%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM376+1.025 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jNK50L4LXN true
% Computer : n014.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 04:46:24 PM UTC 2025
% Result : Unsatisfiable 24.59s 4.14s
% Output : Refutation 24.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 10583 (6054 unt; 0 typ; 0 def)
% Number of atoms : 18690 (18689 equ; 0 cnn)
% Maximal formula atoms : 1106 ( 1 avg)
% Number of connectives : 51471 (4850 ~; 826 |;3433 &;38514 @)
% ( 0 <=>; 0 =>;3848 <=; 0 <~>)
% Maximal formula depth : 1058 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 31 usr; 29 con; 0-2 aty)
% Number of variables : 2 ( 0 ^; 0 !; 2 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
thf(n23_type,type,
n23: $i ).
thf(n25_type,type,
n25: $i ).
thf(n20_type,type,
n20: $i ).
thf(n12_type,type,
n12: $i ).
thf(pred_type,type,
pred: $i > $i ).
thf(n0_type,type,
n0: $i ).
thf(n4_type,type,
n4: $i ).
thf(n8_type,type,
n8: $i ).
thf(n24_type,type,
n24: $i ).
thf(n5_type,type,
n5: $i ).
thf(n19_type,type,
n19: $i ).
thf(succ_type,type,
succ: $i > $i ).
thf(n14_type,type,
n14: $i ).
thf(n11_type,type,
n11: $i ).
thf(sk__type,type,
sk_: $i ).
thf(sum_type,type,
sum: $i > $i > $i ).
thf(n21_type,type,
n21: $i ).
thf(n10_type,type,
n10: $i ).
thf(sk__1_type,type,
sk__1: $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(n22_type,type,
n22: $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] :
( ( n24 != n25 )
& ( n23 != n25 )
& ( n23 != n24 )
& ( n22 != n25 )
& ( n22 != n24 )
& ( n22 != n23 )
& ( n21 != n25 )
& ( n21 != n24 )
& ( n21 != n23 )
& ( n21 != n22 )
& ( n20 != n25 )
& ( n20 != n24 )
& ( n20 != n23 )
& ( n20 != n22 )
& ( n20 != n21 )
& ( n19 != n25 )
& ( n19 != n24 )
& ( n19 != n23 )
& ( n19 != n22 )
& ( n19 != n21 )
& ( n19 != n20 )
& ( n18 != n25 )
& ( n18 != n24 )
& ( n18 != n23 )
& ( n18 != n22 )
& ( n18 != n21 )
& ( n18 != n20 )
& ( n18 != n19 )
& ( n17 != n25 )
& ( n17 != n24 )
& ( n17 != n23 )
& ( n17 != n22 )
& ( n17 != n21 )
& ( n17 != n20 )
& ( n17 != n19 )
& ( n17 != n18 )
& ( n16 != n25 )
& ( n16 != n24 )
& ( n16 != n23 )
& ( n16 != n22 )
& ( n16 != n21 )
& ( n16 != n20 )
& ( n16 != n19 )
& ( n16 != n18 )
& ( n16 != n17 )
& ( n15 != n25 )
& ( n15 != n24 )
& ( n15 != n23 )
& ( n15 != n22 )
& ( n15 != n21 )
& ( n15 != n20 )
& ( n15 != n19 )
& ( n15 != n18 )
& ( n15 != n17 )
& ( n15 != n16 )
& ( n14 != n25 )
& ( n14 != n24 )
& ( n14 != n23 )
& ( n14 != n22 )
& ( n14 != n21 )
& ( n14 != n20 )
& ( n14 != n19 )
& ( n14 != n18 )
& ( n14 != n17 )
& ( n14 != n16 )
& ( n14 != n15 )
& ( n13 != n25 )
& ( n13 != n24 )
& ( n13 != n23 )
& ( n13 != n22 )
& ( n13 != n21 )
& ( n13 != n20 )
& ( n13 != n19 )
& ( n13 != n18 )
& ( n13 != n17 )
& ( n13 != n16 )
& ( n13 != n15 )
& ( n13 != n14 )
& ( n12 != n25 )
& ( n12 != n24 )
& ( n12 != n23 )
& ( n12 != n22 )
& ( n12 != n21 )
& ( n12 != n20 )
& ( n12 != n19 )
& ( n12 != n18 )
& ( n12 != n17 )
& ( n12 != n16 )
& ( n12 != n15 )
& ( n12 != n14 )
& ( n12 != n13 )
& ( n11 != n25 )
& ( n11 != n24 )
& ( n11 != n23 )
& ( n11 != n22 )
& ( n11 != n21 )
& ( n11 != n20 )
& ( n11 != n19 )
& ( n11 != n18 )
& ( n11 != n17 )
& ( n11 != n16 )
& ( n11 != n15 )
& ( n11 != n14 )
& ( n11 != n13 )
& ( n11 != n12 )
& ( n10 != n25 )
& ( n10 != n24 )
& ( n10 != n23 )
& ( n10 != n22 )
& ( n10 != n21 )
& ( n10 != n20 )
& ( n10 != n19 )
& ( n10 != n18 )
& ( n10 != n17 )
& ( n10 != n16 )
& ( n10 != n15 )
& ( n10 != n14 )
& ( n10 != n13 )
& ( n10 != n12 )
& ( n10 != n11 )
& ( n9 != n25 )
& ( n9 != n24 )
& ( n9 != n23 )
& ( n9 != n22 )
& ( n9 != n21 )
& ( n9 != n20 )
& ( n9 != n19 )
& ( n9 != n18 )
& ( n9 != n17 )
& ( n9 != n16 )
& ( n9 != n15 )
& ( n9 != n14 )
& ( n9 != n13 )
& ( n9 != n12 )
& ( n9 != n11 )
& ( n9 != n10 )
& ( n8 != n25 )
& ( n8 != n24 )
& ( n8 != n23 )
& ( n8 != n22 )
& ( n8 != n21 )
& ( 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 != n25 )
& ( n7 != n24 )
& ( n7 != n23 )
& ( n7 != n22 )
& ( n7 != n21 )
& ( 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 != n25 )
& ( n6 != n24 )
& ( n6 != n23 )
& ( n6 != n22 )
& ( n6 != n21 )
& ( 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 != n25 )
& ( n5 != n24 )
& ( n5 != n23 )
& ( n5 != n22 )
& ( n5 != n21 )
& ( 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 != n25 )
& ( n4 != n24 )
& ( n4 != n23 )
& ( n4 != n22 )
& ( n4 != n21 )
& ( 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 != n25 )
& ( n3 != n24 )
& ( n3 != n23 )
& ( n3 != n22 )
& ( n3 != n21 )
& ( 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 != n25 )
& ( n2 != n24 )
& ( n2 != n23 )
& ( n2 != n22 )
& ( n2 != n21 )
& ( 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 != n25 )
& ( n1 != n24 )
& ( n1 != n23 )
& ( n1 != n22 )
& ( n1 != n21 )
& ( 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 != n25 )
& ( n0 != n24 )
& ( n0 != n23 )
& ( n0 != n22 )
& ( n0 != n21 )
& ( 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 = n25 )
| ( Y = n24 )
| ( Y = n23 )
| ( Y = n22 )
| ( Y = n21 )
| ( 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 = n25 )
| ( X = n24 )
| ( X = n23 )
| ( X = n22 )
| ( X = n21 )
| ( 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 @ n25 @ n25 )
= n24 )
& ( ( sum @ n25 @ n24 )
= n23 )
& ( ( sum @ n25 @ n23 )
= n22 )
& ( ( sum @ n25 @ n22 )
= n21 )
& ( ( sum @ n25 @ n21 )
= n20 )
& ( ( sum @ n25 @ n20 )
= n19 )
& ( ( sum @ n25 @ n19 )
= n18 )
& ( ( sum @ n25 @ n18 )
= n17 )
& ( ( sum @ n25 @ n17 )
= n16 )
& ( ( sum @ n25 @ n16 )
= n15 )
& ( ( sum @ n25 @ n15 )
= n14 )
& ( ( sum @ n25 @ n14 )
= n13 )
& ( ( sum @ n25 @ n13 )
= n12 )
& ( ( sum @ n25 @ n12 )
= n11 )
& ( ( sum @ n25 @ n11 )
= n10 )
& ( ( sum @ n25 @ n10 )
= n9 )
& ( ( sum @ n25 @ n9 )
= n8 )
& ( ( sum @ n25 @ n8 )
= n7 )
& ( ( sum @ n25 @ n7 )
= n6 )
& ( ( sum @ n25 @ n6 )
= n5 )
& ( ( sum @ n25 @ n5 )
= n4 )
& ( ( sum @ n25 @ n4 )
= n3 )
& ( ( sum @ n25 @ n3 )
= n2 )
& ( ( sum @ n25 @ n2 )
= n1 )
& ( ( sum @ n25 @ n1 )
= n0 )
& ( ( sum @ n25 @ n0 )
= n25 )
& ( ( sum @ n24 @ n25 )
= n23 )
& ( ( sum @ n24 @ n24 )
= n22 )
& ( ( sum @ n24 @ n23 )
= n21 )
& ( ( sum @ n24 @ n22 )
= n20 )
& ( ( sum @ n24 @ n21 )
= n19 )
& ( ( sum @ n24 @ n20 )
= n18 )
& ( ( sum @ n24 @ n19 )
= n17 )
& ( ( sum @ n24 @ n18 )
= n16 )
& ( ( sum @ n24 @ n17 )
= n15 )
& ( ( sum @ n24 @ n16 )
= n14 )
& ( ( sum @ n24 @ n15 )
= n13 )
& ( ( sum @ n24 @ n14 )
= n12 )
& ( ( sum @ n24 @ n13 )
= n11 )
& ( ( sum @ n24 @ n12 )
= n10 )
& ( ( sum @ n24 @ n11 )
= n9 )
& ( ( sum @ n24 @ n10 )
= n8 )
& ( ( sum @ n24 @ n9 )
= n7 )
& ( ( sum @ n24 @ n8 )
= n6 )
& ( ( sum @ n24 @ n7 )
= n5 )
& ( ( sum @ n24 @ n6 )
= n4 )
& ( ( sum @ n24 @ n5 )
= n3 )
& ( ( sum @ n24 @ n4 )
= n2 )
& ( ( sum @ n24 @ n3 )
= n1 )
& ( ( sum @ n24 @ n2 )
= n0 )
& ( ( sum @ n24 @ n1 )
= n25 )
& ( ( sum @ n24 @ n0 )
= n24 )
& ( ( sum @ n23 @ n25 )
= n22 )
& ( ( sum @ n23 @ n24 )
= n21 )
& ( ( sum @ n23 @ n23 )
= n20 )
& ( ( sum @ n23 @ n22 )
= n19 )
& ( ( sum @ n23 @ n21 )
= n18 )
& ( ( sum @ n23 @ n20 )
= n17 )
& ( ( sum @ n23 @ n19 )
= n16 )
& ( ( sum @ n23 @ n18 )
= n15 )
& ( ( sum @ n23 @ n17 )
= n14 )
& ( ( sum @ n23 @ n16 )
= n13 )
& ( ( sum @ n23 @ n15 )
= n12 )
& ( ( sum @ n23 @ n14 )
= n11 )
& ( ( sum @ n23 @ n13 )
= n10 )
& ( ( sum @ n23 @ n12 )
= n9 )
& ( ( sum @ n23 @ n11 )
= n8 )
& ( ( sum @ n23 @ n10 )
= n7 )
& ( ( sum @ n23 @ n9 )
= n6 )
& ( ( sum @ n23 @ n8 )
= n5 )
& ( ( sum @ n23 @ n7 )
= n4 )
& ( ( sum @ n23 @ n6 )
= n3 )
& ( ( sum @ n23 @ n5 )
= n2 )
& ( ( sum @ n23 @ n4 )
= n1 )
& ( ( sum @ n23 @ n3 )
= n0 )
& ( ( sum @ n23 @ n2 )
= n25 )
& ( ( sum @ n23 @ n1 )
= n24 )
& ( ( sum @ n23 @ n0 )
= n23 )
& ( ( sum @ n22 @ n25 )
= n21 )
& ( ( sum @ n22 @ n24 )
= n20 )
& ( ( sum @ n22 @ n23 )
= n19 )
& ( ( sum @ n22 @ n22 )
= n18 )
& ( ( sum @ n22 @ n21 )
