%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM376+1.020 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vFJAuKSo9d true
% Computer : n021.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 Oct 2 04:46:22 PM UTC 2025
% Result : Unsatisfiable 13.78s 2.59s
% Output : Refutation 14.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 6988 (3951 unt; 0 typ; 0 def)
% Number of atoms : 12446 (12445 equ; 0 cnn)
% Maximal formula atoms : 736 ( 1 avg)
% Number of connectives : 34668 (3243 ~; 561 |;2306 &;25967 @)
% ( 0 <=>; 0 =>;2591 <=; 0 <~>)
% Maximal formula depth : 698 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 26 usr; 24 con; 0-2 aty)
% Number of variables : 2 ( 0 ^; 0 !; 2 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
thf(sum_type,type,
sum: $i > $i > $i ).
thf(n20_type,type,
n20: $i ).
thf(n12_type,type,
n12: $i ).
thf(n0_type,type,
n0: $i ).
thf(n4_type,type,
n4: $i ).
thf(n8_type,type,
n8: $i ).
thf(sk__type,type,
sk_: $i ).
thf(n5_type,type,
n5: $i ).
thf(n19_type,type,
n19: $i ).
thf(succ_type,type,
succ: $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(n14_type,type,
n14: $i ).
thf(pred_type,type,
pred: $i > $i ).
thf(n11_type,type,
n11: $i ).
thf(n10_type,type,
n10: $i ).
thf(n7_type,type,
n7: $i ).
thf(n16_type,type,
n16: $i ).
thf(n1_type,type,
n1: $i ).
thf(n9_type,type,
n9: $i ).
thf(n15_type,type,
n15: $i ).
thf(n18_type,type,
n18: $i ).
thf(n13_type,type,
n13: $i ).
thf(n6_type,type,
n6: $i ).
thf(n17_type,type,
n17: $i ).
thf(n2_type,type,
n2: $i ).
thf(n3_type,type,
n3: $i ).
thf(try_satisfy_this,axiom,
? [X: $i,Y: $i] :
( ( n19 != n20 )
& ( n18 != n20 )
& ( n18 != n19 )
& ( n17 != n20 )
& ( n17 != n19 )
& ( n17 != n18 )
& ( n16 != n20 )
& ( n16 != n19 )
& ( n16 != n18 )
& ( n16 != n17 )
& ( n15 != n20 )
& ( n15 != n19 )
& ( n15 != n18 )
& ( n15 != n17 )
& ( n15 != n16 )
& ( n14 != n20 )
& ( n14 != n19 )
& ( n14 != n18 )
& ( n14 != n17 )
& ( n14 != n16 )
& ( n14 != n15 )
& ( n13 != n20 )
& ( n13 != n19 )
& ( n13 != n18 )
& ( n13 != n17 )
& ( n13 != n16 )
& ( n13 != n15 )
& ( n13 != n14 )
& ( n12 != n20 )
& ( n12 != n19 )
& ( n12 != n18 )
& ( n12 != n17 )
& ( n12 != n16 )
& ( n12 != n15 )
& ( n12 != n14 )
& ( n12 != n13 )
& ( n11 != n20 )
& ( n11 != n19 )
& ( n11 != n18 )
& ( n11 != n17 )
& ( n11 != n16 )
& ( n11 != n15 )
& ( n11 != n14 )
& ( n11 != n13 )
& ( n11 != n12 )
& ( n10 != n20 )
& ( n10 != n19 )
& ( n10 != n18 )
& ( n10 != n17 )
& ( n10 != n16 )
& ( n10 != n15 )
& ( n10 != n14 )
& ( n10 != n13 )
& ( n10 != n12 )
& ( n10 != n11 )
& ( n9 != n20 )
& ( n9 != n19 )
& ( n9 != n18 )
& ( n9 != n17 )
& ( n9 != n16 )
& ( n9 != n15 )
& ( n9 != n14 )
& ( n9 != n13 )
& ( n9 != n12 )
& ( n9 != n11 )
& ( n9 != n10 )
& ( n8 != n20 )
& ( n8 != n19 )
& ( n8 != n18 )
& ( n8 != n17 )
& ( n8 != n16 )
& ( n8 != n15 )
& ( n8 != n14 )
& ( n8 != n13 )
& ( n8 != n12 )
& ( n8 != n11 )
& ( n8 != n10 )
& ( n8 != n9 )
& ( n7 != n20 )
& ( n7 != n19 )
& ( n7 != n18 )
& ( n7 != n17 )
& ( n7 != n16 )
& ( n7 != n15 )
& ( n7 != n14 )
& ( n7 != n13 )
& ( n7 != n12 )
& ( n7 != n11 )
& ( n7 != n10 )
& ( n7 != n9 )
& ( n7 != n8 )
& ( n6 != n20 )
& ( n6 != n19 )
& ( n6 != n18 )
& ( n6 != n17 )
& ( n6 != n16 )
& ( n6 != n15 )
& ( n6 != n14 )
& ( n6 != n13 )
& ( n6 != n12 )
& ( n6 != n11 )
& ( n6 != n10 )
& ( n6 != n9 )
& ( n6 != n8 )
& ( n6 != n7 )
& ( n5 != n20 )
& ( n5 != n19 )
& ( n5 != n18 )
& ( n5 != n17 )
& ( n5 != n16 )
& ( n5 != n15 )
& ( n5 != n14 )
& ( n5 != n13 )
& ( n5 != n12 )
& ( n5 != n11 )
& ( n5 != n10 )
& ( n5 != n9 )
& ( n5 != n8 )
& ( n5 != n7 )
& ( n5 != n6 )
& ( n4 != n20 )
& ( n4 != n19 )
& ( n4 != n18 )
& ( n4 != n17 )
& ( n4 != n16 )
& ( n4 != n15 )
& ( n4 != n14 )
& ( n4 != n13 )
& ( n4 != n12 )
& ( n4 != n11 )
& ( n4 != n10 )
& ( n4 != n9 )
& ( n4 != n8 )
& ( n4 != n7 )
& ( n4 != n6 )
& ( n4 != n5 )
& ( n3 != n20 )
& ( n3 != n19 )
& ( n3 != n18 )
& ( n3 != n17 )
& ( n3 != n16 )
& ( n3 != n15 )
& ( n3 != n14 )
& ( n3 != n13 )
& ( n3 != n12 )
& ( n3 != n11 )
& ( n3 != n10 )
& ( n3 != n9 )
& ( n3 != n8 )
& ( n3 != n7 )
& ( n3 != n6 )
& ( n3 != n5 )
& ( n3 != n4 )
& ( n2 != n20 )
& ( n2 != n19 )
& ( n2 != n18 )
& ( n2 != n17 )
& ( n2 != n16 )
& ( n2 != n15 )
& ( n2 != n14 )
& ( n2 != n13 )
& ( n2 != n12 )
& ( n2 != n11 )
& ( n2 != n10 )
& ( n2 != n9 )
& ( n2 != n8 )
& ( n2 != n7 )
& ( n2 != n6 )
& ( n2 != n5 )
& ( n2 != n4 )
& ( n2 != n3 )
& ( n1 != n20 )
& ( n1 != n19 )
& ( n1 != n18 )
& ( n1 != n17 )
& ( n1 != n16 )
& ( n1 != n15 )
& ( n1 != n14 )
& ( n1 != n13 )
& ( n1 != n12 )
& ( n1 != n11 )
& ( n1 != n10 )
& ( n1 != n9 )
& ( n1 != n8 )
& ( n1 != n7 )
& ( n1 != n6 )
& ( n1 != n5 )
& ( n1 != n4 )
& ( n1 != n3 )
& ( n1 != n2 )
& ( n0 != n20 )
& ( n0 != n19 )
& ( n0 != n18 )
& ( n0 != n17 )
& ( n0 != n16 )
& ( n0 != n15 )
& ( n0 != n14 )
& ( n0 != n13 )
& ( n0 != n12 )
& ( n0 != n11 )
& ( n0 != n10 )
& ( n0 != n9 )
& ( n0 != n8 )
& ( n0 != n7 )
& ( n0 != n6 )
& ( n0 != n5 )
& ( n0 != n4 )
& ( n0 != n3 )
& ( n0 != n2 )
& ( n0 != n1 )
& ( ( sum @ ( sum @ ( pred @ X ) @ ( succ @ Y ) ) @ ( sum @ ( pred @ Y ) @ ( succ @ X ) ) )
!= ( sum @ ( sum @ ( pred @ X ) @ ( succ @ X ) ) @ ( sum @ ( pred @ Y ) @ ( succ @ Y ) ) ) )
& ( ( Y = n20 )
| ( Y = n19 )
| ( Y = n18 )
| ( Y = n17 )
| ( Y = n16 )
| ( Y = n15 )
| ( Y = n14 )
| ( Y = n13 )
| ( Y = n12 )
| ( Y = n11 )
| ( Y = n10 )
| ( Y = n9 )
| ( Y = n8 )
| ( Y = n7 )
| ( Y = n6 )
| ( Y = n5 )
| ( Y = n4 )
| ( Y = n3 )
| ( Y = n2 )
| ( Y = n1 )
| ( Y = n0 ) )
& ( ( X = n20 )
| ( X = n19 )
| ( X = n18 )
| ( X = n17 )
| ( X = n16 )
| ( X = n15 )
| ( X = n14 )
| ( X = n13 )
| ( X = n12 )
| ( X = n11 )
| ( X = n10 )
| ( X = n9 )
| ( X = n8 )
| ( X = n7 )
| ( X = n6 )
| ( X = n5 )
| ( X = n4 )
| ( X = n3 )
| ( X = n2 )
| ( X = n1 )
| ( X = n0 ) )
& ( ( sum @ n20 @ n20 )
= n19 )
& ( ( sum @ n20 @ n19 )
= n18 )
& ( ( sum @ n20 @ n18 )
= n17 )
& ( ( sum @ n20 @ n17 )
= n16 )
& ( ( sum @ n20 @ n16 )
= n15 )
& ( ( sum @ n20 @ n15 )
= n14 )
& ( ( sum @ n20 @ n14 )
= n13 )
& ( ( sum @ n20 @ n13 )
= n12 )
& ( ( sum @ n20 @ n12 )
= n11 )
& ( ( sum @ n20 @ n11 )
= n10 )
& ( ( sum @ n20 @ n10 )
= n9 )
& ( ( sum @ n20 @ n9 )
= n8 )
& ( ( sum @ n20 @ n8 )
= n7 )
& ( ( sum @ n20 @ n7 )
= n6 )
& ( ( sum @ n20 @ n6 )
= n5 )
& ( ( sum @ n20 @ n5 )
= n4 )
& ( ( sum @ n20 @ n4 )
= n3 )
& ( ( sum @ n20 @ n3 )
= n2 )
& ( ( sum @ n20 @ n2 )
= n1 )
& ( ( sum @ n20 @ n1 )
= n0 )
& ( ( sum @ n20 @ n0 )
= n20 )
& ( ( sum @ n19 @ n20 )
= n18 )
& ( ( sum @ n19 @ n19 )
= n17 )
& ( ( sum @ n19 @ n18 )
= n16 )
& ( ( sum @ n19 @ n17 )
= n15 )
& ( ( sum @ n19 @ n16 )
= n14 )
& ( ( sum @ n19 @ n15 )
= n13 )
& ( ( sum @ n19 @ n14 )
= n12 )
& ( ( sum @ n19 @ n13 )
= n11 )
& ( ( sum @ n19 @ n12 )
= n10 )
& ( ( sum @ n19 @ n11 )
= n9 )
& ( ( sum @ n19 @ n10 )
= n8 )
& ( ( sum @ n19 @ n9 )
= n7 )
& ( ( sum @ n19 @ n8 )
= n6 )
& ( ( sum @ n19 @ n7 )
= n5 )
& ( ( sum @ n19 @ n6 )
= n4 )
& ( ( sum @ n19 @ n5 )
= n3 )
& ( ( sum @ n19 @ n4 )
= n2 )
& ( ( sum @ n19 @ n3 )
= n1 )
& ( ( sum @ n19 @ n2 )
= n0 )
& ( ( sum @ n19 @ n1 )
= n20 )
& ( ( sum @ n19 @ n0 )
= n19 )
& ( ( sum @ n18 @ n20 )
= n17 )
& ( ( sum @ n18 @ n19 )
= n16 )
& ( ( sum @ n18 @ n18 )
= n15 )
& ( ( sum @ n18 @ n17 )
= n14 )
& ( ( sum @ n18 @ n16 )
= n13 )
& ( ( sum @ n18 @ n15 )
= n12 )
& ( ( sum @ n18 @ n14 )
= n11 )
& ( ( sum @ n18 @ n13 )
= n10 )
& ( ( sum @ n18 @ n12 )
= n9 )
& ( ( sum @ n18 @ n11 )
= n8 )
& ( ( sum @ n18 @ n10 )
= n7 )
& ( ( sum @ n18 @ n9 )
= n6 )
& ( ( sum @ n18 @ n8 )
= n5 )
& ( ( sum @ n18 @ n7 )
= n4 )
& ( ( sum @ n18 @ n6 )
= n3 )
& ( ( sum @ n18 @ n5 )
= n2 )
& ( ( sum @ n18 @ n4 )
= n1 )
& ( ( sum @ n18 @ n3 )
= n0 )
& ( ( sum @ n18 @ n2 )
= n20 )
& ( ( sum @ n18 @ n1 )
= n19 )
& ( ( sum @ n18 @ n0 )
= n18 )
& ( ( sum @ n17 @ n20 )
= n16 )
& ( ( sum @ n17 @ n19 )
= n15 )
& ( ( sum @ n17 @ n18 )
= n14 )
& ( ( sum @ n17 @ n17 )
= n13 )
& ( ( sum @ n17 @ n16 )
= n12 )
& ( ( sum @ n17 @ n15 )
= n11 )
& ( ( sum @ n17 @ n14 )
= n10 )
& ( ( sum @ n17 @ n13 )
= n9 )
& ( ( sum @ n17 @ n12 )
= n8 )
& ( ( sum @ n17 @ n11 )
= n7 )
& ( ( sum @ n17 @ n10 )
= n6 )
& ( ( sum @ n17 @ n9 )
= n5 )
& ( ( sum @ n17 @ n8 )
= n4 )
& ( ( sum @ n17 @ n7 )
= n3 )
& ( ( sum @ n17 @ n6 )
= n2 )
& ( ( sum @ n17 @ n5 )
= n1 )
& ( ( sum @ n17 @ n4 )
= n0 )
& ( ( sum @ n17 @ n3 )
= n20 )
& ( ( sum @ n17 @ n2 )
= n19 )
& ( ( sum @ n17 @ n1 )
= n18 )
& ( ( sum @ n17 @ n0 )
= n17 )
& ( ( sum @ n16 @ n20 )
= n15 )
& ( ( sum @ n16 @ n19 )
= n14 )
& ( ( sum @ n16 @ n18 )
= n13 )
& ( ( sum @ n16 @ n17 )
= n12 )
& ( ( sum @ n16 @ n16 )
= n11 )
& ( ( sum @ n16 @ n15 )
= n10 )
& ( ( sum @ n16 @ n14 )
= n9 )
& ( ( sum @ n16 @ n13 )
= n8 )
& ( ( sum @ n16 @ n12 )
= n7 )
& ( ( sum @ n16 @ n11 )
= n6 )
& ( ( sum @ n16 @ n10 )
= n5 )
& ( ( sum @ n16 @ n9 )
= n4 )
& ( ( sum @ n16 @ n8 )
= n3 )
& ( ( sum @ n16 @ n7 )
= n2 )
& ( ( sum @ n16 @ n6 )
= n1 )
& ( ( sum @ n16 @ n5 )
= n0 )
& ( ( sum @ n16 @ n4 )
= n20 )
& ( ( sum @ n16 @ n3 )
= n19 )
& ( ( sum @ n16 @ n2 )
= n18 )
& ( ( sum @ n16 @ n1 )
= n17 )
& ( ( sum @ n16 @ n0 )
= n16 )
& ( ( sum @ n15 @ n20 )
= n14 )
& ( ( sum @ n15 @ n19 )
= n13 )
& ( ( sum @ n15 @ n18 )
= n12 )
& ( ( sum @ n15 @ n17 )
= n11 )
& ( ( sum @ n15 @ n16 )
= n10 )
& ( ( sum @ n15 @ n15 )
= n9 )
& ( ( sum @ n15 @ n14 )
= n8 )
& ( ( sum @ n15 @ n13 )
= n7 )
& ( ( sum @ n15 @ n12 )
= n6 )
& ( ( sum @ n15 @ n11 )
= n5 )
& ( ( sum @ n15 @ n10 )
= n4 )
& ( ( sum @ n15 @ n9 )
= n3 )
& ( ( sum @ n15 @ n8 )
= n2 )
& ( ( sum @ n15 @ n7 )
= n1 )
& ( ( sum @ n15 @ n6 )
= n0 )
& ( ( sum @ n15 @ n5 )
= n20 )
& ( ( sum @ n15 @ n4 )
= n19 )
& ( ( sum @ n15 @ n3 )
= n18 )
& ( ( sum @ n15 @ n2 )
= n17 )
& ( ( sum @ n15 @ n1 )
= n16 )
& ( ( sum @ n15 @ n0 )
= n15 )
& ( ( sum @ n14 @ n20 )
= n13 )
& ( ( sum @ n14 @ n19 )
= n12 )
& ( ( sum @ n14 @ n18 )
= n11 )
& ( ( sum @ n14 @ n17 )
= n10 )
& ( ( sum @ n14 @ n16 )
= n9 )
& ( ( sum @ n14 @ n15 )
= n8 )
& ( ( sum @ n14 @ n14 )
= n7 )
& ( ( sum @ n14 @ n13 )
= n6 )
& ( ( sum @ n14 @ n12 )
= n5 )
& ( ( sum @ n14 @ n11 )
= n4 )
& ( ( sum @ n14 @ n10 )
= n3 )
& ( ( sum @ n14 @ n9 )
= n2 )
& ( ( sum @ n14 @ n8 )
= n1 )
& ( ( sum @ n14 @ n7 )
= n0 )
& ( ( sum @ n14 @ n6 )
= n20 )
& ( ( sum @ n14 @ n5 )
= n19 )
& ( ( sum @ n14 @ n4 )
= n18 )
& ( ( sum @ n14 @ n3 )
= n17 )
& ( ( sum @ n14 @ n2 )
= n16 )
& ( ( sum @ n14 @ n1 )
= n15 )
& ( ( sum @ n14 @ n0 )
= n14 )
& ( ( sum @ n13 @ n20 )
= n12 )
& ( ( sum @ n13 @ n19 )
= n11 )
& ( ( sum @ n13 @ n18 )
= n10 )
& ( ( sum @ n13 @ n17 )
= n9 )
& ( ( sum @ n13 @ n16 )
= n8 )
& ( ( sum @ n13 @ n15 )
= n7 )
& ( ( sum @ n13 @ n14 )
= n6 )
& ( ( sum @ n13 @ n13 )
= n5 )
& ( ( sum @ n13 @ n12 )
= n4 )
& ( ( sum @ n13 @ n11 )
= n3 )
& ( ( sum @ n13 @ n10 )
= n2 )
& ( ( sum @ n13 @ n9 )
= n1 )
& ( ( sum @ n13 @ n8 )
= n0 )
& ( ( sum @ n13 @ n7 )
= n20 )
& ( ( sum @ n13 @ n6 )
= n19 )
& ( ( sum @ n13 @ n5 )
= n18 )
& ( ( sum @ n13 @ n4 )
= n17 )
& ( ( sum @ n13 @ n3 )
= n16 )
& ( ( sum @ n13 @ n2 )
= n15 )
& ( ( sum @ n13 @ n1 )
= n14 )
& ( ( sum @ n13 @ n0 )
= n13 )
& ( ( sum @ n12 @ n20 )
= n11 )
& ( ( sum @ n12 @ n19 )
= n10 )
& ( ( sum @ n12 @ n18 )
= n9 )
& ( ( sum @ n12 @ n17 )
= n8 )
& ( ( sum @ n12 @ n16 )
= n7 )
& ( ( sum @ n12 @ n15 )
= n6 )
& ( ( sum @ n12 @ n14 )
= n5 )
& ( ( sum @ n12 @ n13 )
= n4 )
& ( ( sum @ n12 @ n12 )
= n3 )
& ( ( sum @ n12 @ n11 )
= n2 )
& ( ( sum @ n12 @ n10 )
= n1 )
& ( ( sum @ n12 @ n9 )
= n0 )
& ( ( sum @ n12 @ n8 )
= n20 )
& ( ( sum @ n12 @ n7 )
= n19 )
& ( ( sum @ n12 @ n6 )
= n18 )
& ( ( sum @ n12 @ n5 )
= n17 )
& ( ( sum @ n12 @ n4 )
= n16 )
& ( ( sum @ n12 @ n3 )
= n15 )
& ( ( sum @ n12 @ n2 )
= n14 )
& ( ( sum @ n12 @ n1 )
= n13 )
& ( ( sum @ n12 @ n0 )
= n12 )
& ( ( sum @ n11 @ n20 )
= n10 )
& ( ( sum @ n11 @ n19 )
= n9 )
& ( ( sum @ n11 @ n18 )
= n8 )
& ( ( sum @ n11 @ n17 )
= n7 )
& ( ( sum @ n11 @ n16 )
= n6 )
& ( ( sum @ n11 @ n15 )
= n5 )
& ( ( sum @ n11 @ n14 )
= n4 )
& ( ( sum @ n11 @ n13 )
= n3 )
& ( ( sum @ n11 @ n12 )
= n2 )
& ( ( sum @ n11 @ n11 )
= n1 )
& ( ( sum @ n11 @ n10 )
= n0 )
& ( ( sum @ n11 @ n9 )
= n20 )
& ( ( sum @ n11 @ n8 )
= n19 )
& ( ( sum @ n11 @ n7 )
= n18 )
& ( ( sum @ n11 @ n6 )
= n17 )
& ( ( sum @ n11 @ n5 )
= n16 )
& ( ( sum @ n11 @ n4 )
= n15 )
& ( ( sum @ n11 @ n3 )
= n14 )
& ( ( sum @ n11 @ n2 )
= n13 )
& ( ( sum @ n11 @ n1 )
= n12 )
& ( ( sum @ n11 @ n0 )
= n11 )
& ( ( sum @ n10 @ n20 )
= n9 )
& ( ( sum @ n10 @ n19 )
= n8 )
& ( ( sum @ n10 @ n18 )
= n7 )
& ( ( sum @ n10 @ n17 )
= n6 )
& ( ( sum @ n10 @ n16 )
= n5 )
& ( ( sum @ n10 @ n15 )
= n4 )
& ( ( sum @ n10 @ n14 )
= n3 )
& ( ( sum @ n10 @ n13 )
= n2 )
& ( ( sum @ n10 @ n12 )
= n1 )
& ( ( sum @ n10 @ n11 )
= n0 )
& ( ( sum @ n10 @ n10 )
= n20 )
& ( ( sum @ n10 @ n9 )
= n19 )
& ( ( sum @ n10 @ n8 )
= n18 )
& ( ( sum @ n10 @ n7 )
= n17 )
& ( ( sum @ n10 @ n6 )
= n16 )
& ( ( sum @ n10 @ n5 )
= n15 )
& ( ( sum @ n10 @ n4 )
= n14 )
& ( ( sum @ n10 @ n3 )
= n13 )
& ( ( sum @ n10 @ n2 )
= n12 )
& ( ( sum @ n10 @ n1 )
= n11 )
& ( ( sum @ n10 @ n0 )
= n10 )
& ( ( sum @ n9 @ n20 )
= n8 )
& ( ( sum @ n9 @ n19 )
= n7 )
& ( ( sum @ n9 @ n18 )
= n6 )
& ( ( sum @ n9 @ n17 )
= n5 )
& ( ( sum @ n9 @ n16 )
= n4 )
& ( ( sum @ n9 @ n15 )
= n3 )
& ( ( sum @ n9 @ n14 )
= n2 )
& ( ( sum @ n9 @ n13 )
= n1 )
& ( ( sum @ n9 @ n12 )
= n0 )
& ( ( sum @ n9 @ n11 )
= n20 )
& ( ( sum @ n9 @ n10 )
= n19 )
& ( ( sum @ n9 @ n9 )
= n18 )
& ( ( sum @ n9 @ n8 )
= n17 )
& ( ( sum @ n9 @ n7 )
= n16 )
& ( ( sum @ n9 @ n6 )
= n15 )
& ( ( sum @ n9 @ n5 )
= n14 )
& ( ( sum @ n9 @ n4 )
= n13 )
& ( ( sum @ n9 @ n3 )
= n12 )
& ( ( sum @ n9 @ n2 )
= n11 )
& ( ( sum @ n9 @ n1 )
= n10 )
& ( ( sum @ n9 @ n0 )
= n9 )
& ( ( sum @ n8 @ n20 )
= n7 )
& ( ( sum @ n8 @ n19 )
= n6 )
& ( ( sum @ n8 @ n18 )
= n5 )
& ( ( sum @ n8 @ n17 )
= n4 )
& ( ( sum @ n8 @ n16 )
= n3 )
& ( ( sum @ n8 @ n15 )
= n2 )
& ( ( sum @ n8 @ n14 )
= n1 )
& ( ( sum @ n8 @ n13 )
= n0 )
& ( ( sum @ n8 @ n12 )
= n20 )
& ( ( sum @ n8 @ n11 )
= n19 )
& ( ( sum @ n8 @ n10 )
= n18 )
& ( ( sum @ n8 @ n9 )
= n17 )
& ( ( sum @ n8 @ n8 )
= n16 )
& ( ( sum @ n8 @ n7 )
= n15 )
& ( ( sum @ n8 @ n6 )
= n14 )
& ( ( sum @ n8 @ n5 )
= n13 )
& ( ( sum @ n8 @ n4 )
= n12 )
& ( ( sum @ n8 @ n3 )
= n11 )
& ( ( sum @ n8 @ n2 )
= n10 )
& ( ( sum @ n8 @ n1 )
= n9 )
& ( ( sum @ n8 @ n0 )
= n8 )
& ( ( sum @ n7 @ n20 )
= n6 )
& ( ( sum @ n7 @ n19 )
= n5 )
& ( ( sum @ n7 @ n18 )
= n4 )
& ( ( sum @ n7 @ n17 )
= n3 )
& ( ( sum @ n7 @ n16 )
= n2 )
& ( ( sum @ n7 @ n15 )
= n1 )
& ( ( sum @ n7 @ n14 )
= n0 )
& ( ( sum @ n7 @ n13 )
= n20 )
& ( ( sum @ n7 @ n12 )
= n19 )
& ( ( sum @ n7 @ n11 )
= n18 )
& ( ( sum @ n7 @ n10 )
= n17 )
& ( ( sum @ n7 @ n9 )
= n16 )
& ( ( sum @ n7 @ n8 )
= n15 )
& ( ( sum @ n7 @ n7 )
= n14 )
& ( ( sum @ n7 @ n6 )
= n13 )
& ( ( sum @ n7 @ n5 )
= n12 )
& ( ( sum @ n7 @ n4 )
= n11 )
& ( ( sum @ n7 @ n3 )
= n10 )
& ( ( sum @ n7 @ n2 )
= n9 )
& ( ( sum @ n7 @ n1 )
= n8 )
& ( ( sum @ n7 @ n0 )
= n7 )
& ( ( sum @ n6 @ n20 )
= n5 )
& ( ( sum @ n6 @ n19 )
= n4 )
& ( ( sum @ n6 @ n18 )
= n3 )
& ( ( sum @ n6 @ n17 )
= n2 )
& ( ( sum @ n6 @ n16 )
= n1 )
& ( ( sum @ n6 @ n15 )
= n0 )
& ( ( sum @ n6 @ n14 )
= n20 )
& ( ( sum @ n6 @ n13 )
= n19 )
& ( ( sum @ n6 @ n12 )
= n18 )
& ( ( sum @ n6 @ n11 )
= n17 )
& ( ( sum @ n6 @ n10 )
= n16 )
& ( ( sum @ n6 @ n9 )
= n15 )
& ( ( sum @ n6 @ n8 )
= n14 )
& ( ( sum @ n6 @ n7 )
= n13 )
& ( ( sum @ n6 @ n6 )
= n12 )
& ( ( sum @ n6 @ n5 )
= n11 )
& ( ( sum @ n6 @ n4 )
= n10 )
& ( ( sum @ n6 @ n3 )
= n9 )
& ( ( sum @ n6 @ n2 )
= n8 )
& ( ( sum @ n6 @ n1 )
= n7 )
& ( ( sum @ n6 @ n0 )
= n6 )
& ( ( sum @ n5 @ n20 )
= n4 )
& ( ( sum @ n5 @ n19 )
= n3 )
& ( ( sum @ n5 @ n18 )
= n2 )
& ( ( sum @ n5 @ n17 )
= n1 )
& ( ( sum @ n5 @ n16 )
= n0 )
& ( ( sum @ n5 @ n15 )
= n20 )
& ( ( sum @ n5 @ n14 )
= n19 )
& ( ( sum @ n5 @ n13 )
= n18 )
& ( ( sum @ n5 @ n12 )
= n17 )
& ( ( sum @ n5 @ n11 )
= n16 )
& ( ( sum @ n5 @ n10 )
= n15 )
& ( ( sum @ n5 @ n9 )
= n14 )
& ( ( sum @ n5 @ n8 )
= n13 )
& ( ( sum @ n5 @ n7 )
= n12 )
& ( ( sum @ n5 @ n6 )
= n11 )
& ( ( sum @ n5 @ n5 )
= n10 )
& ( ( sum @ n5 @ n4 )
= n9 )
& ( ( sum @ n5 @ n3 )
= n8 )
& ( ( sum @ n5 @ n2 )
= n7 )
& ( ( sum @ n5 @ n1 )
= n6 )
& ( ( sum @ n5 @ n0 )
= n5 )
& ( ( sum @ n4 @ n20 )
= n3 )
& ( ( sum @ n4 @ n19 )
= n2 )
& ( ( sum @ n4 @ n18 )
= n1 )
& ( ( sum @ n4 @ n17 )
= n0 )
& ( ( sum @ n4 @ n16 )
= n20 )
& ( ( sum @ n4 @ n15 )
= n19 )
& ( ( sum @ n4 @ n14 )
= n18 )
& ( ( sum @ n4 @ n13 )
= n17 )
& ( ( sum @ n4 @ n12 )
= n16 )
& ( ( sum @ n4 @ n11 )
= n15 )
& ( ( sum @ n4 @ n10 )
= n14 )
& ( ( sum @ n4 @ n9 )
= n13 )
& ( ( sum @ n4 @ n8 )
= n12 )
& ( ( sum @ n4 @ n7 )
= n11 )
& ( ( sum @ n4 @ n6 )
= n10 )
& ( ( sum @ n4 @ n5 )
= n9 )
& ( ( sum @ n4 @ n4 )
= n8 )
& ( ( sum @ n4 @ n3 )
= n7 )
& ( ( sum @ n4 @ n2 )
= n6 )
& ( ( sum @ n4 @ n1 )
= n5 )
& ( ( sum @ n4 @ n0 )
= n4 )
& ( ( sum @ n3 @ n20 )
= n2 )
& ( ( sum @ n3 @ n19 )
= n1 )
& ( ( sum @ n3 @ n18 )
= n0 )
& ( ( sum @ n3 @ n17 )
= n20 )
& ( ( sum @ n3 @ n16 )
= n19 )
& ( ( sum @ n3 @ n15 )
= n18 )
& ( ( sum @ n3 @ n14 )
= n17 )
& ( ( sum @ n3 @ n13 )
= n16 )
& ( ( sum @ n3 @ n12 )
= n15 )
& ( ( sum @ n3 @ n11 )
= n14 )
& ( ( sum @ n3 @ n10 )
= n13 )
& ( ( sum @ n3 @ n9 )
= n12 )
& ( ( sum @ n3 @ n8 )
= n11 )
& ( ( sum @ n3 @ n7 )
= n10 )
& ( ( sum @ n3 @ n6 )
= n9 )
& ( ( sum @ n3 @ n5 )
= n8 )
& ( ( sum @ n3 @ n4 )
= n7 )
& ( ( sum @ n3 @ n3 )
= n6 )
& ( ( sum @ n3 @ n2 )
= n5 )
& ( ( sum @ n3 @ n1 )
= n4 )
& ( ( sum @ n3 @ n0 )
= n3 )
& ( ( sum @ n2 @ n20 )
= n1 )
& ( ( sum @ n2 @ n19 )
= n0 )
& ( ( sum @ n2 @ n18 )
= n20 )
& ( ( sum @ n2 @ n17 )
= n19 )
& ( ( sum @ n2 @ n16 )
= n18 )
& ( ( sum @ n2 @ n15 )
= n17 )
& ( ( sum @ n2 @ n14 )
= n16 )
& ( ( sum @ n2 @ n13 )
= n15 )
& ( ( sum @ n2 @ n12 )
= n14 )
& ( ( sum @ n2 @ n11 )
= n13 )
& ( ( sum @ n2 @ n10 )
= n12 )
& ( ( sum @ n2 @ n9 )
= n11 )
& ( ( sum @ n2 @ n8 )
= n10 )
& ( ( sum @ n2 @ n7 )
= n9 )
& ( ( sum @ n2 @ n6 )
= n8 )
& ( ( sum @ n2 @ n5 )
= n7 )
& ( ( sum @ n2 @ n4 )
= n6 )
& ( ( sum @ n2 @ n3 )
= n5 )
& ( ( sum @ n2 @ n2 )
= n4 )
& ( ( sum @ n2 @ n1 )
= n3 )
& ( ( sum @ n2 @ n0 )
= n2 )
& ( ( sum @ n1 @ n20 )
= n0 )
& ( ( sum @ n1 @ n19 )
= n20 )
& ( ( sum @ n1 @ n18 )
= n19 )
& ( ( sum @ n1 @ n17 )
= n18 )
& ( ( sum @ n1 @ n16 )
= n17 )
& ( ( sum @ n1 @ n15 )
= n16 )
& ( ( sum @ n1 @ n14 )
= n15 )
& ( ( sum @ n1 @ n13 )
= n14 )
& ( ( sum @ n1 @ n12 )
= n13 )
& ( ( sum @ n1 @ n11 )
= n12 )
& ( ( sum @ n1 @ n10 )
= n11 )
& ( ( sum @ n1 @ n9 )
= n10 )
& ( ( sum @ n1 @ n8 )
= n9 )
& ( ( sum @ n1 @ n7 )
= n8 )
& ( ( sum @ n1 @ n6 )
= n7 )
& ( ( sum @ n1 @ n5 )
= n6 )
& ( ( sum @ n1 @ n4 )
= n5 )
& ( ( sum @ n1 @ n3 )
= n4 )
& ( ( sum @ n1 @ n2 )
= n3 )
& ( ( sum @ n1 @ n1 )
= n2 )
& ( ( sum @ n1 @ n0 )
= n1 )
& ( ( sum @ n0 @ n20 )
= n20 )
& ( ( sum @ n0 @ n19 )
= n19 )
& ( ( sum @ n0 @ n18 )
= n18 )
& ( ( sum @ n0 @ n17 )
= n17 )
& ( ( sum @ n0 @ n16 )
= n16 )
& ( ( sum @ n0 @ n15 )
= n15 )
& ( ( sum @ n0 @ n14 )
= n14 )
& ( ( sum @ n0 @ n13 )
= n13 )
& ( ( sum @ n0 @ n12 )
= n12 )
& ( ( sum @ n0 @ n11 )
= n11 )
& ( ( sum @ n0 @ n10 )
= n10 )
& ( ( sum @ n0 @ n9 )
= n9 )
& ( ( sum @ n0 @ n8 )
= n8 )
& ( ( sum @ n0 @ n7 )
= n7 )
& ( ( sum @ n0 @ n6 )
= n6 )
& ( ( sum @ n0 @ n5 )
= n5 )
& ( ( sum @ n0 @ n4 )
= n4 )
& ( ( sum @ n0 @ n3 )
= n3 )
& ( ( sum @ n0 @ n2 )
= n2 )
& ( ( sum @ n0 @ n1 )
= n1 )
& ( ( sum @ n0 @ n0 )
= n0 )
& ( ( pred @ n20 )
= n19 )
& ( ( pred @ n19 )
= n18 )
& ( ( pred @ n18 )
= n17 )
& ( ( pred @ n17 )
= n16 )
& ( ( pred @ n16 )
= n15 )
& ( ( pred @ n15 )
= n14 )
& ( ( pred @ n14 )
= n13 )
& ( ( pred @ n13 )
= n12 )
& ( ( pred @ n12 )
= n11 )
& ( ( pred @ n11 )
= n10 )
& ( ( pred @ n10 )
= n9 )
& ( ( pred @ n9 )
= n8 )
& ( ( pred @ n8 )
= n7 )
& ( ( pred @ n7 )
= n6 )
& ( ( pred @ n6 )
= n5 )
& ( ( pred @ n5 )
= n4 )
& ( ( pred @ n4 )
= n3 )
& ( ( pred @ n3 )
= n2 )
& ( ( pred @ n2 )
= n1 )
& ( ( pred @ n1 )
= n0 )
& ( ( pred @ n0 )
= n20 )
& ( ( succ @ n20 )
= n0 )
& ( ( succ @ n19 )
= n20 )
& ( ( succ @ n18 )
= n19 )
& ( ( succ @ n17 )
= n18 )
& ( ( succ @ n16 )
= n17 )
& ( ( succ @ n15 )
= n16 )
& ( ( succ @ n14 )
= n15 )
& ( ( succ @ n13 )
= n14 )
& ( ( succ @ n12 )
= n13 )
& ( ( succ @ n11 )
= n12 )
& ( ( succ @ n10 )
= n11 )
& ( ( succ @ n9 )
= n10 )
& ( ( succ @ n8 )
= n9 )
& ( ( succ @ n7 )
= n8 )
& ( ( succ @ n6 )
= n7 )
& ( ( succ @ n5 )
= n6 )
& ( ( succ @ n4 )
= n5 )
& ( ( succ @ n3 )
= n4 )
& ( ( succ @ n2 )
= n3 )
& ( ( succ @ n1 )
= n2 )
& ( ( succ @ n0 )
= n1 ) ) ).
thf(zip_derived_cl485,plain,
( ( sk_ = n20 )
| ( sk_ = n19 )
| ( sk_ = n18 )
| ( sk_ = n17 )
| ( sk_ = n16 )
| ( sk_ = n15 )
| ( sk_ = n14 )
| ( sk_ = n13 )
| ( sk_ = n12 )
| ( sk_ = n11 )
| ( sk_ = n10 )
| ( sk_ = n9 )
| ( sk_ = n8 )
| ( sk_ = n7 )
| ( sk_ = n6 )
| ( sk_ = n5 )
| ( sk_ = n4 )
| ( sk_ = n3 )
| ( sk_ = n2 )
| ( sk_ = n1 )
| ( sk_ = n0 ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl266,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1,plain,
( ( sk__1 = n20 )
| ( sk__1 = n19 )
| ( sk__1 = n18 )
| ( sk__1 = n17 )
| ( sk__1 = n16 )
| ( sk__1 = n15 )
| ( sk__1 = n14 )
| ( sk__1 = n13 )
| ( sk__1 = n12 )
| ( sk__1 = n11 )
| ( sk__1 = n10 )
| ( sk__1 = n9 )
| ( sk__1 = n8 )
| ( sk__1 = n7 )
| ( sk__1 = n6 )
| ( sk__1 = n5 )
| ( sk__1 = n4 )
| ( sk__1 = n3 )
| ( sk__1 = n2 )
| ( sk__1 = n1 )
| ( sk__1 = n0 ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl707,plain,
( ( sk__1 = n11 )
<= ( sk__1 = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl822,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n11 ) ) @ ( sum @ ( pred @ n11 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl707,zip_derived_cl0]) ).
thf(zip_derived_cl13,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_001,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2513,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ ( pred @ n11 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n11 ) @ n12 ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl822,zip_derived_cl13,zip_derived_cl13]) ).
thf(zip_derived_cl6321,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n10 @ n12 ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl2513]) ).
thf(zip_derived_cl11633,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6321]) ).
thf(zip_derived_cl11657,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl11633]) ).
thf(zip_derived_cl38,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_002,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_003,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11700,plain,
( ( ( sum @ ( sum @ n14 @ n12 ) @ ( sum @ n10 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11657,zip_derived_cl38,zip_derived_cl17,zip_derived_cl38,zip_derived_cl17]) ).
thf(zip_derived_cl350,plain,
( ( sum @ n14 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270,plain,
( ( sum @ n10 @ n16 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12528,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n11 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11700,zip_derived_cl350,zip_derived_cl270,zip_derived_cl154,zip_derived_cl354,zip_derived_cl234]) ).
thf('0',plain,
( ( sk__1 != n11 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12528]) ).
thf(zip_derived_cl733,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl465,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl696,plain,
( ( sk__1 = n0 )
<= ( sk__1 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_004,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl742,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n0 ) ) @ ( sum @ ( pred @ n0 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_005,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1662,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ ( pred @ n0 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n0 ) @ n1 ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl742,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl3357,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n20 @ n1 ) ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl1662]) ).
thf(zip_derived_cl13642,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl3357]) ).
thf(zip_derived_cl13669,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n1 ) @ ( sum @ n20 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl13642]) ).
thf(zip_derived_cl39,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl360,plain,
( ( sum @ n15 @ n1 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_006,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_007,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl275,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13712,plain,
( ( ( sum @ n16 @ ( sum @ n20 @ n17 ) )
!= n11 )
<= ( ( sk__1 = n0 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13669,zip_derived_cl39,zip_derived_cl360,zip_derived_cl18,zip_derived_cl39,zip_derived_cl18,zip_derived_cl376,zip_derived_cl275]) ).
thf(zip_derived_cl481,plain,
( ( sum @ n20 @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl396,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13981,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n0 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13712,zip_derived_cl481,zip_derived_cl396]) ).
thf('1',plain,
( ( sk_ != n16 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13981]) ).
thf(zip_derived_cl484,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_008,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_009,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl112,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl700,plain,
( ( sk__1 = n4 )
<= ( sk__1 = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_010,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl753,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n4 ) ) @ ( sum @ ( pred @ n4 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl700,zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_011,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1964,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ ( pred @ n4 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n4 ) @ n5 ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl753,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl4440,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n3 @ n5 ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl1964]) ).
thf(zip_derived_cl9908,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4440]) ).
thf(zip_derived_cl9925,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl9908]) ).
thf(zip_derived_cl39_012,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_013,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_014,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_015,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9968,plain,
( ( ( sum @ ( sum @ n15 @ n5 ) @ ( sum @ n3 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9925,zip_derived_cl39,zip_derived_cl18,zip_derived_cl39,zip_derived_cl18]) ).
thf(zip_derived_cl124,plain,
( ( sum @ n3 @ n17 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11934,plain,
( ( ( sum @ ( sum @ n15 @ n5 ) @ n20 )
!= ( sum @ ( sum @ n15 @ n17 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9968,zip_derived_cl124]) ).
thf(zip_derived_cl12577,plain,
( ( ( sum @ ( sum @ n15 @ n5 ) @ n20 )
!= ( sum @ n11 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl11934]) ).
thf(zip_derived_cl364,plain,
( ( sum @ n15 @ n5 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl283,plain,
( ( sum @ n11 @ n8 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12589,plain,
( ( ( sum @ n20 @ n20 )
!= n19 )
<= ( ( sk__1 = n4 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12577,zip_derived_cl364,zip_derived_cl283]) ).
thf(zip_derived_cl13924,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n4 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl12589]) ).
thf('2',plain,
( ( sk_ != n16 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13924]) ).
thf(zip_derived_cl733_016,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl443,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl716,plain,
( ( sk__1 = n20 )
<= ( sk__1 = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_017,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl988,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n20 ) ) @ ( sum @ ( pred @ n20 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl716,zip_derived_cl0]) ).
thf(zip_derived_cl22,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_018,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3532,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ ( pred @ n20 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n20 ) @ n0 ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl988,zip_derived_cl22,zip_derived_cl22]) ).
thf(zip_derived_cl8452,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n19 @ n0 ) ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl3532]) ).
thf(zip_derived_cl13325,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl8452]) ).
thf(zip_derived_cl13460,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n0 ) @ ( sum @ n19 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl13325]) ).
thf(zip_derived_cl39_019,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl359,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_020,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_021,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_022,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_023,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl294,plain,
( ( sum @ n11 @ n19 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13502,plain,
( ( ( sum @ n15 @ ( sum @ n19 @ n17 ) )
!= n9 )
<= ( ( sk__1 = n20 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13460,zip_derived_cl39,zip_derived_cl359,zip_derived_cl18,zip_derived_cl39,zip_derived_cl18,zip_derived_cl376,zip_derived_cl294]) ).
thf(zip_derived_cl460,plain,
( ( sum @ n19 @ n17 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13794,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n20 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13502,zip_derived_cl460,zip_derived_cl374]) ).
thf('3',plain,
( ( sk_ != n16 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13794]) ).
thf(zip_derived_cl462,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_024,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_025,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl90,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl699,plain,
( ( sk__1 = n3 )
<= ( sk__1 = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_026,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl748,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n3 ) ) @ ( sum @ ( pred @ n3 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl699,zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_027,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1880,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ ( pred @ n3 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n3 ) @ n4 ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl748,zip_derived_cl5,zip_derived_cl5]) ).
thf(zip_derived_cl4167,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n2 @ n4 ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl1880]) ).
thf(zip_derived_cl9494,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl4167]) ).
thf(zip_derived_cl9511,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl9494]) ).
thf(zip_derived_cl39_028,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_029,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_030,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_031,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9554,plain,
( ( ( sum @ ( sum @ n15 @ n4 ) @ ( sum @ n2 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9511,zip_derived_cl39,zip_derived_cl18,zip_derived_cl39,zip_derived_cl18]) ).
thf(zip_derived_cl103,plain,
( ( sum @ n2 @ n17 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11785,plain,
( ( ( sum @ ( sum @ n15 @ n4 ) @ n19 )
!= ( sum @ ( sum @ n15 @ n17 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9554,zip_derived_cl103]) ).
thf(zip_derived_cl12576,plain,
( ( ( sum @ ( sum @ n15 @ n4 ) @ n19 )
!= ( sum @ n11 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl11785]) ).
thf(zip_derived_cl363,plain,
( ( sum @ n15 @ n4 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl281,plain,
( ( sum @ n11 @ n6 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12588,plain,
( ( ( sum @ n19 @ n19 )
!= n17 )
<= ( ( sk__1 = n3 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12576,zip_derived_cl363,zip_derived_cl281]) ).
thf(zip_derived_cl13611,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n3 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl12588]) ).
thf('4',plain,
( ( sk__1 != n3 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13611]) ).
thf(zip_derived_cl733_032,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl442,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl715,plain,
( ( sk__1 = n19 )
<= ( sk__1 = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_033,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl967,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n19 ) ) @ ( sum @ ( pred @ n19 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl715,zip_derived_cl0]) ).
thf(zip_derived_cl21,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_034,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3269,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ ( pred @ n19 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n19 ) @ n20 ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl967,zip_derived_cl21,zip_derived_cl21]) ).
thf(zip_derived_cl8276,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n18 @ n20 ) ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl3269]) ).
thf(zip_derived_cl13271,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl8276]) ).
thf(zip_derived_cl13342,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl13271]) ).
thf(zip_derived_cl39_035,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl379,plain,
( ( sum @ n15 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_036,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl439,plain,
( ( sum @ n18 @ n17 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_037,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_038,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_039,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl292,plain,
( ( sum @ n11 @ n17 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13397,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n19 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13342,zip_derived_cl39,zip_derived_cl379,zip_derived_cl18,zip_derived_cl439,zip_derived_cl352,zip_derived_cl39,zip_derived_cl18,zip_derived_cl376,zip_derived_cl292]) ).
thf('5',plain,
( ( sk_ != n16 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13397]) ).
thf(zip_derived_cl440,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_040,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_041,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl68,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl698,plain,
( ( sk__1 = n2 )
<= ( sk__1 = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_042,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl744,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n2 ) ) @ ( sum @ ( pred @ n2 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl698,zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_043,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1800,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ ( pred @ n2 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n2 ) @ n3 ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl744,zip_derived_cl4,zip_derived_cl4]) ).
thf(zip_derived_cl3884,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n1 @ n3 ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl1800]) ).
thf(zip_derived_cl8898,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl3884]) ).
thf(zip_derived_cl8915,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl8898]) ).
thf(zip_derived_cl39_044,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_045,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_046,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_047,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8958,plain,
( ( ( sum @ ( sum @ n15 @ n3 ) @ ( sum @ n1 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8915,zip_derived_cl39,zip_derived_cl18,zip_derived_cl39,zip_derived_cl18]) ).
thf(zip_derived_cl82,plain,
( ( sum @ n1 @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11747,plain,
( ( ( sum @ ( sum @ n15 @ n3 ) @ n18 )
!= ( sum @ ( sum @ n15 @ n17 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8958,zip_derived_cl82]) ).
thf(zip_derived_cl12575,plain,
( ( ( sum @ ( sum @ n15 @ n3 ) @ n18 )
!= ( sum @ n11 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl11747]) ).
thf(zip_derived_cl362,plain,
( ( sum @ n15 @ n3 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl279,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12587,plain,
( ( ( sum @ n18 @ n18 )
!= n15 )
<= ( ( sk__1 = n2 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12575,zip_derived_cl362,zip_derived_cl279]) ).
thf(zip_derived_cl13249,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n2 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl12587]) ).
thf('6',plain,
( ( sk_ != n16 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13249]) ).
thf(zip_derived_cl733_048,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl420,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl714,plain,
( ( sk__1 = n18 )
<= ( sk__1 = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_049,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl938,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n18 ) ) @ ( sum @ ( pred @ n18 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl714,zip_derived_cl0]) ).
thf(zip_derived_cl20,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_050,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3181,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ ( pred @ n18 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n18 ) @ n19 ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl938,zip_derived_cl20,zip_derived_cl20]) ).
thf(zip_derived_cl8098,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n17 @ n19 ) ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl3181]) ).
thf(zip_derived_cl13022,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl8098]) ).
thf(zip_derived_cl13088,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl13022]) ).
thf(zip_derived_cl39_051,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378,plain,
( ( sum @ n15 @ n19 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_052,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_053,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_054,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_055,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290,plain,
( ( sum @ n11 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13141,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n18 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13088,zip_derived_cl39,zip_derived_cl378,zip_derived_cl18,zip_derived_cl418,zip_derived_cl330,zip_derived_cl39,zip_derived_cl18,zip_derived_cl376,zip_derived_cl290]) ).
thf('7',plain,
( ( sk_ != n16 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13141]) ).
thf(zip_derived_cl418_056,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_057,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_058,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl46,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl697,plain,
( ( sk__1 = n1 )
<= ( sk__1 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_059,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl743,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n1 ) ) @ ( sum @ ( pred @ n1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_060,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1731,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ ( pred @ n1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n1 ) @ n2 ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl743,zip_derived_cl3,zip_derived_cl3]) ).
thf(zip_derived_cl3620,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n0 @ n2 ) ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl1731]) ).
thf(zip_derived_cl8719,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3620]) ).
thf(zip_derived_cl8736,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl8719]) ).
thf(zip_derived_cl39_061,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_062,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_063,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_064,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8779,plain,
( ( ( sum @ ( sum @ n15 @ n2 ) @ ( sum @ n0 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8736,zip_derived_cl39,zip_derived_cl18,zip_derived_cl39,zip_derived_cl18]) ).
thf(zip_derived_cl61,plain,
( ( sum @ n0 @ n17 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11602,plain,
( ( ( sum @ ( sum @ n15 @ n2 ) @ n17 )
!= ( sum @ ( sum @ n15 @ n17 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8779,zip_derived_cl61]) ).
thf(zip_derived_cl12574,plain,
( ( ( sum @ ( sum @ n15 @ n2 ) @ n17 )
!= ( sum @ n11 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl11602]) ).
thf(zip_derived_cl361,plain,
( ( sum @ n15 @ n2 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl277,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12586,plain,
( ( ( sum @ n17 @ n17 )
!= n13 )
<= ( ( sk__1 = n1 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12574,zip_derived_cl361,zip_derived_cl277]) ).
thf(zip_derived_cl13003,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n1 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl12586]) ).
thf('8',plain,
( ( sk_ != n16 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13003]) ).
thf(zip_derived_cl733_065,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl398,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl713,plain,
( ( sk__1 = n17 )
<= ( sk__1 = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_066,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl919,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n17 ) ) @ ( sum @ ( pred @ n17 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl713,zip_derived_cl0]) ).
thf(zip_derived_cl19,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_067,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3095,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ ( pred @ n17 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n17 ) @ n18 ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl919,zip_derived_cl19,zip_derived_cl19]) ).
thf(zip_derived_cl7922,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n16 @ n18 ) ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl3095]) ).
thf(zip_derived_cl12798,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7922]) ).
thf(zip_derived_cl12860,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl12798]) ).
thf(zip_derived_cl39_068,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl377,plain,
( ( sum @ n15 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_069,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl397,plain,
( ( sum @ n16 @ n17 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_070,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_071,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_072,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12912,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n17 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12860,zip_derived_cl39,zip_derived_cl377,zip_derived_cl18,zip_derived_cl397,zip_derived_cl308,zip_derived_cl39,zip_derived_cl18,zip_derived_cl376,zip_derived_cl288]) ).
thf('9',plain,
( ( sk_ != n16 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12912]) ).
thf(zip_derived_cl733_073,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl332,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl710,plain,
( ( sk__1 = n14 )
<= ( sk__1 = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_074,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl864,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n14 ) ) @ ( sum @ ( pred @ n14 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl710,zip_derived_cl0]) ).
thf(zip_derived_cl16,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_075,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2841,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ ( pred @ n14 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n14 ) @ n15 ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl864,zip_derived_cl16,zip_derived_cl16]) ).
thf(zip_derived_cl7123,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n13 @ n15 ) ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl2841]) ).
thf(zip_derived_cl12162,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl7123]) ).
thf(zip_derived_cl12199,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl12162]) ).
thf(zip_derived_cl39_076,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_077,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_078,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_079,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12245,plain,
( ( ( sum @ ( sum @ n15 @ n15 ) @ ( sum @ n13 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12199,zip_derived_cl39,zip_derived_cl18,zip_derived_cl39,zip_derived_cl18]) ).
thf(zip_derived_cl374_080,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334,plain,
( ( sum @ n13 @ n17 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_081,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282,plain,
( ( sum @ n11 @ n7 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12765,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n14 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12245,zip_derived_cl374,zip_derived_cl334,zip_derived_cl242,zip_derived_cl376,zip_derived_cl282]) ).
thf('10',plain,
( ( sk_ != n16 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12765]) ).
thf(zip_derived_cl733_082,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl310,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl709,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_083,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl849,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n13 ) ) @ ( sum @ ( pred @ n13 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl709,zip_derived_cl0]) ).
thf(zip_derived_cl15,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_084,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2759,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ ( pred @ n13 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n13 ) @ n14 ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl849,zip_derived_cl15,zip_derived_cl15]) ).
thf(zip_derived_cl6856,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n12 @ n14 ) ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl2759]) ).
thf(zip_derived_cl11986,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6856]) ).
thf(zip_derived_cl12018,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl11986]) ).
thf(zip_derived_cl39_085,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_086,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_087,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_088,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12063,plain,
( ( ( sum @ ( sum @ n15 @ n14 ) @ ( sum @ n12 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12018,zip_derived_cl39,zip_derived_cl18,zip_derived_cl39,zip_derived_cl18]) ).
thf(zip_derived_cl373,plain,
( ( sum @ n15 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl313,plain,
( ( sum @ n12 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_089,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280,plain,
( ( sum @ n11 @ n5 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12750,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n13 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12063,zip_derived_cl373,zip_derived_cl313,zip_derived_cl220,zip_derived_cl376,zip_derived_cl280]) ).
thf('11',plain,
( ( sk_ != n16 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12750]) ).
thf(zip_derived_cl733_090,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl288_091,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl708,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_092,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl835,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n12 ) ) @ ( sum @ ( pred @ n12 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl708,zip_derived_cl0]) ).
