_derived_cl262_2462,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2463,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl261_2464,plain,
( ( sum @ n9 @ n8 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_2465,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl248_2466,plain,
( ( sum @ n8 @ n16 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl424_2467,plain,
( ( sum @ n17 @ n3 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7821,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n9 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2955,zip_derived_cl262,zip_derived_cl61,zip_derived_cl261,zip_derived_cl60,zip_derived_cl248,zip_derived_cl424]) ).
thf(zip_derived_cl0_2468,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('328',plain,
( ( sk_ != n9 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7821,zip_derived_cl0]) ).
thf(zip_derived_cl725_2469,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2945_2470,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2954,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_cl725,zip_derived_cl2945]) ).
thf(zip_derived_cl241_2471,plain,
( ( sum @ n8 @ n9 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_2472,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl240_2473,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_2474,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl247_2475,plain,
( ( sum @ n8 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl402_2476,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7819,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n8 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2954,zip_derived_cl241,zip_derived_cl60,zip_derived_cl240,zip_derived_cl59,zip_derived_cl247,zip_derived_cl402]) ).
thf(zip_derived_cl2_2477,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('329',plain,
( ( sk__1 != n8 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7819,zip_derived_cl2]) ).
thf(zip_derived_cl721_2478,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2945_2479,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2950,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_cl721,zip_derived_cl2945]) ).
thf(zip_derived_cl157_2480,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_2481,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_2482,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2483,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_2484,plain,
( ( sum @ n8 @ n11 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl335,plain,
( ( sum @ n12 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7811,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n4 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2950,zip_derived_cl157,zip_derived_cl56,zip_derived_cl156,zip_derived_cl55,zip_derived_cl243,zip_derived_cl335]) ).
thf(zip_derived_cl10_2485,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('330',plain,
( ( sk_ != n4 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7811,zip_derived_cl10]) ).
thf(zip_derived_cl720_2486,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2945_2487,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1040]) ).
thf(zip_derived_cl2949,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_cl720,zip_derived_cl2945]) ).
thf(zip_derived_cl136_2488,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2489,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_2490,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2491,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_2492,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl313_2493,plain,
( ( sum @ n11 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7809,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n3 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2949,zip_derived_cl136,zip_derived_cl55,zip_derived_cl135,zip_derived_cl54,zip_derived_cl242,zip_derived_cl313]) ).
thf(zip_derived_cl12_2494,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('331',plain,
( ( sk__1 != n8 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7809,zip_derived_cl12]) ).
thf(zip_derived_cl736_2495,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4582_2496,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4602,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n19 @ n19 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl4582]) ).
thf(zip_derived_cl483_2497,plain,
( ( sum @ n19 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2498,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_2499,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_2500,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl479_2501,plain,
( ( sum @ n19 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl435_2502,plain,
( ( sum @ n17 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9689,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n19 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4602,zip_derived_cl483,zip_derived_cl61,zip_derived_cl482,zip_derived_cl60,zip_derived_cl479,zip_derived_cl435]) ).
thf(zip_derived_cl10_2503,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('332',plain,
( ( sk_ != n19 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9689,zip_derived_cl10]) ).
thf(zip_derived_cl736_2504,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4537_2505,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4557,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n19 @ n18 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl4537]) ).
thf(zip_derived_cl482_2506,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_2507,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl481_2508,plain,
( ( sum @ n19 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_2509,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl457_2510,plain,
( ( sum @ n18 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl412_2511,plain,
( ( sum @ n16 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9597,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n19 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4557,zip_derived_cl482,zip_derived_cl60,zip_derived_cl481,zip_derived_cl59,zip_derived_cl457,zip_derived_cl412]) ).
thf(zip_derived_cl13_2512,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('333',plain,
( ( sk_ != n19 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9597,zip_derived_cl13]) ).
thf(zip_derived_cl736_2513,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4375_2514,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4395,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n19 @ n15 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl4375]) ).
thf(zip_derived_cl479_2515,plain,
( ( sum @ n19 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_2516,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl478_2517,plain,
( ( sum @ n19 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_2518,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl391_2519,plain,
( ( sum @ n15 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl343_2520,plain,
( ( sum @ n13 @ n6 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9319,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n19 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4395,zip_derived_cl479,zip_derived_cl57,zip_derived_cl478,zip_derived_cl56,zip_derived_cl391,zip_derived_cl343]) ).
thf(zip_derived_cl1_2521,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('334',plain,
( ( sk_ != n19 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9319,zip_derived_cl1]) ).
thf(zip_derived_cl736_2522,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4280_2523,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4300,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n19 @ n13 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl4280]) ).
thf(zip_derived_cl477_2524,plain,
( ( sum @ n19 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2525,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl476_2526,plain,
( ( sum @ n19 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2527,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl347_2528,plain,
( ( sum @ n13 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_2529,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9135,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n19 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4300,zip_derived_cl477,zip_derived_cl55,zip_derived_cl476,zip_derived_cl54,zip_derived_cl347,zip_derived_cl297]) ).
thf(zip_derived_cl7_2530,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('335',plain,
( ( sk_ != n19 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9135,zip_derived_cl7]) ).
thf(zip_derived_cl736_2531,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4235_2532,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4255,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n19 @ n12 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl4235]) ).
thf(zip_derived_cl476_2533,plain,
( ( sum @ n19 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2534,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl475_2535,plain,
( ( sum @ n19 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2536,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl325_2537,plain,
( ( sum @ n12 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl274_2538,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9043,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n19 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4255,zip_derived_cl476,zip_derived_cl54,zip_derived_cl475,zip_derived_cl53,zip_derived_cl325,zip_derived_cl274]) ).
thf(zip_derived_cl10_2539,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('336',plain,
( ( sk_ != n19 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9043,zip_derived_cl10]) ).
thf(zip_derived_cl465_2540,plain,
( ( sum @ n19 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_2541,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1364_2542,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1384,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n19 @ n1 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl1364]) ).
thf(zip_derived_cl7702,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n1 @ ( pred @ ( sum @ n19 @ n1 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl465,zip_derived_cl1384]) ).
thf(zip_derived_cl43_2543,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl464_2544,plain,
( ( sum @ n19 @ n1 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2545,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104_2546,plain,
( ( sum @ n1 @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7707,plain,
( ( sk__2
= ( sum @ n20 @ n20 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7702,zip_derived_cl43,zip_derived_cl464,zip_derived_cl63,zip_derived_cl104]) ).
thf(zip_derived_cl504_2547,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8007,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n19 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7707,zip_derived_cl504]) ).
thf(zip_derived_cl1_2548,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('337',plain,
( ( sk_ != n19 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8007,zip_derived_cl1]) ).
thf(zip_derived_cl470_2549,plain,
( ( sum @ n19 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_2550,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2329_2551,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2349,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n19 @ n6 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl2329]) ).
thf(zip_derived_cl7753,plain,
( ( sk__2
= ( sum @ ( pred @ n5 ) @ ( sum @ n6 @ ( pred @ ( sum @ n19 @ n6 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl2349]) ).
thf(zip_derived_cl48_2552,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl469_2553,plain,
( ( sum @ n19 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_2554,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl193_2555,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl157_2556,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7756,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n19 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7753,zip_derived_cl48,zip_derived_cl469,zip_derived_cl47,zip_derived_cl193,zip_derived_cl157]) ).
thf(zip_derived_cl7_2557,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('338',plain,
( ( sk_ != n19 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7756,zip_derived_cl7]) ).
thf(zip_derived_cl469_2558,plain,
( ( sum @ n19 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_2559,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2018_2560,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2047,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n19 @ n5 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl2018]) ).
thf(zip_derived_cl7743,plain,
( ( sk__2
= ( sum @ ( pred @ n4 ) @ ( sum @ n5 @ ( pred @ ( sum @ n19 @ n5 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl2047]) ).
thf(zip_derived_cl47_2561,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl468_2562,plain,
( ( sum @ n19 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_2563,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl171_2564,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_2565,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7746,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n19 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7743,zip_derived_cl47,zip_derived_cl468,zip_derived_cl46,zip_derived_cl171,zip_derived_cl134]) ).
thf(zip_derived_cl10_2566,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('339',plain,
( ( sk_ != n19 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7746,zip_derived_cl10]) ).
thf(zip_derived_cl468_2567,plain,
( ( sum @ n19 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_2568,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1784_2569,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1813,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n19 @ n4 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl1784]) ).
thf(zip_derived_cl7732,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n4 @ ( pred @ ( sum @ n19 @ n4 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl1813]) ).
thf(zip_derived_cl46_2570,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl467_2571,plain,
( ( sum @ n19 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_2572,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149_2573,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111_2574,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7734,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n19 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7732,zip_derived_cl46,zip_derived_cl467,zip_derived_cl45,zip_derived_cl149,zip_derived_cl111]) ).
thf(zip_derived_cl13_2575,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('340',plain,
( ( sk_ != n19 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7734,zip_derived_cl13]) ).
thf(zip_derived_cl467_2576,plain,
( ( sum @ n19 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_2577,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1577_2578,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1603,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n19 @ n3 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl1577]) ).
thf(zip_derived_cl7722,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n3 @ ( pred @ ( sum @ n19 @ n3 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl1603]) ).
thf(zip_derived_cl45_2579,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl466_2580,plain,
( ( sum @ n19 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_2581,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127_2582,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_2583,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7727,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n19 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7722,zip_derived_cl45,zip_derived_cl466,zip_derived_cl44,zip_derived_cl127,zip_derived_cl88]) ).
thf(zip_derived_cl16_2584,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('341',plain,
( ( sk_ != n19 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7727,zip_derived_cl16]) ).
thf(zip_derived_cl444_2585,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_2586,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1364_2587,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1383,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n18 @ n1 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl1364]) ).
thf(zip_derived_cl7538,plain,
( ( sk__2
= ( sum @ ( pred @ n20 ) @ ( sum @ n1 @ ( pred @ ( sum @ n18 @ n1 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl444,zip_derived_cl1383]) ).
thf(zip_derived_cl63_2588,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_2589,plain,
( ( sum @ n18 @ n1 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_2590,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103_2591,plain,
( ( sum @ n1 @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7543,plain,
( ( sk__2
= ( sum @ n19 @ n19 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7538,zip_derived_cl63,zip_derived_cl443,zip_derived_cl62,zip_derived_cl103]) ).
thf(zip_derived_cl482_2592,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7834,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n18 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7543,zip_derived_cl482]) ).