= n17 )
& ( ( sum @ n22 @ n20 )
= n16 )
& ( ( sum @ n22 @ n19 )
= n15 )
& ( ( sum @ n22 @ n18 )
= n14 )
& ( ( sum @ n22 @ n17 )
= n13 )
& ( ( sum @ n22 @ n16 )
= n12 )
& ( ( sum @ n22 @ n15 )
= n11 )
& ( ( sum @ n22 @ n14 )
= n10 )
& ( ( sum @ n22 @ n13 )
= n9 )
& ( ( sum @ n22 @ n12 )
= n8 )
& ( ( sum @ n22 @ n11 )
= n7 )
& ( ( sum @ n22 @ n10 )
= n6 )
& ( ( sum @ n22 @ n9 )
= n5 )
& ( ( sum @ n22 @ n8 )
= n4 )
& ( ( sum @ n22 @ n7 )
= n3 )
& ( ( sum @ n22 @ n6 )
= n2 )
& ( ( sum @ n22 @ n5 )
= n1 )
& ( ( sum @ n22 @ n4 )
= n0 )
& ( ( sum @ n22 @ n3 )
= n25 )
& ( ( sum @ n22 @ n2 )
= n24 )
& ( ( sum @ n22 @ n1 )
= n23 )
& ( ( sum @ n22 @ n0 )
= n22 )
& ( ( sum @ n21 @ n25 )
= n20 )
& ( ( sum @ n21 @ n24 )
= n19 )
& ( ( sum @ n21 @ n23 )
= n18 )
& ( ( sum @ n21 @ n22 )
= n17 )
& ( ( sum @ n21 @ n21 )
= n16 )
& ( ( sum @ n21 @ n20 )
= n15 )
& ( ( sum @ n21 @ n19 )
= n14 )
& ( ( sum @ n21 @ n18 )
= n13 )
& ( ( sum @ n21 @ n17 )
= n12 )
& ( ( sum @ n21 @ n16 )
= n11 )
& ( ( sum @ n21 @ n15 )
= n10 )
& ( ( sum @ n21 @ n14 )
= n9 )
& ( ( sum @ n21 @ n13 )
= n8 )
& ( ( sum @ n21 @ n12 )
= n7 )
& ( ( sum @ n21 @ n11 )
= n6 )
& ( ( sum @ n21 @ n10 )
= n5 )
& ( ( sum @ n21 @ n9 )
= n4 )
& ( ( sum @ n21 @ n8 )
= n3 )
& ( ( sum @ n21 @ n7 )
= n2 )
& ( ( sum @ n21 @ n6 )
= n1 )
& ( ( sum @ n21 @ n5 )
= n0 )
& ( ( sum @ n21 @ n4 )
= n25 )
& ( ( sum @ n21 @ n3 )
= n24 )
& ( ( sum @ n21 @ n2 )
= n23 )
& ( ( sum @ n21 @ n1 )
= n22 )
& ( ( sum @ n21 @ n0 )
= n21 )
& ( ( sum @ n20 @ n25 )
= n19 )
& ( ( sum @ n20 @ n24 )
= n18 )
& ( ( sum @ n20 @ n23 )
= n17 )
& ( ( sum @ n20 @ n22 )
= n16 )
& ( ( sum @ n20 @ n21 )
= n15 )
& ( ( sum @ n20 @ n20 )
= n14 )
& ( ( sum @ n20 @ n19 )
= n13 )
& ( ( sum @ n20 @ n18 )
= n12 )
& ( ( sum @ n20 @ n17 )
= n11 )
& ( ( sum @ n20 @ n16 )
= n10 )
& ( ( sum @ n20 @ n15 )
= n9 )
& ( ( sum @ n20 @ n14 )
= n8 )
& ( ( sum @ n20 @ n13 )
= n7 )
& ( ( sum @ n20 @ n12 )
= n6 )
& ( ( sum @ n20 @ n11 )
= n5 )
& ( ( sum @ n20 @ n10 )
= n4 )
& ( ( sum @ n20 @ n9 )
= n3 )
& ( ( sum @ n20 @ n8 )
= n2 )
& ( ( sum @ n20 @ n7 )
= n1 )
& ( ( sum @ n20 @ n6 )
= n0 )
& ( ( sum @ n20 @ n5 )
= n25 )
& ( ( sum @ n20 @ n4 )
= n24 )
& ( ( sum @ n20 @ n3 )
= n23 )
& ( ( sum @ n20 @ n2 )
= n22 )
& ( ( sum @ n20 @ n1 )
= n21 )
& ( ( sum @ n20 @ n0 )
= n20 )
& ( ( sum @ n19 @ n25 )
= n18 )
& ( ( sum @ n19 @ n24 )
= n17 )
& ( ( sum @ n19 @ n23 )
= n16 )
& ( ( sum @ n19 @ n22 )
= n15 )
& ( ( sum @ n19 @ n21 )
= n14 )
& ( ( sum @ n19 @ n20 )
= n13 )
& ( ( sum @ n19 @ n19 )
= n12 )
& ( ( sum @ n19 @ n18 )
= n11 )
& ( ( sum @ n19 @ n17 )
= n10 )
& ( ( sum @ n19 @ n16 )
= n9 )
& ( ( sum @ n19 @ n15 )
= n8 )
& ( ( sum @ n19 @ n14 )
= n7 )
& ( ( sum @ n19 @ n13 )
= n6 )
& ( ( sum @ n19 @ n12 )
= n5 )
& ( ( sum @ n19 @ n11 )
= n4 )
& ( ( sum @ n19 @ n10 )
= n3 )
& ( ( sum @ n19 @ n9 )
= n2 )
& ( ( sum @ n19 @ n8 )
= n1 )
& ( ( sum @ n19 @ n7 )
= n0 )
& ( ( sum @ n19 @ n6 )
= n25 )
& ( ( sum @ n19 @ n5 )
= n24 )
& ( ( sum @ n19 @ n4 )
= n23 )
& ( ( sum @ n19 @ n3 )
= n22 )
& ( ( sum @ n19 @ n2 )
= n21 )
& ( ( sum @ n19 @ n1 )
= n20 )
& ( ( sum @ n19 @ n0 )
= n19 )
& ( ( sum @ n18 @ n25 )
= n17 )
& ( ( sum @ n18 @ n24 )
= n16 )
& ( ( sum @ n18 @ n23 )
= n15 )
& ( ( sum @ n18 @ n22 )
= n14 )
& ( ( sum @ n18 @ n21 )
= n13 )
& ( ( sum @ n18 @ n20 )
= n12 )
& ( ( sum @ n18 @ n19 )
= n11 )
& ( ( sum @ n18 @ n18 )
= n10 )
& ( ( sum @ n18 @ n17 )
= n9 )
& ( ( sum @ n18 @ n16 )
= n8 )
& ( ( sum @ n18 @ n15 )
= n7 )
& ( ( sum @ n18 @ n14 )
= n6 )
& ( ( sum @ n18 @ n13 )
= n5 )
& ( ( sum @ n18 @ n12 )
= n4 )
& ( ( sum @ n18 @ n11 )
= n3 )
& ( ( sum @ n18 @ n10 )
= n2 )
& ( ( sum @ n18 @ n9 )
= n1 )
& ( ( sum @ n18 @ n8 )
= n0 )
& ( ( sum @ n18 @ n7 )
= n25 )
& ( ( sum @ n18 @ n6 )
= n24 )
& ( ( sum @ n18 @ n5 )
= n23 )
& ( ( sum @ n18 @ n4 )
= n22 )
& ( ( sum @ n18 @ n3 )
= n21 )
& ( ( sum @ n18 @ n2 )
= n20 )
& ( ( sum @ n18 @ n1 )
= n19 )
& ( ( sum @ n18 @ n0 )
= n18 )
& ( ( sum @ n17 @ n25 )
= n16 )
& ( ( sum @ n17 @ n24 )
= n15 )
& ( ( sum @ n17 @ n23 )
= n14 )
& ( ( sum @ n17 @ n22 )
= n13 )
& ( ( sum @ n17 @ n21 )
= n12 )
& ( ( sum @ n17 @ n20 )
= n11 )
& ( ( sum @ n17 @ n19 )
= n10 )
& ( ( sum @ n17 @ n18 )
= n9 )
& ( ( sum @ n17 @ n17 )
= n8 )
& ( ( sum @ n17 @ n16 )
= n7 )
& ( ( sum @ n17 @ n15 )
= n6 )
& ( ( sum @ n17 @ n14 )
= n5 )
& ( ( sum @ n17 @ n13 )
= n4 )
& ( ( sum @ n17 @ n12 )
= n3 )
& ( ( sum @ n17 @ n11 )
= n2 )
& ( ( sum @ n17 @ n10 )
= n1 )
& ( ( sum @ n17 @ n9 )
= n0 )
& ( ( sum @ n17 @ n8 )
= n25 )
& ( ( sum @ n17 @ n7 )
= n24 )
& ( ( sum @ n17 @ n6 )
= n23 )
& ( ( sum @ n17 @ n5 )
= n22 )
& ( ( sum @ n17 @ n4 )
= n21 )
& ( ( sum @ n17 @ n3 )
= n20 )
& ( ( sum @ n17 @ n2 )
= n19 )
& ( ( sum @ n17 @ n1 )
= n18 )
& ( ( sum @ n17 @ n0 )
= n17 )
& ( ( sum @ n16 @ n25 )
= n15 )
& ( ( sum @ n16 @ n24 )
= n14 )
& ( ( sum @ n16 @ n23 )
= n13 )
& ( ( sum @ n16 @ n22 )
= n12 )
& ( ( sum @ n16 @ n21 )
= n11 )
& ( ( sum @ n16 @ n20 )
= n10 )
& ( ( sum @ n16 @ n19 )
= n9 )
& ( ( sum @ n16 @ n18 )
= n8 )
& ( ( sum @ n16 @ n17 )
= n7 )
& ( ( sum @ n16 @ n16 )
= n6 )
& ( ( sum @ n16 @ n15 )
= n5 )
& ( ( sum @ n16 @ n14 )
= n4 )
& ( ( sum @ n16 @ n13 )
= n3 )
& ( ( sum @ n16 @ n12 )
= n2 )
& ( ( sum @ n16 @ n11 )
= n1 )
& ( ( sum @ n16 @ n10 )
= n0 )
& ( ( sum @ n16 @ n9 )
= n25 )
& ( ( sum @ n16 @ n8 )
= n24 )
& ( ( sum @ n16 @ n7 )
= n23 )
& ( ( sum @ n16 @ n6 )
= n22 )
& ( ( sum @ n16 @ n5 )
= n21 )
& ( ( sum @ n16 @ n4 )
= n20 )
& ( ( sum @ n16 @ n3 )
= n19 )
& ( ( sum @ n16 @ n2 )
= n18 )
& ( ( sum @ n16 @ n1 )
= n17 )
& ( ( sum @ n16 @ n0 )
= n16 )
& ( ( sum @ n15 @ n25 )
= n14 )
& ( ( sum @ n15 @ n24 )
= n13 )
& ( ( sum @ n15 @ n23 )
= n12 )
& ( ( sum @ n15 @ n22 )
= n11 )
& ( ( sum @ n15 @ n21 )
= n10 )
& ( ( sum @ n15 @ n20 )
= n9 )
& ( ( sum @ n15 @ n19 )
= n8 )
& ( ( sum @ n15 @ n18 )
= n7 )
& ( ( sum @ n15 @ n17 )
= n6 )
& ( ( sum @ n15 @ n16 )
= n5 )
& ( ( sum @ n15 @ n15 )
= n4 )
& ( ( sum @ n15 @ n14 )
= n3 )
& ( ( sum @ n15 @ n13 )
= n2 )
& ( ( sum @ n15 @ n12 )
= n1 )
& ( ( sum @ n15 @ n11 )
= n0 )
& ( ( sum @ n15 @ n10 )
= n25 )
& ( ( sum @ n15 @ n9 )
= n24 )
& ( ( sum @ n15 @ n8 )
= n23 )
& ( ( sum @ n15 @ n7 )
= n22 )
& ( ( sum @ n15 @ n6 )
= n21 )
& ( ( 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 @ n25 )
= n13 )
& ( ( sum @ n14 @ n24 )
= n12 )
& ( ( sum @ n14 @ n23 )
= n11 )
& ( ( sum @ n14 @ n22 )
= n10 )
& ( ( sum @ n14 @ n21 )
= n9 )
& ( ( sum @ n14 @ n20 )
= n8 )
& ( ( sum @ n14 @ n19 )
= n7 )
& ( ( sum @ n14 @ n18 )
= n6 )
& ( ( sum @ n14 @ n17 )
= n5 )
& ( ( sum @ n14 @ n16 )
= n4 )
& ( ( sum @ n14 @ n15 )
= n3 )
& ( ( sum @ n14 @ n14 )
= n2 )
& ( ( sum @ n14 @ n13 )
= n1 )
& ( ( sum @ n14 @ n12 )
= n0 )
& ( ( sum @ n14 @ n11 )
= n25 )
& ( ( sum @ n14 @ n10 )
= n24 )
& ( ( sum @ n14 @ n9 )
= n23 )
& ( ( sum @ n14 @ n8 )
= n22 )
& ( ( sum @ n14 @ n7 )
= n21 )
& ( ( 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 @ n25 )
= n12 )
& ( ( sum @ n13 @ n24 )
= n11 )
& ( ( sum @ n13 @ n23 )
= n10 )
& ( ( sum @ n13 @ n22 )
= n9 )
& ( ( sum @ n13 @ n21 )
= n8 )
& ( ( sum @ n13 @ n20 )
= n7 )
& ( ( sum @ n13 @ n19 )
= n6 )
& ( ( sum @ n13 @ n18 )
= n5 )
& ( ( sum @ n13 @ n17 )
= n4 )
& ( ( sum @ n13 @ n16 )
= n3 )
& ( ( sum @ n13 @ n15 )
= n2 )
& ( ( sum @ n13 @ n14 )
= n1 )
& ( ( sum @ n13 @ n13 )
= n0 )
& ( ( sum @ n13 @ n12 )
= n25 )
& ( ( sum @ n13 @ n11 )
= n24 )
& ( ( sum @ n13 @ n10 )
= n23 )
& ( ( sum @ n13 @ n9 )
= n22 )
& ( ( sum @ n13 @ n8 )
= n21 )
& ( ( 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 @ n25 )
= n11 )
& ( ( sum @ n12 @ n24 )
= n10 )
& ( ( sum @ n12 @ n23 )
= n9 )
& ( ( sum @ n12 @ n22 )
= n8 )
& ( ( sum @ n12 @ n21 )
= n7 )
& ( ( sum @ n12 @ n20 )
= n6 )
& ( ( sum @ n12 @ n19 )
= n5 )
& ( ( sum @ n12 @ n18 )
= n4 )
& ( ( sum @ n12 @ n17 )
= n3 )
& ( ( sum @ n12 @ n16 )
= n2 )