thf(zip_derived_cl14,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_093,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2677,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ ( pred @ n12 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n12 ) @ n13 ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl835,zip_derived_cl14,zip_derived_cl14]) ).
thf(zip_derived_cl6589,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n11 @ n13 ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl2677]) ).
thf(zip_derived_cl11809,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl6589]) ).
thf(zip_derived_cl11837,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl11809]) ).
thf(zip_derived_cl39_094,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_095,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_096,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_097,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11881,plain,
( ( ( sum @ ( sum @ n15 @ n13 ) @ ( sum @ n11 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11837,zip_derived_cl39,zip_derived_cl18,zip_derived_cl39,zip_derived_cl18]) ).
thf(zip_derived_cl372,plain,
( ( sum @ n15 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl292_098,plain,
( ( sum @ n11 @ n17 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_099,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12726,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n12 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11881,zip_derived_cl372,zip_derived_cl292,zip_derived_cl198,zip_derived_cl376,zip_derived_cl278]) ).
thf('12',plain,
( ( sk_ != n16 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12726]) ).
thf(zip_derived_cl376_100,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_101,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11633_102,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6321]) ).
thf(zip_derived_cl11658,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl11633]) ).
thf(zip_derived_cl39_103,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_104,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_105,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_106,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11701,plain,
( ( ( sum @ ( sum @ n15 @ n12 ) @ ( sum @ n10 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11658,zip_derived_cl39,zip_derived_cl18,zip_derived_cl39,zip_derived_cl18]) ).
thf(zip_derived_cl371,plain,
( ( sum @ n15 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl271,plain,
( ( sum @ n10 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12530,plain,
( ( n12
!= ( sum @ ( sum @ n15 @ n17 ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11701,zip_derived_cl371,zip_derived_cl271,zip_derived_cl176]) ).
thf(zip_derived_cl12585,plain,
( ( n12
!= ( sum @ n11 @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl12530]) ).
thf(zip_derived_cl276,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12604,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n11 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12585,zip_derived_cl276]) ).
thf('13',plain,
( ( sk__1 != n11 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12604]) ).
thf(zip_derived_cl376_107,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_108,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl244,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706,plain,
( ( sk__1 = n10 )
<= ( sk__1 = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_109,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl807,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n10 ) ) @ ( sum @ ( pred @ n10 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl0]) ).
thf(zip_derived_cl12,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_110,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2433,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ ( pred @ n10 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n10 ) @ n11 ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl807,zip_derived_cl12,zip_derived_cl12]) ).
thf(zip_derived_cl6054,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n9 @ n11 ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl2433]) ).
thf(zip_derived_cl11489,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl6054]) ).
thf(zip_derived_cl11506,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl11489]) ).
thf(zip_derived_cl39_111,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_112,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_113,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_114,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11549,plain,
( ( ( sum @ ( sum @ n15 @ n11 ) @ ( sum @ n9 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11506,zip_derived_cl39,zip_derived_cl18,zip_derived_cl39,zip_derived_cl18]) ).
thf(zip_derived_cl250,plain,
( ( sum @ n9 @ n17 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12508,plain,
( ( ( sum @ ( sum @ n15 @ n11 ) @ n5 )
!= ( sum @ ( sum @ n15 @ n17 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11549,zip_derived_cl250]) ).
thf(zip_derived_cl12584,plain,
( ( ( sum @ ( sum @ n15 @ n11 ) @ n5 )
!= ( sum @ n11 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl12508]) ).
thf(zip_derived_cl370,plain,
( ( sum @ n15 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_115,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl295,plain,
( ( sum @ n11 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12602,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n10 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12584,zip_derived_cl370,zip_derived_cl154,zip_derived_cl295]) ).
thf('14',plain,
( ( sk_ != n16 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12602]) ).
thf(zip_derived_cl376_116,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_117,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl354_118,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_119,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl711,plain,
( ( sk__1 = n15 )
<= ( sk__1 = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_120,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl884,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n15 ) ) @ ( sum @ ( pred @ n15 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl0]) ).
thf(zip_derived_cl17_121,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_122,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2925,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ ( pred @ n15 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n15 ) @ n16 ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl884,zip_derived_cl17,zip_derived_cl17]) ).
thf(zip_derived_cl7390,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n14 @ n16 ) ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl2925]) ).
thf(zip_derived_cl12359,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl7390]) ).
thf(zip_derived_cl12404,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl12359]) ).
thf(zip_derived_cl39_123,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_124,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl355,plain,
( ( sum @ n14 @ n17 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_125,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_126,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12453,plain,
( ( ( sum @ ( sum @ n15 @ n16 ) @ n10 )
!= ( sum @ ( sum @ n15 @ n17 ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12404,zip_derived_cl39,zip_derived_cl18,zip_derived_cl355,zip_derived_cl39,zip_derived_cl18]) ).
thf(zip_derived_cl12583,plain,
( ( ( sum @ ( sum @ n15 @ n16 ) @ n10 )
!= ( sum @ n11 @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl12453]) ).
thf(zip_derived_cl375,plain,
( ( sum @ n15 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl284,plain,
( ( sum @ n11 @ n9 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12600,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n15 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12583,zip_derived_cl375,zip_derived_cl264,zip_derived_cl284]) ).
thf('15',plain,
( ( sk_ != n16 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12600]) ).
thf(zip_derived_cl376_127,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_128,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl222,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705,plain,
( ( sk__1 = n9 )
<= ( sk__1 = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_129,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl796,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n9 ) ) @ ( sum @ ( pred @ n9 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl0]) ).
thf(zip_derived_cl11,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_130,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2351,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ ( pred @ n9 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n9 ) @ n10 ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl796,zip_derived_cl11,zip_derived_cl11]) ).
thf(zip_derived_cl5787,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n8 @ n10 ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl2351]) ).
thf(zip_derived_cl11335,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl5787]) ).
thf(zip_derived_cl11356,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl11335]) ).
thf(zip_derived_cl39_131,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_132,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_133,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_134,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11399,plain,
( ( ( sum @ ( sum @ n15 @ n10 ) @ ( sum @ n8 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11356,zip_derived_cl39,zip_derived_cl18,zip_derived_cl39,zip_derived_cl18]) ).
thf(zip_derived_cl229,plain,
( ( sum @ n8 @ n17 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12336,plain,
( ( ( sum @ ( sum @ n15 @ n10 ) @ n4 )
!= ( sum @ ( sum @ n15 @ n17 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11399,zip_derived_cl229]) ).
thf(zip_derived_cl12582,plain,
( ( ( sum @ ( sum @ n15 @ n10 ) @ n4 )
!= ( sum @ n11 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl12336]) ).
thf(zip_derived_cl369,plain,
( ( sum @ n15 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl293,plain,
( ( sum @ n11 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12598,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n9 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12582,zip_derived_cl369,zip_derived_cl132,zip_derived_cl293]) ).
thf('16',plain,
( ( sk_ != n16 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12598]) ).
thf(zip_derived_cl376_135,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_136,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl200,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl704,plain,
( ( sk__1 = n8 )
<= ( sk__1 = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_137,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl786,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n8 ) ) @ ( sum @ ( pred @ n8 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl704,zip_derived_cl0]) ).
thf(zip_derived_cl10,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_138,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2273,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ ( pred @ n8 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n8 ) @ n9 ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl786,zip_derived_cl10,zip_derived_cl10]) ).
thf(zip_derived_cl5520,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n7 @ n9 ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl2273]) ).
thf(zip_derived_cl11156,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl5520]) ).
thf(zip_derived_cl11177,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl11156]) ).
thf(zip_derived_cl39_139,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_140,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_141,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_142,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11220,plain,
( ( ( sum @ ( sum @ n15 @ n9 ) @ ( sum @ n7 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11177,zip_derived_cl39,zip_derived_cl18,zip_derived_cl39,zip_derived_cl18]) ).
thf(zip_derived_cl208,plain,
( ( sum @ n7 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12304,plain,
( ( ( sum @ ( sum @ n15 @ n9 ) @ n3 )
!= ( sum @ ( sum @ n15 @ n17 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11220,zip_derived_cl208]) ).
thf(zip_derived_cl12581,plain,
( ( ( sum @ ( sum @ n15 @ n9 ) @ n3 )
!= ( sum @ n11 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl12304]) ).
thf(zip_derived_cl368,plain,
( ( sum @ n15 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl291,plain,
( ( sum @ n11 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12596,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n8 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12581,zip_derived_cl368,zip_derived_cl110,zip_derived_cl291]) ).
thf('17',plain,
( ( sk_ != n16 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12596]) ).
thf(zip_derived_cl376_143,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_144,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl178,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl703,plain,
( ( sk__1 = n7 )
<= ( sk__1 = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_145,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl777,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n7 ) ) @ ( sum @ ( pred @ n7 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl703,zip_derived_cl0]) ).
thf(zip_derived_cl9,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_146,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2197,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ ( pred @ n7 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n7 ) @ n8 ) ) )
<= ( sk__1 = n7 ) ),
inference(demod,[status(thm)],[zip_derived_cl777,zip_derived_cl9,zip_derived_cl9]) ).
thf(zip_derived_cl5250,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n6 @ n8 ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl2197]) ).
thf(zip_derived_cl10971,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl5250]) ).
thf(zip_derived_cl10994,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl10971]) ).
thf(zip_derived_cl39_147,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_148,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_149,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_150,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11037,plain,
( ( ( sum @ ( sum @ n15 @ n8 ) @ ( sum @ n6 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10994,zip_derived_cl39,zip_derived_cl18,zip_derived_cl39,zip_derived_cl18]) ).
thf(zip_derived_cl187,plain,
( ( sum @ n6 @ n17 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12139,plain,
( ( ( sum @ ( sum @ n15 @ n8 ) @ n2 )
!= ( sum @ ( sum @ n15 @ n17 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11037,zip_derived_cl187]) ).
thf(zip_derived_cl12580,plain,
( ( ( sum @ ( sum @ n15 @ n8 ) @ n2 )
!= ( sum @ n11 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl12139]) ).
thf(zip_derived_cl367,plain,
( ( sum @ n15 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl289,plain,
( ( sum @ n11 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12594,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n7 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12580,zip_derived_cl367,zip_derived_cl88,zip_derived_cl289]) ).
thf('18',plain,
( ( sk_ != n16 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12594]) ).
thf(zip_derived_cl376_151,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_152,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl156,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl702,plain,
( ( sk__1 = n6 )
<= ( sk__1 = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_153,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl766,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n6 ) ) @ ( sum @ ( pred @ n6 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl0]) ).
thf(zip_derived_cl8,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_154,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2121,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ ( pred @ n6 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n6 ) @ n7 ) ) )
<= ( sk__1 = n6 ) ),
inference(demod,[status(thm)],[zip_derived_cl766,zip_derived_cl8,zip_derived_cl8]) ).
thf(zip_derived_cl4981,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n5 @ n7 ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl2121]) ).
thf(zip_derived_cl10788,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl4981]) ).
thf(zip_derived_cl10809,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl10788]) ).
thf(zip_derived_cl39_155,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_156,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_157,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_158,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10852,plain,
( ( ( sum @ ( sum @ n15 @ n7 ) @ ( sum @ n5 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10809,zip_derived_cl39,zip_derived_cl18,zip_derived_cl39,zip_derived_cl18]) ).
thf(zip_derived_cl166,plain,
( ( sum @ n5 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12116,plain,
( ( ( sum @ ( sum @ n15 @ n7 ) @ n1 )
!= ( sum @ ( sum @ n15 @ n17 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10852,zip_derived_cl166]) ).
thf(zip_derived_cl12579,plain,
( ( ( sum @ ( sum @ n15 @ n7 ) @ n1 )
!= ( sum @ n11 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl12116]) ).
thf(zip_derived_cl366,plain,
( ( sum @ n15 @ n7 )
= n1 ),
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_cl287,plain,
( ( sum @ n11 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12592,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n6 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12579,zip_derived_cl366,zip_derived_cl66,zip_derived_cl287]) ).
thf('19',plain,
( ( sk_ != n16 )
| ( sk__1 != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12592]) ).
thf(zip_derived_cl376_159,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_160,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl134,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl701,plain,
( ( sk__1 = n5 )
<= ( sk__1 = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_161,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl759,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n5 ) ) @ ( sum @ ( pred @ n5 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl701,zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_162,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2041,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ ( pred @ n5 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n5 ) @ n6 ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl759,zip_derived_cl7,zip_derived_cl7]) ).
thf(zip_derived_cl4709,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n4 @ n6 ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl2041]) ).
thf(zip_derived_cl10396,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl4709]) ).
thf(zip_derived_cl10415,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl10396]) ).
thf(zip_derived_cl39_163,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_164,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_165,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_166,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10458,plain,
( ( ( sum @ ( sum @ n15 @ n6 ) @ ( sum @ n4 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10415,zip_derived_cl39,zip_derived_cl18,zip_derived_cl39,zip_derived_cl18]) ).
thf(zip_derived_cl145,plain,
( ( sum @ n4 @ n17 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11983,plain,
( ( ( sum @ ( sum @ n15 @ n6 ) @ n0 )
!= ( sum @ ( sum @ n15 @ n17 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10458,zip_derived_cl145]) ).
thf(zip_derived_cl12578,plain,
( ( ( sum @ ( sum @ n15 @ n6 ) @ n0 )
!= ( sum @ n11 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl11983]) ).
thf(zip_derived_cl365,plain,
( ( sum @ n15 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl285,plain,
( ( sum @ n11 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12590,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n5 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12578,zip_derived_cl365,zip_derived_cl44,zip_derived_cl285]) ).
thf('20',plain,
( ( sk_ != n16 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12590]) ).
thf(zip_derived_cl733_167,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl712,plain,
( ( sk__1 = n16 )
<= ( sk__1 = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_168,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl901,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n16 ) ) @ ( sum @ ( pred @ n16 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl0]) ).
thf(zip_derived_cl18_169,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_170,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3009,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ ( pred @ n16 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n16 ) @ n17 ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl901,zip_derived_cl18,zip_derived_cl18]) ).
thf(zip_derived_cl3026,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n17 ) @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ ( sum @ ( pred @ n16 ) @ n17 ) ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl3009]) ).
thf(zip_derived_cl18_171,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_172,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3068,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n17 ) @ ( sum @ ( pred @ n16 ) @ n17 ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ n17 ) @ ( sum @ ( pred @ n16 ) @ n17 ) ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3026,zip_derived_cl18,zip_derived_cl18]) ).
thf('21',plain,
( ( sk_ != n16 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3068]) ).
thf(zip_derived_cl484_173,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442_174,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8719_175,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3620]) ).
thf(zip_derived_cl8739,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl8719]) ).
thf(zip_derived_cl42_176,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_177,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_178,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_179,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8782,plain,
( ( ( sum @ ( sum @ n18 @ n2 ) @ ( sum @ n0 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8739,zip_derived_cl42,zip_derived_cl21,zip_derived_cl42,zip_derived_cl21]) ).
thf(zip_derived_cl64,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11605,plain,
( ( ( sum @ ( sum @ n18 @ n2 ) @ n20 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8782,zip_derived_cl64]) ).
thf(zip_derived_cl13272,plain,
( ( ( sum @ ( sum @ n18 @ n2 ) @ n20 )
!= ( sum @ n17 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl11605]) ).
thf(zip_derived_cl424,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl403,plain,
( ( sum @ n17 @ n2 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13290,plain,
( ( ( sum @ n20 @ n20 )
!= n19 )
<= ( ( sk__1 = n1 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13272,zip_derived_cl424,zip_derived_cl403]) ).
thf(zip_derived_cl13930,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n1 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl13290]) ).
thf('22',plain,
( ( sk__1 != n1 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13930]) ).
thf(zip_derived_cl466,plain,
( ( sum @ n20 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8719_180,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3620]) ).
thf(zip_derived_cl8730,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl8719]) ).
thf(zip_derived_cl33_181,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_182,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_183,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_184,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8773,plain,
( ( ( sum @ ( sum @ n9 @ n2 ) @ ( sum @ n0 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8730,zip_derived_cl33,zip_derived_cl12,zip_derived_cl33,zip_derived_cl12]) ).
thf(zip_derived_cl235,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_185,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11596,plain,
( ( ( sum @ n11 @ n11 )
!= ( sum @ n20 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8773,zip_derived_cl235,zip_derived_cl55,zip_derived_cl244]) ).
thf(zip_derived_cl13740,plain,
( ( ( sum @ n11 @ n11 )
!= n1 )
<= ( ( sk__1 = n1 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl11596]) ).
thf(zip_derived_cl286,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13743,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n1 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13740,zip_derived_cl286]) ).
thf('23',plain,
( ( sk__1 != n1 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13743]) ).
thf(zip_derived_cl466_186,plain,
( ( sum @ n20 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8719_187,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3620]) ).
thf(zip_derived_cl8720,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl8719]) ).
thf(zip_derived_cl23_188,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_189,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_190,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_191,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8762,plain,
( ( ( sum @ ( sum @ n20 @ n2 ) @ n1 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8720,zip_derived_cl23,zip_derived_cl2,zip_derived_cl45,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl13739,plain,
( ( ( sum @ n1 @ n1 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl8762]) ).
thf(zip_derived_cl66_192,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_193,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_194,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13741,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n1 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13739,zip_derived_cl66,zip_derived_cl465,zip_derived_cl46]) ).
thf('24',plain,
( ( sk__1 != n1 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13741]) ).
thf(zip_derived_cl462_195,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl420_196,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8719_197,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3620]) ).
thf(zip_derived_cl8738,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl8719]) ).
thf(zip_derived_cl41_198,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_199,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_200,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_201,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8781,plain,
( ( ( sum @ ( sum @ n17 @ n2 ) @ ( sum @ n0 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8738,zip_derived_cl41,zip_derived_cl20,zip_derived_cl41,zip_derived_cl20]) ).
thf(zip_derived_cl63,plain,
( ( sum @ n0 @ n19 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11604,plain,
( ( ( sum @ ( sum @ n17 @ n2 ) @ n19 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8781,zip_derived_cl63]) ).
thf(zip_derived_cl13023,plain,
( ( ( sum @ ( sum @ n17 @ n2 ) @ n19 )
!= ( sum @ n15 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl11604]) ).
thf(zip_derived_cl403_202,plain,
( ( sum @ n17 @ n2 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl361_203,plain,
( ( sum @ n15 @ n2 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13040,plain,
( ( ( sum @ n19 @ n19 )
!= n17 )
<= ( ( sk__1 = n1 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13023,zip_derived_cl403,zip_derived_cl361]) ).
thf(zip_derived_cl13615,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n1 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl13040]) ).
thf('25',plain,
( ( sk__1 != n1 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13615]) ).
thf(zip_derived_cl445,plain,
( ( sum @ n19 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8719_204,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3620]) ).
thf(zip_derived_cl8740,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl8719]) ).
thf(zip_derived_cl43_205,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_206,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_207,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_208,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_209,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8783,plain,
( ( ( sum @ ( sum @ n19 @ n2 ) @ n0 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8740,zip_derived_cl43,zip_derived_cl22,zip_derived_cl44,zip_derived_cl43,zip_derived_cl22]) ).
thf(zip_derived_cl13530,plain,
( ( ( sum @ n0 @ n0 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl8783]) ).
thf(zip_derived_cl44_210,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_211,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl445_212,plain,
( ( sum @ n19 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13531,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n1 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13530,zip_derived_cl44,zip_derived_cl443,zip_derived_cl445]) ).
thf('26',plain,
( ( sk__1 != n1 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13531]) ).
thf(zip_derived_cl440_213,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl398_214,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8719_215,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3620]) ).
thf(zip_derived_cl8737,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl8719]) ).
thf(zip_derived_cl40_216,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_217,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_218,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_219,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8780,plain,
( ( ( sum @ ( sum @ n16 @ n2 ) @ ( sum @ n0 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8737,zip_derived_cl40,zip_derived_cl19,zip_derived_cl40,zip_derived_cl19]) ).
thf(zip_derived_cl62,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11603,plain,
( ( ( sum @ ( sum @ n16 @ n2 ) @ n18 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8780,zip_derived_cl62]) ).
thf(zip_derived_cl12799,plain,
( ( ( sum @ ( sum @ n16 @ n2 ) @ n18 )
!= ( sum @ n13 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl11603]) ).
thf(zip_derived_cl382,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl319,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12815,plain,
( ( ( sum @ n18 @ n18 )
!= n15 )
<= ( ( sk__1 = n1 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12799,zip_derived_cl382,zip_derived_cl319]) ).
thf(zip_derived_cl13251,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n1 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl12815]) ).
thf('27',plain,
( ( sk__1 != n1 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13251]) ).
thf(zip_derived_cl424_220,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8719_221,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3620]) ).
thf(zip_derived_cl8729,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl8719]) ).
thf(zip_derived_cl32_222,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_223,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_224,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_225,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8772,plain,
( ( ( sum @ ( sum @ n8 @ n2 ) @ ( sum @ n0 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8729,zip_derived_cl32,zip_derived_cl11,zip_derived_cl32,zip_derived_cl11]) ).
thf(zip_derived_cl214,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_226,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11595,plain,
( ( ( sum @ n10 @ n10 )
!= ( sum @ n18 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8772,zip_derived_cl214,zip_derived_cl54,zip_derived_cl222]) ).
thf(zip_derived_cl13184,plain,
( ( ( sum @ n10 @ n10 )
!= n20 )
<= ( ( sk__1 = n1 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl11595]) ).
thf(zip_derived_cl264_227,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13185,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n1 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13184,zip_derived_cl264]) ).
thf('28',plain,
( ( sk__1 != n1 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13185]) ).
thf(zip_derived_cl396_228,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_229,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_230,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8719_231,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3620]) ).
thf(zip_derived_cl8735,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl8719]) ).
thf(zip_derived_cl38_232,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_233,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_234,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_235,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8778,plain,
( ( ( sum @ ( sum @ n14 @ n2 ) @ ( sum @ n0 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8735,zip_derived_cl38,zip_derived_cl17,zip_derived_cl38,zip_derived_cl17]) ).
thf(zip_derived_cl60,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11601,plain,
( ( ( sum @ ( sum @ n14 @ n2 ) @ n16 )
!= ( sum @ ( sum @ n14 @ n16 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8778,zip_derived_cl60]) ).
thf(zip_derived_cl12360,plain,
( ( ( sum @ ( sum @ n14 @ n2 ) @ n16 )
!= ( sum @ n9 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl11601]) ).
thf(zip_derived_cl340,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl235_236,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12371,plain,
( ( ( sum @ n16 @ n16 )
!= n11 )
<= ( ( sk__1 = n1 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12360,zip_derived_cl340,zip_derived_cl235]) ).
thf(zip_derived_cl12782,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n1 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl12371]) ).
thf('29',plain,
( ( sk__1 != n1 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12782]) ).
thf(zip_derived_cl382_237,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8719_238,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3620]) ).
thf(zip_derived_cl8728,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl8719]) ).
thf(zip_derived_cl31_239,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_240,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_241,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_242,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8771,plain,
( ( ( sum @ ( sum @ n7 @ n2 ) @ ( sum @ n0 @ n9 ) )
!= ( sum @ ( sum @ n7 @ n9 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8728,zip_derived_cl31,zip_derived_cl10,zip_derived_cl31,zip_derived_cl10]) ).
thf(zip_derived_cl193,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_243,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_244,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11594,plain,
( ( n18
!= ( sum @ n16 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8771,zip_derived_cl193,zip_derived_cl53,zip_derived_cl242,zip_derived_cl200]) ).
thf(zip_derived_cl12708,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n1 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl11594]) ).
thf('30',plain,
( ( sk__1 != n1 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12708]) ).
thf(zip_derived_cl374_245,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_246,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8719_247,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3620]) ).
thf(zip_derived_cl8734,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl8719]) ).
thf(zip_derived_cl37_248,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_249,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_250,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_251,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8777,plain,
( ( ( sum @ ( sum @ n13 @ n2 ) @ ( sum @ n0 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8734,zip_derived_cl37,zip_derived_cl16,zip_derived_cl37,zip_derived_cl16]) ).
thf(zip_derived_cl59,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11600,plain,
( ( ( sum @ ( sum @ n13 @ n2 ) @ n15 )
!= ( sum @ ( sum @ n13 @ n15 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8777,zip_derived_cl59]) ).
thf(zip_derived_cl12163,plain,
( ( ( sum @ ( sum @ n13 @ n2 ) @ n15 )
!= ( sum @ n7 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl11600]) ).
thf(zip_derived_cl319_252,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl193_253,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12172,plain,
( ( ( sum @ n15 @ n15 )
!= n9 )
<= ( ( sk__1 = n1 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12163,zip_derived_cl319,zip_derived_cl193]) ).
thf(zip_derived_cl12557,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n1 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl12172]) ).
thf('31',plain,
( ( sk__1 != n1 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12557]) ).
thf(zip_derived_cl352_254,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_255,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8719_256,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3620]) ).
thf(zip_derived_cl8733,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl8719]) ).
thf(zip_derived_cl36_257,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_258,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_259,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_260,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8776,plain,
( ( ( sum @ ( sum @ n12 @ n2 ) @ ( sum @ n0 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8733,zip_derived_cl36,zip_derived_cl15,zip_derived_cl36,zip_derived_cl15]) ).
thf(zip_derived_cl58,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11599,plain,
( ( ( sum @ ( sum @ n12 @ n2 ) @ n14 )
!= ( sum @ ( sum @ n12 @ n14 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8776,zip_derived_cl58]) ).
thf(zip_derived_cl11987,plain,
( ( ( sum @ ( sum @ n12 @ n2 ) @ n14 )
!= ( sum @ n5 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl11599]) ).
thf(zip_derived_cl298,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl151,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11994,plain,
( ( ( sum @ n14 @ n14 )
!= n7 )
<= ( ( sk__1 = n1 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11987,zip_derived_cl298,zip_derived_cl151]) ).
thf(zip_derived_cl12346,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n1 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl11994]) ).
thf('32',plain,
( ( sk__1 != n1 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12346]) ).
thf(zip_derived_cl340_261,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8719_262,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3620]) ).
thf(zip_derived_cl8727,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl8719]) ).
thf(zip_derived_cl30_263,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_264,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_265,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_266,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8770,plain,
( ( ( sum @ ( sum @ n6 @ n2 ) @ ( sum @ n0 @ n8 ) )
!= ( sum @ ( sum @ n6 @ n8 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8727,zip_derived_cl30,zip_derived_cl9,zip_derived_cl30,zip_derived_cl9]) ).
thf(zip_derived_cl172,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_267,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_268,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11593,plain,
( ( n16
!= ( sum @ n14 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8770,zip_derived_cl172,zip_derived_cl52,zip_derived_cl220,zip_derived_cl178]) ).
thf(zip_derived_cl12275,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n1 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl340,zip_derived_cl11593]) ).
thf('33',plain,
( ( sk__1 != n1 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12275]) ).
thf(zip_derived_cl330_269,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_270,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8719_271,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3620]) ).
thf(zip_derived_cl8732,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl8719]) ).
thf(zip_derived_cl35_272,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_273,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_274,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_275,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8775,plain,
( ( ( sum @ ( sum @ n11 @ n2 ) @ ( sum @ n0 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8732,zip_derived_cl35,zip_derived_cl14,zip_derived_cl35,zip_derived_cl14]) ).
thf(zip_derived_cl57,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11598,plain,
( ( ( sum @ ( sum @ n11 @ n2 ) @ n13 )
!= ( sum @ ( sum @ n11 @ n13 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8775,zip_derived_cl57]) ).
thf(zip_derived_cl11810,plain,
( ( ( sum @ ( sum @ n11 @ n2 ) @ n13 )
!= ( sum @ n3 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl11598]) ).
thf(zip_derived_cl277_276,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11815,plain,
( ( ( sum @ n13 @ n13 )
!= n5 )
<= ( ( sk__1 = n1 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11810,zip_derived_cl277,zip_derived_cl109]) ).
thf(zip_derived_cl12149,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n1 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl11815]) ).
thf('34',plain,
( ( sk__1 != n1 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12149]) ).
thf(zip_derived_cl308_277,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_278,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8719_279,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3620]) ).
thf(zip_derived_cl8731,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl8719]) ).
thf(zip_derived_cl34_280,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_281,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_282,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_283,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8774,plain,
( ( ( sum @ ( sum @ n10 @ n2 ) @ ( sum @ n0 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8731,zip_derived_cl34,zip_derived_cl13,zip_derived_cl34,zip_derived_cl13]) ).
thf(zip_derived_cl256,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11597,plain,
( ( ( sum @ n12 @ n12 )
!= ( sum @ ( sum @ n10 @ n12 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8774,zip_derived_cl256,zip_derived_cl56]) ).
thf(zip_derived_cl11635,plain,
( ( ( sum @ n12 @ n12 )
!= ( sum @ n1 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl11597]) ).
thf(zip_derived_cl67,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11638,plain,
( ( ( sum @ n12 @ n12 )
!= n3 )
<= ( ( sk__1 = n1 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11635,zip_derived_cl67]) ).
thf(zip_derived_cl11974,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n1 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl11638]) ).
thf('35',plain,
( ( sk__1 != n1 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11974]) ).
thf(zip_derived_cl298_284,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8719_285,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3620]) ).
thf(zip_derived_cl8726,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl8719]) ).
thf(zip_derived_cl29_286,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_287,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_288,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_289,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8769,plain,
( ( ( sum @ ( sum @ n5 @ n2 ) @ ( sum @ n0 @ n7 ) )
!= ( sum @ ( sum @ n5 @ n7 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8726,zip_derived_cl29,zip_derived_cl8,zip_derived_cl29,zip_derived_cl8]) ).
thf(zip_derived_cl151_290,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_291,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_292,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11592,plain,
( ( n14
!= ( sum @ n12 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8769,zip_derived_cl151,zip_derived_cl51,zip_derived_cl198,zip_derived_cl156]) ).
thf(zip_derived_cl11918,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n1 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl298,zip_derived_cl11592]) ).
thf('36',plain,
( ( sk__1 != n1 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11918]) ).
thf(zip_derived_cl722,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8719_293,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3620]) ).
thf(zip_derived_cl8725,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl8719]) ).
thf(zip_derived_cl28_294,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_295,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_296,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_297,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8768,plain,
( ( ( sum @ ( sum @ n4 @ n2 ) @ ( sum @ n0 @ n6 ) )
!= ( sum @ ( sum @ n4 @ n6 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8725,zip_derived_cl28,zip_derived_cl7,zip_derived_cl28,zip_derived_cl7]) ).
thf(zip_derived_cl130,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_298,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_299,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_300,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11590,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n1 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8768,zip_derived_cl130,zip_derived_cl50,zip_derived_cl176,zip_derived_cl134,zip_derived_cl256]) ).
thf('37',plain,
( ( sk__1 != n1 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11590]) ).
thf(zip_derived_cl721,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8719_301,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3620]) ).
thf(zip_derived_cl8724,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl8719]) ).
thf(zip_derived_cl27_302,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_303,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_304,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_305,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8767,plain,
( ( ( sum @ ( sum @ n3 @ n2 ) @ ( sum @ n0 @ n5 ) )
!= ( sum @ ( sum @ n3 @ n5 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8724,zip_derived_cl27,zip_derived_cl6,zip_derived_cl27,zip_derived_cl6]) ).
thf(zip_derived_cl109_306,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_307,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_308,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214_309,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11588,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n1 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8767,zip_derived_cl109,zip_derived_cl49,zip_derived_cl154,zip_derived_cl112,zip_derived_cl214]) ).
thf('38',plain,
( ( sk__1 != n1 )
| ( sk_ != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11588]) ).
thf(zip_derived_cl720,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8719_310,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3620]) ).
thf(zip_derived_cl8723,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl8719]) ).
thf(zip_derived_cl26_311,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_312,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_313,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_314,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8766,plain,
( ( ( sum @ ( sum @ n2 @ n2 ) @ ( sum @ n0 @ n4 ) )
!= ( sum @ ( sum @ n2 @ n4 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8723,zip_derived_cl26,zip_derived_cl5,zip_derived_cl26,zip_derived_cl5]) ).
thf(zip_derived_cl88_315,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_316,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_317,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172_318,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11586,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n1 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8766,zip_derived_cl88,zip_derived_cl48,zip_derived_cl132,zip_derived_cl90,zip_derived_cl172]) ).
thf('39',plain,
( ( sk__1 != n1 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11586]) ).
thf(zip_derived_cl719,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8719_319,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n2 ) @ ( sum @ n0 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3620]) ).
thf(zip_derived_cl8722,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl8719]) ).
thf(zip_derived_cl25_320,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_321,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_322,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_323,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8765,plain,
( ( ( sum @ ( sum @ n1 @ n2 ) @ ( sum @ n0 @ n3 ) )
!= ( sum @ ( sum @ n1 @ n3 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8722,zip_derived_cl25,zip_derived_cl4,zip_derived_cl25,zip_derived_cl4]) ).
thf(zip_derived_cl67_324,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_325,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_326,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_327,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11584,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n1 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8765,zip_derived_cl67,zip_derived_cl47,zip_derived_cl110,zip_derived_cl68,zip_derived_cl130]) ).
thf('40',plain,
( ( sk__1 != n1 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11584]) ).
thf(zip_derived_cl697_328,plain,
( ( sk__1 = n1 )
<= ( sk__1 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl718,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl0_329,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1014,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl0]) ).
thf(zip_derived_cl3_330,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_331,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1017,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n2 ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ n2 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1014,zip_derived_cl3,zip_derived_cl3]) ).
thf(zip_derived_cl1364,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ ( sum @ ( pred @ n1 ) @ n2 ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ n2 ) @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl1017]) ).
thf(zip_derived_cl3_332,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_333,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1408,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n2 ) @ ( sum @ ( pred @ n1 ) @ n2 ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ n2 ) @ ( sum @ ( pred @ n1 ) @ n2 ) ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1364,zip_derived_cl3,zip_derived_cl3]) ).
thf('41',plain,
( ( sk__1 != n1 )
| ( sk_ != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1408]) ).
thf(zip_derived_cl736_334,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13642_335,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl3357]) ).
thf(zip_derived_cl13672,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n1 ) @ ( sum @ n20 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl13642]) ).
thf(zip_derived_cl42_336,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl423,plain,
( ( sum @ n18 @ n1 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_337,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_338,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_339,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442_340,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl401,plain,
( ( sum @ n17 @ n0 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13715,plain,
( ( ( sum @ n19 @ ( sum @ n20 @ n20 ) )
!= n17 )
<= ( ( sk__1 = n0 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13672,zip_derived_cl42,zip_derived_cl423,zip_derived_cl21,zip_derived_cl42,zip_derived_cl21,zip_derived_cl442,zip_derived_cl401]) ).
thf(zip_derived_cl484_341,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl462_342,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13989,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n0 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13715,zip_derived_cl484,zip_derived_cl462]) ).
thf('42',plain,
( ( sk_ != n19 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13989]) ).
thf(zip_derived_cl736_343,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13325_344,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl8452]) ).
thf(zip_derived_cl13463,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n0 ) @ ( sum @ n19 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl13325]) ).
thf(zip_derived_cl42_345,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl422,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_346,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_347,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_348,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442_349,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl420_350,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13505,plain,
( ( ( sum @ n18 @ ( sum @ n19 @ n20 ) )
!= n15 )
<= ( ( sk__1 = n20 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13463,zip_derived_cl42,zip_derived_cl422,zip_derived_cl21,zip_derived_cl42,zip_derived_cl21,zip_derived_cl442,zip_derived_cl420]) ).
thf(zip_derived_cl463,plain,
( ( sum @ n19 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_351,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13805,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n20 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13505,zip_derived_cl463,zip_derived_cl440]) ).
thf('43',plain,
( ( sk_ != n19 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13805]) ).
thf(zip_derived_cl442_352,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_353,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13022_354,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl8098]) ).
thf(zip_derived_cl13091,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl13022]) ).
thf(zip_derived_cl42_355,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_356,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl421,plain,
( ( sum @ n17 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_357,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_358,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13147,plain,
( ( ( sum @ ( sum @ n18 @ n19 ) @ n16 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13091,zip_derived_cl42,zip_derived_cl21,zip_derived_cl421,zip_derived_cl42,zip_derived_cl21]) ).
thf(zip_derived_cl13289,plain,
( ( ( sum @ ( sum @ n18 @ n19 ) @ n16 )
!= ( sum @ n17 @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl13147]) ).
thf(zip_derived_cl441,plain,
( ( sum @ n18 @ n19 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl396_359,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416,plain,
( ( sum @ n17 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13323,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n18 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13289,zip_derived_cl441,zip_derived_cl396,zip_derived_cl416]) ).
thf('44',plain,
( ( sk_ != n19 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13323]) ).
thf(zip_derived_cl442_360,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_361,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12798_362,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7922]) ).
thf(zip_derived_cl12863,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl12798]) ).
thf(zip_derived_cl42_363,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_364,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_365,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_366,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12917,plain,
( ( ( sum @ ( sum @ n18 @ n18 ) @ ( sum @ n16 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12863,zip_derived_cl42,zip_derived_cl21,zip_derived_cl42,zip_derived_cl21]) ).
thf(zip_derived_cl400,plain,
( ( sum @ n16 @ n20 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12968,plain,
( ( ( sum @ ( sum @ n18 @ n18 ) @ n15 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12917,zip_derived_cl400]) ).
thf(zip_derived_cl13288,plain,
( ( ( sum @ ( sum @ n18 @ n18 ) @ n15 )
!= ( sum @ n17 @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl12968]) ).
thf(zip_derived_cl440_367,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374_368,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl414,plain,
( ( sum @ n17 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13321,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n17 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13288,zip_derived_cl440,zip_derived_cl374,zip_derived_cl414]) ).
thf('45',plain,
( ( sk_ != n19 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13321]) ).
thf(zip_derived_cl442_369,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_370,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl376_371,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_372,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3009_373,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ ( pred @ n16 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n16 ) @ n17 ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl901,zip_derived_cl18,zip_derived_cl18]) ).
thf(zip_derived_cl7656,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n15 @ n17 ) ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl3009]) ).
thf(zip_derived_cl12573,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl7656]) ).
thf(zip_derived_cl12625,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl12573]) ).
thf(zip_derived_cl42_374,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_375,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_376,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_377,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12676,plain,
( ( ( sum @ ( sum @ n18 @ n17 ) @ ( sum @ n15 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12625,zip_derived_cl42,zip_derived_cl21,zip_derived_cl42,zip_derived_cl21]) ).
thf(zip_derived_cl379_378,plain,
( ( sum @ n15 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12965,plain,
( ( ( sum @ ( sum @ n18 @ n17 ) @ n14 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12676,zip_derived_cl379]) ).
thf(zip_derived_cl13287,plain,
( ( ( sum @ ( sum @ n18 @ n17 ) @ n14 )
!= ( sum @ n17 @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl12965]) ).
thf(zip_derived_cl439_379,plain,
( ( sum @ n18 @ n17 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_380,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl412,plain,
( ( sum @ n17 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13319,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n16 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13287,zip_derived_cl439,zip_derived_cl352,zip_derived_cl412]) ).
thf('46',plain,
( ( sk_ != n19 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13319]) ).
thf(zip_derived_cl442_381,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_382,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12359_383,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl7390]) ).
thf(zip_derived_cl12407,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl12359]) ).
thf(zip_derived_cl42_384,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_385,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_386,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_387,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12456,plain,
( ( ( sum @ ( sum @ n18 @ n16 ) @ ( sum @ n14 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12407,zip_derived_cl42,zip_derived_cl21,zip_derived_cl42,zip_derived_cl21]) ).
thf(zip_derived_cl358,plain,
( ( sum @ n14 @ n20 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12959,plain,
( ( ( sum @ ( sum @ n18 @ n16 ) @ n13 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12456,zip_derived_cl358]) ).
thf(zip_derived_cl13286,plain,
( ( ( sum @ ( sum @ n18 @ n16 ) @ n13 )
!= ( sum @ n17 @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl12959]) ).
thf(zip_derived_cl438,plain,
( ( sum @ n18 @ n16 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330_388,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl410,plain,
( ( sum @ n17 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13317,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n15 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13286,zip_derived_cl438,zip_derived_cl330,zip_derived_cl410]) ).
thf('47',plain,
( ( sk_ != n19 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13317]) ).
thf(zip_derived_cl442_389,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_390,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12162_391,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl7123]) ).
thf(zip_derived_cl12202,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl12162]) ).
thf(zip_derived_cl42_392,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_393,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_394,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_395,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12248,plain,
( ( ( sum @ ( sum @ n18 @ n15 ) @ ( sum @ n13 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12202,zip_derived_cl42,zip_derived_cl21,zip_derived_cl42,zip_derived_cl21]) ).
thf(zip_derived_cl337,plain,
( ( sum @ n13 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12769,plain,
( ( ( sum @ ( sum @ n18 @ n15 ) @ n12 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12248,zip_derived_cl337]) ).
thf(zip_derived_cl13285,plain,
( ( ( sum @ ( sum @ n18 @ n15 ) @ n12 )
!= ( sum @ n17 @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl12769]) ).
thf(zip_derived_cl437,plain,
( ( sum @ n18 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308_396,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl408,plain,
( ( sum @ n17 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13315,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n14 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13285,zip_derived_cl437,zip_derived_cl308,zip_derived_cl408]) ).
thf('48',plain,
( ( sk_ != n19 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13315]) ).
thf(zip_derived_cl442_397,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_398,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11986_399,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6856]) ).
thf(zip_derived_cl12021,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl11986]) ).
thf(zip_derived_cl42_400,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_401,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_402,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_403,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12066,plain,
( ( ( sum @ ( sum @ n18 @ n14 ) @ ( sum @ n12 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12021,zip_derived_cl42,zip_derived_cl21,zip_derived_cl42,zip_derived_cl21]) ).
thf(zip_derived_cl316,plain,
( ( sum @ n12 @ n20 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12754,plain,
( ( ( sum @ ( sum @ n18 @ n14 ) @ n11 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12066,zip_derived_cl316]) ).
thf(zip_derived_cl13284,plain,
( ( ( sum @ ( sum @ n18 @ n14 ) @ n11 )
!= ( sum @ n17 @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl12754]) ).
thf(zip_derived_cl436,plain,
( ( sum @ n18 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_404,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl406,plain,
( ( sum @ n17 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13313,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n13 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13284,zip_derived_cl436,zip_derived_cl286,zip_derived_cl406]) ).
thf('49',plain,
( ( sk_ != n19 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13313]) ).
thf(zip_derived_cl442_405,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_406,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11809_407,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl6589]) ).
thf(zip_derived_cl11840,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl11809]) ).
thf(zip_derived_cl42_408,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_409,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_410,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_411,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11884,plain,
( ( ( sum @ ( sum @ n18 @ n13 ) @ ( sum @ n11 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11840,zip_derived_cl42,zip_derived_cl21,zip_derived_cl42,zip_derived_cl21]) ).
thf(zip_derived_cl295_412,plain,
( ( sum @ n11 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12733,plain,
( ( ( sum @ ( sum @ n18 @ n13 ) @ n10 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11884,zip_derived_cl295]) ).
thf(zip_derived_cl13283,plain,
( ( ( sum @ ( sum @ n18 @ n13 ) @ n10 )
!= ( sum @ n17 @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl12733]) ).
thf(zip_derived_cl435,plain,
( ( sum @ n18 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_413,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl404,plain,
( ( sum @ n17 @ n3 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13311,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n12 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13283,zip_derived_cl435,zip_derived_cl264,zip_derived_cl404]) ).
thf('50',plain,
( ( sk_ != n19 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13311]) ).
thf(zip_derived_cl442_414,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_415,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11633_416,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6321]) ).
thf(zip_derived_cl11661,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl11633]) ).
thf(zip_derived_cl42_417,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_418,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_419,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_420,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11704,plain,
( ( ( sum @ ( sum @ n18 @ n12 ) @ ( sum @ n10 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11661,zip_derived_cl42,zip_derived_cl21,zip_derived_cl42,zip_derived_cl21]) ).
thf(zip_derived_cl274,plain,
( ( sum @ n10 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12533,plain,
( ( ( sum @ ( sum @ n18 @ n12 ) @ n9 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11704,zip_derived_cl274]) ).
thf(zip_derived_cl13282,plain,
( ( ( sum @ ( sum @ n18 @ n12 ) @ n9 )
!= ( sum @ n17 @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl12533]) ).
thf(zip_derived_cl434,plain,
( ( sum @ n18 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_421,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl402,plain,
( ( sum @ n17 @ n1 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13309,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n11 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13282,zip_derived_cl434,zip_derived_cl242,zip_derived_cl402]) ).
thf('51',plain,
( ( sk__1 != n11 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13309]) ).
thf(zip_derived_cl442_422,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_423,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11489_424,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl6054]) ).
thf(zip_derived_cl11509,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl11489]) ).
thf(zip_derived_cl42_425,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_426,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_427,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_428,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11552,plain,
( ( ( sum @ ( sum @ n18 @ n11 ) @ ( sum @ n9 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11509,zip_derived_cl42,zip_derived_cl21,zip_derived_cl42,zip_derived_cl21]) ).
thf(zip_derived_cl253,plain,
( ( sum @ n9 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12511,plain,
( ( ( sum @ ( sum @ n18 @ n11 ) @ n8 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11552,zip_derived_cl253]) ).
thf(zip_derived_cl13281,plain,
( ( ( sum @ ( sum @ n18 @ n11 ) @ n8 )
!= ( sum @ n17 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl12511]) ).
thf(zip_derived_cl433,plain,
( ( sum @ n18 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_429,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl421_430,plain,
( ( sum @ n17 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13307,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n10 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13281,zip_derived_cl433,zip_derived_cl220,zip_derived_cl421]) ).
thf('52',plain,
( ( sk_ != n19 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13307]) ).
thf(zip_derived_cl442_431,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_432,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11335_433,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl5787]) ).
thf(zip_derived_cl11359,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl11335]) ).
thf(zip_derived_cl42_434,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_435,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_436,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_437,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11402,plain,
( ( ( sum @ ( sum @ n18 @ n10 ) @ ( sum @ n8 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11359,zip_derived_cl42,zip_derived_cl21,zip_derived_cl42,zip_derived_cl21]) ).
thf(zip_derived_cl232,plain,
( ( sum @ n8 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12486,plain,
( ( ( sum @ ( sum @ n18 @ n10 ) @ n7 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11402,zip_derived_cl232]) ).
thf(zip_derived_cl13280,plain,
( ( ( sum @ ( sum @ n18 @ n10 ) @ n7 )
!= ( sum @ n17 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl12486]) ).
thf(zip_derived_cl432,plain,
( ( sum @ n18 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_438,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl419,plain,
( ( sum @ n17 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13305,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n9 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13280,zip_derived_cl432,zip_derived_cl198,zip_derived_cl419]) ).
thf('53',plain,
( ( sk_ != n19 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13305]) ).
thf(zip_derived_cl442_439,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_440,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11156_441,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl5520]) ).
thf(zip_derived_cl11180,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl11156]) ).
thf(zip_derived_cl42_442,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_443,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_444,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_445,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11223,plain,
( ( ( sum @ ( sum @ n18 @ n9 ) @ ( sum @ n7 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11180,zip_derived_cl42,zip_derived_cl21,zip_derived_cl42,zip_derived_cl21]) ).
thf(zip_derived_cl211,plain,
( ( sum @ n7 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12307,plain,
( ( ( sum @ ( sum @ n18 @ n9 ) @ n6 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11223,zip_derived_cl211]) ).
thf(zip_derived_cl13279,plain,
( ( ( sum @ ( sum @ n18 @ n9 ) @ n6 )
!= ( sum @ n17 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl12307]) ).
thf(zip_derived_cl431,plain,
( ( sum @ n18 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_446,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl417,plain,
( ( sum @ n17 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13303,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n8 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13279,zip_derived_cl431,zip_derived_cl176,zip_derived_cl417]) ).
thf('54',plain,
( ( sk_ != n19 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13303]) ).
thf(zip_derived_cl442_447,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_448,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10971_449,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl5250]) ).
thf(zip_derived_cl10997,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl10971]) ).
thf(zip_derived_cl42_450,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_451,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_452,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_453,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11040,plain,
( ( ( sum @ ( sum @ n18 @ n8 ) @ ( sum @ n6 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10997,zip_derived_cl42,zip_derived_cl21,zip_derived_cl42,zip_derived_cl21]) ).
thf(zip_derived_cl190,plain,
( ( sum @ n6 @ n20 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12142,plain,
( ( ( sum @ ( sum @ n18 @ n8 ) @ n5 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11040,zip_derived_cl190]) ).
thf(zip_derived_cl13278,plain,
( ( ( sum @ ( sum @ n18 @ n8 ) @ n5 )
!= ( sum @ n17 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl12142]) ).
thf(zip_derived_cl430,plain,
( ( sum @ n18 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_454,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl415,plain,
( ( sum @ n17 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13301,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n7 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13278,zip_derived_cl430,zip_derived_cl154,zip_derived_cl415]) ).
thf('55',plain,
( ( sk_ != n19 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13301]) ).
thf(zip_derived_cl442_455,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_456,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10788_457,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl4981]) ).
thf(zip_derived_cl10812,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl10788]) ).
thf(zip_derived_cl42_458,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_459,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_460,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_461,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10855,plain,
( ( ( sum @ ( sum @ n18 @ n7 ) @ ( sum @ n5 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10812,zip_derived_cl42,zip_derived_cl21,zip_derived_cl42,zip_derived_cl21]) ).
thf(zip_derived_cl169,plain,
( ( sum @ n5 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12119,plain,
( ( ( sum @ ( sum @ n18 @ n7 ) @ n4 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10855,zip_derived_cl169]) ).
thf(zip_derived_cl13277,plain,
( ( ( sum @ ( sum @ n18 @ n7 ) @ n4 )
!= ( sum @ n17 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl12119]) ).
thf(zip_derived_cl429,plain,
( ( sum @ n18 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_462,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl413,plain,
( ( sum @ n17 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13299,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n6 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13277,zip_derived_cl429,zip_derived_cl132,zip_derived_cl413]) ).
thf('56',plain,
( ( sk_ != n19 )
| ( sk__1 != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13299]) ).
thf(zip_derived_cl442_463,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_464,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10396_465,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl4709]) ).
thf(zip_derived_cl10418,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl10396]) ).
thf(zip_derived_cl42_466,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_467,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_468,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_469,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10461,plain,
( ( ( sum @ ( sum @ n18 @ n6 ) @ ( sum @ n4 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10418,zip_derived_cl42,zip_derived_cl21,zip_derived_cl42,zip_derived_cl21]) ).
thf(zip_derived_cl148,plain,
( ( sum @ n4 @ n20 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12092,plain,
( ( ( sum @ ( sum @ n18 @ n6 ) @ n3 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10461,zip_derived_cl148]) ).
thf(zip_derived_cl13276,plain,
( ( ( sum @ ( sum @ n18 @ n6 ) @ n3 )
!= ( sum @ n17 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl12092]) ).
thf(zip_derived_cl428,plain,
( ( sum @ n18 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_470,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl411,plain,
( ( sum @ n17 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13297,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n5 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13276,zip_derived_cl428,zip_derived_cl110,zip_derived_cl411]) ).
thf('57',plain,
( ( sk_ != n19 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13297]) ).
thf(zip_derived_cl442_471,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_472,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9908_473,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4440]) ).
thf(zip_derived_cl9928,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl9908]) ).
thf(zip_derived_cl42_474,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_475,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_476,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_477,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9971,plain,
( ( ( sum @ ( sum @ n18 @ n5 ) @ ( sum @ n3 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9928,zip_derived_cl42,zip_derived_cl21,zip_derived_cl42,zip_derived_cl21]) ).
thf(zip_derived_cl127,plain,
( ( sum @ n3 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11937,plain,
( ( ( sum @ ( sum @ n18 @ n5 ) @ n2 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9971,zip_derived_cl127]) ).
thf(zip_derived_cl13275,plain,
( ( ( sum @ ( sum @ n18 @ n5 ) @ n2 )
!= ( sum @ n17 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl11937]) ).
thf(zip_derived_cl427,plain,
( ( sum @ n18 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_478,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl409,plain,
( ( sum @ n17 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13295,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n4 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13275,zip_derived_cl427,zip_derived_cl88,zip_derived_cl409]) ).
thf('58',plain,
( ( sk_ != n19 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13295]) ).
thf(zip_derived_cl442_479,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_480,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9494_481,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl4167]) ).
thf(zip_derived_cl9514,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl9494]) ).
thf(zip_derived_cl42_482,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_483,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_484,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_485,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9557,plain,
( ( ( sum @ ( sum @ n18 @ n4 ) @ ( sum @ n2 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9514,zip_derived_cl42,zip_derived_cl21,zip_derived_cl42,zip_derived_cl21]) ).
thf(zip_derived_cl106,plain,
( ( sum @ n2 @ n20 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11788,plain,
( ( ( sum @ ( sum @ n18 @ n4 ) @ n1 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9557,zip_derived_cl106]) ).
thf(zip_derived_cl13274,plain,
( ( ( sum @ ( sum @ n18 @ n4 ) @ n1 )
!= ( sum @ n17 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl11788]) ).
thf(zip_derived_cl426,plain,
( ( sum @ n18 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_486,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407,plain,
( ( sum @ n17 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13293,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n3 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13274,zip_derived_cl426,zip_derived_cl66,zip_derived_cl407]) ).
thf('59',plain,
( ( sk__1 != n3 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13293]) ).
thf(zip_derived_cl442_487,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_488,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8898_489,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl3884]) ).
thf(zip_derived_cl8918,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl8898]) ).
thf(zip_derived_cl42_490,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_491,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_492,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_493,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8961,plain,
( ( ( sum @ ( sum @ n18 @ n3 ) @ ( sum @ n1 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8918,zip_derived_cl42,zip_derived_cl21,zip_derived_cl42,zip_derived_cl21]) ).
thf(zip_derived_cl85,plain,
( ( sum @ n1 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11750,plain,
( ( ( sum @ ( sum @ n18 @ n3 ) @ n0 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8961,zip_derived_cl85]) ).
thf(zip_derived_cl13273,plain,
( ( ( sum @ ( sum @ n18 @ n3 ) @ n0 )
!= ( sum @ n17 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl11750]) ).
thf(zip_derived_cl425,plain,
( ( sum @ n18 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_494,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405,plain,
( ( sum @ n17 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13291,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n2 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13273,zip_derived_cl425,zip_derived_cl44,zip_derived_cl405]) ).
thf('60',plain,
( ( sk_ != n19 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13291]) ).
thf(zip_derived_cl736_495,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl3269_496,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ ( pred @ n19 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n19 ) @ n20 ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl967,zip_derived_cl21,zip_derived_cl21]) ).
thf(zip_derived_cl3289,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n20 ) @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ ( sum @ ( pred @ n19 ) @ n20 ) ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl3269]) ).
thf(zip_derived_cl21_497,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_498,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3331,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n20 ) @ ( sum @ ( pred @ n19 ) @ n20 ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ n20 ) @ ( sum @ ( pred @ n19 ) @ n20 ) ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3289,zip_derived_cl21,zip_derived_cl21]) ).
thf('61',plain,
( ( sk_ != n19 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3331]) ).
thf(zip_derived_cl735_499,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13642_500,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl3357]) ).
thf(zip_derived_cl13671,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n1 ) @ ( sum @ n20 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl13642]) ).
thf(zip_derived_cl41_501,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl402_502,plain,
( ( sum @ n17 @ n1 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_503,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_504,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_505,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl420_506,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl359_507,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13714,plain,
( ( ( sum @ n18 @ ( sum @ n20 @ n19 ) )
!= n15 )
<= ( ( sk__1 = n0 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13671,zip_derived_cl41,zip_derived_cl402,zip_derived_cl20,zip_derived_cl41,zip_derived_cl20,zip_derived_cl420,zip_derived_cl359]) ).
thf(zip_derived_cl483,plain,
( ( sum @ n20 @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_508,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13985,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n0 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13714,zip_derived_cl483,zip_derived_cl440]) ).
thf('62',plain,
( ( sk__1 != n0 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13985]) ).
thf(zip_derived_cl734_509,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13642_510,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl3357]) ).