thf(zip_derived_cl3_2593,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('342',plain,
( ( sk__1 != n1 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7834,zip_derived_cl3]) ).
thf(zip_derived_cl423_2594,plain,
( ( sum @ n17 @ n2 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_2595,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1364_2596,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1382,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n17 @ n1 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl1364]) ).
thf(zip_derived_cl7413,plain,
( ( sk__2
= ( sum @ ( pred @ n19 ) @ ( sum @ n1 @ ( pred @ ( sum @ n17 @ n1 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl423,zip_derived_cl1382]) ).
thf(zip_derived_cl62_2597,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl422_2598,plain,
( ( sum @ n17 @ n1 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2599,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102_2600,plain,
( ( sum @ n1 @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7417,plain,
( ( sk__2
= ( sum @ n18 @ n18 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7413,zip_derived_cl62,zip_derived_cl422,zip_derived_cl61,zip_derived_cl102]) ).
thf(zip_derived_cl460_2601,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7656,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n17 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7417,zip_derived_cl460]) ).
thf(zip_derived_cl5_2602,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('343',plain,
( ( sk__1 != n1 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7656,zip_derived_cl5]) ).
thf(zip_derived_cl360_2603,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731_2604,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1364_2605,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1379,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n14 @ n1 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl1364]) ).
thf(zip_derived_cl7035,plain,
( ( sk__2
= ( sum @ ( pred @ n16 ) @ ( sum @ n1 @ ( pred @ ( sum @ n14 @ n1 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl360,zip_derived_cl1379]) ).
thf(zip_derived_cl59_2606,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl359_2607,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_2608,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99_2609,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7038,plain,
( ( sk__2
= ( sum @ n15 @ n15 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7035,zip_derived_cl59,zip_derived_cl359,zip_derived_cl58,zip_derived_cl99]) ).
thf(zip_derived_cl394_2610,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7199,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n14 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7038,zip_derived_cl394]) ).
thf(zip_derived_cl11_2611,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('344',plain,
( ( sk__1 != n1 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7199,zip_derived_cl11]) ).
thf(zip_derived_cl318_2612,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729_2613,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1364_2614,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1377,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n12 @ n1 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl1364]) ).
thf(zip_derived_cl6814,plain,
( ( sk__2
= ( sum @ ( pred @ n14 ) @ ( sum @ n1 @ ( pred @ ( sum @ n12 @ n1 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl318,zip_derived_cl1377]) ).
thf(zip_derived_cl57_2615,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl317_2616,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_2617,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97_2618,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6816,plain,
( ( sk__2
= ( sum @ n13 @ n13 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6814,zip_derived_cl57,zip_derived_cl317,zip_derived_cl56,zip_derived_cl97]) ).
thf(zip_derived_cl350_2619,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6966,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n12 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6816,zip_derived_cl350]) ).
thf(zip_derived_cl15_2620,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('345',plain,
( ( sk__1 != n1 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6966,zip_derived_cl15]) ).
thf(zip_derived_cl297_2621,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728_2622,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1364_2623,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1376,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n11 @ n1 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl1364]) ).
thf(zip_derived_cl6711,plain,
( ( sk__2
= ( sum @ ( pred @ n13 ) @ ( sum @ n1 @ ( pred @ ( sum @ n11 @ n1 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl297,zip_derived_cl1376]) ).
thf(zip_derived_cl56_2624,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl296_2625,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2626,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_2627,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6713,plain,
( ( sk__2
= ( sum @ n12 @ n12 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6711,zip_derived_cl56,zip_derived_cl296,zip_derived_cl55,zip_derived_cl96]) ).
thf(zip_derived_cl328_2628,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6855,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n11 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6713,zip_derived_cl328]) ).
thf(zip_derived_cl17_2629,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('346',plain,
( ( sk__1 != n1 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6855,zip_derived_cl17]) ).
thf(zip_derived_cl276_2630,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_2631,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1364_2632,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1375,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_cl727,zip_derived_cl1364]) ).
thf(zip_derived_cl6643,plain,
( ( sk__2
= ( sum @ ( pred @ n12 ) @ ( sum @ n1 @ ( pred @ ( sum @ n10 @ n1 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl276,zip_derived_cl1375]) ).
thf(zip_derived_cl55_2633,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl275_2634,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2635,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95_2636,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6646,plain,
( ( sk__2
= ( sum @ n11 @ n11 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6643,zip_derived_cl55,zip_derived_cl275,zip_derived_cl54,zip_derived_cl95]) ).
thf(zip_derived_cl306_2637,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6749,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n10 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6646,zip_derived_cl306]) ).
thf(zip_derived_cl19_2638,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('347',plain,
( ( sk__1 != n1 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6749,zip_derived_cl19]) ).
thf(zip_derived_cl255_2639,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_2640,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1364_2641,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1374,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_cl726,zip_derived_cl1364]) ).
thf(zip_derived_cl6588,plain,
( ( sk__2
= ( sum @ ( pred @ n11 ) @ ( sum @ n1 @ ( pred @ ( sum @ n9 @ n1 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl255,zip_derived_cl1374]) ).
thf(zip_derived_cl54_2642,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl254_2643,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2644,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94_2645,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6590,plain,
( ( sk__2
= ( sum @ n10 @ n10 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6588,zip_derived_cl54,zip_derived_cl254,zip_derived_cl53,zip_derived_cl94]) ).
thf(zip_derived_cl284_2646,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6676,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n9 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6590,zip_derived_cl284]) ).
thf(zip_derived_cl0_2647,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('348',plain,
( ( sk_ != n9 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6676,zip_derived_cl0]) ).
thf(zip_derived_cl725_2648,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1364_2649,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1373,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_cl725,zip_derived_cl1364]) ).
thf(zip_derived_cl234_2650,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2651,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl233_2652,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_2653,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_2654,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6543,plain,
( ( sk__2
= ( sum @ n9 @ n9 ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1373,zip_derived_cl234,zip_derived_cl53,zip_derived_cl233,zip_derived_cl52,zip_derived_cl93]) ).
thf(zip_derived_cl262_2655,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6605,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n8 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6543,zip_derived_cl262]) ).
thf(zip_derived_cl2_2656,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('349',plain,
( ( sk__1 != n1 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6605,zip_derived_cl2]) ).
thf(zip_derived_cl721_2657,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1364_2658,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1369,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_cl721,zip_derived_cl1364]) ).
thf(zip_derived_cl150_2659,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_2660,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149_2661,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_2662,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_2663,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174_2664,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6536,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n4 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1369,zip_derived_cl150,zip_derived_cl49,zip_derived_cl149,zip_derived_cl48,zip_derived_cl89,zip_derived_cl174]) ).
thf(zip_derived_cl10_2665,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('350',plain,
( ( sk_ != n4 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6536,zip_derived_cl10]) ).
thf(zip_derived_cl720_2666,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1364_2667,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl23]) ).
thf(zip_derived_cl1368,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_cl720,zip_derived_cl1364]) ).
thf(zip_derived_cl129_2668,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_2669,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_2670,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_2671,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_2672,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl152_2673,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6534,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n3 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1368,zip_derived_cl129,zip_derived_cl48,zip_derived_cl128,zip_derived_cl47,zip_derived_cl88,zip_derived_cl152]) ).
thf(zip_derived_cl12_2674,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('351',plain,
( ( sk__1 != n1 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6534,zip_derived_cl12]) ).
thf(zip_derived_cl727_2675,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4582_2676,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4593,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n10 @ n19 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl4582]) ).
thf(zip_derived_cl294_2677,plain,
( ( sum @ n10 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_2678,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl293_2679,plain,
( ( sum @ n10 @ n19 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_2680,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl470_2681,plain,
( ( sum @ n19 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl237_2682,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9669,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n10 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4593,zip_derived_cl294,zip_derived_cl52,zip_derived_cl293,zip_derived_cl51,zip_derived_cl470,zip_derived_cl237]) ).
thf(zip_derived_cl7_2683,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('352',plain,
( ( sk_ != n10 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9669,zip_derived_cl7]) ).
thf(zip_derived_cl727_2684,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4537_2685,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4548,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n10 @ n18 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl4537]) ).
thf(zip_derived_cl293_2686,plain,
( ( sum @ n10 @ n19 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_2687,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl292_2688,plain,
( ( sum @ n10 @ n18 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2689,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_2690,plain,
( ( sum @ n18 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214_2691,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9577,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n10 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4548,zip_derived_cl293,zip_derived_cl51,zip_derived_cl292,zip_derived_cl50,zip_derived_cl448,zip_derived_cl214]) ).
thf(zip_derived_cl10_2692,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('353',plain,
( ( sk_ != n10 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9577,zip_derived_cl10]) ).
thf(zip_derived_cl727_2693,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4375_2694,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4386,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n10 @ n15 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl4375]) ).
thf(zip_derived_cl290_2695,plain,
( ( sum @ n10 @ n16 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_2696,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl289_2697,plain,
( ( sum @ n10 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_2698,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl382_2699,plain,
( ( sum @ n15 @ n3 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166_2700,plain,
( ( sum @ n4 @ n18 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9299,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n10 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4386,zip_derived_cl290,zip_derived_cl48,zip_derived_cl289,zip_derived_cl47,zip_derived_cl382,zip_derived_cl166]) ).
thf(zip_derived_cl19_2701,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('354',plain,
( ( sk_ != n10 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9299,zip_derived_cl19]) ).
thf(zip_derived_cl727_2702,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4280_2703,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4291,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n10 @ n13 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl4280]) ).
thf(zip_derived_cl288_2704,plain,
( ( sum @ n10 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_2705,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl287_2706,plain,
( ( sum @ n10 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_2707,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl338_2708,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120_2709,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9115,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n10 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4291,zip_derived_cl288,zip_derived_cl46,zip_derived_cl287,zip_derived_cl45,zip_derived_cl338,zip_derived_cl120]) ).
thf(zip_derived_cl4_2710,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('355',plain,
( ( sk_ != n10 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9115,zip_derived_cl4]) ).
thf(zip_derived_cl727_2711,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4235_2712,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4246,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n10 @ n12 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl4235]) ).
thf(zip_derived_cl287_2713,plain,
( ( sum @ n10 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_2714,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_2715,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_2716,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl316_2717,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97_2718,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9023,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n10 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4246,zip_derived_cl287,zip_derived_cl45,zip_derived_cl286,zip_derived_cl44,zip_derived_cl316,zip_derived_cl97]) ).
thf(zip_derived_cl7_2719,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('356',plain,
( ( sk_ != n10 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9023,zip_derived_cl7]) ).
