TSTP Solution File: NUM375+1.015 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM375+1.015 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BFcduhVqgU true
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 12:40:03 EDT 2023
% Result : Unsatisfiable 5.30s 1.46s
% Output : Refutation 6.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 23
% Syntax : Number of formulae : 3285 (1836 unt; 22 typ; 0 def)
% Number of atoms : 5818 (5817 equ; 0 cnn)
% Maximal formula atoms : 457 ( 1 avg)
% Number of connectives : 12681 ( 904 ~; 346 |;1043 &;9222 @)
% ( 0 <=>; 0 =>;1166 <=; 0 <~>)
% Maximal formula depth : 430 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 3 ( 0 ^; 0 !; 3 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $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(sum_type,type,
sum: $i > $i > $i ).
thf(n4_type,type,
n4: $i ).
thf(n13_type,type,
n13: $i ).
thf(n10_type,type,
n10: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(n9_type,type,
n9: $i ).
thf(n6_type,type,
n6: $i ).
thf(n15_type,type,
n15: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(pred_type,type,
pred: $i > $i ).
thf(n0_type,type,
n0: $i ).
thf(n8_type,type,
n8: $i ).
thf(n14_type,type,
n14: $i ).
thf(n12_type,type,
n12: $i ).
thf(n5_type,type,
n5: $i ).
thf(n1_type,type,
n1: $i ).
thf(n2_type,type,
n2: $i ).
thf(try_satisfy_this,axiom,
? [X: $i,Y: $i,Z: $i] :
( ( n14 != n15 )
& ( n13 != n15 )
& ( n13 != n14 )
& ( n12 != n15 )
& ( n12 != n14 )
& ( n12 != n13 )
& ( n11 != n15 )
& ( n11 != n14 )
& ( n11 != n13 )
& ( n11 != n12 )
& ( n10 != n15 )
& ( n10 != n14 )
& ( n10 != n13 )
& ( n10 != n12 )
& ( n10 != n11 )
& ( n9 != n15 )
& ( n9 != n14 )
& ( n9 != n13 )
& ( n9 != n12 )
& ( n9 != n11 )
& ( n9 != n10 )
& ( n8 != n15 )
& ( n8 != n14 )
& ( n8 != n13 )
& ( n8 != n12 )
& ( n8 != n11 )
& ( n8 != n10 )
& ( n8 != n9 )
& ( n7 != n15 )
& ( n7 != n14 )
& ( n7 != n13 )
& ( n7 != n12 )
& ( n7 != n11 )
& ( n7 != n10 )
& ( n7 != n9 )
& ( n7 != n8 )
& ( n6 != n15 )
& ( n6 != n14 )
& ( n6 != n13 )
& ( n6 != n12 )
& ( n6 != n11 )
& ( n6 != n10 )
& ( n6 != n9 )
& ( n6 != n8 )
& ( n6 != n7 )
& ( n5 != n15 )
& ( n5 != n14 )
& ( n5 != n13 )
& ( n5 != n12 )
& ( n5 != n11 )
& ( n5 != n10 )
& ( n5 != n9 )
& ( n5 != n8 )
& ( n5 != n7 )
& ( n5 != n6 )
& ( n4 != n15 )
& ( n4 != n14 )
& ( n4 != n13 )
& ( n4 != n12 )
& ( n4 != n11 )
& ( n4 != n10 )
& ( n4 != n9 )
& ( n4 != n8 )
& ( n4 != n7 )
& ( n4 != n6 )
& ( n4 != n5 )
& ( n3 != n15 )
& ( n3 != n14 )
& ( n3 != n13 )
& ( n3 != n12 )
& ( n3 != n11 )
& ( n3 != n10 )
& ( n3 != n9 )
& ( n3 != n8 )
& ( n3 != n7 )
& ( n3 != n6 )
& ( n3 != n5 )
& ( n3 != n4 )
& ( n2 != n15 )
& ( n2 != n14 )
& ( n2 != n13 )
& ( n2 != n12 )
& ( n2 != n11 )
& ( n2 != n10 )
& ( n2 != n9 )
& ( n2 != n8 )
& ( n2 != n7 )
& ( n2 != n6 )
& ( n2 != n5 )
& ( n2 != n4 )
& ( n2 != n3 )
& ( n1 != n15 )
& ( n1 != n14 )
& ( n1 != n13 )
& ( n1 != n12 )
& ( n1 != n11 )
& ( n1 != n10 )
& ( n1 != n9 )
& ( n1 != n8 )
& ( n1 != n7 )
& ( n1 != n6 )
& ( n1 != n5 )
& ( n1 != n4 )
& ( n1 != n3 )
& ( n1 != n2 )
& ( n0 != n15 )
& ( n0 != n14 )
& ( n0 != n13 )
& ( n0 != n12 )
& ( n0 != n11 )
& ( n0 != n10 )
& ( n0 != n9 )
& ( n0 != n8 )
& ( n0 != n7 )
& ( n0 != n6 )
& ( n0 != n5 )
& ( n0 != n4 )
& ( n0 != n3 )
& ( n0 != n2 )
& ( n0 != n1 )
& ( 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 = n15 )
| ( Y = n14 )
| ( Y = n13 )
| ( Y = n12 )
| ( Y = n11 )
| ( Y = n10 )
| ( Y = n9 )
| ( Y = n8 )
| ( Y = n7 )
| ( Y = n6 )
| ( Y = n5 )
| ( Y = n4 )
| ( Y = n3 )
| ( Y = n2 )
| ( Y = n1 )
| ( Y = n0 ) )
& ( ( X = n15 )
| ( X = n14 )
| ( X = n13 )
| ( X = n12 )
| ( X = n11 )
| ( X = n10 )
| ( X = n9 )
| ( X = n8 )
| ( X = n7 )
| ( X = n6 )
| ( X = n5 )
| ( X = n4 )
| ( X = n3 )
| ( X = n2 )
| ( X = n1 )
| ( X = n0 ) )
& ( ( sum @ n15 @ n15 )
= n14 )
& ( ( sum @ n15 @ n14 )
= n13 )
& ( ( sum @ n15 @ n13 )
= n12 )
& ( ( sum @ n15 @ n12 )
= n11 )
& ( ( sum @ n15 @ n11 )
= n10 )
& ( ( sum @ n15 @ n10 )
= n9 )
& ( ( sum @ n15 @ n9 )
= n8 )
& ( ( sum @ n15 @ n8 )
= n7 )
& ( ( sum @ n15 @ n7 )
= n6 )
& ( ( sum @ n15 @ n6 )
= n5 )
& ( ( sum @ n15 @ n5 )
= n4 )
& ( ( sum @ n15 @ n4 )
= n3 )
& ( ( sum @ n15 @ n3 )
= n2 )
& ( ( sum @ n15 @ n2 )
= n1 )
& ( ( sum @ n15 @ n1 )
= n0 )
& ( ( sum @ n15 @ n0 )
= n15 )
& ( ( sum @ n14 @ n15 )
= n13 )
& ( ( sum @ n14 @ n14 )
= n12 )
& ( ( sum @ n14 @ n13 )
= n11 )
& ( ( sum @ n14 @ n12 )
= n10 )
& ( ( sum @ n14 @ n11 )
= n9 )
& ( ( sum @ n14 @ n10 )
= n8 )
& ( ( sum @ n14 @ n9 )
= n7 )
& ( ( sum @ n14 @ n8 )
= n6 )
& ( ( sum @ n14 @ n7 )
= n5 )
& ( ( sum @ n14 @ n6 )
= n4 )
& ( ( sum @ n14 @ n5 )
= n3 )
& ( ( sum @ n14 @ n4 )
= n2 )
& ( ( sum @ n14 @ n3 )
= n1 )
& ( ( sum @ n14 @ n2 )
= n0 )
& ( ( sum @ n14 @ n1 )
= n15 )
& ( ( sum @ n14 @ n0 )
= n14 )
& ( ( sum @ n13 @ n15 )
= n12 )
& ( ( sum @ n13 @ n14 )
= n11 )
& ( ( sum @ n13 @ n13 )
= n10 )
& ( ( sum @ n13 @ n12 )
= n9 )
& ( ( sum @ n13 @ n11 )
= n8 )
& ( ( sum @ n13 @ n10 )
= n7 )
& ( ( sum @ n13 @ n9 )
= n6 )
& ( ( sum @ n13 @ n8 )
= n5 )
& ( ( sum @ n13 @ n7 )
= n4 )
& ( ( sum @ n13 @ n6 )
= n3 )
& ( ( sum @ n13 @ n5 )
= n2 )
& ( ( sum @ n13 @ n4 )
= n1 )
& ( ( sum @ n13 @ n3 )
= n0 )
& ( ( sum @ n13 @ n2 )
= n15 )
& ( ( sum @ n13 @ n1 )
= n14 )
& ( ( sum @ n13 @ n0 )
= n13 )
& ( ( sum @ n12 @ n15 )
= n11 )
& ( ( sum @ n12 @ n14 )
= n10 )
& ( ( sum @ n12 @ n13 )
= n9 )
& ( ( sum @ n12 @ n12 )
= n8 )
& ( ( sum @ n12 @ n11 )
= n7 )
& ( ( sum @ n12 @ n10 )
= n6 )
& ( ( sum @ n12 @ n9 )
= n5 )
& ( ( sum @ n12 @ n8 )
= n4 )
& ( ( sum @ n12 @ n7 )
= n3 )
& ( ( sum @ n12 @ n6 )
= n2 )
& ( ( sum @ n12 @ n5 )
= n1 )
& ( ( sum @ n12 @ n4 )
= n0 )
& ( ( sum @ n12 @ n3 )
= n15 )
& ( ( sum @ n12 @ n2 )
= n14 )
& ( ( sum @ n12 @ n1 )
= n13 )
& ( ( sum @ n12 @ n0 )
= n12 )
& ( ( sum @ n11 @ n15 )
= n10 )
& ( ( sum @ n11 @ n14 )
= n9 )
& ( ( sum @ n11 @ n13 )
= n8 )
& ( ( sum @ n11 @ n12 )
= n7 )
& ( ( sum @ n11 @ n11 )
= n6 )
& ( ( sum @ n11 @ n10 )
= n5 )
& ( ( sum @ n11 @ n9 )
= n4 )
& ( ( sum @ n11 @ n8 )
= n3 )
& ( ( sum @ n11 @ n7 )
= n2 )
& ( ( sum @ n11 @ n6 )
= n1 )
& ( ( sum @ n11 @ n5 )
= n0 )
& ( ( sum @ n11 @ n4 )
= n15 )
& ( ( sum @ n11 @ n3 )
= n14 )
& ( ( sum @ n11 @ n2 )
= n13 )
& ( ( sum @ n11 @ n1 )
= n12 )
& ( ( sum @ n11 @ n0 )
= n11 )
& ( ( sum @ n10 @ n15 )
= n9 )
& ( ( sum @ n10 @ n14 )
= n8 )
& ( ( sum @ n10 @ n13 )
= n7 )
& ( ( sum @ n10 @ n12 )
= n6 )
& ( ( sum @ n10 @ n11 )
= n5 )
& ( ( sum @ n10 @ n10 )
= n4 )
& ( ( sum @ n10 @ n9 )
= n3 )
& ( ( sum @ n10 @ n8 )
= n2 )
& ( ( sum @ n10 @ n7 )
= n1 )
& ( ( sum @ n10 @ n6 )
= n0 )
& ( ( sum @ n10 @ n5 )
= n15 )
& ( ( sum @ n10 @ n4 )
= n14 )
& ( ( sum @ n10 @ n3 )
= n13 )
& ( ( sum @ n10 @ n2 )
= n12 )
& ( ( sum @ n10 @ n1 )
= n11 )
& ( ( sum @ n10 @ n0 )
= n10 )
& ( ( sum @ n9 @ n15 )
= n8 )
& ( ( sum @ n9 @ n14 )
= n7 )
& ( ( sum @ n9 @ n13 )
= n6 )
& ( ( sum @ n9 @ n12 )
= n5 )
& ( ( sum @ n9 @ n11 )
= n4 )
& ( ( sum @ n9 @ n10 )
= n3 )
& ( ( sum @ n9 @ n9 )
= n2 )
& ( ( sum @ n9 @ n8 )
= n1 )
& ( ( sum @ n9 @ n7 )
= n0 )
& ( ( sum @ n9 @ n6 )
= n15 )
& ( ( sum @ n9 @ n5 )
= n14 )
& ( ( sum @ n9 @ n4 )
= n13 )
& ( ( sum @ n9 @ n3 )
= n12 )
& ( ( sum @ n9 @ n2 )
= n11 )
& ( ( sum @ n9 @ n1 )
= n10 )
& ( ( sum @ n9 @ n0 )
= n9 )
& ( ( sum @ n8 @ n15 )
= n7 )
& ( ( sum @ n8 @ n14 )
= n6 )
& ( ( sum @ n8 @ n13 )
= n5 )
& ( ( sum @ n8 @ n12 )
= n4 )
& ( ( sum @ n8 @ n11 )
= n3 )
& ( ( sum @ n8 @ n10 )
= n2 )
& ( ( sum @ n8 @ n9 )
= n1 )
& ( ( sum @ n8 @ n8 )
= n0 )
& ( ( sum @ n8 @ n7 )
= n15 )
& ( ( sum @ n8 @ n6 )
= n14 )
& ( ( sum @ n8 @ n5 )
= n13 )
& ( ( sum @ n8 @ n4 )
= n12 )
& ( ( sum @ n8 @ n3 )
= n11 )
& ( ( sum @ n8 @ n2 )
= n10 )
& ( ( sum @ n8 @ n1 )
= n9 )
& ( ( sum @ n8 @ n0 )
= n8 )
& ( ( sum @ n7 @ n15 )
= n6 )
& ( ( sum @ n7 @ n14 )
= n5 )
& ( ( sum @ n7 @ n13 )
= n4 )
& ( ( sum @ n7 @ n12 )
= n3 )
& ( ( sum @ n7 @ n11 )
= n2 )
& ( ( sum @ n7 @ n10 )
= n1 )
& ( ( sum @ n7 @ n9 )
= n0 )
& ( ( sum @ n7 @ n8 )
= n15 )
& ( ( sum @ n7 @ n7 )
= n14 )
& ( ( sum @ n7 @ n6 )
= n13 )
& ( ( sum @ n7 @ n5 )
= n12 )
& ( ( sum @ n7 @ n4 )
= n11 )
& ( ( sum @ n7 @ n3 )
= n10 )
& ( ( sum @ n7 @ n2 )
= n9 )
& ( ( sum @ n7 @ n1 )
= n8 )
& ( ( sum @ n7 @ n0 )
= n7 )
& ( ( sum @ n6 @ n15 )
= n5 )
& ( ( sum @ n6 @ n14 )
= n4 )
& ( ( sum @ n6 @ n13 )
= n3 )
& ( ( sum @ n6 @ n12 )
= n2 )
& ( ( sum @ n6 @ n11 )
= n1 )
& ( ( sum @ n6 @ n10 )
= n0 )
& ( ( sum @ n6 @ n9 )
= n15 )
& ( ( sum @ n6 @ n8 )
= n14 )
& ( ( sum @ n6 @ n7 )
= n13 )
& ( ( sum @ n6 @ n6 )
= n12 )
& ( ( sum @ n6 @ n5 )
= n11 )
& ( ( sum @ n6 @ n4 )
= n10 )
& ( ( sum @ n6 @ n3 )
= n9 )
& ( ( sum @ n6 @ n2 )
= n8 )
& ( ( sum @ n6 @ n1 )
= n7 )
& ( ( sum @ n6 @ n0 )
= n6 )
& ( ( sum @ n5 @ n15 )
= n4 )
& ( ( sum @ n5 @ n14 )
= n3 )
& ( ( sum @ n5 @ n13 )
= n2 )
& ( ( sum @ n5 @ n12 )
= n1 )
& ( ( sum @ n5 @ n11 )
= n0 )
& ( ( sum @ n5 @ n10 )
= n15 )
& ( ( sum @ n5 @ n9 )
= n14 )
& ( ( sum @ n5 @ n8 )
= n13 )
& ( ( sum @ n5 @ n7 )
= n12 )
& ( ( sum @ n5 @ n6 )
= n11 )
& ( ( sum @ n5 @ n5 )
= n10 )
& ( ( sum @ n5 @ n4 )
= n9 )
& ( ( sum @ n5 @ n3 )
= n8 )
& ( ( sum @ n5 @ n2 )
= n7 )
& ( ( sum @ n5 @ n1 )
= n6 )
& ( ( sum @ n5 @ n0 )
= n5 )
& ( ( sum @ n4 @ n15 )
= n3 )
& ( ( sum @ n4 @ n14 )
= n2 )
& ( ( sum @ n4 @ n13 )
= n1 )
& ( ( sum @ n4 @ n12 )
= n0 )
& ( ( sum @ n4 @ n11 )
= n15 )
& ( ( sum @ n4 @ n10 )
= n14 )
& ( ( sum @ n4 @ n9 )
= n13 )
& ( ( sum @ n4 @ n8 )
= n12 )
& ( ( sum @ n4 @ n7 )
= n11 )
& ( ( sum @ n4 @ n6 )
= n10 )
& ( ( sum @ n4 @ n5 )
= n9 )
& ( ( sum @ n4 @ n4 )
= n8 )
& ( ( sum @ n4 @ n3 )
= n7 )
& ( ( sum @ n4 @ n2 )
= n6 )
& ( ( sum @ n4 @ n1 )
= n5 )
& ( ( sum @ n4 @ n0 )
= n4 )
& ( ( sum @ n3 @ n15 )
= n2 )
& ( ( sum @ n3 @ n14 )
= n1 )
& ( ( sum @ n3 @ n13 )
= n0 )
& ( ( sum @ n3 @ n12 )
= n15 )
& ( ( sum @ n3 @ n11 )
= n14 )
& ( ( sum @ n3 @ n10 )
= n13 )
& ( ( sum @ n3 @ n9 )
= n12 )
& ( ( sum @ n3 @ n8 )
= n11 )
& ( ( sum @ n3 @ n7 )
= n10 )
& ( ( sum @ n3 @ n6 )
= n9 )
& ( ( sum @ n3 @ n5 )
= n8 )
& ( ( sum @ n3 @ n4 )
= n7 )
& ( ( sum @ n3 @ n3 )
= n6 )
& ( ( sum @ n3 @ n2 )
= n5 )
& ( ( sum @ n3 @ n1 )
= n4 )
& ( ( sum @ n3 @ n0 )
= n3 )
& ( ( sum @ n2 @ n15 )
= n1 )
& ( ( sum @ n2 @ n14 )
= n0 )
& ( ( sum @ n2 @ n13 )
= n15 )
& ( ( sum @ n2 @ n12 )
= n14 )
& ( ( sum @ n2 @ n11 )
= n13 )
& ( ( sum @ n2 @ n10 )
= n12 )
& ( ( sum @ n2 @ n9 )
= n11 )
& ( ( sum @ n2 @ n8 )
= n10 )
& ( ( sum @ n2 @ n7 )
= n9 )
& ( ( sum @ n2 @ n6 )
= n8 )
& ( ( sum @ n2 @ n5 )
= n7 )
& ( ( sum @ n2 @ n4 )
= n6 )
& ( ( sum @ n2 @ n3 )
= n5 )
& ( ( sum @ n2 @ n2 )
= n4 )
& ( ( sum @ n2 @ n1 )
= n3 )
& ( ( sum @ n2 @ n0 )
= n2 )
& ( ( sum @ n1 @ n15 )
= n0 )
& ( ( sum @ n1 @ n14 )
= n15 )
& ( ( sum @ n1 @ n13 )
= n14 )
& ( ( sum @ n1 @ n12 )
= n13 )
& ( ( sum @ n1 @ n11 )
= n12 )
& ( ( sum @ n1 @ n10 )
= n11 )
& ( ( sum @ n1 @ n9 )
= n10 )
& ( ( sum @ n1 @ n8 )
= n9 )
& ( ( sum @ n1 @ n7 )
= n8 )
& ( ( sum @ n1 @ n6 )
= n7 )
& ( ( sum @ n1 @ n5 )
= n6 )
& ( ( sum @ n1 @ n4 )
= n5 )
& ( ( sum @ n1 @ n3 )
= n4 )
& ( ( sum @ n1 @ n2 )
= n3 )
& ( ( sum @ n1 @ n1 )
= n2 )
& ( ( sum @ n1 @ n0 )
= n1 )
& ( ( sum @ n0 @ n15 )
= n15 )
& ( ( sum @ n0 @ n14 )
= n14 )
& ( ( sum @ n0 @ n13 )
= n13 )
& ( ( sum @ n0 @ n12 )
= n12 )
& ( ( sum @ n0 @ n11 )
= n11 )
& ( ( sum @ n0 @ n10 )
= n10 )
& ( ( sum @ n0 @ n9 )
= n9 )
& ( ( sum @ n0 @ n8 )
= n8 )
& ( ( sum @ n0 @ n7 )
= n7 )
& ( ( sum @ n0 @ n6 )
= n6 )
& ( ( sum @ n0 @ n5 )
= n5 )
& ( ( sum @ n0 @ n4 )
= n4 )
& ( ( sum @ n0 @ n3 )
= n3 )
& ( ( sum @ n0 @ n2 )
= n2 )
& ( ( sum @ n0 @ n1 )
= n1 )
& ( ( sum @ n0 @ n0 )
= n0 )
& ( ( pred @ n15 )
= n14 )
& ( ( pred @ n14 )
= n13 )
& ( ( pred @ n13 )
= n12 )
& ( ( pred @ n12 )
= n11 )
& ( ( pred @ n11 )
= n10 )
& ( ( pred @ n10 )
= n9 )
& ( ( pred @ n9 )
= n8 )
& ( ( pred @ n8 )
= n7 )
& ( ( pred @ n7 )
= n6 )
& ( ( pred @ n6 )
= n5 )
& ( ( pred @ n5 )
= n4 )
& ( ( pred @ n4 )
= n3 )
& ( ( pred @ n3 )
= n2 )
& ( ( pred @ n2 )
= n1 )
& ( ( pred @ n1 )
= n0 )
& ( ( pred @ n0 )
= n15 )
& ( ( succ @ n15 )
= n0 )
& ( ( succ @ n14 )
= n15 )
& ( ( succ @ n13 )
= n14 )
& ( ( succ @ n12 )
= n13 )
& ( ( succ @ n11 )
= n12 )
& ( ( succ @ n10 )
= n11 )
& ( ( succ @ n9 )
= n10 )
& ( ( succ @ n8 )
= n9 )
& ( ( succ @ n7 )
= n8 )
& ( ( succ @ n6 )
= n7 )
& ( ( succ @ n5 )
= n6 )
& ( ( succ @ n4 )
= n5 )
& ( ( succ @ n3 )
= n4 )
& ( ( succ @ n2 )
= n3 )
& ( ( succ @ n1 )
= n2 )
& ( ( succ @ n0 )
= n1 ) ) ).
thf(zip_derived_cl247,plain,
( ( sum @ n12 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl305,plain,
( ( sk_ = n15 )
| ( sk_ = n14 )
| ( sk_ = n13 )
| ( sk_ = n12 )
| ( sk_ = n11 )
| ( sk_ = n10 )
| ( sk_ = n9 )
| ( sk_ = n8 )
| ( sk_ = n7 )
| ( sk_ = n6 )
| ( sk_ = n5 )
| ( sk_ = n4 )
| ( sk_ = n3 )
| ( sk_ = n2 )
| ( sk_ = n1 )
| ( sk_ = n0 ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl439,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl22,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl306,plain,
( ( sk__1 = n15 )
| ( sk__1 = n14 )
| ( sk__1 = n13 )
| ( sk__1 = n12 )
| ( sk__1 = n11 )
| ( sk__1 = n10 )
| ( sk__1 = n9 )
| ( sk__1 = n8 )
| ( sk__1 = n7 )
| ( sk__1 = n6 )
| ( sk__1 = n5 )
| ( sk__1 = n4 )
| ( sk__1 = n3 )
| ( sk__1 = n2 )
| ( sk__1 = n1 )
| ( sk__1 = n0 ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448,plain,
( ( sk__1 = n5 )
<= ( sk__1 = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl16,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_cl615,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_cl448,zip_derived_cl16]) ).
thf(zip_derived_cl1574,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl615]) ).
thf(zip_derived_cl1593,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_cl439,zip_derived_cl1574]) ).
thf(zip_derived_cl4302,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n5 @ ( pred @ ( sum @ n12 @ n5 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl247,zip_derived_cl1593]) ).
thf(zip_derived_cl35,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl246,plain,
( ( sum @ n12 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl129,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4304,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n12 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4302,zip_derived_cl35,zip_derived_cl246,zip_derived_cl34,zip_derived_cl129,zip_derived_cl70]) ).
thf(zip_derived_cl9,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('0',plain,
( ( sk__1 != n5 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4304,zip_derived_cl9]) ).
thf(zip_derived_cl440,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl458,plain,
( ( sk__1 = n15 )
<= ( sk__1 = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl16_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_cl785,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_cl458,zip_derived_cl16]) ).
thf(zip_derived_cl32,plain,
( ( succ @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2775,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl785,zip_derived_cl32]) ).
thf(zip_derived_cl2789,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n13 @ n15 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl440,zip_derived_cl2775]) ).
thf(zip_derived_cl257,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272,plain,
( ( sum @ n13 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl300,plain,
( ( sum @ n15 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl251,plain,
( ( sum @ n12 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5680,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n13 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2789,zip_derived_cl257,zip_derived_cl46,zip_derived_cl272,zip_derived_cl45,zip_derived_cl300,zip_derived_cl251]) ).
thf(zip_derived_cl9_002,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('1',plain,
( ( sk_ != n13 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5680,zip_derived_cl9]) ).
thf(zip_derived_cl440_003,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl457,plain,
( ( sk__1 = n14 )
<= ( sk__1 = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl16_004,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl761,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_cl457,zip_derived_cl16]) ).
thf(zip_derived_cl31,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2740,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl761,zip_derived_cl31]) ).