thf(zip_derived_cl13670,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n1 ) @ ( sum @ n20 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl13642]) ).
thf(zip_derived_cl40_511,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl381,plain,
( ( sum @ n16 @ n1 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_512,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_513,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_514,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl398_515,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl317,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13713,plain,
( ( ( sum @ n17 @ ( sum @ n20 @ n18 ) )
!= n13 )
<= ( ( sk__1 = n0 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13670,zip_derived_cl40,zip_derived_cl381,zip_derived_cl19,zip_derived_cl40,zip_derived_cl19,zip_derived_cl398,zip_derived_cl317]) ).
thf(zip_derived_cl482,plain,
( ( sum @ n20 @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_516,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13983,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n0 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13713,zip_derived_cl482,zip_derived_cl418]) ).
thf('63',plain,
( ( sk__1 != n0 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13983]) ).
thf(zip_derived_cl732_517,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13642_518,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl3357]) ).
thf(zip_derived_cl13668,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n1 ) @ ( sum @ n20 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl13642]) ).
thf(zip_derived_cl38_519,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl339,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_520,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_521,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_522,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_523,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl233,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13711,plain,
( ( ( sum @ n15 @ ( sum @ n20 @ n16 ) )
!= n9 )
<= ( ( sk__1 = n0 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13668,zip_derived_cl38,zip_derived_cl339,zip_derived_cl17,zip_derived_cl38,zip_derived_cl17,zip_derived_cl354,zip_derived_cl233]) ).
thf(zip_derived_cl480,plain,
( ( sum @ n20 @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374_524,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13979,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n0 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13711,zip_derived_cl480,zip_derived_cl374]) ).
thf('64',plain,
( ( sk__1 != n0 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13979]) ).
thf(zip_derived_cl731_525,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13642_526,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl3357]) ).
thf(zip_derived_cl13667,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n1 ) @ ( sum @ n20 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl13642]) ).
thf(zip_derived_cl37_527,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl318,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_528,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_529,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_530,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_531,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13710,plain,
( ( ( sum @ n14 @ ( sum @ n20 @ n15 ) )
!= n7 )
<= ( ( sk__1 = n0 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13667,zip_derived_cl37,zip_derived_cl318,zip_derived_cl16,zip_derived_cl37,zip_derived_cl16,zip_derived_cl332,zip_derived_cl191]) ).
thf(zip_derived_cl479,plain,
( ( sum @ n20 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_532,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13977,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n0 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13710,zip_derived_cl479,zip_derived_cl352]) ).
thf('65',plain,
( ( sk__1 != n0 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13977]) ).
thf(zip_derived_cl730_533,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13642_534,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl3357]) ).
thf(zip_derived_cl13666,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n1 ) @ ( sum @ n20 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl13642]) ).
thf(zip_derived_cl36_535,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_536,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_537,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_538,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_539,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13709,plain,
( ( ( sum @ n13 @ ( sum @ n20 @ n14 ) )
!= n5 )
<= ( ( sk__1 = n0 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13666,zip_derived_cl36,zip_derived_cl297,zip_derived_cl15,zip_derived_cl36,zip_derived_cl15,zip_derived_cl310,zip_derived_cl149]) ).
thf(zip_derived_cl478,plain,
( ( sum @ n20 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330_540,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13975,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n0 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13709,zip_derived_cl478,zip_derived_cl330]) ).
thf('66',plain,
( ( sk__1 != n0 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13975]) ).
thf(zip_derived_cl729_541,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13642_542,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl3357]) ).
thf(zip_derived_cl13665,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n1 ) @ ( sum @ n20 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl13642]) ).
thf(zip_derived_cl35_543,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276_544,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_545,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_546,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_547,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_548,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13708,plain,
( ( ( sum @ n12 @ ( sum @ n20 @ n13 ) )
!= n3 )
<= ( ( sk__1 = n0 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13665,zip_derived_cl35,zip_derived_cl276,zip_derived_cl14,zip_derived_cl35,zip_derived_cl14,zip_derived_cl288,zip_derived_cl107]) ).
thf(zip_derived_cl477,plain,
( ( sum @ n20 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308_549,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13973,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n0 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13708,zip_derived_cl477,zip_derived_cl308]) ).
thf('67',plain,
( ( sk__1 != n0 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13973]) ).
thf(zip_derived_cl728_550,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13642_551,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl3357]) ).
thf(zip_derived_cl13664,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n1 ) @ ( sum @ n20 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl13642]) ).
thf(zip_derived_cl34_552,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl255,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_553,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_554,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_555,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_556,plain,
( ( sum @ n10 @ n12 )
= n1 ),
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_cl13707,plain,
( ( ( sum @ n11 @ ( sum @ n20 @ n12 ) )
!= n1 )
<= ( ( sk__1 = n0 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13664,zip_derived_cl34,zip_derived_cl255,zip_derived_cl13,zip_derived_cl34,zip_derived_cl13,zip_derived_cl266,zip_derived_cl65]) ).
thf(zip_derived_cl476,plain,
( ( sum @ n20 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_557,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13971,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n0 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13707,zip_derived_cl476,zip_derived_cl286]) ).
thf('68',plain,
( ( sk__1 != n0 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13971]) ).
thf(zip_derived_cl727_558,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13642_559,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl3357]) ).
thf(zip_derived_cl13663,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n1 ) @ ( sum @ n20 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl13642]) ).
thf(zip_derived_cl33_560,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234_561,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_562,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_563,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_564,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_565,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl464,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13706,plain,
( ( ( sum @ n10 @ ( sum @ n20 @ n11 ) )
!= n20 )
<= ( ( sk__1 = n0 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13663,zip_derived_cl33,zip_derived_cl234,zip_derived_cl12,zip_derived_cl33,zip_derived_cl12,zip_derived_cl244,zip_derived_cl464]) ).
thf(zip_derived_cl475,plain,
( ( sum @ n20 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_566,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13967,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n0 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13706,zip_derived_cl475,zip_derived_cl264]) ).
thf('69',plain,
( ( sk__1 != n0 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13967]) ).
thf(zip_derived_cl726_567,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13642_568,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl3357]) ).
thf(zip_derived_cl13662,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n1 ) @ ( sum @ n20 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl13642]) ).
thf(zip_derived_cl32_569,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl213,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_570,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_571,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_572,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_573,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl422_574,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13705,plain,
( ( ( sum @ n9 @ ( sum @ n20 @ n10 ) )
!= n18 )
<= ( ( sk__1 = n0 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13662,zip_derived_cl32,zip_derived_cl213,zip_derived_cl11,zip_derived_cl32,zip_derived_cl11,zip_derived_cl222,zip_derived_cl422]) ).
thf(zip_derived_cl474,plain,
( ( sum @ n20 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_575,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13965,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n0 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13705,zip_derived_cl474,zip_derived_cl242]) ).
thf('70',plain,
( ( sk__1 != n0 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13965]) ).
thf(zip_derived_cl725_576,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13642_577,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl3357]) ).
thf(zip_derived_cl13661,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n1 ) @ ( sum @ n20 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl13642]) ).
thf(zip_derived_cl31_578,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_579,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_580,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_581,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_582,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13704,plain,
( ( ( sum @ n8 @ ( sum @ n20 @ n9 ) )
!= n16 )
<= ( ( sk__1 = n0 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13661,zip_derived_cl31,zip_derived_cl192,zip_derived_cl10,zip_derived_cl31,zip_derived_cl10,zip_derived_cl200,zip_derived_cl380]) ).
thf(zip_derived_cl473,plain,
( ( sum @ n20 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_583,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13963,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n0 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13704,zip_derived_cl473,zip_derived_cl220]) ).
thf('71',plain,
( ( sk__1 != n0 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13963]) ).
thf(zip_derived_cl724_584,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13642_585,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl3357]) ).
thf(zip_derived_cl13660,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n1 ) @ ( sum @ n20 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl13642]) ).
thf(zip_derived_cl30_586,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl171,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_587,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_588,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_589,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_590,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl338,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13703,plain,
( ( ( sum @ n7 @ ( sum @ n20 @ n8 ) )
!= n14 )
<= ( ( sk__1 = n0 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13660,zip_derived_cl30,zip_derived_cl171,zip_derived_cl9,zip_derived_cl30,zip_derived_cl9,zip_derived_cl178,zip_derived_cl338]) ).
thf(zip_derived_cl472,plain,
( ( sum @ n20 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_591,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13961,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n0 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13703,zip_derived_cl472,zip_derived_cl198]) ).
thf('72',plain,
( ( sk__1 != n0 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13961]) ).
thf(zip_derived_cl723_592,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13642_593,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl3357]) ).
thf(zip_derived_cl13659,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n1 ) @ ( sum @ n20 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl13642]) ).
thf(zip_derived_cl29_594,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl150,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_595,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_596,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_597,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_598,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl296,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13702,plain,
( ( ( sum @ n6 @ ( sum @ n20 @ n7 ) )
!= n12 )
<= ( ( sk__1 = n0 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13659,zip_derived_cl29,zip_derived_cl150,zip_derived_cl8,zip_derived_cl29,zip_derived_cl8,zip_derived_cl156,zip_derived_cl296]) ).
thf(zip_derived_cl471,plain,
( ( sum @ n20 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_599,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13959,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n0 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13702,zip_derived_cl471,zip_derived_cl176]) ).
thf('73',plain,
( ( sk__1 != n0 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13959]) ).
thf(zip_derived_cl484_600,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_601,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13642_602,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl3357]) ).
thf(zip_derived_cl13673,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n1 ) @ ( sum @ n20 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl13642]) ).
thf(zip_derived_cl43_603,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl444,plain,
( ( sum @ n19 @ n1 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_604,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl464_605,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_606,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_607,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_608,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_609,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13716,plain,
( ( ( sum @ n20 @ n20 )
!= n19 )
<= ( ( sk__1 = n0 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13673,zip_derived_cl43,zip_derived_cl444,zip_derived_cl22,zip_derived_cl464,zip_derived_cl43,zip_derived_cl22,zip_derived_cl443,zip_derived_cl443]) ).
thf(zip_derived_cl13932,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n0 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl13716]) ).
thf('74',plain,
( ( sk__1 != n0 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13932]) ).
thf(zip_derived_cl722_610,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13642_611,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl3357]) ).
thf(zip_derived_cl13658,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n1 ) @ ( sum @ n20 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl13642]) ).
thf(zip_derived_cl28_612,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl129,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_613,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_614,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_615,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_616,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl254,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13701,plain,
( ( ( sum @ n5 @ ( sum @ n20 @ n6 ) )
!= n10 )
<= ( ( sk__1 = n0 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13658,zip_derived_cl28,zip_derived_cl129,zip_derived_cl7,zip_derived_cl28,zip_derived_cl7,zip_derived_cl134,zip_derived_cl254]) ).
thf(zip_derived_cl470,plain,
( ( sum @ n20 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_617,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13912,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n0 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13701,zip_derived_cl470,zip_derived_cl154]) ).
thf('75',plain,
( ( sk__1 != n0 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13912]) ).
thf(zip_derived_cl465_618,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl696_619,plain,
( ( sk__1 = n0 )
<= ( sk__1 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl27_620,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721_621,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl0_622,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1041,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl0]) ).
thf(zip_derived_cl6_623,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_624,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1047,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n5 ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ n5 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl1041,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl4439,plain,
( ( ( sum @ ( sum @ n3 @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n5 ) )
!= ( sum @ ( sum @ n3 @ n5 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl1047]) ).
thf(zip_derived_cl4446,plain,
( ( ( sum @ ( sum @ n3 @ ( succ @ n0 ) ) @ ( sum @ ( pred @ n0 ) @ n5 ) )
!= ( sum @ ( sum @ n3 @ n5 ) @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl4439]) ).
thf(zip_derived_cl2_625,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_626,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_627,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_628,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4489,plain,
( ( ( sum @ ( sum @ n3 @ n1 ) @ ( sum @ n20 @ n5 ) )
!= ( sum @ ( sum @ n3 @ n5 ) @ ( sum @ n20 @ n1 ) ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4446,zip_derived_cl2,zip_derived_cl23,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl108,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_629,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13237,plain,
( ( ( sum @ n4 @ ( sum @ n20 @ n5 ) )
!= ( sum @ n8 @ ( sum @ n20 @ n1 ) ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4489,zip_derived_cl108,zip_derived_cl112]) ).
thf(zip_derived_cl13647,plain,
( ( ( sum @ n4 @ ( sum @ n20 @ n5 ) )
!= ( sum @ n8 @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl13237]) ).
thf(zip_derived_cl212,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13652,plain,
( ( ( sum @ n4 @ ( sum @ n20 @ n5 ) )
!= n8 )
<= ( ( sk__1 = n0 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13647,zip_derived_cl212]) ).
thf(zip_derived_cl469,plain,
( ( sum @ n20 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_630,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13899,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n0 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13652,zip_derived_cl469,zip_derived_cl132]) ).
thf('76',plain,
( ( sk__1 != n0 )
| ( sk_ != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13899]) ).
thf(zip_derived_cl465_631,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl696_632,plain,
( ( sk__1 = n0 )
<= ( sk__1 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl26_633,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720_634,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl0_635,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1033,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl0]) ).
thf(zip_derived_cl5_636,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_637,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1038,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n4 ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ n4 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl5,zip_derived_cl5]) ).
thf(zip_derived_cl4165,plain,
( ( ( sum @ ( sum @ n2 @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n4 ) )
!= ( sum @ ( sum @ n2 @ n4 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl1038]) ).
thf(zip_derived_cl4174,plain,
( ( ( sum @ ( sum @ n2 @ ( succ @ n0 ) ) @ ( sum @ ( pred @ n0 ) @ n4 ) )
!= ( sum @ ( sum @ n2 @ n4 ) @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl4165]) ).
thf(zip_derived_cl2_638,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_639,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_640,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_641,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4219,plain,
( ( ( sum @ ( sum @ n2 @ n1 ) @ ( sum @ n20 @ n4 ) )
!= ( sum @ ( sum @ n2 @ n4 ) @ ( sum @ n20 @ n1 ) ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4174,zip_derived_cl2,zip_derived_cl23,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl87,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_642,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12986,plain,
( ( ( sum @ n3 @ ( sum @ n20 @ n4 ) )
!= ( sum @ n6 @ ( sum @ n20 @ n1 ) ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4219,zip_derived_cl87,zip_derived_cl90]) ).
thf(zip_derived_cl13646,plain,
( ( ( sum @ n3 @ ( sum @ n20 @ n4 ) )
!= ( sum @ n6 @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl12986]) ).
thf(zip_derived_cl170,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13651,plain,
( ( ( sum @ n3 @ ( sum @ n20 @ n4 ) )
!= n6 )
<= ( ( sk__1 = n0 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13646,zip_derived_cl170]) ).
thf(zip_derived_cl468,plain,
( ( sum @ n20 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_643,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13891,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n0 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13651,zip_derived_cl468,zip_derived_cl110]) ).
thf('77',plain,
( ( sk__1 != n0 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13891]) ).
thf(zip_derived_cl465_644,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl696_645,plain,
( ( sk__1 = n0 )
<= ( sk__1 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl25_646,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_647,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl0_648,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1026,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl0]) ).
thf(zip_derived_cl4_649,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_650,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1030,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n3 ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ n3 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1026,zip_derived_cl4,zip_derived_cl4]) ).
thf(zip_derived_cl3882,plain,
( ( ( sum @ ( sum @ n1 @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n3 ) )
!= ( sum @ ( sum @ n1 @ n3 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl1030]) ).
thf(zip_derived_cl3902,plain,
( ( ( sum @ ( sum @ n1 @ ( succ @ n0 ) ) @ ( sum @ ( pred @ n0 ) @ n3 ) )
!= ( sum @ ( sum @ n1 @ n3 ) @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl3882]) ).
thf(zip_derived_cl2_651,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_652,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_653,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_654,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3946,plain,
( ( ( sum @ ( sum @ n1 @ n1 ) @ ( sum @ n20 @ n3 ) )
!= ( sum @ ( sum @ n1 @ n3 ) @ ( sum @ n20 @ n1 ) ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3902,zip_derived_cl2,zip_derived_cl23,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl66_655,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_656,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12974,plain,
( ( ( sum @ n2 @ ( sum @ n20 @ n3 ) )
!= ( sum @ n4 @ ( sum @ n20 @ n1 ) ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3946,zip_derived_cl66,zip_derived_cl68]) ).
thf(zip_derived_cl13645,plain,
( ( ( sum @ n2 @ ( sum @ n20 @ n3 ) )
!= ( sum @ n4 @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl12974]) ).
thf(zip_derived_cl128,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13650,plain,
( ( ( sum @ n2 @ ( sum @ n20 @ n3 ) )
!= n4 )
<= ( ( sk__1 = n0 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13645,zip_derived_cl128]) ).
thf(zip_derived_cl467,plain,
( ( sum @ n20 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_657,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13889,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n0 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13650,zip_derived_cl467,zip_derived_cl88]) ).
thf('78',plain,
( ( sk__1 != n0 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13889]) ).
thf(zip_derived_cl465_658,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl696_659,plain,
( ( sk__1 = n0 )
<= ( sk__1 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl24_660,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1017_661,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n2 ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ n2 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1014,zip_derived_cl3,zip_derived_cl3]) ).
thf(zip_derived_cl3619,plain,
( ( ( sum @ ( sum @ n0 @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n2 ) )
!= ( sum @ ( sum @ n0 @ n2 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl1017]) ).
thf(zip_derived_cl3621,plain,
( ( ( sum @ ( sum @ n0 @ ( succ @ n0 ) ) @ ( sum @ ( pred @ n0 ) @ n2 ) )
!= ( sum @ ( sum @ n0 @ n2 ) @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl3619]) ).
thf(zip_derived_cl2_662,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_663,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_664,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_665,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3663,plain,
( ( ( sum @ ( sum @ n0 @ n1 ) @ ( sum @ n20 @ n2 ) )
!= ( sum @ ( sum @ n0 @ n2 ) @ ( sum @ n20 @ n1 ) ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3621,zip_derived_cl2,zip_derived_cl23,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl45_666,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_667,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12970,plain,
( ( ( sum @ n1 @ ( sum @ n20 @ n2 ) )
!= ( sum @ n2 @ ( sum @ n20 @ n1 ) ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3663,zip_derived_cl45,zip_derived_cl46]) ).
thf(zip_derived_cl13644,plain,
( ( ( sum @ n1 @ ( sum @ n20 @ n2 ) )
!= ( sum @ n2 @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl12970]) ).
thf(zip_derived_cl86,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13649,plain,
( ( ( sum @ n1 @ ( sum @ n20 @ n2 ) )
!= n2 )
<= ( ( sk__1 = n0 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13644,zip_derived_cl86]) ).
thf(zip_derived_cl466_668,plain,
( ( sum @ n20 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_669,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13887,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n0 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13649,zip_derived_cl466,zip_derived_cl66]) ).
thf('79',plain,
( ( sk__1 != n0 )
| ( sk_ != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13887]) ).
thf(zip_derived_cl696_670,plain,
( ( sk__1 = n0 )
<= ( sk__1 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl717_671,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl0_672,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1010,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl0]) ).
thf(zip_derived_cl2_673,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_674,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1012,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n1 ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ n1 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1010,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl1298,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ ( sum @ ( pred @ n0 ) @ n1 ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ n1 ) @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl1012]) ).
thf(zip_derived_cl2_675,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_676,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1340,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n1 ) @ ( sum @ ( pred @ n0 ) @ n1 ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ n1 ) @ ( sum @ ( pred @ n0 ) @ n1 ) ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1298,zip_derived_cl2,zip_derived_cl2]) ).
thf('80',plain,
( ( sk__1 != n0 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1340]) ).
thf(zip_derived_cl484_677,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729_678,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11156_679,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl5520]) ).
thf(zip_derived_cl11173,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl11156]) ).
thf(zip_derived_cl35_680,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_681,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_682,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_683,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11216,plain,
( ( ( sum @ ( sum @ n11 @ n9 ) @ ( sum @ n7 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11173,zip_derived_cl35,zip_derived_cl14,zip_derived_cl35,zip_derived_cl14]) ).
thf(zip_derived_cl284_684,plain,
( ( sum @ n11 @ n9 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl204,plain,
( ( sum @ n7 @ n13 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_685,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl123,plain,
( ( sum @ n3 @ n16 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12296,plain,
( ( ( sum @ n20 @ n20 )
!= n19 )
<= ( ( sk__1 = n8 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11216,zip_derived_cl284,zip_derived_cl204,zip_derived_cl288,zip_derived_cl123]) ).
thf(zip_derived_cl13920,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n8 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl12296]) ).
thf('81',plain,
( ( sk_ != n12 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13920]) ).
thf(zip_derived_cl729_686,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13325_687,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl8452]) ).
thf(zip_derived_cl13456,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n0 ) @ ( sum @ n19 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl13325]) ).
thf(zip_derived_cl35_688,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl275_689,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_690,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_691,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_692,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_693,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126,plain,
( ( sum @ n3 @ n19 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13498,plain,
( ( ( sum @ n11 @ ( sum @ n19 @ n13 ) )
!= n1 )
<= ( ( sk__1 = n20 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13456,zip_derived_cl35,zip_derived_cl275,zip_derived_cl14,zip_derived_cl35,zip_derived_cl14,zip_derived_cl288,zip_derived_cl126]) ).
thf(zip_derived_cl456,plain,
( ( sum @ n19 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_694,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13775,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n20 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13498,zip_derived_cl456,zip_derived_cl286]) ).
thf('82',plain,
( ( sk_ != n12 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13775]) ).
thf(zip_derived_cl462_695,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729_696,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10971_697,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl5250]) ).
thf(zip_derived_cl10990,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl10971]) ).
thf(zip_derived_cl35_698,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_699,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_700,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_701,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11033,plain,
( ( ( sum @ ( sum @ n11 @ n8 ) @ ( sum @ n6 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10990,zip_derived_cl35,zip_derived_cl14,zip_derived_cl35,zip_derived_cl14]) ).
thf(zip_derived_cl283_702,plain,
( ( sum @ n11 @ n8 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl183,plain,
( ( sum @ n6 @ n13 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_703,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121,plain,
( ( sum @ n3 @ n14 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12135,plain,
( ( ( sum @ n19 @ n19 )
!= n17 )
<= ( ( sk__1 = n7 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11033,zip_derived_cl283,zip_derived_cl183,zip_derived_cl288,zip_derived_cl121]) ).
thf(zip_derived_cl13605,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n7 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl12135]) ).
thf('83',plain,
( ( sk_ != n12 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13605]) ).
thf(zip_derived_cl729_704,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13271_705,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl8276]) ).
thf(zip_derived_cl13338,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl13271]) ).
thf(zip_derived_cl35_706,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl295_707,plain,
( ( sum @ n11 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_708,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl435_709,plain,
( ( sum @ n18 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_710,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_711,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_712,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_713,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124_714,plain,
( ( sum @ n3 @ n17 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13389,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n19 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13338,zip_derived_cl35,zip_derived_cl295,zip_derived_cl14,zip_derived_cl435,zip_derived_cl264,zip_derived_cl35,zip_derived_cl14,zip_derived_cl288,zip_derived_cl124]) ).
thf('84',plain,
( ( sk_ != n12 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13389]) ).
thf(zip_derived_cl440_715,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729_716,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10788_717,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl4981]) ).
thf(zip_derived_cl10805,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl10788]) ).
thf(zip_derived_cl35_718,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_719,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_720,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_721,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10848,plain,
( ( ( sum @ ( sum @ n11 @ n7 ) @ ( sum @ n5 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10805,zip_derived_cl35,zip_derived_cl14,zip_derived_cl35,zip_derived_cl14]) ).
thf(zip_derived_cl282_722,plain,
( ( sum @ n11 @ n7 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162,plain,
( ( sum @ n5 @ n13 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_723,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12112,plain,
( ( ( sum @ n18 @ n18 )
!= n15 )
<= ( ( sk__1 = n6 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10848,zip_derived_cl282,zip_derived_cl162,zip_derived_cl288,zip_derived_cl119]) ).
thf(zip_derived_cl13243,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n6 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl12112]) ).
thf('85',plain,
( ( sk_ != n12 )
| ( sk__1 != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13243]) ).
thf(zip_derived_cl729_724,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13022_725,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl8098]) ).
thf(zip_derived_cl13084,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl13022]) ).
thf(zip_derived_cl35_726,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl294_727,plain,
( ( sum @ n11 @ n19 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_728,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl414_729,plain,
( ( sum @ n17 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_730,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_731,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_732,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_733,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122,plain,
( ( sum @ n3 @ n15 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13133,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n18 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13084,zip_derived_cl35,zip_derived_cl294,zip_derived_cl14,zip_derived_cl414,zip_derived_cl242,zip_derived_cl35,zip_derived_cl14,zip_derived_cl288,zip_derived_cl122]) ).
thf('86',plain,
( ( sk_ != n12 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13133]) ).
thf(zip_derived_cl418_734,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729_735,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10396_736,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl4709]) ).
thf(zip_derived_cl10411,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl10396]) ).
thf(zip_derived_cl35_737,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_738,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_739,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_740,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10454,plain,
( ( ( sum @ ( sum @ n11 @ n6 ) @ ( sum @ n4 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10411,zip_derived_cl35,zip_derived_cl14,zip_derived_cl35,zip_derived_cl14]) ).
thf(zip_derived_cl281_741,plain,
( ( sum @ n11 @ n6 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141,plain,
( ( sum @ n4 @ n13 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_742,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11966,plain,
( ( ( sum @ n17 @ n17 )
!= n13 )
<= ( ( sk__1 = n5 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10454,zip_derived_cl281,zip_derived_cl141,zip_derived_cl288,zip_derived_cl117]) ).
thf(zip_derived_cl12995,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n5 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl11966]) ).
thf('87',plain,
( ( sk_ != n12 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12995]) ).
thf(zip_derived_cl729_743,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12798_744,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7922]) ).
thf(zip_derived_cl12856,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl12798]) ).
thf(zip_derived_cl35_745,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl293_746,plain,
( ( sum @ n11 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_747,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl393,plain,
( ( sum @ n16 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_748,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_749,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_750,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_751,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120,plain,
( ( sum @ n3 @ n13 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12904,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n17 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12856,zip_derived_cl35,zip_derived_cl293,zip_derived_cl14,zip_derived_cl393,zip_derived_cl220,zip_derived_cl35,zip_derived_cl14,zip_derived_cl288,zip_derived_cl120]) ).
thf('88',plain,
( ( sk_ != n12 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12904]) ).
thf(zip_derived_cl396_752,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729_753,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9908_754,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4440]) ).
thf(zip_derived_cl9921,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl9908]) ).
thf(zip_derived_cl35_755,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_756,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_757,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_758,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9964,plain,
( ( ( sum @ ( sum @ n11 @ n5 ) @ ( sum @ n3 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9921,zip_derived_cl35,zip_derived_cl14,zip_derived_cl35,zip_derived_cl14]) ).
thf(zip_derived_cl280_759,plain,
( ( sum @ n11 @ n5 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120_760,plain,
( ( sum @ n3 @ n13 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_761,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11928,plain,
( ( ( sum @ n16 @ n16 )
!= n11 )
<= ( ( sk__1 = n4 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9964,zip_derived_cl280,zip_derived_cl120,zip_derived_cl288,zip_derived_cl115]) ).
thf(zip_derived_cl12776,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n4 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl11928]) ).
thf('89',plain,
( ( sk_ != n12 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12776]) ).
thf(zip_derived_cl729_762,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12573_763,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl7656]) ).
thf(zip_derived_cl12618,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl12573]) ).
thf(zip_derived_cl35_764,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl292_765,plain,
( ( sum @ n11 @ n17 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_766,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl372_767,plain,
( ( sum @ n15 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_768,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_769,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_770,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_771,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12664,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n16 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12618,zip_derived_cl35,zip_derived_cl292,zip_derived_cl14,zip_derived_cl372,zip_derived_cl198,zip_derived_cl35,zip_derived_cl14,zip_derived_cl288,zip_derived_cl118]) ).
thf('90',plain,
( ( sk_ != n12 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12664]) ).
thf(zip_derived_cl374_772,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_773,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729_774,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9494_775,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl4167]) ).
thf(zip_derived_cl9507,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl9494]) ).
thf(zip_derived_cl35_776,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_777,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_778,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_779,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9550,plain,
( ( ( sum @ ( sum @ n11 @ n4 ) @ ( sum @ n2 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9507,zip_derived_cl35,zip_derived_cl14,zip_derived_cl35,zip_derived_cl14]) ).
thf(zip_derived_cl279_780,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11781,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ ( sum @ n11 @ n13 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9550,zip_derived_cl279,zip_derived_cl99]) ).
thf(zip_derived_cl11814,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ n3 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl11781]) ).
thf(zip_derived_cl113,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11820,plain,
( ( ( sum @ n15 @ n15 )
!= n9 )
<= ( ( sk__1 = n3 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11814,zip_derived_cl113]) ).
thf(zip_derived_cl12552,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n3 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl11820]) ).
thf('91',plain,
( ( sk__1 != n3 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12552]) ).
thf(zip_derived_cl729_781,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11489_782,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl6054]) ).
thf(zip_derived_cl11502,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl11489]) ).
thf(zip_derived_cl35_783,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_784,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_785,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_786,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11545,plain,
( ( ( sum @ ( sum @ n11 @ n11 ) @ ( sum @ n9 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11502,zip_derived_cl35,zip_derived_cl14,zip_derived_cl35,zip_derived_cl14]) ).
thf(zip_derived_cl286_787,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl246,plain,
( ( sum @ n9 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_788,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_789,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127_790,plain,
( ( sum @ n3 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12500,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n10 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11545,zip_derived_cl286,zip_derived_cl246,zip_derived_cl66,zip_derived_cl288,zip_derived_cl127]) ).
thf('92',plain,
( ( sk_ != n12 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12500]) ).
thf(zip_derived_cl729_791,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12359_792,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl7390]) ).
thf(zip_derived_cl12400,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl12359]) ).
thf(zip_derived_cl35_793,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl291_794,plain,
( ( sum @ n11 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_795,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351,plain,
( ( sum @ n14 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_796,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_797,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_798,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_799,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12445,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n15 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12400,zip_derived_cl35,zip_derived_cl291,zip_derived_cl14,zip_derived_cl351,zip_derived_cl176,zip_derived_cl35,zip_derived_cl14,zip_derived_cl288,zip_derived_cl116]) ).
thf('93',plain,
( ( sk_ != n12 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12445]) ).
thf(zip_derived_cl352_800,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_801,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729_802,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8898_803,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl3884]) ).
thf(zip_derived_cl8911,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl8898]) ).
thf(zip_derived_cl35_804,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_805,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_806,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_807,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8954,plain,
( ( ( sum @ ( sum @ n11 @ n3 ) @ ( sum @ n1 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8911,zip_derived_cl35,zip_derived_cl14,zip_derived_cl35,zip_derived_cl14]) ).
thf(zip_derived_cl78,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11743,plain,
( ( ( sum @ ( sum @ n11 @ n3 ) @ n14 )
!= ( sum @ ( sum @ n11 @ n13 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8954,zip_derived_cl78]) ).
thf(zip_derived_cl11812,plain,
( ( ( sum @ ( sum @ n11 @ n3 ) @ n14 )
!= ( sum @ n3 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl11743]) ).
thf(zip_derived_cl278_808,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11818,plain,
( ( ( sum @ n14 @ n14 )
!= n7 )
<= ( ( sk__1 = n2 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11812,zip_derived_cl278,zip_derived_cl111]) ).
thf(zip_derived_cl12344,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n2 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl11818]) ).
thf('94',plain,
( ( sk_ != n12 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12344]) ).
thf(zip_derived_cl729_809,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11335_810,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl5787]) ).
thf(zip_derived_cl11352,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl11335]) ).
thf(zip_derived_cl35_811,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_812,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_813,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_814,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11395,plain,
( ( ( sum @ ( sum @ n11 @ n10 ) @ ( sum @ n8 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11352,zip_derived_cl35,zip_derived_cl14,zip_derived_cl35,zip_derived_cl14]) ).
thf(zip_derived_cl285_815,plain,
( ( sum @ n11 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl225,plain,
( ( sum @ n8 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_816,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_817,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl125,plain,
( ( sum @ n3 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12329,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n9 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11395,zip_derived_cl285,zip_derived_cl225,zip_derived_cl44,zip_derived_cl288,zip_derived_cl125]) ).
thf('95',plain,
( ( sk_ != n12 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12329]) ).
thf(zip_derived_cl729_818,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12162_819,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl7123]) ).
thf(zip_derived_cl12195,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl12162]) ).
thf(zip_derived_cl35_820,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_821,plain,
( ( sum @ n11 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_822,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330_823,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_824,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_825,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_826,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_827,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12238,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n14 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12195,zip_derived_cl35,zip_derived_cl290,zip_derived_cl14,zip_derived_cl330,zip_derived_cl154,zip_derived_cl35,zip_derived_cl14,zip_derived_cl288,zip_derived_cl114]) ).
thf('96',plain,
( ( sk_ != n12 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12238]) ).
thf(zip_derived_cl729_828,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11986_829,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6856]) ).
thf(zip_derived_cl12014,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl11986]) ).
thf(zip_derived_cl35_830,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl289_831,plain,
( ( sum @ n11 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_832,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl309,plain,
( ( sum @ n12 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_833,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_834,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_835,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_836,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_837,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12057,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n13 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12014,zip_derived_cl35,zip_derived_cl289,zip_derived_cl14,zip_derived_cl309,zip_derived_cl132,zip_derived_cl35,zip_derived_cl14,zip_derived_cl288,zip_derived_cl112]) ).
thf('97',plain,
( ( sk_ != n12 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12057]) ).
thf(zip_derived_cl288_838,plain,
( ( sum @ n11 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729_839,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11633_840,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6321]) ).
thf(zip_derived_cl11654,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl11633]) ).
thf(zip_derived_cl35_841,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_842,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl267,plain,
( ( sum @ n10 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_843,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_844,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11697,plain,
( ( ( sum @ ( sum @ n11 @ n12 ) @ n2 )
!= ( sum @ ( sum @ n11 @ n13 ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11654,zip_derived_cl35,zip_derived_cl14,zip_derived_cl267,zip_derived_cl35,zip_derived_cl14]) ).
thf(zip_derived_cl11811,plain,
( ( ( sum @ ( sum @ n11 @ n12 ) @ n2 )
!= ( sum @ n3 @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl11697]) ).
thf(zip_derived_cl287_845,plain,
( ( sum @ n11 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_846,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_847,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11816,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n11 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11811,zip_derived_cl287,zip_derived_cl88,zip_derived_cl108]) ).
thf('98',plain,
( ( sk__1 != n11 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11816]) ).
thf(zip_derived_cl729_848,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl2677_849,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ ( pred @ n12 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n12 ) @ n13 ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl835,zip_derived_cl14,zip_derived_cl14]) ).
thf(zip_derived_cl2690,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n13 ) @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ ( sum @ ( pred @ n12 ) @ n13 ) ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl2677]) ).
thf(zip_derived_cl14_850,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_851,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2732,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n13 ) @ ( sum @ ( pred @ n12 ) @ n13 ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ n13 ) @ ( sum @ ( pred @ n12 ) @ n13 ) ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2690,zip_derived_cl14,zip_derived_cl14]) ).
thf('99',plain,
( ( sk_ != n12 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2732]) ).
thf(zip_derived_cl484_852,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720_853,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12798_854,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7922]) ).
thf(zip_derived_cl12847,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl12798]) ).
thf(zip_derived_cl26_855,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_856,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_857,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_858,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_859,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl183_860,plain,
( ( sum @ n6 @ n13 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12889,plain,
( ( ( sum @ n20 @ n20 )
!= n19 )
<= ( ( sk__1 = n17 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12847,zip_derived_cl26,zip_derived_cl104,zip_derived_cl5,zip_derived_cl384,zip_derived_cl26,zip_derived_cl5,zip_derived_cl90,zip_derived_cl183]) ).
thf(zip_derived_cl13927,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n17 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl12889]) ).
thf('100',plain,
( ( sk__1 != n17 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13927]) ).
thf(zip_derived_cl482_861,plain,
( ( sum @ n20 @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_862,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12798_863,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7922]) ).
thf(zip_derived_cl12844,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl12798]) ).
thf(zip_derived_cl23_864,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_865,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl381_866,plain,
( ( sum @ n16 @ n1 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_867,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_868,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12886,plain,
( ( ( sum @ ( sum @ n20 @ n18 ) @ n17 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12844,zip_derived_cl23,zip_derived_cl2,zip_derived_cl381,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl13894,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12886]) ).
thf(zip_derived_cl418_869,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_870,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_871,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13897,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n17 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13894,zip_derived_cl418,zip_derived_cl465,zip_derived_cl57]) ).
thf('101',plain,
( ( sk__1 != n17 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13897]) ).
thf(zip_derived_cl477_872,plain,
( ( sum @ n20 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_873,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12798_874,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7922]) ).
thf(zip_derived_cl12854,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl12798]) ).
thf(zip_derived_cl33_875,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl251,plain,
( ( sum @ n9 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_876,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl391,plain,
( ( sum @ n16 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_877,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_878,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_879,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_880,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12901,plain,
( ( n12
!= ( sum @ n20 @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12854,zip_derived_cl33,zip_derived_cl251,zip_derived_cl12,zip_derived_cl391,zip_derived_cl176,zip_derived_cl33,zip_derived_cl12,zip_derived_cl244]) ).
thf(zip_derived_cl13841,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n17 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl12901]) ).
thf('102',plain,
( ( sk__1 != n17 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13841]) ).
thf(zip_derived_cl462_881,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_882,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12798_883,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7922]) ).
thf(zip_derived_cl12846,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl12798]) ).
thf(zip_derived_cl25_884,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83,plain,
( ( sum @ n1 @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_885,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl383,plain,
( ( sum @ n16 @ n3 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_886,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_887,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_888,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141_889,plain,
( ( sum @ n4 @ n13 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12888,plain,
( ( ( sum @ n19 @ n19 )
!= n17 )
<= ( ( sk__1 = n17 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12846,zip_derived_cl25,zip_derived_cl83,zip_derived_cl4,zip_derived_cl383,zip_derived_cl25,zip_derived_cl4,zip_derived_cl68,zip_derived_cl141]) ).
thf(zip_derived_cl13614,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n17 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl12888]) ).
thf('103',plain,
( ( sk__1 != n17 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13614]) ).
thf(zip_derived_cl461,plain,
( ( sum @ n19 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_890,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12798_891,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7922]) ).
thf(zip_derived_cl12864,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl12798]) ).
thf(zip_derived_cl43_892,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_893,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_894,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_895,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_896,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12918,plain,
( ( ( sum @ ( sum @ n19 @ n18 ) @ n16 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12864,zip_derived_cl43,zip_derived_cl22,zip_derived_cl380,zip_derived_cl43,zip_derived_cl22]) ).
thf(zip_derived_cl13589,plain,
( ( ( sum @ n16 @ n16 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl12918]) ).
thf(zip_derived_cl396_897,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_898,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl456_899,plain,
( ( sum @ n19 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13591,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n17 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13589,zip_derived_cl396,zip_derived_cl443,zip_derived_cl456]) ).
thf('104',plain,
( ( sk__1 != n17 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13591]) ).
thf(zip_derived_cl440_900,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718_901,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12798_902,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7922]) ).
thf(zip_derived_cl12845,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl12798]) ).
thf(zip_derived_cl24_903,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_904,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_905,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl382_906,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_907,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_908,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_909,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99_910,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12887,plain,
( ( ( sum @ n18 @ n18 )
!= n15 )
<= ( ( sk__1 = n17 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12845,zip_derived_cl24,zip_derived_cl62,zip_derived_cl3,zip_derived_cl382,zip_derived_cl24,zip_derived_cl3,zip_derived_cl46,zip_derived_cl99]) ).
thf(zip_derived_cl13252,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n17 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl12887]) ).
thf('105',plain,
( ( sk__1 != n17 )
| ( sk_ != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13252]) ).
thf(zip_derived_cl435_911,plain,
( ( sum @ n18 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_912,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12798_913,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7922]) ).
thf(zip_derived_cl12853,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl12798]) ).
thf(zip_derived_cl32_914,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230,plain,
( ( sum @ n8 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_915,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl390,plain,
( ( sum @ n16 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_916,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_917,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_918,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_919,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12900,plain,
( ( n10
!= ( sum @ n18 @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12853,zip_derived_cl32,zip_derived_cl230,zip_derived_cl11,zip_derived_cl390,zip_derived_cl154,zip_derived_cl32,zip_derived_cl11,zip_derived_cl222]) ).
thf(zip_derived_cl13212,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n17 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl12900]) ).
thf('106',plain,
( ( sk__1 != n17 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13212]) ).
thf(zip_derived_cl420_920,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_921,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12798_922,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7922]) ).
thf(zip_derived_cl12862,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl12798]) ).
thf(zip_derived_cl41_923,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_924,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl399,plain,
( ( sum @ n16 @ n19 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_925,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_926,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12916,plain,
( ( ( sum @ ( sum @ n17 @ n18 ) @ n14 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12862,zip_derived_cl41,zip_derived_cl20,zip_derived_cl399,zip_derived_cl41,zip_derived_cl20]) ).
thf(zip_derived_cl13037,plain,
( ( ( sum @ ( sum @ n17 @ n18 ) @ n14 )
!= ( sum @ n15 @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl12916]) ).
thf(zip_derived_cl419_927,plain,
( ( sum @ n17 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_928,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl372_929,plain,
( ( sum @ n15 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13066,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n17 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13037,zip_derived_cl419,zip_derived_cl352,zip_derived_cl372]) ).
thf('107',plain,
( ( sk__1 != n17 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13066]) ).
thf(zip_derived_cl732_930,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12798_931,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7922]) ).
thf(zip_derived_cl12859,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl12798]) ).
thf(zip_derived_cl38_932,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl356,plain,
( ( sum @ n14 @ n18 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_933,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl396_934,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_935,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_936,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_937,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_938,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl246_939,plain,
( ( sum @ n9 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12910,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n17 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12859,zip_derived_cl38,zip_derived_cl356,zip_derived_cl17,zip_derived_cl396,zip_derived_cl286,zip_derived_cl38,zip_derived_cl17,zip_derived_cl354,zip_derived_cl246]) ).
thf('108',plain,
( ( sk__1 != n17 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12910]) ).
thf(zip_derived_cl731_940,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12798_941,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7922]) ).
thf(zip_derived_cl12858,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl12798]) ).
thf(zip_derived_cl37_942,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl335,plain,
( ( sum @ n13 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_943,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl395,plain,
( ( sum @ n16 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_944,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_945,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_946,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_947,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl204_948,plain,
( ( sum @ n7 @ n13 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12908,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n17 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12858,zip_derived_cl37,zip_derived_cl335,zip_derived_cl16,zip_derived_cl395,zip_derived_cl264,zip_derived_cl37,zip_derived_cl16,zip_derived_cl332,zip_derived_cl204]) ).
thf('109',plain,
( ( sk__1 != n17 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12908]) ).
thf(zip_derived_cl730_949,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12798_950,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7922]) ).
thf(zip_derived_cl12857,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl12798]) ).
thf(zip_derived_cl36_951,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl314,plain,
( ( sum @ n12 @ n18 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_952,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl394,plain,
( ( sum @ n16 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_953,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_954,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_955,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_956,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_957,plain,
( ( sum @ n5 @ n13 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12906,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n17 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12857,zip_derived_cl36,zip_derived_cl314,zip_derived_cl15,zip_derived_cl394,zip_derived_cl242,zip_derived_cl36,zip_derived_cl15,zip_derived_cl310,zip_derived_cl162]) ).
thf('110',plain,
( ( sk__1 != n17 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12906]) ).
thf(zip_derived_cl728_958,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12798_959,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7922]) ).
thf(zip_derived_cl12855,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl12798]) ).
thf(zip_derived_cl34_960,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272,plain,
( ( sum @ n10 @ n18 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_961,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl392,plain,
( ( sum @ n16 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_962,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_963,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_964,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_965,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_966,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12902,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n17 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12855,zip_derived_cl34,zip_derived_cl272,zip_derived_cl13,zip_derived_cl392,zip_derived_cl198,zip_derived_cl34,zip_derived_cl13,zip_derived_cl266,zip_derived_cl78]) ).
thf('111',plain,
( ( sk__1 != n17 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12902]) ).
thf(zip_derived_cl725_967,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12798_968,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7922]) ).
thf(zip_derived_cl12852,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl12798]) ).
thf(zip_derived_cl31_969,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl209,plain,
( ( sum @ n7 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_970,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl389,plain,
( ( sum @ n16 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_971,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_972,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_973,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_974,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl393_975,plain,
( ( sum @ n16 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12898,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n17 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12852,zip_derived_cl31,zip_derived_cl209,zip_derived_cl10,zip_derived_cl389,zip_derived_cl132,zip_derived_cl31,zip_derived_cl10,zip_derived_cl200,zip_derived_cl393]) ).
thf('112',plain,
( ( sk__1 != n17 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12898]) ).
thf(zip_derived_cl724_976,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12798_977,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7922]) ).
thf(zip_derived_cl12851,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl12798]) ).
thf(zip_derived_cl30_978,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl188,plain,
( ( sum @ n6 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_979,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl388,plain,
( ( sum @ n16 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_980,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_981,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_982,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_983,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_984,plain,
( ( sum @ n14 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12896,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n17 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12851,zip_derived_cl30,zip_derived_cl188,zip_derived_cl9,zip_derived_cl388,zip_derived_cl110,zip_derived_cl30,zip_derived_cl9,zip_derived_cl178,zip_derived_cl351]) ).
thf('113',plain,
( ( sk__1 != n17 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12896]) ).
thf(zip_derived_cl723_985,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12798_986,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7922]) ).
thf(zip_derived_cl12850,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl12798]) ).
thf(zip_derived_cl29_987,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl167,plain,
( ( sum @ n5 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_988,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl387,plain,
( ( sum @ n16 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_989,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_990,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_991,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_992,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl309_993,plain,
( ( sum @ n12 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12894,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n17 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12850,zip_derived_cl29,zip_derived_cl167,zip_derived_cl8,zip_derived_cl387,zip_derived_cl88,zip_derived_cl29,zip_derived_cl8,zip_derived_cl156,zip_derived_cl309]) ).
thf('114',plain,
( ( sk__1 != n17 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12894]) ).
thf(zip_derived_cl722_994,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12798_995,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7922]) ).
thf(zip_derived_cl12849,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl12798]) ).
thf(zip_derived_cl28_996,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl146,plain,
( ( sum @ n4 @ n18 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_997,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386,plain,
( ( sum @ n16 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_998,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_999,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1000,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_1001,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl267_1002,plain,
( ( sum @ n10 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12892,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n17 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12849,zip_derived_cl28,zip_derived_cl146,zip_derived_cl7,zip_derived_cl386,zip_derived_cl66,zip_derived_cl28,zip_derived_cl7,zip_derived_cl134,zip_derived_cl267]) ).
thf('115',plain,
( ( sk__1 != n17 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12892]) ).
thf(zip_derived_cl721_1003,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12798_1004,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7922]) ).
thf(zip_derived_cl12848,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n13 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl12798]) ).
thf(zip_derived_cl27_1005,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl125_1006,plain,
( ( sum @ n3 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_1007,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl385,plain,
( ( sum @ n16 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1008,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_1009,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_1010,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_1011,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl225_1012,plain,
( ( sum @ n8 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12890,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n17 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12848,zip_derived_cl27,zip_derived_cl125,zip_derived_cl6,zip_derived_cl385,zip_derived_cl44,zip_derived_cl27,zip_derived_cl6,zip_derived_cl112,zip_derived_cl225]) ).
thf('116',plain,
( ( sk__1 != n17 )
| ( sk_ != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12890]) ).
thf(zip_derived_cl734_1013,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl3095_1014,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ ( pred @ n17 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n17 ) @ n18 ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl919,zip_derived_cl19,zip_derived_cl19]) ).
thf(zip_derived_cl3113,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n18 ) @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ ( sum @ ( pred @ n17 ) @ n18 ) ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl3095]) ).
thf(zip_derived_cl19_1015,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_1016,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3155,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n18 ) @ ( sum @ ( pred @ n17 ) @ n18 ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ n18 ) @ ( sum @ ( pred @ n17 ) @ n18 ) ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3113,zip_derived_cl19,zip_derived_cl19]) ).
thf('117',plain,
( ( sk__1 != n17 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3155]) ).
thf(zip_derived_cl484_1017,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl420_1018,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_1019,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8898_1020,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl3884]) ).
thf(zip_derived_cl8917,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl8898]) ).
thf(zip_derived_cl41_1021,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1022,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1023,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1024,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8960,plain,
( ( ( sum @ ( sum @ n17 @ n3 ) @ ( sum @ n1 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8917,zip_derived_cl41,zip_derived_cl20,zip_derived_cl41,zip_derived_cl20]) ).
thf(zip_derived_cl84,plain,
( ( sum @ n1 @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11749,plain,
( ( ( sum @ ( sum @ n17 @ n3 ) @ n20 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8960,zip_derived_cl84]) ).
thf(zip_derived_cl13024,plain,
( ( ( sum @ ( sum @ n17 @ n3 ) @ n20 )
!= ( sum @ n15 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl11749]) ).
thf(zip_derived_cl404_1025,plain,
( ( sum @ n17 @ n3 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl363_1026,plain,
( ( sum @ n15 @ n4 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13041,plain,
( ( ( sum @ n20 @ n20 )
!= n19 )
<= ( ( sk__1 = n2 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13024,zip_derived_cl404,zip_derived_cl363]) ).
thf(zip_derived_cl13928,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n2 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl13041]) ).
thf('118',plain,
( ( sk_ != n18 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13928]) ).
thf(zip_derived_cl735_1027,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13325_1028,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl8452]) ).
thf(zip_derived_cl13462,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n0 ) @ ( sum @ n19 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl13325]) ).
thf(zip_derived_cl41_1029,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl401_1030,plain,
( ( sum @ n17 @ n0 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1031,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1032,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1033,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl420_1034,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_1035,plain,
( ( sum @ n15 @ n19 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13504,plain,
( ( ( sum @ n17 @ ( sum @ n19 @ n19 ) )
!= n13 )
<= ( ( sk__1 = n20 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13462,zip_derived_cl41,zip_derived_cl401,zip_derived_cl20,zip_derived_cl41,zip_derived_cl20,zip_derived_cl420,zip_derived_cl378]) ).
thf(zip_derived_cl462_1036,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_1037,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13803,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n20 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13504,zip_derived_cl462,zip_derived_cl418]) ).
thf('119',plain,
( ( sk_ != n18 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13803]) ).
thf(zip_derived_cl735_1038,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13271_1039,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl8276]) ).
thf(zip_derived_cl13344,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl13271]) ).
thf(zip_derived_cl41_1040,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl421_1041,plain,
( ( sum @ n17 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1042,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl441_1043,plain,
( ( sum @ n18 @ n19 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl396_1044,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1045,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1046,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl420_1047,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_1048,plain,
( ( sum @ n15 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13401,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n19 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13344,zip_derived_cl41,zip_derived_cl421,zip_derived_cl20,zip_derived_cl441,zip_derived_cl396,zip_derived_cl41,zip_derived_cl20,zip_derived_cl420,zip_derived_cl376]) ).
thf('120',plain,
( ( sk_ != n18 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13401]) ).
thf(zip_derived_cl420_1049,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_1050,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12573_1051,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl7656]) ).
thf(zip_derived_cl12624,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl12573]) ).
thf(zip_derived_cl41_1052,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1053,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1054,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1055,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12675,plain,
( ( ( sum @ ( sum @ n17 @ n17 ) @ ( sum @ n15 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12624,zip_derived_cl41,zip_derived_cl20,zip_derived_cl41,zip_derived_cl20]) ).
thf(zip_derived_cl378_1056,plain,
( ( sum @ n15 @ n19 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12964,plain,
( ( ( sum @ ( sum @ n17 @ n17 ) @ n13 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12675,zip_derived_cl378]) ).
thf(zip_derived_cl13039,plain,
( ( ( sum @ ( sum @ n17 @ n17 ) @ n13 )
!= ( sum @ n15 @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl12964]) ).
thf(zip_derived_cl418_1057,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330_1058,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl370_1059,plain,
( ( sum @ n15 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13070,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n16 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13039,zip_derived_cl418,zip_derived_cl330,zip_derived_cl370]) ).
thf('121',plain,
( ( sk_ != n18 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13070]) ).
thf(zip_derived_cl420_1060,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_1061,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12359_1062,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl7390]) ).
thf(zip_derived_cl12406,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl12359]) ).
thf(zip_derived_cl41_1063,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1064,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1065,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1066,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12455,plain,
( ( ( sum @ ( sum @ n17 @ n16 ) @ ( sum @ n14 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12406,zip_derived_cl41,zip_derived_cl20,zip_derived_cl41,zip_derived_cl20]) ).
thf(zip_derived_cl357,plain,
( ( sum @ n14 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12958,plain,
( ( ( sum @ ( sum @ n17 @ n16 ) @ n12 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12455,zip_derived_cl357]) ).
thf(zip_derived_cl13038,plain,
( ( ( sum @ ( sum @ n17 @ n16 ) @ n12 )
!= ( sum @ n15 @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl12958]) ).
thf(zip_derived_cl417_1067,plain,
( ( sum @ n17 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308_1068,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl368_1069,plain,
( ( sum @ n15 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13068,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n15 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13038,zip_derived_cl417,zip_derived_cl308,zip_derived_cl368]) ).
thf('122',plain,
( ( sk_ != n18 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13068]) ).
thf(zip_derived_cl420_1070,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_1071,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12162_1072,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl7123]) ).
thf(zip_derived_cl12201,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl12162]) ).
thf(zip_derived_cl41_1073,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1074,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1075,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1076,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12247,plain,
( ( ( sum @ ( sum @ n17 @ n15 ) @ ( sum @ n13 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12201,zip_derived_cl41,zip_derived_cl20,zip_derived_cl41,zip_derived_cl20]) ).
thf(zip_derived_cl336,plain,
( ( sum @ n13 @ n19 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12768,plain,
( ( ( sum @ ( sum @ n17 @ n15 ) @ n11 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12247,zip_derived_cl336]) ).
thf(zip_derived_cl13036,plain,
( ( ( sum @ ( sum @ n17 @ n15 ) @ n11 )
!= ( sum @ n15 @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl12768]) ).
thf(zip_derived_cl416_1077,plain,
( ( sum @ n17 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_1078,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl366_1079,plain,
( ( sum @ n15 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13064,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n14 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13036,zip_derived_cl416,zip_derived_cl286,zip_derived_cl366]) ).
thf('123',plain,
( ( sk_ != n18 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13064]) ).
thf(zip_derived_cl420_1080,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_1081,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11986_1082,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6856]) ).
thf(zip_derived_cl12020,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl11986]) ).
thf(zip_derived_cl41_1083,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1084,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1085,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1086,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12065,plain,
( ( ( sum @ ( sum @ n17 @ n14 ) @ ( sum @ n12 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12020,zip_derived_cl41,zip_derived_cl20,zip_derived_cl41,zip_derived_cl20]) ).
thf(zip_derived_cl315,plain,
( ( sum @ n12 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12753,plain,
( ( ( sum @ ( sum @ n17 @ n14 ) @ n10 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12065,zip_derived_cl315]) ).
thf(zip_derived_cl13035,plain,
( ( ( sum @ ( sum @ n17 @ n14 ) @ n10 )
!= ( sum @ n15 @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl12753]) ).
thf(zip_derived_cl415_1087,plain,
( ( sum @ n17 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_1088,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl364_1089,plain,
( ( sum @ n15 @ n5 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13062,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n13 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13035,zip_derived_cl415,zip_derived_cl264,zip_derived_cl364]) ).
thf('124',plain,
( ( sk_ != n18 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13062]) ).
thf(zip_derived_cl420_1090,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_1091,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11809_1092,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl6589]) ).
thf(zip_derived_cl11839,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl11809]) ).