thf(zip_derived_cl727_2720,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2329_2721,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2340,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_cl727,zip_derived_cl2329]) ).
thf(zip_derived_cl281_2722,plain,
( ( sum @ n10 @ n7 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_2723,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280_2724,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_2725,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl205_2726,plain,
( ( sum @ n6 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7080,plain,
( ( sk__2
= ( sum @ n16 @ n0 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2340,zip_derived_cl281,zip_derived_cl60,zip_derived_cl280,zip_derived_cl59,zip_derived_cl205]) ).
thf(zip_derived_cl400_2727,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7254,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n10 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7080,zip_derived_cl400]) ).
thf(zip_derived_cl4_2728,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('357',plain,
( ( sk_ != n10 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7254,zip_derived_cl4]) ).
thf(zip_derived_cl727_2729,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2018_2730,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2038,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_cl727,zip_derived_cl2018]) ).
thf(zip_derived_cl280_2731,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_2732,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl279_2733,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_2734,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl183_2735,plain,
( ( sum @ n5 @ n14 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6804,plain,
( ( sk__2
= ( sum @ n15 @ n19 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2038,zip_derived_cl280,zip_derived_cl59,zip_derived_cl279,zip_derived_cl58,zip_derived_cl183]) ).
thf(zip_derived_cl398_2736,plain,
( ( sum @ n15 @ n19 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7235,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n10 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6804,zip_derived_cl398]) ).
thf(zip_derived_cl7_2737,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('358',plain,
( ( sk_ != n10 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7235,zip_derived_cl7]) ).
thf(zip_derived_cl727_2738,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1784_2739,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1804,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_cl727,zip_derived_cl1784]) ).
thf(zip_derived_cl279_2740,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_2741,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278_2742,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_2743,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl161_2744,plain,
( ( sum @ n4 @ n13 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6700,plain,
( ( sk__2
= ( sum @ n14 @ n17 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1804,zip_derived_cl279,zip_derived_cl58,zip_derived_cl278,zip_derived_cl57,zip_derived_cl161]) ).
thf(zip_derived_cl375_2745,plain,
( ( sum @ n14 @ n17 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7102,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n10 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6700,zip_derived_cl375]) ).
thf(zip_derived_cl10_2746,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('359',plain,
( ( sk_ != n10 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7102,zip_derived_cl10]) ).
thf(zip_derived_cl278_2747,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_2748,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1577_2749,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1594,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_cl727,zip_derived_cl1577]) ).
thf(zip_derived_cl6654,plain,
( ( sk__2
= ( sum @ ( pred @ n14 ) @ ( sum @ n3 @ ( pred @ ( sum @ n10 @ n3 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl278,zip_derived_cl1594]) ).
thf(zip_derived_cl57_2750,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl277_2751,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_2752,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139_2753,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6655,plain,
( ( sk__2
= ( sum @ n13 @ n15 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6654,zip_derived_cl57,zip_derived_cl277,zip_derived_cl56,zip_derived_cl139]) ).
thf(zip_derived_cl352_2754,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6984,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n10 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6655,zip_derived_cl352]) ).
thf(zip_derived_cl13_2755,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('360',plain,
( ( sk_ != n10 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6984,zip_derived_cl13]) ).
thf(zip_derived_cl425_2756,plain,
( ( sum @ n17 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_2757,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1577_2758,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1601,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n17 @ n3 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl1577]) ).
thf(zip_derived_cl7428,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n3 @ ( pred @ ( sum @ n17 @ n3 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl425,zip_derived_cl1601]) ).
thf(zip_derived_cl43_2759,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl424_2760,plain,
( ( sum @ n17 @ n3 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2761,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl146_2762,plain,
( ( sum @ n3 @ n19 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7431,plain,
( ( sk__2
= ( sum @ n20 @ n1 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7428,zip_derived_cl43,zip_derived_cl424,zip_derived_cl63,zip_derived_cl146]) ).
thf(zip_derived_cl485_2763,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7858,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n17 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7431,zip_derived_cl485]) ).
thf(zip_derived_cl20_2764,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('361',plain,
( ( sk__1 != n3 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7858,zip_derived_cl20]) ).
thf(zip_derived_cl446_2765,plain,
( ( sum @ n18 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_2766,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1577_2767,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1602,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n18 @ n3 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl1577]) ).
thf(zip_derived_cl7556,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n3 @ ( pred @ ( sum @ n18 @ n3 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl446,zip_derived_cl1602]) ).
thf(zip_derived_cl44_2768,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl445_2769,plain,
( ( sum @ n18 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_2770,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147_2771,plain,
( ( sum @ n3 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_2772,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7559,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n18 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7556,zip_derived_cl44,zip_derived_cl445,zip_derived_cl43,zip_derived_cl147,zip_derived_cl66]) ).
thf(zip_derived_cl18_2773,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('362',plain,
( ( sk__1 != n3 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7559,zip_derived_cl18]) ).
thf(zip_derived_cl362_2774,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731_2775,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1577_2776,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1598,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n14 @ n3 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl1577]) ).
thf(zip_derived_cl7049,plain,
( ( sk__2
= ( sum @ ( pred @ n18 ) @ ( sum @ n3 @ ( pred @ ( sum @ n14 @ n3 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl362,zip_derived_cl1598]) ).
thf(zip_derived_cl61_2777,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl361_2778,plain,
( ( sum @ n14 @ n3 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_2779,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143_2780,plain,
( ( sum @ n3 @ n16 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7051,plain,
( ( sk__2
= ( sum @ n17 @ n19 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7049,zip_derived_cl61,zip_derived_cl361,zip_derived_cl60,zip_derived_cl143]) ).
thf(zip_derived_cl440_2781,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7508,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n14 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7051,zip_derived_cl440]) ).
thf(zip_derived_cl5_2782,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('363',plain,
( ( sk__1 != n3 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7508,zip_derived_cl5]) ).
thf(zip_derived_cl320_2783,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729_2784,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1577_2785,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1596,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n12 @ n3 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl1577]) ).
thf(zip_derived_cl6824,plain,
( ( sk__2
= ( sum @ ( pred @ n16 ) @ ( sum @ n3 @ ( pred @ ( sum @ n12 @ n3 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl320,zip_derived_cl1596]) ).
thf(zip_derived_cl59_2786,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl319_2787,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_2788,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141_2789,plain,
( ( sum @ n3 @ n14 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6827,plain,
( ( sk__2
= ( sum @ n15 @ n17 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6824,zip_derived_cl59,zip_derived_cl319,zip_derived_cl58,zip_derived_cl141]) ).
thf(zip_derived_cl396_2790,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7217,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n12 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6827,zip_derived_cl396]) ).
thf(zip_derived_cl9_2791,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('364',plain,
( ( sk__1 != n3 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7217,zip_derived_cl9]) ).
thf(zip_derived_cl299_2792,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728_2793,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1577_2794,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1595,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n11 @ n3 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl1577]) ).
thf(zip_derived_cl6723,plain,
( ( sk__2
= ( sum @ ( pred @ n15 ) @ ( sum @ n3 @ ( pred @ ( sum @ n11 @ n3 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl299,zip_derived_cl1595]) ).
thf(zip_derived_cl58_2795,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl298_2796,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_2797,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140_2798,plain,
( ( sum @ n3 @ n13 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6726,plain,
( ( sk__2
= ( sum @ n14 @ n16 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6723,zip_derived_cl58,zip_derived_cl298,zip_derived_cl57,zip_derived_cl140]) ).
thf(zip_derived_cl374_2799,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7100,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n11 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6726,zip_derived_cl374]) ).
thf(zip_derived_cl11_2800,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('365',plain,
( ( sk__1 != n3 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7100,zip_derived_cl11]) ).
thf(zip_derived_cl726_2801,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1577_2802,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1593,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_cl726,zip_derived_cl1577]) ).
thf(zip_derived_cl257_2803,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_2804,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_2805,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2806,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138_2807,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6634,plain,
( ( sk__2
= ( sum @ n12 @ n14 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1593,zip_derived_cl257,zip_derived_cl56,zip_derived_cl256,zip_derived_cl55,zip_derived_cl138]) ).
thf(zip_derived_cl330_2808,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6865,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n9 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6634,zip_derived_cl330]) ).
thf(zip_derived_cl15_2809,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('366',plain,
( ( sk_ != n9 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6865,zip_derived_cl15]) ).
thf(zip_derived_cl725_2810,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1577_2811,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1592,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_cl725,zip_derived_cl1577]) ).
thf(zip_derived_cl236_2812,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2813,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl235_2814,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2815,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_2816,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6633,plain,
( ( sk__2
= ( sum @ n11 @ n13 ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1592,zip_derived_cl236,zip_derived_cl55,zip_derived_cl235,zip_derived_cl54,zip_derived_cl137]) ).
thf(zip_derived_cl308_2817,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6761,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n8 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6633,zip_derived_cl308]) ).
thf(zip_derived_cl17_2818,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('367',plain,
( ( sk__1 != n3 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6761,zip_derived_cl17]) ).
thf(zip_derived_cl721_2819,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1577_2820,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1588,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_cl721,zip_derived_cl1577]) ).
thf(zip_derived_cl152_2821,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_2822,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl151_2823,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2824,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl133_2825,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_2826,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6626,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n4 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1588,zip_derived_cl152,zip_derived_cl51,zip_derived_cl151,zip_derived_cl50,zip_derived_cl133,zip_derived_cl220]) ).
thf(zip_derived_cl4_2827,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('368',plain,
( ( sk_ != n4 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6626,zip_derived_cl4]) ).
thf(zip_derived_cl720_2828,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1577_2829,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl1035]) ).
thf(zip_derived_cl1587,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_cl720,zip_derived_cl1577]) ).
thf(zip_derived_cl131_2830,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2831,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_2832,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_2833,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_2834,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_2835,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6624,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n3 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1587,zip_derived_cl131,zip_derived_cl50,zip_derived_cl130,zip_derived_cl49,zip_derived_cl132,zip_derived_cl198]) ).
thf(zip_derived_cl6_2836,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('369',plain,
( ( sk__1 != n3 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6624,zip_derived_cl6]) ).
thf(zip_derived_cl728_2837,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4582_2838,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4594,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n11 @ n19 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl4582]) ).
thf(zip_derived_cl315_2839,plain,
( ( sum @ n11 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2840,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl314_2841,plain,
( ( sum @ n11 @ n19 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_2842,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl471_2843,plain,
( ( sum @ n19 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl259_2844,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9671,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n11 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4594,zip_derived_cl315,zip_derived_cl53,zip_derived_cl314,zip_derived_cl52,zip_derived_cl471,zip_derived_cl259]) ).