& ( ( sum @ n12 @ n15 )
= n1 )
& ( ( sum @ n12 @ n14 )
= n0 )
& ( ( sum @ n12 @ n13 )
= n25 )
& ( ( sum @ n12 @ n12 )
= n24 )
& ( ( sum @ n12 @ n11 )
= n23 )
& ( ( sum @ n12 @ n10 )
= n22 )
& ( ( sum @ n12 @ n9 )
= n21 )
& ( ( 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 @ n25 )
= n10 )
& ( ( sum @ n11 @ n24 )
= n9 )
& ( ( sum @ n11 @ n23 )
= n8 )
& ( ( sum @ n11 @ n22 )
= n7 )
& ( ( sum @ n11 @ n21 )
= n6 )
& ( ( sum @ n11 @ n20 )
= n5 )
& ( ( sum @ n11 @ n19 )
= n4 )
& ( ( sum @ n11 @ n18 )
= n3 )
& ( ( sum @ n11 @ n17 )
= n2 )
& ( ( sum @ n11 @ n16 )
= n1 )
& ( ( sum @ n11 @ n15 )
= n0 )
& ( ( sum @ n11 @ n14 )
= n25 )
& ( ( sum @ n11 @ n13 )
= n24 )
& ( ( sum @ n11 @ n12 )
= n23 )
& ( ( sum @ n11 @ n11 )
= n22 )
& ( ( sum @ n11 @ n10 )
= n21 )
& ( ( 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 @ n25 )
= n9 )
& ( ( sum @ n10 @ n24 )
= n8 )
& ( ( sum @ n10 @ n23 )
= n7 )
& ( ( sum @ n10 @ n22 )
= n6 )
& ( ( sum @ n10 @ n21 )
= n5 )
& ( ( sum @ n10 @ n20 )
= n4 )
& ( ( sum @ n10 @ n19 )
= n3 )
& ( ( sum @ n10 @ n18 )
= n2 )
& ( ( sum @ n10 @ n17 )
= n1 )
& ( ( sum @ n10 @ n16 )
= n0 )
& ( ( sum @ n10 @ n15 )
= n25 )
& ( ( sum @ n10 @ n14 )
= n24 )
& ( ( sum @ n10 @ n13 )
= n23 )
& ( ( sum @ n10 @ n12 )
= n22 )
& ( ( sum @ n10 @ n11 )
= n21 )
& ( ( 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 @ n25 )
= n8 )
& ( ( sum @ n9 @ n24 )
= n7 )
& ( ( sum @ n9 @ n23 )
= n6 )
& ( ( sum @ n9 @ n22 )
= n5 )
& ( ( sum @ n9 @ n21 )
= n4 )
& ( ( sum @ n9 @ n20 )
= n3 )
& ( ( sum @ n9 @ n19 )
= n2 )
& ( ( sum @ n9 @ n18 )
= n1 )
& ( ( sum @ n9 @ n17 )
= n0 )
& ( ( sum @ n9 @ n16 )
= n25 )
& ( ( sum @ n9 @ n15 )
= n24 )
& ( ( sum @ n9 @ n14 )
= n23 )
& ( ( sum @ n9 @ n13 )
= n22 )
& ( ( sum @ n9 @ n12 )
= n21 )
& ( ( 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 @ n25 )
= n7 )
& ( ( sum @ n8 @ n24 )
= n6 )
& ( ( sum @ n8 @ n23 )
= n5 )
& ( ( sum @ n8 @ n22 )
= n4 )
& ( ( sum @ n8 @ n21 )
= n3 )
& ( ( sum @ n8 @ n20 )
= n2 )
& ( ( sum @ n8 @ n19 )
= n1 )
& ( ( sum @ n8 @ n18 )
= n0 )
& ( ( sum @ n8 @ n17 )
= n25 )
& ( ( sum @ n8 @ n16 )
= n24 )
& ( ( sum @ n8 @ n15 )
= n23 )
& ( ( sum @ n8 @ n14 )
= n22 )
& ( ( sum @ n8 @ n13 )
= n21 )
& ( ( 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 @ n25 )
= n6 )
& ( ( sum @ n7 @ n24 )
= n5 )
& ( ( sum @ n7 @ n23 )
= n4 )
& ( ( sum @ n7 @ n22 )
= n3 )
& ( ( sum @ n7 @ n21 )
= n2 )
& ( ( sum @ n7 @ n20 )
= n1 )
& ( ( sum @ n7 @ n19 )
= n0 )
& ( ( sum @ n7 @ n18 )
= n25 )
& ( ( sum @ n7 @ n17 )
= n24 )
& ( ( sum @ n7 @ n16 )
= n23 )
& ( ( sum @ n7 @ n15 )
= n22 )
& ( ( sum @ n7 @ n14 )
= n21 )
& ( ( 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 @ n25 )
= n5 )
& ( ( sum @ n6 @ n24 )
= n4 )
& ( ( sum @ n6 @ n23 )
= n3 )
& ( ( sum @ n6 @ n22 )
= n2 )
& ( ( sum @ n6 @ n21 )
= n1 )
& ( ( sum @ n6 @ n20 )
= n0 )
& ( ( sum @ n6 @ n19 )
= n25 )
& ( ( sum @ n6 @ n18 )
= n24 )
& ( ( sum @ n6 @ n17 )
= n23 )
& ( ( sum @ n6 @ n16 )
= n22 )
& ( ( sum @ n6 @ n15 )
= n21 )
& ( ( 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 @ n25 )
= n4 )
& ( ( sum @ n5 @ n24 )
= n3 )
& ( ( sum @ n5 @ n23 )
= n2 )
& ( ( sum @ n5 @ n22 )
= n1 )
& ( ( sum @ n5 @ n21 )
= n0 )
& ( ( sum @ n5 @ n20 )
= n25 )
& ( ( sum @ n5 @ n19 )
= n24 )
& ( ( sum @ n5 @ n18 )
= n23 )
& ( ( sum @ n5 @ n17 )
= n22 )
& ( ( sum @ n5 @ n16 )
= n21 )
& ( ( 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 @ n25 )
= n3 )
& ( ( sum @ n4 @ n24 )
= n2 )
& ( ( sum @ n4 @ n23 )
= n1 )
& ( ( sum @ n4 @ n22 )
= n0 )
& ( ( sum @ n4 @ n21 )
= n25 )
& ( ( sum @ n4 @ n20 )
= n24 )
& ( ( sum @ n4 @ n19 )
= n23 )
& ( ( sum @ n4 @ n18 )
= n22 )
& ( ( sum @ n4 @ n17 )
= n21 )
& ( ( 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 @ n25 )
= n2 )
& ( ( sum @ n3 @ n24 )
= n1 )
& ( ( sum @ n3 @ n23 )
= n0 )
& ( ( sum @ n3 @ n22 )
= n25 )
& ( ( sum @ n3 @ n21 )
= n24 )
& ( ( sum @ n3 @ n20 )
= n23 )
& ( ( sum @ n3 @ n19 )
= n22 )
& ( ( sum @ n3 @ n18 )
= n21 )
& ( ( 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 @ n25 )
= n1 )
& ( ( sum @ n2 @ n24 )
= n0 )
& ( ( sum @ n2 @ n23 )
= n25 )
& ( ( sum @ n2 @ n22 )
= n24 )
& ( ( sum @ n2 @ n21 )
= n23 )
& ( ( sum @ n2 @ n20 )
= n22 )
& ( ( sum @ n2 @ n19 )
= n21 )
& ( ( 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 @ n25 )
= n0 )
& ( ( sum @ n1 @ n24 )
= n25 )
& ( ( sum @ n1 @ n23 )
= n24 )
& ( ( sum @ n1 @ n22 )
= n23 )
& ( ( sum @ n1 @ n21 )
= n22 )
& ( ( sum @ n1 @ n20 )
= n21 )
& ( ( 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 @ n25 )
= n25 )
& ( ( sum @ n0 @ n24 )
= n24 )
& ( ( sum @ n0 @ n23 )
= n23 )
& ( ( sum @ n0 @ n22 )
= n22 )
& ( ( sum @ n0 @ n21 )
= n21 )
& ( ( 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 @ n25 )
= n24 )
& ( ( pred @ n24 )
= n23 )
& ( ( pred @ n23 )
= n22 )
& ( ( pred @ n22 )
= n21 )
& ( ( pred @ n21 )
= n20 )
& ( ( 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 )
= n25 )
& ( ( succ @ n25 )
= n0 )
& ( ( succ @ n24 )
= n25 )
& ( ( succ @ n23 )
= n24 )
& ( ( succ @ n22 )
= n23 )
& ( ( succ @ n21 )
= n22 )
& ( ( succ @ n20 )
= n21 )
& ( ( 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_cl594,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730,plain,
( ( sk_ = n25 )
| ( sk_ = n24 )
| ( sk_ = n23 )
| ( sk_ = n22 )
| ( sk_ = n21 )
| ( 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_cl1085,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl488,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1,plain,
( ( sk__1 = n25 )
| ( sk__1 = n24 )
| ( sk__1 = n23 )
| ( sk__1 = n22 )
| ( sk__1 = n21 )
| ( 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_cl1073,plain,
( ( sk__1 = n17 )
<= ( sk__1 = n17 ) ),
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_cl1289,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_cl1073,zip_derived_cl0]) ).
thf(zip_derived_cl19,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_001,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4312,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_cl1289,zip_derived_cl19,zip_derived_cl19]) ).
thf(zip_derived_cl10549,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_cl45,zip_derived_cl4312]) ).
thf(zip_derived_cl18424,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18445,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1085,zip_derived_cl18424]) ).
thf(zip_derived_cl31,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl474,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_002,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_003,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18497,plain,
( ( ( sum @ n20 @ n20 )
!= n14 )
<= ( ( sk__1 = n17 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18445,zip_derived_cl31,zip_derived_cl124,zip_derived_cl5,zip_derived_cl474,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110,zip_derived_cl218]) ).
thf(zip_derived_cl19416,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n17 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl18497]) ).
thf('0',plain,
( ( sk_ != n3 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19416]) ).
thf(zip_derived_cl1105,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl705,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1056,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_cl1112,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_cl1056,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_cl2552,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_cl1112,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl4950,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n25 @ n1 ) ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl2552]) ).
thf(zip_derived_cl20819,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20846,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl20819]) ).