thf(zip_derived_cl41_1093,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1094,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1095,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1096,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11883,plain,
( ( ( sum @ ( sum @ n17 @ n13 ) @ ( sum @ n11 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11839,zip_derived_cl41,zip_derived_cl20,zip_derived_cl41,zip_derived_cl20]) ).
thf(zip_derived_cl294_1097,plain,
( ( sum @ n11 @ n19 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12732,plain,
( ( ( sum @ ( sum @ n17 @ n13 ) @ n9 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11883,zip_derived_cl294]) ).
thf(zip_derived_cl13034,plain,
( ( ( sum @ ( sum @ n17 @ n13 ) @ n9 )
!= ( sum @ n15 @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl12732]) ).
thf(zip_derived_cl414_1098,plain,
( ( sum @ n17 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_1099,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl362_1100,plain,
( ( sum @ n15 @ n3 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13060,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n12 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13034,zip_derived_cl414,zip_derived_cl242,zip_derived_cl362]) ).
thf('125',plain,
( ( sk_ != n18 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13060]) ).
thf(zip_derived_cl420_1101,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_1102,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11633_1103,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6321]) ).
thf(zip_derived_cl11660,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl11633]) ).
thf(zip_derived_cl41_1104,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1105,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1106,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1107,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11703,plain,
( ( ( sum @ ( sum @ n17 @ n12 ) @ ( sum @ n10 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11660,zip_derived_cl41,zip_derived_cl20,zip_derived_cl41,zip_derived_cl20]) ).
thf(zip_derived_cl273,plain,
( ( sum @ n10 @ n19 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12532,plain,
( ( ( sum @ ( sum @ n17 @ n12 ) @ n8 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11703,zip_derived_cl273]) ).
thf(zip_derived_cl13033,plain,
( ( ( sum @ ( sum @ n17 @ n12 ) @ n8 )
!= ( sum @ n15 @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl12532]) ).
thf(zip_derived_cl413_1108,plain,
( ( sum @ n17 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_1109,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl360_1110,plain,
( ( sum @ n15 @ n1 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13058,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n11 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13033,zip_derived_cl413,zip_derived_cl220,zip_derived_cl360]) ).
thf('126',plain,
( ( sk__1 != n11 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13058]) ).
thf(zip_derived_cl420_1111,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_1112,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11489_1113,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl6054]) ).
thf(zip_derived_cl11508,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl11489]) ).
thf(zip_derived_cl41_1114,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1115,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1116,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1117,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11551,plain,
( ( ( sum @ ( sum @ n17 @ n11 ) @ ( sum @ n9 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11508,zip_derived_cl41,zip_derived_cl20,zip_derived_cl41,zip_derived_cl20]) ).
thf(zip_derived_cl252,plain,
( ( sum @ n9 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12510,plain,
( ( ( sum @ ( sum @ n17 @ n11 ) @ n7 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11551,zip_derived_cl252]) ).
thf(zip_derived_cl13032,plain,
( ( ( sum @ ( sum @ n17 @ n11 ) @ n7 )
!= ( sum @ n15 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl12510]) ).
thf(zip_derived_cl412_1118,plain,
( ( sum @ n17 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_1119,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl379_1120,plain,
( ( sum @ n15 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13056,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n10 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13032,zip_derived_cl412,zip_derived_cl198,zip_derived_cl379]) ).
thf('127',plain,
( ( sk_ != n18 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13056]) ).
thf(zip_derived_cl420_1121,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_1122,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11335_1123,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl5787]) ).
thf(zip_derived_cl11358,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl11335]) ).
thf(zip_derived_cl41_1124,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1125,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1126,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1127,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11401,plain,
( ( ( sum @ ( sum @ n17 @ n10 ) @ ( sum @ n8 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11358,zip_derived_cl41,zip_derived_cl20,zip_derived_cl41,zip_derived_cl20]) ).
thf(zip_derived_cl231,plain,
( ( sum @ n8 @ n19 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12338,plain,
( ( ( sum @ ( sum @ n17 @ n10 ) @ n6 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11401,zip_derived_cl231]) ).
thf(zip_derived_cl13031,plain,
( ( ( sum @ ( sum @ n17 @ n10 ) @ n6 )
!= ( sum @ n15 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl12338]) ).
thf(zip_derived_cl411_1128,plain,
( ( sum @ n17 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_1129,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl377_1130,plain,
( ( sum @ n15 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13054,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n9 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13031,zip_derived_cl411,zip_derived_cl176,zip_derived_cl377]) ).
thf('128',plain,
( ( sk_ != n18 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13054]) ).
thf(zip_derived_cl420_1131,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_1132,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11156_1133,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl5520]) ).
thf(zip_derived_cl11179,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl11156]) ).
thf(zip_derived_cl41_1134,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1135,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1136,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1137,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11222,plain,
( ( ( sum @ ( sum @ n17 @ n9 ) @ ( sum @ n7 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11179,zip_derived_cl41,zip_derived_cl20,zip_derived_cl41,zip_derived_cl20]) ).
thf(zip_derived_cl210,plain,
( ( sum @ n7 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12306,plain,
( ( ( sum @ ( sum @ n17 @ n9 ) @ n5 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11222,zip_derived_cl210]) ).
thf(zip_derived_cl13030,plain,
( ( ( sum @ ( sum @ n17 @ n9 ) @ n5 )
!= ( sum @ n15 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl12306]) ).
thf(zip_derived_cl410_1138,plain,
( ( sum @ n17 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_1139,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl375_1140,plain,
( ( sum @ n15 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13052,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n8 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13030,zip_derived_cl410,zip_derived_cl154,zip_derived_cl375]) ).
thf('129',plain,
( ( sk_ != n18 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13052]) ).
thf(zip_derived_cl420_1141,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_1142,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10971_1143,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl5250]) ).
thf(zip_derived_cl10996,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl10971]) ).
thf(zip_derived_cl41_1144,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1145,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1146,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1147,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11039,plain,
( ( ( sum @ ( sum @ n17 @ n8 ) @ ( sum @ n6 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10996,zip_derived_cl41,zip_derived_cl20,zip_derived_cl41,zip_derived_cl20]) ).
thf(zip_derived_cl189,plain,
( ( sum @ n6 @ n19 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12141,plain,
( ( ( sum @ ( sum @ n17 @ n8 ) @ n4 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11039,zip_derived_cl189]) ).
thf(zip_derived_cl13029,plain,
( ( ( sum @ ( sum @ n17 @ n8 ) @ n4 )
!= ( sum @ n15 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl12141]) ).
thf(zip_derived_cl409_1148,plain,
( ( sum @ n17 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_1149,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl373_1150,plain,
( ( sum @ n15 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13050,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n7 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13029,zip_derived_cl409,zip_derived_cl132,zip_derived_cl373]) ).
thf('130',plain,
( ( sk_ != n18 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13050]) ).
thf(zip_derived_cl420_1151,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_1152,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10788_1153,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl4981]) ).
thf(zip_derived_cl10811,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl10788]) ).
thf(zip_derived_cl41_1154,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1155,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1156,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1157,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10854,plain,
( ( ( sum @ ( sum @ n17 @ n7 ) @ ( sum @ n5 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10811,zip_derived_cl41,zip_derived_cl20,zip_derived_cl41,zip_derived_cl20]) ).
thf(zip_derived_cl168,plain,
( ( sum @ n5 @ n19 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12118,plain,
( ( ( sum @ ( sum @ n17 @ n7 ) @ n3 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10854,zip_derived_cl168]) ).
thf(zip_derived_cl13028,plain,
( ( ( sum @ ( sum @ n17 @ n7 ) @ n3 )
!= ( sum @ n15 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl12118]) ).
thf(zip_derived_cl408_1158,plain,
( ( sum @ n17 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_1159,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl371_1160,plain,
( ( sum @ n15 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13048,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n6 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13028,zip_derived_cl408,zip_derived_cl110,zip_derived_cl371]) ).
thf('131',plain,
( ( sk_ != n18 )
| ( sk__1 != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13048]) ).
thf(zip_derived_cl420_1161,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_1162,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10396_1163,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl4709]) ).
thf(zip_derived_cl10417,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl10396]) ).
thf(zip_derived_cl41_1164,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1165,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1166,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1167,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10460,plain,
( ( ( sum @ ( sum @ n17 @ n6 ) @ ( sum @ n4 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10417,zip_derived_cl41,zip_derived_cl20,zip_derived_cl41,zip_derived_cl20]) ).
thf(zip_derived_cl147,plain,
( ( sum @ n4 @ n19 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11985,plain,
( ( ( sum @ ( sum @ n17 @ n6 ) @ n2 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10460,zip_derived_cl147]) ).
thf(zip_derived_cl13027,plain,
( ( ( sum @ ( sum @ n17 @ n6 ) @ n2 )
!= ( sum @ n15 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl11985]) ).
thf(zip_derived_cl407_1168,plain,
( ( sum @ n17 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_1169,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl369_1170,plain,
( ( sum @ n15 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13046,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n5 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13027,zip_derived_cl407,zip_derived_cl88,zip_derived_cl369]) ).
thf('132',plain,
( ( sk_ != n18 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13046]) ).
thf(zip_derived_cl420_1171,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_1172,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9908_1173,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4440]) ).
thf(zip_derived_cl9927,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl9908]) ).
thf(zip_derived_cl41_1174,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1175,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1176,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1177,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9970,plain,
( ( ( sum @ ( sum @ n17 @ n5 ) @ ( sum @ n3 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9927,zip_derived_cl41,zip_derived_cl20,zip_derived_cl41,zip_derived_cl20]) ).
thf(zip_derived_cl126_1178,plain,
( ( sum @ n3 @ n19 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11936,plain,
( ( ( sum @ ( sum @ n17 @ n5 ) @ n1 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9970,zip_derived_cl126]) ).
thf(zip_derived_cl13026,plain,
( ( ( sum @ ( sum @ n17 @ n5 ) @ n1 )
!= ( sum @ n15 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl11936]) ).
thf(zip_derived_cl406_1179,plain,
( ( sum @ n17 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1180,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl367_1181,plain,
( ( sum @ n15 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13044,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n4 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13026,zip_derived_cl406,zip_derived_cl66,zip_derived_cl367]) ).
thf('133',plain,
( ( sk_ != n18 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13044]) ).
thf(zip_derived_cl420_1182,plain,
( ( sum @ n17 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_1183,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9494_1184,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl4167]) ).
thf(zip_derived_cl9513,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl9494]) ).
thf(zip_derived_cl41_1185,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1186,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1187,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1188,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9556,plain,
( ( ( sum @ ( sum @ n17 @ n4 ) @ ( sum @ n2 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9513,zip_derived_cl41,zip_derived_cl20,zip_derived_cl41,zip_derived_cl20]) ).
thf(zip_derived_cl105,plain,
( ( sum @ n2 @ n19 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11787,plain,
( ( ( sum @ ( sum @ n17 @ n4 ) @ n0 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9556,zip_derived_cl105]) ).
thf(zip_derived_cl13025,plain,
( ( ( sum @ ( sum @ n17 @ n4 ) @ n0 )
!= ( sum @ n15 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl11787]) ).
thf(zip_derived_cl405_1189,plain,
( ( sum @ n17 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1190,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl365_1191,plain,
( ( sum @ n15 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13042,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n3 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13025,zip_derived_cl405,zip_derived_cl44,zip_derived_cl365]) ).
thf('134',plain,
( ( sk__1 != n3 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13042]) ).
thf(zip_derived_cl735_1192,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl3181_1193,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ ( pred @ n18 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n18 ) @ n19 ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl938,zip_derived_cl20,zip_derived_cl20]) ).
thf(zip_derived_cl3200,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n19 ) @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ ( sum @ ( pred @ n18 ) @ n19 ) ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl3181]) ).
thf(zip_derived_cl20_1194,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1195,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3242,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n19 ) @ ( sum @ ( pred @ n18 ) @ n19 ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ n19 ) @ ( sum @ ( pred @ n18 ) @ n19 ) ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3200,zip_derived_cl20,zip_derived_cl20]) ).
thf('135',plain,
( ( sk_ != n18 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3242]) ).
thf(zip_derived_cl468_1196,plain,
( ( sum @ n20 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_1197,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8898_1198,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl3884]) ).
thf(zip_derived_cl8909,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl8898]) ).
thf(zip_derived_cl33_1199,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_1200,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1201,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_1202,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8952,plain,
( ( ( sum @ ( sum @ n9 @ n3 ) @ ( sum @ n1 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8909,zip_derived_cl33,zip_derived_cl12,zip_derived_cl33,zip_derived_cl12]) ).
thf(zip_derived_cl236,plain,
( ( sum @ n9 @ n3 )
= n12 ),
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_cl244_1203,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11741,plain,
( ( ( sum @ n12 @ n12 )
!= ( sum @ n20 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8952,zip_derived_cl236,zip_derived_cl76,zip_derived_cl244]) ).
thf(zip_derived_cl13751,plain,
( ( ( sum @ n12 @ n12 )
!= n3 )
<= ( ( sk__1 = n2 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl11741]) ).
thf(zip_derived_cl308_1204,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13754,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n2 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13751,zip_derived_cl308]) ).
thf('136',plain,
( ( sk__1 != n2 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13754]) ).
thf(zip_derived_cl467_1205,plain,
( ( sum @ n20 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_1206,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8898_1207,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl3884]) ).
thf(zip_derived_cl8899,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl8898]) ).
thf(zip_derived_cl23_1208,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_1209,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1210,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_1211,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_1212,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8941,plain,
( ( ( sum @ ( sum @ n20 @ n3 ) @ n2 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8899,zip_derived_cl23,zip_derived_cl2,zip_derived_cl66,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl13745,plain,
( ( ( sum @ n2 @ n2 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl8941]) ).
thf(zip_derived_cl88_1213,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_1214,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1215,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13747,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n2 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13745,zip_derived_cl88,zip_derived_cl465,zip_derived_cl48]) ).
thf('137',plain,
( ( sk__1 != n2 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13747]) ).
thf(zip_derived_cl462_1216,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl398_1217,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_1218,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8898_1219,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl3884]) ).
thf(zip_derived_cl8916,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl8898]) ).
thf(zip_derived_cl40_1220,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_1221,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1222,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_1223,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8959,plain,
( ( ( sum @ ( sum @ n16 @ n3 ) @ ( sum @ n1 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8916,zip_derived_cl40,zip_derived_cl19,zip_derived_cl40,zip_derived_cl19]) ).
thf(zip_derived_cl83_1224,plain,
( ( sum @ n1 @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11748,plain,
( ( ( sum @ ( sum @ n16 @ n3 ) @ n19 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8959,zip_derived_cl83]) ).
thf(zip_derived_cl12800,plain,
( ( ( sum @ ( sum @ n16 @ n3 ) @ n19 )
!= ( sum @ n13 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl11748]) ).
thf(zip_derived_cl383_1225,plain,
( ( sum @ n16 @ n3 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl321,plain,
( ( sum @ n13 @ n4 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12816,plain,
( ( ( sum @ n19 @ n19 )
!= n17 )
<= ( ( sk__1 = n2 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12800,zip_derived_cl383,zip_derived_cl321]) ).
thf(zip_derived_cl13613,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n2 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl12816]) ).
thf('138',plain,
( ( sk__1 != n2 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13613]) ).
thf(zip_derived_cl446,plain,
( ( sum @ n19 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_1226,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8898_1227,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl3884]) ).
thf(zip_derived_cl8919,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl8898]) ).
thf(zip_derived_cl43_1228,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_1229,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_1230,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1231,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_1232,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8962,plain,
( ( ( sum @ ( sum @ n19 @ n3 ) @ n1 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8919,zip_derived_cl43,zip_derived_cl22,zip_derived_cl65,zip_derived_cl43,zip_derived_cl22]) ).
thf(zip_derived_cl13533,plain,
( ( ( sum @ n1 @ n1 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl446,zip_derived_cl8962]) ).
thf(zip_derived_cl66_1233,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_1234,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13534,plain,
( ( n2
!= ( sum @ n19 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13533,zip_derived_cl66,zip_derived_cl443]) ).
thf(zip_derived_cl447,plain,
( ( sum @ n19 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13560,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n2 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13534,zip_derived_cl447]) ).
thf('139',plain,
( ( sk__1 != n2 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13560]) ).
thf(zip_derived_cl426_1235,plain,
( ( sum @ n18 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_1236,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8898_1237,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl3884]) ).
thf(zip_derived_cl8908,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl8898]) ).
thf(zip_derived_cl32_1238,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1239,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1240,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1241,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8951,plain,
( ( ( sum @ ( sum @ n8 @ n3 ) @ ( sum @ n1 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8908,zip_derived_cl32,zip_derived_cl11,zip_derived_cl32,zip_derived_cl11]) ).
thf(zip_derived_cl215,plain,
( ( sum @ n8 @ n3 )
= n11 ),
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_cl222_1242,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11740,plain,
( ( ( sum @ n11 @ n11 )
!= ( sum @ n18 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8951,zip_derived_cl215,zip_derived_cl75,zip_derived_cl222]) ).
thf(zip_derived_cl13189,plain,
( ( ( sum @ n11 @ n11 )
!= n1 )
<= ( ( sk__1 = n2 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl11740]) ).
thf(zip_derived_cl286_1243,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13190,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n2 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13189,zip_derived_cl286]) ).
thf('140',plain,
( ( sk__1 != n2 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13190]) ).
thf(zip_derived_cl418_1244,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_1245,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_1246,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8898_1247,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl3884]) ).
thf(zip_derived_cl8914,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl8898]) ).
thf(zip_derived_cl38_1248,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_1249,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_1250,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_1251,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8957,plain,
( ( ( sum @ ( sum @ n14 @ n3 ) @ ( sum @ n1 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8914,zip_derived_cl38,zip_derived_cl17,zip_derived_cl38,zip_derived_cl17]) ).
thf(zip_derived_cl81,plain,
( ( sum @ n1 @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11746,plain,
( ( ( sum @ ( sum @ n14 @ n3 ) @ n17 )
!= ( sum @ ( sum @ n14 @ n16 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8957,zip_derived_cl81]) ).
thf(zip_derived_cl12361,plain,
( ( ( sum @ ( sum @ n14 @ n3 ) @ n17 )
!= ( sum @ n9 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl11746]) ).
thf(zip_derived_cl341,plain,
( ( sum @ n14 @ n3 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl237,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12372,plain,
( ( ( sum @ n17 @ n17 )
!= n13 )
<= ( ( sk__1 = n2 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12361,zip_derived_cl341,zip_derived_cl237]) ).
thf(zip_derived_cl13001,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n2 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl12372]) ).
thf('141',plain,
( ( sk__1 != n2 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13001]) ).
thf(zip_derived_cl396_1252,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_1253,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731_1254,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8898_1255,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl3884]) ).
thf(zip_derived_cl8913,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl8898]) ).
thf(zip_derived_cl37_1256,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_1257,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1258,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_1259,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8956,plain,
( ( ( sum @ ( sum @ n13 @ n3 ) @ ( sum @ n1 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8913,zip_derived_cl37,zip_derived_cl16,zip_derived_cl37,zip_derived_cl16]) ).
thf(zip_derived_cl80,plain,
( ( sum @ n1 @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11745,plain,
( ( ( sum @ ( sum @ n13 @ n3 ) @ n16 )
!= ( sum @ ( sum @ n13 @ n15 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8956,zip_derived_cl80]) ).
thf(zip_derived_cl12164,plain,
( ( ( sum @ ( sum @ n13 @ n3 ) @ n16 )
!= ( sum @ n7 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl11745]) ).
thf(zip_derived_cl320,plain,
( ( sum @ n13 @ n3 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl195,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12173,plain,
( ( ( sum @ n16 @ n16 )
!= n11 )
<= ( ( sk__1 = n2 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12164,zip_derived_cl320,zip_derived_cl195]) ).
thf(zip_derived_cl12780,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n2 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl12173]) ).
thf('142',plain,
( ( sk__1 != n2 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12780]) ).
thf(zip_derived_cl384_1260,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725_1261,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8898_1262,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl3884]) ).
thf(zip_derived_cl8907,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl8898]) ).
thf(zip_derived_cl31_1263,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_1264,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1265,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_1266,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8950,plain,
( ( ( sum @ ( sum @ n7 @ n3 ) @ ( sum @ n1 @ n9 ) )
!= ( sum @ ( sum @ n7 @ n9 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8907,zip_derived_cl31,zip_derived_cl10,zip_derived_cl31,zip_derived_cl10]) ).
thf(zip_derived_cl194,plain,
( ( sum @ n7 @ n3 )
= n10 ),
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_cl264_1267,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_1268,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11739,plain,
( ( n20
!= ( sum @ n16 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8950,zip_derived_cl194,zip_derived_cl74,zip_derived_cl264,zip_derived_cl200]) ).
thf(zip_derived_cl12710,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n2 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl384,zip_derived_cl11739]) ).
thf('143',plain,
( ( sk__1 != n2 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12710]) ).
thf(zip_derived_cl374_1269,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_1270,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730_1271,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8898_1272,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl3884]) ).
thf(zip_derived_cl8912,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl8898]) ).
thf(zip_derived_cl36_1273,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_1274,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1275,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_1276,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8955,plain,
( ( ( sum @ ( sum @ n12 @ n3 ) @ ( sum @ n1 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8912,zip_derived_cl36,zip_derived_cl15,zip_derived_cl36,zip_derived_cl15]) ).
thf(zip_derived_cl79,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11744,plain,
( ( ( sum @ ( sum @ n12 @ n3 ) @ n15 )
!= ( sum @ ( sum @ n12 @ n14 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8955,zip_derived_cl79]) ).
thf(zip_derived_cl11988,plain,
( ( ( sum @ ( sum @ n12 @ n3 ) @ n15 )
!= ( sum @ n5 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl11744]) ).
thf(zip_derived_cl299,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl153,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11995,plain,
( ( ( sum @ n15 @ n15 )
!= n9 )
<= ( ( sk__1 = n2 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11988,zip_derived_cl299,zip_derived_cl153]) ).
thf(zip_derived_cl12555,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n2 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl11995]) ).
thf('144',plain,
( ( sk__1 != n2 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12555]) ).
thf(zip_derived_cl342,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724_1277,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8898_1278,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl3884]) ).
thf(zip_derived_cl8906,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl8898]) ).
thf(zip_derived_cl30_1279,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_1280,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_1281,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_1282,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8949,plain,
( ( ( sum @ ( sum @ n6 @ n3 ) @ ( sum @ n1 @ n8 ) )
!= ( sum @ ( sum @ n6 @ n8 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8906,zip_derived_cl30,zip_derived_cl9,zip_derived_cl30,zip_derived_cl9]) ).
thf(zip_derived_cl173,plain,
( ( sum @ n6 @ n3 )
= n9 ),
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_cl242_1283,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_1284,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11738,plain,
( ( n18
!= ( sum @ n14 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8949,zip_derived_cl173,zip_derived_cl73,zip_derived_cl242,zip_derived_cl178]) ).
thf(zip_derived_cl12277,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n2 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl342,zip_derived_cl11738]) ).
thf('145',plain,
( ( sk__1 != n2 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12277]) ).
thf(zip_derived_cl330_1285,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728_1286,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8898_1287,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl3884]) ).
thf(zip_derived_cl8910,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl8898]) ).
thf(zip_derived_cl34_1288,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_1289,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_1290,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_1291,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8953,plain,
( ( ( sum @ ( sum @ n10 @ n3 ) @ ( sum @ n1 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8910,zip_derived_cl34,zip_derived_cl13,zip_derived_cl34,zip_derived_cl13]) ).
thf(zip_derived_cl257,plain,
( ( sum @ n10 @ n3 )
= n13 ),
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_cl266_1292,plain,
( ( sum @ n10 @ n12 )
= n1 ),
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_cl11742,plain,
( ( ( sum @ n13 @ n13 )
!= n5 )
<= ( ( sk__1 = n2 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8953,zip_derived_cl257,zip_derived_cl77,zip_derived_cl266,zip_derived_cl69]) ).
thf(zip_derived_cl12148,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n2 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl11742]) ).
thf('146',plain,
( ( sk__1 != n2 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12148]) ).
thf(zip_derived_cl300,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723_1293,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8898_1294,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl3884]) ).
thf(zip_derived_cl8905,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl8898]) ).
thf(zip_derived_cl29_1295,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_1296,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1297,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_1298,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8948,plain,
( ( ( sum @ ( sum @ n5 @ n3 ) @ ( sum @ n1 @ n7 ) )
!= ( sum @ ( sum @ n5 @ n7 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8905,zip_derived_cl29,zip_derived_cl8,zip_derived_cl29,zip_derived_cl8]) ).
thf(zip_derived_cl152,plain,
( ( sum @ n5 @ n3 )
= n8 ),
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_cl220_1299,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_1300,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11737,plain,
( ( n16
!= ( sum @ n12 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8948,zip_derived_cl152,zip_derived_cl72,zip_derived_cl220,zip_derived_cl156]) ).
thf(zip_derived_cl11929,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n2 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl300,zip_derived_cl11737]) ).
thf('147',plain,
( ( sk__1 != n2 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11929]) ).
thf(zip_derived_cl722_1301,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8898_1302,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl3884]) ).
thf(zip_derived_cl8904,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl8898]) ).
thf(zip_derived_cl28_1303,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1304,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_1305,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1306,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8947,plain,
( ( ( sum @ ( sum @ n4 @ n3 ) @ ( sum @ n1 @ n6 ) )
!= ( sum @ ( sum @ n4 @ n6 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8904,zip_derived_cl28,zip_derived_cl7,zip_derived_cl28,zip_derived_cl7]) ).
thf(zip_derived_cl131,plain,
( ( sum @ n4 @ n3 )
= n7 ),
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_cl198_1307,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_1308,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11735,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n2 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8947,zip_derived_cl131,zip_derived_cl71,zip_derived_cl198,zip_derived_cl134,zip_derived_cl258]) ).
thf('148',plain,
( ( sk__1 != n2 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11735]) ).
thf(zip_derived_cl721_1309,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8898_1310,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl3884]) ).
thf(zip_derived_cl8903,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl8898]) ).
thf(zip_derived_cl27_1311,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_1312,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_1313,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_1314,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8946,plain,
( ( ( sum @ ( sum @ n3 @ n3 ) @ ( sum @ n1 @ n5 ) )
!= ( sum @ ( sum @ n3 @ n5 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8903,zip_derived_cl27,zip_derived_cl6,zip_derived_cl27,zip_derived_cl6]) ).
thf(zip_derived_cl110_1315,plain,
( ( sum @ n3 @ n3 )
= n6 ),
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_cl176_1316,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_1317,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11733,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n2 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8946,zip_derived_cl110,zip_derived_cl70,zip_derived_cl176,zip_derived_cl112,zip_derived_cl216]) ).
thf('149',plain,
( ( sk__1 != n2 )
| ( sk_ != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11733]) ).
thf(zip_derived_cl720_1318,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8898_1319,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl3884]) ).
thf(zip_derived_cl8902,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl8898]) ).
thf(zip_derived_cl26_1320,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_1321,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_1322,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_1323,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8945,plain,
( ( ( sum @ ( sum @ n2 @ n3 ) @ ( sum @ n1 @ n4 ) )
!= ( sum @ ( sum @ n2 @ n4 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8902,zip_derived_cl26,zip_derived_cl5,zip_derived_cl26,zip_derived_cl5]) ).
thf(zip_derived_cl89,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1324,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_1325,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_1326,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11731,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n2 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8945,zip_derived_cl89,zip_derived_cl69,zip_derived_cl154,zip_derived_cl90,zip_derived_cl174]) ).
thf('150',plain,
( ( sk__1 != n2 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11731]) ).
thf(zip_derived_cl718_1327,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl8898_1328,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n3 ) @ ( sum @ n1 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl3884]) ).
thf(zip_derived_cl8900,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl8898]) ).
thf(zip_derived_cl24_1329,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1330,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1331,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_1332,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1333,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1334,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1335,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8942,plain,
( ( ( sum @ n3 @ n3 )
!= ( sum @ n2 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8900,zip_derived_cl24,zip_derived_cl47,zip_derived_cl3,zip_derived_cl67,zip_derived_cl24,zip_derived_cl3,zip_derived_cl46]) ).
thf(zip_derived_cl110_1336,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_1337,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10924,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n2 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8942,zip_derived_cl110,zip_derived_cl90]) ).
thf('151',plain,
( ( sk__1 != n2 )
| ( sk_ != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10924]) ).
thf(zip_derived_cl698_1338,plain,
( ( sk__1 = n2 )
<= ( sk__1 = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1030_1339,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n3 ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ n3 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1026,zip_derived_cl4,zip_derived_cl4]) ).
thf(zip_derived_cl1433,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ ( sum @ ( pred @ n2 ) @ n3 ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ n3 ) @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl698,zip_derived_cl1030]) ).
thf(zip_derived_cl4_1340,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_1341,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1479,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n3 ) @ ( sum @ ( pred @ n2 ) @ n3 ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ n3 ) @ ( sum @ ( pred @ n2 ) @ n3 ) ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1433,zip_derived_cl4,zip_derived_cl4]) ).
thf('152',plain,
( ( sk__1 != n2 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1479]) ).
thf(zip_derived_cl484_1342,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_1343,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11633_1344,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6321]) ).
thf(zip_derived_cl11651,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl11633]) ).
thf(zip_derived_cl32_1345,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1346,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_1347,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1348,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1349,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1350,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11693,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ n18 @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11651,zip_derived_cl32,zip_derived_cl224,zip_derived_cl11,zip_derived_cl264,zip_derived_cl32,zip_derived_cl11,zip_derived_cl222]) ).
thf(zip_derived_cl13914,plain,
( ( n19
!= ( sum @ n18 @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl11693]) ).
thf(zip_derived_cl423_1351,plain,
( ( sum @ n18 @ n1 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13933,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n11 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13914,zip_derived_cl423]) ).
thf('153',plain,
( ( sk__1 != n11 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13933]) ).
thf(zip_derived_cl726_1352,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13325_1353,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl8452]) ).
thf(zip_derived_cl13453,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n0 ) @ ( sum @ n19 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl13325]) ).
thf(zip_derived_cl32_1354,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212_1355,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1356,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1357,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1358,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1359,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl441_1360,plain,
( ( sum @ n18 @ n19 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13495,plain,
( ( ( sum @ n8 @ ( sum @ n19 @ n10 ) )
!= n16 )
<= ( ( sk__1 = n20 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13453,zip_derived_cl32,zip_derived_cl212,zip_derived_cl11,zip_derived_cl32,zip_derived_cl11,zip_derived_cl222,zip_derived_cl441]) ).
thf(zip_derived_cl453,plain,
( ( sum @ n19 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_1361,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13765,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n20 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13495,zip_derived_cl453,zip_derived_cl220]) ).
thf('154',plain,
( ( sk_ != n9 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13765]) ).
thf(zip_derived_cl462_1362,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_1363,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11489_1364,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl6054]) ).
thf(zip_derived_cl11499,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl11489]) ).
thf(zip_derived_cl32_1365,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl223,plain,
( ( sum @ n8 @ n11 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1366,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243,plain,
( ( sum @ n9 @ n10 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1367,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1368,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1369,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11541,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ n18 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11499,zip_derived_cl32,zip_derived_cl223,zip_derived_cl11,zip_derived_cl243,zip_derived_cl32,zip_derived_cl11,zip_derived_cl222]) ).
thf(zip_derived_cl13600,plain,
( ( n17
!= ( sum @ n18 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl11541]) ).
thf(zip_derived_cl442_1370,plain,
( ( sum @ n18 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13618,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n10 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13600,zip_derived_cl442]) ).
thf('155',plain,
( ( sk_ != n9 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13618]) ).
thf(zip_derived_cl726_1371,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13271_1372,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl8276]) ).
thf(zip_derived_cl13335,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl13271]) ).
thf(zip_derived_cl32_1373,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232_1374,plain,
( ( sum @ n8 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1375,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_1376,plain,
( ( sum @ n18 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_1377,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1378,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1379,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1380,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl439_1381,plain,
( ( sum @ n18 @ n17 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13384,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n19 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13335,zip_derived_cl32,zip_derived_cl232,zip_derived_cl11,zip_derived_cl432,zip_derived_cl198,zip_derived_cl32,zip_derived_cl11,zip_derived_cl222,zip_derived_cl439]) ).
thf('156',plain,
( ( sk_ != n9 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13384]) ).
thf(zip_derived_cl438_1382,plain,
( ( sum @ n18 @ n16 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_1383,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11156_1384,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl5520]) ).
thf(zip_derived_cl11170,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl11156]) ).
thf(zip_derived_cl32_1385,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1386,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl201,plain,
( ( sum @ n7 @ n10 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1387,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1388,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11213,plain,
( ( ( sum @ ( sum @ n8 @ n9 ) @ n17 )
!= ( sum @ ( sum @ n8 @ n10 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11170,zip_derived_cl32,zip_derived_cl11,zip_derived_cl201,zip_derived_cl32,zip_derived_cl11]) ).
thf(zip_derived_cl221,plain,
( ( sum @ n8 @ n9 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1389,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11580,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ n18 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11213,zip_derived_cl221,zip_derived_cl222]) ).
thf(zip_derived_cl13222,plain,
( ( ( sum @ n17 @ n17 )
!= n13 )
<= ( ( sk__1 = n8 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl11580]) ).
thf(zip_derived_cl418_1390,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13223,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n8 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13222,zip_derived_cl418]) ).
thf('157',plain,
( ( sk_ != n9 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13223]) ).
thf(zip_derived_cl437_1391,plain,
( ( sum @ n18 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_1392,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13022_1393,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl8098]) ).
thf(zip_derived_cl13081,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl13022]) ).
thf(zip_derived_cl32_1394,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl231_1395,plain,
( ( sum @ n8 @ n19 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1396,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl411_1397,plain,
( ( sum @ n17 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_1398,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1399,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1400,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1401,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13129,plain,
( ( n12
!= ( sum @ n18 @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13081,zip_derived_cl32,zip_derived_cl231,zip_derived_cl11,zip_derived_cl411,zip_derived_cl176,zip_derived_cl32,zip_derived_cl11,zip_derived_cl222]) ).
thf(zip_derived_cl13217,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n18 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl13129]) ).
thf('158',plain,
( ( sk_ != n9 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13217]) ).
thf(zip_derived_cl436_1402,plain,
( ( sum @ n18 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_1403,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10971_1404,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl5250]) ).
thf(zip_derived_cl10987,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl10971]) ).
thf(zip_derived_cl32_1405,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1406,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1407,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1408,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11030,plain,
( ( ( sum @ ( sum @ n8 @ n8 ) @ ( sum @ n6 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10987,zip_derived_cl32,zip_derived_cl11,zip_derived_cl32,zip_derived_cl11]) ).
thf(zip_derived_cl220_1409,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1410,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12132,plain,
( ( ( sum @ n16 @ n16 )
!= ( sum @ n18 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11030,zip_derived_cl220,zip_derived_cl180,zip_derived_cl222]) ).
thf(zip_derived_cl13214,plain,
( ( ( sum @ n16 @ n16 )
!= n11 )
<= ( ( sk__1 = n7 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl12132]) ).
thf(zip_derived_cl396_1411,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13215,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n7 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13214,zip_derived_cl396]) ).
thf('159',plain,
( ( sk_ != n9 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13215]) ).
thf(zip_derived_cl434_1412,plain,
( ( sum @ n18 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_1413,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10788_1414,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl4981]) ).
thf(zip_derived_cl10802,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl10788]) ).
thf(zip_derived_cl32_1415,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1416,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1417,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1418,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10845,plain,
( ( ( sum @ ( sum @ n8 @ n7 ) @ ( sum @ n5 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10802,zip_derived_cl32,zip_derived_cl11,zip_derived_cl32,zip_derived_cl11]) ).
thf(zip_derived_cl219,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl159,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1419,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12109,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ n18 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10845,zip_derived_cl219,zip_derived_cl159,zip_derived_cl222]) ).
thf(zip_derived_cl13209,plain,
( ( ( sum @ n15 @ n15 )
!= n9 )
<= ( ( sk__1 = n6 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl12109]) ).
thf(zip_derived_cl374_1420,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13210,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n6 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13209,zip_derived_cl374]) ).
thf('160',plain,
( ( sk_ != n9 )
| ( sk__1 != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13210]) ).
thf(zip_derived_cl433_1421,plain,
( ( sum @ n18 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_1422,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12573_1423,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl7656]) ).
thf(zip_derived_cl12615,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl12573]) ).
thf(zip_derived_cl32_1424,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl229_1425,plain,
( ( sum @ n8 @ n17 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1426,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl369_1427,plain,
( ( sum @ n15 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_1428,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1429,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1430,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1431,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12660,plain,
( ( n8
!= ( sum @ n18 @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12615,zip_derived_cl32,zip_derived_cl229,zip_derived_cl11,zip_derived_cl369,zip_derived_cl132,zip_derived_cl32,zip_derived_cl11,zip_derived_cl222]) ).
thf(zip_derived_cl13207,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n16 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl12660]) ).
thf('161',plain,
( ( sk_ != n9 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13207]) ).
thf(zip_derived_cl432_1432,plain,
( ( sum @ n18 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_1433,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10396_1434,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl4709]) ).
thf(zip_derived_cl10408,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl10396]) ).
thf(zip_derived_cl32_1435,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1436,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1437,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1438,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10451,plain,
( ( ( sum @ ( sum @ n8 @ n6 ) @ ( sum @ n4 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10408,zip_derived_cl32,zip_derived_cl11,zip_derived_cl32,zip_derived_cl11]) ).
thf(zip_derived_cl218,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1439,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11963,plain,
( ( ( sum @ n14 @ n14 )
!= ( sum @ n18 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10451,zip_derived_cl218,zip_derived_cl138,zip_derived_cl222]) ).
thf(zip_derived_cl13204,plain,
( ( ( sum @ n14 @ n14 )
!= n7 )
<= ( ( sk__1 = n5 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl11963]) ).
thf(zip_derived_cl352_1440,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13205,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n5 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13204,zip_derived_cl352]) ).
thf('162',plain,
( ( sk_ != n9 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13205]) ).
thf(zip_derived_cl431_1441,plain,
( ( sum @ n18 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_1442,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12359_1443,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl7390]) ).
thf(zip_derived_cl12397,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl12359]) ).
thf(zip_derived_cl32_1444,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228,plain,
( ( sum @ n8 @ n16 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1445,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl348,plain,
( ( sum @ n14 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_1446,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1447,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1448,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1449,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12441,plain,
( ( n6
!= ( sum @ n18 @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12397,zip_derived_cl32,zip_derived_cl228,zip_derived_cl11,zip_derived_cl348,zip_derived_cl110,zip_derived_cl32,zip_derived_cl11,zip_derived_cl222]) ).
thf(zip_derived_cl13202,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n15 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl12441]) ).
thf('163',plain,
( ( sk_ != n9 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13202]) ).
thf(zip_derived_cl430_1450,plain,
( ( sum @ n18 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_1451,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9908_1452,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4440]) ).
thf(zip_derived_cl9918,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl9908]) ).
thf(zip_derived_cl32_1453,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1454,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1455,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1456,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9961,plain,
( ( ( sum @ ( sum @ n8 @ n5 ) @ ( sum @ n3 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9918,zip_derived_cl32,zip_derived_cl11,zip_derived_cl32,zip_derived_cl11]) ).
thf(zip_derived_cl217,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117_1457,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1458,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11925,plain,
( ( ( sum @ n13 @ n13 )
!= ( sum @ n18 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9961,zip_derived_cl217,zip_derived_cl117,zip_derived_cl222]) ).
thf(zip_derived_cl13199,plain,
( ( ( sum @ n13 @ n13 )
!= n5 )
<= ( ( sk__1 = n4 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl11925]) ).
thf(zip_derived_cl330_1459,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13200,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n4 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13199,zip_derived_cl330]) ).
thf('164',plain,
( ( sk_ != n9 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13200]) ).
thf(zip_derived_cl429_1460,plain,
( ( sum @ n18 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_1461,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12162_1462,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl7123]) ).
thf(zip_derived_cl12192,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl12162]) ).
thf(zip_derived_cl32_1463,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227,plain,
( ( sum @ n8 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1464,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl327,plain,
( ( sum @ n13 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_1465,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1466,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1467,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1468,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12234,plain,
( ( n4
!= ( sum @ n18 @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12192,zip_derived_cl32,zip_derived_cl227,zip_derived_cl11,zip_derived_cl327,zip_derived_cl88,zip_derived_cl32,zip_derived_cl11,zip_derived_cl222]) ).
thf(zip_derived_cl13197,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n14 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl12234]) ).
thf('165',plain,
( ( sk_ != n9 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13197]) ).
thf(zip_derived_cl428_1469,plain,
( ( sum @ n18 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_1470,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9494_1471,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl4167]) ).
thf(zip_derived_cl9504,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl9494]) ).
thf(zip_derived_cl32_1472,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1473,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1474,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1475,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9547,plain,
( ( ( sum @ ( sum @ n8 @ n4 ) @ ( sum @ n2 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9504,zip_derived_cl32,zip_derived_cl11,zip_derived_cl32,zip_derived_cl11]) ).
thf(zip_derived_cl216_1476,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1477,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11778,plain,
( ( ( sum @ n12 @ n12 )
!= ( sum @ n18 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9547,zip_derived_cl216,zip_derived_cl96,zip_derived_cl222]) ).
thf(zip_derived_cl13194,plain,
( ( ( sum @ n12 @ n12 )
!= n3 )
<= ( ( sk__1 = n3 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl11778]) ).
thf(zip_derived_cl308_1478,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13195,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n3 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13194,zip_derived_cl308]) ).
thf('166',plain,
( ( sk__1 != n3 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13195]) ).
thf(zip_derived_cl427_1479,plain,
( ( sum @ n18 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_1480,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11986_1481,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6856]) ).
thf(zip_derived_cl12011,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl11986]) ).
thf(zip_derived_cl32_1482,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226,plain,
( ( sum @ n8 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1483,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl306,plain,
( ( sum @ n12 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1484,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1485,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1486,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1487,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12053,plain,
( ( n2
!= ( sum @ n18 @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12011,zip_derived_cl32,zip_derived_cl226,zip_derived_cl11,zip_derived_cl306,zip_derived_cl66,zip_derived_cl32,zip_derived_cl11,zip_derived_cl222]) ).
thf(zip_derived_cl13192,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n13 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl12053]) ).
thf('167',plain,
( ( sk_ != n9 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13192]) ).
thf(zip_derived_cl425_1488,plain,
( ( sum @ n18 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_1489,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11809_1490,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl6589]) ).
thf(zip_derived_cl11830,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl11809]) ).
thf(zip_derived_cl32_1491,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl225_1492,plain,
( ( sum @ n8 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1493,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl285_1494,plain,
( ( sum @ n11 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1495,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1496,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1497,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1498,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11872,plain,
( ( n0
!= ( sum @ n18 @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11830,zip_derived_cl32,zip_derived_cl225,zip_derived_cl11,zip_derived_cl285,zip_derived_cl44,zip_derived_cl32,zip_derived_cl11,zip_derived_cl222]) ).
thf(zip_derived_cl13187,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n12 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl425,zip_derived_cl11872]) ).
thf('168',plain,
( ( sk_ != n9 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13187]) ).
thf(zip_derived_cl726_1499,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl2351_1500,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ ( pred @ n9 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n9 ) @ n10 ) ) )
<= ( sk__1 = n9 ) ),
inference(demod,[status(thm)],[zip_derived_cl796,zip_derived_cl11,zip_derived_cl11]) ).
thf(zip_derived_cl2361,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n10 ) @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ ( sum @ ( pred @ n9 ) @ n10 ) ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl2351]) ).
thf(zip_derived_cl11_1501,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1502,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2403,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n10 ) @ ( sum @ ( pred @ n9 ) @ n10 ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ n10 ) @ ( sum @ ( pred @ n9 ) @ n10 ) ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2361,zip_derived_cl11,zip_derived_cl11]) ).
thf('169',plain,
( ( sk_ != n9 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2403]) ).
thf(zip_derived_cl484_1503,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721_1504,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12573_1505,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl7656]) ).
thf(zip_derived_cl12610,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl12573]) ).
thf(zip_derived_cl27_1506,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124_1507,plain,
( ( sum @ n3 @ n17 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_1508,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl364_1509,plain,
( ( sum @ n15 @ n5 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_1510,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_1511,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_1512,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl223_1513,plain,
( ( sum @ n8 @ n11 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12652,plain,
( ( ( sum @ n20 @ n20 )
!= n19 )
<= ( ( sk__1 = n16 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12610,zip_derived_cl27,zip_derived_cl124,zip_derived_cl6,zip_derived_cl364,zip_derived_cl27,zip_derived_cl6,zip_derived_cl112,zip_derived_cl223]) ).
thf(zip_derived_cl13925,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n16 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl12652]) ).
thf('170',plain,
( ( sk__1 != n16 )
| ( sk_ != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13925]) ).
thf(zip_derived_cl481_1514,plain,
( ( sum @ n20 @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_1515,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12573_1516,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl7656]) ).
thf(zip_derived_cl12606,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl12573]) ).
thf(zip_derived_cl23_1517,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_1518,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl360_1519,plain,
( ( sum @ n15 @ n1 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_1520,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_1521,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12648,plain,
( ( ( sum @ ( sum @ n20 @ n17 ) @ n16 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12606,zip_derived_cl23,zip_derived_cl2,zip_derived_cl360,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl13882,plain,
( ( ( sum @ n16 @ n16 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl12648]) ).
thf(zip_derived_cl396_1522,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_1523,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1524,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13884,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n16 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13882,zip_derived_cl396,zip_derived_cl465,zip_derived_cl55]) ).
thf('171',plain,
( ( sk__1 != n16 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13884]) ).
thf(zip_derived_cl475_1525,plain,
( ( sum @ n20 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_1526,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12573_1527,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl7656]) ).
thf(zip_derived_cl12616,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl12573]) ).
thf(zip_derived_cl33_1528,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl250_1529,plain,
( ( sum @ n9 @ n17 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_1530,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl370_1531,plain,
( ( sum @ n15 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_1532,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1533,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_1534,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_1535,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12661,plain,
( ( n10
!= ( sum @ n20 @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12616,zip_derived_cl33,zip_derived_cl250,zip_derived_cl12,zip_derived_cl370,zip_derived_cl154,zip_derived_cl33,zip_derived_cl12,zip_derived_cl244]) ).
thf(zip_derived_cl13820,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n16 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl12661]) ).
thf('172',plain,
( ( sk__1 != n16 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13820]) ).
thf(zip_derived_cl462_1536,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720_1537,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12573_1538,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl7656]) ).
thf(zip_derived_cl12609,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl12573]) ).
thf(zip_derived_cl26_1539,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103_1540,plain,
( ( sum @ n2 @ n17 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_1541,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl363_1542,plain,
( ( sum @ n15 @ n4 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_1543,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_1544,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_1545,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl181,plain,
( ( sum @ n6 @ n11 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12651,plain,
( ( ( sum @ n19 @ n19 )
!= n17 )
<= ( ( sk__1 = n16 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12609,zip_derived_cl26,zip_derived_cl103,zip_derived_cl5,zip_derived_cl363,zip_derived_cl26,zip_derived_cl5,zip_derived_cl90,zip_derived_cl181]) ).
thf(zip_derived_cl13612,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n16 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl12651]) ).
thf('173',plain,
( ( sk__1 != n16 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13612]) ).
thf(zip_derived_cl460_1546,plain,
( ( sum @ n19 @ n17 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_1547,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12573_1548,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl7656]) ).
thf(zip_derived_cl12626,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl12573]) ).
thf(zip_derived_cl43_1549,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_1550,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl359_1551,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1552,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_1553,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12677,plain,
( ( ( sum @ ( sum @ n19 @ n17 ) @ n15 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12626,zip_derived_cl43,zip_derived_cl22,zip_derived_cl359,zip_derived_cl43,zip_derived_cl22]) ).
thf(zip_derived_cl13580,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl12677]) ).
thf(zip_derived_cl374_1554,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_1555,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl454,plain,
( ( sum @ n19 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13581,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n16 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13580,zip_derived_cl374,zip_derived_cl443,zip_derived_cl454]) ).
thf('174',plain,
( ( sk__1 != n16 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13581]) ).
thf(zip_derived_cl440_1556,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_1557,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12573_1558,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl7656]) ).
thf(zip_derived_cl12608,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl12573]) ).
thf(zip_derived_cl25_1559,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_1560,plain,
( ( sum @ n1 @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_1561,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl362_1562,plain,
( ( sum @ n15 @ n3 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_1563,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_1564,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1565,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12650,plain,
( ( ( sum @ n18 @ n18 )
!= n15 )
<= ( ( sk__1 = n16 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12608,zip_derived_cl25,zip_derived_cl82,zip_derived_cl4,zip_derived_cl362,zip_derived_cl25,zip_derived_cl4,zip_derived_cl68,zip_derived_cl139]) ).
thf(zip_derived_cl13250,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n16 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl12650]) ).
thf('175',plain,
( ( sk__1 != n16 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13250]) ).
thf(zip_derived_cl418_1566,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718_1567,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12573_1568,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl7656]) ).
thf(zip_derived_cl12607,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl12573]) ).
thf(zip_derived_cl24_1569,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1570,plain,
( ( sum @ n0 @ n17 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1571,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl361_1572,plain,
( ( sum @ n15 @ n2 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1573,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1574,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1575,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12649,plain,
( ( ( sum @ n17 @ n17 )
!= n13 )
<= ( ( sk__1 = n16 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12607,zip_derived_cl24,zip_derived_cl61,zip_derived_cl3,zip_derived_cl361,zip_derived_cl24,zip_derived_cl3,zip_derived_cl46,zip_derived_cl97]) ).
thf(zip_derived_cl13004,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n16 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl12649]) ).
thf('176',plain,
( ( sk__1 != n16 )
| ( sk_ != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13004]) ).
thf(zip_derived_cl398_1576,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_1577,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12573_1578,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl7656]) ).
thf(zip_derived_cl12623,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl12573]) ).
thf(zip_derived_cl40_1579,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_1580,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl377_1581,plain,
( ( sum @ n15 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1582,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_1583,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12674,plain,
( ( ( sum @ ( sum @ n16 @ n17 ) @ n12 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12623,zip_derived_cl40,zip_derived_cl19,zip_derived_cl377,zip_derived_cl40,zip_derived_cl19]) ).
thf(zip_derived_cl12810,plain,
( ( ( sum @ ( sum @ n16 @ n17 ) @ n12 )
!= ( sum @ n13 @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl12674]) ).
thf(zip_derived_cl397_1584,plain,
( ( sum @ n16 @ n17 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308_1585,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl328,plain,
( ( sum @ n13 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12834,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n16 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12810,zip_derived_cl397,zip_derived_cl308,zip_derived_cl328]) ).
thf('177',plain,
( ( sk__1 != n16 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12834]) ).
thf(zip_derived_cl391_1586,plain,
( ( sum @ n16 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725_1587,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12573_1588,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl7656]) ).
thf(zip_derived_cl12614,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl12573]) ).
thf(zip_derived_cl31_1589,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl208_1590,plain,
( ( sum @ n7 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_1591,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl368_1592,plain,
( ( sum @ n15 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_1593,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1594,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_1595,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_1596,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12659,plain,
( ( n6
!= ( sum @ n16 @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12614,zip_derived_cl31,zip_derived_cl208,zip_derived_cl10,zip_derived_cl368,zip_derived_cl110,zip_derived_cl31,zip_derived_cl10,zip_derived_cl200]) ).
thf(zip_derived_cl12736,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n16 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl391,zip_derived_cl12659]) ).
thf('178',plain,
( ( sk__1 != n16 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12736]) ).
thf(zip_derived_cl732_1597,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12573_1598,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl7656]) ).
thf(zip_derived_cl12621,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl12573]) ).
thf(zip_derived_cl38_1599,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl355_1600,plain,
( ( sum @ n14 @ n17 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_1601,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl375_1602,plain,
( ( sum @ n15 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_1603,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_1604,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_1605,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_1606,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_1607,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12670,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n16 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12621,zip_derived_cl38,zip_derived_cl355,zip_derived_cl17,zip_derived_cl375,zip_derived_cl264,zip_derived_cl38,zip_derived_cl17,zip_derived_cl354,zip_derived_cl244]) ).
thf('179',plain,
( ( sk__1 != n16 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12670]) ).
thf(zip_derived_cl731_1608,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12573_1609,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl7656]) ).
thf(zip_derived_cl12620,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl12573]) ).
thf(zip_derived_cl37_1610,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334_1611,plain,
( ( sum @ n13 @ n17 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_1612,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374_1613,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_1614,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1615,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_1616,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_1617,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl202,plain,
( ( sum @ n7 @ n11 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12668,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n16 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12620,zip_derived_cl37,zip_derived_cl334,zip_derived_cl16,zip_derived_cl374,zip_derived_cl242,zip_derived_cl37,zip_derived_cl16,zip_derived_cl332,zip_derived_cl202]) ).
thf('180',plain,
( ( sk__1 != n16 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12668]) ).
thf(zip_derived_cl730_1618,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12573_1619,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl7656]) ).
thf(zip_derived_cl12619,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl12573]) ).
thf(zip_derived_cl36_1620,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl313_1621,plain,
( ( sum @ n12 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_1622,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl373_1623,plain,
( ( sum @ n15 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_1624,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1625,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_1626,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_1627,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160,plain,
( ( sum @ n5 @ n11 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12666,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n16 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12619,zip_derived_cl36,zip_derived_cl313,zip_derived_cl15,zip_derived_cl373,zip_derived_cl220,zip_derived_cl36,zip_derived_cl15,zip_derived_cl310,zip_derived_cl160]) ).
thf('181',plain,
( ( sk__1 != n16 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12666]) ).
thf(zip_derived_cl728_1628,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12573_1629,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl7656]) ).
thf(zip_derived_cl12617,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl12573]) ).
thf(zip_derived_cl34_1630,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl271_1631,plain,
( ( sum @ n10 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_1632,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl371_1633,plain,
( ( sum @ n15 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_1634,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_1635,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_1636,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_1637,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1638,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12662,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n16 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12617,zip_derived_cl34,zip_derived_cl271,zip_derived_cl13,zip_derived_cl371,zip_derived_cl176,zip_derived_cl34,zip_derived_cl13,zip_derived_cl266,zip_derived_cl76]) ).
thf('182',plain,
( ( sk__1 != n16 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12662]) ).
thf(zip_derived_cl724_1639,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12573_1640,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl7656]) ).
thf(zip_derived_cl12613,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl12573]) ).
thf(zip_derived_cl30_1641,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl187_1642,plain,
( ( sum @ n6 @ n17 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_1643,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl367_1644,plain,
( ( sum @ n15 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_1645,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_1646,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_1647,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_1648,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl349,plain,
( ( sum @ n14 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12657,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n16 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12613,zip_derived_cl30,zip_derived_cl187,zip_derived_cl9,zip_derived_cl367,zip_derived_cl88,zip_derived_cl30,zip_derived_cl9,zip_derived_cl178,zip_derived_cl349]) ).
thf('183',plain,
( ( sk__1 != n16 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12657]) ).
thf(zip_derived_cl723_1649,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12573_1650,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl7656]) ).
thf(zip_derived_cl12612,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl12573]) ).
thf(zip_derived_cl29_1651,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166_1652,plain,
( ( sum @ n5 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_1653,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl366_1654,plain,
( ( sum @ n15 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1655,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1656,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_1657,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_1658,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl307,plain,
( ( sum @ n12 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12655,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n16 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12612,zip_derived_cl29,zip_derived_cl166,zip_derived_cl8,zip_derived_cl366,zip_derived_cl66,zip_derived_cl29,zip_derived_cl8,zip_derived_cl156,zip_derived_cl307]) ).
thf('184',plain,
( ( sk__1 != n16 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12655]) ).
thf(zip_derived_cl722_1659,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12573_1660,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl7656]) ).
thf(zip_derived_cl12611,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n11 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl12573]) ).