thf(zip_derived_cl2754,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_cl440,zip_derived_cl2740]) ).
thf(zip_derived_cl272_005,plain,
( ( sum @ n13 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_006,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl271,plain,
( ( sum @ n13 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl283,plain,
( ( sum @ n14 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl233,plain,
( ( sum @ n11 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5610,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n13 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2754,zip_derived_cl272,zip_derived_cl45,zip_derived_cl271,zip_derived_cl44,zip_derived_cl283,zip_derived_cl233]) ).
thf(zip_derived_cl12,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('2',plain,
( ( sk_ != n13 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5610,zip_derived_cl12]) ).
thf(zip_derived_cl440_007,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl456,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl16_008,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_cl745,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_cl456,zip_derived_cl16]) ).
thf(zip_derived_cl30,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2704,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl745,zip_derived_cl30]) ).
thf(zip_derived_cl2718,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_cl440,zip_derived_cl2704]) ).
thf(zip_derived_cl271_009,plain,
( ( sum @ n13 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_010,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270,plain,
( ( sum @ n13 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266,plain,
( ( sum @ n13 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl215,plain,
( ( sum @ n10 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5540,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n13 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2718,zip_derived_cl271,zip_derived_cl44,zip_derived_cl270,zip_derived_cl43,zip_derived_cl266,zip_derived_cl215]) ).
thf(zip_derived_cl15,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('3',plain,
( ( sk_ != n13 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5540,zip_derived_cl15]) ).
thf(zip_derived_cl440_011,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl455,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl16_012,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_cl730,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_cl455,zip_derived_cl16]) ).
thf(zip_derived_cl29,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2662,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl29]) ).
thf(zip_derived_cl2676,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_cl440,zip_derived_cl2662]) ).
thf(zip_derived_cl270_013,plain,
( ( sum @ n13 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_014,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl269,plain,
( ( sum @ n13 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl249,plain,
( ( sum @ n12 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl197,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5470,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n13 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2676,zip_derived_cl270,zip_derived_cl43,zip_derived_cl269,zip_derived_cl42,zip_derived_cl249,zip_derived_cl197]) ).
thf(zip_derived_cl2,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('4',plain,
( ( sk_ != n13 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5470,zip_derived_cl2]) ).
thf(zip_derived_cl440_015,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl454,plain,
( ( sk__1 = n11 )
<= ( sk__1 = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl16_016,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_cl716,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_cl454,zip_derived_cl16]) ).
thf(zip_derived_cl28,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2624,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl28]) ).
thf(zip_derived_cl2638,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_cl440,zip_derived_cl2624]) ).
thf(zip_derived_cl269_017,plain,
( ( sum @ n13 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_018,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268,plain,
( ( sum @ n13 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232,plain,
( ( sum @ n11 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl179,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5400,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n13 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2638,zip_derived_cl269,zip_derived_cl42,zip_derived_cl268,zip_derived_cl41,zip_derived_cl232,zip_derived_cl179]) ).
thf(zip_derived_cl5,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('5',plain,
( ( sk_ != n13 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5400,zip_derived_cl5]) ).
thf(zip_derived_cl440_019,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl453,plain,
( ( sk__1 = n10 )
<= ( sk__1 = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl16_020,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_cl698,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_cl453,zip_derived_cl16]) ).
thf(zip_derived_cl27,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2589,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl27]) ).
thf(zip_derived_cl2603,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_cl440,zip_derived_cl2589]) ).
thf(zip_derived_cl268_021,plain,
( ( sum @ n13 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_022,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl267,plain,
( ( sum @ n13 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl215_023,plain,
( ( sum @ n10 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl161,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5328,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n13 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2603,zip_derived_cl268,zip_derived_cl41,zip_derived_cl267,zip_derived_cl40,zip_derived_cl215,zip_derived_cl161]) ).
thf(zip_derived_cl8,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('6',plain,
( ( sk_ != n13 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5328,zip_derived_cl8]) ).
thf(zip_derived_cl440_024,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl452,plain,
( ( sk__1 = n9 )
<= ( sk__1 = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl16_025,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_cl686,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_cl452,zip_derived_cl16]) ).
thf(zip_derived_cl26,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2546,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl26]) ).
thf(zip_derived_cl2560,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_cl440,zip_derived_cl2546]) ).
thf(zip_derived_cl267_026,plain,
( ( sum @ n13 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_027,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_028,plain,
( ( sum @ n13 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl159,plain,
( ( sum @ n6 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5258,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n13 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2560,zip_derived_cl267,zip_derived_cl40,zip_derived_cl266,zip_derived_cl39,zip_derived_cl198,zip_derived_cl159]) ).
thf(zip_derived_cl11,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('7',plain,
( ( sk_ != n13 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5258,zip_derived_cl11]) ).
thf(zip_derived_cl440_029,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl451,plain,
( ( sk__1 = n8 )
<= ( sk__1 = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl16_030,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_cl675,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_cl451,zip_derived_cl16]) ).
thf(zip_derived_cl25,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2510,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl675,zip_derived_cl25]) ).
thf(zip_derived_cl2524,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_cl440,zip_derived_cl2510]) ).
thf(zip_derived_cl266_031,plain,
( ( sum @ n13 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_032,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl265,plain,
( ( sum @ n13 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl181,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141,plain,
( ( sum @ n5 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5188,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n13 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2524,zip_derived_cl266,zip_derived_cl39,zip_derived_cl265,zip_derived_cl38,zip_derived_cl181,zip_derived_cl141]) ).
thf(zip_derived_cl14,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('8',plain,
( ( sk_ != n13 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5188,zip_derived_cl14]) ).
thf(zip_derived_cl450,plain,
( ( sk__1 = n7 )
<= ( sk__1 = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl440_033,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl16_034,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_cl630,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n13 @ sk__1 ) ) ) ) )
<= ( sk_ = n13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl440,zip_derived_cl16]) ).
thf(zip_derived_cl2218,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ ( succ @ n7 ) ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n13 @ n7 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl450,zip_derived_cl630]) ).
thf(zip_derived_cl24,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2266,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n13 @ n7 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2218,zip_derived_cl24]) ).
thf(zip_derived_cl265_035,plain,
( ( sum @ n13 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_036,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264,plain,
( ( sum @ n13 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl123,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4940,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n13 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2266,zip_derived_cl265,zip_derived_cl38,zip_derived_cl264,zip_derived_cl37,zip_derived_cl164,zip_derived_cl123]) ).
thf(zip_derived_cl1,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('9',plain,
( ( sk_ != n13 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4940,zip_derived_cl1]) ).
thf(zip_derived_cl260,plain,
( ( sum @ n13 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_037,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl19,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl445,plain,
( ( sk__1 = n2 )
<= ( sk__1 = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl16_038,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_cl612,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_cl445,zip_derived_cl16]) ).
thf(zip_derived_cl914,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl612]) ).
thf(zip_derived_cl931,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_cl440,zip_derived_cl914]) ).
thf(zip_derived_cl4388,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n2 @ ( pred @ ( sum @ n13 @ n2 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl260,zip_derived_cl931]) ).
thf(zip_derived_cl33,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl259,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95,plain,
( ( sum @ n2 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4391,plain,
( ( sk__2
= ( sum @ n15 @ n0 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4388,zip_derived_cl33,zip_derived_cl259,zip_derived_cl48,zip_derived_cl95]) ).
thf(zip_derived_cl289,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4605,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n13 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4391,zip_derived_cl289]) ).
thf(zip_derived_cl0,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('10',plain,
( ( sk_ != n13 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4605,zip_derived_cl0]) ).
thf(zip_derived_cl259_039,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_040,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl444,plain,
( ( sk__1 = n1 )
<= ( sk__1 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl16_041,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_cl611,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_cl444,zip_derived_cl16]) ).
thf(zip_derived_cl18,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl836,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl611,zip_derived_cl18]) ).
thf(zip_derived_cl850,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_cl440,zip_derived_cl836]) ).
thf(zip_derived_cl4380,plain,
( ( sk__2
= ( sum @ ( pred @ n15 ) @ ( sum @ n1 @ ( pred @ ( sum @ n13 @ n1 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl259,zip_derived_cl850]) ).
thf(zip_derived_cl48_042,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4383,plain,
( ( sk__2
= ( sum @ n14 @ n14 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4380,zip_derived_cl48,zip_derived_cl258,zip_derived_cl47,zip_derived_cl78]) ).
thf(zip_derived_cl287,plain,
( ( sum @ n14 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4586,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n13 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4383,zip_derived_cl287]) ).
thf(zip_derived_cl3,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('11',plain,
( ( sk_ != n13 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4586,zip_derived_cl3]) ).
thf(zip_derived_cl440_043,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl23,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl449,plain,
( ( sk__1 = n6 )
<= ( sk__1 = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl16_044,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_cl616,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_cl449,zip_derived_cl16]) ).
thf(zip_derived_cl1827,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl616]) ).
thf(zip_derived_cl1841,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_cl440,zip_derived_cl1827]) ).
thf(zip_derived_cl264_045,plain,
( ( sum @ n13 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_046,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl263,plain,
( ( sum @ n13 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl105,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4576,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n13 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1841,zip_derived_cl264,zip_derived_cl37,zip_derived_cl263,zip_derived_cl36,zip_derived_cl147,zip_derived_cl105]) ).
thf(zip_derived_cl4,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('12',plain,
( ( sk__1 != n6 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4576,zip_derived_cl4]) ).
thf(zip_derived_cl258_047,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_048,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl443,plain,
( ( sk__1 = n0 )
<= ( sk__1 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl16_049,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_cl610,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_cl443,zip_derived_cl16]) ).
thf(zip_derived_cl17,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl803,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl610,zip_derived_cl17]) ).
thf(zip_derived_cl817,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_cl440,zip_derived_cl803]) ).
thf(zip_derived_cl4370,plain,
( ( sk__2
= ( sum @ ( pred @ n14 ) @ ( sum @ n0 @ ( pred @ ( sum @ n13 @ n0 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl258,zip_derived_cl817]) ).
thf(zip_derived_cl47_050,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl257_051,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_052,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4375,plain,
( ( sk__2
= ( sum @ n13 @ n12 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4370,zip_derived_cl47,zip_derived_cl257,zip_derived_cl46,zip_derived_cl61]) ).
thf(zip_derived_cl269_053,plain,
( ( sum @ n13 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4445,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n13 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4375,zip_derived_cl269]) ).
thf(zip_derived_cl6,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('13',plain,
( ( sk_ != n13 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4445,zip_derived_cl6]) ).
thf(zip_derived_cl263_054,plain,
( ( sum @ n13 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_055,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1574_056,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl615]) ).
thf(zip_derived_cl1594,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_cl440,zip_derived_cl1574]) ).
thf(zip_derived_cl4409,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n5 @ ( pred @ ( sum @ n13 @ n5 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl263,zip_derived_cl1594]) ).
thf(zip_derived_cl36_057,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262,plain,
( ( sum @ n13 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_058,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4411,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n13 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4409,zip_derived_cl36,zip_derived_cl262,zip_derived_cl35,zip_derived_cl130,zip_derived_cl87]) ).
thf(zip_derived_cl7,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('14',plain,
( ( sk__1 != n5 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4411,zip_derived_cl7]) ).
thf(zip_derived_cl262_059,plain,
( ( sum @ n13 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_060,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl21,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl447,plain,
( ( sk__1 = n4 )
<= ( sk__1 = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl16_061,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_cl614,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_cl447,zip_derived_cl16]) ).
thf(zip_derived_cl1318,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl614]) ).
thf(zip_derived_cl1341,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_cl440,zip_derived_cl1318]) ).
thf(zip_derived_cl4402,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n4 @ ( pred @ ( sum @ n13 @ n4 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl262,zip_derived_cl1341]) ).
thf(zip_derived_cl35_062,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl261,plain,
( ( sum @ n13 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_063,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4404,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n13 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4402,zip_derived_cl35,zip_derived_cl261,zip_derived_cl34,zip_derived_cl113,zip_derived_cl69]) ).
thf(zip_derived_cl10,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('15',plain,
( ( sk_ != n13 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4404,zip_derived_cl10]) ).
thf(zip_derived_cl261_064,plain,
( ( sum @ n13 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_065,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl20,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl446,plain,
( ( sk__1 = n3 )
<= ( sk__1 = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl16_066,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_cl613,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_cl446,zip_derived_cl16]) ).
thf(zip_derived_cl1108,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl613]) ).
thf(zip_derived_cl1128,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_cl440,zip_derived_cl1108]) ).
thf(zip_derived_cl4394,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n3 @ ( pred @ ( sum @ n13 @ n3 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl261,zip_derived_cl1128]) ).
thf(zip_derived_cl34_067,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl260_068,plain,
( ( sum @ n13 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_069,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112,plain,
( ( sum @ n3 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4396,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n13 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4394,zip_derived_cl34,zip_derived_cl260,zip_derived_cl33,zip_derived_cl112,zip_derived_cl51]) ).
thf(zip_derived_cl13,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('16',plain,
( ( sk_ != n13 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4396,zip_derived_cl13]) ).
thf(zip_derived_cl275,plain,
( ( sum @ n14 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl441,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl836_070,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl611,zip_derived_cl18]) ).
thf(zip_derived_cl851,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_cl441,zip_derived_cl836]) ).
thf(zip_derived_cl4498,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n1 @ ( pred @ ( sum @ n14 @ n1 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl275,zip_derived_cl851]) ).
thf(zip_derived_cl33_071,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl274,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_072,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4502,plain,
( ( sk__2
= ( sum @ n15 @ n15 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4498,zip_derived_cl33,zip_derived_cl274,zip_derived_cl48,zip_derived_cl79]) ).
thf(zip_derived_cl304,plain,
( ( sum @ n15 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4728,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n14 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4502,zip_derived_cl304]) ).
thf(zip_derived_cl1_073,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('17',plain,
( ( sk__1 != n1 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4728,zip_derived_cl1]) ).
thf(zip_derived_cl291,plain,
( ( sum @ n15 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl836_074,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl611,zip_derived_cl18]) ).
thf(zip_derived_cl852,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_cl442,zip_derived_cl836]) ).
thf(zip_derived_cl4622,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n1 @ ( pred @ ( sum @ n15 @ n1 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl291,zip_derived_cl852]) ).
thf(zip_derived_cl34_075,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290,plain,
( ( sum @ n15 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_076,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80,plain,
( ( sum @ n1 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4626,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n15 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4622,zip_derived_cl34,zip_derived_cl290,zip_derived_cl33,zip_derived_cl80,zip_derived_cl49]) ).
thf(zip_derived_cl15_077,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('18',plain,
( ( sk__1 != n1 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4626,zip_derived_cl15]) ).
thf(zip_derived_cl243,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl439_078,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl836_079,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl611,zip_derived_cl18]) ).
thf(zip_derived_cl849,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_cl439,zip_derived_cl836]) ).
thf(zip_derived_cl4273,plain,
( ( sk__2
= ( sum @ ( pred @ n14 ) @ ( sum @ n1 @ ( pred @ ( sum @ n12 @ n1 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl849]) ).
thf(zip_derived_cl47_080,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_081,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4276,plain,
( ( sk__2
= ( sum @ n13 @ n13 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4273,zip_derived_cl47,zip_derived_cl242,zip_derived_cl46,zip_derived_cl77]) ).
thf(zip_derived_cl270_082,plain,
( ( sum @ n13 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4453,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n12 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4276,zip_derived_cl270]) ).
thf(zip_derived_cl5_083,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('19',plain,
( ( sk__1 != n1 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4453,zip_derived_cl5]) ).
thf(zip_derived_cl227,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl836_084,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl611,zip_derived_cl18]) ).
thf(zip_derived_cl848,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_cl438,zip_derived_cl836]) ).
thf(zip_derived_cl4179,plain,
( ( sk__2
= ( sum @ ( pred @ n13 ) @ ( sum @ n1 @ ( pred @ ( sum @ n11 @ n1 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl227,zip_derived_cl848]) ).
thf(zip_derived_cl46_085,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_086,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4181,plain,
( ( sk__2
= ( sum @ n12 @ n12 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4179,zip_derived_cl46,zip_derived_cl226,zip_derived_cl45,zip_derived_cl76]) ).
thf(zip_derived_cl253,plain,
( ( sum @ n12 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4329,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n11 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4181,zip_derived_cl253]) ).
thf(zip_derived_cl7_087,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('20',plain,
( ( sk__1 != n1 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4329,zip_derived_cl7]) ).
thf(zip_derived_cl211,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl437,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl836_088,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl611,zip_derived_cl18]) ).
thf(zip_derived_cl847,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_cl437,zip_derived_cl836]) ).
thf(zip_derived_cl4078,plain,
( ( sk__2
= ( sum @ ( pred @ n12 ) @ ( sum @ n1 @ ( pred @ ( sum @ n10 @ n1 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl211,zip_derived_cl847]) ).
thf(zip_derived_cl45_089,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_090,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4080,plain,
( ( sk__2
= ( sum @ n11 @ n11 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4078,zip_derived_cl45,zip_derived_cl210,zip_derived_cl44,zip_derived_cl75]) ).
thf(zip_derived_cl236,plain,
( ( sum @ n11 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4231,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n10 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4080,zip_derived_cl236]) ).
thf(zip_derived_cl9_091,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('21',plain,
( ( sk__1 != n1 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4231,zip_derived_cl9]) ).
thf(zip_derived_cl195,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl836_092,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl611,zip_derived_cl18]) ).
thf(zip_derived_cl846,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_cl436,zip_derived_cl836]) ).
thf(zip_derived_cl4010,plain,
( ( sk__2
= ( sum @ ( pred @ n11 ) @ ( sum @ n1 @ ( pred @ ( sum @ n9 @ n1 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl195,zip_derived_cl846]) ).
thf(zip_derived_cl44_093,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_094,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4012,plain,
( ( sk__2
= ( sum @ n10 @ n10 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4010,zip_derived_cl44,zip_derived_cl194,zip_derived_cl43,zip_derived_cl74]) ).
thf(zip_derived_cl219,plain,
( ( sum @ n10 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4121,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n9 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4012,zip_derived_cl219]) ).
thf(zip_derived_cl11_095,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('22',plain,
( ( sk__1 != n1 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4121,zip_derived_cl11]) ).
thf(zip_derived_cl179_096,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl435,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl836_097,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl611,zip_derived_cl18]) ).
thf(zip_derived_cl845,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_cl435,zip_derived_cl836]) ).
thf(zip_derived_cl3929,plain,
( ( sk__2
= ( sum @ ( pred @ n10 ) @ ( sum @ n1 @ ( pred @ ( sum @ n8 @ n1 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl179,zip_derived_cl845]) ).
thf(zip_derived_cl43_098,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_099,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3932,plain,
( ( sk__2
= ( sum @ n9 @ n9 ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3929,zip_derived_cl43,zip_derived_cl178,zip_derived_cl42,zip_derived_cl73]) ).
thf(zip_derived_cl202,plain,
( ( sum @ n9 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4042,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n8 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3932,zip_derived_cl202]) ).
thf(zip_derived_cl13_100,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('23',plain,
( ( sk__1 != n1 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4042,zip_derived_cl13]) ).
thf(zip_derived_cl163,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl836_101,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl611,zip_derived_cl18]) ).
thf(zip_derived_cl844,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_cl434,zip_derived_cl836]) ).
thf(zip_derived_cl3868,plain,
( ( sk__2
= ( sum @ ( pred @ n9 ) @ ( sum @ n1 @ ( pred @ ( sum @ n7 @ n1 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl163,zip_derived_cl844]) ).
thf(zip_derived_cl42_102,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_103,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3871,plain,
( ( sk__2
= ( sum @ n8 @ n8 ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3868,zip_derived_cl42,zip_derived_cl162,zip_derived_cl41,zip_derived_cl72]) ).
thf(zip_derived_cl185,plain,
( ( sum @ n8 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3948,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n7 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3871,zip_derived_cl185]) ).
thf(zip_derived_cl15_104,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('24',plain,
( ( sk__1 != n1 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3948,zip_derived_cl15]) ).
thf(zip_derived_cl147_105,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl433,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl836_106,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl611,zip_derived_cl18]) ).
thf(zip_derived_cl843,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_cl433,zip_derived_cl836]) ).
thf(zip_derived_cl3829,plain,
( ( sk__2
= ( sum @ ( pred @ n8 ) @ ( sum @ n1 @ ( pred @ ( sum @ n6 @ n1 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl147,zip_derived_cl843]) ).
thf(zip_derived_cl41_107,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl146,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_108,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3830,plain,
( ( sk__2
= ( sum @ n7 @ n7 ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3829,zip_derived_cl41,zip_derived_cl146,zip_derived_cl40,zip_derived_cl71]) ).
thf(zip_derived_cl168,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3893,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n6 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3830,zip_derived_cl168]) ).
thf(zip_derived_cl1_109,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('25',plain,
( ( sk__1 != n1 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3893,zip_derived_cl1]) ).
thf(zip_derived_cl432,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl836_110,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl611,zip_derived_cl18]) ).
thf(zip_derived_cl842,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_cl432,zip_derived_cl836]) ).
thf(zip_derived_cl131,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_111,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_112,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_113,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_114,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3820,plain,
( ( sk__2
= ( sum @ n6 @ n6 ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl842,zip_derived_cl131,zip_derived_cl40,zip_derived_cl130,zip_derived_cl39,zip_derived_cl70]) ).
thf(zip_derived_cl151,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3842,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n5 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3820,zip_derived_cl151]) ).
thf(zip_derived_cl3_115,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('26',plain,
( ( sk__1 != n1 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3842,zip_derived_cl3]) ).
thf(zip_derived_cl431,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl836_116,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl611,zip_derived_cl18]) ).
thf(zip_derived_cl841,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_cl431,zip_derived_cl836]) ).
thf(zip_derived_cl115,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_117,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_118,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_119,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3818,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n4 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl841,zip_derived_cl115,zip_derived_cl39,zip_derived_cl114,zip_derived_cl38,zip_derived_cl69,zip_derived_cl134]) ).
thf(zip_derived_cl5_120,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('27',plain,
( ( sk__1 != n1 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3818,zip_derived_cl5]) ).
thf(zip_derived_cl430,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl836_121,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl611,zip_derived_cl18]) ).
thf(zip_derived_cl840,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_cl430,zip_derived_cl836]) ).
thf(zip_derived_cl99,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_122,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_123,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3816,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n3 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl840,zip_derived_cl99,zip_derived_cl38,zip_derived_cl98,zip_derived_cl37,zip_derived_cl68,zip_derived_cl117]) ).
thf(zip_derived_cl7_124,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('28',plain,
( ( sk__1 != n1 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3816,zip_derived_cl7]) ).
thf(zip_derived_cl429,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl836_125,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl611,zip_derived_cl18]) ).
thf(zip_derived_cl839,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_cl429,zip_derived_cl836]) ).
thf(zip_derived_cl83,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_126,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_127,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3814,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n2 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl839,zip_derived_cl83,zip_derived_cl37,zip_derived_cl82,zip_derived_cl36,zip_derived_cl67,zip_derived_cl100]) ).
thf(zip_derived_cl9_128,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('29',plain,
( ( sk__1 != n1 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3814,zip_derived_cl9]) ).
thf(zip_derived_cl428,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl836_129,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl611,zip_derived_cl18]) ).
thf(zip_derived_cl838,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_cl428,zip_derived_cl836]) ).
thf(zip_derived_cl67_130,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_131,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_132,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_133,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_134,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3812,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n1 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl838,zip_derived_cl67,zip_derived_cl36,zip_derived_cl66,zip_derived_cl35,zip_derived_cl66,zip_derived_cl83]) ).
thf(zip_derived_cl11_135,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('30',plain,
( ( sk__1 != n1 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3812,zip_derived_cl11]) ).
thf(zip_derived_cl427,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl836_136,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl611,zip_derived_cl18]) ).
thf(zip_derived_cl837,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_cl427,zip_derived_cl836]) ).
thf(zip_derived_cl51_137,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_138,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_139,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_140,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3810,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n0 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl837,zip_derived_cl51,zip_derived_cl35,zip_derived_cl50,zip_derived_cl34,zip_derived_cl65,zip_derived_cl66]) ).
thf(zip_derived_cl13_141,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('31',plain,
( ( sk__1 != n1 )
| ( sk_ != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3810,zip_derived_cl13]) ).
thf(zip_derived_cl442_142,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2775_143,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl785,zip_derived_cl32]) ).
thf(zip_derived_cl2791,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n15 @ n15 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl442,zip_derived_cl2775]) ).
thf(zip_derived_cl289_144,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_145,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl304_146,plain,
( ( sum @ n15 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_147,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl302,plain,
( ( sum @ n15 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl285,plain,
( ( sum @ n14 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5686,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n15 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2791,zip_derived_cl289,zip_derived_cl48,zip_derived_cl304,zip_derived_cl47,zip_derived_cl302,zip_derived_cl285]) ).
thf(zip_derived_cl5_148,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('32',plain,
( ( sk_ != n15 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5686,zip_derived_cl5]) ).
thf(zip_derived_cl442_149,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2740_150,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl761,zip_derived_cl31]) ).
thf(zip_derived_cl2756,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_cl442,zip_derived_cl2740]) ).
thf(zip_derived_cl304_151,plain,
( ( sum @ n15 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_152,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl303,plain,
( ( sum @ n15 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_153,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl285_154,plain,
( ( sum @ n14 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl267_155,plain,
( ( sum @ n13 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5614,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n15 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2756,zip_derived_cl304,zip_derived_cl47,zip_derived_cl303,zip_derived_cl46,zip_derived_cl285,zip_derived_cl267]) ).
thf(zip_derived_cl8_156,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('33',plain,
( ( sk_ != n15 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5614,zip_derived_cl8]) ).
thf(zip_derived_cl442_157,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2704_158,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl745,zip_derived_cl30]) ).
thf(zip_derived_cl2720,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_cl442,zip_derived_cl2704]) ).