thf(zip_derived_cl51,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl627,plain,
( ( sum @ n22 @ n1 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_006,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_007,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl650,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl574,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20900,plain,
( ( ( sum @ n23 @ ( sum @ n25 @ n24 ) )
!= n20 )
<= ( ( sk__1 = n0 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20846,zip_derived_cl51,zip_derived_cl627,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25,zip_derived_cl650,zip_derived_cl574]) ).
thf(zip_derived_cl728,plain,
( ( sum @ n25 @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl675,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21223,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n0 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20900,zip_derived_cl728,zip_derived_cl675]) ).
thf('1',plain,
( ( sk_ != n23 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21223]) ).
thf(zip_derived_cl729,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl650_008,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_009,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl83,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1058,plain,
( ( sk__1 = n2 )
<= ( sk__1 = n2 ) ),
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_cl1114,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_cl1058,zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_011,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2729,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_cl1114,zip_derived_cl4,zip_derived_cl4]) ).
thf(zip_derived_cl5597,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_cl30,zip_derived_cl2729]) ).
thf(zip_derived_cl13384,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13408,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl13384]) ).
thf(zip_derived_cl51_012,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_013,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_014,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_015,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13461,plain,
( ( ( sum @ ( sum @ n22 @ n3 ) @ ( sum @ n1 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13408,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl104,plain,
( ( sum @ n1 @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17913,plain,
( ( ( sum @ ( sum @ n22 @ n3 ) @ n25 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13461,zip_derived_cl104]) ).
thf(zip_derived_cl20030,plain,
( ( ( sum @ ( sum @ n22 @ n3 ) @ n25 )
!= ( sum @ n20 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl17913]) ).
thf(zip_derived_cl629,plain,
( ( sum @ n22 @ n3 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578,plain,
( ( sum @ n20 @ n4 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20049,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n2 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20030,zip_derived_cl629,zip_derived_cl578]) ).
thf(zip_derived_cl21141,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n2 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl20049]) ).
thf('2',plain,
( ( sk_ != n23 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21141]) ).
thf(zip_derived_cl1105_016,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl678,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1081,plain,
( ( sk__1 = n25 )
<= ( sk__1 = n25 ) ),
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_cl1485,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n25 ) ) @ ( sum @ ( pred @ n25 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1081,zip_derived_cl0]) ).
thf(zip_derived_cl27,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_018,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5830,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ ( pred @ n25 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n25 ) @ n0 ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1485,zip_derived_cl27,zip_derived_cl27]) ).
thf(zip_derived_cl12831,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n24 @ n0 ) ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl5830]) ).
thf(zip_derived_cl20403,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20575,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl20403]) ).
thf(zip_derived_cl51_019,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl626,plain,
( ( sum @ n22 @ n0 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_020,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_021,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_022,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl650_023,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl598,plain,
( ( sum @ n20 @ n24 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20627,plain,
( ( ( sum @ n22 @ ( sum @ n24 @ n24 ) )
!= n18 )
<= ( ( sk__1 = n25 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20575,zip_derived_cl51,zip_derived_cl626,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25,zip_derived_cl650,zip_derived_cl598]) ).
thf(zip_derived_cl702,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl648,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21044,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n25 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20627,zip_derived_cl702,zip_derived_cl648]) ).
thf('3',plain,
( ( sk_ != n23 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21044]) ).
thf(zip_derived_cl702_024,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl650_025,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_026,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl56,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1057,plain,
( ( sk__1 = n1 )
<= ( sk__1 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_027,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_cl1113,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_cl1057,zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_028,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2642,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_cl1113,zip_derived_cl3,zip_derived_cl3]) ).
thf(zip_derived_cl5273,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_cl29,zip_derived_cl2642]) ).
thf(zip_derived_cl13161,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13185,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl13161]) ).
thf(zip_derived_cl51_029,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_030,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_031,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_032,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13238,plain,
( ( ( sum @ ( sum @ n22 @ n2 ) @ ( sum @ n0 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13185,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl78,plain,
( ( sum @ n0 @ n24 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17731,plain,
( ( ( sum @ ( sum @ n22 @ n2 ) @ n24 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13238,zip_derived_cl78]) ).
thf(zip_derived_cl20029,plain,
( ( ( sum @ ( sum @ n22 @ n2 ) @ n24 )
!= ( sum @ n20 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl17731]) ).
thf(zip_derived_cl628,plain,
( ( sum @ n22 @ n2 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576,plain,
( ( sum @ n20 @ n2 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20048,plain,
( ( ( sum @ n24 @ n24 )
!= n22 )
<= ( ( sk__1 = n1 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20029,zip_derived_cl628,zip_derived_cl576]) ).
thf(zip_derived_cl20788,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n1 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl20048]) ).