thf(zip_derived_cl28_1661,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145_1662,plain,
( ( sum @ n4 @ n17 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1663,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl365_1664,plain,
( ( sum @ n15 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1665,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_1666,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1667,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_1668,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl265,plain,
( ( sum @ n10 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12653,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n16 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12611,zip_derived_cl28,zip_derived_cl145,zip_derived_cl7,zip_derived_cl365,zip_derived_cl44,zip_derived_cl28,zip_derived_cl7,zip_derived_cl134,zip_derived_cl265]) ).
thf('185',plain,
( ( sk__1 != n16 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12653]) ).
thf(zip_derived_cl484_1669,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718_1670,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13271_1671,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl8276]) ).
thf(zip_derived_cl13327,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl13271]) ).
thf(zip_derived_cl24_1672,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1673,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1674,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl424_1675,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1676,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1677,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1678,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103_1679,plain,
( ( sum @ n2 @ n17 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13369,plain,
( ( ( sum @ n20 @ n20 )
!= n19 )
<= ( ( sk__1 = n19 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13327,zip_derived_cl24,zip_derived_cl64,zip_derived_cl3,zip_derived_cl424,zip_derived_cl24,zip_derived_cl3,zip_derived_cl46,zip_derived_cl103]) ).
thf(zip_derived_cl13931,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n19 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl13369]) ).
thf('186',plain,
( ( sk_ != n1 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13931]) ).
thf(zip_derived_cl462_1680,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718_1681,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13022_1682,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl8098]) ).
thf(zip_derived_cl13073,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl13022]) ).
thf(zip_derived_cl24_1683,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1684,plain,
( ( sum @ n0 @ n19 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1685,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl403_1686,plain,
( ( sum @ n17 @ n2 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1687,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1688,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1689,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101,plain,
( ( sum @ n2 @ n15 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13115,plain,
( ( ( sum @ n19 @ n19 )
!= n17 )
<= ( ( sk__1 = n18 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13073,zip_derived_cl24,zip_derived_cl63,zip_derived_cl3,zip_derived_cl403,zip_derived_cl24,zip_derived_cl3,zip_derived_cl46,zip_derived_cl101]) ).
thf(zip_derived_cl13616,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n18 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl13115]) ).
thf('187',plain,
( ( sk_ != n1 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13616]) ).
thf(zip_derived_cl718_1690,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13325_1691,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl8452]) ).
thf(zip_derived_cl13445,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n0 ) @ ( sum @ n19 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl13325]) ).
thf(zip_derived_cl24_1692,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1693,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1694,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1695,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1696,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1697,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl105_1698,plain,
( ( sum @ n2 @ n19 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13487,plain,
( ( ( sum @ n0 @ ( sum @ n19 @ n2 ) )
!= n0 )
<= ( ( sk__1 = n20 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13445,zip_derived_cl24,zip_derived_cl44,zip_derived_cl3,zip_derived_cl24,zip_derived_cl3,zip_derived_cl46,zip_derived_cl105]) ).
thf(zip_derived_cl445_1699,plain,
( ( sum @ n19 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1700,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13583,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n20 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13487,zip_derived_cl445,zip_derived_cl44]) ).
thf('188',plain,
( ( sk_ != n1 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13583]) ).
thf(zip_derived_cl396_1701,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718_1702,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12359_1703,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl7390]) ).
thf(zip_derived_cl12389,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl12359]) ).
thf(zip_derived_cl24_1704,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1705,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1706,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl340_1707,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1708,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1709,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1710,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12431,plain,
( ( ( sum @ n16 @ n16 )
!= n11 )
<= ( ( sk__1 = n15 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12389,zip_derived_cl24,zip_derived_cl60,zip_derived_cl3,zip_derived_cl340,zip_derived_cl24,zip_derived_cl3,zip_derived_cl46,zip_derived_cl95]) ).
thf(zip_derived_cl12783,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n15 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl12431]) ).
thf('189',plain,
( ( sk_ != n1 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12783]) ).
thf(zip_derived_cl374_1711,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718_1712,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12162_1713,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl7123]) ).
thf(zip_derived_cl12184,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl12162]) ).
thf(zip_derived_cl24_1714,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1715,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1716,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl319_1717,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1718,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1719,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1720,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12226,plain,
( ( ( sum @ n15 @ n15 )
!= n9 )
<= ( ( sk__1 = n14 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12184,zip_derived_cl24,zip_derived_cl59,zip_derived_cl3,zip_derived_cl319,zip_derived_cl24,zip_derived_cl3,zip_derived_cl46,zip_derived_cl93]) ).
thf(zip_derived_cl12558,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n14 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl12226]) ).
thf('190',plain,
( ( sk_ != n1 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12558]) ).
thf(zip_derived_cl352_1721,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718_1722,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11986_1723,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6856]) ).
thf(zip_derived_cl12003,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl11986]) ).
thf(zip_derived_cl24_1724,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1725,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1726,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl298_1727,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1728,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1729,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1730,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12045,plain,
( ( ( sum @ n14 @ n14 )
!= n7 )
<= ( ( sk__1 = n13 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12003,zip_derived_cl24,zip_derived_cl58,zip_derived_cl3,zip_derived_cl298,zip_derived_cl24,zip_derived_cl3,zip_derived_cl46,zip_derived_cl91]) ).
thf(zip_derived_cl12347,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n13 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl12045]) ).
thf('191',plain,
( ( sk_ != n1 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12347]) ).
thf(zip_derived_cl330_1731,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718_1732,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11809_1733,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl6589]) ).
thf(zip_derived_cl11822,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl11809]) ).
thf(zip_derived_cl24_1734,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1735,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1736,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl277_1737,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1738,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1739,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1740,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_1741,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11864,plain,
( ( ( sum @ n13 @ n13 )
!= n5 )
<= ( ( sk__1 = n12 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11822,zip_derived_cl24,zip_derived_cl57,zip_derived_cl3,zip_derived_cl277,zip_derived_cl24,zip_derived_cl3,zip_derived_cl46,zip_derived_cl89]) ).
thf(zip_derived_cl12150,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n12 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl11864]) ).
thf('192',plain,
( ( sk_ != n1 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12150]) ).
thf(zip_derived_cl308_1742,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718_1743,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11633_1744,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6321]) ).
thf(zip_derived_cl11643,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl11633]) ).
thf(zip_derived_cl24_1745,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1746,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1747,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_1748,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1749,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1750,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1751,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_1752,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11685,plain,
( ( ( sum @ n12 @ n12 )
!= n3 )
<= ( ( sk__1 = n11 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11643,zip_derived_cl24,zip_derived_cl56,zip_derived_cl3,zip_derived_cl256,zip_derived_cl24,zip_derived_cl3,zip_derived_cl46,zip_derived_cl87]) ).
thf(zip_derived_cl11975,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n11 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl11685]) ).
thf('193',plain,
( ( sk__1 != n11 )
| ( sk_ != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11975]) ).
thf(zip_derived_cl286_1753,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718_1754,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11489_1755,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl6054]) ).
thf(zip_derived_cl11491,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl11489]) ).
thf(zip_derived_cl24_1756,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1757,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1758,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl235_1759,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1760,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1761,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1762,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106_1763,plain,
( ( sum @ n2 @ n20 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11533,plain,
( ( ( sum @ n11 @ n11 )
!= n1 )
<= ( ( sk__1 = n10 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11491,zip_derived_cl24,zip_derived_cl55,zip_derived_cl3,zip_derived_cl235,zip_derived_cl24,zip_derived_cl3,zip_derived_cl46,zip_derived_cl106]) ).
thf(zip_derived_cl11798,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n10 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl286,zip_derived_cl11533]) ).
thf('194',plain,
( ( sk_ != n1 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11798]) ).
thf(zip_derived_cl264_1764,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718_1765,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11335_1766,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl5787]) ).
thf(zip_derived_cl11341,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl11335]) ).
thf(zip_derived_cl24_1767,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1768,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1769,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214_1770,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1771,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1772,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1773,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104_1774,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11383,plain,
( ( ( sum @ n10 @ n10 )
!= n20 )
<= ( ( sk__1 = n9 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11341,zip_derived_cl24,zip_derived_cl54,zip_derived_cl3,zip_derived_cl214,zip_derived_cl24,zip_derived_cl3,zip_derived_cl46,zip_derived_cl104]) ).
thf(zip_derived_cl11620,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n9 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl11383]) ).
thf('195',plain,
( ( sk_ != n1 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11620]) ).
thf(zip_derived_cl242_1775,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718_1776,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11156_1777,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl5520]) ).
thf(zip_derived_cl11162,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl11156]) ).
thf(zip_derived_cl24_1778,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1779,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1780,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl193_1781,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1782,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1783,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1784,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11204,plain,
( ( ( sum @ n9 @ n9 )
!= n18 )
<= ( ( sk__1 = n8 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11162,zip_derived_cl24,zip_derived_cl53,zip_derived_cl3,zip_derived_cl193,zip_derived_cl24,zip_derived_cl3,zip_derived_cl46,zip_derived_cl102]) ).
thf(zip_derived_cl11482,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n8 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl11204]) ).
thf('196',plain,
( ( sk_ != n1 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11482]) ).
thf(zip_derived_cl220_1785,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718_1786,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10971_1787,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl5250]) ).
thf(zip_derived_cl10979,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl10971]) ).
thf(zip_derived_cl24_1788,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_1789,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1790,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172_1791,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1792,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1793,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1794,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11021,plain,
( ( ( sum @ n8 @ n8 )
!= n16 )
<= ( ( sk__1 = n7 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10979,zip_derived_cl24,zip_derived_cl52,zip_derived_cl3,zip_derived_cl172,zip_derived_cl24,zip_derived_cl3,zip_derived_cl46,zip_derived_cl100]) ).
thf(zip_derived_cl11324,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n7 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl220,zip_derived_cl11021]) ).
thf('197',plain,
( ( sk_ != n1 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11324]) ).
thf(zip_derived_cl198_1795,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718_1796,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10788_1797,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl4981]) ).
thf(zip_derived_cl10794,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl10788]) ).
thf(zip_derived_cl24_1798,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_1799,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1800,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl151_1801,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1802,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1803,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1804,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10836,plain,
( ( ( sum @ n7 @ n7 )
!= n14 )
<= ( ( sk__1 = n6 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10794,zip_derived_cl24,zip_derived_cl51,zip_derived_cl3,zip_derived_cl151,zip_derived_cl24,zip_derived_cl3,zip_derived_cl46,zip_derived_cl98]) ).
thf(zip_derived_cl11144,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n6 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl198,zip_derived_cl10836]) ).
thf('198',plain,
( ( sk_ != n1 )
| ( sk__1 != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11144]) ).
thf(zip_derived_cl176_1805,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718_1806,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10396_1807,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl4709]) ).
thf(zip_derived_cl10400,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl10396]) ).
thf(zip_derived_cl24_1808,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_1809,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1810,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_1811,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1812,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1813,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1814,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_1815,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10442,plain,
( ( ( sum @ n6 @ n6 )
!= n12 )
<= ( ( sk__1 = n5 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10400,zip_derived_cl24,zip_derived_cl50,zip_derived_cl3,zip_derived_cl130,zip_derived_cl24,zip_derived_cl3,zip_derived_cl46,zip_derived_cl96]) ).
thf(zip_derived_cl10960,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n5 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl10442]) ).
thf('199',plain,
( ( sk_ != n1 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10960]) ).
thf(zip_derived_cl718_1816,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9494_1817,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl4167]) ).
thf(zip_derived_cl9496,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl9494]) ).
thf(zip_derived_cl24_1818,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1819,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1820,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_1821,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1822,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1823,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1824,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9538,plain,
( ( ( sum @ n4 @ n4 )
!= ( sum @ n2 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9496,zip_derived_cl24,zip_derived_cl48,zip_derived_cl3,zip_derived_cl88,zip_derived_cl24,zip_derived_cl3,zip_derived_cl46]) ).
thf(zip_derived_cl132_1825,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10944,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n3 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9538,zip_derived_cl132,zip_derived_cl92]) ).
thf('200',plain,
( ( sk__1 != n3 )
| ( sk_ != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10944]) ).
thf(zip_derived_cl154_1826,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718_1827,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9908_1828,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4440]) ).
thf(zip_derived_cl9910,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl9908]) ).
thf(zip_derived_cl24_1829,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_1830,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1831,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109_1832,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1833,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_1834,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1835,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9952,plain,
( ( ( sum @ n5 @ n5 )
!= n10 )
<= ( ( sk__1 = n4 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9910,zip_derived_cl24,zip_derived_cl49,zip_derived_cl3,zip_derived_cl109,zip_derived_cl24,zip_derived_cl3,zip_derived_cl46,zip_derived_cl94]) ).
thf(zip_derived_cl10777,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n4 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl9952]) ).
thf('201',plain,
( ( sk_ != n1 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10777]) ).
thf(zip_derived_cl484_1836,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_1837,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731_1838,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10788_1839,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl4981]) ).
thf(zip_derived_cl10807,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl10788]) ).
thf(zip_derived_cl37_1840,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_1841,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1842,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_1843,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10850,plain,
( ( ( sum @ ( sum @ n13 @ n7 ) @ ( sum @ n5 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10807,zip_derived_cl37,zip_derived_cl16,zip_derived_cl37,zip_derived_cl16]) ).
thf(zip_derived_cl164,plain,
( ( sum @ n5 @ n15 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12114,plain,
( ( ( sum @ ( sum @ n13 @ n7 ) @ n20 )
!= ( sum @ ( sum @ n13 @ n15 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10850,zip_derived_cl164]) ).
thf(zip_derived_cl12169,plain,
( ( ( sum @ ( sum @ n13 @ n7 ) @ n20 )
!= ( sum @ n7 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl12114]) ).
thf(zip_derived_cl324,plain,
( ( sum @ n13 @ n7 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl203,plain,
( ( sum @ n7 @ n12 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12179,plain,
( ( ( sum @ n20 @ n20 )
!= n19 )
<= ( ( sk__1 = n6 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12169,zip_derived_cl324,zip_derived_cl203]) ).
thf(zip_derived_cl13918,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n6 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl12179]) ).
thf('202',plain,
( ( sk__1 != n6 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13918]) ).
thf(zip_derived_cl476_1844,plain,
( ( sum @ n20 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_1845,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10788_1846,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl4981]) ).
thf(zip_derived_cl10803,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl10788]) ).
thf(zip_derived_cl33_1847,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_1848,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1849,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_1850,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10846,plain,
( ( ( sum @ ( sum @ n9 @ n7 ) @ ( sum @ n5 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10803,zip_derived_cl33,zip_derived_cl12,zip_derived_cl33,zip_derived_cl12]) ).
thf(zip_derived_cl240,plain,
( ( sum @ n9 @ n7 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_1851,plain,
( ( sum @ n5 @ n11 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_1852,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12110,plain,
( ( ( sum @ n16 @ n16 )
!= ( sum @ n20 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10846,zip_derived_cl240,zip_derived_cl160,zip_derived_cl244]) ).
thf(zip_derived_cl13831,plain,
( ( ( sum @ n16 @ n16 )
!= n11 )
<= ( ( sk__1 = n6 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl12110]) ).
thf(zip_derived_cl396_1853,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13834,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n6 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13831,zip_derived_cl396]) ).
thf('203',plain,
( ( sk__1 != n6 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13834]) ).
thf(zip_derived_cl471_1854,plain,
( ( sum @ n20 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_1855,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10788_1856,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl4981]) ).
thf(zip_derived_cl10793,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl10788]) ).
thf(zip_derived_cl23_1857,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_1858,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl150_1859,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_1860,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_1861,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10835,plain,
( ( ( sum @ ( sum @ n20 @ n7 ) @ n6 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10793,zip_derived_cl23,zip_derived_cl2,zip_derived_cl150,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl13777,plain,
( ( ( sum @ n6 @ n6 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl471,zip_derived_cl10835]) ).
thf(zip_derived_cl176_1862,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_1863,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1864,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13779,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n6 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13777,zip_derived_cl176,zip_derived_cl465,zip_derived_cl56]) ).
thf('204',plain,
( ( sk__1 != n6 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13779]) ).
thf(zip_derived_cl462_1865,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730_1866,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10788_1867,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl4981]) ).
thf(zip_derived_cl10806,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl10788]) ).
thf(zip_derived_cl36_1868,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_1869,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1870,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_1871,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10849,plain,
( ( ( sum @ ( sum @ n12 @ n7 ) @ ( sum @ n5 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10806,zip_derived_cl36,zip_derived_cl15,zip_derived_cl36,zip_derived_cl15]) ).
thf(zip_derived_cl303,plain,
( ( sum @ n12 @ n7 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl163,plain,
( ( sum @ n5 @ n14 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_1872,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl161,plain,
( ( sum @ n5 @ n12 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12113,plain,
( ( ( sum @ n19 @ n19 )
!= n17 )
<= ( ( sk__1 = n6 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10849,zip_derived_cl303,zip_derived_cl163,zip_derived_cl310,zip_derived_cl161]) ).
thf(zip_derived_cl13604,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n6 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl12113]) ).
thf('205',plain,
( ( sk__1 != n6 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13604]) ).
thf(zip_derived_cl450,plain,
( ( sum @ n19 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_1873,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10788_1874,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl4981]) ).
thf(zip_derived_cl10813,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl10788]) ).
thf(zip_derived_cl43_1875,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_1876,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149_1877,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1878,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_1879,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10856,plain,
( ( ( sum @ ( sum @ n19 @ n7 ) @ n5 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10813,zip_derived_cl43,zip_derived_cl22,zip_derived_cl149,zip_derived_cl43,zip_derived_cl22]) ).
thf(zip_derived_cl13541,plain,
( ( ( sum @ n5 @ n5 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl10856]) ).
thf(zip_derived_cl154_1880,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_1881,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13542,plain,
( ( n10
!= ( sum @ n19 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13541,zip_derived_cl154,zip_derived_cl443]) ).
thf(zip_derived_cl455,plain,
( ( sum @ n19 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13571,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n6 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13542,zip_derived_cl455]) ).
thf('206',plain,
( ( sk__1 != n6 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13571]) ).
thf(zip_derived_cl418_1882,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728_1883,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10788_1884,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl4981]) ).
thf(zip_derived_cl10804,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl10788]) ).
thf(zip_derived_cl34_1885,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_1886,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_1887,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_1888,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10847,plain,
( ( ( sum @ ( sum @ n10 @ n7 ) @ ( sum @ n5 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10804,zip_derived_cl34,zip_derived_cl13,zip_derived_cl34,zip_derived_cl13]) ).
thf(zip_derived_cl261,plain,
( ( sum @ n10 @ n7 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl161_1889,plain,
( ( sum @ n5 @ n12 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_1890,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_1891,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12111,plain,
( ( ( sum @ n17 @ n17 )
!= n13 )
<= ( ( sk__1 = n6 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10847,zip_derived_cl261,zip_derived_cl161,zip_derived_cl266,zip_derived_cl77]) ).
thf(zip_derived_cl12998,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n6 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl12111]) ).
thf('207',plain,
( ( sk__1 != n6 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12998]) ).
thf(zip_derived_cl398_1892,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_1893,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10788_1894,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl4981]) ).
thf(zip_derived_cl10810,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl10788]) ).
thf(zip_derived_cl40_1895,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_1896,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1897,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_1898,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10853,plain,
( ( ( sum @ ( sum @ n16 @ n7 ) @ ( sum @ n5 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10810,zip_derived_cl40,zip_derived_cl19,zip_derived_cl40,zip_derived_cl19]) ).
thf(zip_derived_cl167_1899,plain,
( ( sum @ n5 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12117,plain,
( ( ( sum @ ( sum @ n16 @ n7 ) @ n2 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10853,zip_derived_cl167]) ).
thf(zip_derived_cl12804,plain,
( ( ( sum @ ( sum @ n16 @ n7 ) @ n2 )
!= ( sum @ n13 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl12117]) ).
thf(zip_derived_cl387_1900,plain,
( ( sum @ n16 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_1901,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl329,plain,
( ( sum @ n13 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12822,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n6 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12804,zip_derived_cl387,zip_derived_cl88,zip_derived_cl329]) ).
thf('208',plain,
( ( sk__1 != n6 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12822]) ).
thf(zip_derived_cl392_1902,plain,
( ( sum @ n16 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725_1903,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10788_1904,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl4981]) ).
thf(zip_derived_cl10801,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl10788]) ).
thf(zip_derived_cl31_1905,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_1906,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1907,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_1908,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10844,plain,
( ( ( sum @ ( sum @ n7 @ n7 ) @ ( sum @ n5 @ n9 ) )
!= ( sum @ ( sum @ n7 @ n9 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10801,zip_derived_cl31,zip_derived_cl10,zip_derived_cl31,zip_derived_cl10]) ).
thf(zip_derived_cl198_1909,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_1910,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12108,plain,
( ( ( sum @ n14 @ n14 )
!= ( sum @ n16 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10844,zip_derived_cl198,zip_derived_cl158,zip_derived_cl200]) ).
thf(zip_derived_cl12744,plain,
( ( ( sum @ n14 @ n14 )
!= n7 )
<= ( ( sk__1 = n6 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl12108]) ).
thf(zip_derived_cl352_1911,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12745,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n6 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12744,zip_derived_cl352]) ).
thf('209',plain,
( ( sk__1 != n6 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12745]) ).
thf(zip_derived_cl354_1912,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_1913,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10788_1914,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl4981]) ).
thf(zip_derived_cl10808,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl10788]) ).
thf(zip_derived_cl38_1915,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_1916,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_1917,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_1918,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10851,plain,
( ( ( sum @ ( sum @ n14 @ n7 ) @ ( sum @ n5 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10808,zip_derived_cl38,zip_derived_cl17,zip_derived_cl38,zip_derived_cl17]) ).
thf(zip_derived_cl165,plain,
( ( sum @ n5 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12115,plain,
( ( ( sum @ ( sum @ n14 @ n7 ) @ n0 )
!= ( sum @ ( sum @ n14 @ n16 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10851,zip_derived_cl165]) ).
thf(zip_derived_cl12365,plain,
( ( ( sum @ ( sum @ n14 @ n7 ) @ n0 )
!= ( sum @ n9 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl12115]) ).
thf(zip_derived_cl345,plain,
( ( sum @ n14 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1919,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245,plain,
( ( sum @ n9 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12376,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n6 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12365,zip_derived_cl345,zip_derived_cl44,zip_derived_cl245]) ).
thf('210',plain,
( ( sk__1 != n6 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12376]) ).
thf(zip_derived_cl350_1920,plain,
( ( sum @ n14 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724_1921,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10788_1922,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl4981]) ).
thf(zip_derived_cl10800,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl10788]) ).
thf(zip_derived_cl30_1923,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_1924,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl157,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_1925,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_1926,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10843,plain,
( ( ( sum @ ( sum @ n6 @ n7 ) @ n13 )
!= ( sum @ ( sum @ n6 @ n8 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10800,zip_derived_cl30,zip_derived_cl9,zip_derived_cl157,zip_derived_cl30,zip_derived_cl9]) ).
thf(zip_derived_cl177,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_1927,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11576,plain,
( ( ( sum @ n13 @ n13 )
!= ( sum @ n14 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10843,zip_derived_cl177,zip_derived_cl178]) ).
thf(zip_derived_cl12325,plain,
( ( ( sum @ n13 @ n13 )
!= n5 )
<= ( ( sk__1 = n6 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl11576]) ).
thf(zip_derived_cl330_1928,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12326,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n6 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12325,zip_derived_cl330]) ).
thf('211',plain,
( ( sk__1 != n6 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12326]) ).
thf(zip_derived_cl286_1929,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl722_1930,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10788_1931,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl4981]) ).
thf(zip_derived_cl10798,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl10788]) ).
thf(zip_derived_cl28_1932,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1933,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl155,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_1934,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1935,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_1936,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10840,plain,
( ( ( sum @ n11 @ n11 )
!= ( sum @ n10 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10798,zip_derived_cl28,zip_derived_cl135,zip_derived_cl7,zip_derived_cl155,zip_derived_cl28,zip_derived_cl7,zip_derived_cl134]) ).
thf(zip_derived_cl11794,plain,
( ( n1
!= ( sum @ n10 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl286,zip_derived_cl10840]) ).
thf(zip_derived_cl266_1937,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11799,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n6 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11794,zip_derived_cl266]) ).
thf('212',plain,
( ( sk__1 != n6 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11799]) ).
thf(zip_derived_cl264_1938,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721_1939,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10788_1940,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl4981]) ).
thf(zip_derived_cl10797,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl10788]) ).
thf(zip_derived_cl27_1941,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114_1942,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_1943,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_1944,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_1945,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_1946,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_1947,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10839,plain,
( ( ( sum @ n10 @ n10 )
!= ( sum @ n8 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10797,zip_derived_cl27,zip_derived_cl114,zip_derived_cl6,zip_derived_cl154,zip_derived_cl27,zip_derived_cl6,zip_derived_cl112]) ).
thf(zip_derived_cl11618,plain,
( ( n20
!= ( sum @ n8 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl10839]) ).
thf(zip_derived_cl224_1948,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11623,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n6 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11618,zip_derived_cl224]) ).
thf('213',plain,
( ( sk__1 != n6 )
| ( sk_ != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11623]) ).
thf(zip_derived_cl242_1949,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720_1950,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10788_1951,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl4981]) ).
thf(zip_derived_cl10796,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl10788]) ).
thf(zip_derived_cl26_1952,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_1953,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_1954,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl153_1955,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_1956,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_1957,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_1958,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10838,plain,
( ( ( sum @ n9 @ n9 )
!= ( sum @ n6 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10796,zip_derived_cl26,zip_derived_cl93,zip_derived_cl5,zip_derived_cl153,zip_derived_cl26,zip_derived_cl5,zip_derived_cl90]) ).
thf(zip_derived_cl182,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11330,plain,
( ( ( sum @ n9 @ n9 )
!= n18 )
<= ( ( sk__1 = n6 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10838,zip_derived_cl182]) ).
thf(zip_derived_cl11483,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n6 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl11330]) ).
thf('214',plain,
( ( sk__1 != n6 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11483]) ).
thf(zip_derived_cl220_1959,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_1960,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10788_1961,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl4981]) ).
thf(zip_derived_cl10795,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl10788]) ).
thf(zip_derived_cl25_1962,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1963,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_1964,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl152_1965,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_1966,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_1967,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1968,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10837,plain,
( ( ( sum @ n8 @ n8 )
!= n16 )
<= ( ( sk__1 = n6 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10795,zip_derived_cl25,zip_derived_cl72,zip_derived_cl4,zip_derived_cl152,zip_derived_cl25,zip_derived_cl4,zip_derived_cl68,zip_derived_cl140]) ).
thf(zip_derived_cl11323,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n6 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl220,zip_derived_cl10837]) ).
thf('215',plain,
( ( sk__1 != n6 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11323]) ).
thf(zip_derived_cl723_1969,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl2121_1970,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ ( pred @ n6 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n6 ) @ n7 ) ) )
<= ( sk__1 = n6 ) ),
inference(demod,[status(thm)],[zip_derived_cl766,zip_derived_cl8,zip_derived_cl8]) ).
thf(zip_derived_cl2128,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n7 ) @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ ( sum @ ( pred @ n6 ) @ n7 ) ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl2121]) ).
thf(zip_derived_cl8_1971,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_1972,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2170,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n7 ) @ ( sum @ ( pred @ n6 ) @ n7 ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ n7 ) @ ( sum @ ( pred @ n6 ) @ n7 ) ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2128,zip_derived_cl8,zip_derived_cl8]) ).
thf('216',plain,
( ( sk__1 != n6 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2170]) ).
thf(zip_derived_cl462_1973,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721_1974,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12359_1975,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl7390]) ).
thf(zip_derived_cl12392,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl12359]) ).
thf(zip_derived_cl27_1976,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl123_1977,plain,
( ( sum @ n3 @ n16 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_1978,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl343,plain,
( ( sum @ n14 @ n5 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_1979,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_1980,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_1981,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221_1982,plain,
( ( sum @ n8 @ n9 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12434,plain,
( ( ( sum @ n19 @ n19 )
!= n17 )
<= ( ( sk__1 = n15 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12392,zip_derived_cl27,zip_derived_cl123,zip_derived_cl6,zip_derived_cl343,zip_derived_cl27,zip_derived_cl6,zip_derived_cl112,zip_derived_cl221]) ).
thf(zip_derived_cl13610,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n15 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl12434]) ).
thf('217',plain,
( ( sk_ != n4 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13610]) ).
thf(zip_derived_cl721_1983,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13325_1984,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl8452]) ).
thf(zip_derived_cl13448,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n0 ) @ ( sum @ n19 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl13325]) ).
thf(zip_derived_cl27_1985,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107_1986,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_1987,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_1988,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_1989,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_1990,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl231_1991,plain,
( ( sum @ n8 @ n19 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13490,plain,
( ( ( sum @ n3 @ ( sum @ n19 @ n5 ) )
!= n6 )
<= ( ( sk__1 = n20 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13448,zip_derived_cl27,zip_derived_cl107,zip_derived_cl6,zip_derived_cl27,zip_derived_cl6,zip_derived_cl112,zip_derived_cl231]) ).
thf(zip_derived_cl448,plain,
( ( sum @ n19 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_1992,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13594,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n20 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13490,zip_derived_cl448,zip_derived_cl110]) ).
thf('218',plain,
( ( sk_ != n4 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13594]) ).
thf(zip_derived_cl721_1993,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13271_1994,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl8276]) ).
thf(zip_derived_cl13330,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl13271]) ).
thf(zip_derived_cl27_1995,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127_1996,plain,
( ( sum @ n3 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_1997,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl427_1998,plain,
( ( sum @ n18 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_1999,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_2000,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2001,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_2002,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl229_2003,plain,
( ( sum @ n8 @ n17 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13374,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n19 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13330,zip_derived_cl27,zip_derived_cl127,zip_derived_cl6,zip_derived_cl427,zip_derived_cl88,zip_derived_cl27,zip_derived_cl6,zip_derived_cl112,zip_derived_cl229]) ).
thf('219',plain,
( ( sk_ != n4 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13374]) ).
thf(zip_derived_cl440_2004,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721_2005,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12162_2006,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl7123]) ).
thf(zip_derived_cl12187,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl12162]) ).
thf(zip_derived_cl27_2007,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122_2008,plain,
( ( sum @ n3 @ n15 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2009,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322,plain,
( ( sum @ n13 @ n5 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_2010,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2011,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_2012,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219_2013,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12229,plain,
( ( ( sum @ n18 @ n18 )
!= n15 )
<= ( ( sk__1 = n14 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12187,zip_derived_cl27,zip_derived_cl122,zip_derived_cl6,zip_derived_cl322,zip_derived_cl27,zip_derived_cl6,zip_derived_cl112,zip_derived_cl219]) ).
thf(zip_derived_cl13246,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n14 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl12229]) ).
thf('220',plain,
( ( sk_ != n4 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13246]) ).
thf(zip_derived_cl721_2014,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13022_2015,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl8098]) ).
thf(zip_derived_cl13076,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl13022]) ).
thf(zip_derived_cl27_2016,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126_2017,plain,
( ( sum @ n3 @ n19 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2018,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl406_2019,plain,
( ( sum @ n17 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_2020,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_2021,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2022,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_2023,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227_2024,plain,
( ( sum @ n8 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13119,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n18 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13076,zip_derived_cl27,zip_derived_cl126,zip_derived_cl6,zip_derived_cl406,zip_derived_cl66,zip_derived_cl27,zip_derived_cl6,zip_derived_cl112,zip_derived_cl227]) ).
thf('221',plain,
( ( sk_ != n4 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13119]) ).
thf(zip_derived_cl418_2025,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721_2026,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11986_2027,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6856]) ).
thf(zip_derived_cl12006,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl11986]) ).
thf(zip_derived_cl27_2028,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121_2029,plain,
( ( sum @ n3 @ n14 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2030,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl301,plain,
( ( sum @ n12 @ n5 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_2031,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2032,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_2033,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl217_2034,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12048,plain,
( ( ( sum @ n17 @ n17 )
!= n13 )
<= ( ( sk__1 = n13 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12006,zip_derived_cl27,zip_derived_cl121,zip_derived_cl6,zip_derived_cl301,zip_derived_cl27,zip_derived_cl6,zip_derived_cl112,zip_derived_cl217]) ).
thf(zip_derived_cl12997,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n13 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl12048]) ).
thf('222',plain,
( ( sk_ != n4 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12997]) ).
thf(zip_derived_cl396_2035,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721_2036,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11809_2037,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl6589]) ).
thf(zip_derived_cl11825,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl11809]) ).
thf(zip_derived_cl27_2038,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120_2039,plain,
( ( sum @ n3 @ n13 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2040,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280_2041,plain,
( ( sum @ n11 @ n5 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_2042,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2043,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_2044,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl215_2045,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11867,plain,
( ( ( sum @ n16 @ n16 )
!= n11 )
<= ( ( sk__1 = n12 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11825,zip_derived_cl27,zip_derived_cl120,zip_derived_cl6,zip_derived_cl280,zip_derived_cl27,zip_derived_cl6,zip_derived_cl112,zip_derived_cl215]) ).
thf(zip_derived_cl12775,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n12 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl11867]) ).
thf('223',plain,
( ( sk_ != n4 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12775]) ).
thf(zip_derived_cl374_2046,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721_2047,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11633_2048,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6321]) ).
thf(zip_derived_cl11646,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl11633]) ).
thf(zip_derived_cl27_2049,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119_2050,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2051,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl259,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_2052,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2053,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_2054,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl213_2055,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11688,plain,
( ( ( sum @ n15 @ n15 )
!= n9 )
<= ( ( sk__1 = n11 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11646,zip_derived_cl27,zip_derived_cl119,zip_derived_cl6,zip_derived_cl259,zip_derived_cl27,zip_derived_cl6,zip_derived_cl112,zip_derived_cl213]) ).
thf(zip_derived_cl12551,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n11 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl11688]) ).
thf('224',plain,
( ( sk__1 != n11 )
| ( sk_ != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12551]) ).
thf(zip_derived_cl352_2056,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721_2057,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11489_2058,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl6054]) ).
thf(zip_derived_cl11494,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl11489]) ).
thf(zip_derived_cl27_2059,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118_2060,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2061,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl238,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_2062,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2063,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_2064,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232_2065,plain,
( ( sum @ n8 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11536,plain,
( ( ( sum @ n14 @ n14 )
!= n7 )
<= ( ( sk__1 = n10 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11494,zip_derived_cl27,zip_derived_cl118,zip_derived_cl6,zip_derived_cl238,zip_derived_cl27,zip_derived_cl6,zip_derived_cl112,zip_derived_cl232]) ).
thf(zip_derived_cl12341,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n10 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl11536]) ).
thf('225',plain,
( ( sk_ != n4 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12341]) ).
thf(zip_derived_cl330_2066,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721_2067,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11335_2068,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl5787]) ).
thf(zip_derived_cl11344,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl11335]) ).
thf(zip_derived_cl27_2069,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117_2070,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2071,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl217_2072,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_2073,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2074,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_2075,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11386,plain,
( ( ( sum @ n13 @ n13 )
!= ( sum @ n8 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11344,zip_derived_cl27,zip_derived_cl117,zip_derived_cl6,zip_derived_cl217,zip_derived_cl27,zip_derived_cl6,zip_derived_cl112]) ).
thf(zip_derived_cl230_2076,plain,
( ( sum @ n8 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11478,plain,
( ( ( sum @ n13 @ n13 )
!= n5 )
<= ( ( sk__1 = n9 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11386,zip_derived_cl230]) ).
thf(zip_derived_cl12145,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n9 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl11478]) ).
thf('226',plain,
( ( sk_ != n4 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12145]) ).
thf(zip_derived_cl308_2077,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721_2078,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11156_2079,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl5520]) ).
thf(zip_derived_cl11165,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl11156]) ).
thf(zip_derived_cl27_2080,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116_2081,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2082,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl196,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_2083,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2084,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_2085,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11207,plain,
( ( ( sum @ n12 @ n12 )
!= ( sum @ n8 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11165,zip_derived_cl27,zip_derived_cl116,zip_derived_cl6,zip_derived_cl196,zip_derived_cl27,zip_derived_cl6,zip_derived_cl112]) ).
thf(zip_derived_cl228_2086,plain,
( ( sum @ n8 @ n16 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11476,plain,
( ( ( sum @ n12 @ n12 )
!= n3 )
<= ( ( sk__1 = n8 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11207,zip_derived_cl228]) ).
thf(zip_derived_cl11972,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n8 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl11476]) ).
thf('227',plain,
( ( sk_ != n4 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11972]) ).
thf(zip_derived_cl286_2087,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721_2088,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10971_2089,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl5250]) ).
thf(zip_derived_cl10982,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl10971]) ).
thf(zip_derived_cl27_2090,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115_2091,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2092,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl175,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_2093,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2094,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_2095,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11024,plain,
( ( ( sum @ n11 @ n11 )
!= ( sum @ n8 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10982,zip_derived_cl27,zip_derived_cl115,zip_derived_cl6,zip_derived_cl175,zip_derived_cl27,zip_derived_cl6,zip_derived_cl112]) ).
thf(zip_derived_cl226_2096,plain,
( ( sum @ n8 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11473,plain,
( ( ( sum @ n11 @ n11 )
!= n1 )
<= ( ( sk__1 = n7 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11024,zip_derived_cl226]) ).
thf(zip_derived_cl11797,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n7 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl286,zip_derived_cl11473]) ).
thf('228',plain,
( ( sk_ != n4 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11797]) ).
thf(zip_derived_cl721_2097,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9494_2098,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl4167]) ).
thf(zip_derived_cl9499,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl9494]) ).
thf(zip_derived_cl27_2099,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2100,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_2101,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2102,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9542,plain,
( ( ( sum @ ( sum @ n3 @ n4 ) @ ( sum @ n2 @ n5 ) )
!= ( sum @ ( sum @ n3 @ n5 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9499,zip_derived_cl27,zip_derived_cl6,zip_derived_cl27,zip_derived_cl6]) ).
thf(zip_derived_cl111_2103,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_2104,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_2105,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_2106,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_2107,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11771,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n3 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9542,zip_derived_cl111,zip_derived_cl91,zip_derived_cl198,zip_derived_cl112,zip_derived_cl218]) ).
thf('229',plain,
( ( sk__1 != n3 )
| ( sk_ != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11771]) ).
thf(zip_derived_cl242_2108,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721_2109,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10396_2110,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl4709]) ).
thf(zip_derived_cl10403,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl10396]) ).
thf(zip_derived_cl27_2111,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113_2112,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2113,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl133,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_2114,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2115,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_2116,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10445,plain,
( ( ( sum @ n9 @ n9 )
!= ( sum @ n8 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10403,zip_derived_cl27,zip_derived_cl113,zip_derived_cl6,zip_derived_cl133,zip_derived_cl27,zip_derived_cl6,zip_derived_cl112]) ).
thf(zip_derived_cl11480,plain,
( ( n18
!= ( sum @ n8 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl10445]) ).
thf(zip_derived_cl222_2117,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11484,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n5 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11480,zip_derived_cl222]) ).
thf('230',plain,
( ( sk_ != n4 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11484]) ).
thf(zip_derived_cl700_2118,plain,
( ( sk__1 = n4 )
<= ( sk__1 = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1047_2119,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n5 ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ n5 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl1041,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl1588,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ ( sum @ ( pred @ n4 ) @ n5 ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ n5 ) @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl700,zip_derived_cl1047]) ).
thf(zip_derived_cl6_2120,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2121,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1633,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n5 ) @ ( sum @ ( pred @ n4 ) @ n5 ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ n5 ) @ ( sum @ ( pred @ n4 ) @ n5 ) ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1588,zip_derived_cl6,zip_derived_cl6]) ).
thf('231',plain,
( ( sk_ != n4 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1633]) ).
thf(zip_derived_cl484_2122,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_2123,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_2124,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10396_2125,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl4709]) ).
thf(zip_derived_cl10414,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl10396]) ).
thf(zip_derived_cl38_2126,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_2127,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_2128,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_2129,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10457,plain,
( ( ( sum @ ( sum @ n14 @ n6 ) @ ( sum @ n4 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10414,zip_derived_cl38,zip_derived_cl17,zip_derived_cl38,zip_derived_cl17]) ).
thf(zip_derived_cl144,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11969,plain,
( ( ( sum @ ( sum @ n14 @ n6 ) @ n20 )
!= ( sum @ ( sum @ n14 @ n16 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10457,zip_derived_cl144]) ).
thf(zip_derived_cl12364,plain,
( ( ( sum @ ( sum @ n14 @ n6 ) @ n20 )
!= ( sum @ n9 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl11969]) ).
thf(zip_derived_cl344,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_2130,plain,
( ( sum @ n9 @ n10 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12375,plain,
( ( ( sum @ n20 @ n20 )
!= n19 )
<= ( ( sk__1 = n5 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12364,zip_derived_cl344,zip_derived_cl243]) ).
thf(zip_derived_cl13922,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n5 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl12375]) ).
thf('232',plain,
( ( sk__1 != n5 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13922]) ).
thf(zip_derived_cl474_2131,plain,
( ( sum @ n20 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_2132,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10396_2133,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl4709]) ).
thf(zip_derived_cl10409,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl10396]) ).
thf(zip_derived_cl33_2134,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_2135,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_2136,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_2137,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10452,plain,
( ( ( sum @ ( sum @ n9 @ n6 ) @ ( sum @ n4 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10409,zip_derived_cl33,zip_derived_cl12,zip_derived_cl33,zip_derived_cl12]) ).
thf(zip_derived_cl239,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139_2138,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_2139,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11964,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ n20 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10452,zip_derived_cl239,zip_derived_cl139,zip_derived_cl244]) ).
thf(zip_derived_cl13810,plain,
( ( ( sum @ n15 @ n15 )
!= n9 )
<= ( ( sk__1 = n5 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl11964]) ).
thf(zip_derived_cl374_2140,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13813,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n5 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13810,zip_derived_cl374]) ).
thf('233',plain,
( ( sk__1 != n5 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13813]) ).
thf(zip_derived_cl470_2141,plain,
( ( sum @ n20 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_2142,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10396_2143,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl4709]) ).
thf(zip_derived_cl10399,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl10396]) ).
thf(zip_derived_cl23_2144,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2145,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl129_2146,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_2147,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2148,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10441,plain,
( ( ( sum @ ( sum @ n20 @ n6 ) @ n5 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10399,zip_derived_cl23,zip_derived_cl2,zip_derived_cl129,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl13767,plain,
( ( ( sum @ n5 @ n5 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl10441]) ).
thf(zip_derived_cl154_2149,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_2150,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2151,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13769,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n5 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13767,zip_derived_cl154,zip_derived_cl465,zip_derived_cl54]) ).
thf('234',plain,
( ( sk__1 != n5 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13769]) ).
thf(zip_derived_cl462_2152,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_2153,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731_2154,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10396_2155,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl4709]) ).
thf(zip_derived_cl10413,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl10396]) ).
thf(zip_derived_cl37_2156,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_2157,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_2158,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_2159,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10456,plain,
( ( ( sum @ ( sum @ n13 @ n6 ) @ ( sum @ n4 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10413,zip_derived_cl37,zip_derived_cl16,zip_derived_cl37,zip_derived_cl16]) ).
thf(zip_derived_cl143,plain,
( ( sum @ n4 @ n15 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11968,plain,
( ( ( sum @ ( sum @ n13 @ n6 ) @ n19 )
!= ( sum @ ( sum @ n13 @ n15 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10456,zip_derived_cl143]) ).
thf(zip_derived_cl12167,plain,
( ( ( sum @ ( sum @ n13 @ n6 ) @ n19 )
!= ( sum @ n7 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl11968]) ).
thf(zip_derived_cl323,plain,
( ( sum @ n13 @ n6 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl201_2160,plain,
( ( sum @ n7 @ n10 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12176,plain,
( ( ( sum @ n19 @ n19 )
!= n17 )
<= ( ( sk__1 = n5 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12167,zip_derived_cl323,zip_derived_cl201]) ).
thf(zip_derived_cl13606,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n5 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl12176]) ).
thf('235',plain,
( ( sk__1 != n5 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13606]) ).
thf(zip_derived_cl449,plain,
( ( sum @ n19 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_2161,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10396_2162,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl4709]) ).
thf(zip_derived_cl10419,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl10396]) ).
thf(zip_derived_cl43_2163,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_2164,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_2165,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_2166,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_2167,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10462,plain,
( ( ( sum @ ( sum @ n19 @ n6 ) @ n4 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10419,zip_derived_cl43,zip_derived_cl22,zip_derived_cl128,zip_derived_cl43,zip_derived_cl22]) ).
thf(zip_derived_cl13539,plain,
( ( ( sum @ n4 @ n4 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl10462]) ).
thf(zip_derived_cl132_2168,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_2169,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13540,plain,
( ( n8
!= ( sum @ n19 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13539,zip_derived_cl132,zip_derived_cl443]) ).
thf(zip_derived_cl453_2170,plain,
( ( sum @ n19 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13569,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n5 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13540,zip_derived_cl453]) ).
thf('236',plain,
( ( sk__1 != n5 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13569]) ).
thf(zip_derived_cl440_2171,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_2172,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730_2173,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10396_2174,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl4709]) ).
thf(zip_derived_cl10412,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl10396]) ).
thf(zip_derived_cl36_2175,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_2176,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_2177,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_2178,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10455,plain,
( ( ( sum @ ( sum @ n12 @ n6 ) @ ( sum @ n4 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10412,zip_derived_cl36,zip_derived_cl15,zip_derived_cl36,zip_derived_cl15]) ).
thf(zip_derived_cl302,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11967,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ ( sum @ n12 @ n14 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10455,zip_derived_cl302,zip_derived_cl142]) ).
thf(zip_derived_cl11993,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ n5 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl11967]) ).
thf(zip_derived_cl159_2179,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12001,plain,
( ( ( sum @ n18 @ n18 )
!= n15 )
<= ( ( sk__1 = n5 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11993,zip_derived_cl159]) ).
thf(zip_derived_cl13241,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n5 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl12001]) ).
thf('237',plain,
( ( sk__1 != n5 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13241]) ).
thf(zip_derived_cl398_2180,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_2181,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10396_2182,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl4709]) ).
thf(zip_derived_cl10416,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl10396]) ).
thf(zip_derived_cl40_2183,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_2184,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_2185,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_2186,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10459,plain,
( ( ( sum @ ( sum @ n16 @ n6 ) @ ( sum @ n4 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10416,zip_derived_cl40,zip_derived_cl19,zip_derived_cl40,zip_derived_cl19]) ).
thf(zip_derived_cl146_2187,plain,
( ( sum @ n4 @ n18 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11984,plain,
( ( ( sum @ ( sum @ n16 @ n6 ) @ n1 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10459,zip_derived_cl146]) ).
thf(zip_derived_cl12803,plain,
( ( ( sum @ ( sum @ n16 @ n6 ) @ n1 )
!= ( sum @ n13 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl11984]) ).
thf(zip_derived_cl386_2188,plain,
( ( sum @ n16 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_2189,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl327_2190,plain,
( ( sum @ n13 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12820,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n5 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12803,zip_derived_cl386,zip_derived_cl66,zip_derived_cl327]) ).
thf('238',plain,
( ( sk__1 != n5 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12820]) ).
thf(zip_derived_cl396_2191,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728_2192,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10396_2193,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl4709]) ).
thf(zip_derived_cl10410,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl10396]) ).
thf(zip_derived_cl34_2194,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2195,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2196,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2197,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10453,plain,
( ( ( sum @ ( sum @ n10 @ n6 ) @ ( sum @ n4 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10410,zip_derived_cl34,zip_derived_cl13,zip_derived_cl34,zip_derived_cl13]) ).
thf(zip_derived_cl260,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140_2198,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_2199,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_2200,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11965,plain,
( ( ( sum @ n16 @ n16 )
!= n11 )
<= ( ( sk__1 = n5 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10453,zip_derived_cl260,zip_derived_cl140,zip_derived_cl266,zip_derived_cl75]) ).
thf(zip_derived_cl12777,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n5 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl11965]) ).
thf('239',plain,
( ( sk__1 != n5 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12777]) ).
thf(zip_derived_cl390_2201,plain,
( ( sum @ n16 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725_2202,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10396_2203,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl4709]) ).
thf(zip_derived_cl10407,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl10396]) ).
thf(zip_derived_cl31_2204,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_2205,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_2206,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_2207,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10450,plain,
( ( ( sum @ ( sum @ n7 @ n6 ) @ ( sum @ n4 @ n9 ) )
!= ( sum @ ( sum @ n7 @ n9 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10407,zip_derived_cl31,zip_derived_cl10,zip_derived_cl31,zip_derived_cl10]) ).
thf(zip_derived_cl197,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_2208,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11962,plain,
( ( ( sum @ n13 @ n13 )
!= ( sum @ n16 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10450,zip_derived_cl197,zip_derived_cl137,zip_derived_cl200]) ).
thf(zip_derived_cl12729,plain,
( ( ( sum @ n13 @ n13 )
!= n5 )
<= ( ( sk__1 = n5 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl390,zip_derived_cl11962]) ).
thf(zip_derived_cl330_2209,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12730,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n5 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12729,zip_derived_cl330]) ).
thf('240',plain,
( ( sk__1 != n5 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12730]) ).
thf(zip_derived_cl348_2210,plain,
( ( sum @ n14 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724_2211,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10396_2212,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl4709]) ).
thf(zip_derived_cl10406,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl10396]) ).
thf(zip_derived_cl30_2213,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2214,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2215,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2216,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10449,plain,
( ( ( sum @ ( sum @ n6 @ n6 ) @ ( sum @ n4 @ n8 ) )
!= ( sum @ ( sum @ n6 @ n8 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10406,zip_derived_cl30,zip_derived_cl9,zip_derived_cl30,zip_derived_cl9]) ).
thf(zip_derived_cl176_2217,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_2218,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11959,plain,
( ( ( sum @ n12 @ n12 )
!= ( sum @ n14 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10449,zip_derived_cl176,zip_derived_cl136,zip_derived_cl178]) ).
thf(zip_derived_cl12311,plain,
( ( ( sum @ n12 @ n12 )
!= n3 )
<= ( ( sk__1 = n5 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl11959]) ).
thf(zip_derived_cl308_2219,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12313,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n5 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12311,zip_derived_cl308]) ).
thf('241',plain,
( ( sk__1 != n5 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12313]) ).
thf(zip_derived_cl306_2220,plain,
( ( sum @ n12 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723_2221,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10396_2222,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl4709]) ).
thf(zip_derived_cl10405,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl10396]) ).
thf(zip_derived_cl29_2223,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2224,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_2225,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2226,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10448,plain,
( ( ( sum @ ( sum @ n5 @ n6 ) @ ( sum @ n4 @ n7 ) )
!= ( sum @ ( sum @ n5 @ n7 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10405,zip_derived_cl29,zip_derived_cl8,zip_derived_cl29,zip_derived_cl8]) ).
thf(zip_derived_cl155_2227,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_2228,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_2229,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_2230,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11958,plain,
( ( n1
!= ( sum @ n12 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10448,zip_derived_cl155,zip_derived_cl135,zip_derived_cl286,zip_derived_cl156]) ).
thf(zip_derived_cl11960,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n5 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl11958]) ).
thf('242',plain,
( ( sk__1 != n5 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11960]) ).
thf(zip_derived_cl220_2231,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720_2232,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10396_2233,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl4709]) ).
thf(zip_derived_cl10402,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl10396]) ).
thf(zip_derived_cl26_2234,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_2235,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2236,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_2237,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_2238,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2239,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_2240,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10444,plain,
( ( ( sum @ n8 @ n8 )
!= ( sum @ n6 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10402,zip_derived_cl26,zip_derived_cl92,zip_derived_cl5,zip_derived_cl132,zip_derived_cl26,zip_derived_cl5,zip_derived_cl90]) ).
thf(zip_derived_cl180_2241,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11151,plain,
( ( ( sum @ n8 @ n8 )
!= n16 )
<= ( ( sk__1 = n5 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10444,zip_derived_cl180]) ).
thf(zip_derived_cl11325,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n5 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl220,zip_derived_cl11151]) ).
thf('243',plain,
( ( sk__1 != n5 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11325]) ).
thf(zip_derived_cl198_2242,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_2243,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10396_2244,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl4709]) ).
thf(zip_derived_cl10401,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl10396]) ).
thf(zip_derived_cl25_2245,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_2246,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2247,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl131_2248,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_2249,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2250,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_2251,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10443,plain,
( ( ( sum @ n7 @ n7 )
!= ( sum @ n4 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10401,zip_derived_cl25,zip_derived_cl71,zip_derived_cl4,zip_derived_cl131,zip_derived_cl25,zip_derived_cl4,zip_derived_cl68]) ).
thf(zip_derived_cl138_2252,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11139,plain,
( ( ( sum @ n7 @ n7 )
!= n14 )
<= ( ( sk__1 = n5 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10443,zip_derived_cl138]) ).
thf(zip_derived_cl11146,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n5 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl198,zip_derived_cl11139]) ).
thf('244',plain,
( ( sk__1 != n5 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11146]) ).
thf(zip_derived_cl722_2253,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl2041_2254,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ ( pred @ n5 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n5 ) @ n6 ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl759,zip_derived_cl7,zip_derived_cl7]) ).
thf(zip_derived_cl2047,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n6 ) @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ ( sum @ ( pred @ n5 ) @ n6 ) ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl2041]) ).
thf(zip_derived_cl7_2255,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_2256,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2089,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n6 ) @ ( sum @ ( pred @ n5 ) @ n6 ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ n6 ) @ ( sum @ ( pred @ n5 ) @ n6 ) ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2047,zip_derived_cl7,zip_derived_cl7]) ).
thf('245',plain,
( ( sk__1 != n5 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2089]) ).
thf(zip_derived_cl484_2257,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723_2258,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12162_2259,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl7123]) ).
thf(zip_derived_cl12189,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl12162]) ).
thf(zip_derived_cl29_2260,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_2261,plain,
( ( sum @ n5 @ n15 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2262,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_2263,plain,
( ( sum @ n13 @ n7 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_2264,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2265,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_2266,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl303_2267,plain,
( ( sum @ n12 @ n7 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12231,plain,
( ( ( sum @ n20 @ n20 )
!= n19 )
<= ( ( sk__1 = n14 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12189,zip_derived_cl29,zip_derived_cl164,zip_derived_cl8,zip_derived_cl324,zip_derived_cl29,zip_derived_cl8,zip_derived_cl156,zip_derived_cl303]) ).
thf(zip_derived_cl13919,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n14 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl12231]) ).
thf('246',plain,
( ( sk_ != n6 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13919]) ).
thf(zip_derived_cl462_2268,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723_2269,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11986_2270,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6856]) ).
thf(zip_derived_cl12008,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl11986]) ).
thf(zip_derived_cl29_2271,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl163_2272,plain,
( ( sum @ n5 @ n14 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2273,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl303_2274,plain,
( ( sum @ n12 @ n7 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_2275,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2276,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_2277,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl301_2278,plain,
( ( sum @ n12 @ n5 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12050,plain,
( ( ( sum @ n19 @ n19 )
!= n17 )
<= ( ( sk__1 = n13 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12008,zip_derived_cl29,zip_derived_cl163,zip_derived_cl8,zip_derived_cl303,zip_derived_cl29,zip_derived_cl8,zip_derived_cl156,zip_derived_cl301]) ).
thf(zip_derived_cl13603,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n13 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl12050]) ).
thf('247',plain,
( ( sk_ != n6 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13603]) ).
thf(zip_derived_cl723_2279,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13325_2280,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl8452]) ).
thf(zip_derived_cl13450,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n0 ) @ ( sum @ n19 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl13325]) ).
thf(zip_derived_cl29_2281,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149_2282,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2283,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_2284,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2285,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_2286,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl315_2287,plain,
( ( sum @ n12 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13492,plain,
( ( ( sum @ n5 @ ( sum @ n19 @ n7 ) )
!= n10 )
<= ( ( sk__1 = n20 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13450,zip_derived_cl29,zip_derived_cl149,zip_derived_cl8,zip_derived_cl29,zip_derived_cl8,zip_derived_cl156,zip_derived_cl315]) ).
thf(zip_derived_cl450_2288,plain,
( ( sum @ n19 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_2289,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13598,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n20 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13492,zip_derived_cl450,zip_derived_cl154]) ).