thf(zip_derived_cl303_159,plain,
( ( sum @ n15 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_160,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl302_161,plain,
( ( sum @ n15 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_162,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268_163,plain,
( ( sum @ n13 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl249_164,plain,
( ( sum @ n12 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5544,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n15 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2720,zip_derived_cl303,zip_derived_cl46,zip_derived_cl302,zip_derived_cl45,zip_derived_cl268,zip_derived_cl249]) ).
thf(zip_derived_cl11_165,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('34',plain,
( ( sk_ != n15 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5544,zip_derived_cl11]) ).
thf(zip_derived_cl442_166,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2662_167,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl29]) ).
thf(zip_derived_cl2678,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_cl442,zip_derived_cl2662]) ).
thf(zip_derived_cl302_168,plain,
( ( sum @ n15 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_169,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl301,plain,
( ( sum @ n15 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_170,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl251_171,plain,
( ( sum @ n12 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl231,plain,
( ( sum @ n11 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5474,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n15 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2678,zip_derived_cl302,zip_derived_cl45,zip_derived_cl301,zip_derived_cl44,zip_derived_cl251,zip_derived_cl231]) ).
thf(zip_derived_cl14_172,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('35',plain,
( ( sk_ != n15 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5474,zip_derived_cl14]) ).
thf(zip_derived_cl442_173,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2624_174,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl28]) ).
thf(zip_derived_cl2640,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_cl442,zip_derived_cl2624]) ).
thf(zip_derived_cl301_175,plain,
( ( sum @ n15 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_176,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl300_177,plain,
( ( sum @ n15 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_178,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234,plain,
( ( sum @ n11 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl213,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5404,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n15 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2640,zip_derived_cl301,zip_derived_cl44,zip_derived_cl300,zip_derived_cl43,zip_derived_cl234,zip_derived_cl213]) ).
thf(zip_derived_cl1_179,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('36',plain,
( ( sk_ != n15 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5404,zip_derived_cl1]) ).
thf(zip_derived_cl442_180,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2589_181,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl27]) ).
thf(zip_derived_cl2605,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_cl442,zip_derived_cl2589]) ).
thf(zip_derived_cl300_182,plain,
( ( sum @ n15 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_183,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299,plain,
( ( sum @ n15 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_184,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl217,plain,
( ( sum @ n10 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl195_185,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5334,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n15 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2605,zip_derived_cl300,zip_derived_cl43,zip_derived_cl299,zip_derived_cl42,zip_derived_cl217,zip_derived_cl195]) ).
thf(zip_derived_cl4_186,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('37',plain,
( ( sk_ != n15 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5334,zip_derived_cl4]) ).
thf(zip_derived_cl442_187,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2546_188,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl26]) ).
thf(zip_derived_cl2562,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_cl442,zip_derived_cl2546]) ).
thf(zip_derived_cl299_189,plain,
( ( sum @ n15 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_190,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl298,plain,
( ( sum @ n15 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_191,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200,plain,
( ( sum @ n9 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl177,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5262,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n15 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2562,zip_derived_cl299,zip_derived_cl42,zip_derived_cl298,zip_derived_cl41,zip_derived_cl200,zip_derived_cl177]) ).
thf(zip_derived_cl7_192,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('38',plain,
( ( sk_ != n15 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5262,zip_derived_cl7]) ).
thf(zip_derived_cl451_193,plain,
( ( sk__1 = n8 )
<= ( sk__1 = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl442_194,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl16_195,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_cl632,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n15 @ sk__1 ) ) ) ) )
<= ( sk_ = n15 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl442,zip_derived_cl16]) ).
thf(zip_derived_cl2363,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ ( succ @ n8 ) ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n15 @ n8 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl451,zip_derived_cl632]) ).
thf(zip_derived_cl25_196,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2411,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n15 @ n8 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2363,zip_derived_cl25]) ).
thf(zip_derived_cl298_197,plain,
( ( sum @ n15 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_198,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297,plain,
( ( sum @ n15 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_199,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl183,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl175,plain,
( ( sum @ n7 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5048,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n15 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2411,zip_derived_cl298,zip_derived_cl41,zip_derived_cl297,zip_derived_cl40,zip_derived_cl183,zip_derived_cl175]) ).
thf(zip_derived_cl10_200,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('39',plain,
( ( sk_ != n15 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5048,zip_derived_cl10]) ).
thf(zip_derived_cl450_201,plain,
( ( sk__1 = n7 )
<= ( sk__1 = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl632_202,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n15 @ sk__1 ) ) ) ) )
<= ( sk_ = n15 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl442,zip_derived_cl16]) ).
thf(zip_derived_cl2362,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ ( succ @ n7 ) ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n15 @ n7 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl450,zip_derived_cl632]) ).
thf(zip_derived_cl24_203,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2410,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n15 @ n7 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2362,zip_derived_cl24]) ).
thf(zip_derived_cl297_204,plain,
( ( sum @ n15 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_205,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl296,plain,
( ( sum @ n15 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_206,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl157,plain,
( ( sum @ n6 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5046,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n15 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2410,zip_derived_cl297,zip_derived_cl40,zip_derived_cl296,zip_derived_cl39,zip_derived_cl166,zip_derived_cl157]) ).
thf(zip_derived_cl13_207,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('40',plain,
( ( sk_ != n15 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5046,zip_derived_cl13]) ).
thf(zip_derived_cl290_208,plain,
( ( sum @ n15 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442_209,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl803_210,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl610,zip_derived_cl17]) ).
thf(zip_derived_cl819,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_cl442,zip_derived_cl803]) ).
thf(zip_derived_cl4614,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n0 @ ( pred @ ( sum @ n15 @ n0 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl290,zip_derived_cl819]) ).
thf(zip_derived_cl33_211,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl289_212,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_213,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4619,plain,
( ( sk__2
= ( sum @ n15 @ n14 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4614,zip_derived_cl33,zip_derived_cl289,zip_derived_cl48,zip_derived_cl63]) ).
thf(zip_derived_cl303_214,plain,
( ( sum @ n15 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4718,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n15 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4619,zip_derived_cl303]) ).
thf(zip_derived_cl2_215,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('41',plain,
( ( sk_ != n15 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4718,zip_derived_cl2]) ).
thf(zip_derived_cl296_216,plain,
( ( sum @ n15 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442_217,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1827_218,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl616]) ).
thf(zip_derived_cl1843,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_cl442,zip_derived_cl1827]) ).
thf(zip_derived_cl4676,plain,
( ( sk__2
= ( sum @ ( pred @ n6 ) @ ( sum @ n6 @ ( pred @ ( sum @ n15 @ n6 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl296,zip_derived_cl1843]) ).
thf(zip_derived_cl39_219,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl295,plain,
( ( sum @ n15 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_220,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4678,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n15 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4676,zip_derived_cl39,zip_derived_cl295,zip_derived_cl38,zip_derived_cl149,zip_derived_cl139]) ).
thf(zip_derived_cl0_221,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('42',plain,
( ( sk__1 != n6 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4678,zip_derived_cl0]) ).
thf(zip_derived_cl295_222,plain,
( ( sum @ n15 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442_223,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1574_224,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl615]) ).
thf(zip_derived_cl1596,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_cl442,zip_derived_cl1574]) ).
thf(zip_derived_cl4665,plain,
( ( sk__2
= ( sum @ ( pred @ n5 ) @ ( sum @ n5 @ ( pred @ ( sum @ n15 @ n5 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl295,zip_derived_cl1596]) ).
thf(zip_derived_cl38_225,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl294,plain,
( ( sum @ n15 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_226,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4668,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n15 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4665,zip_derived_cl38,zip_derived_cl294,zip_derived_cl37,zip_derived_cl132,zip_derived_cl121]) ).
thf(zip_derived_cl3_227,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('43',plain,
( ( sk__1 != n5 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4668,zip_derived_cl3]) ).
thf(zip_derived_cl294_228,plain,
( ( sum @ n15 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442_229,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1318_230,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl614]) ).
thf(zip_derived_cl1343,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_cl442,zip_derived_cl1318]) ).
thf(zip_derived_cl4655,plain,
( ( sk__2
= ( sum @ ( pred @ n4 ) @ ( sum @ n4 @ ( pred @ ( sum @ n15 @ n4 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl294,zip_derived_cl1343]) ).
thf(zip_derived_cl37_231,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl293,plain,
( ( sum @ n15 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_232,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115_233,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4658,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n15 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4655,zip_derived_cl37,zip_derived_cl293,zip_derived_cl36,zip_derived_cl115,zip_derived_cl103]) ).
thf(zip_derived_cl6_234,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('44',plain,
( ( sk_ != n15 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4658,zip_derived_cl6]) ).
thf(zip_derived_cl293_235,plain,
( ( sum @ n15 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442_236,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1108_237,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl613]) ).
thf(zip_derived_cl1130,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_cl442,zip_derived_cl1108]) ).
thf(zip_derived_cl4644,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n3 @ ( pred @ ( sum @ n15 @ n3 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl293,zip_derived_cl1130]) ).
thf(zip_derived_cl36_238,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl292,plain,
( ( sum @ n15 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_239,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_240,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4648,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n15 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4644,zip_derived_cl36,zip_derived_cl292,zip_derived_cl35,zip_derived_cl98,zip_derived_cl85]) ).
thf(zip_derived_cl9_241,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('45',plain,
( ( sk_ != n15 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4648,zip_derived_cl9]) ).
thf(zip_derived_cl292_242,plain,
( ( sum @ n15 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442_243,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl914_244,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl612]) ).
thf(zip_derived_cl933,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_cl442,zip_derived_cl914]) ).
thf(zip_derived_cl4634,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n2 @ ( pred @ ( sum @ n15 @ n2 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl292,zip_derived_cl933]) ).
thf(zip_derived_cl35_245,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl291_246,plain,
( ( sum @ n15 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_247,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_248,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4639,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n15 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4634,zip_derived_cl35,zip_derived_cl291,zip_derived_cl34,zip_derived_cl81,zip_derived_cl67]) ).
thf(zip_derived_cl12_249,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('46',plain,
( ( sk_ != n15 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4639,zip_derived_cl12]) ).
thf(zip_derived_cl274_250,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl441_251,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl803_252,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl610,zip_derived_cl17]) ).
thf(zip_derived_cl818,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_cl441,zip_derived_cl803]) ).
thf(zip_derived_cl4490,plain,
( ( sk__2
= ( sum @ ( pred @ n15 ) @ ( sum @ n0 @ ( pred @ ( sum @ n14 @ n0 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl274,zip_derived_cl818]) ).
thf(zip_derived_cl48_253,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl273,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_254,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4495,plain,
( ( sk__2
= ( sum @ n14 @ n13 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4490,zip_derived_cl48,zip_derived_cl273,zip_derived_cl47,zip_derived_cl62]) ).
thf(zip_derived_cl286,plain,
( ( sum @ n14 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4580,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n14 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4495,zip_derived_cl286]) ).
thf(zip_derived_cl4_255,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('47',plain,
( ( sk__1 != n0 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4580,zip_derived_cl4]) ).
thf(zip_derived_cl242_256,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl439_257,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl803_258,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl610,zip_derived_cl17]) ).
thf(zip_derived_cl816,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_cl439,zip_derived_cl803]) ).
thf(zip_derived_cl4267,plain,
( ( sk__2
= ( sum @ ( pred @ n13 ) @ ( sum @ n0 @ ( pred @ ( sum @ n12 @ n0 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl242,zip_derived_cl816]) ).
thf(zip_derived_cl46_259,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl241,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_260,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4270,plain,
( ( sk__2
= ( sum @ n12 @ n11 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4267,zip_derived_cl46,zip_derived_cl241,zip_derived_cl45,zip_derived_cl60]) ).
thf(zip_derived_cl252,plain,
( ( sum @ n12 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4325,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n12 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4270,zip_derived_cl252]) ).
thf(zip_derived_cl8_261,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('48',plain,
( ( sk__1 != n0 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4325,zip_derived_cl8]) ).
thf(zip_derived_cl226_262,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438_263,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl803_264,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl610,zip_derived_cl17]) ).
thf(zip_derived_cl815,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_cl438,zip_derived_cl803]) ).
thf(zip_derived_cl4173,plain,
( ( sk__2
= ( sum @ ( pred @ n12 ) @ ( sum @ n0 @ ( pred @ ( sum @ n11 @ n0 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl226,zip_derived_cl815]) ).
thf(zip_derived_cl45_265,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl225,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_266,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4176,plain,
( ( sk__2
= ( sum @ n11 @ n10 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4173,zip_derived_cl45,zip_derived_cl225,zip_derived_cl44,zip_derived_cl59]) ).
thf(zip_derived_cl235,plain,
( ( sum @ n11 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4221,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n11 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4176,zip_derived_cl235]) ).
thf(zip_derived_cl10_267,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('49',plain,
( ( sk__1 != n0 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4221,zip_derived_cl10]) ).
thf(zip_derived_cl210_268,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl437_269,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl803_270,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl610,zip_derived_cl17]) ).
thf(zip_derived_cl814,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_cl437,zip_derived_cl803]) ).
thf(zip_derived_cl4072,plain,
( ( sk__2
= ( sum @ ( pred @ n11 ) @ ( sum @ n0 @ ( pred @ ( sum @ n10 @ n0 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl210,zip_derived_cl814]) ).
thf(zip_derived_cl44_271,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl209,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_272,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4075,plain,
( ( sk__2
= ( sum @ n10 @ n9 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4072,zip_derived_cl44,zip_derived_cl209,zip_derived_cl43,zip_derived_cl58]) ).
thf(zip_derived_cl218,plain,
( ( sum @ n10 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4113,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n10 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4075,zip_derived_cl218]) ).
thf(zip_derived_cl12_273,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('50',plain,
( ( sk__1 != n0 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4113,zip_derived_cl12]) ).
thf(zip_derived_cl194_274,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436_275,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl803_276,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl610,zip_derived_cl17]) ).
thf(zip_derived_cl813,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_cl436,zip_derived_cl803]) ).
thf(zip_derived_cl4004,plain,
( ( sk__2
= ( sum @ ( pred @ n10 ) @ ( sum @ n0 @ ( pred @ ( sum @ n9 @ n0 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl194,zip_derived_cl813]) ).
thf(zip_derived_cl43_277,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl193,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_278,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4007,plain,
( ( sk__2
= ( sum @ n9 @ n8 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4004,zip_derived_cl43,zip_derived_cl193,zip_derived_cl42,zip_derived_cl57]) ).
thf(zip_derived_cl201,plain,
( ( sum @ n9 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4036,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n9 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4007,zip_derived_cl201]) ).
thf(zip_derived_cl14_279,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('51',plain,
( ( sk__1 != n0 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4036,zip_derived_cl14]) ).
thf(zip_derived_cl178_280,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl435_281,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl803_282,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl610,zip_derived_cl17]) ).
thf(zip_derived_cl812,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_cl435,zip_derived_cl803]) ).
thf(zip_derived_cl3923,plain,
( ( sk__2
= ( sum @ ( pred @ n9 ) @ ( sum @ n0 @ ( pred @ ( sum @ n8 @ n0 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl178,zip_derived_cl812]) ).
thf(zip_derived_cl42_283,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl177_284,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_285,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3925,plain,
( ( sk__2
= ( sum @ n8 @ n7 ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3923,zip_derived_cl42,zip_derived_cl177,zip_derived_cl41,zip_derived_cl56]) ).
thf(zip_derived_cl184,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3946,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n8 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3925,zip_derived_cl184]) ).
thf(zip_derived_cl0_286,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('52',plain,
( ( sk__1 != n0 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3946,zip_derived_cl0]) ).
thf(zip_derived_cl162_287,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_288,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl803_289,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl610,zip_derived_cl17]) ).
thf(zip_derived_cl811,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_cl434,zip_derived_cl803]) ).
thf(zip_derived_cl3863,plain,
( ( sk__2
= ( sum @ ( pred @ n8 ) @ ( sum @ n0 @ ( pred @ ( sum @ n7 @ n0 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl162,zip_derived_cl811]) ).
thf(zip_derived_cl41_290,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl161_291,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_292,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3865,plain,
( ( sk__2
= ( sum @ n7 @ n6 ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3863,zip_derived_cl41,zip_derived_cl161,zip_derived_cl40,zip_derived_cl55]) ).
thf(zip_derived_cl167,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3890,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n7 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3865,zip_derived_cl167]) ).
thf(zip_derived_cl2_293,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('53',plain,
( ( sk__1 != n0 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3890,zip_derived_cl2]) ).
thf(zip_derived_cl146_294,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl433_295,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl803_296,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl610,zip_derived_cl17]) ).
thf(zip_derived_cl810,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_cl433,zip_derived_cl803]) ).
thf(zip_derived_cl3823,plain,
( ( sk__2
= ( sum @ ( pred @ n7 ) @ ( sum @ n0 @ ( pred @ ( sum @ n6 @ n0 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl146,zip_derived_cl810]) ).
thf(zip_derived_cl40_297,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_298,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3826,plain,
( ( sk__2
= ( sum @ n6 @ n5 ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3823,zip_derived_cl40,zip_derived_cl145,zip_derived_cl39,zip_derived_cl54]) ).
thf(zip_derived_cl150,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3834,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n6 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3826,zip_derived_cl150]) ).
thf(zip_derived_cl4_299,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('54',plain,
( ( sk__1 != n0 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3834,zip_derived_cl4]) ).
thf(zip_derived_cl432_300,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl803_301,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl610,zip_derived_cl17]) ).
thf(zip_derived_cl809,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_cl432,zip_derived_cl803]) ).
thf(zip_derived_cl130_302,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_303,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl129_304,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_305,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3795,plain,
( ( sk__2
= ( sum @ n5 @ n4 ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl809,zip_derived_cl130,zip_derived_cl39,zip_derived_cl129,zip_derived_cl38,zip_derived_cl53]) ).
thf(zip_derived_cl133,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3796,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n5 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3795,zip_derived_cl133]) ).
thf(zip_derived_cl6_306,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('55',plain,
( ( sk__1 != n0 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3796,zip_derived_cl6]) ).
thf(zip_derived_cl431_307,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl803_308,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl610,zip_derived_cl17]) ).
thf(zip_derived_cl808,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_cl431,zip_derived_cl803]) ).
thf(zip_derived_cl114_309,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_310,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113_311,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_312,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3793,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n4 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl808,zip_derived_cl114,zip_derived_cl38,zip_derived_cl113,zip_derived_cl37,zip_derived_cl52,zip_derived_cl116]) ).
thf(zip_derived_cl8_313,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('56',plain,
( ( sk__1 != n0 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3793,zip_derived_cl8]) ).
thf(zip_derived_cl430_314,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl803_315,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl610,zip_derived_cl17]) ).
thf(zip_derived_cl807,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_cl430,zip_derived_cl803]) ).
thf(zip_derived_cl98_316,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_317,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_318,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_319,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99_320,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3791,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n3 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl807,zip_derived_cl98,zip_derived_cl37,zip_derived_cl97,zip_derived_cl36,zip_derived_cl51,zip_derived_cl99]) ).
thf(zip_derived_cl10_321,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('57',plain,
( ( sk__1 != n0 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3791,zip_derived_cl10]) ).
thf(zip_derived_cl429_322,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl803_323,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl610,zip_derived_cl17]) ).
thf(zip_derived_cl806,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_cl429,zip_derived_cl803]) ).
thf(zip_derived_cl82_324,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_325,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_326,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_327,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_328,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_329,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3789,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n2 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl806,zip_derived_cl82,zip_derived_cl36,zip_derived_cl81,zip_derived_cl35,zip_derived_cl50,zip_derived_cl82]) ).
thf(zip_derived_cl12_330,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('58',plain,
( ( sk__1 != n0 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3789,zip_derived_cl12]) ).
thf(zip_derived_cl428_331,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl803_332,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl610,zip_derived_cl17]) ).
thf(zip_derived_cl805,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_cl428,zip_derived_cl803]) ).
thf(zip_derived_cl66_333,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_334,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_335,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_336,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_337,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_338,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3787,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n1 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl805,zip_derived_cl66,zip_derived_cl35,zip_derived_cl65,zip_derived_cl34,zip_derived_cl49,zip_derived_cl65]) ).
thf(zip_derived_cl14_339,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('59',plain,
( ( sk__1 != n0 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3787,zip_derived_cl14]) ).
thf(zip_derived_cl427_340,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl803_341,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl610,zip_derived_cl17]) ).
thf(zip_derived_cl804,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_cl427,zip_derived_cl803]) ).
thf(zip_derived_cl50_342,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_343,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_344,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_345,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_346,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3785,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n0 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl804,zip_derived_cl50,zip_derived_cl34,zip_derived_cl49,zip_derived_cl33,zip_derived_cl64,zip_derived_cl64]) ).
thf(zip_derived_cl0_347,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('60',plain,
( ( sk__1 != n0 )
| ( sk_ != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3785,zip_derived_cl0]) ).
thf(zip_derived_cl427_348,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2775_349,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl785,zip_derived_cl32]) ).
thf(zip_derived_cl2776,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n0 @ n15 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl427,zip_derived_cl2775]) ).
thf(zip_derived_cl49_350,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_351,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_352,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_353,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl303_354,plain,
( ( sum @ n15 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl302_355,plain,
( ( sum @ n15 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5652,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n0 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2776,zip_derived_cl49,zip_derived_cl33,zip_derived_cl64,zip_derived_cl48,zip_derived_cl303,zip_derived_cl302]) ).
thf(zip_derived_cl3_356,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('61',plain,
( ( sk_ != n0 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5652,zip_derived_cl3]) ).
thf(zip_derived_cl427_357,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2740_358,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl761,zip_derived_cl31]) ).
thf(zip_derived_cl2741,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_cl427,zip_derived_cl2740]) ).
thf(zip_derived_cl64_359,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_360,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_361,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_362,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_363,plain,
( ( sum @ n14 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl284,plain,
( ( sum @ n14 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5582,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n0 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2741,zip_derived_cl64,zip_derived_cl48,zip_derived_cl63,zip_derived_cl47,zip_derived_cl286,zip_derived_cl284]) ).
thf(zip_derived_cl6_364,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('62',plain,
( ( sk_ != n0 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5582,zip_derived_cl6]) ).
thf(zip_derived_cl427_365,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2704_366,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl745,zip_derived_cl30]) ).
thf(zip_derived_cl2705,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_cl427,zip_derived_cl2704]) ).
thf(zip_derived_cl63_367,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_368,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_369,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_370,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl269_371,plain,
( ( sum @ n13 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_372,plain,
( ( sum @ n13 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5512,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n0 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2705,zip_derived_cl63,zip_derived_cl47,zip_derived_cl62,zip_derived_cl46,zip_derived_cl269,zip_derived_cl266]) ).
thf(zip_derived_cl9_373,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('63',plain,
( ( sk_ != n0 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5512,zip_derived_cl9]) ).
thf(zip_derived_cl427_374,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2662_375,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl29]) ).
thf(zip_derived_cl2663,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_cl427,zip_derived_cl2662]) ).
thf(zip_derived_cl62_376,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_377,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_378,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_379,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl252_380,plain,
( ( sum @ n12 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl248,plain,
( ( sum @ n12 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5442,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n0 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2663,zip_derived_cl62,zip_derived_cl46,zip_derived_cl61,zip_derived_cl45,zip_derived_cl252,zip_derived_cl248]) ).
thf(zip_derived_cl12_381,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('64',plain,
( ( sk_ != n0 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5442,zip_derived_cl12]) ).
thf(zip_derived_cl427_382,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2624_383,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl28]) ).
thf(zip_derived_cl2625,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_cl427,zip_derived_cl2624]) ).
thf(zip_derived_cl61_384,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_385,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_386,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_387,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl235_388,plain,
( ( sum @ n11 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230,plain,
( ( sum @ n11 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5370,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n0 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2625,zip_derived_cl61,zip_derived_cl45,zip_derived_cl60,zip_derived_cl44,zip_derived_cl235,zip_derived_cl230]) ).
thf(zip_derived_cl15_389,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('65',plain,
( ( sk_ != n0 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5370,zip_derived_cl15]) ).
thf(zip_derived_cl427_390,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2589_391,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl27]) ).
thf(zip_derived_cl2590,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_cl427,zip_derived_cl2589]) ).
thf(zip_derived_cl60_392,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_393,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_394,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_395,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_396,plain,
( ( sum @ n10 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5300,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n0 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2590,zip_derived_cl60,zip_derived_cl44,zip_derived_cl59,zip_derived_cl43,zip_derived_cl218,zip_derived_cl212]) ).
thf(zip_derived_cl2_397,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('66',plain,
( ( sk_ != n0 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5300,zip_derived_cl2]) ).
thf(zip_derived_cl427_398,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2546_399,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl26]) ).
thf(zip_derived_cl2547,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_cl427,zip_derived_cl2546]) ).
thf(zip_derived_cl59_400,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_401,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_402,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_403,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl201_404,plain,
( ( sum @ n9 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_405,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5230,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n0 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2547,zip_derived_cl59,zip_derived_cl43,zip_derived_cl58,zip_derived_cl42,zip_derived_cl201,zip_derived_cl194]) ).
thf(zip_derived_cl5_406,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('67',plain,
( ( sk_ != n0 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5230,zip_derived_cl5]) ).
thf(zip_derived_cl427_407,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2510_408,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl675,zip_derived_cl25]) ).
thf(zip_derived_cl2511,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_cl427,zip_derived_cl2510]) ).
thf(zip_derived_cl58_409,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_410,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_411,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_412,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl184_413,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192,plain,
( ( sum @ n8 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5160,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n0 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2511,zip_derived_cl58,zip_derived_cl42,zip_derived_cl57,zip_derived_cl41,zip_derived_cl184,zip_derived_cl192]) ).
thf(zip_derived_cl8_414,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('68',plain,
( ( sk_ != n0 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5160,zip_derived_cl8]) ).
thf(zip_derived_cl427_415,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl450_416,plain,
( ( sk__1 = n7 )
<= ( sk__1 = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl16_417,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_cl665,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_cl450,zip_derived_cl16]) ).
thf(zip_derived_cl24_418,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2470,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference(demod,[status(thm)],[zip_derived_cl665,zip_derived_cl24]) ).
thf(zip_derived_cl2471,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_cl427,zip_derived_cl2470]) ).