thf(zip_derived_cl5_2845,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('370',plain,
( ( sk_ != n11 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9671,zip_derived_cl5]) ).
thf(zip_derived_cl728_2846,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4537_2847,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4549,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n11 @ n18 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl4537]) ).
thf(zip_derived_cl314_2848,plain,
( ( sum @ n11 @ n19 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_2849,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl313_2850,plain,
( ( sum @ n11 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_2851,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl449_2852,plain,
( ( sum @ n18 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl236_2853,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9579,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n11 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4549,zip_derived_cl314,zip_derived_cl52,zip_derived_cl313,zip_derived_cl51,zip_derived_cl449,zip_derived_cl236]) ).
thf(zip_derived_cl8_2854,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('371',plain,
( ( sk_ != n11 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9579,zip_derived_cl8]) ).
thf(zip_derived_cl728_2855,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4375_2856,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4387,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n11 @ n15 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl4375]) ).
thf(zip_derived_cl311_2857,plain,
( ( sum @ n11 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_2858,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_2859,plain,
( ( sum @ n11 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_2860,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl383_2861,plain,
( ( sum @ n15 @ n4 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl188_2862,plain,
( ( sum @ n5 @ n19 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9301,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n11 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4387,zip_derived_cl311,zip_derived_cl49,zip_derived_cl310,zip_derived_cl48,zip_derived_cl383,zip_derived_cl188]) ).
thf(zip_derived_cl17_2863,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('372',plain,
( ( sk_ != n11 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9301,zip_derived_cl17]) ).
thf(zip_derived_cl728_2864,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4280_2865,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4292,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n11 @ n13 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl4280]) ).
thf(zip_derived_cl309_2866,plain,
( ( sum @ n11 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_2867,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308_2868,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_2869,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl339_2870,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142_2871,plain,
( ( sum @ n3 @ n15 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9117,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n11 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4292,zip_derived_cl309,zip_derived_cl47,zip_derived_cl308,zip_derived_cl46,zip_derived_cl339,zip_derived_cl142]) ).
thf(zip_derived_cl2_2872,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('373',plain,
( ( sk_ != n11 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9117,zip_derived_cl2]) ).
thf(zip_derived_cl728_2873,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4235_2874,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4247,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n11 @ n12 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl4235]) ).
thf(zip_derived_cl308_2875,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_2876,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl307_2877,plain,
( ( sum @ n11 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_2878,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl317_2879,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119_2880,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9025,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n11 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4247,zip_derived_cl308,zip_derived_cl46,zip_derived_cl307,zip_derived_cl45,zip_derived_cl317,zip_derived_cl119]) ).
thf(zip_derived_cl5_2881,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('374',plain,
( ( sk_ != n11 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9025,zip_derived_cl5]) ).
thf(zip_derived_cl728_2882,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2329_2883,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2341,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n11 @ n6 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl2329]) ).
thf(zip_derived_cl302_2884,plain,
( ( sum @ n11 @ n7 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2885,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl301_2886,plain,
( ( sum @ n11 @ n6 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_2887,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl206_2888,plain,
( ( sum @ n6 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7082,plain,
( ( sk__2
= ( sum @ n17 @ n1 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2341,zip_derived_cl302,zip_derived_cl61,zip_derived_cl301,zip_derived_cl60,zip_derived_cl206]) ).
thf(zip_derived_cl422_2889,plain,
( ( sum @ n17 @ n1 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7407,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n11 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7082,zip_derived_cl422]) ).
thf(zip_derived_cl2_2890,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('375',plain,
( ( sk_ != n11 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7407,zip_derived_cl2]) ).
thf(zip_derived_cl728_2891,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2018_2892,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2039,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n11 @ n5 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl2018]) ).
thf(zip_derived_cl301_2893,plain,
( ( sum @ n11 @ n6 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_2894,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl300_2895,plain,
( ( sum @ n11 @ n5 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_2896,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl184_2897,plain,
( ( sum @ n5 @ n15 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6805,plain,
( ( sk__2
= ( sum @ n16 @ n20 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2039,zip_derived_cl301,zip_derived_cl60,zip_derived_cl300,zip_derived_cl59,zip_derived_cl184]) ).
thf(zip_derived_cl420_2898,plain,
( ( sum @ n16 @ n20 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7384,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n11 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6805,zip_derived_cl420]) ).
thf(zip_derived_cl5_2899,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('376',plain,
( ( sk_ != n11 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7384,zip_derived_cl5]) ).
thf(zip_derived_cl300_2900,plain,
( ( sum @ n11 @ n5 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728_2901,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1784_2902,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1805,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n11 @ n4 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl1784]) ).
thf(zip_derived_cl6729,plain,
( ( sk__2
= ( sum @ ( pred @ n16 ) @ ( sum @ n4 @ ( pred @ ( sum @ n11 @ n4 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl300,zip_derived_cl1805]) ).
thf(zip_derived_cl59_2903,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_2904,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_2905,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_2906,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6730,plain,
( ( sk__2
= ( sum @ n15 @ n18 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6729,zip_derived_cl59,zip_derived_cl299,zip_derived_cl58,zip_derived_cl162]) ).
thf(zip_derived_cl397_2907,plain,
( ( sum @ n15 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7227,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n11 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6730,zip_derived_cl397]) ).
thf(zip_derived_cl8_2908,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('377',plain,
( ( sk_ != n11 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7227,zip_derived_cl8]) ).
thf(zip_derived_cl731_2909,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2329_2910,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2344,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n14 @ n6 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl2329]) ).
thf(zip_derived_cl365_2911,plain,
( ( sum @ n14 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_2912,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl364_2913,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2914,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl209_2915,plain,
( ( sum @ n6 @ n19 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7093,plain,
( ( sk__2
= ( sum @ n20 @ n4 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2344,zip_derived_cl365,zip_derived_cl43,zip_derived_cl364,zip_derived_cl63,zip_derived_cl209]) ).
thf(zip_derived_cl488_2916,plain,
( ( sum @ n20 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7889,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n14 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7093,zip_derived_cl488]) ).
thf(zip_derived_cl17_2917,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('378',plain,
( ( sk__1 != n6 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7889,zip_derived_cl17]) ).
thf(zip_derived_cl449_2918,plain,
( ( sum @ n18 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_2919,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2329_2920,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2348,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n18 @ n6 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl2329]) ).
thf(zip_derived_cl7586,plain,
( ( sk__2
= ( sum @ ( pred @ n4 ) @ ( sum @ n6 @ ( pred @ ( sum @ n18 @ n6 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl449,zip_derived_cl2348]) ).
thf(zip_derived_cl47_2921,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_2922,plain,
( ( sum @ n18 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_2923,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_2924,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_2925,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7589,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n18 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7586,zip_derived_cl47,zip_derived_cl448,zip_derived_cl46,zip_derived_cl192,zip_derived_cl135]) ).
thf(zip_derived_cl9_2926,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('379',plain,
( ( sk__1 != n6 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7589,zip_derived_cl9]) ).
thf(zip_derived_cl729_2927,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2329_2928,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2342,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n12 @ n6 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl2329]) ).
thf(zip_derived_cl323_2929,plain,
( ( sum @ n12 @ n7 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_2930,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_2931,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2932,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl207_2933,plain,
( ( sum @ n6 @ n17 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7087,plain,
( ( sk__2
= ( sum @ n18 @ n2 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2342,zip_derived_cl323,zip_derived_cl62,zip_derived_cl322,zip_derived_cl61,zip_derived_cl207]) ).
thf(zip_derived_cl444_2934,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7541,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n12 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7087,zip_derived_cl444]) ).
thf(zip_derived_cl0_2935,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('380',plain,
( ( sk__1 != n6 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7541,zip_derived_cl0]) ).
thf(zip_derived_cl428_2936,plain,
( ( sum @ n17 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_2937,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2329_2938,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2347,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n17 @ n6 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl2329]) ).
thf(zip_derived_cl7448,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n6 @ ( pred @ ( sum @ n17 @ n6 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl428,zip_derived_cl2347]) ).
thf(zip_derived_cl46_2939,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl427_2940,plain,
( ( sum @ n17 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_2941,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_2942,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113_2943,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7449,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n17 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7448,zip_derived_cl46,zip_derived_cl427,zip_derived_cl45,zip_derived_cl191,zip_derived_cl113]) ).
thf(zip_derived_cl11_2944,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('381',plain,
( ( sk__1 != n6 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7449,zip_derived_cl11]) ).
thf(zip_derived_cl726_2945,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2329_2946,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2339,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_cl726,zip_derived_cl2329]) ).
thf(zip_derived_cl260_2947,plain,
( ( sum @ n9 @ n7 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_2948,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl259_2949,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_2950,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl204_2951,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7079,plain,
( ( sk__2
= ( sum @ n15 @ n20 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2339,zip_derived_cl260,zip_derived_cl59,zip_derived_cl259,zip_derived_cl58,zip_derived_cl204]) ).
thf(zip_derived_cl399_2952,plain,
( ( sum @ n15 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7245,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n9 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7079,zip_derived_cl399]) ).
thf(zip_derived_cl6_2953,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('382',plain,
( ( sk_ != n9 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7245,zip_derived_cl6]) ).
thf(zip_derived_cl725_2954,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2329_2955,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2338,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_cl725,zip_derived_cl2329]) ).
thf(zip_derived_cl239_2956,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_2957,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl238_2958,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_2959,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl203_2960,plain,
( ( sum @ n6 @ n13 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7078,plain,
( ( sk__2
= ( sum @ n14 @ n19 ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2338,zip_derived_cl239,zip_derived_cl58,zip_derived_cl238,zip_derived_cl57,zip_derived_cl203]) ).
thf(zip_derived_cl377_2961,plain,
( ( sum @ n14 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7114,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n8 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7078,zip_derived_cl377]) ).
thf(zip_derived_cl8_2962,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('383',plain,
( ( sk__1 != n6 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7114,zip_derived_cl8]) ).
thf(zip_derived_cl721_2963,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2329_2964,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2334,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_cl721,zip_derived_cl2329]) ).
thf(zip_derived_cl155_2965,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2966,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_2967,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2968,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl199_2969,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl289_2970,plain,
( ( sum @ n10 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7070,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n4 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2334,zip_derived_cl155,zip_derived_cl54,zip_derived_cl154,zip_derived_cl53,zip_derived_cl199,zip_derived_cl289]) ).