thf('248',plain,
( ( sk_ != n6 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13598]) ).
thf(zip_derived_cl723_2290,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13271_2291,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl8276]) ).
thf(zip_derived_cl13332,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl13271]) ).
thf(zip_derived_cl29_2292,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl169_2293,plain,
( ( sum @ n5 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2294,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl429_2295,plain,
( ( sum @ n18 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_2296,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_2297,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2298,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_2299,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl313_2300,plain,
( ( sum @ n12 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13378,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n19 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13332,zip_derived_cl29,zip_derived_cl169,zip_derived_cl8,zip_derived_cl429,zip_derived_cl132,zip_derived_cl29,zip_derived_cl8,zip_derived_cl156,zip_derived_cl313]) ).
thf('249',plain,
( ( sk_ != n6 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13378]) ).
thf(zip_derived_cl440_2301,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723_2302,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11809_2303,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl6589]) ).
thf(zip_derived_cl11827,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl11809]) ).
thf(zip_derived_cl29_2304,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_2305,plain,
( ( sum @ n5 @ n13 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2306,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282_2307,plain,
( ( sum @ n11 @ n7 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_2308,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2309,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_2310,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11869,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ n12 @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11827,zip_derived_cl29,zip_derived_cl162,zip_derived_cl8,zip_derived_cl282,zip_derived_cl29,zip_derived_cl8,zip_derived_cl156]) ).
thf(zip_derived_cl13240,plain,
( ( n15
!= ( sum @ n12 @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl11869]) ).
thf(zip_derived_cl299_2311,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13257,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n12 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13240,zip_derived_cl299]) ).
thf('250',plain,
( ( sk_ != n6 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13257]) ).
thf(zip_derived_cl723_2312,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13022_2313,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl8098]) ).
thf(zip_derived_cl13078,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl13022]) ).
thf(zip_derived_cl29_2314,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168_2315,plain,
( ( sum @ n5 @ n19 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2316,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl408_2317,plain,
( ( sum @ n17 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_2318,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_2319,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2320,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_2321,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl311,plain,
( ( sum @ n12 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13123,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n18 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13078,zip_derived_cl29,zip_derived_cl168,zip_derived_cl8,zip_derived_cl408,zip_derived_cl110,zip_derived_cl29,zip_derived_cl8,zip_derived_cl156,zip_derived_cl311]) ).
thf('251',plain,
( ( sk_ != n6 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13123]) ).
thf(zip_derived_cl418_2322,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723_2323,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11633_2324,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6321]) ).
thf(zip_derived_cl11648,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl11633]) ).
thf(zip_derived_cl29_2325,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl161_2326,plain,
( ( sum @ n5 @ n12 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2327,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl261_2328,plain,
( ( sum @ n10 @ n7 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_2329,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2330,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_2331,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11690,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ n12 @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11648,zip_derived_cl29,zip_derived_cl161,zip_derived_cl8,zip_derived_cl261,zip_derived_cl29,zip_derived_cl8,zip_derived_cl156]) ).
thf(zip_derived_cl12993,plain,
( ( n13
!= ( sum @ n12 @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl11690]) ).
thf(zip_derived_cl297_2332,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13009,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n11 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12993,zip_derived_cl297]) ).
thf('252',plain,
( ( sk__1 != n11 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13009]) ).
thf(zip_derived_cl396_2333,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723_2334,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11489_2335,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl6054]) ).
thf(zip_derived_cl11496,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl11489]) ).
thf(zip_derived_cl29_2336,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_2337,plain,
( ( sum @ n5 @ n11 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2338,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl240_2339,plain,
( ( sum @ n9 @ n7 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_2340,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2341,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_2342,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11538,plain,
( ( ( sum @ n16 @ n16 )
!= ( sum @ n12 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11496,zip_derived_cl29,zip_derived_cl160,zip_derived_cl8,zip_derived_cl240,zip_derived_cl29,zip_derived_cl8,zip_derived_cl156]) ).
thf(zip_derived_cl12773,plain,
( ( n11
!= ( sum @ n12 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl11538]) ).
thf(zip_derived_cl316_2343,plain,
( ( sum @ n12 @ n20 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12786,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n10 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12773,zip_derived_cl316]) ).
thf('253',plain,
( ( sk_ != n6 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12786]) ).
thf(zip_derived_cl374_2344,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723_2345,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11335_2346,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl5787]) ).
thf(zip_derived_cl11346,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl11335]) ).
thf(zip_derived_cl29_2347,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl159_2348,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2349,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219_2350,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_2351,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2352,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_2353,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11388,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ n12 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11346,zip_derived_cl29,zip_derived_cl159,zip_derived_cl8,zip_derived_cl219,zip_derived_cl29,zip_derived_cl8,zip_derived_cl156]) ).
thf(zip_derived_cl12549,plain,
( ( n9
!= ( sum @ n12 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl11388]) ).
thf(zip_derived_cl314_2354,plain,
( ( sum @ n12 @ n18 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12561,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n9 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12549,zip_derived_cl314]) ).
thf('254',plain,
( ( sk_ != n6 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12561]) ).
thf(zip_derived_cl723_2355,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12359_2356,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl7390]) ).
thf(zip_derived_cl12394,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl12359]) ).
thf(zip_derived_cl29_2357,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl165_2358,plain,
( ( sum @ n5 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2359,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl345_2360,plain,
( ( sum @ n14 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_2361,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_2362,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2363,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_2364,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl305,plain,
( ( sum @ n12 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12436,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n15 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12394,zip_derived_cl29,zip_derived_cl165,zip_derived_cl8,zip_derived_cl345,zip_derived_cl44,zip_derived_cl29,zip_derived_cl8,zip_derived_cl156,zip_derived_cl305]) ).
thf('255',plain,
( ( sk_ != n6 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12436]) ).
thf(zip_derived_cl352_2365,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723_2366,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11156_2367,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl5520]) ).
thf(zip_derived_cl11167,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl11156]) ).
thf(zip_derived_cl29_2368,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158_2369,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2370,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_2371,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_2372,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2373,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_2374,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11209,plain,
( ( ( sum @ n14 @ n14 )
!= ( sum @ n12 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11167,zip_derived_cl29,zip_derived_cl158,zip_derived_cl8,zip_derived_cl198,zip_derived_cl29,zip_derived_cl8,zip_derived_cl156]) ).
thf(zip_derived_cl12339,plain,
( ( n7
!= ( sum @ n12 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl11209]) ).
thf(zip_derived_cl312,plain,
( ( sum @ n12 @ n16 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12348,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n8 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12339,zip_derived_cl312]) ).
thf('256',plain,
( ( sk_ != n6 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12348]) ).
thf(zip_derived_cl330_2375,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723_2376,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10971_2377,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl5250]) ).
thf(zip_derived_cl10984,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl10971]) ).
thf(zip_derived_cl29_2378,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl157_2379,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2380,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl177_2381,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_2382,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2383,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_2384,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11026,plain,
( ( ( sum @ n13 @ n13 )
!= ( sum @ n12 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10984,zip_derived_cl29,zip_derived_cl157,zip_derived_cl8,zip_derived_cl177,zip_derived_cl29,zip_derived_cl8,zip_derived_cl156]) ).
thf(zip_derived_cl12143,plain,
( ( n5
!= ( sum @ n12 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl11026]) ).
thf(zip_derived_cl310_2385,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12151,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n7 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12143,zip_derived_cl310]) ).
thf('257',plain,
( ( sk_ != n6 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12151]) ).
thf(zip_derived_cl304,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723_2386,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9908_2387,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4440]) ).
thf(zip_derived_cl9915,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl9908]) ).
thf(zip_derived_cl29_2388,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2389,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_2390,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2391,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9958,plain,
( ( ( sum @ ( sum @ n5 @ n5 ) @ ( sum @ n3 @ n7 ) )
!= ( sum @ ( sum @ n5 @ n7 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9915,zip_derived_cl29,zip_derived_cl8,zip_derived_cl29,zip_derived_cl8]) ).
thf(zip_derived_cl154_2392,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114_2393,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_2394,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_2395,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11922,plain,
( ( n20
!= ( sum @ n12 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9958,zip_derived_cl154,zip_derived_cl114,zip_derived_cl264,zip_derived_cl156]) ).
thf(zip_derived_cl11950,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n4 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl11922]) ).
thf('258',plain,
( ( sk_ != n6 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11950]) ).
thf(zip_derived_cl302_2396,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723_2397,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9494_2398,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl4167]) ).
thf(zip_derived_cl9501,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl9494]) ).
thf(zip_derived_cl29_2399,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2400,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_2401,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2402,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9544,plain,
( ( ( sum @ ( sum @ n5 @ n4 ) @ ( sum @ n2 @ n7 ) )
!= ( sum @ ( sum @ n5 @ n7 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9501,zip_derived_cl29,zip_derived_cl8,zip_derived_cl29,zip_derived_cl8]) ).
thf(zip_derived_cl153_2403,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_2404,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_2405,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_2406,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11775,plain,
( ( n18
!= ( sum @ n12 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9544,zip_derived_cl153,zip_derived_cl93,zip_derived_cl242,zip_derived_cl156]) ).
thf(zip_derived_cl11940,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n3 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl11775]) ).
thf('259',plain,
( ( sk__1 != n3 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11940]) ).
thf(zip_derived_cl482_2407,plain,
( ( sum @ n20 @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_2408,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11335_2409,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl5787]) ).
thf(zip_derived_cl11350,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl11335]) ).
thf(zip_derived_cl33_2410,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_2411,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl223_2412,plain,
( ( sum @ n8 @ n11 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_2413,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_2414,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11393,plain,
( ( ( sum @ ( sum @ n9 @ n10 ) @ n19 )
!= ( sum @ ( sum @ n9 @ n11 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11350,zip_derived_cl33,zip_derived_cl12,zip_derived_cl223,zip_derived_cl33,zip_derived_cl12]) ).
thf(zip_derived_cl243_2415,plain,
( ( sum @ n9 @ n10 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_2416,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11582,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ n20 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11393,zip_derived_cl243,zip_derived_cl244]) ).
thf(zip_derived_cl13893,plain,
( ( ( sum @ n19 @ n19 )
!= n17 )
<= ( ( sk__1 = n9 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl11582]) ).
thf(zip_derived_cl462_2417,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13895,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n9 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13893,zip_derived_cl462]) ).
thf('260',plain,
( ( sk__1 != n9 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13895]) ).
thf(zip_derived_cl474_2418,plain,
( ( sum @ n20 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_2419,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11335_2420,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl5787]) ).
thf(zip_derived_cl11340,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl11335]) ).
thf(zip_derived_cl23_2421,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2422,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl213_2423,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_2424,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2425,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11382,plain,
( ( ( sum @ ( sum @ n20 @ n10 ) @ n9 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11340,zip_derived_cl23,zip_derived_cl2,zip_derived_cl213,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl13809,plain,
( ( ( sum @ n9 @ n9 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl11382]) ).
thf(zip_derived_cl242_2426,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_2427,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_2428,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13811,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n9 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13809,zip_derived_cl242,zip_derived_cl465,zip_derived_cl62]) ).
thf('261',plain,
( ( sk__1 != n9 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13811]) ).
thf(zip_derived_cl461_2429,plain,
( ( sum @ n19 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl453_2430,plain,
( ( sum @ n19 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_2431,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11335_2432,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl5787]) ).
thf(zip_derived_cl11360,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl11335]) ).
thf(zip_derived_cl43_2433,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_2434,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212_2435,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_2436,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_2437,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11403,plain,
( ( ( sum @ ( sum @ n19 @ n10 ) @ n8 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11360,zip_derived_cl43,zip_derived_cl22,zip_derived_cl212,zip_derived_cl43,zip_derived_cl22]) ).
thf(zip_derived_cl13547,plain,
( ( ( sum @ n8 @ n8 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl11403]) ).
thf(zip_derived_cl220_2438,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_2439,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13548,plain,
( ( n16
!= ( sum @ n19 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13547,zip_derived_cl220,zip_derived_cl443]) ).
thf(zip_derived_cl13590,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n9 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl13548]) ).
thf('262',plain,
( ( sk__1 != n9 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13590]) ).
thf(zip_derived_cl418_2440,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725_2441,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11335_2442,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl5787]) ).
thf(zip_derived_cl11348,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl11335]) ).
thf(zip_derived_cl31_2443,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl201_2444,plain,
( ( sum @ n7 @ n10 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_2445,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221_2446,plain,
( ( sum @ n8 @ n9 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_2447,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_2448,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_2449,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11390,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ n16 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11348,zip_derived_cl31,zip_derived_cl201,zip_derived_cl10,zip_derived_cl221,zip_derived_cl31,zip_derived_cl10,zip_derived_cl200]) ).
thf(zip_derived_cl12991,plain,
( ( n13
!= ( sum @ n16 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl11390]) ).
thf(zip_derived_cl398_2450,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13005,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n9 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12991,zip_derived_cl398]) ).
thf('263',plain,
( ( sk__1 != n9 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13005]) ).
thf(zip_derived_cl398_2451,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_2452,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11335_2453,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl5787]) ).
thf(zip_derived_cl11357,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl11335]) ).
thf(zip_derived_cl40_2454,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_2455,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_2456,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_2457,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11400,plain,
( ( ( sum @ ( sum @ n16 @ n10 ) @ ( sum @ n8 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11357,zip_derived_cl40,zip_derived_cl19,zip_derived_cl40,zip_derived_cl19]) ).
thf(zip_derived_cl230_2458,plain,
( ( sum @ n8 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12337,plain,
( ( ( sum @ ( sum @ n16 @ n10 ) @ n5 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11400,zip_derived_cl230]) ).
thf(zip_derived_cl12807,plain,
( ( ( sum @ ( sum @ n16 @ n10 ) @ n5 )
!= ( sum @ n13 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl12337]) ).
thf(zip_derived_cl390_2459,plain,
( ( sum @ n16 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_2460,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl335_2461,plain,
( ( sum @ n13 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12828,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n9 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12807,zip_derived_cl390,zip_derived_cl154,zip_derived_cl335]) ).
thf('264',plain,
( ( sk__1 != n9 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12828]) ).
thf(zip_derived_cl396_2462,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724_2463,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11335_2464,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl5787]) ).
thf(zip_derived_cl11347,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl11335]) ).
thf(zip_derived_cl30_2465,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180_2466,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2467,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_2468,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2469,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2470,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_2471,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11389,plain,
( ( ( sum @ n16 @ n16 )
!= ( sum @ n14 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11347,zip_derived_cl30,zip_derived_cl180,zip_derived_cl9,zip_derived_cl220,zip_derived_cl30,zip_derived_cl9,zip_derived_cl178]) ).
thf(zip_derived_cl12772,plain,
( ( n11
!= ( sum @ n14 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl11389]) ).
thf(zip_derived_cl356_2472,plain,
( ( sum @ n14 @ n18 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12784,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n9 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12772,zip_derived_cl356]) ).
thf('265',plain,
( ( sk__1 != n9 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12784]) ).
thf(zip_derived_cl354_2473,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_2474,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11335_2475,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl5787]) ).
thf(zip_derived_cl11355,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl11335]) ).
thf(zip_derived_cl38_2476,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_2477,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_2478,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_2479,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11398,plain,
( ( ( sum @ ( sum @ n14 @ n10 ) @ ( sum @ n8 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11355,zip_derived_cl38,zip_derived_cl17,zip_derived_cl38,zip_derived_cl17]) ).
thf(zip_derived_cl348_2480,plain,
( ( sum @ n14 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228_2481,plain,
( ( sum @ n8 @ n16 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_2482,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12335,plain,
( ( n6
!= ( sum @ ( sum @ n14 @ n16 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11398,zip_derived_cl348,zip_derived_cl228,zip_derived_cl110]) ).
thf(zip_derived_cl12370,plain,
( ( n6
!= ( sum @ n9 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl12335]) ).
thf(zip_derived_cl251_2483,plain,
( ( sum @ n9 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12386,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n9 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12370,zip_derived_cl251]) ).
thf('266',plain,
( ( sk__1 != n9 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12386]) ).
thf(zip_derived_cl352_2484,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl722_2485,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11335_2486,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl5787]) ).
thf(zip_derived_cl11345,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl11335]) ).
thf(zip_derived_cl28_2487,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138_2488,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_2489,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_2490,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2491,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_2492,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_2493,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11387,plain,
( ( ( sum @ n14 @ n14 )
!= ( sum @ n10 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11345,zip_derived_cl28,zip_derived_cl138,zip_derived_cl7,zip_derived_cl218,zip_derived_cl28,zip_derived_cl7,zip_derived_cl134]) ).
thf(zip_derived_cl12340,plain,
( ( n7
!= ( sum @ n10 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl11387]) ).
thf(zip_derived_cl272_2494,plain,
( ( sum @ n10 @ n18 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12350,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n9 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12340,zip_derived_cl272]) ).
thf('267',plain,
( ( sk__1 != n9 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12350]) ).
thf(zip_derived_cl731_2495,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11335_2496,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl5787]) ).
thf(zip_derived_cl11354,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl11335]) ).
thf(zip_derived_cl37_2497,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_2498,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_2499,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_2500,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11397,plain,
( ( ( sum @ ( sum @ n13 @ n10 ) @ ( sum @ n8 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11354,zip_derived_cl37,zip_derived_cl16,zip_derived_cl37,zip_derived_cl16]) ).
thf(zip_derived_cl327_2501,plain,
( ( sum @ n13 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227_2502,plain,
( ( sum @ n8 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_2503,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_2504,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl209_2505,plain,
( ( sum @ n7 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12333,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n9 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11397,zip_derived_cl327,zip_derived_cl227,zip_derived_cl88,zip_derived_cl332,zip_derived_cl209]) ).
thf('268',plain,
( ( sk__1 != n9 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12333]) ).
thf(zip_derived_cl730_2506,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11335_2507,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl5787]) ).
thf(zip_derived_cl11353,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl11335]) ).
thf(zip_derived_cl36_2508,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_2509,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_2510,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_2511,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11396,plain,
( ( ( sum @ ( sum @ n12 @ n10 ) @ ( sum @ n8 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11353,zip_derived_cl36,zip_derived_cl15,zip_derived_cl36,zip_derived_cl15]) ).
thf(zip_derived_cl306_2512,plain,
( ( sum @ n12 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_2513,plain,
( ( sum @ n8 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_2514,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_2515,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl167_2516,plain,
( ( sum @ n5 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12331,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n9 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11396,zip_derived_cl306,zip_derived_cl226,zip_derived_cl66,zip_derived_cl310,zip_derived_cl167]) ).
thf('269',plain,
( ( sk__1 != n9 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12331]) ).
thf(zip_derived_cl308_2517,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720_2518,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11335_2519,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl5787]) ).
thf(zip_derived_cl11343,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl11335]) ).
thf(zip_derived_cl26_2520,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_2521,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2522,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_2523,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_2524,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2525,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_2526,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl188_2527,plain,
( ( sum @ n6 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11385,plain,
( ( ( sum @ n12 @ n12 )
!= n3 )
<= ( ( sk__1 = n9 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11343,zip_derived_cl26,zip_derived_cl96,zip_derived_cl5,zip_derived_cl216,zip_derived_cl26,zip_derived_cl5,zip_derived_cl90,zip_derived_cl188]) ).
thf(zip_derived_cl11971,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n9 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl11385]) ).
thf('270',plain,
( ( sk__1 != n9 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11971]) ).
thf(zip_derived_cl286_2528,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_2529,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11335_2530,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl5787]) ).
thf(zip_derived_cl11342,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl11335]) ).
thf(zip_derived_cl25_2531,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_2532,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2533,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl215_2534,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_2535,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2536,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_2537,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl146_2538,plain,
( ( sum @ n4 @ n18 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11384,plain,
( ( ( sum @ n11 @ n11 )
!= n1 )
<= ( ( sk__1 = n9 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11342,zip_derived_cl25,zip_derived_cl75,zip_derived_cl4,zip_derived_cl215,zip_derived_cl25,zip_derived_cl4,zip_derived_cl68,zip_derived_cl146]) ).
thf(zip_derived_cl11796,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n9 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl286,zip_derived_cl11384]) ).
thf('271',plain,
( ( sk__1 != n9 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11796]) ).
thf(zip_derived_cl484_2539,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728_2540,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11335_2541,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n10 ) @ ( sum @ n8 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl5787]) ).
thf(zip_derived_cl11351,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl11335]) ).
thf(zip_derived_cl34_2542,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2543,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2544,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2545,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11394,plain,
( ( ( sum @ ( sum @ n10 @ n10 ) @ ( sum @ n8 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11351,zip_derived_cl34,zip_derived_cl13,zip_derived_cl34,zip_derived_cl13]) ).
thf(zip_derived_cl264_2546,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_2547,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_2548,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_2549,plain,
( ( sum @ n1 @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12328,plain,
( ( ( sum @ n20 @ n20 )
!= n19 )
<= ( ( sk__1 = n9 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11394,zip_derived_cl264,zip_derived_cl224,zip_derived_cl266,zip_derived_cl83]) ).
thf(zip_derived_cl13921,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n9 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl12328]) ).
thf('272',plain,
( ( sk__1 != n9 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13921]) ).
thf(zip_derived_cl484_2550,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724_2551,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11986_2552,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6856]) ).
thf(zip_derived_cl12009,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl11986]) ).
thf(zip_derived_cl30_2553,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl184,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2554,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl304_2555,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2556,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2557,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_2558,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12051,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ n14 @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12009,zip_derived_cl30,zip_derived_cl184,zip_derived_cl9,zip_derived_cl304,zip_derived_cl30,zip_derived_cl9,zip_derived_cl178]) ).
thf(zip_derived_cl13916,plain,
( ( n19
!= ( sum @ n14 @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl12051]) ).
thf(zip_derived_cl343_2559,plain,
( ( sum @ n14 @ n5 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13937,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n13 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13916,zip_derived_cl343]) ).
thf('273',plain,
( ( sk_ != n7 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13937]) ).
thf(zip_derived_cl724_2560,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13325_2561,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl8452]) ).
thf(zip_derived_cl13451,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n0 ) @ ( sum @ n19 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl13325]) ).
thf(zip_derived_cl30_2562,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170_2563,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2564,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2565,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2566,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_2567,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl357_2568,plain,
( ( sum @ n14 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13493,plain,
( ( ( sum @ n6 @ ( sum @ n19 @ n8 ) )
!= n12 )
<= ( ( sk__1 = n20 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13451,zip_derived_cl30,zip_derived_cl170,zip_derived_cl9,zip_derived_cl30,zip_derived_cl9,zip_derived_cl178,zip_derived_cl357]) ).
thf(zip_derived_cl451,plain,
( ( sum @ n19 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_2569,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13761,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n20 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13493,zip_derived_cl451,zip_derived_cl176]) ).
thf('274',plain,
( ( sk_ != n7 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13761]) ).
thf(zip_derived_cl462_2570,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724_2571,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11809_2572,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl6589]) ).
thf(zip_derived_cl11828,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl11809]) ).
thf(zip_derived_cl30_2573,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl183_2574,plain,
( ( sum @ n6 @ n13 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2575,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl283_2576,plain,
( ( sum @ n11 @ n8 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2577,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2578,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_2579,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11870,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ n14 @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11828,zip_derived_cl30,zip_derived_cl183,zip_derived_cl9,zip_derived_cl283,zip_derived_cl30,zip_derived_cl9,zip_derived_cl178]) ).
thf(zip_derived_cl13602,plain,
( ( n17
!= ( sum @ n14 @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl11870]) ).
thf(zip_derived_cl341_2580,plain,
( ( sum @ n14 @ n3 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13622,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n12 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13602,zip_derived_cl341]) ).
thf('275',plain,
( ( sk_ != n7 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13622]) ).
thf(zip_derived_cl724_2581,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13271_2582,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl8276]) ).
thf(zip_derived_cl13333,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl13271]) ).
thf(zip_derived_cl30_2583,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl190_2584,plain,
( ( sum @ n6 @ n20 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2585,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl430_2586,plain,
( ( sum @ n18 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_2587,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2588,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2589,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_2590,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl355_2591,plain,
( ( sum @ n14 @ n17 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13380,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n19 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13333,zip_derived_cl30,zip_derived_cl190,zip_derived_cl9,zip_derived_cl430,zip_derived_cl154,zip_derived_cl30,zip_derived_cl9,zip_derived_cl178,zip_derived_cl355]) ).
thf('276',plain,
( ( sk_ != n7 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13380]) ).
thf(zip_derived_cl440_2592,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724_2593,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11633_2594,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6321]) ).
thf(zip_derived_cl11649,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl11633]) ).
thf(zip_derived_cl30_2595,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182_2596,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2597,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2598,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2599,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_2600,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11691,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ n14 @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11649,zip_derived_cl30,zip_derived_cl182,zip_derived_cl9,zip_derived_cl262,zip_derived_cl30,zip_derived_cl9,zip_derived_cl178]) ).
thf(zip_derived_cl13239,plain,
( ( n15
!= ( sum @ n14 @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl11691]) ).
thf(zip_derived_cl339_2601,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13255,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n11 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13239,zip_derived_cl339]) ).
thf('277',plain,
( ( sk__1 != n11 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13255]) ).
thf(zip_derived_cl724_2602,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13022_2603,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl8098]) ).
thf(zip_derived_cl13079,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl13022]) ).
thf(zip_derived_cl30_2604,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_2605,plain,
( ( sum @ n6 @ n19 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2606,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl409_2607,plain,
( ( sum @ n17 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_2608,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2609,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2610,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_2611,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353,plain,
( ( sum @ n14 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13125,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n18 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13079,zip_derived_cl30,zip_derived_cl189,zip_derived_cl9,zip_derived_cl409,zip_derived_cl132,zip_derived_cl30,zip_derived_cl9,zip_derived_cl178,zip_derived_cl353]) ).
thf('278',plain,
( ( sk_ != n7 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13125]) ).
thf(zip_derived_cl418_2612,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724_2613,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11489_2614,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl6054]) ).
thf(zip_derived_cl11497,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl11489]) ).
thf(zip_derived_cl30_2615,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl181_2616,plain,
( ( sum @ n6 @ n11 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2617,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl241,plain,
( ( sum @ n9 @ n8 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2618,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2619,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_2620,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11539,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ n14 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11497,zip_derived_cl30,zip_derived_cl181,zip_derived_cl9,zip_derived_cl241,zip_derived_cl30,zip_derived_cl9,zip_derived_cl178]) ).
thf(zip_derived_cl12992,plain,
( ( n13
!= ( sum @ n14 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl11539]) ).
thf(zip_derived_cl358_2621,plain,
( ( sum @ n14 @ n20 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13007,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n10 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12992,zip_derived_cl358]) ).
thf('279',plain,
( ( sk_ != n7 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13007]) ).
thf(zip_derived_cl374_2622,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724_2623,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11156_2624,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl5520]) ).
thf(zip_derived_cl11168,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl11156]) ).
thf(zip_derived_cl30_2625,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl179,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2626,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl199,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2627,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2628,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_2629,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11210,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ n14 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11168,zip_derived_cl30,zip_derived_cl179,zip_derived_cl9,zip_derived_cl199,zip_derived_cl30,zip_derived_cl9,zip_derived_cl178]) ).
thf(zip_derived_cl12548,plain,
( ( n9
!= ( sum @ n14 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl11210]) ).
thf(zip_derived_cl354_2630,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12559,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n8 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12548,zip_derived_cl354]) ).
thf('280',plain,
( ( sk_ != n7 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12559]) ).
thf(zip_derived_cl724_2631,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12359_2632,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl7390]) ).
thf(zip_derived_cl12395,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl12359]) ).
thf(zip_derived_cl30_2633,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl186,plain,
( ( sum @ n6 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2634,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl346,plain,
( ( sum @ n14 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_2635,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2636,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2637,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_2638,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl347,plain,
( ( sum @ n14 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12438,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n15 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12395,zip_derived_cl30,zip_derived_cl186,zip_derived_cl9,zip_derived_cl346,zip_derived_cl66,zip_derived_cl30,zip_derived_cl9,zip_derived_cl178,zip_derived_cl347]) ).
thf('281',plain,
( ( sk_ != n7 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12438]) ).
thf(zip_derived_cl346_2639,plain,
( ( sum @ n14 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724_2640,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9908_2641,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4440]) ).
thf(zip_derived_cl9916,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl9908]) ).
thf(zip_derived_cl30_2642,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2643,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2644,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2645,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9959,plain,
( ( ( sum @ ( sum @ n6 @ n5 ) @ ( sum @ n3 @ n8 ) )
!= ( sum @ ( sum @ n6 @ n8 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9916,zip_derived_cl30,zip_derived_cl9,zip_derived_cl30,zip_derived_cl9]) ).
thf(zip_derived_cl175_2646,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115_2647,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_2648,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_2649,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11923,plain,
( ( n1
!= ( sum @ n14 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9959,zip_derived_cl175,zip_derived_cl115,zip_derived_cl286,zip_derived_cl178]) ).
thf(zip_derived_cl12301,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n4 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl346,zip_derived_cl11923]) ).
thf('282',plain,
( ( sk_ != n7 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12301]) ).
thf(zip_derived_cl345_2650,plain,
( ( sum @ n14 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724_2651,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12162_2652,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl7123]) ).
thf(zip_derived_cl12190,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl12162]) ).
thf(zip_derived_cl30_2653,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl185,plain,
( ( sum @ n6 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2654,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl325,plain,
( ( sum @ n13 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_2655,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2656,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2657,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_2658,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12232,plain,
( ( n0
!= ( sum @ n14 @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12190,zip_derived_cl30,zip_derived_cl185,zip_derived_cl9,zip_derived_cl325,zip_derived_cl44,zip_derived_cl30,zip_derived_cl9,zip_derived_cl178]) ).
thf(zip_derived_cl12293,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n14 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl12232]) ).
thf('283',plain,
( ( sk_ != n7 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12293]) ).
thf(zip_derived_cl344_2659,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724_2660,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9494_2661,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl4167]) ).
thf(zip_derived_cl9502,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl9494]) ).
thf(zip_derived_cl30_2662,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2663,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2664,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2665,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9545,plain,
( ( ( sum @ ( sum @ n6 @ n4 ) @ ( sum @ n2 @ n8 ) )
!= ( sum @ ( sum @ n6 @ n8 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9502,zip_derived_cl30,zip_derived_cl9,zip_derived_cl30,zip_derived_cl9]) ).
thf(zip_derived_cl174_2666,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94_2667,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_2668,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_2669,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11776,plain,
( ( n20
!= ( sum @ n14 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9545,zip_derived_cl174,zip_derived_cl94,zip_derived_cl264,zip_derived_cl178]) ).
thf(zip_derived_cl12288,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n3 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl11776]) ).
thf('284',plain,
( ( sk__1 != n3 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12288]) ).
thf(zip_derived_cl724_2670,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl2197_2671,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ ( pred @ n7 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n7 ) @ n8 ) ) )
<= ( sk__1 = n7 ) ),
inference(demod,[status(thm)],[zip_derived_cl777,zip_derived_cl9,zip_derived_cl9]) ).
thf(zip_derived_cl2205,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n8 ) @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ ( sum @ ( pred @ n7 ) @ n8 ) ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl2197]) ).
thf(zip_derived_cl9_2672,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2673,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2247,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n8 ) @ ( sum @ ( pred @ n7 ) @ n8 ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ n8 ) @ ( sum @ ( pred @ n7 ) @ n8 ) ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2205,zip_derived_cl9,zip_derived_cl9]) ).
thf('285',plain,
( ( sk_ != n7 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2247]) ).
thf(zip_derived_cl463_2674,plain,
( ( sum @ n19 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl454_2675,plain,
( ( sum @ n19 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_2676,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11489_2677,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl6054]) ).
thf(zip_derived_cl11510,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl11489]) ).
thf(zip_derived_cl43_2678,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_2679,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl233_2680,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_2681,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_2682,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11553,plain,
( ( ( sum @ ( sum @ n19 @ n11 ) @ n9 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11510,zip_derived_cl43,zip_derived_cl22,zip_derived_cl233,zip_derived_cl43,zip_derived_cl22]) ).
thf(zip_derived_cl13549,plain,
( ( ( sum @ n9 @ n9 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl11553]) ).
thf(zip_derived_cl242_2683,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_2684,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13550,plain,
( ( n18
!= ( sum @ n19 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13549,zip_derived_cl242,zip_derived_cl443]) ).
thf(zip_derived_cl13640,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n10 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl13550]) ).
thf('286',plain,
( ( sk__1 != n10 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13640]) ).
thf(zip_derived_cl440_2685,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725_2686,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11489_2687,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl6054]) ).
thf(zip_derived_cl11498,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl11489]) ).
thf(zip_derived_cl31_2688,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl202_2689,plain,
( ( sum @ n7 @ n11 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_2690,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_2691,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_2692,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_2693,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_2694,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11540,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ n16 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11498,zip_derived_cl31,zip_derived_cl202,zip_derived_cl10,zip_derived_cl242,zip_derived_cl31,zip_derived_cl10,zip_derived_cl200]) ).
thf(zip_derived_cl13238,plain,
( ( n15
!= ( sum @ n16 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl11540]) ).
thf(zip_derived_cl400_2695,plain,
( ( sum @ n16 @ n20 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13253,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n10 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13238,zip_derived_cl400]) ).
thf('287',plain,
( ( sk__1 != n10 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13253]) ).
thf(zip_derived_cl398_2696,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_2697,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11489_2698,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl6054]) ).
thf(zip_derived_cl11507,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl11489]) ).
thf(zip_derived_cl40_2699,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_2700,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_2701,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_2702,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11550,plain,
( ( ( sum @ ( sum @ n16 @ n11 ) @ ( sum @ n9 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11507,zip_derived_cl40,zip_derived_cl19,zip_derived_cl40,zip_derived_cl19]) ).
thf(zip_derived_cl251_2703,plain,
( ( sum @ n9 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12509,plain,
( ( ( sum @ ( sum @ n16 @ n11 ) @ n6 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11550,zip_derived_cl251]) ).
thf(zip_derived_cl12808,plain,
( ( ( sum @ ( sum @ n16 @ n11 ) @ n6 )
!= ( sum @ n13 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl12509]) ).
thf(zip_derived_cl391_2704,plain,
( ( sum @ n16 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_2705,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl337_2706,plain,
( ( sum @ n13 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12830,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n10 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12808,zip_derived_cl391,zip_derived_cl176,zip_derived_cl337]) ).
thf('288',plain,
( ( sk__1 != n10 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12830]) ).
thf(zip_derived_cl374_2707,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl722_2708,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11489_2709,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl6054]) ).
thf(zip_derived_cl11495,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl11489]) ).
thf(zip_derived_cl28_2710,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139_2711,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_2712,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl239_2713,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2714,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_2715,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_2716,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11537,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ n10 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11495,zip_derived_cl28,zip_derived_cl139,zip_derived_cl7,zip_derived_cl239,zip_derived_cl28,zip_derived_cl7,zip_derived_cl134]) ).
thf(zip_derived_cl12550,plain,
( ( n9
!= ( sum @ n10 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl11537]) ).
thf(zip_derived_cl274_2717,plain,
( ( sum @ n10 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12563,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n10 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12550,zip_derived_cl274]) ).
thf('289',plain,
( ( sk__1 != n10 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12563]) ).
thf(zip_derived_cl732_2718,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11489_2719,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl6054]) ).
thf(zip_derived_cl11505,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl11489]) ).
thf(zip_derived_cl38_2720,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_2721,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_2722,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_2723,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11548,plain,
( ( ( sum @ ( sum @ n14 @ n11 ) @ ( sum @ n9 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11505,zip_derived_cl38,zip_derived_cl17,zip_derived_cl38,zip_derived_cl17]) ).
thf(zip_derived_cl349_2724,plain,
( ( sum @ n14 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl249,plain,
( ( sum @ n9 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_2725,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_2726,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl253_2727,plain,
( ( sum @ n9 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12506,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n10 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11548,zip_derived_cl349,zip_derived_cl249,zip_derived_cl132,zip_derived_cl354,zip_derived_cl253]) ).
thf('290',plain,
( ( sk__1 != n10 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12506]) ).
thf(zip_derived_cl731_2728,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11489_2729,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl6054]) ).
thf(zip_derived_cl11504,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl11489]) ).
thf(zip_derived_cl37_2730,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_2731,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_2732,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_2733,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11547,plain,
( ( ( sum @ ( sum @ n13 @ n11 ) @ ( sum @ n9 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11504,zip_derived_cl37,zip_derived_cl16,zip_derived_cl37,zip_derived_cl16]) ).
thf(zip_derived_cl328_2734,plain,
( ( sum @ n13 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl248,plain,
( ( sum @ n9 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_2735,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_2736,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl211_2737,plain,
( ( sum @ n7 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12504,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n10 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11547,zip_derived_cl328,zip_derived_cl248,zip_derived_cl110,zip_derived_cl332,zip_derived_cl211]) ).
thf('291',plain,
( ( sk__1 != n10 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12504]) ).
thf(zip_derived_cl730_2738,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11489_2739,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl6054]) ).
thf(zip_derived_cl11503,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl11489]) ).
thf(zip_derived_cl36_2740,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_2741,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_2742,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_2743,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11546,plain,
( ( ( sum @ ( sum @ n12 @ n11 ) @ ( sum @ n9 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11503,zip_derived_cl36,zip_derived_cl15,zip_derived_cl36,zip_derived_cl15]) ).
thf(zip_derived_cl307_2744,plain,
( ( sum @ n12 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl247,plain,
( ( sum @ n9 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_2745,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_2746,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl169_2747,plain,
( ( sum @ n5 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12502,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n10 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11546,zip_derived_cl307,zip_derived_cl247,zip_derived_cl88,zip_derived_cl310,zip_derived_cl169]) ).
thf('292',plain,
( ( sk__1 != n10 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12502]) ).
thf(zip_derived_cl330_2748,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720_2749,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11489_2750,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl6054]) ).
thf(zip_derived_cl11493,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl11489]) ).
thf(zip_derived_cl26_2751,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97_2752,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2753,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl237_2754,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_2755,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2756,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_2757,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl190_2758,plain,
( ( sum @ n6 @ n20 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11535,plain,
( ( ( sum @ n13 @ n13 )
!= n5 )
<= ( ( sk__1 = n10 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11493,zip_derived_cl26,zip_derived_cl97,zip_derived_cl5,zip_derived_cl237,zip_derived_cl26,zip_derived_cl5,zip_derived_cl90,zip_derived_cl190]) ).
thf(zip_derived_cl12146,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n10 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl11535]) ).
thf('293',plain,
( ( sk__1 != n10 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12146]) ).
thf(zip_derived_cl308_2759,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_2760,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11489_2761,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl6054]) ).
thf(zip_derived_cl11492,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl11489]) ).
thf(zip_derived_cl25_2762,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2763,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2764,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl236_2765,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_2766,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2767,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_2768,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148_2769,plain,
( ( sum @ n4 @ n20 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11534,plain,
( ( ( sum @ n12 @ n12 )
!= n3 )
<= ( ( sk__1 = n10 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11492,zip_derived_cl25,zip_derived_cl76,zip_derived_cl4,zip_derived_cl236,zip_derived_cl25,zip_derived_cl4,zip_derived_cl68,zip_derived_cl148]) ).
thf(zip_derived_cl11973,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n10 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl11534]) ).
thf('294',plain,
( ( sk__1 != n10 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11973]) ).
thf(zip_derived_cl266_2770,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728_2771,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11489_2772,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl6054]) ).
thf(zip_derived_cl11501,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl11489]) ).
thf(zip_derived_cl34_2773,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2774,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_2775,plain,
( ( sum @ n9 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2776,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2777,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11544,plain,
( ( ( sum @ ( sum @ n10 @ n11 ) @ n0 )
!= ( sum @ ( sum @ n10 @ n12 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11501,zip_derived_cl34,zip_derived_cl13,zip_derived_cl245,zip_derived_cl34,zip_derived_cl13]) ).
thf(zip_derived_cl11634,plain,
( ( ( sum @ ( sum @ n10 @ n11 ) @ n0 )
!= ( sum @ n1 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl11544]) ).
thf(zip_derived_cl265_2778,plain,
( ( sum @ n10 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_2779,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_2780,plain,
( ( sum @ n1 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11636,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n10 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11634,zip_derived_cl265,zip_derived_cl44,zip_derived_cl85]) ).
thf('295',plain,
( ( sk__1 != n10 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11636]) ).
thf(zip_derived_cl475_2781,plain,
( ( sum @ n20 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_2782,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11489_2783,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ n9 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl6054]) ).
thf(zip_derived_cl11490,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl11489]) ).
thf(zip_derived_cl23_2784,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2785,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234_2786,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_2787,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2788,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11532,plain,
( ( ( sum @ ( sum @ n20 @ n11 ) @ n10 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11490,zip_derived_cl23,zip_derived_cl2,zip_derived_cl234,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl13819,plain,
( ( ( sum @ n10 @ n10 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl11532]) ).
thf(zip_derived_cl264_2789,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_2790,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_2791,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13821,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n10 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13819,zip_derived_cl264,zip_derived_cl465,zip_derived_cl64]) ).
thf('296',plain,
( ( sk__1 != n10 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13821]) ).
thf(zip_derived_cl727_2792,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl2433_2793,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n11 ) @ ( sum @ ( pred @ n10 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n10 ) @ n11 ) ) )
<= ( sk__1 = n10 ) ),
inference(demod,[status(thm)],[zip_derived_cl807,zip_derived_cl12,zip_derived_cl12]) ).
thf(zip_derived_cl2444,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n11 ) @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ ( sum @ ( pred @ n10 ) @ n11 ) ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl2433]) ).
thf(zip_derived_cl12_2794,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_2795,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2486,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n11 ) @ ( sum @ ( pred @ n10 ) @ n11 ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ n11 ) @ ( sum @ ( pred @ n10 ) @ n11 ) ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2444,zip_derived_cl12,zip_derived_cl12]) ).
thf('297',plain,
( ( sk__1 != n10 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2486]) ).
thf(zip_derived_cl728_2796,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13325_2797,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl8452]) ).
thf(zip_derived_cl13455,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n0 ) @ ( sum @ n19 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl13325]) ).
thf(zip_derived_cl34_2798,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl254_2799,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2800,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2801,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2802,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_2803,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_2804,plain,
( ( sum @ n1 @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13497,plain,
( ( ( sum @ n10 @ ( sum @ n19 @ n12 ) )
!= n20 )
<= ( ( sk__1 = n20 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13455,zip_derived_cl34,zip_derived_cl254,zip_derived_cl13,zip_derived_cl34,zip_derived_cl13,zip_derived_cl266,zip_derived_cl84]) ).
thf(zip_derived_cl455_2805,plain,
( ( sum @ n19 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_2806,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13773,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n20 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13497,zip_derived_cl455,zip_derived_cl264]) ).
thf('298',plain,
( ( sk_ != n11 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13773]) ).
thf(zip_derived_cl462_2807,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728_2808,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11156_2809,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl5520]) ).
thf(zip_derived_cl11172,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl11156]) ).
thf(zip_derived_cl34_2810,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2811,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2812,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2813,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11215,plain,
( ( ( sum @ ( sum @ n10 @ n9 ) @ ( sum @ n7 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11172,zip_derived_cl34,zip_derived_cl13,zip_derived_cl34,zip_derived_cl13]) ).
thf(zip_derived_cl263,plain,
( ( sum @ n10 @ n9 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl203_2814,plain,
( ( sum @ n7 @ n12 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_2815,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_2816,plain,
( ( sum @ n1 @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12295,plain,
( ( ( sum @ n19 @ n19 )
!= n17 )
<= ( ( sk__1 = n8 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11215,zip_derived_cl263,zip_derived_cl203,zip_derived_cl266,zip_derived_cl81]) ).
thf(zip_derived_cl13608,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n8 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl12295]) ).
thf('299',plain,
( ( sk_ != n11 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13608]) ).
thf(zip_derived_cl728_2817,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13271_2818,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl8276]) ).
thf(zip_derived_cl13337,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl13271]) ).
thf(zip_derived_cl34_2819,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl274_2820,plain,
( ( sum @ n10 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2821,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_2822,plain,
( ( sum @ n18 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_2823,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2824,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2825,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_2826,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_2827,plain,
( ( sum @ n1 @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13387,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n19 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13337,zip_derived_cl34,zip_derived_cl274,zip_derived_cl13,zip_derived_cl434,zip_derived_cl242,zip_derived_cl34,zip_derived_cl13,zip_derived_cl266,zip_derived_cl82]) ).
thf('300',plain,
( ( sk_ != n11 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13387]) ).
thf(zip_derived_cl440_2828,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728_2829,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10971_2830,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl5250]) ).
thf(zip_derived_cl10989,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl10971]) ).
thf(zip_derived_cl34_2831,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2832,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2833,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2834,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11032,plain,
( ( ( sum @ ( sum @ n10 @ n8 ) @ ( sum @ n6 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10989,zip_derived_cl34,zip_derived_cl13,zip_derived_cl34,zip_derived_cl13]) ).
thf(zip_derived_cl262_2835,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182_2836,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_2837,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_2838,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12134,plain,
( ( ( sum @ n18 @ n18 )
!= n15 )
<= ( ( sk__1 = n7 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11032,zip_derived_cl262,zip_derived_cl182,zip_derived_cl266,zip_derived_cl79]) ).
thf(zip_derived_cl13244,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n7 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl12134]) ).
thf('301',plain,
( ( sk_ != n11 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13244]) ).
thf(zip_derived_cl728_2839,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13022_2840,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl8098]) ).
thf(zip_derived_cl13083,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl13022]) ).
thf(zip_derived_cl34_2841,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl273_2842,plain,
( ( sum @ n10 @ n19 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2843,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl413_2844,plain,
( ( sum @ n17 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_2845,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2846,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2847,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_2848,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_2849,plain,
( ( sum @ n1 @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13131,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n18 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13083,zip_derived_cl34,zip_derived_cl273,zip_derived_cl13,zip_derived_cl413,zip_derived_cl220,zip_derived_cl34,zip_derived_cl13,zip_derived_cl266,zip_derived_cl80]) ).
thf('302',plain,
( ( sk_ != n11 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13131]) ).
thf(zip_derived_cl374_2850,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728_2851,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9908_2852,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4440]) ).
thf(zip_derived_cl9920,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl9908]) ).
thf(zip_derived_cl34_2853,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2854,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2855,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2856,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9963,plain,
( ( ( sum @ ( sum @ n10 @ n5 ) @ ( sum @ n3 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9920,zip_derived_cl34,zip_derived_cl13,zip_derived_cl34,zip_derived_cl13]) ).
thf(zip_derived_cl259_2857,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119_2858,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_2859,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_2860,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11927,plain,
( ( ( sum @ n15 @ n15 )
!= n9 )
<= ( ( sk__1 = n4 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9963,zip_derived_cl259,zip_derived_cl119,zip_derived_cl266,zip_derived_cl73]) ).
thf(zip_derived_cl12554,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n4 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl11927]) ).
thf('303',plain,
( ( sk_ != n11 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12554]) ).
thf(zip_derived_cl728_2861,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12359_2862,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl7390]) ).
thf(zip_derived_cl12399,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl12359]) ).
thf(zip_derived_cl34_2863,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_2864,plain,
( ( sum @ n10 @ n16 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2865,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl350_2866,plain,
( ( sum @ n14 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_2867,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2868,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2869,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_2870,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2871,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12443,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n15 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12399,zip_derived_cl34,zip_derived_cl270,zip_derived_cl13,zip_derived_cl350,zip_derived_cl154,zip_derived_cl34,zip_derived_cl13,zip_derived_cl266,zip_derived_cl74]) ).
thf('304',plain,
( ( sk_ != n11 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12443]) ).
thf(zip_derived_cl352_2872,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728_2873,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9494_2874,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl4167]) ).
thf(zip_derived_cl9506,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl9494]) ).
thf(zip_derived_cl34_2875,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2876,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2877,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2878,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9549,plain,
( ( ( sum @ ( sum @ n10 @ n4 ) @ ( sum @ n2 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9506,zip_derived_cl34,zip_derived_cl13,zip_derived_cl34,zip_derived_cl13]) ).
thf(zip_derived_cl258_2879,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2880,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_2881,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_2882,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11780,plain,
( ( ( sum @ n14 @ n14 )
!= n7 )
<= ( ( sk__1 = n3 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9549,zip_derived_cl258,zip_derived_cl98,zip_derived_cl266,zip_derived_cl71]) ).
thf(zip_derived_cl12343,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n3 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl11780]) ).
thf('305',plain,
( ( sk__1 != n3 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12343]) ).
thf(zip_derived_cl728_2883,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12162_2884,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl7123]) ).
thf(zip_derived_cl12194,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl12162]) ).
thf(zip_derived_cl34_2885,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl269,plain,
( ( sum @ n10 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2886,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl329_2887,plain,
( ( sum @ n13 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_2888,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2889,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2890,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_2891,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2892,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12236,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n14 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12194,zip_derived_cl34,zip_derived_cl269,zip_derived_cl13,zip_derived_cl329,zip_derived_cl132,zip_derived_cl34,zip_derived_cl13,zip_derived_cl266,zip_derived_cl72]) ).
thf('306',plain,
( ( sk_ != n11 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12236]) ).
thf(zip_derived_cl728_2893,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11986_2894,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6856]) ).
thf(zip_derived_cl12013,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl11986]) ).
thf(zip_derived_cl34_2895,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268,plain,
( ( sum @ n10 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2896,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308_2897,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_2898,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2899,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2900,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_2901,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_2902,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12055,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n13 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12013,zip_derived_cl34,zip_derived_cl268,zip_derived_cl13,zip_derived_cl308,zip_derived_cl110,zip_derived_cl34,zip_derived_cl13,zip_derived_cl266,zip_derived_cl70]) ).
thf('307',plain,
( ( sk_ != n11 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12055]) ).
thf(zip_derived_cl728_2903,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11809_2904,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl6589]) ).
thf(zip_derived_cl11832,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl11809]) ).
thf(zip_derived_cl34_2905,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl267_2906,plain,
( ( sum @ n10 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2907,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl287_2908,plain,
( ( sum @ n11 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_2909,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2910,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2911,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_2912,plain,
( ( sum @ n10 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_2913,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11874,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n12 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11832,zip_derived_cl34,zip_derived_cl267,zip_derived_cl13,zip_derived_cl287,zip_derived_cl88,zip_derived_cl34,zip_derived_cl13,zip_derived_cl266,zip_derived_cl68]) ).
thf('308',plain,
( ( sk_ != n11 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11874]) ).
thf(zip_derived_cl728_2914,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl2513_2915,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ ( pred @ n11 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n11 ) @ n12 ) ) )
<= ( sk__1 = n11 ) ),
inference(demod,[status(thm)],[zip_derived_cl822,zip_derived_cl13,zip_derived_cl13]) ).
thf(zip_derived_cl2525,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n12 ) @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ ( sum @ ( pred @ n11 ) @ n12 ) ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl2513]) ).
thf(zip_derived_cl13_2916,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2917,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2567,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n12 ) @ ( sum @ ( pred @ n11 ) @ n12 ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ n12 ) @ ( sum @ ( pred @ n11 ) @ n12 ) ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2525,zip_derived_cl13,zip_derived_cl13]) ).
thf('309',plain,
( ( sk__1 != n11 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2567]) ).
thf(zip_derived_cl484_2918,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730_2919,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10971_2920,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl5250]) ).
thf(zip_derived_cl10991,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl10971]) ).
thf(zip_derived_cl36_2921,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_2922,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_2923,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_2924,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11034,plain,
( ( ( sum @ ( sum @ n12 @ n8 ) @ ( sum @ n6 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10991,zip_derived_cl36,zip_derived_cl15,zip_derived_cl36,zip_derived_cl15]) ).
thf(zip_derived_cl304_2925,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl184_2926,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_2927,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl163_2928,plain,
( ( sum @ n5 @ n14 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12136,plain,
( ( ( sum @ n20 @ n20 )
!= n19 )
<= ( ( sk__1 = n7 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11034,zip_derived_cl304,zip_derived_cl184,zip_derived_cl310,zip_derived_cl163]) ).
thf(zip_derived_cl13917,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n7 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl12136]) ).
thf('310',plain,
( ( sk__1 != n7 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13917]) ).
thf(zip_derived_cl478_2929,plain,
( ( sum @ n20 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_2930,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10971_2931,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl5250]) ).
thf(zip_derived_cl10988,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl10971]) ).
thf(zip_derived_cl33_2932,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_2933,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_2934,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_2935,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11031,plain,
( ( ( sum @ ( sum @ n9 @ n8 ) @ ( sum @ n6 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10988,zip_derived_cl33,zip_derived_cl12,zip_derived_cl33,zip_derived_cl12]) ).
thf(zip_derived_cl241_2936,plain,
( ( sum @ n9 @ n8 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl181_2937,plain,
( ( sum @ n6 @ n11 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_2938,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12133,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ n20 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11031,zip_derived_cl241,zip_derived_cl181,zip_derived_cl244]) ).
thf(zip_derived_cl13852,plain,
( ( ( sum @ n17 @ n17 )
!= n13 )
<= ( ( sk__1 = n7 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl12133]) ).
thf(zip_derived_cl418_2939,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13855,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n7 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13852,zip_derived_cl418]) ).
thf('311',plain,
( ( sk__1 != n7 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13855]) ).
thf(zip_derived_cl472_2940,plain,
( ( sum @ n20 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_2941,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10971_2942,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl5250]) ).
thf(zip_derived_cl10978,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl10971]) ).
thf(zip_derived_cl23_2943,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2944,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl171_2945,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_2946,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2947,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11020,plain,
( ( ( sum @ ( sum @ n20 @ n8 ) @ n7 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10978,zip_derived_cl23,zip_derived_cl2,zip_derived_cl171,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl13788,plain,
( ( ( sum @ n7 @ n7 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl11020]) ).
thf(zip_derived_cl198_2948,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_2949,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_2950,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13790,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n7 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13788,zip_derived_cl198,zip_derived_cl465,zip_derived_cl58]) ).
thf('312',plain,
( ( sk__1 != n7 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13790]) ).
thf(zip_derived_cl451_2951,plain,
( ( sum @ n19 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_2952,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10971_2953,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl5250]) ).
thf(zip_derived_cl10998,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl10971]) ).
thf(zip_derived_cl43_2954,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_2955,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170_2956,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_2957,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_2958,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11041,plain,
( ( ( sum @ ( sum @ n19 @ n8 ) @ n6 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10998,zip_derived_cl43,zip_derived_cl22,zip_derived_cl170,zip_derived_cl43,zip_derived_cl22]) ).
thf(zip_derived_cl13543,plain,
( ( ( sum @ n6 @ n6 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl11041]) ).
thf(zip_derived_cl176_2959,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_2960,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13544,plain,
( ( n12
!= ( sum @ n19 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13543,zip_derived_cl176,zip_derived_cl443]) ).
thf(zip_derived_cl457,plain,
( ( sum @ n19 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13576,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n7 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13544,zip_derived_cl457]) ).
thf('313',plain,
( ( sk__1 != n7 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13576]) ).
thf(zip_derived_cl398_2961,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_2962,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10971_2963,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl5250]) ).
thf(zip_derived_cl10995,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl10971]) ).
thf(zip_derived_cl40_2964,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_2965,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_2966,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_2967,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11038,plain,
( ( ( sum @ ( sum @ n16 @ n8 ) @ ( sum @ n6 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10995,zip_derived_cl40,zip_derived_cl19,zip_derived_cl40,zip_derived_cl19]) ).
thf(zip_derived_cl188_2968,plain,
( ( sum @ n6 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12140,plain,
( ( ( sum @ ( sum @ n16 @ n8 ) @ n3 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11038,zip_derived_cl188]) ).
thf(zip_derived_cl12805,plain,
( ( ( sum @ ( sum @ n16 @ n8 ) @ n3 )
!= ( sum @ n13 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl12140]) ).
thf(zip_derived_cl388_2969,plain,
( ( sum @ n16 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_2970,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl331,plain,
( ( sum @ n13 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12824,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n7 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12805,zip_derived_cl388,zip_derived_cl110,zip_derived_cl331]) ).