thf(zip_derived_cl57_419,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_420,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_421,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_422,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl167_423,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174,plain,
( ( sum @ n7 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5090,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n0 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2471,zip_derived_cl57,zip_derived_cl41,zip_derived_cl56,zip_derived_cl40,zip_derived_cl167,zip_derived_cl174]) ).
thf(zip_derived_cl11_424,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('69',plain,
( ( sk_ != n0 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5090,zip_derived_cl11]) ).
thf(zip_derived_cl427_425,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1827_426,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl616]) ).
thf(zip_derived_cl1828,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_cl427,zip_derived_cl1827]) ).
thf(zip_derived_cl56_427,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_428,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_429,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_430,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl150_431,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156,plain,
( ( sum @ n6 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4549,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n0 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1828,zip_derived_cl56,zip_derived_cl40,zip_derived_cl55,zip_derived_cl39,zip_derived_cl150,zip_derived_cl156]) ).
thf(zip_derived_cl14_432,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('70',plain,
( ( sk__1 != n6 )
| ( sk_ != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4549,zip_derived_cl14]) ).
thf(zip_derived_cl427_433,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1574_434,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl615]) ).
thf(zip_derived_cl1581,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_cl427,zip_derived_cl1574]) ).
thf(zip_derived_cl55_435,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_436,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_437,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_438,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl133_439,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4227,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n0 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1581,zip_derived_cl55,zip_derived_cl39,zip_derived_cl54,zip_derived_cl38,zip_derived_cl133,zip_derived_cl138]) ).
thf(zip_derived_cl1_440,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('71',plain,
( ( sk__1 != n5 )
| ( sk_ != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4227,zip_derived_cl1]) ).
thf(zip_derived_cl427_441,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1318_442,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl614]) ).
thf(zip_derived_cl1328,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_cl427,zip_derived_cl1318]) ).
thf(zip_derived_cl54_443,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_444,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_445,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_446,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116_447,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4020,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n0 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1328,zip_derived_cl54,zip_derived_cl38,zip_derived_cl53,zip_derived_cl37,zip_derived_cl116,zip_derived_cl120]) ).
thf(zip_derived_cl4_448,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('72',plain,
( ( sk_ != n0 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4020,zip_derived_cl4]) ).
thf(zip_derived_cl427_449,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1108_450,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl613]) ).
thf(zip_derived_cl1115,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_cl427,zip_derived_cl1108]) ).
thf(zip_derived_cl53_451,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_452,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_453,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_454,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99_455,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3897,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n0 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1115,zip_derived_cl53,zip_derived_cl37,zip_derived_cl52,zip_derived_cl36,zip_derived_cl99,zip_derived_cl102]) ).
thf(zip_derived_cl7_456,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('73',plain,
( ( sk_ != n0 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3897,zip_derived_cl7]) ).
thf(zip_derived_cl427_457,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl914_458,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl612]) ).
thf(zip_derived_cl918,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_cl427,zip_derived_cl914]) ).
thf(zip_derived_cl52_459,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_460,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_461,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_462,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_463,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3849,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n0 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl918,zip_derived_cl52,zip_derived_cl36,zip_derived_cl51,zip_derived_cl35,zip_derived_cl82,zip_derived_cl84]) ).
thf(zip_derived_cl10_464,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('74',plain,
( ( sk_ != n0 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3849,zip_derived_cl10]) ).
thf(zip_derived_cl244,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl439_465,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl914_466,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl612]) ).
thf(zip_derived_cl930,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_cl439,zip_derived_cl914]) ).
thf(zip_derived_cl4279,plain,
( ( sk__2
= ( sum @ ( pred @ n15 ) @ ( sum @ n2 @ ( pred @ ( sum @ n12 @ n2 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl244,zip_derived_cl930]) ).
thf(zip_derived_cl48_467,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_468,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_469,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4281,plain,
( ( sk__2
= ( sum @ n14 @ n15 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4279,zip_derived_cl48,zip_derived_cl243,zip_derived_cl47,zip_derived_cl94]) ).
thf(zip_derived_cl288,plain,
( ( sum @ n14 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4596,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n12 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4281,zip_derived_cl288]) ).
thf(zip_derived_cl2_470,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('75',plain,
( ( sk__1 != n2 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4596,zip_derived_cl2]) ).
thf(zip_derived_cl276,plain,
( ( sum @ n14 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl441_471,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl914_472,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl612]) ).
thf(zip_derived_cl932,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_cl441,zip_derived_cl914]) ).
thf(zip_derived_cl4507,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n2 @ ( pred @ ( sum @ n14 @ n2 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl276,zip_derived_cl932]) ).
thf(zip_derived_cl34_473,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl275_474,plain,
( ( sum @ n14 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_475,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96,plain,
( ( sum @ n2 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_476,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4510,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n14 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4507,zip_derived_cl34,zip_derived_cl275,zip_derived_cl33,zip_derived_cl96,zip_derived_cl50]) ).
thf(zip_derived_cl14_477,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('76',plain,
( ( sk__1 != n2 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4510,zip_derived_cl14]) ).
thf(zip_derived_cl228,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438_478,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl914_479,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl612]) ).
thf(zip_derived_cl929,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_cl438,zip_derived_cl914]) ).
thf(zip_derived_cl4184,plain,
( ( sk__2
= ( sum @ ( pred @ n14 ) @ ( sum @ n2 @ ( pred @ ( sum @ n11 @ n2 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl228,zip_derived_cl929]) ).
thf(zip_derived_cl47_480,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227_481,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_482,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4186,plain,
( ( sk__2
= ( sum @ n13 @ n14 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4184,zip_derived_cl47,zip_derived_cl227,zip_derived_cl46,zip_derived_cl93]) ).
thf(zip_derived_cl271_483,plain,
( ( sum @ n13 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4461,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n11 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4186,zip_derived_cl271]) ).
thf(zip_derived_cl4_484,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('77',plain,
( ( sk__1 != n2 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4461,zip_derived_cl4]) ).
thf(zip_derived_cl212_485,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl437_486,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl914_487,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl612]) ).
thf(zip_derived_cl928,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_cl437,zip_derived_cl914]) ).
thf(zip_derived_cl4083,plain,
( ( sk__2
= ( sum @ ( pred @ n13 ) @ ( sum @ n2 @ ( pred @ ( sum @ n10 @ n2 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl928]) ).
thf(zip_derived_cl46_488,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl211_489,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_490,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4085,plain,
( ( sk__2
= ( sum @ n12 @ n13 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4083,zip_derived_cl46,zip_derived_cl211,zip_derived_cl45,zip_derived_cl92]) ).
thf(zip_derived_cl254,plain,
( ( sum @ n12 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4335,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n10 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4085,zip_derived_cl254]) ).
thf(zip_derived_cl6_491,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('78',plain,
( ( sk__1 != n2 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4335,zip_derived_cl6]) ).
thf(zip_derived_cl196,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436_492,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl914_493,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl612]) ).
thf(zip_derived_cl927,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_cl436,zip_derived_cl914]) ).
thf(zip_derived_cl4015,plain,
( ( sk__2
= ( sum @ ( pred @ n12 ) @ ( sum @ n2 @ ( pred @ ( sum @ n9 @ n2 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl196,zip_derived_cl927]) ).
thf(zip_derived_cl45_494,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl195_495,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_496,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4017,plain,
( ( sk__2
= ( sum @ n11 @ n12 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4015,zip_derived_cl45,zip_derived_cl195,zip_derived_cl44,zip_derived_cl91]) ).
thf(zip_derived_cl237,plain,
( ( sum @ n11 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4239,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n9 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4017,zip_derived_cl237]) ).
thf(zip_derived_cl8_497,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('79',plain,
( ( sk__1 != n2 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4239,zip_derived_cl8]) ).
thf(zip_derived_cl180,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl435_498,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl914_499,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl612]) ).
thf(zip_derived_cl926,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_cl435,zip_derived_cl914]) ).
thf(zip_derived_cl3936,plain,
( ( sk__2
= ( sum @ ( pred @ n11 ) @ ( sum @ n2 @ ( pred @ ( sum @ n8 @ n2 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl180,zip_derived_cl926]) ).
thf(zip_derived_cl44_500,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl179_501,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_502,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3939,plain,
( ( sk__2
= ( sum @ n10 @ n11 ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3936,zip_derived_cl44,zip_derived_cl179,zip_derived_cl43,zip_derived_cl90]) ).
thf(zip_derived_cl220,plain,
( ( sum @ n10 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4131,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n8 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3939,zip_derived_cl220]) ).
thf(zip_derived_cl10_503,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('80',plain,
( ( sk__1 != n2 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4131,zip_derived_cl10]) ).
thf(zip_derived_cl164_504,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_505,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl914_506,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl612]) ).
thf(zip_derived_cl925,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_cl434,zip_derived_cl914]) ).
thf(zip_derived_cl3876,plain,
( ( sk__2
= ( sum @ ( pred @ n10 ) @ ( sum @ n2 @ ( pred @ ( sum @ n7 @ n2 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl164,zip_derived_cl925]) ).
thf(zip_derived_cl43_507,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl163_508,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_509,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3878,plain,
( ( sk__2
= ( sum @ n9 @ n10 ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3876,zip_derived_cl43,zip_derived_cl163,zip_derived_cl42,zip_derived_cl89]) ).
thf(zip_derived_cl203,plain,
( ( sum @ n9 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4044,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n7 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3878,zip_derived_cl203]) ).
thf(zip_derived_cl12_510,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('81',plain,
( ( sk__1 != n2 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4044,zip_derived_cl12]) ).
thf(zip_derived_cl433_511,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl914_512,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl612]) ).
thf(zip_derived_cl924,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_cl433,zip_derived_cl914]) ).
thf(zip_derived_cl148,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_513,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147_514,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_515,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3860,plain,
( ( sk__2
= ( sum @ n8 @ n9 ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl924,zip_derived_cl148,zip_derived_cl42,zip_derived_cl147,zip_derived_cl41,zip_derived_cl88]) ).
thf(zip_derived_cl186,plain,
( ( sum @ n8 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3954,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n6 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3860,zip_derived_cl186]) ).
thf(zip_derived_cl14_516,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('82',plain,
( ( sk__1 != n2 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3954,zip_derived_cl14]) ).
thf(zip_derived_cl432_517,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl914_518,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl612]) ).
thf(zip_derived_cl923,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_cl432,zip_derived_cl914]) ).
thf(zip_derived_cl132_519,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_520,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl131_521,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_522,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_523,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3859,plain,
( ( sk__2
= ( sum @ n7 @ n8 ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl923,zip_derived_cl132,zip_derived_cl41,zip_derived_cl131,zip_derived_cl40,zip_derived_cl87]) ).
thf(zip_derived_cl169,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3895,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n5 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3859,zip_derived_cl169]) ).
thf(zip_derived_cl0_524,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('83',plain,
( ( sk__1 != n2 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3895,zip_derived_cl0]) ).
thf(zip_derived_cl431_525,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl914_526,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl612]) ).
thf(zip_derived_cl922,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_cl431,zip_derived_cl914]) ).
thf(zip_derived_cl116_527,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_528,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115_529,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_530,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl152,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3857,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n4 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl922,zip_derived_cl116,zip_derived_cl40,zip_derived_cl115,zip_derived_cl39,zip_derived_cl86,zip_derived_cl152]) ).
thf(zip_derived_cl2_531,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('84',plain,
( ( sk__1 != n2 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3857,zip_derived_cl2]) ).
thf(zip_derived_cl430_532,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl914_533,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl612]) ).
thf(zip_derived_cl921,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_cl430,zip_derived_cl914]) ).
thf(zip_derived_cl100_534,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_535,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99_536,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_537,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_538,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3855,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n3 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl921,zip_derived_cl100,zip_derived_cl39,zip_derived_cl99,zip_derived_cl38,zip_derived_cl85,zip_derived_cl135]) ).
thf(zip_derived_cl4_539,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('85',plain,
( ( sk__1 != n2 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3855,zip_derived_cl4]) ).
thf(zip_derived_cl429_540,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl914_541,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl612]) ).
thf(zip_derived_cl920,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_cl429,zip_derived_cl914]) ).
thf(zip_derived_cl84_542,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_543,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_544,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_545,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_546,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3853,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n2 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl920,zip_derived_cl84,zip_derived_cl38,zip_derived_cl83,zip_derived_cl37,zip_derived_cl84,zip_derived_cl118]) ).
thf(zip_derived_cl6_547,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('86',plain,
( ( sk__1 != n2 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3853,zip_derived_cl6]) ).
thf(zip_derived_cl428_548,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl914_549,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl612]) ).
thf(zip_derived_cl919,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_cl428,zip_derived_cl914]) ).
thf(zip_derived_cl68_550,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_551,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_552,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_553,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_554,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3851,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n1 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl919,zip_derived_cl68,zip_derived_cl37,zip_derived_cl67,zip_derived_cl36,zip_derived_cl83,zip_derived_cl101]) ).
thf(zip_derived_cl8_555,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('87',plain,
( ( sk__1 != n2 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3851,zip_derived_cl8]) ).
thf(zip_derived_cl428_556,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2775_557,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl785,zip_derived_cl32]) ).
thf(zip_derived_cl2777,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n1 @ n15 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl428,zip_derived_cl2775]) ).
thf(zip_derived_cl65_558,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_559,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_560,plain,
( ( sum @ n1 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_561,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl304_562,plain,
( ( sum @ n15 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_563,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5654,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n1 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2777,zip_derived_cl65,zip_derived_cl34,zip_derived_cl80,zip_derived_cl33,zip_derived_cl304,zip_derived_cl63]) ).
thf(zip_derived_cl1_564,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('88',plain,
( ( sk_ != n1 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5654,zip_derived_cl1]) ).
thf(zip_derived_cl428_565,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2740_566,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl761,zip_derived_cl31]) ).
thf(zip_derived_cl2742,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_cl428,zip_derived_cl2740]) ).
thf(zip_derived_cl80_567,plain,
( ( sum @ n1 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_568,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_569,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_570,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl287_571,plain,
( ( sum @ n14 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl301_572,plain,
( ( sum @ n15 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5584,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n1 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2742,zip_derived_cl80,zip_derived_cl33,zip_derived_cl79,zip_derived_cl48,zip_derived_cl287,zip_derived_cl301]) ).
thf(zip_derived_cl4_573,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('89',plain,
( ( sk_ != n1 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5584,zip_derived_cl4]) ).
thf(zip_derived_cl428_574,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2704_575,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl745,zip_derived_cl30]) ).
thf(zip_derived_cl2706,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_cl428,zip_derived_cl2704]) ).
thf(zip_derived_cl79_576,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_577,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_578,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_579,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_580,plain,
( ( sum @ n13 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl283_581,plain,
( ( sum @ n14 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5514,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n1 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2706,zip_derived_cl79,zip_derived_cl48,zip_derived_cl78,zip_derived_cl47,zip_derived_cl270,zip_derived_cl283]) ).
thf(zip_derived_cl7_582,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('90',plain,
( ( sk_ != n1 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5514,zip_derived_cl7]) ).
thf(zip_derived_cl428_583,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2662_584,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl29]) ).
thf(zip_derived_cl2664,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_cl428,zip_derived_cl2662]) ).
thf(zip_derived_cl78_585,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_586,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_587,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_588,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl253_589,plain,
( ( sum @ n12 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl265_590,plain,
( ( sum @ n13 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5444,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n1 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2664,zip_derived_cl78,zip_derived_cl47,zip_derived_cl77,zip_derived_cl46,zip_derived_cl253,zip_derived_cl265]) ).
thf(zip_derived_cl10_591,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('91',plain,
( ( sk_ != n1 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5444,zip_derived_cl10]) ).
thf(zip_derived_cl428_592,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2624_593,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl28]) ).
thf(zip_derived_cl2626,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_cl428,zip_derived_cl2624]) ).
thf(zip_derived_cl77_594,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_595,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_596,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_597,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl236_598,plain,
( ( sum @ n11 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl247_599,plain,
( ( sum @ n12 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5372,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n1 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2626,zip_derived_cl77,zip_derived_cl46,zip_derived_cl76,zip_derived_cl45,zip_derived_cl236,zip_derived_cl247]) ).
thf(zip_derived_cl13_600,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('92',plain,
( ( sk_ != n1 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5372,zip_derived_cl13]) ).
thf(zip_derived_cl428_601,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2589_602,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl27]) ).
thf(zip_derived_cl2591,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_cl428,zip_derived_cl2589]) ).
thf(zip_derived_cl76_603,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_604,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_605,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_606,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219_607,plain,
( ( sum @ n10 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl229,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5302,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n1 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2591,zip_derived_cl76,zip_derived_cl45,zip_derived_cl75,zip_derived_cl44,zip_derived_cl219,zip_derived_cl229]) ).
thf(zip_derived_cl0_608,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('93',plain,
( ( sk_ != n1 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5302,zip_derived_cl0]) ).
thf(zip_derived_cl428_609,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2546_610,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl26]) ).
thf(zip_derived_cl2548,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_cl428,zip_derived_cl2546]) ).
thf(zip_derived_cl75_611,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_612,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_613,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_614,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl202_615,plain,
( ( sum @ n9 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl211_616,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5232,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n1 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2548,zip_derived_cl75,zip_derived_cl44,zip_derived_cl74,zip_derived_cl43,zip_derived_cl202,zip_derived_cl211]) ).
thf(zip_derived_cl3_617,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('94',plain,
( ( sk_ != n1 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5232,zip_derived_cl3]) ).
thf(zip_derived_cl428_618,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2510_619,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl675,zip_derived_cl25]) ).
thf(zip_derived_cl2512,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_cl428,zip_derived_cl2510]) ).
thf(zip_derived_cl74_620,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_621,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_622,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_623,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl185_624,plain,
( ( sum @ n8 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl193_625,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5162,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n1 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2512,zip_derived_cl74,zip_derived_cl43,zip_derived_cl73,zip_derived_cl42,zip_derived_cl185,zip_derived_cl193]) ).
thf(zip_derived_cl6_626,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('95',plain,
( ( sk_ != n1 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5162,zip_derived_cl6]) ).
thf(zip_derived_cl428_627,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2470_628,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference(demod,[status(thm)],[zip_derived_cl665,zip_derived_cl24]) ).
thf(zip_derived_cl2472,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_cl428,zip_derived_cl2470]) ).
thf(zip_derived_cl73_629,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_630,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_631,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_632,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168_633,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191,plain,
( ( sum @ n8 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5092,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n1 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2472,zip_derived_cl73,zip_derived_cl42,zip_derived_cl72,zip_derived_cl41,zip_derived_cl168,zip_derived_cl191]) ).
thf(zip_derived_cl9_634,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('96',plain,
( ( sk_ != n1 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5092,zip_derived_cl9]) ).
thf(zip_derived_cl428_635,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1827_636,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl616]) ).
thf(zip_derived_cl1829,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_cl428,zip_derived_cl1827]) ).
thf(zip_derived_cl72_637,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_638,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_639,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_640,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl151_641,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl173,plain,
( ( sum @ n7 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4551,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n1 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1829,zip_derived_cl72,zip_derived_cl41,zip_derived_cl71,zip_derived_cl40,zip_derived_cl151,zip_derived_cl173]) ).
thf(zip_derived_cl12_642,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('97',plain,
( ( sk__1 != n6 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4551,zip_derived_cl12]) ).
thf(zip_derived_cl428_643,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1574_644,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl615]) ).
thf(zip_derived_cl1582,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_cl428,zip_derived_cl1574]) ).
thf(zip_derived_cl71_645,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_646,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_647,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_648,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_649,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl155,plain,
( ( sum @ n6 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4229,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n1 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1582,zip_derived_cl71,zip_derived_cl40,zip_derived_cl70,zip_derived_cl39,zip_derived_cl134,zip_derived_cl155]) ).
thf(zip_derived_cl15_650,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('98',plain,
( ( sk__1 != n5 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4229,zip_derived_cl15]) ).
thf(zip_derived_cl428_651,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1318_652,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl614]) ).
thf(zip_derived_cl1329,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_cl428,zip_derived_cl1318]) ).
thf(zip_derived_cl70_653,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_654,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_655,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_656,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117_657,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4026,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n1 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1329,zip_derived_cl70,zip_derived_cl39,zip_derived_cl69,zip_derived_cl38,zip_derived_cl117,zip_derived_cl137]) ).
thf(zip_derived_cl2_658,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('99',plain,
( ( sk_ != n1 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4026,zip_derived_cl2]) ).
thf(zip_derived_cl428_659,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1108_660,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl613]) ).
thf(zip_derived_cl1116,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_cl428,zip_derived_cl1108]) ).
thf(zip_derived_cl69_661,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_662,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_663,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_664,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100_665,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3899,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n1 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1116,zip_derived_cl69,zip_derived_cl38,zip_derived_cl68,zip_derived_cl37,zip_derived_cl100,zip_derived_cl119]) ).
thf(zip_derived_cl5_666,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('100',plain,
( ( sk_ != n1 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3899,zip_derived_cl5]) ).
thf(zip_derived_cl441_667,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2546_668,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl26]) ).
thf(zip_derived_cl2561,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_cl441,zip_derived_cl2546]) ).
thf(zip_derived_cl283_669,plain,
( ( sum @ n14 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_670,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282,plain,
( ( sum @ n14 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_671,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl199,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176,plain,
( ( sum @ n7 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5260,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n14 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2561,zip_derived_cl283,zip_derived_cl41,zip_derived_cl282,zip_derived_cl40,zip_derived_cl199,zip_derived_cl176]) ).
thf(zip_derived_cl9_672,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('101',plain,
( ( sk__1 != n9 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5260,zip_derived_cl9]) ).
thf(zip_derived_cl439_673,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2546_674,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl26]) ).
thf(zip_derived_cl2559,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_cl439,zip_derived_cl2546]) ).
thf(zip_derived_cl251_675,plain,
( ( sum @ n12 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_676,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl250,plain,
( ( sum @ n12 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_677,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl197_678,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142,plain,
( ( sum @ n5 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5256,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n12 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2559,zip_derived_cl251,zip_derived_cl39,zip_derived_cl250,zip_derived_cl38,zip_derived_cl197,zip_derived_cl142]) ).
thf(zip_derived_cl13_679,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('102',plain,
( ( sk__1 != n9 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5256,zip_derived_cl13]) ).
thf(zip_derived_cl438_680,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2546_681,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl26]) ).
thf(zip_derived_cl2558,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_cl438,zip_derived_cl2546]) ).
thf(zip_derived_cl235_682,plain,
( ( sum @ n11 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_683,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234_684,plain,
( ( sum @ n11 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_685,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl196_686,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl125,plain,
( ( sum @ n4 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5254,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n11 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2558,zip_derived_cl235,zip_derived_cl38,zip_derived_cl234,zip_derived_cl37,zip_derived_cl196,zip_derived_cl125]) ).
thf(zip_derived_cl15_687,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('103',plain,
( ( sk__1 != n9 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5254,zip_derived_cl15]) ).
thf(zip_derived_cl437_688,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2546_689,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl26]) ).
thf(zip_derived_cl2557,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_cl437,zip_derived_cl2546]) ).
thf(zip_derived_cl219_690,plain,
( ( sum @ n10 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_691,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_692,plain,
( ( sum @ n10 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_693,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl195_694,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5252,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n10 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2557,zip_derived_cl219,zip_derived_cl37,zip_derived_cl218,zip_derived_cl36,zip_derived_cl195,zip_derived_cl108]) ).
thf(zip_derived_cl1_695,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('104',plain,
( ( sk__1 != n9 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5252,zip_derived_cl1]) ).
thf(zip_derived_cl436_696,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2546_697,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl26]) ).
thf(zip_derived_cl2556,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_cl436,zip_derived_cl2546]) ).
thf(zip_derived_cl203_698,plain,
( ( sum @ n9 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_699,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl202_700,plain,
( ( sum @ n9 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_701,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_702,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_703,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5250,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n9 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2556,zip_derived_cl203,zip_derived_cl36,zip_derived_cl202,zip_derived_cl35,zip_derived_cl194,zip_derived_cl91]) ).
thf(zip_derived_cl3_704,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('105',plain,
( ( sk__1 != n9 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5250,zip_derived_cl3]) ).
thf(zip_derived_cl435_705,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2546_706,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl26]) ).
thf(zip_derived_cl2555,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_cl435,zip_derived_cl2546]) ).
thf(zip_derived_cl187,plain,
( ( sum @ n8 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_707,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl186_708,plain,
( ( sum @ n8 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_709,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl193_710,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_711,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5248,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n8 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2555,zip_derived_cl187,zip_derived_cl35,zip_derived_cl186,zip_derived_cl34,zip_derived_cl193,zip_derived_cl74]) ).
thf(zip_derived_cl5_712,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('106',plain,
( ( sk__1 != n9 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5248,zip_derived_cl5]) ).
thf(zip_derived_cl434_713,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2546_714,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl26]) ).
thf(zip_derived_cl2554,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_cl434,zip_derived_cl2546]) ).
thf(zip_derived_cl171,plain,
( ( sum @ n7 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_715,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170,plain,
( ( sum @ n7 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_716,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl208,plain,
( ( sum @ n9 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_717,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5246,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n7 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2554,zip_derived_cl171,zip_derived_cl34,zip_derived_cl170,zip_derived_cl33,zip_derived_cl208,zip_derived_cl57]) ).
thf(zip_derived_cl7_718,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('107',plain,
( ( sk__1 != n9 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5246,zip_derived_cl7]) ).
thf(zip_derived_cl433_719,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2546_720,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl26]) ).
thf(zip_derived_cl2553,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_cl433,zip_derived_cl2546]) ).
thf(zip_derived_cl155_721,plain,
( ( sum @ n6 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_722,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_723,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl207,plain,
( ( sum @ n9 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl296_724,plain,
( ( sum @ n15 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5244,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n6 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2553,zip_derived_cl155,zip_derived_cl33,zip_derived_cl154,zip_derived_cl48,zip_derived_cl207,zip_derived_cl296]) ).
thf(zip_derived_cl9_725,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('108',plain,
( ( sk__1 != n9 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5244,zip_derived_cl9]) ).