thf(zip_derived_cl16_2971,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('384',plain,
( ( sk_ != n4 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7070,zip_derived_cl16]) ).
thf(zip_derived_cl720_2972,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2329_2973,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl1038]) ).
thf(zip_derived_cl2333,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_cl720,zip_derived_cl2329]) ).
thf(zip_derived_cl134_2974,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2975,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl133_2976,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_2977,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_2978,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl267_2979,plain,
( ( sum @ n9 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7068,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n3 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl134,zip_derived_cl53,zip_derived_cl133,zip_derived_cl52,zip_derived_cl198,zip_derived_cl267]) ).
thf(zip_derived_cl18_2980,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('385',plain,
( ( sk__1 != n6 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7068,zip_derived_cl18]) ).
thf(zip_derived_cl729_2981,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4582_2982,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4595,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n12 @ n19 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl4582]) ).
thf(zip_derived_cl336_2983,plain,
( ( sum @ n12 @ n20 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2984,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl335_2985,plain,
( ( sum @ n12 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2986,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl472_2987,plain,
( ( sum @ n19 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl281_2988,plain,
( ( sum @ n10 @ n7 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9673,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n12 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4595,zip_derived_cl336,zip_derived_cl54,zip_derived_cl335,zip_derived_cl53,zip_derived_cl472,zip_derived_cl281]) ).
thf(zip_derived_cl3_2989,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('386',plain,
( ( sk_ != n12 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9673,zip_derived_cl3]) ).
thf(zip_derived_cl729_2990,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4537_2991,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4550,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n12 @ n18 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl4537]) ).
thf(zip_derived_cl335_2992,plain,
( ( sum @ n12 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2993,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334_2994,plain,
( ( sum @ n12 @ n18 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_2995,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_2996,plain,
( ( sum @ n18 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_2997,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9581,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n12 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4550,zip_derived_cl335,zip_derived_cl53,zip_derived_cl334,zip_derived_cl52,zip_derived_cl450,zip_derived_cl258]) ).
thf(zip_derived_cl6_2998,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('387',plain,
( ( sk_ != n12 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9581,zip_derived_cl6]) ).
thf(zip_derived_cl729_2999,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4375_3000,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4388,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n12 @ n15 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl4375]) ).
thf(zip_derived_cl332_3001,plain,
( ( sum @ n12 @ n16 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_3002,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl331_3003,plain,
( ( sum @ n12 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_3004,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_3005,plain,
( ( sum @ n15 @ n5 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210_3006,plain,
( ( sum @ n6 @ n20 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9305,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n12 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4388,zip_derived_cl332,zip_derived_cl50,zip_derived_cl331,zip_derived_cl49,zip_derived_cl384,zip_derived_cl210]) ).
thf(zip_derived_cl15_3007,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('388',plain,
( ( sk_ != n12 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9305,zip_derived_cl15]) ).
thf(zip_derived_cl729_3008,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4280_3009,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4293,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n12 @ n13 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl4280]) ).
thf(zip_derived_cl330_3010,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_3011,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl329_3012,plain,
( ( sum @ n12 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_3013,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl340_3014,plain,
( ( sum @ n13 @ n3 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_3015,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9119,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n12 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4293,zip_derived_cl330,zip_derived_cl48,zip_derived_cl329,zip_derived_cl47,zip_derived_cl340,zip_derived_cl164]) ).
thf(zip_derived_cl0_3016,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('389',plain,
( ( sk_ != n12 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9119,zip_derived_cl0]) ).
thf(zip_derived_cl729_3017,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4235_3018,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4248,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n12 @ n12 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl4235]) ).
thf(zip_derived_cl329_3019,plain,
( ( sum @ n12 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_3020,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl328_3021,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_3022,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl318_3023,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141_3024,plain,
( ( sum @ n3 @ n14 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9027,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n12 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4248,zip_derived_cl329,zip_derived_cl47,zip_derived_cl328,zip_derived_cl46,zip_derived_cl318,zip_derived_cl141]) ).
thf(zip_derived_cl3_3025,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('390',plain,
( ( sk_ != n12 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9027,zip_derived_cl3]) ).
thf(zip_derived_cl322_3026,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729_3027,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2018_3028,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2040,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n12 @ n5 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl2018]) ).
thf(zip_derived_cl6835,plain,
( ( sk__2
= ( sum @ ( pred @ n18 ) @ ( sum @ n5 @ ( pred @ ( sum @ n12 @ n5 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl322,zip_derived_cl2040]) ).
thf(zip_derived_cl61_3029,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl321_3030,plain,
( ( sum @ n12 @ n5 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_3031,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl185_3032,plain,
( ( sum @ n5 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6836,plain,
( ( sk__2
= ( sum @ n17 @ n0 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6835,zip_derived_cl61,zip_derived_cl321,zip_derived_cl60,zip_derived_cl185]) ).
thf(zip_derived_cl421_3033,plain,
( ( sum @ n17 @ n0 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7393,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n12 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6836,zip_derived_cl421]) ).
thf(zip_derived_cl3_3034,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('391',plain,
( ( sk_ != n12 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7393,zip_derived_cl3]) ).
thf(zip_derived_cl321_3035,plain,
( ( sum @ n12 @ n5 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729_3036,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1784_3037,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1806,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n12 @ n4 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl1784]) ).
thf(zip_derived_cl6830,plain,
( ( sk__2
= ( sum @ ( pred @ n17 ) @ ( sum @ n4 @ ( pred @ ( sum @ n12 @ n4 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl321,zip_derived_cl1806]) ).
thf(zip_derived_cl60_3038,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_3039,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3040,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl163_3041,plain,
( ( sum @ n4 @ n15 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6832,plain,
( ( sk__2
= ( sum @ n16 @ n19 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6830,zip_derived_cl60,zip_derived_cl320,zip_derived_cl59,zip_derived_cl163]) ).
thf(zip_derived_cl419_3042,plain,
( ( sum @ n16 @ n19 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7374,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n12 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6832,zip_derived_cl419]) ).
thf(zip_derived_cl6_3043,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('392',plain,
( ( sk_ != n12 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7374,zip_derived_cl6]) ).
thf(zip_derived_cl735_3044,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4375_3045,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4394,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n18 @ n15 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl4375]) ).
thf(zip_derived_cl458_3046,plain,
( ( sum @ n18 @ n16 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_3047,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl457_3048,plain,
( ( sum @ n18 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_3049,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl390_3050,plain,
( ( sum @ n15 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl321_3051,plain,
( ( sum @ n12 @ n5 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9317,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n18 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4394,zip_derived_cl458,zip_derived_cl56,zip_derived_cl457,zip_derived_cl55,zip_derived_cl390,zip_derived_cl321]) ).
thf(zip_derived_cl3_3052,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('393',plain,
( ( sk__1 != n15 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9317,zip_derived_cl3]) ).
thf(zip_derived_cl734_3053,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4375_3054,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4393,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n17 @ n15 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl4375]) ).
thf(zip_derived_cl437_3055,plain,
( ( sum @ n17 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_3056,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436_3057,plain,
( ( sum @ n17 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3058,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl389_3059,plain,
( ( sum @ n15 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_3060,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9315,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n17 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4393,zip_derived_cl437,zip_derived_cl55,zip_derived_cl436,zip_derived_cl54,zip_derived_cl389,zip_derived_cl299]) ).
thf(zip_derived_cl5_3061,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('394',plain,
( ( sk__1 != n15 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9315,zip_derived_cl5]) ).
thf(zip_derived_cl731_3062,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4375_3063,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4390,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n14 @ n15 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl4375]) ).
thf(zip_derived_cl374_3064,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3065,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl373_3066,plain,
( ( sum @ n14 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_3067,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_3068,plain,
( ( sum @ n15 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl233_3069,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9309,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n14 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4390,zip_derived_cl374,zip_derived_cl52,zip_derived_cl373,zip_derived_cl51,zip_derived_cl386,zip_derived_cl233]) ).
thf(zip_derived_cl11_3070,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('395',plain,
( ( sk__1 != n15 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9309,zip_derived_cl11]) ).
thf(zip_derived_cl726_3071,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4375_3072,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4385,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n9 @ n15 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl726,zip_derived_cl4375]) ).
thf(zip_derived_cl269_3073,plain,
( ( sum @ n9 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_3074,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268_3075,plain,
( ( sum @ n9 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_3076,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl381_3077,plain,
( ( sum @ n15 @ n2 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144_3078,plain,
( ( sum @ n3 @ n17 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9297,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n9 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4385,zip_derived_cl269,zip_derived_cl47,zip_derived_cl268,zip_derived_cl46,zip_derived_cl381,zip_derived_cl144]) ).
thf(zip_derived_cl0_3079,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('396',plain,
( ( sk_ != n9 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9297,zip_derived_cl0]) ).
thf(zip_derived_cl725_3080,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4375_3081,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4384,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n8 @ n15 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl725,zip_derived_cl4375]) ).
thf(zip_derived_cl248_3082,plain,
( ( sum @ n8 @ n16 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_3083,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl247_3084,plain,
( ( sum @ n8 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_3085,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_3086,plain,
( ( sum @ n15 @ n1 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122_3087,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9295,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n8 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4384,zip_derived_cl248,zip_derived_cl46,zip_derived_cl247,zip_derived_cl45,zip_derived_cl380,zip_derived_cl122]) ).
thf(zip_derived_cl2_3088,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('397',plain,
( ( sk__1 != n15 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9295,zip_derived_cl2]) ).
thf(zip_derived_cl721_3089,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4375_3090,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4380,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n4 @ n15 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl721,zip_derived_cl4375]) ).
thf(zip_derived_cl164_3091,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_3092,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl163_3093,plain,
( ( sum @ n4 @ n15 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_3094,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl397_3095,plain,
( ( sum @ n15 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl475_3096,plain,
( ( sum @ n19 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9287,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n4 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4380,zip_derived_cl164,zip_derived_cl63,zip_derived_cl163,zip_derived_cl62,zip_derived_cl397,zip_derived_cl475]) ).
thf(zip_derived_cl10_3097,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('398',plain,
( ( sk_ != n4 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9287,zip_derived_cl10]) ).
thf(zip_derived_cl720_3098,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4375_3099,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1191,zip_derived_cl37]) ).
thf(zip_derived_cl4379,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n3 @ n15 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl720,zip_derived_cl4375]) ).