thf('314',plain,
( ( sk__1 != n7 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12824]) ).
thf(zip_derived_cl394_2971,plain,
( ( sum @ n16 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725_2972,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10971_2973,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl5250]) ).
thf(zip_derived_cl10986,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl10971]) ).
thf(zip_derived_cl31_2974,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_2975,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl179_2976,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_2977,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_2978,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11029,plain,
( ( ( sum @ ( sum @ n7 @ n8 ) @ n15 )
!= ( sum @ ( sum @ n7 @ n9 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10986,zip_derived_cl31,zip_derived_cl10,zip_derived_cl179,zip_derived_cl31,zip_derived_cl10]) ).
thf(zip_derived_cl199_2979,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_2980,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11578,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ n16 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11029,zip_derived_cl199,zip_derived_cl200]) ).
thf(zip_derived_cl12759,plain,
( ( ( sum @ n15 @ n15 )
!= n9 )
<= ( ( sk__1 = n7 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl11578]) ).
thf(zip_derived_cl374_2981,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12760,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n7 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12759,zip_derived_cl374]) ).
thf('315',plain,
( ( sk__1 != n7 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12760]) ).
thf(zip_derived_cl354_2982,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_2983,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10971_2984,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl5250]) ).
thf(zip_derived_cl10993,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl10971]) ).
thf(zip_derived_cl38_2985,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_2986,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_2987,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_2988,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11036,plain,
( ( ( sum @ ( sum @ n14 @ n8 ) @ ( sum @ n6 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10993,zip_derived_cl38,zip_derived_cl17,zip_derived_cl38,zip_derived_cl17]) ).
thf(zip_derived_cl186_2989,plain,
( ( sum @ n6 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12138,plain,
( ( ( sum @ ( sum @ n14 @ n8 ) @ n1 )
!= ( sum @ ( sum @ n14 @ n16 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11036,zip_derived_cl186]) ).
thf(zip_derived_cl12366,plain,
( ( ( sum @ ( sum @ n14 @ n8 ) @ n1 )
!= ( sum @ n9 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl12138]) ).
thf(zip_derived_cl346_2990,plain,
( ( sum @ n14 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_2991,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl247_2992,plain,
( ( sum @ n9 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12378,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n7 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12366,zip_derived_cl346,zip_derived_cl66,zip_derived_cl247]) ).
thf('316',plain,
( ( sk__1 != n7 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12378]) ).
thf(zip_derived_cl332_2993,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731_2994,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10971_2995,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl5250]) ).
thf(zip_derived_cl10992,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl10971]) ).
thf(zip_derived_cl37_2996,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_2997,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_2998,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_2999,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11035,plain,
( ( ( sum @ ( sum @ n13 @ n8 ) @ ( sum @ n6 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10992,zip_derived_cl37,zip_derived_cl16,zip_derived_cl37,zip_derived_cl16]) ).
thf(zip_derived_cl325_3000,plain,
( ( sum @ n13 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl185_3001,plain,
( ( sum @ n6 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_3002,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12137,plain,
( ( n0
!= ( sum @ ( sum @ n13 @ n15 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11035,zip_derived_cl325,zip_derived_cl185,zip_derived_cl44]) ).
thf(zip_derived_cl12171,plain,
( ( n0
!= ( sum @ n7 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl12137]) ).
thf(zip_derived_cl205,plain,
( ( sum @ n7 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12181,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n7 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12171,zip_derived_cl205]) ).
thf('317',plain,
( ( sk__1 != n7 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12181]) ).
thf(zip_derived_cl308_3003,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl722_3004,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10971_3005,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl5250]) ).
thf(zip_derived_cl10983,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl10971]) ).
thf(zip_derived_cl28_3006,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136_3007,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3008,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_3009,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_3010,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3011,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_3012,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11025,plain,
( ( ( sum @ n12 @ n12 )
!= ( sum @ n10 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10983,zip_derived_cl28,zip_derived_cl136,zip_derived_cl7,zip_derived_cl176,zip_derived_cl28,zip_derived_cl7,zip_derived_cl134]) ).
thf(zip_derived_cl11970,plain,
( ( n3
!= ( sum @ n10 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl11025]) ).
thf(zip_derived_cl268_3013,plain,
( ( sum @ n10 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11976,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n7 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11970,zip_derived_cl268]) ).
thf('318',plain,
( ( sk__1 != n7 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11976]) ).
thf(zip_derived_cl264_3014,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720_3015,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10971_3016,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl5250]) ).
thf(zip_derived_cl10981,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl10971]) ).
thf(zip_derived_cl26_3017,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94_3018,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3019,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174_3020,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3021,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3022,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_3023,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11023,plain,
( ( ( sum @ n10 @ n10 )
!= ( sum @ n6 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10981,zip_derived_cl26,zip_derived_cl94,zip_derived_cl5,zip_derived_cl174,zip_derived_cl26,zip_derived_cl5,zip_derived_cl90]) ).
thf(zip_derived_cl184_3024,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11472,plain,
( ( ( sum @ n10 @ n10 )
!= n20 )
<= ( ( sk__1 = n7 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11023,zip_derived_cl184]) ).
thf(zip_derived_cl11622,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n7 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl11472]) ).
thf('319',plain,
( ( sk__1 != n7 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11622]) ).
thf(zip_derived_cl242_3025,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_3026,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl10971_3027,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n8 ) @ ( sum @ n6 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl5250]) ).
thf(zip_derived_cl10980,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl10971]) ).
thf(zip_derived_cl25_3028,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_3029,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3030,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl173_3031,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_3032,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3033,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3034,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142_3035,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11022,plain,
( ( ( sum @ n9 @ n9 )
!= n18 )
<= ( ( sk__1 = n7 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10980,zip_derived_cl25,zip_derived_cl73,zip_derived_cl4,zip_derived_cl173,zip_derived_cl25,zip_derived_cl4,zip_derived_cl68,zip_derived_cl142]) ).
thf(zip_derived_cl11481,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n7 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl11022]) ).
thf('320',plain,
( ( sk__1 != n7 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11481]) ).
thf(zip_derived_cl727_3036,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13325_3037,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl8452]) ).
thf(zip_derived_cl13454,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n0 ) @ ( sum @ n19 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl13325]) ).
thf(zip_derived_cl33_3038,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl233_3039,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3040,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_3041,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3042,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_3043,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13496,plain,
( ( ( sum @ n9 @ ( sum @ n19 @ n11 ) )
!= ( sum @ n20 @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13454,zip_derived_cl33,zip_derived_cl233,zip_derived_cl12,zip_derived_cl33,zip_derived_cl12,zip_derived_cl244]) ).
thf(zip_derived_cl454_3044,plain,
( ( sum @ n19 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_3045,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl483_3046,plain,
( ( sum @ n20 @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14048,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n20 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13496,zip_derived_cl454,zip_derived_cl242,zip_derived_cl483]) ).
thf('321',plain,
( ( sk_ != n10 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl14048]) ).
thf(zip_derived_cl481_3047,plain,
( ( sum @ n20 @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_3048,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13271_3049,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl8276]) ).
thf(zip_derived_cl13336,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl13271]) ).
thf(zip_derived_cl33_3050,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl253_3051,plain,
( ( sum @ n9 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3052,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl433_3053,plain,
( ( sum @ n18 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_3054,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_3055,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3056,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_3057,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13386,plain,
( ( n16
!= ( sum @ n20 @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13336,zip_derived_cl33,zip_derived_cl253,zip_derived_cl12,zip_derived_cl433,zip_derived_cl220,zip_derived_cl33,zip_derived_cl12,zip_derived_cl244]) ).
thf(zip_derived_cl13883,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n19 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl13386]) ).
thf('322',plain,
( ( sk_ != n10 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13883]) ).
thf(zip_derived_cl480_3058,plain,
( ( sum @ n20 @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_3059,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11156_3060,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl5520]) ).
thf(zip_derived_cl11171,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl11156]) ).
thf(zip_derived_cl33_3061,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3062,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_3063,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3064,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11214,plain,
( ( ( sum @ ( sum @ n9 @ n9 ) @ ( sum @ n7 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11171,zip_derived_cl33,zip_derived_cl12,zip_derived_cl33,zip_derived_cl12]) ).
thf(zip_derived_cl242_3065,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl202_3066,plain,
( ( sum @ n7 @ n11 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_3067,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12292,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ n20 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11214,zip_derived_cl242,zip_derived_cl202,zip_derived_cl244]) ).
thf(zip_derived_cl13872,plain,
( ( ( sum @ n18 @ n18 )
!= n15 )
<= ( ( sk__1 = n8 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl12292]) ).
thf(zip_derived_cl440_3068,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13874,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n8 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13872,zip_derived_cl440]) ).
thf('323',plain,
( ( sk_ != n10 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13874]) ).
thf(zip_derived_cl479_3069,plain,
( ( sum @ n20 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_3070,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13022_3071,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl8098]) ).
thf(zip_derived_cl13082,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl13022]) ).
thf(zip_derived_cl33_3072,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl252_3073,plain,
( ( sum @ n9 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3074,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl412_3075,plain,
( ( sum @ n17 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_3076,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_3077,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3078,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_3079,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13130,plain,
( ( n14
!= ( sum @ n20 @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13082,zip_derived_cl33,zip_derived_cl252,zip_derived_cl12,zip_derived_cl412,zip_derived_cl198,zip_derived_cl33,zip_derived_cl12,zip_derived_cl244]) ).
thf(zip_derived_cl13862,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n18 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl13130]) ).
thf('324',plain,
( ( sk_ != n10 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13862]) ).
thf(zip_derived_cl473_3080,plain,
( ( sum @ n20 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_3081,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12359_3082,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl7390]) ).
thf(zip_derived_cl12398,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl12359]) ).
thf(zip_derived_cl33_3083,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl249_3084,plain,
( ( sum @ n9 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3085,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl349_3086,plain,
( ( sum @ n14 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_3087,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_3088,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3089,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_3090,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12442,plain,
( ( n8
!= ( sum @ n20 @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12398,zip_derived_cl33,zip_derived_cl249,zip_derived_cl12,zip_derived_cl349,zip_derived_cl132,zip_derived_cl33,zip_derived_cl12,zip_derived_cl244]) ).
thf(zip_derived_cl13799,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n15 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl12442]) ).
thf('325',plain,
( ( sk_ != n10 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13799]) ).
thf(zip_derived_cl472_3091,plain,
( ( sum @ n20 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_3092,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9908_3093,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4440]) ).
thf(zip_derived_cl9919,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl9908]) ).
thf(zip_derived_cl33_3094,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3095,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_3096,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3097,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9962,plain,
( ( ( sum @ ( sum @ n9 @ n5 ) @ ( sum @ n3 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9919,zip_derived_cl33,zip_derived_cl12,zip_derived_cl33,zip_derived_cl12]) ).
thf(zip_derived_cl238_3098,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118_3099,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_3100,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11926,plain,
( ( ( sum @ n14 @ n14 )
!= ( sum @ n20 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9962,zip_derived_cl238,zip_derived_cl118,zip_derived_cl244]) ).
thf(zip_derived_cl13789,plain,
( ( ( sum @ n14 @ n14 )
!= n7 )
<= ( ( sk__1 = n4 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl11926]) ).
thf(zip_derived_cl352_3101,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13792,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n4 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13789,zip_derived_cl352]) ).
thf('326',plain,
( ( sk_ != n10 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13792]) ).
thf(zip_derived_cl471_3102,plain,
( ( sum @ n20 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_3103,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12162_3104,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl7123]) ).
thf(zip_derived_cl12193,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl12162]) ).
thf(zip_derived_cl33_3105,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl248_3106,plain,
( ( sum @ n9 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3107,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl328_3108,plain,
( ( sum @ n13 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_3109,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_3110,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3111,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_3112,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12235,plain,
( ( n6
!= ( sum @ n20 @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12193,zip_derived_cl33,zip_derived_cl248,zip_derived_cl12,zip_derived_cl328,zip_derived_cl110,zip_derived_cl33,zip_derived_cl12,zip_derived_cl244]) ).
thf(zip_derived_cl13778,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n14 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl471,zip_derived_cl12235]) ).
thf('327',plain,
( ( sk_ != n10 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13778]) ).
thf(zip_derived_cl470_3113,plain,
( ( sum @ n20 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_3114,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9494_3115,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl4167]) ).
thf(zip_derived_cl9505,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl9494]) ).
thf(zip_derived_cl33_3116,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3117,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_3118,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3119,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9548,plain,
( ( ( sum @ ( sum @ n9 @ n4 ) @ ( sum @ n2 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9505,zip_derived_cl33,zip_derived_cl12,zip_derived_cl33,zip_derived_cl12]) ).
thf(zip_derived_cl237_3120,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97_3121,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_3122,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11779,plain,
( ( ( sum @ n13 @ n13 )
!= ( sum @ n20 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9548,zip_derived_cl237,zip_derived_cl97,zip_derived_cl244]) ).
thf(zip_derived_cl13768,plain,
( ( ( sum @ n13 @ n13 )
!= n5 )
<= ( ( sk__1 = n3 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl11779]) ).
thf(zip_derived_cl330_3123,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13771,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n3 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13768,zip_derived_cl330]) ).
thf('328',plain,
( ( sk__1 != n3 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13771]) ).
thf(zip_derived_cl469_3124,plain,
( ( sum @ n20 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_3125,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11986_3126,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6856]) ).
thf(zip_derived_cl12012,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl11986]) ).
thf(zip_derived_cl33_3127,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl247_3128,plain,
( ( sum @ n9 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3129,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl307_3130,plain,
( ( sum @ n12 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_3131,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_3132,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3133,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_3134,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12054,plain,
( ( n4
!= ( sum @ n20 @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12012,zip_derived_cl33,zip_derived_cl247,zip_derived_cl12,zip_derived_cl307,zip_derived_cl88,zip_derived_cl33,zip_derived_cl12,zip_derived_cl244]) ).
thf(zip_derived_cl13757,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n13 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl469,zip_derived_cl12054]) ).
thf('329',plain,
( ( sk_ != n10 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13757]) ).
thf(zip_derived_cl467_3135,plain,
( ( sum @ n20 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_3136,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11809_3137,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl6589]) ).
thf(zip_derived_cl11831,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl11809]) ).
thf(zip_derived_cl33_3138,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl246_3139,plain,
( ( sum @ n9 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3140,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_3141,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_3142,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_3143,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3144,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_3145,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11873,plain,
( ( n2
!= ( sum @ n20 @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11831,zip_derived_cl33,zip_derived_cl246,zip_derived_cl12,zip_derived_cl286,zip_derived_cl66,zip_derived_cl33,zip_derived_cl12,zip_derived_cl244]) ).
thf(zip_derived_cl13746,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n12 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl11873]) ).
thf('330',plain,
( ( sk_ != n10 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13746]) ).
thf(zip_derived_cl465_3146,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_3147,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11633_3148,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6321]) ).
thf(zip_derived_cl11652,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl11633]) ).
thf(zip_derived_cl33_3149,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_3150,plain,
( ( sum @ n9 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3151,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl265_3152,plain,
( ( sum @ n10 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_3153,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_3154,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3155,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_3156,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11694,plain,
( ( n0
!= ( sum @ n20 @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11652,zip_derived_cl33,zip_derived_cl245,zip_derived_cl12,zip_derived_cl265,zip_derived_cl44,zip_derived_cl33,zip_derived_cl12,zip_derived_cl244]) ).
thf(zip_derived_cl13643,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n11 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl11694]) ).
thf('331',plain,
( ( sk__1 != n11 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13643]) ).
thf(zip_derived_cl473_3157,plain,
( ( sum @ n20 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_3158,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11156_3159,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl5520]) ).
thf(zip_derived_cl11161,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl11156]) ).
thf(zip_derived_cl23_3160,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_3161,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_3162,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_3163,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_3164,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11203,plain,
( ( ( sum @ ( sum @ n20 @ n9 ) @ n8 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11161,zip_derived_cl23,zip_derived_cl2,zip_derived_cl192,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl13798,plain,
( ( ( sum @ n8 @ n8 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl11203]) ).
thf(zip_derived_cl220_3165,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_3166,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_3167,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13800,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n8 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13798,zip_derived_cl220,zip_derived_cl465,zip_derived_cl60]) ).
thf('332',plain,
( ( sk__1 != n8 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13800]) ).
thf(zip_derived_cl452,plain,
( ( sum @ n19 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_3168,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11156_3169,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl5520]) ).
thf(zip_derived_cl11181,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl11156]) ).
thf(zip_derived_cl43_3170,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3171,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_3172,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_3173,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3174,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11224,plain,
( ( ( sum @ ( sum @ n19 @ n9 ) @ n7 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11181,zip_derived_cl43,zip_derived_cl22,zip_derived_cl191,zip_derived_cl43,zip_derived_cl22]) ).
thf(zip_derived_cl13545,plain,
( ( ( sum @ n7 @ n7 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl11224]) ).
thf(zip_derived_cl198_3175,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_3176,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13546,plain,
( ( n14
!= ( sum @ n19 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13545,zip_derived_cl198,zip_derived_cl443]) ).
thf(zip_derived_cl459,plain,
( ( sum @ n19 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13578,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n8 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13546,zip_derived_cl459]) ).
thf('333',plain,
( ( sk__1 != n8 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13578]) ).
thf(zip_derived_cl398_3177,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_3178,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11156_3179,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl5520]) ).
thf(zip_derived_cl11178,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl11156]) ).
thf(zip_derived_cl40_3180,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3181,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_3182,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3183,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11221,plain,
( ( ( sum @ ( sum @ n16 @ n9 ) @ ( sum @ n7 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11178,zip_derived_cl40,zip_derived_cl19,zip_derived_cl40,zip_derived_cl19]) ).
thf(zip_derived_cl209_3184,plain,
( ( sum @ n7 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12305,plain,
( ( ( sum @ ( sum @ n16 @ n9 ) @ n4 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11221,zip_derived_cl209]) ).
thf(zip_derived_cl12806,plain,
( ( ( sum @ ( sum @ n16 @ n9 ) @ n4 )
!= ( sum @ n13 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl12305]) ).
thf(zip_derived_cl389_3185,plain,
( ( sum @ n16 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_3186,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl333,plain,
( ( sum @ n13 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12826,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n8 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12806,zip_derived_cl389,zip_derived_cl132,zip_derived_cl333]) ).
thf('334',plain,
( ( sk__1 != n8 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12826]) ).
thf(zip_derived_cl354_3187,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_3188,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11156_3189,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl5520]) ).
thf(zip_derived_cl11176,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl11156]) ).
thf(zip_derived_cl38_3190,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_3191,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_3192,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_3193,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11219,plain,
( ( ( sum @ ( sum @ n14 @ n9 ) @ ( sum @ n7 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11176,zip_derived_cl38,zip_derived_cl17,zip_derived_cl38,zip_derived_cl17]) ).
thf(zip_derived_cl207,plain,
( ( sum @ n7 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12303,plain,
( ( ( sum @ ( sum @ n14 @ n9 ) @ n2 )
!= ( sum @ ( sum @ n14 @ n16 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11219,zip_derived_cl207]) ).
thf(zip_derived_cl12368,plain,
( ( ( sum @ ( sum @ n14 @ n9 ) @ n2 )
!= ( sum @ n9 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl12303]) ).
thf(zip_derived_cl347_3194,plain,
( ( sum @ n14 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_3195,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl249_3196,plain,
( ( sum @ n9 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12382,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n8 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12368,zip_derived_cl347,zip_derived_cl88,zip_derived_cl249]) ).
thf('335',plain,
( ( sk__1 != n8 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12382]) ).
thf(zip_derived_cl731_3197,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11156_3198,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl5520]) ).
thf(zip_derived_cl11175,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl11156]) ).
thf(zip_derived_cl37_3199,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3200,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3201,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3202,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11218,plain,
( ( ( sum @ ( sum @ n13 @ n9 ) @ ( sum @ n7 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11175,zip_derived_cl37,zip_derived_cl16,zip_derived_cl37,zip_derived_cl16]) ).
thf(zip_derived_cl326,plain,
( ( sum @ n13 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl206,plain,
( ( sum @ n7 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_3203,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_3204,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl207_3205,plain,
( ( sum @ n7 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12299,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n8 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11218,zip_derived_cl326,zip_derived_cl206,zip_derived_cl66,zip_derived_cl332,zip_derived_cl207]) ).
thf('336',plain,
( ( sk__1 != n8 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12299]) ).
thf(zip_derived_cl730_3206,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11156_3207,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl5520]) ).
thf(zip_derived_cl11174,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl11156]) ).
thf(zip_derived_cl36_3208,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3209,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3210,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3211,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11217,plain,
( ( ( sum @ ( sum @ n12 @ n9 ) @ ( sum @ n7 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11174,zip_derived_cl36,zip_derived_cl15,zip_derived_cl36,zip_derived_cl15]) ).
thf(zip_derived_cl305_3212,plain,
( ( sum @ n12 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl205_3213,plain,
( ( sum @ n7 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_3214,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_3215,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl165_3216,plain,
( ( sum @ n5 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12297,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n8 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11217,zip_derived_cl305,zip_derived_cl205,zip_derived_cl44,zip_derived_cl310,zip_derived_cl165]) ).
thf('337',plain,
( ( sk__1 != n8 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12297]) ).
thf(zip_derived_cl330_3217,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl722_3218,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11156_3219,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl5520]) ).
thf(zip_derived_cl11166,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl11156]) ).
thf(zip_derived_cl28_3220,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_3221,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3222,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl197_3223,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_3224,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3225,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_3226,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11208,plain,
( ( ( sum @ n13 @ n13 )
!= ( sum @ n10 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11166,zip_derived_cl28,zip_derived_cl137,zip_derived_cl7,zip_derived_cl197,zip_derived_cl28,zip_derived_cl7,zip_derived_cl134]) ).
thf(zip_derived_cl12144,plain,
( ( n5
!= ( sum @ n10 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl11208]) ).
thf(zip_derived_cl270_3227,plain,
( ( sum @ n10 @ n16 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12153,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n8 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12144,zip_derived_cl270]) ).
thf('338',plain,
( ( sk__1 != n8 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12153]) ).
thf(zip_derived_cl286_3228,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720_3229,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11156_3230,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl5520]) ).
thf(zip_derived_cl11164,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl11156]) ).
thf(zip_derived_cl26_3231,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95_3232,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3233,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl195_3234,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3235,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3236,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_3237,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl186_3238,plain,
( ( sum @ n6 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11206,plain,
( ( ( sum @ n11 @ n11 )
!= n1 )
<= ( ( sk__1 = n8 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11164,zip_derived_cl26,zip_derived_cl95,zip_derived_cl5,zip_derived_cl195,zip_derived_cl26,zip_derived_cl5,zip_derived_cl90,zip_derived_cl186]) ).
thf(zip_derived_cl11795,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n8 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl286,zip_derived_cl11206]) ).
thf('339',plain,
( ( sk__1 != n8 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11795]) ).
thf(zip_derived_cl264_3239,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_3240,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11156_3241,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ n7 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl5520]) ).
thf(zip_derived_cl11163,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl11156]) ).
thf(zip_derived_cl25_3242,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_3243,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3244,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_3245,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_3246,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3247,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3248,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144_3249,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11205,plain,
( ( ( sum @ n10 @ n10 )
!= n20 )
<= ( ( sk__1 = n8 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11163,zip_derived_cl25,zip_derived_cl74,zip_derived_cl4,zip_derived_cl194,zip_derived_cl25,zip_derived_cl4,zip_derived_cl68,zip_derived_cl144]) ).
thf(zip_derived_cl11619,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n8 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl11205]) ).
thf('340',plain,
( ( sk__1 != n8 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11619]) ).
thf(zip_derived_cl725_3250,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl2273_3251,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n9 ) @ ( sum @ ( pred @ n8 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n8 ) @ n9 ) ) )
<= ( sk__1 = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl786,zip_derived_cl10,zip_derived_cl10]) ).
thf(zip_derived_cl2282,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n9 ) @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ ( sum @ ( pred @ n8 ) @ n9 ) ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl2273]) ).
thf(zip_derived_cl10_3252,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3253,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2324,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n9 ) @ ( sum @ ( pred @ n8 ) @ n9 ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ n9 ) @ ( sum @ ( pred @ n8 ) @ n9 ) ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2282,zip_derived_cl10,zip_derived_cl10]) ).
thf('341',plain,
( ( sk__1 != n8 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2324]) ).
thf(zip_derived_cl484_3254,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl398_3255,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_3256,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9494_3257,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl4167]) ).
thf(zip_derived_cl9512,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl9494]) ).
thf(zip_derived_cl40_3258,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3259,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_3260,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3261,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9555,plain,
( ( ( sum @ ( sum @ n16 @ n4 ) @ ( sum @ n2 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9512,zip_derived_cl40,zip_derived_cl19,zip_derived_cl40,zip_derived_cl19]) ).
thf(zip_derived_cl104_3262,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11786,plain,
( ( ( sum @ ( sum @ n16 @ n4 ) @ n20 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9555,zip_derived_cl104]) ).
thf(zip_derived_cl12801,plain,
( ( ( sum @ ( sum @ n16 @ n4 ) @ n20 )
!= ( sum @ n13 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl11786]) ).
thf(zip_derived_cl384_3263,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl323_3264,plain,
( ( sum @ n13 @ n6 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12817,plain,
( ( ( sum @ n20 @ n20 )
!= n19 )
<= ( ( sk__1 = n3 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12801,zip_derived_cl384,zip_derived_cl323]) ).
thf(zip_derived_cl13926,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n3 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl12817]) ).
thf('342',plain,
( ( sk__1 != n3 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13926]) ).
thf(zip_derived_cl734_3265,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13325_3266,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl8452]) ).
thf(zip_derived_cl13461,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n0 ) @ ( sum @ n19 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl13325]) ).
thf(zip_derived_cl40_3267,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_3268,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3269,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_3270,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3271,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl398_3272,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl336_3273,plain,
( ( sum @ n13 @ n19 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13503,plain,
( ( ( sum @ n16 @ ( sum @ n19 @ n18 ) )
!= n11 )
<= ( ( sk__1 = n20 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13461,zip_derived_cl40,zip_derived_cl380,zip_derived_cl19,zip_derived_cl40,zip_derived_cl19,zip_derived_cl398,zip_derived_cl336]) ).
thf(zip_derived_cl461_3274,plain,
( ( sum @ n19 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl396_3275,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13796,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n20 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13503,zip_derived_cl461,zip_derived_cl396]) ).
thf('343',plain,
( ( sk_ != n17 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13796]) ).
thf(zip_derived_cl734_3276,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13271_3277,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl8276]) ).
thf(zip_derived_cl13343,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl13271]) ).
thf(zip_derived_cl40_3278,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl400_3279,plain,
( ( sum @ n16 @ n20 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3280,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_3281,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374_3282,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_3283,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3284,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl398_3285,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334_3286,plain,
( ( sum @ n13 @ n17 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13399,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n19 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13343,zip_derived_cl40,zip_derived_cl400,zip_derived_cl19,zip_derived_cl440,zip_derived_cl374,zip_derived_cl40,zip_derived_cl19,zip_derived_cl398,zip_derived_cl334]) ).
thf('344',plain,
( ( sk_ != n17 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13399]) ).
thf(zip_derived_cl734_3287,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13022_3288,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl8098]) ).
thf(zip_derived_cl13089,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl13022]) ).
thf(zip_derived_cl40_3289,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl399_3290,plain,
( ( sum @ n16 @ n19 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3291,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl419_3292,plain,
( ( sum @ n17 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_3293,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_3294,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3295,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl398_3296,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_3297,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13143,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n18 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13089,zip_derived_cl40,zip_derived_cl399,zip_derived_cl19,zip_derived_cl419,zip_derived_cl352,zip_derived_cl40,zip_derived_cl19,zip_derived_cl398,zip_derived_cl332]) ).
thf('345',plain,
( ( sk_ != n17 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13143]) ).
thf(zip_derived_cl734_3298,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12359_3299,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl7390]) ).
thf(zip_derived_cl12405,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl12359]) ).
thf(zip_derived_cl40_3300,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3301,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_3302,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3303,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12454,plain,
( ( ( sum @ ( sum @ n16 @ n16 ) @ ( sum @ n14 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12405,zip_derived_cl40,zip_derived_cl19,zip_derived_cl40,zip_derived_cl19]) ).
thf(zip_derived_cl396_3304,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl356_3305,plain,
( ( sum @ n14 @ n18 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_3306,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl398_3307,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_3308,plain,
( ( sum @ n13 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12956,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n15 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12454,zip_derived_cl396,zip_derived_cl356,zip_derived_cl286,zip_derived_cl398,zip_derived_cl326]) ).
thf('346',plain,
( ( sk_ != n17 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12956]) ).
thf(zip_derived_cl398_3309,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_3310,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12162_3311,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl7123]) ).
thf(zip_derived_cl12200,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl12162]) ).
thf(zip_derived_cl40_3312,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3313,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_3314,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3315,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12246,plain,
( ( ( sum @ ( sum @ n16 @ n15 ) @ ( sum @ n13 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12200,zip_derived_cl40,zip_derived_cl19,zip_derived_cl40,zip_derived_cl19]) ).
thf(zip_derived_cl395_3316,plain,
( ( sum @ n16 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl335_3317,plain,
( ( sum @ n13 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_3318,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12767,plain,
( ( n20
!= ( sum @ ( sum @ n16 @ n18 ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12246,zip_derived_cl395,zip_derived_cl335,zip_derived_cl264]) ).
thf(zip_derived_cl12814,plain,
( ( n20
!= ( sum @ n13 @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl12767]) ).
thf(zip_derived_cl324_3319,plain,
( ( sum @ n13 @ n7 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12842,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n14 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12814,zip_derived_cl324]) ).
thf('347',plain,
( ( sk_ != n17 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12842]) ).
thf(zip_derived_cl398_3320,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_3321,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11986_3322,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6856]) ).
thf(zip_derived_cl12019,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl11986]) ).
thf(zip_derived_cl40_3323,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3324,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_3325,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3326,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12064,plain,
( ( ( sum @ ( sum @ n16 @ n14 ) @ ( sum @ n12 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12019,zip_derived_cl40,zip_derived_cl19,zip_derived_cl40,zip_derived_cl19]) ).
thf(zip_derived_cl314_3327,plain,
( ( sum @ n12 @ n18 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12752,plain,
( ( ( sum @ ( sum @ n16 @ n14 ) @ n9 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12064,zip_derived_cl314]) ).
thf(zip_derived_cl12812,plain,
( ( ( sum @ ( sum @ n16 @ n14 ) @ n9 )
!= ( sum @ n13 @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl12752]) ).
thf(zip_derived_cl394_3328,plain,
( ( sum @ n16 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_3329,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_3330,plain,
( ( sum @ n13 @ n5 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12838,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n13 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12812,zip_derived_cl394,zip_derived_cl242,zip_derived_cl322]) ).
thf('348',plain,
( ( sk_ != n17 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12838]) ).
thf(zip_derived_cl398_3331,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_3332,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11809_3333,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl6589]) ).
thf(zip_derived_cl11838,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl11809]) ).
thf(zip_derived_cl40_3334,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3335,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_3336,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3337,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11882,plain,
( ( ( sum @ ( sum @ n16 @ n13 ) @ ( sum @ n11 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11838,zip_derived_cl40,zip_derived_cl19,zip_derived_cl40,zip_derived_cl19]) ).
thf(zip_derived_cl293_3338,plain,
( ( sum @ n11 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12728,plain,
( ( ( sum @ ( sum @ n16 @ n13 ) @ n8 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11882,zip_derived_cl293]) ).
thf(zip_derived_cl12811,plain,
( ( ( sum @ ( sum @ n16 @ n13 ) @ n8 )
!= ( sum @ n13 @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl12728]) ).
thf(zip_derived_cl393_3339,plain,
( ( sum @ n16 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_3340,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_3341,plain,
( ( sum @ n13 @ n3 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12836,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n12 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12811,zip_derived_cl393,zip_derived_cl220,zip_derived_cl320]) ).
thf('349',plain,
( ( sk_ != n17 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12836]) ).
thf(zip_derived_cl398_3342,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_3343,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11633_3344,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6321]) ).
thf(zip_derived_cl11659,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl11633]) ).
thf(zip_derived_cl40_3345,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3346,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_3347,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3348,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11702,plain,
( ( ( sum @ ( sum @ n16 @ n12 ) @ ( sum @ n10 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11659,zip_derived_cl40,zip_derived_cl19,zip_derived_cl40,zip_derived_cl19]) ).
thf(zip_derived_cl272_3349,plain,
( ( sum @ n10 @ n18 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12531,plain,
( ( ( sum @ ( sum @ n16 @ n12 ) @ n7 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11702,zip_derived_cl272]) ).
thf(zip_derived_cl12809,plain,
( ( ( sum @ ( sum @ n16 @ n12 ) @ n7 )
!= ( sum @ n13 @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl12531]) ).
thf(zip_derived_cl392_3350,plain,
( ( sum @ n16 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_3351,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl318_3352,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12832,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n11 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12809,zip_derived_cl392,zip_derived_cl198,zip_derived_cl318]) ).
thf('350',plain,
( ( sk__1 != n11 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12832]) ).
thf(zip_derived_cl398_3353,plain,
( ( sum @ n16 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_3354,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9908_3355,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4440]) ).
thf(zip_derived_cl9926,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl9908]) ).
thf(zip_derived_cl40_3356,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3357,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_3358,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3359,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9969,plain,
( ( ( sum @ ( sum @ n16 @ n5 ) @ ( sum @ n3 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9926,zip_derived_cl40,zip_derived_cl19,zip_derived_cl40,zip_derived_cl19]) ).
thf(zip_derived_cl125_3360,plain,
( ( sum @ n3 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11935,plain,
( ( ( sum @ ( sum @ n16 @ n5 ) @ n0 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9969,zip_derived_cl125]) ).
thf(zip_derived_cl12802,plain,
( ( ( sum @ ( sum @ n16 @ n5 ) @ n0 )
!= ( sum @ n13 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl11935]) ).
thf(zip_derived_cl385_3361,plain,
( ( sum @ n16 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_3362,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl325_3363,plain,
( ( sum @ n13 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12818,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n4 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12802,zip_derived_cl385,zip_derived_cl44,zip_derived_cl325]) ).
thf('351',plain,
( ( sk_ != n17 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12818]) ).
thf(zip_derived_cl484_3364,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725_3365,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11809_3366,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl6589]) ).
thf(zip_derived_cl11829,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl11809]) ).
thf(zip_derived_cl31_3367,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl204_3368,plain,
( ( sum @ n7 @ n13 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3369,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl284_3370,plain,
( ( sum @ n11 @ n9 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_3371,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3372,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_3373,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11871,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ n16 @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11829,zip_derived_cl31,zip_derived_cl204,zip_derived_cl10,zip_derived_cl284,zip_derived_cl31,zip_derived_cl10,zip_derived_cl200]) ).
thf(zip_derived_cl13915,plain,
( ( n19
!= ( sum @ n16 @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl11871]) ).
thf(zip_derived_cl383_3374,plain,
( ( sum @ n16 @ n3 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13935,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n12 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13915,zip_derived_cl383]) ).
thf('352',plain,
( ( sk__1 != n12 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13935]) ).
thf(zip_derived_cl477_3375,plain,
( ( sum @ n20 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_3376,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11809_3377,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl6589]) ).
thf(zip_derived_cl11821,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl11809]) ).
thf(zip_derived_cl23_3378,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_3379,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276_3380,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_3381,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_3382,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11863,plain,
( ( ( sum @ ( sum @ n20 @ n13 ) @ n12 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11821,zip_derived_cl23,zip_derived_cl2,zip_derived_cl276,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl13840,plain,
( ( ( sum @ n12 @ n12 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl11863]) ).
thf(zip_derived_cl308_3383,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_3384,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_3385,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13842,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n12 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13840,zip_derived_cl308,zip_derived_cl465,zip_derived_cl47]) ).
thf('353',plain,
( ( sk__1 != n12 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13842]) ).
thf(zip_derived_cl456_3386,plain,
( ( sum @ n19 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_3387,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11809_3388,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl6589]) ).
thf(zip_derived_cl11841,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl11809]) ).
thf(zip_derived_cl43_3389,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3390,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl275_3391,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_3392,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3393,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11885,plain,
( ( ( sum @ ( sum @ n19 @ n13 ) @ n11 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11841,zip_derived_cl43,zip_derived_cl22,zip_derived_cl275,zip_derived_cl43,zip_derived_cl22]) ).
thf(zip_derived_cl13554,plain,
( ( ( sum @ n11 @ n11 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl11885]) ).
thf(zip_derived_cl286_3394,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_3395,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl446_3396,plain,
( ( sum @ n19 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13555,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n12 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13554,zip_derived_cl286,zip_derived_cl443,zip_derived_cl446]) ).
thf('354',plain,
( ( sk__1 != n12 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13555]) ).
thf(zip_derived_cl418_3397,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl722_3398,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11809_3399,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl6589]) ).
thf(zip_derived_cl11826,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl11809]) ).
thf(zip_derived_cl28_3400,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141_3401,plain,
( ( sum @ n4 @ n13 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3402,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl281_3403,plain,
( ( sum @ n11 @ n6 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_3404,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3405,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_3406,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl257_3407,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11868,plain,
( ( ( sum @ n17 @ n17 )
!= n13 )
<= ( ( sk__1 = n12 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11826,zip_derived_cl28,zip_derived_cl141,zip_derived_cl7,zip_derived_cl281,zip_derived_cl28,zip_derived_cl7,zip_derived_cl134,zip_derived_cl257]) ).
thf(zip_derived_cl12994,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n12 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl11868]) ).
thf('355',plain,
( ( sk__1 != n12 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12994]) ).
thf(zip_derived_cl374_3408,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720_3409,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11809_3410,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl6589]) ).
thf(zip_derived_cl11824,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl11809]) ).
thf(zip_derived_cl26_3411,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99_3412,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3413,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl279_3414,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3415,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3416,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_3417,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl173_3418,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11866,plain,
( ( ( sum @ n15 @ n15 )
!= n9 )
<= ( ( sk__1 = n12 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11824,zip_derived_cl26,zip_derived_cl99,zip_derived_cl5,zip_derived_cl279,zip_derived_cl26,zip_derived_cl5,zip_derived_cl90,zip_derived_cl173]) ).
thf(zip_derived_cl12553,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n12 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl11866]) ).
thf('356',plain,
( ( sk__1 != n12 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12553]) ).
thf(zip_derived_cl732_3419,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11809_3420,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl6589]) ).
thf(zip_derived_cl11836,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl11809]) ).
thf(zip_derived_cl38_3421,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_3422,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_3423,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_3424,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11880,plain,
( ( ( sum @ ( sum @ n14 @ n13 ) @ ( sum @ n11 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11836,zip_derived_cl38,zip_derived_cl17,zip_derived_cl38,zip_derived_cl17]) ).
thf(zip_derived_cl351_3425,plain,
( ( sum @ n14 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl291_3426,plain,
( ( sum @ n11 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_3427,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_3428,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl236_3429,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12546,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n12 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11880,zip_derived_cl351,zip_derived_cl291,zip_derived_cl176,zip_derived_cl354,zip_derived_cl236]) ).
thf('357',plain,
( ( sk__1 != n12 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12546]) ).
thf(zip_derived_cl731_3430,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11809_3431,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl6589]) ).
thf(zip_derived_cl11835,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl11809]) ).
thf(zip_derived_cl37_3432,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3433,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3434,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3435,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11879,plain,
( ( ( sum @ ( sum @ n13 @ n13 ) @ ( sum @ n11 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11835,zip_derived_cl37,zip_derived_cl16,zip_derived_cl37,zip_derived_cl16]) ).
thf(zip_derived_cl330_3436,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_3437,plain,
( ( sum @ n11 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_3438,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_3439,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_3440,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12544,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n12 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11879,zip_derived_cl330,zip_derived_cl290,zip_derived_cl154,zip_derived_cl332,zip_derived_cl194]) ).
thf('358',plain,
( ( sk__1 != n12 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12544]) ).
thf(zip_derived_cl352_3441,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_3442,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11809_3443,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl6589]) ).
thf(zip_derived_cl11823,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl11809]) ).
thf(zip_derived_cl25_3444,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_3445,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3446,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278_3447,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_3448,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3449,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3450,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl131_3451,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11865,plain,
( ( ( sum @ n14 @ n14 )
!= n7 )
<= ( ( sk__1 = n12 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11823,zip_derived_cl25,zip_derived_cl78,zip_derived_cl4,zip_derived_cl278,zip_derived_cl25,zip_derived_cl4,zip_derived_cl68,zip_derived_cl131]) ).
thf(zip_derived_cl12345,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n12 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl11865]) ).
thf('359',plain,
( ( sk__1 != n12 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12345]) ).
thf(zip_derived_cl310_3452,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730_3453,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11809_3454,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl6589]) ).
thf(zip_derived_cl11834,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl11809]) ).
thf(zip_derived_cl36_3455,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3456,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl289_3457,plain,
( ( sum @ n11 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3458,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3459,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11878,plain,
( ( ( sum @ ( sum @ n12 @ n13 ) @ n4 )
!= ( sum @ ( sum @ n12 @ n14 ) @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11834,zip_derived_cl36,zip_derived_cl15,zip_derived_cl289,zip_derived_cl36,zip_derived_cl15]) ).
thf(zip_derived_cl11990,plain,
( ( ( sum @ ( sum @ n12 @ n13 ) @ n4 )
!= ( sum @ n5 @ n3 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl11878]) ).
thf(zip_derived_cl309_3460,plain,
( ( sum @ n12 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_3461,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl152_3462,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11997,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n12 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11990,zip_derived_cl309,zip_derived_cl132,zip_derived_cl152]) ).
thf('360',plain,
( ( sk__1 != n12 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11997]) ).
thf(zip_derived_cl737_3463,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13271_3464,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl8276]) ).
thf(zip_derived_cl13346,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl13271]) ).
thf(zip_derived_cl43_3465,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3466,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl422_3467,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_3468,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3469,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_3470,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13405,plain,
( ( ( sum @ ( sum @ n19 @ n20 ) @ n18 )
!= ( sum @ n19 @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13346,zip_derived_cl43,zip_derived_cl22,zip_derived_cl422,zip_derived_cl43,zip_derived_cl22,zip_derived_cl443]) ).
thf(zip_derived_cl463_3471,plain,
( ( sum @ n19 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_3472,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl460_3473,plain,
( ( sum @ n19 @ n17 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14035,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n19 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13405,zip_derived_cl463,zip_derived_cl440,zip_derived_cl460]) ).
thf('361',plain,
( ( sk_ != n20 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl14035]) ).
thf(zip_derived_cl462_3474,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_3475,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13022_3476,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl8098]) ).
thf(zip_derived_cl13092,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl13022]) ).
thf(zip_derived_cl43_3477,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3478,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl401_3479,plain,
( ( sum @ n17 @ n0 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_3480,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3481,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13148,plain,
( ( ( sum @ ( sum @ n19 @ n19 ) @ n17 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13092,zip_derived_cl43,zip_derived_cl22,zip_derived_cl401,zip_derived_cl43,zip_derived_cl22]) ).
thf(zip_derived_cl13617,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl13148]) ).
thf(zip_derived_cl418_3482,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_3483,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl458,plain,
( ( sum @ n19 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13638,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n18 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13617,zip_derived_cl418,zip_derived_cl443,zip_derived_cl458]) ).
thf('362',plain,
( ( sk_ != n20 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13638]) ).
thf(zip_derived_cl459_3484,plain,
( ( sum @ n19 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_3485,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12359_3486,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl7390]) ).
thf(zip_derived_cl12408,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl12359]) ).
thf(zip_derived_cl43_3487,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3488,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl338_3489,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_3490,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3491,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12457,plain,
( ( ( sum @ ( sum @ n19 @ n16 ) @ n14 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12408,zip_derived_cl43,zip_derived_cl22,zip_derived_cl338,zip_derived_cl43,zip_derived_cl22]) ).
thf(zip_derived_cl13573,plain,
( ( ( sum @ n14 @ n14 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl12457]) ).
thf(zip_derived_cl352_3492,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_3493,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl452_3494,plain,
( ( sum @ n19 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13574,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n15 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13573,zip_derived_cl352,zip_derived_cl443,zip_derived_cl452]) ).
thf('363',plain,
( ( sk_ != n20 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13574]) ).
thf(zip_derived_cl448_3495,plain,
( ( sum @ n19 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_3496,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9908_3497,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4440]) ).
thf(zip_derived_cl9929,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl9908]) ).
thf(zip_derived_cl43_3498,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3499,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107_3500,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_3501,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3502,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9972,plain,
( ( ( sum @ ( sum @ n19 @ n5 ) @ n3 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9929,zip_derived_cl43,zip_derived_cl22,zip_derived_cl107,zip_derived_cl43,zip_derived_cl22]) ).
thf(zip_derived_cl13537,plain,
( ( ( sum @ n3 @ n3 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl9972]) ).
thf(zip_derived_cl110_3503,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_3504,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13538,plain,
( ( n6
!= ( sum @ n19 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13537,zip_derived_cl110,zip_derived_cl443]) ).
thf(zip_derived_cl451_3505,plain,
( ( sum @ n19 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13567,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n4 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13538,zip_derived_cl451]) ).
thf('364',plain,
( ( sk_ != n20 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13567]) ).
thf(zip_derived_cl458_3506,plain,
( ( sum @ n19 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_3507,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12162_3508,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl7123]) ).
thf(zip_derived_cl12203,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl12162]) ).
thf(zip_derived_cl43_3509,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3510,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl317_3511,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_3512,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3513,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12249,plain,
( ( ( sum @ ( sum @ n19 @ n15 ) @ n13 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12203,zip_derived_cl43,zip_derived_cl22,zip_derived_cl317,zip_derived_cl43,zip_derived_cl22]) ).
thf(zip_derived_cl13564,plain,
( ( ( sum @ n13 @ n13 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl458,zip_derived_cl12249]) ).
thf(zip_derived_cl330_3514,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_3515,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_3516,plain,
( ( sum @ n19 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13565,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n14 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13564,zip_derived_cl330,zip_derived_cl443,zip_derived_cl450]) ).
thf('365',plain,
( ( sk_ != n20 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13565]) ).
thf(zip_derived_cl447_3517,plain,
( ( sum @ n19 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_3518,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9494_3519,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl4167]) ).
thf(zip_derived_cl9515,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl9494]) ).
thf(zip_derived_cl43_3520,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3521,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_3522,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_3523,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3524,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9558,plain,
( ( ( sum @ ( sum @ n19 @ n4 ) @ n2 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9515,zip_derived_cl43,zip_derived_cl22,zip_derived_cl86,zip_derived_cl43,zip_derived_cl22]) ).
thf(zip_derived_cl13535,plain,
( ( ( sum @ n2 @ n2 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl9558]) ).
thf(zip_derived_cl88_3525,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_3526,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13536,plain,
( ( n4
!= ( sum @ n19 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13535,zip_derived_cl88,zip_derived_cl443]) ).
thf(zip_derived_cl449_3527,plain,
( ( sum @ n19 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13562,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n3 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13536,zip_derived_cl449]) ).
thf('366',plain,
( ( sk__1 != n3 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13562]) ).
thf(zip_derived_cl457_3528,plain,
( ( sum @ n19 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_3529,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11986_3530,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6856]) ).
thf(zip_derived_cl12022,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl11986]) ).
thf(zip_derived_cl43_3531,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3532,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl296_3533,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_3534,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3535,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12067,plain,
( ( ( sum @ ( sum @ n19 @ n14 ) @ n12 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12022,zip_derived_cl43,zip_derived_cl22,zip_derived_cl296,zip_derived_cl43,zip_derived_cl22]) ).
thf(zip_derived_cl13557,plain,
( ( ( sum @ n12 @ n12 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl12067]) ).
thf(zip_derived_cl308_3536,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_3537,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_3538,plain,
( ( sum @ n19 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13558,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n13 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13557,zip_derived_cl308,zip_derived_cl443,zip_derived_cl448]) ).
thf('367',plain,
( ( sk_ != n20 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13558]) ).
thf(zip_derived_cl455_3539,plain,
( ( sum @ n19 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_3540,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11633_3541,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6321]) ).
thf(zip_derived_cl11662,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl11633]) ).
thf(zip_derived_cl43_3542,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3543,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl254_3544,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_3545,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3546,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11705,plain,
( ( ( sum @ ( sum @ n19 @ n12 ) @ n10 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11662,zip_derived_cl43,zip_derived_cl22,zip_derived_cl254,zip_derived_cl43,zip_derived_cl22]) ).
thf(zip_derived_cl13551,plain,
( ( ( sum @ n10 @ n10 )
!= ( sum @ ( sum @ n19 @ n0 ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl11705]) ).
thf(zip_derived_cl264_3547,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_3548,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl444_3549,plain,
( ( sum @ n19 @ n1 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13552,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n11 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13551,zip_derived_cl264,zip_derived_cl443,zip_derived_cl444]) ).
thf('368',plain,
( ( sk__1 != n11 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13552]) ).
thf(zip_derived_cl737_3550,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl3532_3551,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ ( pred @ n20 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n20 ) @ n0 ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl988,zip_derived_cl22,zip_derived_cl22]) ).
thf(zip_derived_cl3553,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n0 ) @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ ( sum @ ( pred @ n20 ) @ n0 ) ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl3532]) ).
thf(zip_derived_cl22_3552,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3553,plain,
( ( succ @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3595,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n0 ) @ ( sum @ ( pred @ n20 ) @ n0 ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ n0 ) @ ( sum @ ( pred @ n20 ) @ n0 ) ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3553,zip_derived_cl22,zip_derived_cl22]) ).
thf('369',plain,
( ( sk_ != n20 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3595]) ).
thf(zip_derived_cl478_3554,plain,
( ( sum @ n20 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_3555,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11986_3556,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6856]) ).
thf(zip_derived_cl12002,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl11986]) ).
thf(zip_derived_cl23_3557,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_3558,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_3559,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_3560,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_3561,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12044,plain,
( ( ( sum @ ( sum @ n20 @ n14 ) @ n13 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12002,zip_derived_cl23,zip_derived_cl2,zip_derived_cl297,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl13851,plain,
( ( ( sum @ n13 @ n13 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl12044]) ).
thf(zip_derived_cl330_3562,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_3563,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_3564,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13853,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n13 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13851,zip_derived_cl330,zip_derived_cl465,zip_derived_cl49]) ).
thf('370',plain,
( ( sk__1 != n13 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13853]) ).
thf(zip_derived_cl440_3565,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl722_3566,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11986_3567,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6856]) ).
thf(zip_derived_cl12007,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl11986]) ).
thf(zip_derived_cl28_3568,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142_3569,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3570,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl302_3571,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_3572,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3573,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_3574,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl259_3575,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12049,plain,
( ( ( sum @ n18 @ n18 )
!= n15 )
<= ( ( sk__1 = n13 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12007,zip_derived_cl28,zip_derived_cl142,zip_derived_cl7,zip_derived_cl302,zip_derived_cl28,zip_derived_cl7,zip_derived_cl134,zip_derived_cl259]) ).
thf(zip_derived_cl13242,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n13 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl12049]) ).
thf('371',plain,
( ( sk__1 != n13 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13242]) ).
thf(zip_derived_cl396_3576,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720_3577,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11986_3578,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6856]) ).
thf(zip_derived_cl12005,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl11986]) ).
thf(zip_derived_cl26_3579,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100_3580,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3581,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl300_3582,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3583,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3584,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_3585,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl175_3586,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12047,plain,
( ( ( sum @ n16 @ n16 )
!= n11 )
<= ( ( sk__1 = n13 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12005,zip_derived_cl26,zip_derived_cl100,zip_derived_cl5,zip_derived_cl300,zip_derived_cl26,zip_derived_cl5,zip_derived_cl90,zip_derived_cl175]) ).
thf(zip_derived_cl12779,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n13 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl12047]) ).
thf('372',plain,
( ( sk__1 != n13 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12779]) ).
thf(zip_derived_cl732_3587,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11986_3588,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6856]) ).
thf(zip_derived_cl12017,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl11986]) ).
thf(zip_derived_cl38_3589,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_3590,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_3591,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_3592,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12062,plain,
( ( ( sum @ ( sum @ n14 @ n14 ) @ ( sum @ n12 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12017,zip_derived_cl38,zip_derived_cl17,zip_derived_cl38,zip_derived_cl17]) ).
thf(zip_derived_cl352_3593,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl312_3594,plain,
( ( sum @ n12 @ n16 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_3595,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_3596,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl238_3597,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12748,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n13 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12062,zip_derived_cl352,zip_derived_cl312,zip_derived_cl198,zip_derived_cl354,zip_derived_cl238]) ).
thf('373',plain,
( ( sk__1 != n13 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12748]) ).
thf(zip_derived_cl385_3598,plain,
( ( sum @ n16 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725_3599,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11986_3600,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6856]) ).
thf(zip_derived_cl12010,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl11986]) ).
thf(zip_derived_cl31_3601,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl205_3602,plain,
( ( sum @ n7 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3603,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl305_3604,plain,
( ( sum @ n12 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_3605,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_3606,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3607,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_3608,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12052,plain,
( ( n0
!= ( sum @ n16 @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12010,zip_derived_cl31,zip_derived_cl205,zip_derived_cl10,zip_derived_cl305,zip_derived_cl44,zip_derived_cl31,zip_derived_cl10,zip_derived_cl200]) ).
thf(zip_derived_cl12712,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n13 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl12052]) ).
thf('374',plain,
( ( sk__1 != n13 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12712]) ).
thf(zip_derived_cl374_3609,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_3610,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11986_3611,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6856]) ).
thf(zip_derived_cl12004,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl11986]) ).
thf(zip_derived_cl25_3612,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_3613,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3614,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_3615,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_3616,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3617,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3618,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl133_3619,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12046,plain,
( ( ( sum @ n15 @ n15 )
!= n9 )
<= ( ( sk__1 = n13 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12004,zip_derived_cl25,zip_derived_cl79,zip_derived_cl4,zip_derived_cl299,zip_derived_cl25,zip_derived_cl4,zip_derived_cl68,zip_derived_cl133]) ).
thf(zip_derived_cl12556,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n13 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl12046]) ).
thf('375',plain,
( ( sk__1 != n13 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12556]) ).
thf(zip_derived_cl332_3620,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731_3621,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11986_3622,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6856]) ).
thf(zip_derived_cl12016,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl11986]) ).
thf(zip_derived_cl37_3623,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3624,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl311_3625,plain,
( ( sum @ n12 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3626,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3627,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12061,plain,
( ( ( sum @ ( sum @ n13 @ n14 ) @ n6 )
!= ( sum @ ( sum @ n13 @ n15 ) @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12016,zip_derived_cl37,zip_derived_cl16,zip_derived_cl311,zip_derived_cl37,zip_derived_cl16]) ).
thf(zip_derived_cl12168,plain,
( ( ( sum @ ( sum @ n13 @ n14 ) @ n6 )
!= ( sum @ n7 @ n5 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl12061]) ).
thf(zip_derived_cl331_3628,plain,
( ( sum @ n13 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_3629,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl196_3630,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12177,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n13 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12168,zip_derived_cl331,zip_derived_cl176,zip_derived_cl196]) ).
thf('376',plain,
( ( sk__1 != n13 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12177]) ).
thf(zip_derived_cl730_3631,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl2759_3632,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ ( pred @ n13 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n13 ) @ n14 ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl849,zip_derived_cl15,zip_derived_cl15]) ).
thf(zip_derived_cl2773,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n14 ) @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ ( sum @ ( pred @ n13 ) @ n14 ) ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl2759]) ).
thf(zip_derived_cl15_3633,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3634,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2815,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n14 ) @ ( sum @ ( pred @ n13 ) @ n14 ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ n14 ) @ ( sum @ ( pred @ n13 ) @ n14 ) ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2773,zip_derived_cl15,zip_derived_cl15]) ).
thf('377',plain,
( ( sk__1 != n13 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2815]) ).
thf(zip_derived_cl484_3635,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl722_3636,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12359_3637,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl7390]) ).
thf(zip_derived_cl12393,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl12359]) ).