thf(zip_derived_cl432_726,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2546_727,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl26]) ).
thf(zip_derived_cl2552,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_cl432,zip_derived_cl2546]) ).
thf(zip_derived_cl139_728,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_729,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138_730,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_731,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl206,plain,
( ( sum @ n9 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl279,plain,
( ( sum @ n14 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5240,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n5 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2552,zip_derived_cl139,zip_derived_cl48,zip_derived_cl138,zip_derived_cl47,zip_derived_cl206,zip_derived_cl279]) ).
thf(zip_derived_cl11_732,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('109',plain,
( ( sk__1 != n9 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5240,zip_derived_cl11]) ).
thf(zip_derived_cl431_733,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2546_734,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl26]) ).
thf(zip_derived_cl2551,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_cl431,zip_derived_cl2546]) ).
thf(zip_derived_cl123_735,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_736,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_737,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl205,plain,
( ( sum @ n9 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262_738,plain,
( ( sum @ n13 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5238,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n4 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2551,zip_derived_cl123,zip_derived_cl47,zip_derived_cl122,zip_derived_cl46,zip_derived_cl205,zip_derived_cl262]) ).
thf(zip_derived_cl13_739,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('110',plain,
( ( sk__1 != n9 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5238,zip_derived_cl13]) ).
thf(zip_derived_cl430_740,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2546_741,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl26]) ).
thf(zip_derived_cl2550,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_cl430,zip_derived_cl2546]) ).
thf(zip_derived_cl107,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_742,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_743,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl204,plain,
( ( sum @ n9 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245,plain,
( ( sum @ n12 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5236,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n3 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2550,zip_derived_cl107,zip_derived_cl46,zip_derived_cl106,zip_derived_cl45,zip_derived_cl204,zip_derived_cl245]) ).
thf(zip_derived_cl15_744,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('111',plain,
( ( sk__1 != n9 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5236,zip_derived_cl15]) ).
thf(zip_derived_cl429_745,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2546_746,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl26]) ).
thf(zip_derived_cl2549,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_cl429,zip_derived_cl2546]) ).
thf(zip_derived_cl91_747,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_748,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_749,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_750,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl203_751,plain,
( ( sum @ n9 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228_752,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5234,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n2 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2549,zip_derived_cl91,zip_derived_cl45,zip_derived_cl90,zip_derived_cl44,zip_derived_cl203,zip_derived_cl228]) ).
thf(zip_derived_cl1_753,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('112',plain,
( ( sk__1 != n9 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5234,zip_derived_cl1]) ).
thf(zip_derived_cl431_754,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2775_755,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl785,zip_derived_cl32]) ).
thf(zip_derived_cl2780,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n4 @ n15 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl431,zip_derived_cl2775]) ).
thf(zip_derived_cl113_756,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_757,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128,plain,
( ( sum @ n4 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_758,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl291_759,plain,
( ( sum @ n15 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_760,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5662,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n4 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2780,zip_derived_cl113,zip_derived_cl37,zip_derived_cl128,zip_derived_cl36,zip_derived_cl291,zip_derived_cl98]) ).
thf(zip_derived_cl11_761,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('113',plain,
( ( sk_ != n4 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5662,zip_derived_cl11]) ).
thf(zip_derived_cl431_762,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2740_763,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl761,zip_derived_cl31]) ).
thf(zip_derived_cl2745,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_cl431,zip_derived_cl2740]) ).
thf(zip_derived_cl128_764,plain,
( ( sum @ n4 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_765,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127,plain,
( ( sum @ n4 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_766,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl274_767,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_768,plain,
( ( sum @ n2 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5590,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n4 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2745,zip_derived_cl128,zip_derived_cl36,zip_derived_cl127,zip_derived_cl35,zip_derived_cl274,zip_derived_cl96]) ).
thf(zip_derived_cl14_769,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('114',plain,
( ( sk_ != n4 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5590,zip_derived_cl14]) ).
thf(zip_derived_cl431_770,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2704_771,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl745,zip_derived_cl30]) ).
thf(zip_derived_cl2709,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_cl431,zip_derived_cl2704]) ).
thf(zip_derived_cl127_772,plain,
( ( sum @ n4 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_773,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126,plain,
( ( sum @ n4 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_774,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl257_775,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_776,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5520,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n4 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2709,zip_derived_cl127,zip_derived_cl35,zip_derived_cl126,zip_derived_cl34,zip_derived_cl257,zip_derived_cl78]) ).
thf(zip_derived_cl1_777,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('115',plain,
( ( sk_ != n4 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5520,zip_derived_cl1]) ).
thf(zip_derived_cl431_778,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2662_779,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl29]) ).
thf(zip_derived_cl2667,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_cl431,zip_derived_cl2662]) ).
thf(zip_derived_cl126_780,plain,
( ( sum @ n4 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_781,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl125_782,plain,
( ( sum @ n4 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_783,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256,plain,
( ( sum @ n12 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_784,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5450,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n4 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2667,zip_derived_cl126,zip_derived_cl34,zip_derived_cl125,zip_derived_cl33,zip_derived_cl256,zip_derived_cl60]) ).
thf(zip_derived_cl4_785,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('116',plain,
( ( sk_ != n4 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5450,zip_derived_cl4]) ).
thf(zip_derived_cl431_786,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2624_787,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl28]) ).
thf(zip_derived_cl2629,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_cl431,zip_derived_cl2624]) ).
thf(zip_derived_cl125_788,plain,
( ( sum @ n4 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_789,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_790,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl239,plain,
( ( sum @ n11 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl298_791,plain,
( ( sum @ n15 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5380,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n4 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2629,zip_derived_cl125,zip_derived_cl33,zip_derived_cl124,zip_derived_cl48,zip_derived_cl239,zip_derived_cl298]) ).
thf(zip_derived_cl7_792,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('117',plain,
( ( sk_ != n4 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5380,zip_derived_cl7]) ).
thf(zip_derived_cl431_793,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2589_794,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl27]) ).
thf(zip_derived_cl2594,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_cl431,zip_derived_cl2589]) ).
thf(zip_derived_cl124_795,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_796,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl123_797,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_798,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222,plain,
( ( sum @ n10 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280,plain,
( ( sum @ n14 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5310,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n4 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2594,zip_derived_cl124,zip_derived_cl48,zip_derived_cl123,zip_derived_cl47,zip_derived_cl222,zip_derived_cl280]) ).
thf(zip_derived_cl10_799,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('118',plain,
( ( sk_ != n4 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5310,zip_derived_cl10]) ).
thf(zip_derived_cl431_800,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2510_801,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl675,zip_derived_cl25]) ).
thf(zip_derived_cl2515,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_cl431,zip_derived_cl2510]) ).
thf(zip_derived_cl122_802,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_803,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121_804,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_805,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl188,plain,
( ( sum @ n8 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_806,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5168,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n4 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2515,zip_derived_cl122,zip_derived_cl46,zip_derived_cl121,zip_derived_cl45,zip_derived_cl188,zip_derived_cl244]) ).
thf(zip_derived_cl0_807,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('119',plain,
( ( sk_ != n4 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5168,zip_derived_cl0]) ).
thf(zip_derived_cl431_808,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2470_809,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference(demod,[status(thm)],[zip_derived_cl665,zip_derived_cl24]) ).
thf(zip_derived_cl2475,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_cl431,zip_derived_cl2470]) ).
thf(zip_derived_cl121_810,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_811,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120_812,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_813,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl171_814,plain,
( ( sum @ n7 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_815,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5098,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n4 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2475,zip_derived_cl121,zip_derived_cl45,zip_derived_cl120,zip_derived_cl44,zip_derived_cl171,zip_derived_cl226]) ).
thf(zip_derived_cl3_816,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('120',plain,
( ( sk_ != n4 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5098,zip_derived_cl3]) ).
thf(zip_derived_cl431_817,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1827_818,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl616]) ).
thf(zip_derived_cl1832,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_cl431,zip_derived_cl1827]) ).
thf(zip_derived_cl120_819,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_820,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119_821,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_822,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_823,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224,plain,
( ( sum @ n10 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4557,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n4 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1832,zip_derived_cl120,zip_derived_cl44,zip_derived_cl119,zip_derived_cl43,zip_derived_cl154,zip_derived_cl224]) ).
thf(zip_derived_cl6_824,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('121',plain,
( ( sk__1 != n6 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4557,zip_derived_cl6]) ).
thf(zip_derived_cl431_825,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1574_826,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl615]) ).
thf(zip_derived_cl1585,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_cl431,zip_derived_cl1574]) ).
thf(zip_derived_cl119_827,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_828,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118_829,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_830,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_831,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl206_832,plain,
( ( sum @ n9 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4237,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n4 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1585,zip_derived_cl119,zip_derived_cl43,zip_derived_cl118,zip_derived_cl42,zip_derived_cl137,zip_derived_cl206]) ).
thf(zip_derived_cl9_833,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('122',plain,
( ( sk__1 != n5 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4237,zip_derived_cl9]) ).
thf(zip_derived_cl431_834,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1318_835,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl614]) ).
thf(zip_derived_cl1332,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_cl431,zip_derived_cl1318]) ).
thf(zip_derived_cl118_836,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_837,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117_838,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_839,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120_840,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl188_841,plain,
( ( sum @ n8 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4032,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n4 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1332,zip_derived_cl118,zip_derived_cl42,zip_derived_cl117,zip_derived_cl41,zip_derived_cl120,zip_derived_cl188]) ).
thf(zip_derived_cl12_842,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('123',plain,
( ( sk_ != n4 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4032,zip_derived_cl12]) ).
thf(zip_derived_cl431_843,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1108_844,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl613]) ).
thf(zip_derived_cl1119,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_cl431,zip_derived_cl1108]) ).
thf(zip_derived_cl117_845,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_846,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116_847,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_848,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103_849,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170_850,plain,
( ( sum @ n7 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3905,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n4 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1119,zip_derived_cl117,zip_derived_cl41,zip_derived_cl116,zip_derived_cl40,zip_derived_cl103,zip_derived_cl170]) ).
thf(zip_derived_cl15_851,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('124',plain,
( ( sk_ != n4 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3905,zip_derived_cl15]) ).
thf(zip_derived_cl441_852,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2740_853,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl761,zip_derived_cl31]) ).
thf(zip_derived_cl2755,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_cl441,zip_derived_cl2740]) ).
thf(zip_derived_cl288_854,plain,
( ( sum @ n14 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_855,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl287_856,plain,
( ( sum @ n14 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_857,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl284_858,plain,
( ( sum @ n14 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl250_859,plain,
( ( sum @ n12 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5612,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n14 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2755,zip_derived_cl288,zip_derived_cl46,zip_derived_cl287,zip_derived_cl45,zip_derived_cl284,zip_derived_cl250]) ).
thf(zip_derived_cl10_860,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('125',plain,
( ( sk__1 != n14 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5612,zip_derived_cl10]) ).
thf(zip_derived_cl439_861,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2740_862,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl761,zip_derived_cl31]) ).
thf(zip_derived_cl2753,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_cl439,zip_derived_cl2740]) ).
thf(zip_derived_cl256_863,plain,
( ( sum @ n12 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_864,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl255,plain,
( ( sum @ n12 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_865,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282_866,plain,
( ( sum @ n14 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216,plain,
( ( sum @ n10 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5608,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n12 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2753,zip_derived_cl256,zip_derived_cl44,zip_derived_cl255,zip_derived_cl43,zip_derived_cl282,zip_derived_cl216]) ).
thf(zip_derived_cl14_867,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('126',plain,
( ( sk__1 != n14 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5608,zip_derived_cl14]) ).
thf(zip_derived_cl438_868,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2740_869,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl761,zip_derived_cl31]) ).
thf(zip_derived_cl2752,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_cl438,zip_derived_cl2740]) ).
thf(zip_derived_cl240,plain,
( ( sum @ n11 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_870,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl239_871,plain,
( ( sum @ n11 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_872,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl281,plain,
( ( sum @ n14 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl199_873,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5606,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n11 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2752,zip_derived_cl240,zip_derived_cl43,zip_derived_cl239,zip_derived_cl42,zip_derived_cl281,zip_derived_cl199]) ).
thf(zip_derived_cl0_874,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('127',plain,
( ( sk__1 != n14 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5606,zip_derived_cl0]) ).
thf(zip_derived_cl437_875,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2740_876,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl761,zip_derived_cl31]) ).
thf(zip_derived_cl2751,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_cl437,zip_derived_cl2740]) ).
thf(zip_derived_cl224_877,plain,
( ( sum @ n10 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_878,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl223,plain,
( ( sum @ n10 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_879,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280_880,plain,
( ( sum @ n14 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5604,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n10 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2751,zip_derived_cl224,zip_derived_cl42,zip_derived_cl223,zip_derived_cl41,zip_derived_cl280,zip_derived_cl182]) ).
thf(zip_derived_cl2_881,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('128',plain,
( ( sk__1 != n14 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5604,zip_derived_cl2]) ).
thf(zip_derived_cl436_882,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2740_883,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl761,zip_derived_cl31]) ).
thf(zip_derived_cl2750,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_cl436,zip_derived_cl2740]) ).
thf(zip_derived_cl208_884,plain,
( ( sum @ n9 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_885,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl207_886,plain,
( ( sum @ n9 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_887,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl279_888,plain,
( ( sum @ n14 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl165,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5602,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n9 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2750,zip_derived_cl208,zip_derived_cl41,zip_derived_cl207,zip_derived_cl40,zip_derived_cl279,zip_derived_cl165]) ).
thf(zip_derived_cl4_889,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('129',plain,
( ( sk__1 != n14 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5602,zip_derived_cl4]) ).
thf(zip_derived_cl435_890,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2740_891,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl761,zip_derived_cl31]) ).
thf(zip_derived_cl2749,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_cl435,zip_derived_cl2740]) ).
thf(zip_derived_cl192_892,plain,
( ( sum @ n8 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_893,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_894,plain,
( ( sum @ n8 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_895,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278,plain,
( ( sum @ n14 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148_896,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5600,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n8 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2749,zip_derived_cl192,zip_derived_cl40,zip_derived_cl191,zip_derived_cl39,zip_derived_cl278,zip_derived_cl148]) ).
thf(zip_derived_cl6_897,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('130',plain,
( ( sk__1 != n14 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5600,zip_derived_cl6]) ).
thf(zip_derived_cl434_898,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2740_899,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl761,zip_derived_cl31]) ).
thf(zip_derived_cl2748,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_cl434,zip_derived_cl2740]) ).
thf(zip_derived_cl176_900,plain,
( ( sum @ n7 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_901,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl175_902,plain,
( ( sum @ n7 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_903,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl277,plain,
( ( sum @ n14 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl131_904,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5598,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n7 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2748,zip_derived_cl176,zip_derived_cl39,zip_derived_cl175,zip_derived_cl38,zip_derived_cl277,zip_derived_cl131]) ).
thf(zip_derived_cl8_905,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('131',plain,
( ( sk__1 != n14 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5598,zip_derived_cl8]) ).
thf(zip_derived_cl433_906,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2740_907,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl761,zip_derived_cl31]) ).
thf(zip_derived_cl2747,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_cl433,zip_derived_cl2740]) ).
thf(zip_derived_cl160,plain,
( ( sum @ n6 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_908,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl159_909,plain,
( ( sum @ n6 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_910,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276_911,plain,
( ( sum @ n14 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114_912,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5596,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n6 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2747,zip_derived_cl160,zip_derived_cl38,zip_derived_cl159,zip_derived_cl37,zip_derived_cl276,zip_derived_cl114]) ).
thf(zip_derived_cl10_913,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('132',plain,
( ( sk__1 != n14 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5596,zip_derived_cl10]) ).
thf(zip_derived_cl432_914,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2740_915,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl761,zip_derived_cl31]) ).
thf(zip_derived_cl2746,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_cl432,zip_derived_cl2740]) ).
thf(zip_derived_cl144,plain,
( ( sum @ n5 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_916,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143,plain,
( ( sum @ n5 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_917,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl275_918,plain,
( ( sum @ n14 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97_919,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5592,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n5 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2746,zip_derived_cl144,zip_derived_cl37,zip_derived_cl143,zip_derived_cl36,zip_derived_cl275,zip_derived_cl97]) ).
thf(zip_derived_cl12_920,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('133',plain,
( ( sk__1 != n14 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5592,zip_derived_cl12]) ).
thf(zip_derived_cl430_921,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2740_922,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl761,zip_derived_cl31]) ).
thf(zip_derived_cl2744,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_cl430,zip_derived_cl2740]) ).
thf(zip_derived_cl112_923,plain,
( ( sum @ n3 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_924,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111,plain,
( ( sum @ n3 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_925,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl273_926,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_927,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5588,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n3 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2744,zip_derived_cl112,zip_derived_cl35,zip_derived_cl111,zip_derived_cl34,zip_derived_cl273,zip_derived_cl79]) ).
thf(zip_derived_cl0_928,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('134',plain,
( ( sk__1 != n14 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5588,zip_derived_cl0]) ).
thf(zip_derived_cl429_929,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2740_930,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl761,zip_derived_cl31]) ).
thf(zip_derived_cl2743,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_cl429,zip_derived_cl2740]) ).
thf(zip_derived_cl96_931,plain,
( ( sum @ n2 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_932,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95_933,plain,
( ( sum @ n2 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_934,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_935,plain,
( ( sum @ n14 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_936,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5586,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n2 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2743,zip_derived_cl96,zip_derived_cl34,zip_derived_cl95,zip_derived_cl33,zip_derived_cl288,zip_derived_cl62]) ).
thf(zip_derived_cl2_937,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('135',plain,
( ( sk__1 != n14 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5586,zip_derived_cl2]) ).
thf(zip_derived_cl429_938,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2775_939,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl785,zip_derived_cl32]) ).
thf(zip_derived_cl2778,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n2 @ n15 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl429,zip_derived_cl2775]) ).
thf(zip_derived_cl81_940,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_941,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_942,plain,
( ( sum @ n2 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_943,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl289_944,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_945,plain,
( ( sum @ n1 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5656,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n2 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2778,zip_derived_cl81,zip_derived_cl35,zip_derived_cl96,zip_derived_cl34,zip_derived_cl289,zip_derived_cl80]) ).
thf(zip_derived_cl15_946,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('136',plain,
( ( sk_ != n2 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5656,zip_derived_cl15]) ).
thf(zip_derived_cl429_947,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2704_948,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl745,zip_derived_cl30]) ).
thf(zip_derived_cl2707,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_cl429,zip_derived_cl2704]) ).
thf(zip_derived_cl95_949,plain,
( ( sum @ n2 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_950,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94_951,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_952,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl271_953,plain,
( ( sum @ n13 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl300_954,plain,
( ( sum @ n15 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5516,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n2 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2707,zip_derived_cl95,zip_derived_cl33,zip_derived_cl94,zip_derived_cl48,zip_derived_cl271,zip_derived_cl300]) ).
thf(zip_derived_cl5_955,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('137',plain,
( ( sk_ != n2 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5516,zip_derived_cl5]) ).
thf(zip_derived_cl429_956,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2662_957,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl29]) ).
thf(zip_derived_cl2665,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_cl429,zip_derived_cl2662]) ).
thf(zip_derived_cl94_958,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_959,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_960,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_961,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl254_962,plain,
( ( sum @ n12 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282_963,plain,
( ( sum @ n14 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5446,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n2 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2665,zip_derived_cl94,zip_derived_cl48,zip_derived_cl93,zip_derived_cl47,zip_derived_cl254,zip_derived_cl282]) ).
thf(zip_derived_cl8_964,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('138',plain,
( ( sk_ != n2 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5446,zip_derived_cl8]) ).
thf(zip_derived_cl429_965,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2624_966,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl28]) ).
thf(zip_derived_cl2627,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_cl429,zip_derived_cl2624]) ).
thf(zip_derived_cl93_967,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_968,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_969,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_970,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl237_971,plain,
( ( sum @ n11 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_972,plain,
( ( sum @ n13 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5376,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n2 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2627,zip_derived_cl93,zip_derived_cl47,zip_derived_cl92,zip_derived_cl46,zip_derived_cl237,zip_derived_cl264]) ).
thf(zip_derived_cl11_973,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('139',plain,
( ( sk_ != n2 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5376,zip_derived_cl11]) ).
thf(zip_derived_cl429_974,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2589_975,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl27]) ).
thf(zip_derived_cl2592,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_cl429,zip_derived_cl2589]) ).
thf(zip_derived_cl92_976,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_977,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_978,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_979,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_980,plain,
( ( sum @ n10 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl246_981,plain,
( ( sum @ n12 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5304,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n2 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2592,zip_derived_cl92,zip_derived_cl46,zip_derived_cl91,zip_derived_cl45,zip_derived_cl220,zip_derived_cl246]) ).
thf(zip_derived_cl14_982,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('140',plain,
( ( sk_ != n2 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5304,zip_derived_cl14]) ).
thf(zip_derived_cl429_983,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2510_984,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl675,zip_derived_cl25]) ).
thf(zip_derived_cl2513,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_cl429,zip_derived_cl2510]) ).
thf(zip_derived_cl90_985,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_986,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_987,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_988,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl186_989,plain,
( ( sum @ n8 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210_990,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5164,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n2 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl90,zip_derived_cl44,zip_derived_cl89,zip_derived_cl43,zip_derived_cl186,zip_derived_cl210]) ).
thf(zip_derived_cl4_991,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('141',plain,
( ( sk_ != n2 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5164,zip_derived_cl4]) ).
thf(zip_derived_cl429_992,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2470_993,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference(demod,[status(thm)],[zip_derived_cl665,zip_derived_cl24]) ).
thf(zip_derived_cl2473,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_cl429,zip_derived_cl2470]) ).
thf(zip_derived_cl89_994,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_995,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_996,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_997,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl169_998,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl208_999,plain,
( ( sum @ n9 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5094,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n2 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2473,zip_derived_cl89,zip_derived_cl43,zip_derived_cl88,zip_derived_cl42,zip_derived_cl169,zip_derived_cl208]) ).
thf(zip_derived_cl7_1000,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('142',plain,
( ( sk_ != n2 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5094,zip_derived_cl7]) ).
thf(zip_derived_cl429_1001,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1827_1002,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl616]) ).
thf(zip_derived_cl1830,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_cl429,zip_derived_cl1827]) ).
thf(zip_derived_cl88_1003,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_1004,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_1005,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1006,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl152_1007,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl190,plain,
( ( sum @ n8 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4553,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n2 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1830,zip_derived_cl88,zip_derived_cl42,zip_derived_cl87,zip_derived_cl41,zip_derived_cl152,zip_derived_cl190]) ).
thf(zip_derived_cl10_1008,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('143',plain,
( ( sk__1 != n6 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4553,zip_derived_cl10]) ).
thf(zip_derived_cl429_1009,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1574_1010,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl615]) ).
thf(zip_derived_cl1583,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_cl429,zip_derived_cl1574]) ).
thf(zip_derived_cl87_1011,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1012,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_1013,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1014,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_1015,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172,plain,
( ( sum @ n7 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4233,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n2 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1583,zip_derived_cl87,zip_derived_cl41,zip_derived_cl86,zip_derived_cl40,zip_derived_cl135,zip_derived_cl172]) ).
thf(zip_derived_cl13_1016,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('144',plain,
( ( sk__1 != n5 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4233,zip_derived_cl13]) ).
thf(zip_derived_cl429_1017,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1318_1018,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl614]) ).
thf(zip_derived_cl1330,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_cl429,zip_derived_cl1318]) ).
thf(zip_derived_cl86_1019,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1020,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_1021,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_1022,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118_1023,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_1024,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4028,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n2 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1330,zip_derived_cl86,zip_derived_cl40,zip_derived_cl85,zip_derived_cl39,zip_derived_cl118,zip_derived_cl154]) ).
thf(zip_derived_cl0_1025,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('145',plain,
( ( sk_ != n2 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4028,zip_derived_cl0]) ).
thf(zip_derived_cl429_1026,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1108_1027,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl613]) ).
thf(zip_derived_cl1117,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_cl429,zip_derived_cl1108]) ).
thf(zip_derived_cl85_1028,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_1029,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_1030,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_1031,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101_1032,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3901,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n2 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1117,zip_derived_cl85,zip_derived_cl39,zip_derived_cl84,zip_derived_cl38,zip_derived_cl101,zip_derived_cl136]) ).
thf(zip_derived_cl3_1033,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('146',plain,
( ( sk_ != n2 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3901,zip_derived_cl3]) ).
thf(zip_derived_cl441_1034,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2510_1035,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl675,zip_derived_cl25]) ).
thf(zip_derived_cl2525,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_cl441,zip_derived_cl2510]) ).
thf(zip_derived_cl282_1036,plain,
( ( sum @ n14 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1037,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl281_1038,plain,
( ( sum @ n14 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_1039,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182_1040,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158,plain,
( ( sum @ n6 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5190,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n14 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2525,zip_derived_cl282,zip_derived_cl40,zip_derived_cl281,zip_derived_cl39,zip_derived_cl182,zip_derived_cl158]) ).
thf(zip_derived_cl12_1041,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('147',plain,
( ( sk__1 != n8 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5190,zip_derived_cl12]) ).
thf(zip_derived_cl439_1042,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2510_1043,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl675,zip_derived_cl25]) ).
thf(zip_derived_cl2523,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_cl439,zip_derived_cl2510]) ).
thf(zip_derived_cl250_1044,plain,
( ( sum @ n12 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_1045,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl249_1046,plain,
( ( sum @ n12 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1047,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180_1048,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124_1049,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5186,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n12 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2523,zip_derived_cl250,zip_derived_cl38,zip_derived_cl249,zip_derived_cl37,zip_derived_cl180,zip_derived_cl124]) ).
thf(zip_derived_cl0_1050,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('148',plain,
( ( sk__1 != n8 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5186,zip_derived_cl0]) ).
thf(zip_derived_cl438_1051,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2510_1052,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl675,zip_derived_cl25]) ).
thf(zip_derived_cl2522,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_cl438,zip_derived_cl2510]) ).