thf('4',plain,
( ( sk_ != n23 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20788]) ).
thf(zip_derived_cl1105_033,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl677,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1080,plain,
( ( sk__1 = n24 )
<= ( sk__1 = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_034,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_cl1459,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n24 ) ) @ ( sum @ ( pred @ n24 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1080,zip_derived_cl0]) ).
thf(zip_derived_cl26,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_035,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5487,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ ( pred @ n24 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n24 ) @ n25 ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1459,zip_derived_cl26,zip_derived_cl26]) ).
thf(zip_derived_cl12613,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n23 @ n25 ) ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl5487]) ).
thf(zip_derived_cl20331,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20427,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl20331]) ).
thf(zip_derived_cl51_036,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl651,plain,
( ( sum @ n22 @ n25 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_037,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl676,plain,
( ( sum @ n23 @ n24 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl621,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_038,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_039,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl650_040,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20499,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n24 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20427,zip_derived_cl51,zip_derived_cl651,zip_derived_cl25,zip_derived_cl676,zip_derived_cl621,zip_derived_cl51,zip_derived_cl25,zip_derived_cl650,zip_derived_cl596]) ).
thf('5',plain,
( ( sk_ != n23 )
| ( sk__1 != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20499]) ).
thf(zip_derived_cl1105_041,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl596_042,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1077,plain,
( ( sk__1 = n21 )
<= ( sk__1 = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_043,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_cl1380,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n21 ) ) @ ( sum @ ( pred @ n21 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1077,zip_derived_cl0]) ).
thf(zip_derived_cl23,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_044,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4734,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ ( pred @ n21 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n21 ) @ n22 ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1380,zip_derived_cl23,zip_derived_cl23]) ).
thf(zip_derived_cl11851,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n20 @ n22 ) ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl4734]) ).
thf(zip_derived_cl19441,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19503,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl19441]) ).
thf(zip_derived_cl51_045,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_046,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_047,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_048,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19570,plain,
( ( ( sum @ ( sum @ n22 @ n22 ) @ ( sum @ n20 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19503,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl648_049,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl598_050,plain,
( ( sum @ n20 @ n24 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl540,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl650_051,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl590,plain,
( ( sum @ n20 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20276,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n21 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19570,zip_derived_cl648,zip_derived_cl598,zip_derived_cl540,zip_derived_cl650,zip_derived_cl590]) ).
thf('6',plain,
( ( sk_ != n23 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20276]) ).
thf(zip_derived_cl1105_052,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl569,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1076,plain,
( ( sk__1 = n20 )
<= ( sk__1 = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_053,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_cl1358,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_cl1076,zip_derived_cl0]) ).
thf(zip_derived_cl22,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_054,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4626,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ ( pred @ n20 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n20 ) @ n21 ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1358,zip_derived_cl22,zip_derived_cl22]) ).
thf(zip_derived_cl11527,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n19 @ n21 ) ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl4626]) ).
thf(zip_derived_cl19158,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19216,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl19158]) ).
thf(zip_derived_cl51_055,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_056,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_057,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_058,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19280,plain,
( ( ( sum @ ( sum @ n22 @ n21 ) @ ( sum @ n19 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19216,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl647,plain,
( ( sum @ n22 @ n21 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl572,plain,
( ( sum @ n19 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl513,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl650_059,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl588,plain,
( ( sum @ n20 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20266,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n20 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19280,zip_derived_cl647,zip_derived_cl572,zip_derived_cl513,zip_derived_cl650,zip_derived_cl588]) ).
thf('7',plain,
( ( sk_ != n23 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20266]) ).
thf(zip_derived_cl1105_060,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl542,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1075,plain,
( ( sk__1 = n19 )
<= ( sk__1 = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_061,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_cl1337,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_cl1075,zip_derived_cl0]) ).
thf(zip_derived_cl21,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_062,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4520,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_cl1337,zip_derived_cl21,zip_derived_cl21]) ).
thf(zip_derived_cl11201,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_cl47,zip_derived_cl4520]) ).
thf(zip_derived_cl18892,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18946,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl18892]) ).
thf(zip_derived_cl51_063,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_064,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_065,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_066,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19008,plain,
( ( ( sum @ ( sum @ n22 @ n20 ) @ ( sum @ n18 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18946,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl646,plain,
( ( sum @ n22 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546,plain,
( ( sum @ n18 @ n24 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl650_067,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl586,plain,
( ( sum @ n20 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20252,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n19 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19008,zip_derived_cl646,zip_derived_cl546,zip_derived_cl486,zip_derived_cl650,zip_derived_cl586]) ).
thf('8',plain,
( ( sk_ != n23 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20252]) ).
thf(zip_derived_cl1105_068,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl515,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1074,plain,
( ( sk__1 = n18 )
<= ( sk__1 = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_069,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_cl1308,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_cl1074,zip_derived_cl0]) ).
thf(zip_derived_cl20,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_070,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4416,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_cl1308,zip_derived_cl20,zip_derived_cl20]) ).
thf(zip_derived_cl10875,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_cl46,zip_derived_cl4416]) ).
thf(zip_derived_cl18650,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18693,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl18650]) ).
thf(zip_derived_cl51_071,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_072,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_073,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_074,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18752,plain,
( ( ( sum @ ( sum @ n22 @ n19 ) @ ( sum @ n17 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18693,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl645,plain,
( ( sum @ n22 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl520,plain,
( ( sum @ n17 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl650_075,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl584,plain,
( ( sum @ n20 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20234,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n18 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18752,zip_derived_cl645,zip_derived_cl520,zip_derived_cl459,zip_derived_cl650,zip_derived_cl584]) ).
thf('9',plain,
( ( sk_ != n23 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20234]) ).
thf(zip_derived_cl650_076,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_077,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_078,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18465,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl18424]) ).
thf(zip_derived_cl51_079,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_080,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_081,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_082,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18522,plain,
( ( ( sum @ ( sum @ n22 @ n18 ) @ ( sum @ n16 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18465,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl644,plain,
( ( sum @ n22 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl494,plain,
( ( sum @ n16 @ n24 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19970,plain,
( ( n2
!= ( sum @ ( sum @ n22 @ n24 ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18522,zip_derived_cl644,zip_derived_cl494,zip_derived_cl432]) ).
thf(zip_derived_cl20047,plain,
( ( n2
!= ( sum @ n20 @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl19970]) ).
thf(zip_derived_cl582,plain,
( ( sum @ n20 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20082,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n17 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20047,zip_derived_cl582]) ).
thf('10',plain,
( ( sk_ != n23 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20082]) ).
thf(zip_derived_cl650_083,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_084,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl623,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1078,plain,
( ( sk__1 = n22 )
<= ( sk__1 = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_085,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_cl1403,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n22 ) ) @ ( sum @ ( pred @ n22 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1078,zip_derived_cl0]) ).
thf(zip_derived_cl24,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_086,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4842,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ ( pred @ n22 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n22 ) @ n23 ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1403,zip_derived_cl24,zip_derived_cl24]) ).
thf(zip_derived_cl12176,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n21 @ n23 ) ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl4842]) ).
thf(zip_derived_cl19729,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19798,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl19729]) ).
thf(zip_derived_cl51_087,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_088,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl624,plain,
( ( sum @ n21 @ n24 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_089,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_090,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19867,plain,
( ( ( sum @ ( sum @ n22 @ n23 ) @ n19 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19798,zip_derived_cl51,zip_derived_cl25,zip_derived_cl624,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl20045,plain,
( ( ( sum @ ( sum @ n22 @ n23 ) @ n19 )
!= ( sum @ n20 @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl19867]) ).
thf(zip_derived_cl649,plain,
( ( sum @ n22 @ n23 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl567,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl592,plain,
( ( sum @ n20 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20078,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n22 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20045,zip_derived_cl649,zip_derived_cl567,zip_derived_cl592]) ).
thf('11',plain,
( ( sk_ != n23 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20078]) ).
thf(zip_derived_cl650_091,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_092,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl461,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1072,plain,
( ( sk__1 = n16 )
<= ( sk__1 = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_093,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_cl1271,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_cl1072,zip_derived_cl0]) ).
thf(zip_derived_cl18,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_094,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4104,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_cl1271,zip_derived_cl18,zip_derived_cl18]) ).
thf(zip_derived_cl10223,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_cl44,zip_derived_cl4104]) ).
thf(zip_derived_cl18201,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18234,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl18201]) ).
thf(zip_derived_cl51_095,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_096,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_097,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_098,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18290,plain,
( ( ( sum @ ( sum @ n22 @ n17 ) @ ( sum @ n15 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18234,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl468,plain,
( ( sum @ n15 @ n24 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19679,plain,
( ( ( sum @ ( sum @ n22 @ n17 ) @ n13 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18290,zip_derived_cl468]) ).
thf(zip_derived_cl20044,plain,
( ( ( sum @ ( sum @ n22 @ n17 ) @ n13 )
!= ( sum @ n20 @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl19679]) ).
thf(zip_derived_cl643,plain,
( ( sum @ n22 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl580,plain,
( ( sum @ n20 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20076,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n16 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20044,zip_derived_cl643,zip_derived_cl405,zip_derived_cl580]) ).
thf('12',plain,
( ( sk_ != n23 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20076]) ).
thf(zip_derived_cl650_099,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_100,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl434,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1071,plain,
( ( sk__1 = n15 )
<= ( sk__1 = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_101,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_cl1254,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_cl1071,zip_derived_cl0]) ).
thf(zip_derived_cl17,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_102,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4002,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_cl1254,zip_derived_cl17,zip_derived_cl17]) ).
thf(zip_derived_cl9896,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_cl43,zip_derived_cl4002]) ).
thf(zip_derived_cl17975,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl18008,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl17975]) ).
thf(zip_derived_cl51_103,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_104,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_105,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_106,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18063,plain,
( ( ( sum @ ( sum @ n22 @ n16 ) @ ( sum @ n14 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18008,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl442,plain,
( ( sum @ n14 @ n24 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19653,plain,
( ( ( sum @ ( sum @ n22 @ n16 ) @ n12 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18063,zip_derived_cl442]) ).
thf(zip_derived_cl20043,plain,
( ( ( sum @ ( sum @ n22 @ n16 ) @ n12 )
!= ( sum @ n20 @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl19653]) ).
thf(zip_derived_cl642,plain,
( ( sum @ n22 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_107,plain,
( ( sum @ n20 @ n4 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20074,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n15 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20043,zip_derived_cl642,zip_derived_cl378,zip_derived_cl578]) ).
thf('13',plain,
( ( sk_ != n23 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20074]) ).