thf(zip_derived_cl143_3100,plain,
( ( sum @ n3 @ n16 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_3101,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142_3102,plain,
( ( sum @ n3 @ n15 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_3103,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl396_3104,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl453_3105,plain,
( ( sum @ n18 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9285,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n3 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4379,zip_derived_cl143,zip_derived_cl62,zip_derived_cl142,zip_derived_cl61,zip_derived_cl396,zip_derived_cl453]) ).
thf(zip_derived_cl12_3106,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('399',plain,
( ( sk__1 != n15 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9285,zip_derived_cl12]) ).
thf(zip_derived_cl725_3107,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4582_3108,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4591,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n8 @ n19 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl725,zip_derived_cl4582]) ).
thf(zip_derived_cl252_3109,plain,
( ( sum @ n8 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_3110,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl251_3111,plain,
( ( sum @ n8 @ n19 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_3112,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl468_3113,plain,
( ( sum @ n19 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl193_3114,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9665,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n8 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4591,zip_derived_cl252,zip_derived_cl50,zip_derived_cl251,zip_derived_cl49,zip_derived_cl468,zip_derived_cl193]) ).
thf(zip_derived_cl11_3115,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('400',plain,
( ( sk_ != n8 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9665,zip_derived_cl11]) ).
thf(zip_derived_cl725_3116,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4537_3117,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4546,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n8 @ n18 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl725,zip_derived_cl4537]) ).
thf(zip_derived_cl251_3118,plain,
( ( sum @ n8 @ n19 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_3119,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl250_3120,plain,
( ( sum @ n8 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_3121,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl446_3122,plain,
( ( sum @ n18 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170_3123,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9573,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n8 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4546,zip_derived_cl251,zip_derived_cl49,zip_derived_cl250,zip_derived_cl48,zip_derived_cl446,zip_derived_cl170]) ).
thf(zip_derived_cl14_3124,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('401',plain,
( ( sk_ != n8 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9573,zip_derived_cl14]) ).
thf(zip_derived_cl725_3125,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4280_3126,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4289,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n8 @ n13 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl725,zip_derived_cl4280]) ).
thf(zip_derived_cl246_3127,plain,
( ( sum @ n8 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_3128,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_3129,plain,
( ( sum @ n8 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_3130,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl357_3131,plain,
( ( sum @ n13 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_3132,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9111,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n8 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4289,zip_derived_cl246,zip_derived_cl44,zip_derived_cl245,zip_derived_cl43,zip_derived_cl357,zip_derived_cl76]) ).
thf(zip_derived_cl8_3133,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('402',plain,
( ( sk_ != n8 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9111,zip_derived_cl8]) ).
thf(zip_derived_cl725_3134,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4235_3135,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4244,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n8 @ n12 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl725,zip_derived_cl4235]) ).
thf(zip_derived_cl245_3136,plain,
( ( sum @ n8 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_3137,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_3138,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_3139,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl335_3140,plain,
( ( sum @ n12 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl494_3141,plain,
( ( sum @ n20 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9019,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n8 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4244,zip_derived_cl245,zip_derived_cl43,zip_derived_cl244,zip_derived_cl63,zip_derived_cl335,zip_derived_cl494]) ).
thf(zip_derived_cl11_3142,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('403',plain,
( ( sk_ != n8 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9019,zip_derived_cl11]) ).
thf(zip_derived_cl725_3143,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2018_3144,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2036,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_cl725,zip_derived_cl2018]) ).
thf(zip_derived_cl238_3145,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_3146,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl237_3147,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_3148,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl181_3149,plain,
( ( sum @ n5 @ n12 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6802,plain,
( ( sk__2
= ( sum @ n13 @ n17 ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2036,zip_derived_cl238,zip_derived_cl57,zip_derived_cl237,zip_derived_cl56,zip_derived_cl181]) ).
thf(zip_derived_cl354_3150,plain,
( ( sum @ n13 @ n17 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7002,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n8 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6802,zip_derived_cl354]) ).
thf(zip_derived_cl11_3151,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('404',plain,
( ( sk_ != n8 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7002,zip_derived_cl11]) ).
thf(zip_derived_cl725_3152,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1784_3153,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1802,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_cl725,zip_derived_cl1784]) ).
thf(zip_derived_cl237_3154,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_3155,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl236_3156,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_3157,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl159_3158,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6698,plain,
( ( sk__2
= ( sum @ n12 @ n15 ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1802,zip_derived_cl237,zip_derived_cl56,zip_derived_cl236,zip_derived_cl55,zip_derived_cl159]) ).
thf(zip_derived_cl331_3159,plain,
( ( sum @ n12 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6867,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n8 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6698,zip_derived_cl331]) ).
thf(zip_derived_cl14_3160,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('405',plain,
( ( sk_ != n8 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6867,zip_derived_cl14]) ).
thf(zip_derived_cl364_3161,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731_3162,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2018_3163,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2042,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n14 @ n5 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl2018]) ).
thf(zip_derived_cl7060,plain,
( ( sk__2
= ( sum @ ( pred @ n20 ) @ ( sum @ n5 @ ( pred @ ( sum @ n14 @ n5 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2042]) ).
thf(zip_derived_cl63_3164,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl363_3165,plain,
( ( sum @ n14 @ n5 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_3166,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl187_3167,plain,
( ( sum @ n5 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7062,plain,
( ( sk__2
= ( sum @ n19 @ n2 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7060,zip_derived_cl63,zip_derived_cl363,zip_derived_cl62,zip_derived_cl187]) ).
thf(zip_derived_cl465_3168,plain,
( ( sum @ n19 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7705,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n14 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7062,zip_derived_cl465]) ).
thf(zip_derived_cl20_3169,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('406',plain,
( ( sk__1 != n5 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7705,zip_derived_cl20]) ).
thf(zip_derived_cl448_3170,plain,
( ( sum @ n18 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_3171,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2018_3172,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2046,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n18 @ n5 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl2018]) ).
thf(zip_derived_cl7576,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n5 @ ( pred @ ( sum @ n18 @ n5 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl448,zip_derived_cl2046]) ).
thf(zip_derived_cl46_3173,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl447_3174,plain,
( ( sum @ n18 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_3175,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170_3176,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_3177,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7579,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n18 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7576,zip_derived_cl46,zip_derived_cl447,zip_derived_cl45,zip_derived_cl170,zip_derived_cl112]) ).
thf(zip_derived_cl12_3178,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('407',plain,
( ( sk__1 != n5 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7579,zip_derived_cl12]) ).
thf(zip_derived_cl427_3179,plain,
( ( sum @ n17 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_3180,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2018_3181,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2045,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n17 @ n5 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl2018]) ).
thf(zip_derived_cl7443,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n5 @ ( pred @ ( sum @ n17 @ n5 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl427,zip_derived_cl2045]) ).
thf(zip_derived_cl45_3182,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl426_3183,plain,
( ( sum @ n17 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_3184,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl169_3185,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_3186,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7445,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n17 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7443,zip_derived_cl45,zip_derived_cl426,zip_derived_cl44,zip_derived_cl169,zip_derived_cl90]) ).
thf(zip_derived_cl14_3187,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('408',plain,
( ( sk__1 != n5 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7445,zip_derived_cl14]) ).
thf(zip_derived_cl726_3188,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2018_3189,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2037,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_cl726,zip_derived_cl2018]) ).
thf(zip_derived_cl259_3190,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3191,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_3192,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_3193,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182_3194,plain,
( ( sum @ n5 @ n13 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6803,plain,
( ( sk__2
= ( sum @ n14 @ n18 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2037,zip_derived_cl259,zip_derived_cl58,zip_derived_cl258,zip_derived_cl57,zip_derived_cl182]) ).
thf(zip_derived_cl376_3195,plain,
( ( sum @ n14 @ n18 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7106,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n9 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6803,zip_derived_cl376]) ).
thf(zip_derived_cl9_3196,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('409',plain,
( ( sk_ != n9 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7106,zip_derived_cl9]) ).
thf(zip_derived_cl721_3197,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2018_3198,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2032,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_cl721,zip_derived_cl2018]) ).
thf(zip_derived_cl154_3199,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_3200,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl153_3201,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3202,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl177_3203,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_3204,plain,
( ( sum @ n9 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6795,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n4 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2032,zip_derived_cl154,zip_derived_cl53,zip_derived_cl153,zip_derived_cl52,zip_derived_cl177,zip_derived_cl266]) ).
thf(zip_derived_cl19_3205,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('410',plain,
( ( sk_ != n4 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6795,zip_derived_cl19]) ).
thf(zip_derived_cl720_3206,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl2018_3207,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1037]) ).
thf(zip_derived_cl2031,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_cl720,zip_derived_cl2018]) ).
thf(zip_derived_cl133_3208,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3209,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_3210,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_3211,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_3212,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_3213,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6793,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n3 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2031,zip_derived_cl133,zip_derived_cl52,zip_derived_cl132,zip_derived_cl51,zip_derived_cl176,zip_derived_cl244]) ).
thf(zip_derived_cl0_3214,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('411',plain,
( ( sk__1 != n5 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6793,zip_derived_cl0]) ).
thf(zip_derived_cl734_3215,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4582_3216,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4600,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n17 @ n19 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl4582]) ).
thf(zip_derived_cl441_3217,plain,
( ( sum @ n17 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3218,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_3219,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3220,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl477_3221,plain,
( ( sum @ n19 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl391_3222,plain,
( ( sum @ n15 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9685,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n17 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4600,zip_derived_cl441,zip_derived_cl59,zip_derived_cl440,zip_derived_cl58,zip_derived_cl477,zip_derived_cl391]) ).
thf(zip_derived_cl14_3223,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('412',plain,
( ( sk_ != n17 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9685,zip_derived_cl14]) ).
thf(zip_derived_cl734_3224,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4537_3225,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4555,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n17 @ n18 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl4537]) ).
thf(zip_derived_cl440_3226,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3227,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl439_3228,plain,
( ( sum @ n17 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_3229,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl455_3230,plain,
( ( sum @ n18 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl368_3231,plain,
( ( sum @ n14 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9593,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n17 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4555,zip_derived_cl440,zip_derived_cl58,zip_derived_cl439,zip_derived_cl57,zip_derived_cl455,zip_derived_cl368]) ).
thf(zip_derived_cl17_3232,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('413',plain,
( ( sk_ != n17 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9593,zip_derived_cl17]) ).
thf(zip_derived_cl734_3233,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4280_3234,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4298,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n17 @ n13 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl4280]) ).