thf(zip_derived_cl234_1053,plain,
( ( sum @ n11 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1054,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl233_1055,plain,
( ( sum @ n11 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1056,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl179_1057,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107_1058,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5184,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n11 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2522,zip_derived_cl234,zip_derived_cl37,zip_derived_cl233,zip_derived_cl36,zip_derived_cl179,zip_derived_cl107]) ).
thf(zip_derived_cl2_1059,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('149',plain,
( ( sk__1 != n8 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5184,zip_derived_cl2]) ).
thf(zip_derived_cl437_1060,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2510_1061,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl675,zip_derived_cl25]) ).
thf(zip_derived_cl2521,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_cl437,zip_derived_cl2510]) ).
thf(zip_derived_cl218_1062,plain,
( ( sum @ n10 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1063,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl217_1064,plain,
( ( sum @ n10 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_1065,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_1066,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_1067,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5182,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n10 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2521,zip_derived_cl218,zip_derived_cl36,zip_derived_cl217,zip_derived_cl35,zip_derived_cl178,zip_derived_cl90]) ).
thf(zip_derived_cl4_1068,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('150',plain,
( ( sk__1 != n8 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5182,zip_derived_cl4]) ).
thf(zip_derived_cl436_1069,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2510_1070,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl675,zip_derived_cl25]) ).
thf(zip_derived_cl2520,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_cl436,zip_derived_cl2510]) ).
thf(zip_derived_cl202_1071,plain,
( ( sum @ n9 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_1072,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl201_1073,plain,
( ( sum @ n9 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_1074,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl177_1075,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_1076,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5180,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n9 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2520,zip_derived_cl202,zip_derived_cl35,zip_derived_cl201,zip_derived_cl34,zip_derived_cl177,zip_derived_cl73]) ).
thf(zip_derived_cl6_1077,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('151',plain,
( ( sk__1 != n8 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5180,zip_derived_cl6]) ).
thf(zip_derived_cl435_1078,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2510_1079,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl675,zip_derived_cl25]) ).
thf(zip_derived_cl2519,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_cl435,zip_derived_cl2510]) ).
thf(zip_derived_cl186_1080,plain,
( ( sum @ n8 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_1081,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl185_1082,plain,
( ( sum @ n8 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1083,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_1084,plain,
( ( sum @ n8 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1085,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5178,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n8 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2519,zip_derived_cl186,zip_derived_cl34,zip_derived_cl185,zip_derived_cl33,zip_derived_cl192,zip_derived_cl56]) ).
thf(zip_derived_cl8_1086,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('152',plain,
( ( sk__1 != n8 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5178,zip_derived_cl8]) ).
thf(zip_derived_cl434_1087,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2510_1088,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl675,zip_derived_cl25]) ).
thf(zip_derived_cl2518,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_cl434,zip_derived_cl2510]) ).
thf(zip_derived_cl170_1089,plain,
( ( sum @ n7 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1090,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl169_1091,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1092,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_1093,plain,
( ( sum @ n8 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl295_1094,plain,
( ( sum @ n15 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5174,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n7 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2518,zip_derived_cl170,zip_derived_cl33,zip_derived_cl169,zip_derived_cl48,zip_derived_cl191,zip_derived_cl295]) ).
thf(zip_derived_cl10_1095,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('153',plain,
( ( sk__1 != n8 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5174,zip_derived_cl10]) ).
thf(zip_derived_cl433_1096,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2510_1097,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl675,zip_derived_cl25]) ).
thf(zip_derived_cl2517,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_cl433,zip_derived_cl2510]) ).
thf(zip_derived_cl154_1098,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1099,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl153,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1100,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl190_1101,plain,
( ( sum @ n8 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278_1102,plain,
( ( sum @ n14 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5172,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n6 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2517,zip_derived_cl154,zip_derived_cl48,zip_derived_cl153,zip_derived_cl47,zip_derived_cl190,zip_derived_cl278]) ).
thf(zip_derived_cl12_1103,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('154',plain,
( ( sk__1 != n8 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5172,zip_derived_cl12]) ).
thf(zip_derived_cl432_1104,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2510_1105,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl675,zip_derived_cl25]) ).
thf(zip_derived_cl2516,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_cl432,zip_derived_cl2510]) ).
thf(zip_derived_cl138_1106,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1107,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_1108,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1109,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189,plain,
( ( sum @ n8 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl261_1110,plain,
( ( sum @ n13 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5170,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n5 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2516,zip_derived_cl138,zip_derived_cl47,zip_derived_cl137,zip_derived_cl46,zip_derived_cl189,zip_derived_cl261]) ).
thf(zip_derived_cl14_1111,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('155',plain,
( ( sk__1 != n8 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5170,zip_derived_cl14]) ).
thf(zip_derived_cl430_1112,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2510_1113,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl675,zip_derived_cl25]) ).
thf(zip_derived_cl2514,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_cl430,zip_derived_cl2510]) ).
thf(zip_derived_cl106_1114,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1115,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl105_1116,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1117,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl187_1118,plain,
( ( sum @ n8 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227_1119,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5166,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n3 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2514,zip_derived_cl106,zip_derived_cl45,zip_derived_cl105,zip_derived_cl44,zip_derived_cl187,zip_derived_cl227]) ).
thf(zip_derived_cl2_1120,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('156',plain,
( ( sk__1 != n8 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5166,zip_derived_cl2]) ).
thf(zip_derived_cl432_1121,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2775_1122,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl785,zip_derived_cl32]) ).
thf(zip_derived_cl2781,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n5 @ n15 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl432,zip_derived_cl2775]) ).
thf(zip_derived_cl129_1123,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_1124,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144_1125,plain,
( ( sum @ n5 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1126,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl292_1127,plain,
( ( sum @ n15 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115_1128,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5664,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n5 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2781,zip_derived_cl129,zip_derived_cl38,zip_derived_cl144,zip_derived_cl37,zip_derived_cl292,zip_derived_cl115]) ).
thf(zip_derived_cl9_1129,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('157',plain,
( ( sk_ != n5 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5664,zip_derived_cl9]) ).
thf(zip_derived_cl432_1130,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2704_1131,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl745,zip_derived_cl30]) ).
thf(zip_derived_cl2710,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_cl432,zip_derived_cl2704]) ).
thf(zip_derived_cl143_1132,plain,
( ( sum @ n5 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1133,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142_1134,plain,
( ( sum @ n5 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_1135,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_1136,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95_1137,plain,
( ( sum @ n2 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5522,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n5 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2710,zip_derived_cl143,zip_derived_cl36,zip_derived_cl142,zip_derived_cl35,zip_derived_cl258,zip_derived_cl95]) ).
thf(zip_derived_cl15_1138,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('158',plain,
( ( sk_ != n5 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5522,zip_derived_cl15]) ).
thf(zip_derived_cl432_1139,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2662_1140,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl29]) ).
thf(zip_derived_cl2668,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_cl432,zip_derived_cl2662]) ).
thf(zip_derived_cl142_1141,plain,
( ( sum @ n5 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_1142,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141_1143,plain,
( ( sum @ n5 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_1144,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl241_1145,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_1146,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5452,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n5 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2668,zip_derived_cl142,zip_derived_cl35,zip_derived_cl141,zip_derived_cl34,zip_derived_cl241,zip_derived_cl77]) ).
thf(zip_derived_cl2_1147,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('159',plain,
( ( sk_ != n5 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5452,zip_derived_cl2]) ).
thf(zip_derived_cl432_1148,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2624_1149,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl28]) ).
thf(zip_derived_cl2630,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_cl432,zip_derived_cl2624]) ).
thf(zip_derived_cl141_1150,plain,
( ( sum @ n5 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_1151,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140,plain,
( ( sum @ n5 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1152,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl240_1153,plain,
( ( sum @ n11 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1154,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5382,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n5 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2630,zip_derived_cl141,zip_derived_cl34,zip_derived_cl140,zip_derived_cl33,zip_derived_cl240,zip_derived_cl59]) ).
thf(zip_derived_cl5_1155,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('160',plain,
( ( sk_ != n5 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5382,zip_derived_cl5]) ).
thf(zip_derived_cl432_1156,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2589_1157,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl27]) ).
thf(zip_derived_cl2595,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_cl432,zip_derived_cl2589]) ).
thf(zip_derived_cl140_1158,plain,
( ( sum @ n5 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1159,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139_1160,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1161,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl223_1162,plain,
( ( sum @ n10 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_1163,plain,
( ( sum @ n15 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5312,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n5 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2595,zip_derived_cl140,zip_derived_cl33,zip_derived_cl139,zip_derived_cl48,zip_derived_cl223,zip_derived_cl297]) ).
thf(zip_derived_cl8_1164,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('161',plain,
( ( sk_ != n5 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5312,zip_derived_cl8]) ).
thf(zip_derived_cl432_1165,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2470_1166,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference(demod,[status(thm)],[zip_derived_cl665,zip_derived_cl24]) ).
thf(zip_derived_cl2476,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_cl432,zip_derived_cl2470]) ).
thf(zip_derived_cl137_1167,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1168,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136_1169,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1170,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172_1171,plain,
( ( sum @ n7 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_1172,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5100,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n5 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2476,zip_derived_cl137,zip_derived_cl46,zip_derived_cl136,zip_derived_cl45,zip_derived_cl172,zip_derived_cl243]) ).
thf(zip_derived_cl1_1173,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('162',plain,
( ( sk_ != n5 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5100,zip_derived_cl1]) ).
thf(zip_derived_cl432_1174,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1827_1175,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl616]) ).
thf(zip_derived_cl1833,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_cl432,zip_derived_cl1827]) ).
thf(zip_derived_cl136_1176,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1177,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_1178,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1179,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl155_1180,plain,
( ( sum @ n6 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl225_1181,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4559,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n5 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1833,zip_derived_cl136,zip_derived_cl45,zip_derived_cl135,zip_derived_cl44,zip_derived_cl155,zip_derived_cl225]) ).
thf(zip_derived_cl4_1182,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('163',plain,
( ( sk__1 != n6 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4559,zip_derived_cl4]) ).
thf(zip_derived_cl432_1183,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1574_1184,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl615]) ).
thf(zip_derived_cl1586,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_cl432,zip_derived_cl1574]) ).
thf(zip_derived_cl135_1185,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1186,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_1187,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1188,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138_1189,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl223_1190,plain,
( ( sum @ n10 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4241,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n5 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1586,zip_derived_cl135,zip_derived_cl44,zip_derived_cl134,zip_derived_cl43,zip_derived_cl138,zip_derived_cl223]) ).
thf(zip_derived_cl7_1191,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('164',plain,
( ( sk__1 != n5 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4241,zip_derived_cl7]) ).
thf(zip_derived_cl432_1192,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1318_1193,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl614]) ).
thf(zip_derived_cl1333,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_cl432,zip_derived_cl1318]) ).
thf(zip_derived_cl134_1194,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1195,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl133_1196,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_1197,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121_1198,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4034,plain,
( ( sk__2
= ( sum @ n9 @ n12 ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1333,zip_derived_cl134,zip_derived_cl43,zip_derived_cl133,zip_derived_cl42,zip_derived_cl121]) ).
thf(zip_derived_cl205_1199,plain,
( ( sum @ n9 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4054,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n5 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4034,zip_derived_cl205]) ).
thf(zip_derived_cl10_1200,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('165',plain,
( ( sk_ != n5 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4054,zip_derived_cl10]) ).
thf(zip_derived_cl432_1201,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1108_1202,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl613]) ).
thf(zip_derived_cl1120,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_cl432,zip_derived_cl1108]) ).
thf(zip_derived_cl133_1203,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_1204,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_1205,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1206,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3907,plain,
( ( sk__2
= ( sum @ n8 @ n10 ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl133,zip_derived_cl42,zip_derived_cl132,zip_derived_cl41,zip_derived_cl104]) ).
thf(zip_derived_cl187_1207,plain,
( ( sum @ n8 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3964,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n5 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3907,zip_derived_cl187]) ).
thf(zip_derived_cl13_1208,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('166',plain,
( ( sk_ != n5 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3964,zip_derived_cl13]) ).
thf(zip_derived_cl441_1209,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2775_1210,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl785,zip_derived_cl32]) ).
thf(zip_derived_cl2790,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n14 @ n15 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl441,zip_derived_cl2775]) ).
thf(zip_derived_cl273_1211,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1212,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_1213,plain,
( ( sum @ n14 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1214,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl301_1215,plain,
( ( sum @ n15 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268_1216,plain,
( ( sum @ n13 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5684,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n14 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2790,zip_derived_cl273,zip_derived_cl47,zip_derived_cl288,zip_derived_cl46,zip_derived_cl301,zip_derived_cl268]) ).
thf(zip_derived_cl7_1217,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('167',plain,
( ( sk__1 != n15 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5684,zip_derived_cl7]) ).
thf(zip_derived_cl439_1218,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2775_1219,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl785,zip_derived_cl32]) ).
thf(zip_derived_cl2788,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n12 @ n15 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl439,zip_derived_cl2775]) ).
thf(zip_derived_cl241_1220,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1221,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_1222,plain,
( ( sum @ n12 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1223,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_1224,plain,
( ( sum @ n15 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234_1225,plain,
( ( sum @ n11 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5678,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n12 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2788,zip_derived_cl241,zip_derived_cl45,zip_derived_cl256,zip_derived_cl44,zip_derived_cl299,zip_derived_cl234]) ).
thf(zip_derived_cl11_1226,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('168',plain,
( ( sk__1 != n15 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5678,zip_derived_cl11]) ).
thf(zip_derived_cl438_1227,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2775_1228,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl785,zip_derived_cl32]) ).
thf(zip_derived_cl2787,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n11 @ n15 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl438,zip_derived_cl2775]) ).
thf(zip_derived_cl225_1229,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1230,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl240_1231,plain,
( ( sum @ n11 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1232,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl298_1233,plain,
( ( sum @ n15 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl217_1234,plain,
( ( sum @ n10 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5676,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n11 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2787,zip_derived_cl225,zip_derived_cl44,zip_derived_cl240,zip_derived_cl43,zip_derived_cl298,zip_derived_cl217]) ).
thf(zip_derived_cl13_1235,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('169',plain,
( ( sk__1 != n15 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5676,zip_derived_cl13]) ).
thf(zip_derived_cl437_1236,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2775_1237,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl785,zip_derived_cl32]) ).
thf(zip_derived_cl2786,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n10 @ n15 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl437,zip_derived_cl2775]) ).
thf(zip_derived_cl209_1238,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1239,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_1240,plain,
( ( sum @ n10 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_1241,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_1242,plain,
( ( sum @ n15 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_1243,plain,
( ( sum @ n9 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5674,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n10 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2786,zip_derived_cl209,zip_derived_cl43,zip_derived_cl224,zip_derived_cl42,zip_derived_cl297,zip_derived_cl200]) ).
thf(zip_derived_cl15_1244,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('170',plain,
( ( sk__1 != n15 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5674,zip_derived_cl15]) ).
thf(zip_derived_cl436_1245,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2775_1246,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl785,zip_derived_cl32]) ).
thf(zip_derived_cl2785,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n9 @ n15 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl436,zip_derived_cl2775]) ).
thf(zip_derived_cl193_1247,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_1248,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl208_1249,plain,
( ( sum @ n9 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1250,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl296_1251,plain,
( ( sum @ n15 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl183_1252,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5672,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n9 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2785,zip_derived_cl193,zip_derived_cl42,zip_derived_cl208,zip_derived_cl41,zip_derived_cl296,zip_derived_cl183]) ).
thf(zip_derived_cl1_1253,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('171',plain,
( ( sk__1 != n15 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5672,zip_derived_cl1]) ).
thf(zip_derived_cl435_1254,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2775_1255,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl785,zip_derived_cl32]) ).
thf(zip_derived_cl2784,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n8 @ n15 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl435,zip_derived_cl2775]) ).
thf(zip_derived_cl177_1256,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1257,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_1258,plain,
( ( sum @ n8 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1259,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl295_1260,plain,
( ( sum @ n15 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166_1261,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5670,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n8 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2784,zip_derived_cl177,zip_derived_cl41,zip_derived_cl192,zip_derived_cl40,zip_derived_cl295,zip_derived_cl166]) ).
thf(zip_derived_cl3_1262,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('172',plain,
( ( sk__1 != n15 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5670,zip_derived_cl3]) ).
thf(zip_derived_cl434_1263,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2775_1264,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl785,zip_derived_cl32]) ).
thf(zip_derived_cl2783,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n7 @ n15 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl434,zip_derived_cl2775]) ).
thf(zip_derived_cl161_1265,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1266,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_1267,plain,
( ( sum @ n7 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_1268,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl294_1269,plain,
( ( sum @ n15 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149_1270,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5668,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n7 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2783,zip_derived_cl161,zip_derived_cl40,zip_derived_cl176,zip_derived_cl39,zip_derived_cl294,zip_derived_cl149]) ).
thf(zip_derived_cl5_1271,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('173',plain,
( ( sk__1 != n15 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5668,zip_derived_cl5]) ).
thf(zip_derived_cl433_1272,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2775_1273,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl785,zip_derived_cl32]) ).
thf(zip_derived_cl2782,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n6 @ n15 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl433,zip_derived_cl2775]) ).
thf(zip_derived_cl145_1274,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_1275,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_1276,plain,
( ( sum @ n6 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_1277,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl293_1278,plain,
( ( sum @ n15 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_1279,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5666,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n6 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2782,zip_derived_cl145,zip_derived_cl39,zip_derived_cl160,zip_derived_cl38,zip_derived_cl293,zip_derived_cl132]) ).
thf(zip_derived_cl7_1280,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('174',plain,
( ( sk__1 != n15 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5666,zip_derived_cl7]) ).
thf(zip_derived_cl430_1281,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2775_1282,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl785,zip_derived_cl32]) ).
thf(zip_derived_cl2779,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n0 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n3 @ n15 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl430,zip_derived_cl2775]) ).
thf(zip_derived_cl97_1283,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1284,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_1285,plain,
( ( sum @ n3 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_1286,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_1287,plain,
( ( sum @ n15 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_1288,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5658,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n3 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2779,zip_derived_cl97,zip_derived_cl36,zip_derived_cl112,zip_derived_cl35,zip_derived_cl290,zip_derived_cl81]) ).
thf(zip_derived_cl13_1289,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('175',plain,
( ( sk__1 != n15 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5658,zip_derived_cl13]) ).
thf(zip_derived_cl436_1290,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2704_1291,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl745,zip_derived_cl30]) ).
thf(zip_derived_cl2714,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_cl436,zip_derived_cl2704]) ).
thf(zip_derived_cl207_1292,plain,
( ( sum @ n9 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1293,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl206_1294,plain,
( ( sum @ n9 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_1295,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262_1296,plain,
( ( sum @ n13 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147_1297,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5532,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n9 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2714,zip_derived_cl207,zip_derived_cl40,zip_derived_cl206,zip_derived_cl39,zip_derived_cl262,zip_derived_cl147]) ).
thf(zip_derived_cl7_1298,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('176',plain,
( ( sk_ != n9 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5532,zip_derived_cl7]) ).
thf(zip_derived_cl436_1299,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2662_1300,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl29]) ).
thf(zip_derived_cl2672,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_cl436,zip_derived_cl2662]) ).
thf(zip_derived_cl206_1301,plain,
( ( sum @ n9 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_1302,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl205_1303,plain,
( ( sum @ n9 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_1304,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_1305,plain,
( ( sum @ n12 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl129_1306,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5460,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n9 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2672,zip_derived_cl206,zip_derived_cl39,zip_derived_cl205,zip_derived_cl38,zip_derived_cl245,zip_derived_cl129]) ).
thf(zip_derived_cl10_1307,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('177',plain,
( ( sk_ != n9 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5460,zip_derived_cl10]) ).
thf(zip_derived_cl436_1308,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2624_1309,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl28]) ).
thf(zip_derived_cl2634,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_cl436,zip_derived_cl2624]) ).
thf(zip_derived_cl205_1310,plain,
( ( sum @ n9 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_1311,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl204_1312,plain,
( ( sum @ n9 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1313,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228_1314,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127_1315,plain,
( ( sum @ n4 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5390,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n9 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2634,zip_derived_cl205,zip_derived_cl38,zip_derived_cl204,zip_derived_cl37,zip_derived_cl228,zip_derived_cl127]) ).
thf(zip_derived_cl13_1316,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('178',plain,
( ( sk_ != n9 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5390,zip_derived_cl13]) ).
thf(zip_derived_cl436_1317,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2589_1318,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl27]) ).
thf(zip_derived_cl2599,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_cl436,zip_derived_cl2589]) ).
thf(zip_derived_cl204_1319,plain,
( ( sum @ n9 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1320,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl203_1321,plain,
( ( sum @ n9 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1322,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl211_1323,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5320,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n9 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2599,zip_derived_cl204,zip_derived_cl37,zip_derived_cl203,zip_derived_cl36,zip_derived_cl211,zip_derived_cl109]) ).
thf(zip_derived_cl0_1324,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('179',plain,
( ( sk_ != n9 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5320,zip_derived_cl0]) ).
thf(zip_derived_cl436_1325,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2470_1326,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference(demod,[status(thm)],[zip_derived_cl665,zip_derived_cl24]) ).
thf(zip_derived_cl2480,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_cl436,zip_derived_cl2470]) ).
thf(zip_derived_cl201_1327,plain,
( ( sum @ n9 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_1328,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_1329,plain,
( ( sum @ n9 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1330,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_1331,plain,
( ( sum @ n7 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1332,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5108,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n9 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2480,zip_derived_cl201,zip_derived_cl34,zip_derived_cl200,zip_derived_cl33,zip_derived_cl176,zip_derived_cl55]) ).
thf(zip_derived_cl9_1333,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('180',plain,
( ( sk_ != n9 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5108,zip_derived_cl9]) ).
thf(zip_derived_cl436_1334,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1827_1335,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl616]) ).
thf(zip_derived_cl1837,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_cl436,zip_derived_cl1827]) ).
thf(zip_derived_cl200_1336,plain,
( ( sum @ n9 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1337,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl199_1338,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1339,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl159_1340,plain,
( ( sum @ n6 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4567,plain,
( ( sk__2
= ( sum @ n15 @ n4 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1837,zip_derived_cl200,zip_derived_cl33,zip_derived_cl199,zip_derived_cl48,zip_derived_cl159]) ).
thf(zip_derived_cl293_1341,plain,
( ( sum @ n15 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4646,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n9 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4567,zip_derived_cl293]) ).
thf(zip_derived_cl12_1342,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('181',plain,
( ( sk__1 != n6 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4646,zip_derived_cl12]) ).
thf(zip_derived_cl436_1343,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1574_1344,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl615]) ).
thf(zip_derived_cl1590,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_cl436,zip_derived_cl1574]) ).
thf(zip_derived_cl199_1345,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1346,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_1347,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1348,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142_1349,plain,
( ( sum @ n5 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4253,plain,
( ( sk__2
= ( sum @ n14 @ n2 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1590,zip_derived_cl199,zip_derived_cl48,zip_derived_cl198,zip_derived_cl47,zip_derived_cl142]) ).
thf(zip_derived_cl275_1350,plain,
( ( sum @ n14 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4500,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n9 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4253,zip_derived_cl275]) ).
thf(zip_derived_cl15_1351,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('182',plain,
( ( sk__1 != n5 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4500,zip_derived_cl15]) ).
thf(zip_derived_cl436_1352,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1318_1353,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl614]) ).
thf(zip_derived_cl1337,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_cl436,zip_derived_cl1318]) ).
thf(zip_derived_cl198_1354,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1355,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl197_1356,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1357,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl125_1358,plain,
( ( sum @ n4 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4040,plain,
( ( sk__2
= ( sum @ n13 @ n0 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1337,zip_derived_cl198,zip_derived_cl47,zip_derived_cl197,zip_derived_cl46,zip_derived_cl125]) ).
thf(zip_derived_cl257_1359,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4364,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n9 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4040,zip_derived_cl257]) ).
thf(zip_derived_cl2_1360,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('183',plain,
( ( sk_ != n9 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4364,zip_derived_cl2]) ).
thf(zip_derived_cl197_1361,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436_1362,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1108_1363,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl613]) ).
thf(zip_derived_cl1124,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_cl436,zip_derived_cl1108]) ).
thf(zip_derived_cl4022,plain,
( ( sk__2
= ( sum @ ( pred @ n13 ) @ ( sum @ n3 @ ( pred @ ( sum @ n9 @ n3 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl197,zip_derived_cl1124]) ).
thf(zip_derived_cl46_1364,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl196_1365,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1366,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_1367,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4024,plain,
( ( sk__2
= ( sum @ n12 @ n14 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4022,zip_derived_cl46,zip_derived_cl196,zip_derived_cl45,zip_derived_cl108]) ).
thf(zip_derived_cl255_1368,plain,
( ( sum @ n12 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4345,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n9 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4024,zip_derived_cl255]) ).
thf(zip_derived_cl5_1369,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('184',plain,
( ( sk_ != n9 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4345,zip_derived_cl5]) ).
thf(zip_derived_cl441_1370,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2624_1371,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl28]) ).
thf(zip_derived_cl2639,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_cl441,zip_derived_cl2624]) ).
thf(zip_derived_cl285_1372,plain,
( ( sum @ n14 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1373,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl284_1374,plain,
( ( sum @ n14 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_1375,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl233_1376,plain,
( ( sum @ n11 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl196_1377,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5402,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n14 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2639,zip_derived_cl285,zip_derived_cl43,zip_derived_cl284,zip_derived_cl42,zip_derived_cl233,zip_derived_cl196]) ).
thf(zip_derived_cl3_1378,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('185',plain,
( ( sk__1 != n11 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5402,zip_derived_cl3]) ).
thf(zip_derived_cl439_1379,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2624_1380,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl28]) ).
thf(zip_derived_cl2637,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_cl439,zip_derived_cl2624]) ).
thf(zip_derived_cl253_1381,plain,
( ( sum @ n12 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1382,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl252_1383,plain,
( ( sum @ n12 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1384,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl231_1385,plain,
( ( sum @ n11 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_1386,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5398,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n12 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2637,zip_derived_cl253,zip_derived_cl41,zip_derived_cl252,zip_derived_cl40,zip_derived_cl231,zip_derived_cl162]) ).