thf(zip_derived_cl28_3638,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144_3639,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3640,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl344_3641,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_3642,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3643,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_3644,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl263_3645,plain,
( ( sum @ n10 @ n9 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12435,plain,
( ( ( sum @ n20 @ n20 )
!= n19 )
<= ( ( sk__1 = n15 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12393,zip_derived_cl28,zip_derived_cl144,zip_derived_cl7,zip_derived_cl344,zip_derived_cl28,zip_derived_cl7,zip_derived_cl134,zip_derived_cl263]) ).
thf(zip_derived_cl13923,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n15 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl12435]) ).
thf('378',plain,
( ( sk_ != n5 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13923]) ).
thf(zip_derived_cl462_3646,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl722_3647,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12162_3648,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl7123]) ).
thf(zip_derived_cl12188,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl12162]) ).
thf(zip_derived_cl28_3649,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143_3650,plain,
( ( sum @ n4 @ n15 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3651,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl323_3652,plain,
( ( sum @ n13 @ n6 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_3653,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3654,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_3655,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl261_3656,plain,
( ( sum @ n10 @ n7 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12230,plain,
( ( ( sum @ n19 @ n19 )
!= n17 )
<= ( ( sk__1 = n14 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12188,zip_derived_cl28,zip_derived_cl143,zip_derived_cl7,zip_derived_cl323,zip_derived_cl28,zip_derived_cl7,zip_derived_cl134,zip_derived_cl261]) ).
thf(zip_derived_cl13607,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n14 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl12230]) ).
thf('379',plain,
( ( sk_ != n5 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13607]) ).
thf(zip_derived_cl722_3657,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13325_3658,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl8452]) ).
thf(zip_derived_cl13449,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n0 ) @ ( sum @ n19 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl13325]) ).
thf(zip_derived_cl28_3659,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_3660,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3661,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_3662,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3663,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_3664,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl273_3665,plain,
( ( sum @ n10 @ n19 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13491,plain,
( ( ( sum @ n4 @ ( sum @ n19 @ n6 ) )
!= n8 )
<= ( ( sk__1 = n20 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13449,zip_derived_cl28,zip_derived_cl128,zip_derived_cl7,zip_derived_cl28,zip_derived_cl7,zip_derived_cl134,zip_derived_cl273]) ).
thf(zip_derived_cl449_3666,plain,
( ( sum @ n19 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_3667,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13596,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n20 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13491,zip_derived_cl449,zip_derived_cl132]) ).
thf('380',plain,
( ( sk_ != n5 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13596]) ).
thf(zip_derived_cl722_3668,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13271_3669,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl8276]) ).
thf(zip_derived_cl13331,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl13271]) ).
thf(zip_derived_cl28_3670,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148_3671,plain,
( ( sum @ n4 @ n20 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3672,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl428_3673,plain,
( ( sum @ n18 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_3674,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_3675,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3676,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_3677,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl271_3678,plain,
( ( sum @ n10 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13376,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n19 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13331,zip_derived_cl28,zip_derived_cl148,zip_derived_cl7,zip_derived_cl428,zip_derived_cl110,zip_derived_cl28,zip_derived_cl7,zip_derived_cl134,zip_derived_cl271]) ).
thf('381',plain,
( ( sk_ != n5 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13376]) ).
thf(zip_derived_cl722_3679,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13022_3680,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl8098]) ).
thf(zip_derived_cl13077,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl13022]) ).
thf(zip_derived_cl28_3681,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147_3682,plain,
( ( sum @ n4 @ n19 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3683,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_3684,plain,
( ( sum @ n17 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_3685,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_3686,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3687,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_3688,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl269_3689,plain,
( ( sum @ n10 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13121,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n18 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13077,zip_derived_cl28,zip_derived_cl147,zip_derived_cl7,zip_derived_cl407,zip_derived_cl88,zip_derived_cl28,zip_derived_cl7,zip_derived_cl134,zip_derived_cl269]) ).
thf('382',plain,
( ( sk_ != n5 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13121]) ).
thf(zip_derived_cl396_3690,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl722_3691,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11633_3692,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6321]) ).
thf(zip_derived_cl11647,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl11633]) ).
thf(zip_derived_cl28_3693,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140_3694,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3695,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl260_3696,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_3697,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3698,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_3699,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl255_3700,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11689,plain,
( ( ( sum @ n16 @ n16 )
!= n11 )
<= ( ( sk__1 = n11 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11647,zip_derived_cl28,zip_derived_cl140,zip_derived_cl7,zip_derived_cl260,zip_derived_cl28,zip_derived_cl7,zip_derived_cl134,zip_derived_cl255]) ).
thf(zip_derived_cl12774,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n11 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl11689]) ).
thf('383',plain,
( ( sk__1 != n11 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12774]) ).
thf(zip_derived_cl722_3701,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9908_3702,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4440]) ).
thf(zip_derived_cl9914,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl9908]) ).
thf(zip_derived_cl28_3703,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3704,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_3705,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3706,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9957,plain,
( ( ( sum @ ( sum @ n4 @ n5 ) @ ( sum @ n3 @ n6 ) )
!= ( sum @ ( sum @ n4 @ n6 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9914,zip_derived_cl28,zip_derived_cl7,zip_derived_cl28,zip_derived_cl7]) ).
thf(zip_derived_cl133_3707,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113_3708,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_3709,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_3710,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262_3711,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11920,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n4 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9957,zip_derived_cl133,zip_derived_cl113,zip_derived_cl242,zip_derived_cl134,zip_derived_cl262]) ).
thf('384',plain,
( ( sk_ != n5 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11920]) ).
thf(zip_derived_cl722_3712,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9494_3713,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl4167]) ).
thf(zip_derived_cl9500,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl9494]) ).
thf(zip_derived_cl28_3714,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3715,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_3716,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3717,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9543,plain,
( ( ( sum @ ( sum @ n4 @ n4 ) @ ( sum @ n2 @ n6 ) )
!= ( sum @ ( sum @ n4 @ n6 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9500,zip_derived_cl28,zip_derived_cl7,zip_derived_cl28,zip_derived_cl7]) ).
thf(zip_derived_cl132_3718,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_3719,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_3720,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_3721,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl260_3722,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11773,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n3 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9543,zip_derived_cl132,zip_derived_cl92,zip_derived_cl220,zip_derived_cl134,zip_derived_cl260]) ).
thf('385',plain,
( ( sk__1 != n3 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11773]) ).
thf(zip_derived_cl479_3723,plain,
( ( sum @ n20 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_3724,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12162_3725,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl7123]) ).
thf(zip_derived_cl12183,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl12162]) ).
thf(zip_derived_cl23_3726,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_3727,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl318_3728,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_3729,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_3730,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12225,plain,
( ( ( sum @ ( sum @ n20 @ n15 ) @ n14 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12183,zip_derived_cl23,zip_derived_cl2,zip_derived_cl318,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl13861,plain,
( ( ( sum @ n14 @ n14 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl12225]) ).
thf(zip_derived_cl352_3731,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_3732,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_3733,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13863,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n14 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13861,zip_derived_cl352,zip_derived_cl465,zip_derived_cl51]) ).
thf('386',plain,
( ( sk__1 != n14 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13863]) ).
thf(zip_derived_cl418_3734,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720_3735,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12162_3736,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl7123]) ).
thf(zip_derived_cl12186,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl12162]) ).
thf(zip_derived_cl26_3737,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101_3738,plain,
( ( sum @ n2 @ n15 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3739,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl321_3740,plain,
( ( sum @ n13 @ n4 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3741,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3742,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_3743,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl177_3744,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12228,plain,
( ( ( sum @ n17 @ n17 )
!= n13 )
<= ( ( sk__1 = n14 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12186,zip_derived_cl26,zip_derived_cl101,zip_derived_cl5,zip_derived_cl321,zip_derived_cl26,zip_derived_cl5,zip_derived_cl90,zip_derived_cl177]) ).
thf(zip_derived_cl13000,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n14 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl12228]) ).
thf('387',plain,
( ( sk__1 != n14 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13000]) ).
thf(zip_derived_cl396_3745,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_3746,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12162_3747,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl7123]) ).
thf(zip_derived_cl12185,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl12162]) ).
thf(zip_derived_cl25_3748,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_3749,plain,
( ( sum @ n1 @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3750,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_3751,plain,
( ( sum @ n13 @ n3 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_3752,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3753,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3754,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_3755,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12227,plain,
( ( ( sum @ n16 @ n16 )
!= n11 )
<= ( ( sk__1 = n14 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12185,zip_derived_cl25,zip_derived_cl80,zip_derived_cl4,zip_derived_cl320,zip_derived_cl25,zip_derived_cl4,zip_derived_cl68,zip_derived_cl135]) ).
thf(zip_derived_cl12781,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n14 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl12227]) ).
thf('388',plain,
( ( sk__1 != n14 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12781]) ).
thf(zip_derived_cl387_3756,plain,
( ( sum @ n16 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725_3757,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12162_3758,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl7123]) ).
thf(zip_derived_cl12191,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl12162]) ).
thf(zip_derived_cl31_3759,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl206_3760,plain,
( ( sum @ n7 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3761,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_3762,plain,
( ( sum @ n13 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_3763,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_3764,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3765,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_3766,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12233,plain,
( ( n2
!= ( sum @ n16 @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12191,zip_derived_cl31,zip_derived_cl206,zip_derived_cl10,zip_derived_cl326,zip_derived_cl66,zip_derived_cl31,zip_derived_cl10,zip_derived_cl200]) ).
thf(zip_derived_cl12719,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n14 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl387,zip_derived_cl12233]) ).
thf('389',plain,
( ( sk__1 != n14 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12719]) ).
thf(zip_derived_cl354_3767,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_3768,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12162_3769,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl7123]) ).
thf(zip_derived_cl12198,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl12162]) ).
thf(zip_derived_cl38_3770,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_3771,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl333_3772,plain,
( ( sum @ n13 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_3773,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_3774,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12244,plain,
( ( ( sum @ ( sum @ n14 @ n15 ) @ n8 )
!= ( sum @ ( sum @ n14 @ n16 ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12198,zip_derived_cl38,zip_derived_cl17,zip_derived_cl333,zip_derived_cl38,zip_derived_cl17]) ).
thf(zip_derived_cl12367,plain,
( ( ( sum @ ( sum @ n14 @ n15 ) @ n8 )
!= ( sum @ n9 @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl12244]) ).
thf(zip_derived_cl353_3775,plain,
( ( sum @ n14 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_3776,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl240_3777,plain,
( ( sum @ n9 @ n7 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12380,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n14 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12367,zip_derived_cl353,zip_derived_cl220,zip_derived_cl240]) ).
thf('390',plain,
( ( sk__1 != n14 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12380]) ).
thf(zip_derived_cl730_3778,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12162_3779,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl7123]) ).
thf(zip_derived_cl12196,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n7 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl12162]) ).
thf(zip_derived_cl36_3780,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl311_3781,plain,
( ( sum @ n12 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3782,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl331_3783,plain,
( ( sum @ n13 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_3784,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3785,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3786,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_3787,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_3788,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12240,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n14 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12196,zip_derived_cl36,zip_derived_cl311,zip_derived_cl15,zip_derived_cl331,zip_derived_cl176,zip_derived_cl36,zip_derived_cl15,zip_derived_cl310,zip_derived_cl156]) ).
thf('391',plain,
( ( sk__1 != n14 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12240]) ).
thf(zip_derived_cl731_3789,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl2841_3790,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ ( pred @ n14 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n14 ) @ n15 ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl864,zip_derived_cl16,zip_derived_cl16]) ).
thf(zip_derived_cl2856,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n15 ) @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ ( sum @ ( pred @ n14 ) @ n15 ) ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl2841]) ).
thf(zip_derived_cl16_3791,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3792,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2898,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n15 ) @ ( sum @ ( pred @ n14 ) @ n15 ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ n15 ) @ ( sum @ ( pred @ n14 ) @ n15 ) ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2856,zip_derived_cl16,zip_derived_cl16]) ).
thf('392',plain,
( ( sk__1 != n14 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2898]) ).
thf(zip_derived_cl484_3793,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_3794,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13022_3795,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl8098]) ).
thf(zip_derived_cl13074,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl13022]) ).
thf(zip_derived_cl25_3796,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_3797,plain,
( ( sum @ n1 @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3798,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl404_3799,plain,
( ( sum @ n17 @ n3 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_3800,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3801,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3802,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143_3803,plain,
( ( sum @ n4 @ n15 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13116,plain,
( ( ( sum @ n20 @ n20 )
!= n19 )
<= ( ( sk__1 = n18 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13074,zip_derived_cl25,zip_derived_cl84,zip_derived_cl4,zip_derived_cl404,zip_derived_cl25,zip_derived_cl4,zip_derived_cl68,zip_derived_cl143]) ).
thf(zip_derived_cl13929,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n18 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl13116]) ).
thf('393',plain,
( ( sk_ != n2 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13929]) ).
thf(zip_derived_cl719_3804,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13325_3805,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl8452]) ).
thf(zip_derived_cl13446,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n0 ) @ ( sum @ n19 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl13325]) ).
thf(zip_derived_cl25_3806,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_3807,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3808,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_3809,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3810,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3811,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147_3812,plain,
( ( sum @ n4 @ n19 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13488,plain,
( ( ( sum @ n1 @ ( sum @ n19 @ n3 ) )
!= n2 )
<= ( ( sk__1 = n20 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13446,zip_derived_cl25,zip_derived_cl65,zip_derived_cl4,zip_derived_cl25,zip_derived_cl4,zip_derived_cl68,zip_derived_cl147]) ).
thf(zip_derived_cl446_3813,plain,
( ( sum @ n19 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_3814,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13585,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n20 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13488,zip_derived_cl446,zip_derived_cl66]) ).
thf('394',plain,
( ( sk_ != n2 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13585]) ).
thf(zip_derived_cl719_3815,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13271_3816,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl8276]) ).
thf(zip_derived_cl13328,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl13271]) ).
thf(zip_derived_cl25_3817,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_3818,plain,
( ( sum @ n1 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3819,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl425_3820,plain,
( ( sum @ n18 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_3821,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_3822,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3823,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3824,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145_3825,plain,
( ( sum @ n4 @ n17 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13370,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n19 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13328,zip_derived_cl25,zip_derived_cl85,zip_derived_cl4,zip_derived_cl425,zip_derived_cl44,zip_derived_cl25,zip_derived_cl4,zip_derived_cl68,zip_derived_cl145]) ).
thf('395',plain,
( ( sk_ != n2 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13370]) ).
thf(zip_derived_cl418_3826,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_3827,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12359_3828,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl7390]) ).
thf(zip_derived_cl12390,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl12359]) ).
thf(zip_derived_cl25_3829,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_3830,plain,
( ( sum @ n1 @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3831,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl341_3832,plain,
( ( sum @ n14 @ n3 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_3833,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3834,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3835,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_3836,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12432,plain,
( ( ( sum @ n17 @ n17 )
!= n13 )
<= ( ( sk__1 = n15 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12390,zip_derived_cl25,zip_derived_cl81,zip_derived_cl4,zip_derived_cl341,zip_derived_cl25,zip_derived_cl4,zip_derived_cl68,zip_derived_cl137]) ).
thf(zip_derived_cl13002,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n15 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl12432]) ).
thf('396',plain,
( ( sk_ != n2 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13002]) ).
thf(zip_derived_cl330_3837,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_3838,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11633_3839,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6321]) ).
thf(zip_derived_cl11644,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl11633]) ).
thf(zip_derived_cl25_3840,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_3841,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3842,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl257_3843,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_3844,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3845,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3846,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl129_3847,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11686,plain,
( ( ( sum @ n13 @ n13 )
!= n5 )
<= ( ( sk__1 = n11 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11644,zip_derived_cl25,zip_derived_cl77,zip_derived_cl4,zip_derived_cl257,zip_derived_cl25,zip_derived_cl4,zip_derived_cl68,zip_derived_cl129]) ).
thf(zip_derived_cl12147,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n11 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl11686]) ).
thf('397',plain,
( ( sk__1 != n11 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12147]) ).
thf(zip_derived_cl719_3848,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9908_3849,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4440]) ).
thf(zip_derived_cl9911,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl9908]) ).
thf(zip_derived_cl25_3850,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_3851,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3852,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_3853,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_3854,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3855,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3856,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9953,plain,
( ( ( sum @ n6 @ n6 )
!= ( sum @ n4 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9911,zip_derived_cl25,zip_derived_cl70,zip_derived_cl4,zip_derived_cl110,zip_derived_cl25,zip_derived_cl4,zip_derived_cl68]) ).
thf(zip_derived_cl176_3857,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136_3858,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11101,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n4 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9953,zip_derived_cl176,zip_derived_cl136]) ).
thf('398',plain,
( ( sk_ != n2 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11101]) ).
thf(zip_derived_cl719_3859,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9494_3860,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl4167]) ).
thf(zip_derived_cl9497,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl9494]) ).
thf(zip_derived_cl25_3861,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_3862,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3863,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_3864,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_3865,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3866,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3867,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9539,plain,
( ( ( sum @ n5 @ n5 )
!= ( sum @ n4 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9497,zip_derived_cl25,zip_derived_cl69,zip_derived_cl4,zip_derived_cl89,zip_derived_cl25,zip_derived_cl4,zip_derived_cl68]) ).
thf(zip_derived_cl154_3868,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_3869,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10954,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n3 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9539,zip_derived_cl154,zip_derived_cl134]) ).
thf('399',plain,
( ( sk__1 != n3 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10954]) ).
thf(zip_derived_cl483_3870,plain,
( ( sum @ n20 @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_3871,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13022_3872,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl8098]) ).
thf(zip_derived_cl13072,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl13022]) ).
thf(zip_derived_cl23_3873,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_3874,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl402_3875,plain,
( ( sum @ n17 @ n1 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_3876,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_3877,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13114,plain,
( ( ( sum @ ( sum @ n20 @ n19 ) @ n18 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13072,zip_derived_cl23,zip_derived_cl2,zip_derived_cl402,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl13903,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl483,zip_derived_cl13114]) ).
thf(zip_derived_cl440_3878,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_3879,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3880,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13904,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n18 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13903,zip_derived_cl440,zip_derived_cl465,zip_derived_cl59]) ).
thf('400',plain,
( ( sk__1 != n18 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13904]) ).
thf(zip_derived_cl732_3881,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13022_3882,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl8098]) ).
thf(zip_derived_cl13087,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl13022]) ).
thf(zip_derived_cl38_3883,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl357_3884,plain,
( ( sum @ n14 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_3885,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl417_3886,plain,
( ( sum @ n17 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308_3887,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_3888,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_3889,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_3890,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl248_3891,plain,
( ( sum @ n9 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13139,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n18 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13087,zip_derived_cl38,zip_derived_cl357,zip_derived_cl17,zip_derived_cl417,zip_derived_cl308,zip_derived_cl38,zip_derived_cl17,zip_derived_cl354,zip_derived_cl248]) ).
thf('401',plain,
( ( sk__1 != n18 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13139]) ).
thf(zip_derived_cl731_3892,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13022_3893,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl8098]) ).
thf(zip_derived_cl13086,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl13022]) ).
thf(zip_derived_cl37_3894,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl336_3895,plain,
( ( sum @ n13 @ n19 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3896,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_3897,plain,
( ( sum @ n17 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_3898,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3899,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3900,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_3901,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl206_3902,plain,
( ( sum @ n7 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13137,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n18 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13086,zip_derived_cl37,zip_derived_cl336,zip_derived_cl16,zip_derived_cl416,zip_derived_cl286,zip_derived_cl37,zip_derived_cl16,zip_derived_cl332,zip_derived_cl206]) ).
thf('402',plain,
( ( sk__1 != n18 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13137]) ).
thf(zip_derived_cl730_3903,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13022_3904,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl8098]) ).
thf(zip_derived_cl13085,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl13022]) ).
thf(zip_derived_cl36_3905,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl315_3906,plain,
( ( sum @ n12 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3907,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl415_3908,plain,
( ( sum @ n17 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_3909,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3910,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3911,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_3912,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_3913,plain,
( ( sum @ n5 @ n15 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13135,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n18 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13085,zip_derived_cl36,zip_derived_cl315,zip_derived_cl15,zip_derived_cl415,zip_derived_cl264,zip_derived_cl36,zip_derived_cl15,zip_derived_cl310,zip_derived_cl164]) ).
thf('403',plain,
( ( sk__1 != n18 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13135]) ).
thf(zip_derived_cl725_3914,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13022_3915,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl8098]) ).
thf(zip_derived_cl13080,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl13022]) ).
thf(zip_derived_cl31_3916,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210_3917,plain,
( ( sum @ n7 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3918,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl410_3919,plain,
( ( sum @ n17 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_3920,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_3921,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3922,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_3923,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl395_3924,plain,
( ( sum @ n16 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13127,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n18 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13080,zip_derived_cl31,zip_derived_cl210,zip_derived_cl10,zip_derived_cl410,zip_derived_cl154,zip_derived_cl31,zip_derived_cl10,zip_derived_cl200,zip_derived_cl395]) ).
thf('404',plain,
( ( sk__1 != n18 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13127]) ).
thf(zip_derived_cl720_3925,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13022_3926,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl8098]) ).
thf(zip_derived_cl13075,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n15 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl13022]) ).
thf(zip_derived_cl26_3927,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl105_3928,plain,
( ( sum @ n2 @ n19 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3929,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_3930,plain,
( ( sum @ n17 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_3931,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3932,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3933,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_3934,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl185_3935,plain,
( ( sum @ n6 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13117,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n18 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13075,zip_derived_cl26,zip_derived_cl105,zip_derived_cl5,zip_derived_cl405,zip_derived_cl44,zip_derived_cl26,zip_derived_cl5,zip_derived_cl90,zip_derived_cl185]) ).
thf('405',plain,
( ( sk__1 != n18 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13117]) ).
thf(zip_derived_cl730_3936,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13325_3937,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl8452]) ).
thf(zip_derived_cl13457,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n0 ) @ ( sum @ n19 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl13325]) ).
thf(zip_derived_cl36_3938,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl296_3939,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3940,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3941,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3942,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_3943,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168_3944,plain,
( ( sum @ n5 @ n19 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13499,plain,
( ( ( sum @ n12 @ ( sum @ n19 @ n14 ) )
!= n3 )
<= ( ( sk__1 = n20 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13457,zip_derived_cl36,zip_derived_cl296,zip_derived_cl15,zip_derived_cl36,zip_derived_cl15,zip_derived_cl310,zip_derived_cl168]) ).
thf(zip_derived_cl457_3945,plain,
( ( sum @ n19 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308_3946,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13782,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n20 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13499,zip_derived_cl457,zip_derived_cl308]) ).
thf('406',plain,
( ( sk_ != n13 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13782]) ).
thf(zip_derived_cl730_3947,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13271_3948,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl8276]) ).
thf(zip_derived_cl13339,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl13271]) ).
thf(zip_derived_cl36_3949,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl316_3950,plain,
( ( sum @ n12 @ n20 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3951,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436_3952,plain,
( ( sum @ n18 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_3953,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3954,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3955,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_3956,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166_3957,plain,
( ( sum @ n5 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13391,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n19 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13339,zip_derived_cl36,zip_derived_cl316,zip_derived_cl15,zip_derived_cl436,zip_derived_cl286,zip_derived_cl36,zip_derived_cl15,zip_derived_cl310,zip_derived_cl166]) ).
thf('407',plain,
( ( sk_ != n13 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13391]) ).
thf(zip_derived_cl418_3958,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_3959,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730_3960,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9908_3961,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4440]) ).
thf(zip_derived_cl9922,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl9908]) ).
thf(zip_derived_cl36_3962,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3963,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3964,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3965,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9965,plain,
( ( ( sum @ ( sum @ n12 @ n5 ) @ ( sum @ n3 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9922,zip_derived_cl36,zip_derived_cl15,zip_derived_cl36,zip_derived_cl15]) ).
thf(zip_derived_cl121_3966,plain,
( ( sum @ n3 @ n14 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11931,plain,
( ( ( sum @ ( sum @ n12 @ n5 ) @ n17 )
!= ( sum @ ( sum @ n12 @ n14 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9965,zip_derived_cl121]) ).
thf(zip_derived_cl11991,plain,
( ( ( sum @ ( sum @ n12 @ n5 ) @ n17 )
!= ( sum @ n5 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl11931]) ).
thf(zip_derived_cl301_3967,plain,
( ( sum @ n12 @ n5 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl157_3968,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11999,plain,
( ( ( sum @ n17 @ n17 )
!= n13 )
<= ( ( sk__1 = n4 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11991,zip_derived_cl301,zip_derived_cl157]) ).
thf(zip_derived_cl12996,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n4 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl11999]) ).
thf('408',plain,
( ( sk_ != n13 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12996]) ).
thf(zip_derived_cl396_3969,plain,
( ( sum @ n16 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_3970,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730_3971,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9494_3972,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl4167]) ).
thf(zip_derived_cl9508,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl9494]) ).
thf(zip_derived_cl36_3973,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3974,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3975,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3976,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9551,plain,
( ( ( sum @ ( sum @ n12 @ n4 ) @ ( sum @ n2 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9508,zip_derived_cl36,zip_derived_cl15,zip_derived_cl36,zip_derived_cl15]) ).
thf(zip_derived_cl100_3977,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11782,plain,
( ( ( sum @ ( sum @ n12 @ n4 ) @ n16 )
!= ( sum @ ( sum @ n12 @ n14 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9551,zip_derived_cl100]) ).
thf(zip_derived_cl11989,plain,
( ( ( sum @ ( sum @ n12 @ n4 ) @ n16 )
!= ( sum @ n5 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl11782]) ).
thf(zip_derived_cl300_3978,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl155_3979,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11996,plain,
( ( ( sum @ n16 @ n16 )
!= n11 )
<= ( ( sk__1 = n3 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11989,zip_derived_cl300,zip_derived_cl155]) ).
thf(zip_derived_cl12778,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n3 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl11996]) ).
thf('409',plain,
( ( sk__1 != n3 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12778]) ).
thf(zip_derived_cl730_3980,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11633_3981,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6321]) ).
thf(zip_derived_cl11655,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl11633]) ).
thf(zip_derived_cl36_3982,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3983,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3984,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3985,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11698,plain,
( ( ( sum @ ( sum @ n12 @ n12 ) @ ( sum @ n10 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11655,zip_derived_cl36,zip_derived_cl15,zip_derived_cl36,zip_derived_cl15]) ).
thf(zip_derived_cl308_3986,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268_3987,plain,
( ( sum @ n10 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_3988,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_3989,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl150_3990,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12524,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n11 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11698,zip_derived_cl308,zip_derived_cl268,zip_derived_cl110,zip_derived_cl310,zip_derived_cl150]) ).
thf('410',plain,
( ( sk__1 != n11 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12524]) ).
thf(zip_derived_cl730_3991,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12359_3992,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl7390]) ).
thf(zip_derived_cl12401,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl12359]) ).
thf(zip_derived_cl36_3993,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl312_3994,plain,
( ( sum @ n12 @ n16 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3995,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_3996,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_3997,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3998,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3999,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_4000,plain,
( ( sum @ n12 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158_4001,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12447,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n15 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12401,zip_derived_cl36,zip_derived_cl312,zip_derived_cl15,zip_derived_cl352,zip_derived_cl198,zip_derived_cl36,zip_derived_cl15,zip_derived_cl310,zip_derived_cl158]) ).
thf('411',plain,
( ( sk_ != n13 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12447]) ).
thf(zip_derived_cl480_4002,plain,
( ( sum @ n20 @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_4003,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12359_4004,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl7390]) ).
thf(zip_derived_cl12388,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl12359]) ).
thf(zip_derived_cl23_4005,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_4006,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl339_4007,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_4008,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_4009,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12430,plain,
( ( ( sum @ ( sum @ n20 @ n16 ) @ n15 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12388,zip_derived_cl23,zip_derived_cl2,zip_derived_cl339,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl13873,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl12430]) ).
thf(zip_derived_cl374_4010,plain,
( ( sum @ n15 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_4011,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_4012,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13876,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n15 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13873,zip_derived_cl374,zip_derived_cl465,zip_derived_cl53]) ).
thf('412',plain,
( ( sk__1 != n15 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13876]) ).
thf(zip_derived_cl440_4013,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720_4014,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12359_4015,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl7390]) ).
thf(zip_derived_cl12391,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl12359]) ).
thf(zip_derived_cl26_4016,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102_4017,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_4018,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl342_4019,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_4020,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_4021,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_4022,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl179_4023,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12433,plain,
( ( ( sum @ n18 @ n18 )
!= n15 )
<= ( ( sk__1 = n15 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12391,zip_derived_cl26,zip_derived_cl102,zip_derived_cl5,zip_derived_cl342,zip_derived_cl26,zip_derived_cl5,zip_derived_cl90,zip_derived_cl179]) ).
thf(zip_derived_cl13248,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n15 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl12433]) ).
thf('413',plain,
( ( sk__1 != n15 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13248]) ).
thf(zip_derived_cl389_4024,plain,
( ( sum @ n16 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725_4025,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12359_4026,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl7390]) ).
thf(zip_derived_cl12396,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl12359]) ).
thf(zip_derived_cl31_4027,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl207_4028,plain,
( ( sum @ n7 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_4029,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl347_4030,plain,
( ( sum @ n14 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_4031,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_4032,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_4033,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_4034,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12440,plain,
( ( n4
!= ( sum @ n16 @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12396,zip_derived_cl31,zip_derived_cl207,zip_derived_cl10,zip_derived_cl347,zip_derived_cl88,zip_derived_cl31,zip_derived_cl10,zip_derived_cl200]) ).
thf(zip_derived_cl12724,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n15 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl12440]) ).
thf('414',plain,
( ( sk__1 != n15 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12724]) ).
thf(zip_derived_cl731_4035,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl12359_4036,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl7390]) ).
thf(zip_derived_cl12402,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n9 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl12359]) ).
thf(zip_derived_cl37_4037,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl333_4038,plain,
( ( sum @ n13 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4039,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_4040,plain,
( ( sum @ n14 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_4041,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_4042,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4043,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_4044,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_4045,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12449,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n15 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12402,zip_derived_cl37,zip_derived_cl333,zip_derived_cl16,zip_derived_cl353,zip_derived_cl220,zip_derived_cl37,zip_derived_cl16,zip_derived_cl332,zip_derived_cl200]) ).
thf('415',plain,
( ( sk__1 != n15 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12449]) ).
thf(zip_derived_cl732_4046,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl2925_4047,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ ( pred @ n15 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n15 ) @ n16 ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl884,zip_derived_cl17,zip_derived_cl17]) ).
thf(zip_derived_cl2941,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n16 ) @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ ( sum @ ( pred @ n15 ) @ n16 ) ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl2925]) ).
thf(zip_derived_cl17_4048,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4049,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2983,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n16 ) @ ( sum @ ( pred @ n15 ) @ n16 ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ n16 ) @ ( sum @ ( pred @ n15 ) @ n16 ) ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2941,zip_derived_cl17,zip_derived_cl17]) ).
thf('416',plain,
( ( sk__1 != n15 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2983]) ).
thf(zip_derived_cl725_4050,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13325_4051,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl8452]) ).
thf(zip_derived_cl13452,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n0 ) @ ( sum @ n19 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl13325]) ).
thf(zip_derived_cl31_4052,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_4053,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_4054,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_4055,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_4056,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_4057,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl399_4058,plain,
( ( sum @ n16 @ n19 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13494,plain,
( ( ( sum @ n7 @ ( sum @ n19 @ n9 ) )
!= n14 )
<= ( ( sk__1 = n20 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13452,zip_derived_cl31,zip_derived_cl191,zip_derived_cl10,zip_derived_cl31,zip_derived_cl10,zip_derived_cl200,zip_derived_cl399]) ).
thf(zip_derived_cl452_4059,plain,
( ( sum @ n19 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_4060,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13763,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n20 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13494,zip_derived_cl452,zip_derived_cl198]) ).
thf('417',plain,
( ( sk_ != n8 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13763]) ).
thf(zip_derived_cl462_4061,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725_4062,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11633_4063,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6321]) ).
thf(zip_derived_cl11650,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl11633]) ).
thf(zip_derived_cl31_4064,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl203_4065,plain,
( ( sum @ n7 @ n12 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_4066,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl263_4067,plain,
( ( sum @ n10 @ n9 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_4068,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_4069,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_4070,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11692,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ n16 @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11650,zip_derived_cl31,zip_derived_cl203,zip_derived_cl10,zip_derived_cl263,zip_derived_cl31,zip_derived_cl10,zip_derived_cl200]) ).
thf(zip_derived_cl13601,plain,
( ( n17
!= ( sum @ n16 @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl11692]) ).
thf(zip_derived_cl381_4071,plain,
( ( sum @ n16 @ n1 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13620,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n11 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13601,zip_derived_cl381]) ).
thf('418',plain,
( ( sk__1 != n11 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13620]) ).
thf(zip_derived_cl725_4072,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13271_4073,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl8276]) ).
thf(zip_derived_cl13334,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl13271]) ).
thf(zip_derived_cl31_4074,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl211_4075,plain,
( ( sum @ n7 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_4076,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl431_4077,plain,
( ( sum @ n18 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_4078,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_4079,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_4080,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_4081,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl397_4082,plain,
( ( sum @ n16 @ n17 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13382,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n19 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13334,zip_derived_cl31,zip_derived_cl211,zip_derived_cl10,zip_derived_cl431,zip_derived_cl176,zip_derived_cl31,zip_derived_cl10,zip_derived_cl200,zip_derived_cl397]) ).
thf('419',plain,
( ( sk_ != n8 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13382]) ).
thf(zip_derived_cl388_4083,plain,
( ( sum @ n16 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725_4084,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9908_4085,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4440]) ).
thf(zip_derived_cl9917,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl9908]) ).
thf(zip_derived_cl31_4086,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_4087,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_4088,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_4089,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9960,plain,
( ( ( sum @ ( sum @ n7 @ n5 ) @ ( sum @ n3 @ n9 ) )
!= ( sum @ ( sum @ n7 @ n9 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9917,zip_derived_cl31,zip_derived_cl10,zip_derived_cl31,zip_derived_cl10]) ).
thf(zip_derived_cl196_4090,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116_4091,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_4092,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11924,plain,
( ( ( sum @ n12 @ n12 )
!= ( sum @ n16 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9960,zip_derived_cl196,zip_derived_cl116,zip_derived_cl200]) ).
thf(zip_derived_cl12721,plain,
( ( ( sum @ n12 @ n12 )
!= n3 )
<= ( ( sk__1 = n4 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl388,zip_derived_cl11924]) ).
thf(zip_derived_cl308_4093,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12722,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n4 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12721,zip_derived_cl308]) ).
thf('420',plain,
( ( sk_ != n8 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12722]) ).
thf(zip_derived_cl386_4094,plain,
( ( sum @ n16 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725_4095,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9494_4096,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl4167]) ).
thf(zip_derived_cl9503,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl9494]) ).
thf(zip_derived_cl31_4097,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_4098,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_4099,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_4100,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9546,plain,
( ( ( sum @ ( sum @ n7 @ n4 ) @ ( sum @ n2 @ n9 ) )
!= ( sum @ ( sum @ n7 @ n9 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9503,zip_derived_cl31,zip_derived_cl10,zip_derived_cl31,zip_derived_cl10]) ).
thf(zip_derived_cl195_4101,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95_4102,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_4103,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11777,plain,
( ( ( sum @ n11 @ n11 )
!= ( sum @ n16 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9546,zip_derived_cl195,zip_derived_cl95,zip_derived_cl200]) ).
thf(zip_derived_cl12714,plain,
( ( ( sum @ n11 @ n11 )
!= n1 )
<= ( ( sk__1 = n3 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl11777]) ).
thf(zip_derived_cl286_4104,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12716,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n3 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12714,zip_derived_cl286]) ).
thf('421',plain,
( ( sk__1 != n3 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12716]) ).
thf(zip_derived_cl717_4105,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13271_4106,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl8276]) ).
thf(zip_derived_cl13326,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl13271]) ).
thf(zip_derived_cl23_4107,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_4108,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl423_4109,plain,
( ( sum @ n18 @ n1 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_4110,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_4111,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13368,plain,
( ( ( sum @ ( sum @ n20 @ n20 ) @ n19 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13326,zip_derived_cl23,zip_derived_cl2,zip_derived_cl423,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl484_4112,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl462_4113,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_4114,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_4115,plain,
( ( sum @ n0 @ n17 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14054,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n19 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13368,zip_derived_cl484,zip_derived_cl462,zip_derived_cl465,zip_derived_cl61]) ).
thf('422',plain,
( ( sk__1 != n19 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl14054]) ).
thf(zip_derived_cl732_4116,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13271_4117,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl8276]) ).
thf(zip_derived_cl13341,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl13271]) ).
thf(zip_derived_cl38_4118,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl358_4119,plain,
( ( sum @ n14 @ n20 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4120,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438_4121,plain,
( ( sum @ n18 @ n16 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330_4122,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_4123,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4124,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_4125,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl250_4126,plain,
( ( sum @ n9 @ n17 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13395,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n19 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13341,zip_derived_cl38,zip_derived_cl358,zip_derived_cl17,zip_derived_cl438,zip_derived_cl330,zip_derived_cl38,zip_derived_cl17,zip_derived_cl354,zip_derived_cl250]) ).
thf('423',plain,
( ( sk__1 != n19 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13395]) ).
thf(zip_derived_cl731_4127,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13271_4128,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl8276]) ).
thf(zip_derived_cl13340,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl13271]) ).
thf(zip_derived_cl37_4129,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl337_4130,plain,
( ( sum @ n13 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4131,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl437_4132,plain,
( ( sum @ n18 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308_4133,plain,
( ( sum @ n12 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_4134,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4135,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_4136,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl208_4137,plain,
( ( sum @ n7 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13393,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n19 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13340,zip_derived_cl37,zip_derived_cl337,zip_derived_cl16,zip_derived_cl437,zip_derived_cl308,zip_derived_cl37,zip_derived_cl16,zip_derived_cl332,zip_derived_cl208]) ).
thf('424',plain,
( ( sk__1 != n19 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13393]) ).
thf(zip_derived_cl720_4138,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13271_4139,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl8276]) ).
thf(zip_derived_cl13329,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n17 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl13271]) ).
thf(zip_derived_cl26_4140,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106_4141,plain,
( ( sum @ n2 @ n20 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_4142,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl426_4143,plain,
( ( sum @ n18 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4144,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_4145,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_4146,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_4147,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl187_4148,plain,
( ( sum @ n6 @ n17 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13372,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n19 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13329,zip_derived_cl26,zip_derived_cl106,zip_derived_cl5,zip_derived_cl426,zip_derived_cl66,zip_derived_cl26,zip_derived_cl5,zip_derived_cl90,zip_derived_cl187]) ).
thf('425',plain,
( ( sk__1 != n19 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13372]) ).
thf(zip_derived_cl717_4149,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13325_4150,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl8452]) ).
thf(zip_derived_cl13444,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n0 ) @ ( sum @ n19 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl13325]) ).
thf(zip_derived_cl23_4151,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_4152,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_4153,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_4154,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13486,plain,
( ( ( sum @ ( sum @ n20 @ n0 ) @ ( sum @ n19 @ n1 ) )
!= ( sum @ ( sum @ n20 @ n1 ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13444,zip_derived_cl23,zip_derived_cl2,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl464_4155,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl444_4156,plain,
( ( sum @ n19 @ n1 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl484_4157,plain,
( ( sum @ n20 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_4158,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4159,plain,
( ( sum @ n0 @ n19 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14060,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n20 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13486,zip_derived_cl464,zip_derived_cl444,zip_derived_cl484,zip_derived_cl465,zip_derived_cl63]) ).
thf('426',plain,
( ( sk_ != n0 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl14060]) ).
thf(zip_derived_cl476_4160,plain,
( ( sum @ n20 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_4161,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11633_4162,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6321]) ).
thf(zip_derived_cl11642,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl11633]) ).
thf(zip_derived_cl23_4163,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_4164,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl255_4165,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_4166,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_4167,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11684,plain,
( ( ( sum @ ( sum @ n20 @ n12 ) @ n11 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11642,zip_derived_cl23,zip_derived_cl2,zip_derived_cl255,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl13830,plain,
( ( ( sum @ n11 @ n11 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl11684]) ).
thf(zip_derived_cl286_4168,plain,
( ( sum @ n11 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_4169,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_4170,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13832,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n11 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13830,zip_derived_cl286,zip_derived_cl465,zip_derived_cl45]) ).
thf('427',plain,
( ( sk__1 != n11 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13832]) ).
thf(zip_derived_cl469_4171,plain,
( ( sum @ n20 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_4172,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9908_4173,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4440]) ).
thf(zip_derived_cl9909,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl9908]) ).
thf(zip_derived_cl23_4174,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_4175,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_4176,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_4177,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_4178,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9951,plain,
( ( ( sum @ ( sum @ n20 @ n5 ) @ n4 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9909,zip_derived_cl23,zip_derived_cl2,zip_derived_cl108,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl13756,plain,
( ( ( sum @ n4 @ n4 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl469,zip_derived_cl9951]) ).
thf(zip_derived_cl132_4179,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_4180,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_4181,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13758,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n4 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13756,zip_derived_cl132,zip_derived_cl465,zip_derived_cl52]) ).
thf('428',plain,
( ( sk_ != n0 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13758]) ).
thf(zip_derived_cl468_4182,plain,
( ( sum @ n20 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_4183,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9494_4184,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl4167]) ).
thf(zip_derived_cl9495,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl9494]) ).
thf(zip_derived_cl23_4185,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_4186,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_4187,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_4188,plain,
( ( pred @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_4189,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9537,plain,
( ( ( sum @ ( sum @ n20 @ n4 ) @ n3 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9495,zip_derived_cl23,zip_derived_cl2,zip_derived_cl87,zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl13750,plain,
( ( ( sum @ n3 @ n3 )
!= ( sum @ ( sum @ n20 @ n1 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl9537]) ).
thf(zip_derived_cl110_4190,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_4191,plain,
( ( sum @ n20 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_4192,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13752,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n3 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13750,zip_derived_cl110,zip_derived_cl465,zip_derived_cl50]) ).
thf('429',plain,
( ( sk__1 != n3 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13752]) ).
thf(zip_derived_cl732_4193,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13325_4194,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl8452]) ).
thf(zip_derived_cl13459,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n0 ) @ ( sum @ n19 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl13325]) ).
thf(zip_derived_cl38_4195,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl338_4196,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4197,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_4198,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4199,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_4200,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl252_4201,plain,
( ( sum @ n9 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13501,plain,
( ( ( sum @ n14 @ ( sum @ n19 @ n16 ) )
!= n7 )
<= ( ( sk__1 = n20 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13459,zip_derived_cl38,zip_derived_cl338,zip_derived_cl17,zip_derived_cl38,zip_derived_cl17,zip_derived_cl354,zip_derived_cl252]) ).
thf(zip_derived_cl459_4202,plain,
( ( sum @ n19 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_4203,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13786,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n20 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13501,zip_derived_cl459,zip_derived_cl352]) ).
thf('430',plain,
( ( sk__1 != n20 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13786]) ).
thf(zip_derived_cl731_4204,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13325_4205,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl8452]) ).
thf(zip_derived_cl13458,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n0 ) @ ( sum @ n19 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl13325]) ).
thf(zip_derived_cl37_4206,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl317_4207,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4208,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_4209,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4210,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_4211,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210_4212,plain,
( ( sum @ n7 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13500,plain,
( ( ( sum @ n13 @ ( sum @ n19 @ n15 ) )
!= n5 )
<= ( ( sk__1 = n20 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13458,zip_derived_cl37,zip_derived_cl317,zip_derived_cl16,zip_derived_cl37,zip_derived_cl16,zip_derived_cl332,zip_derived_cl210]) ).
thf(zip_derived_cl458_4213,plain,
( ( sum @ n19 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330_4214,plain,
( ( sum @ n13 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13784,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n20 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13500,zip_derived_cl458,zip_derived_cl330]) ).
thf('431',plain,
( ( sk__1 != n20 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13784]) ).
thf(zip_derived_cl720_4215,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl13325_4216,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl8452]) ).
thf(zip_derived_cl13447,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n0 ) @ ( sum @ n19 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n19 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl13325]) ).
thf(zip_derived_cl26_4217,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_4218,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_4219,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_4220,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_4221,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_4222,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_4223,plain,
( ( sum @ n6 @ n19 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13489,plain,
( ( ( sum @ n2 @ ( sum @ n19 @ n4 ) )
!= n4 )
<= ( ( sk__1 = n20 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13447,zip_derived_cl26,zip_derived_cl86,zip_derived_cl5,zip_derived_cl26,zip_derived_cl5,zip_derived_cl90,zip_derived_cl189]) ).
thf(zip_derived_cl447_4224,plain,
( ( sum @ n19 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_4225,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13587,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n20 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13489,zip_derived_cl447,zip_derived_cl88]) ).
thf('432',plain,
( ( sk__1 != n20 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13587]) ).
thf(zip_derived_cl352_4226,plain,
( ( sum @ n14 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720_4227,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11633_4228,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6321]) ).
thf(zip_derived_cl11645,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl11633]) ).
thf(zip_derived_cl26_4229,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_4230,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_4231,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4232,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_4233,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_4234,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_4235,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl171_4236,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11687,plain,
( ( ( sum @ n14 @ n14 )
!= n7 )
<= ( ( sk__1 = n11 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11645,zip_derived_cl26,zip_derived_cl98,zip_derived_cl5,zip_derived_cl258,zip_derived_cl26,zip_derived_cl5,zip_derived_cl90,zip_derived_cl171]) ).
thf(zip_derived_cl12342,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n11 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl11687]) ).
thf('433',plain,
( ( sk__1 != n11 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12342]) ).
thf(zip_derived_cl198_4237,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720_4238,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9908_4239,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4440]) ).
thf(zip_derived_cl9912,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl9908]) ).
thf(zip_derived_cl26_4240,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_4241,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_4242,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111_4243,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_4244,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_4245,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_4246,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9954,plain,
( ( ( sum @ n7 @ n7 )
!= ( sum @ n6 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9912,zip_derived_cl26,zip_derived_cl91,zip_derived_cl5,zip_derived_cl111,zip_derived_cl26,zip_derived_cl5,zip_derived_cl90]) ).
thf(zip_derived_cl178_4247,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11111,plain,
( ( ( sum @ n7 @ n7 )
!= n14 )
<= ( ( sk__1 = n4 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9954,zip_derived_cl178]) ).
thf(zip_derived_cl11145,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n4 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl198,zip_derived_cl11111]) ).
thf('434',plain,
( ( sk_ != n3 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11145]) ).
thf(zip_derived_cl699_4248,plain,
( ( sk__1 = n3 )
<= ( sk__1 = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1038_4249,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n4 ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ n4 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl5,zip_derived_cl5]) ).
thf(zip_derived_cl1513,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ ( sum @ ( pred @ n3 ) @ n4 ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ n4 ) @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl699,zip_derived_cl1038]) ).
thf(zip_derived_cl5_4250,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_4251,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1561,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n4 ) @ ( sum @ ( pred @ n3 ) @ n4 ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ n4 ) @ ( sum @ ( pred @ n3 ) @ n4 ) ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1513,zip_derived_cl5,zip_derived_cl5]) ).
thf('435',plain,
( ( sk__1 != n3 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1561]) ).
thf(zip_derived_cl462_4252,plain,
( ( sum @ n19 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_4253,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_4254,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9908_4255,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4440]) ).
thf(zip_derived_cl9924,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl9908]) ).
thf(zip_derived_cl38_4256,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4257,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_4258,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4259,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9967,plain,
( ( ( sum @ ( sum @ n14 @ n5 ) @ ( sum @ n3 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9924,zip_derived_cl38,zip_derived_cl17,zip_derived_cl38,zip_derived_cl17]) ).
thf(zip_derived_cl123_4260,plain,
( ( sum @ n3 @ n16 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11933,plain,
( ( ( sum @ ( sum @ n14 @ n5 ) @ n19 )
!= ( sum @ ( sum @ n14 @ n16 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9967,zip_derived_cl123]) ).
thf(zip_derived_cl12363,plain,
( ( ( sum @ ( sum @ n14 @ n5 ) @ n19 )
!= ( sum @ n9 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl11933]) ).
thf(zip_derived_cl343_4261,plain,
( ( sum @ n14 @ n5 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl241_4262,plain,
( ( sum @ n9 @ n8 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12374,plain,
( ( ( sum @ n19 @ n19 )
!= n17 )
<= ( ( sk__1 = n4 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12363,zip_derived_cl343,zip_derived_cl241]) ).
thf(zip_derived_cl13609,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n4 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl12374]) ).
thf('436',plain,
( ( sk__1 != n4 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13609]) ).
thf(zip_derived_cl440_4263,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_4264,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731_4265,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9908_4266,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n5 ) @ ( sum @ n3 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4440]) ).
thf(zip_derived_cl9923,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl9908]) ).
thf(zip_derived_cl37_4267,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4268,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_4269,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4270,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9966,plain,
( ( ( sum @ ( sum @ n13 @ n5 ) @ ( sum @ n3 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9923,zip_derived_cl37,zip_derived_cl16,zip_derived_cl37,zip_derived_cl16]) ).
thf(zip_derived_cl122_4271,plain,
( ( sum @ n3 @ n15 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11932,plain,
( ( ( sum @ ( sum @ n13 @ n5 ) @ n18 )
!= ( sum @ ( sum @ n13 @ n15 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9966,zip_derived_cl122]) ).
thf(zip_derived_cl12166,plain,
( ( ( sum @ ( sum @ n13 @ n5 ) @ n18 )
!= ( sum @ n7 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl11932]) ).
thf(zip_derived_cl322_4272,plain,
( ( sum @ n13 @ n5 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl199_4273,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12175,plain,
( ( ( sum @ n18 @ n18 )
!= n15 )
<= ( ( sk__1 = n4 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12166,zip_derived_cl322,zip_derived_cl199]) ).
thf(zip_derived_cl13245,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n4 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl12175]) ).
thf('437',plain,
( ( sk__1 != n4 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13245]) ).
thf(zip_derived_cl418_4274,plain,
( ( sum @ n17 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_4275,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731_4276,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9494_4277,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl4167]) ).
thf(zip_derived_cl9509,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl9494]) ).
thf(zip_derived_cl37_4278,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4279,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_4280,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4281,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9552,plain,
( ( ( sum @ ( sum @ n13 @ n4 ) @ ( sum @ n2 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9509,zip_derived_cl37,zip_derived_cl16,zip_derived_cl37,zip_derived_cl16]) ).
thf(zip_derived_cl101_4282,plain,
( ( sum @ n2 @ n15 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11783,plain,
( ( ( sum @ ( sum @ n13 @ n4 ) @ n17 )
!= ( sum @ ( sum @ n13 @ n15 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9552,zip_derived_cl101]) ).
thf(zip_derived_cl12165,plain,
( ( ( sum @ ( sum @ n13 @ n4 ) @ n17 )
!= ( sum @ n7 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl11783]) ).
thf(zip_derived_cl321_4283,plain,
( ( sum @ n13 @ n4 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl197_4284,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12174,plain,
( ( ( sum @ n17 @ n17 )
!= n13 )
<= ( ( sk__1 = n3 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12165,zip_derived_cl321,zip_derived_cl197]) ).
thf(zip_derived_cl12999,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n3 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl12174]) ).
thf('438',plain,
( ( sk__1 != n3 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12999]) ).
thf(zip_derived_cl731_4285,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl11633_4286,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl6321]) ).
thf(zip_derived_cl11656,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl11633]) ).
thf(zip_derived_cl37_4287,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4288,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_4289,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4290,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11699,plain,
( ( ( sum @ ( sum @ n13 @ n12 ) @ ( sum @ n10 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n1 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11656,zip_derived_cl37,zip_derived_cl16,zip_derived_cl37,zip_derived_cl16]) ).
thf(zip_derived_cl329_4291,plain,
( ( sum @ n13 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl269_4292,plain,
( ( sum @ n10 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_4293,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_4294,plain,
( ( sum @ n13 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_4295,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12526,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n11 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11699,zip_derived_cl329,zip_derived_cl269,zip_derived_cl132,zip_derived_cl332,zip_derived_cl192]) ).
thf('439',plain,
( ( sk__1 != n11 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12526]) ).
thf('440',plain,
( ( sk_ = n15 )
| ( sk_ = n14 )
| ( sk_ = n16 )
| ( sk_ = n19 )
| ( sk_ = n12 )
| ( sk_ = n18 )
| ( sk_ = n9 )
| ( sk_ = n1 )
| ( sk_ = n4 )
| ( sk_ = n6 )
| ( sk_ = n7 )
| ( sk_ = n11 )
| ( sk_ = n10 )
| ( sk_ = n17 )
| ( sk_ = n20 )
| ( sk_ = n5 )
| ( sk_ = n2 )
| ( sk_ = n13 )
| ( sk_ = n8 )
| ( sk_ = n0 )
| ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl440_4296,plain,
( ( sum @ n18 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_4297,plain,
( ( sum @ n14 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_4298,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl485]) ).
thf(zip_derived_cl9494_4299,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n4 ) @ ( sum @ n2 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl4167]) ).
thf(zip_derived_cl9510,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl9494]) ).
thf(zip_derived_cl38_4300,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4301,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_4302,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4303,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9553,plain,
( ( ( sum @ ( sum @ n14 @ n4 ) @ ( sum @ n2 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9510,zip_derived_cl38,zip_derived_cl17,zip_derived_cl38,zip_derived_cl17]) ).
thf(zip_derived_cl102_4304,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11784,plain,
( ( ( sum @ ( sum @ n14 @ n4 ) @ n18 )
!= ( sum @ ( sum @ n14 @ n16 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9553,zip_derived_cl102]) ).
thf(zip_derived_cl12362,plain,
( ( ( sum @ ( sum @ n14 @ n4 ) @ n18 )
!= ( sum @ n9 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl11784]) ).
thf(zip_derived_cl342_4305,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl239_4306,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12373,plain,
( ( ( sum @ n18 @ n18 )
!= n15 )
<= ( ( sk__1 = n3 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12362,zip_derived_cl342,zip_derived_cl239]) ).
thf(zip_derived_cl13247,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n3 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl12373]) ).
thf('441',plain,
( ( sk__1 != n3 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13247]) ).
thf('442',plain,
( ( sk__1 = n3 )
| ( sk__1 = n11 )
| ( sk__1 = n1 )
| ( sk__1 = n0 )
| ( sk__1 = n17 )
| ( sk__1 = n2 )
| ( sk__1 = n16 )
| ( sk__1 = n6 )
| ( sk__1 = n5 )
| ( sk__1 = n9 )
| ( sk__1 = n10 )
| ( sk__1 = n7 )
| ( sk__1 = n8 )
| ( sk__1 = n12 )
| ( sk__1 = n13 )
| ( sk__1 = n14 )
| ( sk__1 = n18 )
| ( sk__1 = n15 )
| ( sk__1 = n19 )
| ( sk__1 = n20 )
| ( sk__1 = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl14102,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257','258','259','260','261','262','263','264','265','266','267','268','269','270','271','272','273','274','275','276','277','278','279','280','281','282','283','284','285','286','287','288','289','290','291','292','293','294','295','296','297','298','299','300','301','302','303','304','305','306','307','308','309','310','311','312','313','314','315','316','317','318','319','320','321','322','323','324','325','326','327','328','329','330','331','332','333','334','335','336','337','338','339','340','341','342','343','344','345','346','347','348','349','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM376+1.020 : TPTP v9.2.0. Released v3.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vFJAuKSo9d true
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 16:20:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.55/0.70 % Total configuration time : 435
% 0.55/0.70 % Estimated wc time : 1092
% 0.55/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 13.78/2.59 % Solved by fo/fo1_av.sh.
% 13.78/2.59 % done 3559 iterations in 1.118s
% 13.78/2.59 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 13.78/2.59 % SZS output start Refutation
% See solution above
% 14.19/2.63
% 14.19/2.63
% 14.19/2.63 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 14.19/2.63 % Terminating...
% 14.22/2.70 % Runner terminated.
% 14.22/2.70 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------