thf(zip_derived_cl435_3235,plain,
( ( sum @ n17 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_3236,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_3237,plain,
( ( sum @ n17 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3238,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl345_3239,plain,
( ( sum @ n13 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl253_3240,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9131,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n17 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4298,zip_derived_cl435,zip_derived_cl53,zip_derived_cl434,zip_derived_cl52,zip_derived_cl345,zip_derived_cl253]) ).
thf(zip_derived_cl11_3241,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('414',plain,
( ( sk_ != n17 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9131,zip_derived_cl11]) ).
thf(zip_derived_cl734_3242,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4235_3243,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4253,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n17 @ n12 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl4235]) ).
thf(zip_derived_cl434_3244,plain,
( ( sum @ n17 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3245,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl433_3246,plain,
( ( sum @ n17 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_3247,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl323_3248,plain,
( ( sum @ n12 @ n7 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl251_3249,plain,
( ( sum @ n8 @ n19 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9037,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n17 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4253,zip_derived_cl434,zip_derived_cl52,zip_derived_cl433,zip_derived_cl51,zip_derived_cl323,zip_derived_cl251]) ).
thf(zip_derived_cl14_3250,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('415',plain,
( ( sk_ != n17 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9037,zip_derived_cl14]) ).
thf(zip_derived_cl426_3251,plain,
( ( sum @ n17 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_3252,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1784_3253,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1811,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n17 @ n4 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl1784]) ).
thf(zip_derived_cl7434,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n4 @ ( pred @ ( sum @ n17 @ n4 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl426,zip_derived_cl1811]) ).
thf(zip_derived_cl44_3254,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl425_3255,plain,
( ( sum @ n17 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_3256,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168_3257,plain,
( ( sum @ n4 @ n20 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_3258,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7436,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n17 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7434,zip_derived_cl44,zip_derived_cl425,zip_derived_cl43,zip_derived_cl168,zip_derived_cl67]) ).
thf(zip_derived_cl17_3259,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('416',plain,
( ( sk_ != n17 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7436,zip_derived_cl17]) ).
thf(zip_derived_cl735_3260,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4582_3261,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4601,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n18 @ n19 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl4582]) ).
thf(zip_derived_cl462_3262,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_3263,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_3264,plain,
( ( sum @ n18 @ n19 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3265,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl478_3266,plain,
( ( sum @ n19 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl413_3267,plain,
( ( sum @ n16 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9687,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n18 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4601,zip_derived_cl462,zip_derived_cl60,zip_derived_cl461,zip_derived_cl59,zip_derived_cl478,zip_derived_cl413]) ).
thf(zip_derived_cl12_3268,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('417',plain,
( ( sk__1 != n19 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9687,zip_derived_cl12]) ).
thf(zip_derived_cl731_3269,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4582_3270,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4597,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n14 @ n19 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl4582]) ).
thf(zip_derived_cl378_3271,plain,
( ( sum @ n14 @ n20 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_3272,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl377_3273,plain,
( ( sum @ n14 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_3274,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl474_3275,plain,
( ( sum @ n19 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl325_3276,plain,
( ( sum @ n12 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9679,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n14 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4597,zip_derived_cl378,zip_derived_cl56,zip_derived_cl377,zip_derived_cl55,zip_derived_cl474,zip_derived_cl325]) ).
thf(zip_derived_cl20_3277,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('418',plain,
( ( sk__1 != n19 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9679,zip_derived_cl20]) ).
thf(zip_derived_cl726_3278,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4582_3279,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4592,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n9 @ n19 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl726,zip_derived_cl4582]) ).
thf(zip_derived_cl273_3280,plain,
( ( sum @ n9 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_3281,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_3282,plain,
( ( sum @ n9 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_3283,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl469_3284,plain,
( ( sum @ n19 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl215_3285,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9667,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n9 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4592,zip_derived_cl273,zip_derived_cl51,zip_derived_cl272,zip_derived_cl50,zip_derived_cl469,zip_derived_cl215]) ).
thf(zip_derived_cl9_3286,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('419',plain,
( ( sk_ != n9 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9667,zip_derived_cl9]) ).
thf(zip_derived_cl721_3287,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4582_3288,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4587,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n4 @ n19 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl721,zip_derived_cl4582]) ).
thf(zip_derived_cl168_3289,plain,
( ( sum @ n4 @ n20 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_3290,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl167_3291,plain,
( ( sum @ n4 @ n19 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_3292,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl464_3293,plain,
( ( sum @ n19 @ n1 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126_3294,plain,
( ( sum @ n2 @ n20 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9657,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n4 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4587,zip_derived_cl168,zip_derived_cl46,zip_derived_cl167,zip_derived_cl45,zip_derived_cl464,zip_derived_cl126]) ).
thf(zip_derived_cl19_3295,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('420',plain,
( ( sk_ != n4 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9657,zip_derived_cl19]) ).
thf(zip_derived_cl720_3296,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4582_3297,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl41]) ).
thf(zip_derived_cl4586,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n3 @ n19 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl720,zip_derived_cl4582]) ).
thf(zip_derived_cl147_3298,plain,
( ( sum @ n3 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_3299,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl146_3300,plain,
( ( sum @ n3 @ n19 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_3301,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl463_3302,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104_3303,plain,
( ( sum @ n1 @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9653,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n3 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4586,zip_derived_cl147,zip_derived_cl45,zip_derived_cl146,zip_derived_cl44,zip_derived_cl463,zip_derived_cl104]) ).
thf(zip_derived_cl0_3304,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('421',plain,
( ( sk__1 != n19 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9653,zip_derived_cl0]) ).
thf(zip_derived_cl735_3305,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4537_3306,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4556,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n18 @ n18 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl4537]) ).
thf(zip_derived_cl461_3307,plain,
( ( sum @ n18 @ n19 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3308,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl460_3309,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3310,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl456_3311,plain,
( ( sum @ n18 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl390_3312,plain,
( ( sum @ n15 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9595,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n18 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4556,zip_derived_cl461,zip_derived_cl59,zip_derived_cl460,zip_derived_cl58,zip_derived_cl456,zip_derived_cl390]) ).
thf(zip_derived_cl15_3313,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('422',plain,
( ( sk_ != n18 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9595,zip_derived_cl15]) ).
thf(zip_derived_cl735_3314,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4280_3315,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4299,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n18 @ n13 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl4280]) ).
thf(zip_derived_cl456_3316,plain,
( ( sum @ n18 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3317,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl455_3318,plain,
( ( sum @ n18 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_3319,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl346_3320,plain,
( ( sum @ n13 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl275_3321,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9133,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n18 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4299,zip_derived_cl456,zip_derived_cl54,zip_derived_cl455,zip_derived_cl53,zip_derived_cl346,zip_derived_cl275]) ).
thf(zip_derived_cl9_3322,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('423',plain,
( ( sk_ != n18 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9133,zip_derived_cl9]) ).
thf(zip_derived_cl735_3323,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4235_3324,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4254,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n18 @ n12 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl4235]) ).
thf(zip_derived_cl455_3325,plain,
( ( sum @ n18 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_3326,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl454_3327,plain,
( ( sum @ n18 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3328,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_3329,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl273_3330,plain,
( ( sum @ n9 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9041,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n18 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4254,zip_derived_cl455,zip_derived_cl53,zip_derived_cl454,zip_derived_cl52,zip_derived_cl324,zip_derived_cl273]) ).
thf(zip_derived_cl12_3331,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('424',plain,
( ( sk_ != n18 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9041,zip_derived_cl12]) ).
thf(zip_derived_cl447_3332,plain,
( ( sum @ n18 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_3333,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1784_3334,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1812,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n18 @ n4 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl1784]) ).
thf(zip_derived_cl7564,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n4 @ ( pred @ ( sum @ n18 @ n4 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl447,zip_derived_cl1812]) ).
thf(zip_derived_cl45_3335,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl446_3336,plain,
( ( sum @ n18 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_3337,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148_3338,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_3339,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7567,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n18 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7564,zip_derived_cl45,zip_derived_cl446,zip_derived_cl44,zip_derived_cl148,zip_derived_cl89]) ).
thf(zip_derived_cl15_3340,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('425',plain,
( ( sk_ != n18 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7567,zip_derived_cl15]) ).
thf(zip_derived_cl731_3341,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4235_3342,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4250,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n14 @ n12 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl4235]) ).
thf(zip_derived_cl371_3343,plain,
( ( sum @ n14 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_3344,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl370_3345,plain,
( ( sum @ n14 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_3346,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_3347,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl185_3348,plain,
( ( sum @ n5 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9031,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n14 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4250,zip_derived_cl371,zip_derived_cl49,zip_derived_cl370,zip_derived_cl48,zip_derived_cl320,zip_derived_cl185]) ).
thf(zip_derived_cl20_3349,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('426',plain,
( ( sk__1 != n12 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9031,zip_derived_cl20]) ).
thf(zip_derived_cl726_3350,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4235_3351,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4245,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n9 @ n12 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl726,zip_derived_cl4235]) ).
thf(zip_derived_cl266_3352,plain,
( ( sum @ n9 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_3353,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl265_3354,plain,
( ( sum @ n9 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_3355,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl336_3356,plain,
( ( sum @ n12 @ n20 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_3357,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9021,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n9 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4245,zip_derived_cl266,zip_derived_cl44,zip_derived_cl265,zip_derived_cl43,zip_derived_cl336,zip_derived_cl75]) ).
thf(zip_derived_cl9_3358,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('427',plain,
( ( sk_ != n9 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9021,zip_derived_cl9]) ).
thf(zip_derived_cl721_3359,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4235_3360,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4240,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n4 @ n12 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl721,zip_derived_cl4235]) ).
thf(zip_derived_cl161_3361,plain,
( ( sum @ n4 @ n13 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_3362,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_3363,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3364,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl331_3365,plain,
( ( sum @ n12 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl406_3366,plain,
( ( sum @ n16 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9009,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n4 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4240,zip_derived_cl161,zip_derived_cl60,zip_derived_cl160,zip_derived_cl59,zip_derived_cl331,zip_derived_cl406]) ).
thf(zip_derived_cl19_3367,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('428',plain,
( ( sk_ != n4 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9009,zip_derived_cl19]) ).
thf(zip_derived_cl720_3368,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4235_3369,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl34]) ).
thf(zip_derived_cl4239,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n3 @ n12 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl720,zip_derived_cl4235]) ).
thf(zip_derived_cl140_3370,plain,
( ( sum @ n3 @ n13 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3371,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139_3372,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3373,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330_3374,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_3375,plain,
( ( sum @ n15 @ n5 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9007,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n3 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4239,zip_derived_cl140,zip_derived_cl59,zip_derived_cl139,zip_derived_cl58,zip_derived_cl330,zip_derived_cl384]) ).