thf(zip_derived_cl7_1387,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('186',plain,
( ( sk__1 != n11 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5398,zip_derived_cl7]) ).
thf(zip_derived_cl438_1388,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2624_1389,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl28]) ).
thf(zip_derived_cl2636,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_cl438,zip_derived_cl2624]) ).
thf(zip_derived_cl237_1390,plain,
( ( sum @ n11 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1391,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl236_1392,plain,
( ( sum @ n11 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_1393,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230_1394,plain,
( ( sum @ n11 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145_1395,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5394,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n11 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2636,zip_derived_cl237,zip_derived_cl40,zip_derived_cl236,zip_derived_cl39,zip_derived_cl230,zip_derived_cl145]) ).
thf(zip_derived_cl9_1396,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('187',plain,
( ( sk__1 != n11 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5394,zip_derived_cl9]) ).
thf(zip_derived_cl437_1397,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2624_1398,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl28]) ).
thf(zip_derived_cl2635,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_cl437,zip_derived_cl2624]) ).
thf(zip_derived_cl221,plain,
( ( sum @ n10 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_1399,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_1400,plain,
( ( sum @ n10 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_1401,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl229_1402,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144_1403,plain,
( ( sum @ n5 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5392,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n10 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2635,zip_derived_cl221,zip_derived_cl39,zip_derived_cl220,zip_derived_cl38,zip_derived_cl229,zip_derived_cl144]) ).
thf(zip_derived_cl11_1404,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('188',plain,
( ( sk__1 != n11 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5392,zip_derived_cl11]) ).
thf(zip_derived_cl435_1405,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2624_1406,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl28]) ).
thf(zip_derived_cl2633,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_cl435,zip_derived_cl2624]) ).
thf(zip_derived_cl189_1407,plain,
( ( sum @ n8 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1408,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl188_1409,plain,
( ( sum @ n8 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1410,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227_1411,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110,plain,
( ( sum @ n3 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5388,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n8 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2633,zip_derived_cl189,zip_derived_cl37,zip_derived_cl188,zip_derived_cl36,zip_derived_cl227,zip_derived_cl110]) ).
thf(zip_derived_cl15_1412,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('189',plain,
( ( sk__1 != n11 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5388,zip_derived_cl15]) ).
thf(zip_derived_cl434_1413,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2624_1414,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl28]) ).
thf(zip_derived_cl2632,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_cl434,zip_derived_cl2624]) ).
thf(zip_derived_cl173_1415,plain,
( ( sum @ n7 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1416,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172_1417,plain,
( ( sum @ n7 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_1418,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_1419,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_1420,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5386,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n7 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2632,zip_derived_cl173,zip_derived_cl36,zip_derived_cl172,zip_derived_cl35,zip_derived_cl226,zip_derived_cl93]) ).
thf(zip_derived_cl1_1421,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('190',plain,
( ( sk__1 != n11 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5386,zip_derived_cl1]) ).
thf(zip_derived_cl433_1422,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2624_1423,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl28]) ).
thf(zip_derived_cl2631,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_cl433,zip_derived_cl2624]) ).
thf(zip_derived_cl157_1424,plain,
( ( sum @ n6 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_1425,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_1426,plain,
( ( sum @ n6 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_1427,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl225_1428,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1429,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5384,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n6 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl157,zip_derived_cl35,zip_derived_cl156,zip_derived_cl34,zip_derived_cl225,zip_derived_cl76]) ).
thf(zip_derived_cl3_1430,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('191',plain,
( ( sk__1 != n11 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5384,zip_derived_cl3]) ).
thf(zip_derived_cl430_1431,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2624_1432,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl28]) ).
thf(zip_derived_cl2628,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_cl430,zip_derived_cl2624]) ).
thf(zip_derived_cl109_1433,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1434,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_1435,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1436,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl238,plain,
( ( sum @ n11 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl281_1437,plain,
( ( sum @ n14 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5378,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n3 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2628,zip_derived_cl109,zip_derived_cl48,zip_derived_cl108,zip_derived_cl47,zip_derived_cl238,zip_derived_cl281]) ).
thf(zip_derived_cl9_1438,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('192',plain,
( ( sk__1 != n11 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5378,zip_derived_cl9]) ).
thf(zip_derived_cl434_1439,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2704_1440,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl745,zip_derived_cl30]) ).
thf(zip_derived_cl2712,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_cl434,zip_derived_cl2704]) ).
thf(zip_derived_cl175_1441,plain,
( ( sum @ n7 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_1442,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174_1443,plain,
( ( sum @ n7 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1444,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl260_1445,plain,
( ( sum @ n13 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113_1446,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5526,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n7 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2712,zip_derived_cl175,zip_derived_cl38,zip_derived_cl174,zip_derived_cl37,zip_derived_cl260,zip_derived_cl113]) ).
thf(zip_derived_cl11_1447,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('193',plain,
( ( sk_ != n7 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5526,zip_derived_cl11]) ).
thf(zip_derived_cl434_1448,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2662_1449,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl29]) ).
thf(zip_derived_cl2670,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_cl434,zip_derived_cl2662]) ).
thf(zip_derived_cl174_1450,plain,
( ( sum @ n7 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1451,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl173_1452,plain,
( ( sum @ n7 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1453,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_1454,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111_1455,plain,
( ( sum @ n3 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5456,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n7 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2670,zip_derived_cl174,zip_derived_cl37,zip_derived_cl173,zip_derived_cl36,zip_derived_cl243,zip_derived_cl111]) ).
thf(zip_derived_cl14_1456,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('194',plain,
( ( sk_ != n7 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5456,zip_derived_cl14]) ).
thf(zip_derived_cl434_1457,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2589_1458,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl27]) ).
thf(zip_derived_cl2597,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_cl434,zip_derived_cl2589]) ).
thf(zip_derived_cl172_1459,plain,
( ( sum @ n7 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_1460,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl171_1461,plain,
( ( sum @ n7 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_1462,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl209_1463,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_1464,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5316,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n7 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl172,zip_derived_cl35,zip_derived_cl171,zip_derived_cl34,zip_derived_cl209,zip_derived_cl75]) ).
thf(zip_derived_cl4_1465,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('195',plain,
( ( sk_ != n7 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5316,zip_derived_cl4]) ).
thf(zip_derived_cl434_1466,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2470_1467,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference(demod,[status(thm)],[zip_derived_cl665,zip_derived_cl24]) ).
thf(zip_derived_cl2478,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_cl434,zip_derived_cl2470]) ).
thf(zip_derived_cl169_1468,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1469,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168_1470,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1471,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174_1472,plain,
( ( sum @ n7 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl277_1473,plain,
( ( sum @ n14 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5104,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n7 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2478,zip_derived_cl169,zip_derived_cl48,zip_derived_cl168,zip_derived_cl47,zip_derived_cl174,zip_derived_cl277]) ).
thf(zip_derived_cl13_1474,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('196',plain,
( ( sk_ != n7 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5104,zip_derived_cl13]) ).
thf(zip_derived_cl434_1475,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1827_1476,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl616]) ).
thf(zip_derived_cl1835,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_cl434,zip_derived_cl1827]) ).
thf(zip_derived_cl168_1477,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1478,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl167_1479,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1480,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl157_1481,plain,
( ( sum @ n6 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl259_1482,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4563,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n7 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1835,zip_derived_cl168,zip_derived_cl47,zip_derived_cl167,zip_derived_cl46,zip_derived_cl157,zip_derived_cl259]) ).
thf(zip_derived_cl0_1483,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('197',plain,
( ( sk__1 != n6 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4563,zip_derived_cl0]) ).
thf(zip_derived_cl434_1484,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1574_1485,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl615]) ).
thf(zip_derived_cl1588,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_cl434,zip_derived_cl1574]) ).
thf(zip_derived_cl167_1486,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1487,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166_1488,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1489,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140_1490,plain,
( ( sum @ n5 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4244,plain,
( ( sk__2
= ( sum @ n12 @ n0 ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1588,zip_derived_cl167,zip_derived_cl46,zip_derived_cl166,zip_derived_cl45,zip_derived_cl140]) ).
thf(zip_derived_cl241_1491,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4264,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n7 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4244,zip_derived_cl241]) ).
thf(zip_derived_cl3_1492,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('198',plain,
( ( sk__1 != n5 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4264,zip_derived_cl3]) ).
thf(zip_derived_cl434_1493,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1318_1494,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl614]) ).
thf(zip_derived_cl1335,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_cl434,zip_derived_cl1318]) ).
thf(zip_derived_cl166_1495,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1496,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl165_1497,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1498,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl123_1499,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4038,plain,
( ( sk__2
= ( sum @ n11 @ n14 ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1335,zip_derived_cl166,zip_derived_cl45,zip_derived_cl165,zip_derived_cl44,zip_derived_cl123]) ).
thf(zip_derived_cl239_1500,plain,
( ( sum @ n11 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4251,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n7 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4038,zip_derived_cl239]) ).
thf(zip_derived_cl6_1501,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('199',plain,
( ( sk_ != n7 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4251,zip_derived_cl6]) ).
thf(zip_derived_cl434_1502,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1108_1503,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl613]) ).
thf(zip_derived_cl1122,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_cl434,zip_derived_cl1108]) ).
thf(zip_derived_cl165_1504,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1505,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1506,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1507,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106_1508,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3909,plain,
( ( sk__2
= ( sum @ n10 @ n12 ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1122,zip_derived_cl165,zip_derived_cl44,zip_derived_cl164,zip_derived_cl43,zip_derived_cl106]) ).
thf(zip_derived_cl221_1509,plain,
( ( sum @ n10 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4139,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n7 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3909,zip_derived_cl221]) ).
thf(zip_derived_cl9_1510,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('200',plain,
( ( sk_ != n7 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4139,zip_derived_cl9]) ).
thf(zip_derived_cl441_1511,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2662_1512,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl29]) ).
thf(zip_derived_cl2677,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_cl441,zip_derived_cl2662]) ).
thf(zip_derived_cl286_1513,plain,
( ( sum @ n14 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1514,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl285_1515,plain,
( ( sum @ n14 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1516,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl250_1517,plain,
( ( sum @ n12 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5472,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n14 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2677,zip_derived_cl286,zip_derived_cl44,zip_derived_cl285,zip_derived_cl43,zip_derived_cl250,zip_derived_cl214]) ).
thf(zip_derived_cl0_1518,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('201',plain,
( ( sk__1 != n12 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5472,zip_derived_cl0]) ).
thf(zip_derived_cl439_1519,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2662_1520,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl29]) ).
thf(zip_derived_cl2675,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_cl439,zip_derived_cl2662]) ).
thf(zip_derived_cl254_1521,plain,
( ( sum @ n12 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_1522,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl253_1523,plain,
( ( sum @ n12 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1524,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl248_1525,plain,
( ( sum @ n12 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180_1526,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5468,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n12 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2675,zip_derived_cl254,zip_derived_cl42,zip_derived_cl253,zip_derived_cl41,zip_derived_cl248,zip_derived_cl180]) ).
thf(zip_derived_cl4_1527,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('202',plain,
( ( sk__1 != n12 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5468,zip_derived_cl4]) ).
thf(zip_derived_cl438_1528,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2662_1529,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl29]) ).
thf(zip_derived_cl2674,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_cl438,zip_derived_cl2662]) ).
thf(zip_derived_cl238_1530,plain,
( ( sum @ n11 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1531,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl237_1532,plain,
( ( sum @ n11 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1533,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl247_1534,plain,
( ( sum @ n12 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl163_1535,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5466,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n11 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2674,zip_derived_cl238,zip_derived_cl41,zip_derived_cl237,zip_derived_cl40,zip_derived_cl247,zip_derived_cl163]) ).
thf(zip_derived_cl6_1536,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('203',plain,
( ( sk__1 != n12 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5466,zip_derived_cl6]) ).
thf(zip_derived_cl437_1537,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2662_1538,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl29]) ).
thf(zip_derived_cl2673,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_cl437,zip_derived_cl2662]) ).
thf(zip_derived_cl222_1539,plain,
( ( sum @ n10 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1540,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221_1541,plain,
( ( sum @ n10 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_1542,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl246_1543,plain,
( ( sum @ n12 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl146_1544,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5464,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n10 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2673,zip_derived_cl222,zip_derived_cl40,zip_derived_cl221,zip_derived_cl39,zip_derived_cl246,zip_derived_cl146]) ).
thf(zip_derived_cl8_1545,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('204',plain,
( ( sk__1 != n12 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5464,zip_derived_cl8]) ).
thf(zip_derived_cl435_1546,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2662_1547,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl29]) ).
thf(zip_derived_cl2671,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_cl435,zip_derived_cl2662]) ).
thf(zip_derived_cl190_1548,plain,
( ( sum @ n8 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_1549,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_1550,plain,
( ( sum @ n8 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1551,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_1552,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_1553,plain,
( ( sum @ n4 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5458,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n8 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2671,zip_derived_cl190,zip_derived_cl38,zip_derived_cl189,zip_derived_cl37,zip_derived_cl244,zip_derived_cl128]) ).
thf(zip_derived_cl12_1554,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('205',plain,
( ( sk__1 != n12 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5458,zip_derived_cl12]) ).
thf(zip_derived_cl433_1555,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2662_1556,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl29]) ).
thf(zip_derived_cl2669,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_cl433,zip_derived_cl2662]) ).
thf(zip_derived_cl158_1557,plain,
( ( sum @ n6 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1558,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl157_1559,plain,
( ( sum @ n6 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_1560,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_1561,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94_1562,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5454,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n6 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2669,zip_derived_cl158,zip_derived_cl36,zip_derived_cl157,zip_derived_cl35,zip_derived_cl242,zip_derived_cl94]) ).
thf(zip_derived_cl0_1563,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('206',plain,
( ( sk__1 != n12 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5454,zip_derived_cl0]) ).
thf(zip_derived_cl430_1564,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2662_1565,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl29]) ).
thf(zip_derived_cl2666,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_cl430,zip_derived_cl2662]) ).
thf(zip_derived_cl110_1566,plain,
( ( sum @ n3 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1567,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109_1568,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1569,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl255_1570,plain,
( ( sum @ n12 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_1571,plain,
( ( sum @ n15 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5448,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n3 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2666,zip_derived_cl110,zip_derived_cl33,zip_derived_cl109,zip_derived_cl48,zip_derived_cl255,zip_derived_cl299]) ).
thf(zip_derived_cl6_1572,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('207',plain,
( ( sk__1 != n12 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5448,zip_derived_cl6]) ).
thf(zip_derived_cl435_1573,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2704_1574,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl745,zip_derived_cl30]) ).
thf(zip_derived_cl2713,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_cl435,zip_derived_cl2704]) ).
thf(zip_derived_cl191_1575,plain,
( ( sum @ n8 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_1576,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl190_1577,plain,
( ( sum @ n8 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_1578,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl261_1579,plain,
( ( sum @ n13 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_1580,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5530,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n8 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2713,zip_derived_cl191,zip_derived_cl39,zip_derived_cl190,zip_derived_cl38,zip_derived_cl261,zip_derived_cl130]) ).
thf(zip_derived_cl9_1581,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('208',plain,
( ( sk_ != n8 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5530,zip_derived_cl9]) ).
thf(zip_derived_cl435_1582,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2589_1583,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl27]) ).
thf(zip_derived_cl2598,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_cl435,zip_derived_cl2589]) ).
thf(zip_derived_cl188_1584,plain,
( ( sum @ n8 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1585,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl187_1586,plain,
( ( sum @ n8 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_1587,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210_1588,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_1589,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5318,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n8 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2598,zip_derived_cl188,zip_derived_cl36,zip_derived_cl187,zip_derived_cl35,zip_derived_cl210,zip_derived_cl92]) ).
thf(zip_derived_cl2_1590,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('209',plain,
( ( sk_ != n8 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5318,zip_derived_cl2]) ).
thf(zip_derived_cl435_1591,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2470_1592,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference(demod,[status(thm)],[zip_derived_cl665,zip_derived_cl24]) ).
thf(zip_derived_cl2479,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_cl435,zip_derived_cl2470]) ).
thf(zip_derived_cl185_1593,plain,
( ( sum @ n8 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1594,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl184_1595,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1596,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl175_1597,plain,
( ( sum @ n7 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl294_1598,plain,
( ( sum @ n15 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5106,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n8 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2479,zip_derived_cl185,zip_derived_cl33,zip_derived_cl184,zip_derived_cl48,zip_derived_cl175,zip_derived_cl294]) ).
thf(zip_derived_cl11_1599,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('210',plain,
( ( sk_ != n8 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5106,zip_derived_cl11]) ).
thf(zip_derived_cl435_1600,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1827_1601,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl616]) ).
thf(zip_derived_cl1836,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_cl435,zip_derived_cl1827]) ).
thf(zip_derived_cl184_1602,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1603,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl183_1604,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1605,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158_1606,plain,
( ( sum @ n6 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276_1607,plain,
( ( sum @ n14 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4565,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n8 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1836,zip_derived_cl184,zip_derived_cl48,zip_derived_cl183,zip_derived_cl47,zip_derived_cl158,zip_derived_cl276]) ).
thf(zip_derived_cl14_1608,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('211',plain,
( ( sk__1 != n6 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4565,zip_derived_cl14]) ).
thf(zip_derived_cl435_1609,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1574_1610,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl615]) ).
thf(zip_derived_cl1589,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_cl435,zip_derived_cl1574]) ).
thf(zip_derived_cl183_1611,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1612,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182_1613,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1614,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141_1615,plain,
( ( sum @ n5 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4246,plain,
( ( sk__2
= ( sum @ n13 @ n1 ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1589,zip_derived_cl183,zip_derived_cl47,zip_derived_cl182,zip_derived_cl46,zip_derived_cl141]) ).
thf(zip_derived_cl258_1616,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4373,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n8 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4246,zip_derived_cl258]) ).
thf(zip_derived_cl1_1617,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('212',plain,
( ( sk__1 != n5 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4373,zip_derived_cl1]) ).
thf(zip_derived_cl435_1618,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1318_1619,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl614]) ).
thf(zip_derived_cl1336,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_cl435,zip_derived_cl1318]) ).
thf(zip_derived_cl182_1620,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1621,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl181_1622,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1623,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124_1624,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4039,plain,
( ( sk__2
= ( sum @ n12 @ n15 ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1336,zip_derived_cl182,zip_derived_cl46,zip_derived_cl181,zip_derived_cl45,zip_derived_cl124]) ).
thf(zip_derived_cl256_1625,plain,
( ( sum @ n12 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4353,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n8 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4039,zip_derived_cl256]) ).
thf(zip_derived_cl4_1626,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('213',plain,
( ( sk_ != n8 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4353,zip_derived_cl4]) ).
thf(zip_derived_cl181_1627,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl435_1628,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1108_1629,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl613]) ).
thf(zip_derived_cl1123,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_cl435,zip_derived_cl1108]) ).
thf(zip_derived_cl3942,plain,
( ( sk__2
= ( sum @ ( pred @ n12 ) @ ( sum @ n3 @ ( pred @ ( sum @ n8 @ n3 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl181,zip_derived_cl1123]) ).
thf(zip_derived_cl45_1630,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180_1631,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1632,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107_1633,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3943,plain,
( ( sk__2
= ( sum @ n11 @ n13 ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3942,zip_derived_cl45,zip_derived_cl180,zip_derived_cl44,zip_derived_cl107]) ).
thf(zip_derived_cl238_1634,plain,
( ( sum @ n11 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4249,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n8 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3943,zip_derived_cl238]) ).
thf(zip_derived_cl7_1635,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('214',plain,
( ( sk_ != n8 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4249,zip_derived_cl7]) ).
thf(zip_derived_cl441_1636,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2704_1637,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl745,zip_derived_cl30]) ).
thf(zip_derived_cl2719,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_cl441,zip_derived_cl2704]) ).
thf(zip_derived_cl287_1638,plain,
( ( sum @ n14 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1639,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_1640,plain,
( ( sum @ n14 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1641,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl267_1642,plain,
( ( sum @ n13 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232_1643,plain,
( ( sum @ n11 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5542,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n14 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2719,zip_derived_cl287,zip_derived_cl45,zip_derived_cl286,zip_derived_cl44,zip_derived_cl267,zip_derived_cl232]) ).
thf(zip_derived_cl13_1644,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('215',plain,
( ( sk__1 != n13 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5542,zip_derived_cl13]) ).
thf(zip_derived_cl439_1645,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2704_1646,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl745,zip_derived_cl30]) ).
thf(zip_derived_cl2717,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_cl439,zip_derived_cl2704]) ).
thf(zip_derived_cl255_1647,plain,
( ( sum @ n12 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1648,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl254_1649,plain,
( ( sum @ n12 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_1650,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl265_1651,plain,
( ( sum @ n13 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_1652,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5538,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n12 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2717,zip_derived_cl255,zip_derived_cl43,zip_derived_cl254,zip_derived_cl42,zip_derived_cl265,zip_derived_cl198]) ).
thf(zip_derived_cl1_1653,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('216',plain,
( ( sk__1 != n13 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5538,zip_derived_cl1]) ).
thf(zip_derived_cl438_1654,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2704_1655,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl745,zip_derived_cl30]) ).
thf(zip_derived_cl2716,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_cl438,zip_derived_cl2704]) ).
thf(zip_derived_cl239_1656,plain,
( ( sum @ n11 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_1657,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl238_1658,plain,
( ( sum @ n11 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1659,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_1660,plain,
( ( sum @ n13 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl181_1661,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5536,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n11 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2716,zip_derived_cl239,zip_derived_cl42,zip_derived_cl238,zip_derived_cl41,zip_derived_cl264,zip_derived_cl181]) ).
thf(zip_derived_cl3_1662,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('217',plain,
( ( sk__1 != n13 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5536,zip_derived_cl3]) ).
thf(zip_derived_cl437_1663,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2704_1664,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl745,zip_derived_cl30]) ).
thf(zip_derived_cl2715,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_cl437,zip_derived_cl2704]) ).
thf(zip_derived_cl223_1665,plain,
( ( sum @ n10 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1666,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1667,plain,
( ( sum @ n10 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1668,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl263_1669,plain,
( ( sum @ n13 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1670,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5534,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n10 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2715,zip_derived_cl223,zip_derived_cl41,zip_derived_cl222,zip_derived_cl40,zip_derived_cl263,zip_derived_cl164]) ).
thf(zip_derived_cl5_1671,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('218',plain,
( ( sk__1 != n13 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5534,zip_derived_cl5]) ).
thf(zip_derived_cl433_1672,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2704_1673,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl745,zip_derived_cl30]) ).
thf(zip_derived_cl2711,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_cl433,zip_derived_cl2704]) ).
thf(zip_derived_cl159_1674,plain,
( ( sum @ n6 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1675,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158_1676,plain,
( ( sum @ n6 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1677,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl259_1678,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_1679,plain,
( ( sum @ n3 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5524,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n6 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2711,zip_derived_cl159,zip_derived_cl37,zip_derived_cl158,zip_derived_cl36,zip_derived_cl259,zip_derived_cl112]) ).
thf(zip_derived_cl13_1680,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('219',plain,
( ( sk__1 != n13 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5524,zip_derived_cl13]) ).
thf(zip_derived_cl430_1681,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2704_1682,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl745,zip_derived_cl30]) ).
thf(zip_derived_cl2708,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_cl430,zip_derived_cl2704]) ).
thf(zip_derived_cl111_1683,plain,
( ( sum @ n3 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_1684,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_1685,plain,
( ( sum @ n3 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1686,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_1687,plain,
( ( sum @ n13 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1688,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5518,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n3 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2708,zip_derived_cl111,zip_derived_cl34,zip_derived_cl110,zip_derived_cl33,zip_derived_cl272,zip_derived_cl61]) ).
thf(zip_derived_cl3_1689,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('220',plain,
( ( sk__1 != n13 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5518,zip_derived_cl3]) ).
thf(zip_derived_cl430_1690,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2589_1691,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl27]) ).
thf(zip_derived_cl2593,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_cl430,zip_derived_cl2589]) ).
thf(zip_derived_cl108_1692,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1693,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107_1694,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1695,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221_1696,plain,
( ( sum @ n10 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl263_1697,plain,
( ( sum @ n13 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5306,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n3 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2593,zip_derived_cl108,zip_derived_cl47,zip_derived_cl107,zip_derived_cl46,zip_derived_cl221,zip_derived_cl263]) ).
thf(zip_derived_cl12_1698,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('221',plain,
( ( sk_ != n3 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5306,zip_derived_cl12]) ).
thf(zip_derived_cl430_1699,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2470_1700,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference(demod,[status(thm)],[zip_derived_cl665,zip_derived_cl24]) ).
thf(zip_derived_cl2474,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_cl430,zip_derived_cl2470]) ).
thf(zip_derived_cl105_1701,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1702,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104_1703,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1704,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170_1705,plain,
( ( sum @ n7 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl209_1706,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5096,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n3 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl105,zip_derived_cl44,zip_derived_cl104,zip_derived_cl43,zip_derived_cl170,zip_derived_cl209]) ).
thf(zip_derived_cl5_1707,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('222',plain,
( ( sk_ != n3 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5096,zip_derived_cl5]) ).
thf(zip_derived_cl430_1708,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1827_1709,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl616]) ).
thf(zip_derived_cl1831,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_cl430,zip_derived_cl1827]) ).
thf(zip_derived_cl104_1710,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1711,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103_1712,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_1713,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl153_1714,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl207_1715,plain,
( ( sum @ n9 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4555,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n3 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1831,zip_derived_cl104,zip_derived_cl43,zip_derived_cl103,zip_derived_cl42,zip_derived_cl153,zip_derived_cl207]) ).
thf(zip_derived_cl8_1716,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('223',plain,
( ( sk__1 != n6 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4555,zip_derived_cl8]) ).
thf(zip_derived_cl430_1717,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1574_1718,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl615]) ).
thf(zip_derived_cl1584,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_cl430,zip_derived_cl1574]) ).