thf(zip_derived_cl650_108,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_109,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl407,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1070,plain,
( ( sk__1 = n14 )
<= ( sk__1 = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_110,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_cl1234,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_cl1070,zip_derived_cl0]) ).
thf(zip_derived_cl16,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_111,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3901,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_cl1234,zip_derived_cl16,zip_derived_cl16]) ).
thf(zip_derived_cl9569,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_cl42,zip_derived_cl3901]) ).
thf(zip_derived_cl17756,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17786,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl17756]) ).
thf(zip_derived_cl51_112,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_113,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_114,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_115,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17840,plain,
( ( ( sum @ ( sum @ n22 @ n15 ) @ ( sum @ n13 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17786,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl416,plain,
( ( sum @ n13 @ n24 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19623,plain,
( ( ( sum @ ( sum @ n22 @ n15 ) @ n11 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17840,zip_derived_cl416]) ).
thf(zip_derived_cl20042,plain,
( ( ( sum @ ( sum @ n22 @ n15 ) @ n11 )
!= ( sum @ n20 @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl19623]) ).
thf(zip_derived_cl641,plain,
( ( sum @ n22 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_116,plain,
( ( sum @ n20 @ n2 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20072,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n14 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20042,zip_derived_cl641,zip_derived_cl351,zip_derived_cl576]) ).
thf('14',plain,
( ( sk_ != n23 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20072]) ).
thf(zip_derived_cl650_117,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_118,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl380,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1069,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_119,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_cl1219,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_cl1069,zip_derived_cl0]) ).
thf(zip_derived_cl15,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_120,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3801,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_cl1219,zip_derived_cl15,zip_derived_cl15]) ).
thf(zip_derived_cl9242,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_cl41,zip_derived_cl3801]) ).
thf(zip_derived_cl17592,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17616,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl17592]) ).
thf(zip_derived_cl51_121,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_122,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_123,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_124,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17669,plain,
( ( ( sum @ ( sum @ n22 @ n14 ) @ ( sum @ n12 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17616,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl390,plain,
( ( sum @ n12 @ n24 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19379,plain,
( ( ( sum @ ( sum @ n22 @ n14 ) @ n10 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17669,zip_derived_cl390]) ).
thf(zip_derived_cl20041,plain,
( ( ( sum @ ( sum @ n22 @ n14 ) @ n10 )
!= ( sum @ n20 @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl19379]) ).
thf(zip_derived_cl640,plain,
( ( sum @ n22 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl574_125,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20070,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n13 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20041,zip_derived_cl640,zip_derived_cl324,zip_derived_cl574]) ).
thf('15',plain,
( ( sk_ != n23 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20070]) ).
thf(zip_derived_cl650_126,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_127,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl353,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1068,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_128,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_cl1205,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_cl1068,zip_derived_cl0]) ).
thf(zip_derived_cl14,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_129,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3700,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_cl1205,zip_derived_cl14,zip_derived_cl14]) ).
thf(zip_derived_cl8915,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_cl40,zip_derived_cl3700]) ).
thf(zip_derived_cl17409,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17438,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl17409]) ).
thf(zip_derived_cl51_130,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_131,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_132,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_133,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17491,plain,
( ( ( sum @ ( sum @ n22 @ n13 ) @ ( sum @ n11 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17438,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl364,plain,
( ( sum @ n11 @ n24 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19115,plain,
( ( ( sum @ ( sum @ n22 @ n13 ) @ n9 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17491,zip_derived_cl364]) ).
thf(zip_derived_cl20040,plain,
( ( ( sum @ ( sum @ n22 @ n13 ) @ n9 )
!= ( sum @ n20 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl19115]) ).
thf(zip_derived_cl639,plain,
( ( sum @ n22 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl598_134,plain,
( ( sum @ n20 @ n24 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20068,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n12 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20040,zip_derived_cl639,zip_derived_cl297,zip_derived_cl598]) ).
thf('16',plain,
( ( sk_ != n23 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20068]) ).
thf(zip_derived_cl650_135,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_136,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl326,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1067,plain,
( ( sk__1 = n11 )
<= ( sk__1 = n11 ) ),
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_cl1192,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_cl1067,zip_derived_cl0]) ).
thf(zip_derived_cl13,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_138,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3602,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_cl1192,zip_derived_cl13,zip_derived_cl13]) ).
thf(zip_derived_cl8588,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_cl39,zip_derived_cl3602]) ).
thf(zip_derived_cl17181,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17207,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl17181]) ).
thf(zip_derived_cl51_139,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_140,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_141,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_142,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17260,plain,
( ( ( sum @ ( sum @ n22 @ n12 ) @ ( sum @ n10 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17207,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl338,plain,
( ( sum @ n10 @ n24 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19080,plain,
( ( ( sum @ ( sum @ n22 @ n12 ) @ n8 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17260,zip_derived_cl338]) ).
thf(zip_derived_cl20039,plain,
( ( ( sum @ ( sum @ n22 @ n12 ) @ n8 )
!= ( sum @ n20 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl19080]) ).
thf(zip_derived_cl638,plain,
( ( sum @ n22 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_143,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20066,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n11 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20039,zip_derived_cl638,zip_derived_cl270,zip_derived_cl596]) ).
thf('17',plain,
( ( sk_ != n23 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20066]) ).
thf(zip_derived_cl650_144,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_145,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl299,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1066,plain,
( ( sk__1 = n10 )
<= ( sk__1 = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_146,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_cl1177,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_cl1066,zip_derived_cl0]) ).
thf(zip_derived_cl12,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_147,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3500,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_cl1177,zip_derived_cl12,zip_derived_cl12]) ).
thf(zip_derived_cl8259,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_cl38,zip_derived_cl3500]) ).
thf(zip_derived_cl16960,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16990,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl16960]) ).
thf(zip_derived_cl51_148,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_149,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_150,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_151,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17043,plain,
( ( ( sum @ ( sum @ n22 @ n11 ) @ ( sum @ n9 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16990,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl312,plain,
( ( sum @ n9 @ n24 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18861,plain,
( ( ( sum @ ( sum @ n22 @ n11 ) @ n7 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17043,zip_derived_cl312]) ).
thf(zip_derived_cl20038,plain,
( ( ( sum @ ( sum @ n22 @ n11 ) @ n7 )
!= ( sum @ n20 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl18861]) ).
thf(zip_derived_cl637,plain,
( ( sum @ n22 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl594_152,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20064,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n10 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20038,zip_derived_cl637,zip_derived_cl243,zip_derived_cl594]) ).
thf('18',plain,
( ( sk_ != n23 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20064]) ).
thf(zip_derived_cl650_153,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_154,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl272,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1065,plain,
( ( sk__1 = n9 )
<= ( sk__1 = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_155,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_cl1166,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_cl1065,zip_derived_cl0]) ).
thf(zip_derived_cl11,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_156,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3404,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_cl1166,zip_derived_cl11,zip_derived_cl11]) ).
thf(zip_derived_cl7929,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_cl37,zip_derived_cl3404]) ).
thf(zip_derived_cl16730,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16756,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl16730]) ).
thf(zip_derived_cl51_157,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_158,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_159,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_160,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16809,plain,
( ( ( sum @ ( sum @ n22 @ n10 ) @ ( sum @ n8 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16756,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl286,plain,
( ( sum @ n8 @ n24 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18821,plain,
( ( ( sum @ ( sum @ n22 @ n10 ) @ n6 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16809,zip_derived_cl286]) ).
thf(zip_derived_cl20037,plain,
( ( ( sum @ ( sum @ n22 @ n10 ) @ n6 )
!= ( sum @ n20 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl18821]) ).
thf(zip_derived_cl636,plain,
( ( sum @ n22 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl592_161,plain,
( ( sum @ n20 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20062,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n9 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20037,zip_derived_cl636,zip_derived_cl216,zip_derived_cl592]) ).
thf('19',plain,
( ( sk_ != n23 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20062]) ).
thf(zip_derived_cl650_162,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_163,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl245,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1064,plain,
( ( sk__1 = n8 )
<= ( sk__1 = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_164,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_cl1156,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_cl1064,zip_derived_cl0]) ).
thf(zip_derived_cl10,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_165,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3308,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_cl1156,zip_derived_cl10,zip_derived_cl10]) ).
thf(zip_derived_cl7600,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_cl36,zip_derived_cl3308]) ).
thf(zip_derived_cl16503,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16533,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl16503]) ).
thf(zip_derived_cl51_166,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_167,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_168,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_169,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16586,plain,
( ( ( sum @ ( sum @ n22 @ n9 ) @ ( sum @ n7 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16533,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl260,plain,
( ( sum @ n7 @ n24 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18610,plain,
( ( ( sum @ ( sum @ n22 @ n9 ) @ n5 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16586,zip_derived_cl260]) ).
thf(zip_derived_cl20036,plain,
( ( ( sum @ ( sum @ n22 @ n9 ) @ n5 )
!= ( sum @ n20 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl18610]) ).
thf(zip_derived_cl635,plain,
( ( sum @ n22 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl590_170,plain,
( ( sum @ n20 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20060,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n8 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20036,zip_derived_cl635,zip_derived_cl189,zip_derived_cl590]) ).
thf('20',plain,
( ( sk_ != n23 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20060]) ).
thf(zip_derived_cl650_171,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_172,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl218_173,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1063,plain,
( ( sk__1 = n7 )
<= ( sk__1 = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_174,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_cl1147,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_cl1063,zip_derived_cl0]) ).
thf(zip_derived_cl9,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_175,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3214,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_cl1147,zip_derived_cl9,zip_derived_cl9]) ).
thf(zip_derived_cl7273,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_cl35,zip_derived_cl3214]) ).
thf(zip_derived_cl16281,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16305,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl16281]) ).
thf(zip_derived_cl51_176,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_177,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_178,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_179,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16358,plain,
( ( ( sum @ ( sum @ n22 @ n8 ) @ ( sum @ n6 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16305,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl234,plain,
( ( sum @ n6 @ n24 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18577,plain,
( ( ( sum @ ( sum @ n22 @ n8 ) @ n4 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16358,zip_derived_cl234]) ).
thf(zip_derived_cl20035,plain,
( ( ( sum @ ( sum @ n22 @ n8 ) @ n4 )
!= ( sum @ n20 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl18577]) ).
thf(zip_derived_cl634,plain,
( ( sum @ n22 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl588_180,plain,
( ( sum @ n20 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20058,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n7 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20035,zip_derived_cl634,zip_derived_cl162,zip_derived_cl588]) ).
thf('21',plain,
( ( sk_ != n23 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20058]) ).