thf(zip_derived_cl0_3376,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('429',plain,
( ( sk__1 != n12 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9007,zip_derived_cl0]) ).
thf(zip_derived_cl731_3377,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4537_3378,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4552,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n14 @ n18 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl4537]) ).
thf(zip_derived_cl377_3379,plain,
( ( sum @ n14 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_3380,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_3381,plain,
( ( sum @ n14 @ n18 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3382,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl452_3383,plain,
( ( sum @ n18 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl302_3384,plain,
( ( sum @ n11 @ n7 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9585,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n14 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4552,zip_derived_cl377,zip_derived_cl55,zip_derived_cl376,zip_derived_cl54,zip_derived_cl452,zip_derived_cl302]) ).
thf(zip_derived_cl2_3385,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('430',plain,
( ( sk_ != n14 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9585,zip_derived_cl2]) ).
thf(zip_derived_cl731_3386,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4280_3387,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4295,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n14 @ n13 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl4280]) ).
thf(zip_derived_cl372_3388,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_3389,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl371_3390,plain,
( ( sum @ n14 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_3391,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl342_3392,plain,
( ( sum @ n13 @ n5 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl208_3393,plain,
( ( sum @ n6 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9123,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n14 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4295,zip_derived_cl372,zip_derived_cl50,zip_derived_cl371,zip_derived_cl49,zip_derived_cl342,zip_derived_cl208]) ).
thf(zip_derived_cl17_3394,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('431',plain,
( ( sk_ != n14 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9123,zip_derived_cl17]) ).
thf(zip_derived_cl363_3395,plain,
( ( sum @ n14 @ n5 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731_3396,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1784_3397,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1808,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n14 @ n4 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl1784]) ).
thf(zip_derived_cl7054,plain,
( ( sk__2
= ( sum @ ( pred @ n19 ) @ ( sum @ n4 @ ( pred @ ( sum @ n14 @ n4 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl363,zip_derived_cl1808]) ).
thf(zip_derived_cl62_3398,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl362_3399,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_3400,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl165_3401,plain,
( ( sum @ n4 @ n17 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7056,plain,
( ( sk__2
= ( sum @ n18 @ n0 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7054,zip_derived_cl62,zip_derived_cl362,zip_derived_cl61,zip_derived_cl165]) ).
thf(zip_derived_cl442_3402,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7521,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n14 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7056,zip_derived_cl442]) ).
thf(zip_derived_cl2_3403,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('432',plain,
( ( sk_ != n14 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7521,zip_derived_cl2]) ).
thf(zip_derived_cl726_3404,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1784_3405,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1803,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_cl726,zip_derived_cl1784]) ).
thf(zip_derived_cl258_3406,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_3407,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl257_3408,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_3409,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_3410,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6699,plain,
( ( sk__2
= ( sum @ n13 @ n16 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1803,zip_derived_cl258,zip_derived_cl57,zip_derived_cl257,zip_derived_cl56,zip_derived_cl160]) ).
thf(zip_derived_cl353_3411,plain,
( ( sum @ n13 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6992,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n9 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6699,zip_derived_cl353]) ).
thf(zip_derived_cl12_3412,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('433',plain,
( ( sk_ != n9 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6992,zip_derived_cl12]) ).
thf(zip_derived_cl721_3413,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1784_3414,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1798,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_cl721,zip_derived_cl1784]) ).
thf(zip_derived_cl153_3415,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3416,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl152_3417,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_3418,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl155_3419,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_3420,plain,
( ( sum @ n8 @ n11 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6691,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n4 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1798,zip_derived_cl153,zip_derived_cl52,zip_derived_cl152,zip_derived_cl51,zip_derived_cl155,zip_derived_cl243]) ).
thf(zip_derived_cl1_3421,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('434',plain,
( ( sk_ != n4 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6691,zip_derived_cl1]) ).
thf(zip_derived_cl720_3422,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl1784_3423,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl1036]) ).
thf(zip_derived_cl1797,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_cl720,zip_derived_cl1784]) ).
thf(zip_derived_cl132_3424,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_3425,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl131_3426,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_3427,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_3428,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221_3429,plain,
( ( sum @ n7 @ n10 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6689,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n3 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1797,zip_derived_cl132,zip_derived_cl51,zip_derived_cl131,zip_derived_cl50,zip_derived_cl154,zip_derived_cl221]) ).
thf(zip_derived_cl3_3430,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('435',plain,
( ( sk__1 != n4 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6689,zip_derived_cl3]) ).
thf(zip_derived_cl720_3431,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4537_3432,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4541,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n3 @ n18 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl720,zip_derived_cl4537]) ).
thf(zip_derived_cl146_3433,plain,
( ( sum @ n3 @ n19 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_3434,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145_3435,plain,
( ( sum @ n3 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_3436,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl462_3437,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_3438,plain,
( ( sum @ n0 @ n17 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9561,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n3 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4541,zip_derived_cl146,zip_derived_cl44,zip_derived_cl145,zip_derived_cl43,zip_derived_cl462,zip_derived_cl81]) ).
thf(zip_derived_cl3_3439,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('436',plain,
( ( sk_ != n3 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9561,zip_derived_cl3]) ).
thf(zip_derived_cl720_3440,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4280_3441,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4284,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n3 @ n13 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl720,zip_derived_cl4280]) ).
thf(zip_derived_cl141_3442,plain,
( ( sum @ n3 @ n14 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_3443,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140_3444,plain,
( ( sum @ n3 @ n13 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3445,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_3446,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_3447,plain,
( ( sum @ n16 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9099,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n3 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4284,zip_derived_cl141,zip_derived_cl60,zip_derived_cl140,zip_derived_cl59,zip_derived_cl352,zip_derived_cl407]) ).
thf(zip_derived_cl18_3448,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('437',plain,
( ( sk_ != n3 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9099,zip_derived_cl18]) ).
thf(zip_derived_cl726_3449,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4280_3450,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4290,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n9 @ n13 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl726,zip_derived_cl4280]) ).
thf(zip_derived_cl267_3451,plain,
( ( sum @ n9 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_3452,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_3453,plain,
( ( sum @ n9 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_3454,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl337_3455,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_3456,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9113,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n9 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4290,zip_derived_cl267,zip_derived_cl45,zip_derived_cl266,zip_derived_cl44,zip_derived_cl337,zip_derived_cl98]) ).
thf(zip_derived_cl6_3457,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('438',plain,
( ( sk_ != n9 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9113,zip_derived_cl6]) ).
thf(zip_derived_cl721_3458,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4280_3459,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl35]) ).
thf(zip_derived_cl4285,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n4 @ n13 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl721,zip_derived_cl4280]) ).
thf(zip_derived_cl162_3460,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_3461,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl161_3462,plain,
( ( sum @ n4 @ n13 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_3463,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_3464,plain,
( ( sum @ n13 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl429_3465,plain,
( ( sum @ n17 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9101,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n4 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4285,zip_derived_cl162,zip_derived_cl61,zip_derived_cl161,zip_derived_cl60,zip_derived_cl353,zip_derived_cl429]) ).
thf(zip_derived_cl16_3466,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('439',plain,
( ( sk_ != n4 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9101,zip_derived_cl16]) ).
thf('440',plain,
( ( sk__1 = n18 )
| ( sk__1 = n13 )
| ( sk__1 = n14 )
| ( sk__1 = n16 )
| ( sk__1 = n10 )
| ( sk__1 = n0 )
| ( sk__1 = n20 )
| ( sk__1 = n2 )
| ( sk__1 = n17 )
| ( sk__1 = n7 )
| ( sk__1 = n11 )
| ( sk__1 = n9 )
| ( sk__1 = n8 )
| ( sk__1 = n1 )
| ( sk__1 = n3 )
| ( sk__1 = n6 )
| ( sk__1 = n15 )
| ( sk__1 = n5 )
| ( sk__1 = n19 )
| ( sk__1 = n12 )
| ( sk__1 = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl506]) ).
thf(zip_derived_cl726_3467,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl4537_3468,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl40]) ).
thf(zip_derived_cl4547,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n9 @ n18 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl726,zip_derived_cl4537]) ).
thf(zip_derived_cl272_3469,plain,
( ( sum @ n9 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_3470,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl271_3471,plain,
( ( sum @ n9 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_3472,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl447_3473,plain,
( ( sum @ n18 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_3474,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9575,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n9 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4547,zip_derived_cl272,zip_derived_cl50,zip_derived_cl271,zip_derived_cl49,zip_derived_cl447,zip_derived_cl192]) ).
thf(zip_derived_cl12_3475,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('441',plain,
( ( sk_ != n9 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9575,zip_derived_cl12]) ).
thf('442',plain,
( ( sk_ = n9 )
| ( sk_ = n4 )
| ( sk_ = n0 )
| ( sk_ = n2 )
| ( sk_ = n1 )
| ( sk_ = n20 )
| ( sk_ = n16 )
| ( sk_ = n15 )
| ( sk_ = n5 )
| ( sk_ = n6 )
| ( sk_ = n13 )
| ( sk_ = n7 )
| ( sk_ = n19 )
| ( sk_ = n10 )
| ( sk_ = n11 )
| ( sk_ = n12 )
| ( sk_ = n8 )
| ( sk_ = n17 )
| ( sk_ = n18 )
| ( sk_ = n14 )
| ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl9785,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257','258','259','260','261','262','263','264','265','266','267','268','269','270','271','272','273','274','275','276','277','278','279','280','281','282','283','284','285','286','287','288','289','290','291','292','293','294','295','296','297','298','299','300','301','302','303','304','305','306','307','308','309','310','311','312','313','314','315','316','317','318','319','320','321','322','323','324','325','326','327','328','329','330','331','332','333','334','335','336','337','338','339','340','341','342','343','344','345','346','347','348','349','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM375+1.020 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1NHFns7Z6A true
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 08:29:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.22/0.62 % Total configuration time : 435
% 0.22/0.62 % Estimated wc time : 1092
% 0.22/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 10.58/2.17 % Solved by fo/fo1_av.sh.
% 10.58/2.17 % done 3930 iterations in 0.912s
% 10.58/2.17 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 10.58/2.17 % SZS output start Refutation
% See solution above
% 10.58/2.21
% 10.58/2.21
% 10.58/2.21 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 10.58/2.21 % Terminating...
% 11.72/2.29 % Runner terminated.
% 11.72/2.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------