thf(zip_derived_cl103_1719,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_1720,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102_1721,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1722,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136_1723,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_1724,plain,
( ( sum @ n8 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4235,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n3 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1584,zip_derived_cl103,zip_derived_cl42,zip_derived_cl102,zip_derived_cl41,zip_derived_cl136,zip_derived_cl189]) ).
thf(zip_derived_cl11_1725,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('224',plain,
( ( sk__1 != n5 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4235,zip_derived_cl11]) ).
thf(zip_derived_cl430_1726,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1318_1727,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl614]) ).
thf(zip_derived_cl1331,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_cl430,zip_derived_cl1318]) ).
thf(zip_derived_cl102_1728,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1729,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101_1730,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1731,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119_1732,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl171_1733,plain,
( ( sum @ n7 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4030,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n3 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1331,zip_derived_cl102,zip_derived_cl41,zip_derived_cl101,zip_derived_cl40,zip_derived_cl119,zip_derived_cl171]) ).
thf(zip_derived_cl14_1734,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('225',plain,
( ( sk_ != n3 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4030,zip_derived_cl14]) ).
thf(zip_derived_cl430_1735,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1108_1736,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl613]) ).
thf(zip_derived_cl1118,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_cl430,zip_derived_cl1108]) ).
thf(zip_derived_cl101_1737,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1738,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100_1739,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_1740,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102_1741,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl153_1742,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3903,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n3 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1118,zip_derived_cl101,zip_derived_cl40,zip_derived_cl100,zip_derived_cl39,zip_derived_cl102,zip_derived_cl153]) ).
thf(zip_derived_cl1_1743,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('226',plain,
( ( sk_ != n3 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3903,zip_derived_cl1]) ).
thf(zip_derived_cl230_1744,plain,
( ( sum @ n11 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438_1745,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1318_1746,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl614]) ).
thf(zip_derived_cl1339,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_cl438,zip_derived_cl1318]) ).
thf(zip_derived_cl4197,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n4 @ ( pred @ ( sum @ n11 @ n4 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl230,zip_derived_cl1339]) ).
thf(zip_derived_cl33_1747,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl229_1748,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1749,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127_1750,plain,
( ( sum @ n4 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4198,plain,
( ( sk__2
= ( sum @ n15 @ n2 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4197,zip_derived_cl33,zip_derived_cl229,zip_derived_cl48,zip_derived_cl127]) ).
thf(zip_derived_cl291_1751,plain,
( ( sum @ n15 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4624,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n11 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4198,zip_derived_cl291]) ).
thf(zip_derived_cl14_1752,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('227',plain,
( ( sk__1 != n4 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4624,zip_derived_cl14]) ).
thf(zip_derived_cl278_1753,plain,
( ( sum @ n14 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl441_1754,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1318_1755,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl614]) ).
thf(zip_derived_cl1342,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_cl441,zip_derived_cl1318]) ).
thf(zip_derived_cl4529,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n4 @ ( pred @ ( sum @ n14 @ n4 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl278,zip_derived_cl1342]) ).
thf(zip_derived_cl36_1756,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl277_1757,plain,
( ( sum @ n14 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_1758,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114_1759,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_1760,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4532,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n14 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4529,zip_derived_cl36,zip_derived_cl277,zip_derived_cl35,zip_derived_cl114,zip_derived_cl86]) ).
thf(zip_derived_cl8_1761,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('228',plain,
( ( sk__1 != n4 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4532,zip_derived_cl8]) ).
thf(zip_derived_cl214_1762,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl437_1763,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1318_1764,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl614]) ).
thf(zip_derived_cl1338,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_cl437,zip_derived_cl1318]) ).
thf(zip_derived_cl4096,plain,
( ( sk__2
= ( sum @ ( pred @ n15 ) @ ( sum @ n4 @ ( pred @ ( sum @ n10 @ n4 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl214,zip_derived_cl1338]) ).
thf(zip_derived_cl48_1765,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl213_1766,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1767,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126_1768,plain,
( ( sum @ n4 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4097,plain,
( ( sk__2
= ( sum @ n14 @ n1 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4096,zip_derived_cl48,zip_derived_cl213,zip_derived_cl47,zip_derived_cl126]) ).
thf(zip_derived_cl274_1769,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4493,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n10 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4097,zip_derived_cl274]) ).
thf(zip_derived_cl0_1770,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('229',plain,
( ( sk__1 != n4 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4493,zip_derived_cl0]) ).
thf(zip_derived_cl246_1771,plain,
( ( sum @ n12 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl439_1772,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1318_1773,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl614]) ).
thf(zip_derived_cl1340,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_cl439,zip_derived_cl1318]) ).
thf(zip_derived_cl4291,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n4 @ ( pred @ ( sum @ n12 @ n4 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl246,zip_derived_cl1340]) ).
thf(zip_derived_cl34_1774,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_1775,plain,
( ( sum @ n12 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1776,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_1777,plain,
( ( sum @ n4 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_1778,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4293,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n12 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4291,zip_derived_cl34,zip_derived_cl245,zip_derived_cl33,zip_derived_cl128,zip_derived_cl52]) ).
thf(zip_derived_cl12_1779,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('230',plain,
( ( sk__1 != n4 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4293,zip_derived_cl12]) ).
thf(zip_derived_cl433_1780,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1318_1781,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl614]) ).
thf(zip_derived_cl1334,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_cl433,zip_derived_cl1318]) ).
thf(zip_derived_cl150_1782,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1783,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149_1784,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1785,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122_1786,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4035,plain,
( ( sk__2
= ( sum @ n10 @ n13 ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1334,zip_derived_cl150,zip_derived_cl44,zip_derived_cl149,zip_derived_cl43,zip_derived_cl122]) ).
thf(zip_derived_cl222_1787,plain,
( ( sum @ n10 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4149,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n6 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4035,zip_derived_cl222]) ).
thf(zip_derived_cl8_1788,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('231',plain,
( ( sk__1 != n4 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4149,zip_derived_cl8]) ).
thf(zip_derived_cl433_1789,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2589_1790,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl27]) ).
thf(zip_derived_cl2596,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_cl433,zip_derived_cl2589]) ).
thf(zip_derived_cl156_1791,plain,
( ( sum @ n6 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_1792,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl155_1793,plain,
( ( sum @ n6 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1794,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_1795,plain,
( ( sum @ n10 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1796,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5314,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n6 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2596,zip_derived_cl156,zip_derived_cl34,zip_derived_cl155,zip_derived_cl33,zip_derived_cl224,zip_derived_cl58]) ).
thf(zip_derived_cl6_1797,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('232',plain,
( ( sk_ != n6 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5314,zip_derived_cl6]) ).
thf(zip_derived_cl433_1798,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2470_1799,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference(demod,[status(thm)],[zip_derived_cl665,zip_derived_cl24]) ).
thf(zip_derived_cl2477,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_cl433,zip_derived_cl2470]) ).
thf(zip_derived_cl153_1800,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1801,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl152_1802,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1803,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl173_1804,plain,
( ( sum @ n7 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl260_1805,plain,
( ( sum @ n13 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5102,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n6 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2477,zip_derived_cl153,zip_derived_cl47,zip_derived_cl152,zip_derived_cl46,zip_derived_cl173,zip_derived_cl260]) ).
thf(zip_derived_cl15_1806,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('233',plain,
( ( sk_ != n6 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5102,zip_derived_cl15]) ).
thf(zip_derived_cl433_1807,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1827_1808,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl616]) ).
thf(zip_derived_cl1834,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_cl433,zip_derived_cl1827]) ).
thf(zip_derived_cl152_1809,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1810,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl151_1811,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1812,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_1813,plain,
( ( sum @ n6 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_1814,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4561,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n6 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1834,zip_derived_cl152,zip_derived_cl46,zip_derived_cl151,zip_derived_cl45,zip_derived_cl156,zip_derived_cl242]) ).
thf(zip_derived_cl2_1815,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('234',plain,
( ( sk__1 != n6 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4561,zip_derived_cl2]) ).
thf(zip_derived_cl433_1816,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1574_1817,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl615]) ).
thf(zip_derived_cl1587,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_cl433,zip_derived_cl1574]) ).
thf(zip_derived_cl151_1818,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1819,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl150_1820,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1821,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139_1822,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4243,plain,
( ( sk__2
= ( sum @ n11 @ n15 ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1587,zip_derived_cl151,zip_derived_cl45,zip_derived_cl150,zip_derived_cl44,zip_derived_cl139]) ).
thf(zip_derived_cl240_1823,plain,
( ( sum @ n11 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4261,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n6 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4243,zip_derived_cl240]) ).
thf(zip_derived_cl5_1824,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('235',plain,
( ( sk__1 != n5 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4261,zip_derived_cl5]) ).
thf(zip_derived_cl433_1825,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1108_1826,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl613]) ).
thf(zip_derived_cl1121,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_cl433,zip_derived_cl1108]) ).
thf(zip_derived_cl149_1827,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1828,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148_1829,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_1830,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl105_1831,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3908,plain,
( ( sk__2
= ( sum @ n9 @ n11 ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1121,zip_derived_cl149,zip_derived_cl43,zip_derived_cl148,zip_derived_cl42,zip_derived_cl105]) ).
thf(zip_derived_cl204_1832,plain,
( ( sum @ n9 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4046,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n6 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3908,zip_derived_cl204]) ).
thf(zip_derived_cl11_1833,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('236',plain,
( ( sk_ != n6 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4046,zip_derived_cl11]) ).
thf(zip_derived_cl437_1834,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2470_1835,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference(demod,[status(thm)],[zip_derived_cl665,zip_derived_cl24]) ).
thf(zip_derived_cl2481,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_cl437,zip_derived_cl2470]) ).
thf(zip_derived_cl217_1836,plain,
( ( sum @ n10 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_1837,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_1838,plain,
( ( sum @ n10 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_1839,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl161_1840,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1841,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5112,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n10 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2481,zip_derived_cl217,zip_derived_cl35,zip_derived_cl216,zip_derived_cl34,zip_derived_cl161,zip_derived_cl72]) ).
thf(zip_derived_cl7_1842,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('237',plain,
( ( sk__1 != n7 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5112,zip_derived_cl7]) ).
thf(zip_derived_cl450_1843,plain,
( ( sk__1 = n7 )
<= ( sk__1 = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl441_1844,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl16_1845,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_cl631,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n14 @ sk__1 ) ) ) ) )
<= ( sk_ = n14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl441,zip_derived_cl16]) ).
thf(zip_derived_cl2290,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ ( succ @ n7 ) ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n14 @ n7 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl450,zip_derived_cl631]) ).
thf(zip_derived_cl24_1846,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2338,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n14 @ n7 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2290,zip_derived_cl24]) ).
thf(zip_derived_cl281_1847,plain,
( ( sum @ n14 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_1848,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280_1849,plain,
( ( sum @ n14 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_1850,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl165_1851,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140_1852,plain,
( ( sum @ n5 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4992,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n14 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2338,zip_derived_cl281,zip_derived_cl39,zip_derived_cl280,zip_derived_cl38,zip_derived_cl165,zip_derived_cl140]) ).
thf(zip_derived_cl15_1853,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('238',plain,
( ( sk__1 != n7 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4992,zip_derived_cl15]) ).
thf(zip_derived_cl450_1854,plain,
( ( sk__1 = n7 )
<= ( sk__1 = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl439_1855,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl16_1856,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_cl629,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n12 @ sk__1 ) ) ) ) )
<= ( sk_ = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl439,zip_derived_cl16]) ).
thf(zip_derived_cl2146,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ ( succ @ n7 ) ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n12 @ n7 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl450,zip_derived_cl629]) ).
thf(zip_derived_cl24_1857,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2194,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n12 @ n7 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2146,zip_derived_cl24]) ).
thf(zip_derived_cl249_1858,plain,
( ( sum @ n12 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1859,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl248_1860,plain,
( ( sum @ n12 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1861,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl163_1862,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106_1863,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4886,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n12 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2194,zip_derived_cl249,zip_derived_cl37,zip_derived_cl248,zip_derived_cl36,zip_derived_cl163,zip_derived_cl106]) ).
thf(zip_derived_cl3_1864,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('239',plain,
( ( sk__1 != n7 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4886,zip_derived_cl3]) ).
thf(zip_derived_cl450_1865,plain,
( ( sk__1 = n7 )
<= ( sk__1 = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl438_1866,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl16_1867,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_cl628,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n11 @ sk__1 ) ) ) ) )
<= ( sk_ = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl438,zip_derived_cl16]) ).
thf(zip_derived_cl2074,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ ( succ @ n7 ) ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n11 @ n7 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl450,zip_derived_cl628]) ).
thf(zip_derived_cl24_1868,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2122,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n11 @ n7 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2074,zip_derived_cl24]) ).
thf(zip_derived_cl233_1869,plain,
( ( sum @ n11 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1870,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232_1871,plain,
( ( sum @ n11 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_1872,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_1873,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_1874,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4834,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n11 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2122,zip_derived_cl233,zip_derived_cl36,zip_derived_cl232,zip_derived_cl35,zip_derived_cl162,zip_derived_cl89]) ).
thf(zip_derived_cl5_1875,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('240',plain,
( ( sk__1 != n7 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4834,zip_derived_cl5]) ).
thf(zip_derived_cl437_1876,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2589_1877,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl27]) ).
thf(zip_derived_cl2600,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_cl437,zip_derived_cl2589]) ).
thf(zip_derived_cl220_1878,plain,
( ( sum @ n10 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_1879,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219_1880,plain,
( ( sum @ n10 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1881,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212_1882,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126_1883,plain,
( ( sum @ n4 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5322,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n10 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2600,zip_derived_cl220,zip_derived_cl38,zip_derived_cl219,zip_derived_cl37,zip_derived_cl212,zip_derived_cl126]) ).
thf(zip_derived_cl14_1884,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('241',plain,
( ( sk_ != n10 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5322,zip_derived_cl14]) ).
thf(zip_derived_cl437_1885,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1574_1886,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl615]) ).
thf(zip_derived_cl1591,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_cl437,zip_derived_cl1574]) ).
thf(zip_derived_cl215_1887,plain,
( ( sum @ n10 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1888,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214_1889,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1890,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143_1891,plain,
( ( sum @ n5 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4256,plain,
( ( sk__2
= ( sum @ n15 @ n3 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1591,zip_derived_cl215,zip_derived_cl33,zip_derived_cl214,zip_derived_cl48,zip_derived_cl143]) ).
thf(zip_derived_cl292_1892,plain,
( ( sum @ n15 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4637,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n10 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4256,zip_derived_cl292]) ).
thf(zip_derived_cl13_1893,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('242',plain,
( ( sk__1 != n5 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4637,zip_derived_cl13]) ).
thf(zip_derived_cl437_1894,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1827_1895,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl616]) ).
thf(zip_derived_cl1838,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_cl437,zip_derived_cl1827]) ).
thf(zip_derived_cl216_1896,plain,
( ( sum @ n10 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_1897,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl215_1898,plain,
( ( sum @ n10 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1899,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_1900,plain,
( ( sum @ n6 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1901,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4570,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n10 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1838,zip_derived_cl216,zip_derived_cl34,zip_derived_cl215,zip_derived_cl33,zip_derived_cl160,zip_derived_cl54]) ).
thf(zip_derived_cl10_1902,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('243',plain,
( ( sk__1 != n6 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4570,zip_derived_cl10]) ).
thf(zip_derived_cl213_1903,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl437_1904,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1108_1905,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl613]) ).
thf(zip_derived_cl1125,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_cl437,zip_derived_cl1108]) ).
thf(zip_derived_cl4090,plain,
( ( sk__2
= ( sum @ ( pred @ n14 ) @ ( sum @ n3 @ ( pred @ ( sum @ n10 @ n3 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl213,zip_derived_cl1125]) ).
thf(zip_derived_cl47_1906,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212_1907,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1908,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109_1909,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4093,plain,
( ( sk__2
= ( sum @ n13 @ n15 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4090,zip_derived_cl47,zip_derived_cl212,zip_derived_cl46,zip_derived_cl109]) ).
thf(zip_derived_cl272_1910,plain,
( ( sum @ n13 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4471,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n10 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4093,zip_derived_cl272]) ).
thf(zip_derived_cl3_1911,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('244',plain,
( ( sk_ != n10 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4471,zip_derived_cl3]) ).
thf(zip_derived_cl441_1912,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2589_1913,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl27]) ).
thf(zip_derived_cl2604,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_cl441,zip_derived_cl2589]) ).
thf(zip_derived_cl284_1914,plain,
( ( sum @ n14 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_1915,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl283_1916,plain,
( ( sum @ n14 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1917,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_1918,plain,
( ( sum @ n10 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_1919,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5332,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n14 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2604,zip_derived_cl284,zip_derived_cl42,zip_derived_cl283,zip_derived_cl41,zip_derived_cl216,zip_derived_cl178]) ).
thf(zip_derived_cl6_1920,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('245',plain,
( ( sk__1 != n10 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5332,zip_derived_cl6]) ).
thf(zip_derived_cl439_1921,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2589_1922,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl27]) ).
thf(zip_derived_cl2602,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_cl439,zip_derived_cl2589]) ).
thf(zip_derived_cl252_1923,plain,
( ( sum @ n12 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1924,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl251_1925,plain,
( ( sum @ n12 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_1926,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214_1927,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_1928,plain,
( ( sum @ n6 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5326,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n12 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2602,zip_derived_cl252,zip_derived_cl40,zip_derived_cl251,zip_derived_cl39,zip_derived_cl214,zip_derived_cl160]) ).
thf(zip_derived_cl10_1929,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('246',plain,
( ( sk__1 != n10 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5326,zip_derived_cl10]) ).
thf(zip_derived_cl438_1930,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl2589_1931,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl27]) ).
thf(zip_derived_cl2601,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_cl438,zip_derived_cl2589]) ).
thf(zip_derived_cl236_1932,plain,
( ( sum @ n11 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_1933,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl235_1934,plain,
( ( sum @ n11 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_1935,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl213_1936,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143_1937,plain,
( ( sum @ n5 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5324,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n11 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2601,zip_derived_cl236,zip_derived_cl39,zip_derived_cl235,zip_derived_cl38,zip_derived_cl213,zip_derived_cl143]) ).
thf(zip_derived_cl12_1938,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('247',plain,
( ( sk__1 != n10 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5324,zip_derived_cl12]) ).
thf(zip_derived_cl441_1939,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1827_1940,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl616]) ).
thf(zip_derived_cl1842,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_cl441,zip_derived_cl1827]) ).
thf(zip_derived_cl280_1941,plain,
( ( sum @ n14 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_1942,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl279_1943,plain,
( ( sum @ n14 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1944,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148_1945,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122_1946,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4578,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n14 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1842,zip_derived_cl280,zip_derived_cl38,zip_derived_cl279,zip_derived_cl37,zip_derived_cl148,zip_derived_cl122]) ).
thf(zip_derived_cl2_1947,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('248',plain,
( ( sk__1 != n6 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4578,zip_derived_cl2]) ).
thf(zip_derived_cl279_1948,plain,
( ( sum @ n14 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl441_1949,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1574_1950,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl615]) ).
thf(zip_derived_cl1595,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_cl441,zip_derived_cl1574]) ).
thf(zip_derived_cl4539,plain,
( ( sk__2
= ( sum @ ( pred @ n4 ) @ ( sum @ n5 @ ( pred @ ( sum @ n14 @ n5 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl279,zip_derived_cl1595]) ).
thf(zip_derived_cl37_1951,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278_1952,plain,
( ( sum @ n14 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1953,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl131_1954,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104_1955,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4541,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n14 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4539,zip_derived_cl37,zip_derived_cl278,zip_derived_cl36,zip_derived_cl131,zip_derived_cl104]) ).
thf(zip_derived_cl5_1956,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('249',plain,
( ( sk__1 != n5 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4541,zip_derived_cl5]) ).
thf(zip_derived_cl277_1957,plain,
( ( sum @ n14 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl441_1958,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1108_1959,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl613]) ).
thf(zip_derived_cl1129,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_cl441,zip_derived_cl1108]) ).
thf(zip_derived_cl4517,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n3 @ ( pred @ ( sum @ n14 @ n3 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl277,zip_derived_cl1129]) ).
thf(zip_derived_cl35_1960,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276_1961,plain,
( ( sum @ n14 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_1962,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97_1963,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1964,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4520,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n14 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4517,zip_derived_cl35,zip_derived_cl276,zip_derived_cl34,zip_derived_cl97,zip_derived_cl68]) ).
thf(zip_derived_cl11_1965,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('250',plain,
( ( sk_ != n14 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4520,zip_derived_cl11]) ).
thf(zip_derived_cl245_1966,plain,
( ( sum @ n12 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl439_1967,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1108_1968,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl613]) ).
thf(zip_derived_cl1127,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_cl439,zip_derived_cl1108]) ).
thf(zip_derived_cl4284,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n3 @ ( pred @ ( sum @ n12 @ n3 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl245,zip_derived_cl1127]) ).
thf(zip_derived_cl33_1969,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_1970,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1971,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111_1972,plain,
( ( sum @ n3 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4286,plain,
( ( sk__2
= ( sum @ n15 @ n1 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4284,zip_derived_cl33,zip_derived_cl244,zip_derived_cl48,zip_derived_cl111]) ).
thf(zip_derived_cl290_1973,plain,
( ( sum @ n15 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4617,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n12 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4286,zip_derived_cl290]) ).
thf(zip_derived_cl15_1974,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('251',plain,
( ( sk__1 != n3 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4617,zip_derived_cl15]) ).
thf(zip_derived_cl229_1975,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438_1976,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1108_1977,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl613]) ).
thf(zip_derived_cl1126,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_cl438,zip_derived_cl1108]) ).
thf(zip_derived_cl4191,plain,
( ( sk__2
= ( sum @ ( pred @ n15 ) @ ( sum @ n3 @ ( pred @ ( sum @ n11 @ n3 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl229,zip_derived_cl1126]) ).
thf(zip_derived_cl48_1978,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228_1979,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1980,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_1981,plain,
( ( sum @ n3 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4194,plain,
( ( sk__2
= ( sum @ n14 @ n0 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4191,zip_derived_cl48,zip_derived_cl228,zip_derived_cl47,zip_derived_cl110]) ).
thf(zip_derived_cl273_1982,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4480,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n11 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4194,zip_derived_cl273]) ).
thf(zip_derived_cl1_1983,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('252',plain,
( ( sk__1 != n3 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4480,zip_derived_cl1]) ).
thf(zip_derived_cl438_1984,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1827_1985,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl616]) ).
thf(zip_derived_cl1839,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_cl438,zip_derived_cl1827]) ).
thf(zip_derived_cl232_1986,plain,
( ( sum @ n11 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_1987,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl231_1988,plain,
( ( sum @ n11 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_1989,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145_1990,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1991,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4572,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n11 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1839,zip_derived_cl232,zip_derived_cl35,zip_derived_cl231,zip_derived_cl34,zip_derived_cl145,zip_derived_cl71]) ).
thf(zip_derived_cl8_1992,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('253',plain,
( ( sk__1 != n6 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4572,zip_derived_cl8]) ).
thf(zip_derived_cl438_1993,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1574_1994,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl615]) ).
thf(zip_derived_cl1592,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_cl438,zip_derived_cl1574]) ).
thf(zip_derived_cl231_1995,plain,
( ( sum @ n11 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_1996,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230_1997,plain,
( ( sum @ n11 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1998,plain,
( ( pred @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144_1999,plain,
( ( sum @ n5 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2000,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4259,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n11 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1592,zip_derived_cl231,zip_derived_cl34,zip_derived_cl230,zip_derived_cl33,zip_derived_cl144,zip_derived_cl53]) ).
thf(zip_derived_cl11_2001,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('254',plain,
( ( sk__1 != n5 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4259,zip_derived_cl11]) ).
thf('255',plain,
( ( sk_ = n12 )
| ( sk_ = n11 )
| ( sk_ = n13 )
| ( sk_ = n15 )
| ( sk_ = n0 )
| ( sk_ = n1 )
| ( sk_ = n4 )
| ( sk_ = n2 )
| ( sk_ = n5 )
| ( sk_ = n9 )
| ( sk_ = n7 )
| ( sk_ = n8 )
| ( sk_ = n3 )
| ( sk_ = n6 )
| ( sk_ = n10 )
| ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl439_2002,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl305]) ).
thf(zip_derived_cl1827_2003,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl616]) ).
thf(zip_derived_cl1840,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_cl439,zip_derived_cl1827]) ).
thf(zip_derived_cl248_2004,plain,
( ( sum @ n12 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_2005,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl247_2006,plain,
( ( sum @ n12 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2007,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl146_2008,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_2009,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4574,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n12 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1840,zip_derived_cl248,zip_derived_cl36,zip_derived_cl247,zip_derived_cl35,zip_derived_cl146,zip_derived_cl88]) ).
thf(zip_derived_cl6_2010,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('256',plain,
( ( sk__1 != n6 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4574,zip_derived_cl6]) ).
thf('257',plain,
( ( sk__1 = n6 )
| ( sk__1 = n5 )
| ( sk__1 = n1 )
| ( sk__1 = n0 )
| ( sk__1 = n2 )
| ( sk__1 = n9 )
| ( sk__1 = n14 )
| ( sk__1 = n8 )
| ( sk__1 = n15 )
| ( sk__1 = n11 )
| ( sk__1 = n12 )
| ( sk__1 = n13 )
| ( sk__1 = n4 )
| ( sk__1 = n7 )
| ( sk__1 = n10 )
| ( sk__1 = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl306]) ).
thf(zip_derived_cl5688,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM375+1.015 : TPTP v8.1.2. Released v3.2.0.
% 0.15/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BFcduhVqgU true
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 15:22:59 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.35 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.30/1.46 % Solved by fo/fo1_av.sh.
% 5.30/1.46 % done 2306 iterations in 0.489s
% 5.30/1.46 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.30/1.46 % SZS output start Refutation
% See solution above
% 6.21/1.48
% 6.21/1.48
% 6.21/1.48 % Terminating...
% 6.21/1.55 % Runner terminated.
% 6.21/1.56 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------