thf(zip_derived_cl650_181,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_182,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl191,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1062,plain,
( ( sk__1 = n6 )
<= ( sk__1 = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_183,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_cl1136,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_cl1062,zip_derived_cl0]) ).
thf(zip_derived_cl8,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_184,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3115,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_cl1136,zip_derived_cl8,zip_derived_cl8]) ).
thf(zip_derived_cl6944,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_cl34,zip_derived_cl3115]) ).
thf(zip_derived_cl15787,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15811,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl15787]) ).
thf(zip_derived_cl51_185,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_186,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_187,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_188,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15864,plain,
( ( ( sum @ ( sum @ n22 @ n7 ) @ ( sum @ n5 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15811,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl208,plain,
( ( sum @ n5 @ n24 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18385,plain,
( ( ( sum @ ( sum @ n22 @ n7 ) @ n3 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15864,zip_derived_cl208]) ).
thf(zip_derived_cl20034,plain,
( ( ( sum @ ( sum @ n22 @ n7 ) @ n3 )
!= ( sum @ n20 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl18385]) ).
thf(zip_derived_cl633,plain,
( ( sum @ n22 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl586_189,plain,
( ( sum @ n20 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20056,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n6 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20034,zip_derived_cl633,zip_derived_cl135,zip_derived_cl586]) ).
thf('22',plain,
( ( sk_ != n23 )
| ( sk__1 != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20056]) ).
thf(zip_derived_cl650_190,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_191,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl164,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1061,plain,
( ( sk__1 = n5 )
<= ( sk__1 = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_192,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_cl1129,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_cl1061,zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_193,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3021,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_cl1129,zip_derived_cl7,zip_derived_cl7]) ).
thf(zip_derived_cl6609,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_cl33,zip_derived_cl3021]) ).
thf(zip_derived_cl15178,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15202,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl15178]) ).
thf(zip_derived_cl51_194,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_195,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_196,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_197,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15255,plain,
( ( ( sum @ ( sum @ n22 @ n6 ) @ ( sum @ n4 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15202,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl182,plain,
( ( sum @ n4 @ n24 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18335,plain,
( ( ( sum @ ( sum @ n22 @ n6 ) @ n2 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15255,zip_derived_cl182]) ).
thf(zip_derived_cl20033,plain,
( ( ( sum @ ( sum @ n22 @ n6 ) @ n2 )
!= ( sum @ n20 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl18335]) ).
thf(zip_derived_cl632,plain,
( ( sum @ n22 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl584_198,plain,
( ( sum @ n20 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20054,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n5 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20033,zip_derived_cl632,zip_derived_cl108,zip_derived_cl584]) ).
thf('23',plain,
( ( sk_ != n23 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20054]) ).
thf(zip_derived_cl650_199,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_200,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl137,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1060,plain,
( ( sk__1 = n4 )
<= ( sk__1 = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_201,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_cl1123,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_cl1060,zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_202,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2921,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_cl1123,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl6275,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_cl32,zip_derived_cl2921]) ).
thf(zip_derived_cl14634,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14658,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl14634]) ).
thf(zip_derived_cl51_203,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_204,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_205,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_206,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14711,plain,
( ( ( sum @ ( sum @ n22 @ n5 ) @ ( sum @ n3 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14658,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl156,plain,
( ( sum @ n3 @ n24 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18148,plain,
( ( ( sum @ ( sum @ n22 @ n5 ) @ n1 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14711,zip_derived_cl156]) ).
thf(zip_derived_cl20032,plain,
( ( ( sum @ ( sum @ n22 @ n5 ) @ n1 )
!= ( sum @ n20 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl18148]) ).
thf(zip_derived_cl631,plain,
( ( sum @ n22 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl582_207,plain,
( ( sum @ n20 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20052,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n4 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20032,zip_derived_cl631,zip_derived_cl81,zip_derived_cl582]) ).
thf('24',plain,
( ( sk_ != n23 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20052]) ).
thf(zip_derived_cl1082,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_208,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20404,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1082,zip_derived_cl20331]) ).
thf(zip_derived_cl28_209,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_210,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl653,plain,
( ( sum @ n23 @ n1 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_211,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_212,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20456,plain,
( ( ( sum @ ( sum @ n25 @ n25 ) @ n24 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20404,zip_derived_cl28,zip_derived_cl2,zip_derived_cl653,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl729_213,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl702_214,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_215,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76,plain,
( ( sum @ n0 @ n22 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21287,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n24 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20456,zip_derived_cl729,zip_derived_cl702,zip_derived_cl705,zip_derived_cl76]) ).
thf('25',plain,
( ( sk__1 != n24 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21287]) ).
thf(zip_derived_cl1107,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_216,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20429,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl20331]) ).
thf(zip_derived_cl53_217,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_218,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl652,plain,
( ( sum @ n23 @ n0 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_219,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_220,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_221,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20503,plain,
( ( ( sum @ ( sum @ n24 @ n25 ) @ n23 )
!= ( sum @ n24 @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20429,zip_derived_cl53,zip_derived_cl27,zip_derived_cl652,zip_derived_cl53,zip_derived_cl27,zip_derived_cl678]) ).
thf(zip_derived_cl703,plain,
( ( sum @ n24 @ n25 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl675_222,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl700,plain,
( ( sum @ n24 @ n22 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21277,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n24 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20503,zip_derived_cl703,zip_derived_cl675,zip_derived_cl700]) ).
thf('26',plain,
( ( sk__1 != n24 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21277]) ).
thf(zip_derived_cl1094,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_223,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20416,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl20331]) ).
thf(zip_derived_cl40_224,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl365,plain,
( ( sum @ n11 @ n25 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_225,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl665,plain,
( ( sum @ n23 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_226,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_227,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_228,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_229,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20478,plain,
( ( n20
!= ( sum @ n24 @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20416,zip_derived_cl40,zip_derived_cl365,zip_derived_cl14,zip_derived_cl665,zip_derived_cl324,zip_derived_cl40,zip_derived_cl14,zip_derived_cl353]) ).
thf(zip_derived_cl700_230,plain,
( ( sum @ n24 @ n22 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20943,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n24 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20478,zip_derived_cl700]) ).
thf('27',plain,
( ( sk__1 != n24 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20943]) ).
thf(zip_derived_cl1104,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_231,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20426,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl20331]) ).
thf(zip_derived_cl50_232,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl625,plain,
( ( sum @ n21 @ n25 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_233,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl675_234,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl594_235,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_236,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_237,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl623_238,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544,plain,
( ( sum @ n18 @ n22 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20497,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n24 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20426,zip_derived_cl50,zip_derived_cl625,zip_derived_cl24,zip_derived_cl675,zip_derived_cl594,zip_derived_cl50,zip_derived_cl24,zip_derived_cl623,zip_derived_cl544]) ).
thf('28',plain,
( ( sk__1 != n24 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20497]) ).
thf(zip_derived_cl1103,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_239,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20425,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl20331]) ).
thf(zip_derived_cl49_240,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl599,plain,
( ( sum @ n20 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_241,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674,plain,
( ( sum @ n23 @ n22 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl567_242,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_243,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_244,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_245,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl492,plain,
( ( sum @ n16 @ n22 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20495,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n24 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20425,zip_derived_cl49,zip_derived_cl599,zip_derived_cl23,zip_derived_cl674,zip_derived_cl567,zip_derived_cl49,zip_derived_cl23,zip_derived_cl596,zip_derived_cl492]) ).
thf('29',plain,
( ( sk__1 != n24 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20495]) ).
thf(zip_derived_cl1102,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_246,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20424,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1102,zip_derived_cl20331]) ).
thf(zip_derived_cl48_247,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl573,plain,
( ( sum @ n19 @ n25 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_248,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl673,plain,
( ( sum @ n23 @ n21 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl540_249,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_250,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_251,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_252,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440,plain,
( ( sum @ n14 @ n22 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20493,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n24 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20424,zip_derived_cl48,zip_derived_cl573,zip_derived_cl22,zip_derived_cl673,zip_derived_cl540,zip_derived_cl48,zip_derived_cl22,zip_derived_cl569,zip_derived_cl440]) ).
thf('30',plain,
( ( sk__1 != n24 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20493]) ).
thf(zip_derived_cl1101,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_253,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20423,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1101,zip_derived_cl20331]) ).
thf(zip_derived_cl47_254,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl547,plain,
( ( sum @ n18 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_255,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl672,plain,
( ( sum @ n23 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl513_256,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_257,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_258,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_259,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl388,plain,
( ( sum @ n12 @ n22 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20491,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n24 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20423,zip_derived_cl47,zip_derived_cl547,zip_derived_cl21,zip_derived_cl672,zip_derived_cl513,zip_derived_cl47,zip_derived_cl21,zip_derived_cl542,zip_derived_cl388]) ).
thf('31',plain,
( ( sk__1 != n24 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20491]) ).
thf(zip_derived_cl1100,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_260,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20422,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1100,zip_derived_cl20331]) ).
thf(zip_derived_cl46_261,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl521,plain,
( ( sum @ n17 @ n25 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_262,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl671,plain,
( ( sum @ n23 @ n19 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486_263,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_264,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_265,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_266,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl336,plain,
( ( sum @ n10 @ n22 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20489,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n24 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20422,zip_derived_cl46,zip_derived_cl521,zip_derived_cl20,zip_derived_cl671,zip_derived_cl486,zip_derived_cl46,zip_derived_cl20,zip_derived_cl515,zip_derived_cl336]) ).
thf('32',plain,
( ( sk_ != n18 )
| ( sk__1 != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20489]) ).
thf(zip_derived_cl1099,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_267,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20421,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1099,zip_derived_cl20331]) ).
thf(zip_derived_cl45_268,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl495,plain,
( ( sum @ n16 @ n25 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_269,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl670,plain,
( ( sum @ n23 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459_270,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_271,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_272,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_273,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl284,plain,
( ( sum @ n8 @ n22 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20487,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n24 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20421,zip_derived_cl45,zip_derived_cl495,zip_derived_cl19,zip_derived_cl670,zip_derived_cl459,zip_derived_cl45,zip_derived_cl19,zip_derived_cl488,zip_derived_cl284]) ).
thf('33',plain,
( ( sk__1 != n24 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20487]) ).
thf(zip_derived_cl1098,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_274,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20420,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl20331]) ).
thf(zip_derived_cl44_275,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl469,plain,
( ( sum @ n15 @ n25 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_276,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl669,plain,
( ( sum @ n23 @ n17 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_277,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_278,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_279,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_280,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232,plain,
( ( sum @ n6 @ n22 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20485,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n24 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20420,zip_derived_cl44,zip_derived_cl469,zip_derived_cl18,zip_derived_cl669,zip_derived_cl432,zip_derived_cl44,zip_derived_cl18,zip_derived_cl461,zip_derived_cl232]) ).
thf('34',plain,
( ( sk__1 != n24 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20485]) ).
thf(zip_derived_cl1097,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_281,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20419,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1097,zip_derived_cl20331]) ).
thf(zip_derived_cl43_282,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443,plain,
( ( sum @ n14 @ n25 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_283,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl668,plain,
( ( sum @ n23 @ n16 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_284,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_285,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_286,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_287,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180,plain,
( ( sum @ n4 @ n22 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20483,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n24 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20419,zip_derived_cl43,zip_derived_cl443,zip_derived_cl17,zip_derived_cl668,zip_derived_cl405,zip_derived_cl43,zip_derived_cl17,zip_derived_cl434,zip_derived_cl180]) ).
thf('35',plain,
( ( sk__1 != n24 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20483]) ).
thf(zip_derived_cl1096,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_288,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20418,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1096,zip_derived_cl20331]) ).
thf(zip_derived_cl42_289,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl417,plain,
( ( sum @ n13 @ n25 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_290,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl667,plain,
( ( sum @ n23 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_291,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_292,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_293,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_294,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128,plain,
( ( sum @ n2 @ n22 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20481,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n24 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20418,zip_derived_cl42,zip_derived_cl417,zip_derived_cl16,zip_derived_cl667,zip_derived_cl378,zip_derived_cl42,zip_derived_cl16,zip_derived_cl407,zip_derived_cl128]) ).
thf('36',plain,
( ( sk__1 != n24 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20481]) ).
thf(zip_derived_cl1095,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_295,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20417,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1095,zip_derived_cl20331]) ).
thf(zip_derived_cl41_296,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl391,plain,
( ( sum @ n12 @ n25 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_297,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl666,plain,
( ( sum @ n23 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_298,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_299,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_300,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_301,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_302,plain,
( ( sum @ n0 @ n22 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20479,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n24 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20417,zip_derived_cl41,zip_derived_cl391,zip_derived_cl15,zip_derived_cl666,zip_derived_cl351,zip_derived_cl41,zip_derived_cl15,zip_derived_cl380,zip_derived_cl76]) ).
thf('37',plain,
( ( sk__1 != n24 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20479]) ).
thf(zip_derived_cl1093,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_303,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20415,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1093,zip_derived_cl20331]) ).
thf(zip_derived_cl39_304,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl339,plain,
( ( sum @ n10 @ n25 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_305,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl664,plain,
( ( sum @ n23 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_306,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_307,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_308,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_309,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl648_310,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20476,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n24 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20415,zip_derived_cl39,zip_derived_cl339,zip_derived_cl13,zip_derived_cl664,zip_derived_cl297,zip_derived_cl39,zip_derived_cl13,zip_derived_cl326,zip_derived_cl648]) ).
thf('38',plain,
( ( sk__1 != n24 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20476]) ).
thf(zip_derived_cl1092,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_311,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20414,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1092,zip_derived_cl20331]) ).
thf(zip_derived_cl38_312,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl313,plain,
( ( sum @ n9 @ n25 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_313,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl663,plain,
( ( sum @ n23 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_314,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_315,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_316,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_317,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_318,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20474,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n24 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20414,zip_derived_cl38,zip_derived_cl313,zip_derived_cl12,zip_derived_cl663,zip_derived_cl270,zip_derived_cl38,zip_derived_cl12,zip_derived_cl299,zip_derived_cl596]) ).
thf('39',plain,
( ( sk__1 != n24 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20474]) ).
thf(zip_derived_cl1091,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_319,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20413,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl20331]) ).
thf(zip_derived_cl37_320,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl287,plain,
( ( sum @ n8 @ n25 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_321,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl662,plain,
( ( sum @ n23 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_322,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_323,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_324,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_325,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_326,plain,
( ( sum @ n18 @ n22 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20472,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n24 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20413,zip_derived_cl37,zip_derived_cl287,zip_derived_cl11,zip_derived_cl662,zip_derived_cl243,zip_derived_cl37,zip_derived_cl11,zip_derived_cl272,zip_derived_cl544]) ).
thf('40',plain,
( ( sk__1 != n24 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20472]) ).
thf(zip_derived_cl1090,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_327,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20412,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1090,zip_derived_cl20331]) ).
thf(zip_derived_cl36_328,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl261,plain,
( ( sum @ n7 @ n25 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_329,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl661,plain,
( ( sum @ n23 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_330,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_331,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_332,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_333,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl492_334,plain,
( ( sum @ n16 @ n22 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20470,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n24 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20412,zip_derived_cl36,zip_derived_cl261,zip_derived_cl10,zip_derived_cl661,zip_derived_cl216,zip_derived_cl36,zip_derived_cl10,zip_derived_cl245,zip_derived_cl492]) ).
thf('41',plain,
( ( sk__1 != n24 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20470]) ).
thf(zip_derived_cl1089,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_335,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20411,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1089,zip_derived_cl20331]) ).
thf(zip_derived_cl35_336,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl235,plain,
( ( sum @ n6 @ n25 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_337,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl660,plain,
( ( sum @ n23 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_338,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_339,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_340,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_341,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_342,plain,
( ( sum @ n14 @ n22 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20468,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n24 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20411,zip_derived_cl35,zip_derived_cl235,zip_derived_cl9,zip_derived_cl660,zip_derived_cl189,zip_derived_cl35,zip_derived_cl9,zip_derived_cl218,zip_derived_cl440]) ).
thf('42',plain,
( ( sk__1 != n24 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20468]) ).
thf(zip_derived_cl1088,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_343,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20410,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1088,zip_derived_cl20331]) ).
thf(zip_derived_cl34_344,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl209,plain,
( ( sum @ n5 @ n25 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_345,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl659,plain,
( ( sum @ n23 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_346,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_347,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_348,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_349,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl388_350,plain,
( ( sum @ n12 @ n22 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20466,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n24 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20410,zip_derived_cl34,zip_derived_cl209,zip_derived_cl8,zip_derived_cl659,zip_derived_cl162,zip_derived_cl34,zip_derived_cl8,zip_derived_cl191,zip_derived_cl388]) ).
thf('43',plain,
( ( sk__1 != n24 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20466]) ).
thf(zip_derived_cl1087,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_351,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20409,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1087,zip_derived_cl20331]) ).
thf(zip_derived_cl33_352,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl183,plain,
( ( sum @ n4 @ n25 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_353,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl658,plain,
( ( sum @ n23 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_354,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_355,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_356,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_357,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl336_358,plain,
( ( sum @ n10 @ n22 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20464,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n24 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20409,zip_derived_cl33,zip_derived_cl183,zip_derived_cl7,zip_derived_cl658,zip_derived_cl135,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164,zip_derived_cl336]) ).
thf('44',plain,
( ( sk__1 != n24 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20464]) ).
thf(zip_derived_cl1086,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_359,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20408,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1086,zip_derived_cl20331]) ).
thf(zip_derived_cl32_360,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl157,plain,
( ( sum @ n3 @ n25 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_361,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl657,plain,
( ( sum @ n23 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_362,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_363,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_364,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_365,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl284_366,plain,
( ( sum @ n8 @ n22 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20462,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n24 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20408,zip_derived_cl32,zip_derived_cl157,zip_derived_cl6,zip_derived_cl657,zip_derived_cl108,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137,zip_derived_cl284]) ).
thf('45',plain,
( ( sk__1 != n24 )
| ( sk_ != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20462]) ).
thf(zip_derived_cl1085_367,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_368,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20407,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1085,zip_derived_cl20331]) ).
thf(zip_derived_cl31_369,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl131,plain,
( ( sum @ n2 @ n25 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_370,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl656,plain,
( ( sum @ n23 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_371,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_372,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_373,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_374,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232_375,plain,
( ( sum @ n6 @ n22 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20460,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n24 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20407,zip_derived_cl31,zip_derived_cl131,zip_derived_cl5,zip_derived_cl656,zip_derived_cl81,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110,zip_derived_cl232]) ).
thf('46',plain,
( ( sk_ != n3 )
| ( sk__1 != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20460]) ).
thf(zip_derived_cl1084,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_376,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20406,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1084,zip_derived_cl20331]) ).
thf(zip_derived_cl30_377,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl105,plain,
( ( sum @ n1 @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_378,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl655,plain,
( ( sum @ n23 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_379,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_380,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_381,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180_382,plain,
( ( sum @ n4 @ n22 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20458,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n24 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20406,zip_derived_cl30,zip_derived_cl105,zip_derived_cl4,zip_derived_cl655,zip_derived_cl54,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl180]) ).
thf('47',plain,
( ( sk__1 != n24 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20458]) ).
thf(zip_derived_cl1106,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl5487_383,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ ( pred @ n24 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n24 ) @ n25 ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1459,zip_derived_cl26,zip_derived_cl26]) ).
thf(zip_derived_cl5512,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n25 ) @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ ( sum @ ( pred @ n24 ) @ n25 ) ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl5487]) ).
thf(zip_derived_cl26_384,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_385,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5564,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n25 ) @ ( sum @ ( pred @ n24 ) @ n25 ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ n25 ) @ ( sum @ ( pred @ n24 ) @ n25 ) ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5512,zip_derived_cl26,zip_derived_cl26]) ).
thf('48',plain,
( ( sk__1 != n24 )
| ( sk_ != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5564]) ).
thf(zip_derived_cl729_386,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1086_387,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_388,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19484,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1086,zip_derived_cl19441]) ).
thf(zip_derived_cl32_389,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154,plain,
( ( sum @ n3 @ n22 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_390,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl579,plain,
( ( sum @ n20 @ n5 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_391,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_392,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_393,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278,plain,
( ( sum @ n8 @ n16 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19536,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n21 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19484,zip_derived_cl32,zip_derived_cl154,zip_derived_cl6,zip_derived_cl579,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137,zip_derived_cl278]) ).
thf(zip_derived_cl21138,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n21 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl19536]) ).
thf('49',plain,
( ( sk_ != n4 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21138]) ).
thf(zip_derived_cl1086_394,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_395,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20827,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1086,zip_derived_cl20819]) ).
thf(zip_derived_cl32_396,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl133,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_397,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_398,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_399,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_400,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20881,plain,
( ( ( sum @ n4 @ ( sum @ n25 @ n5 ) )
!= n8 )
<= ( ( sk__1 = n0 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20827,zip_derived_cl32,zip_derived_cl133,zip_derived_cl6,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137,zip_derived_cl262]) ).
thf(zip_derived_cl709,plain,
( ( sum @ n25 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_401,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21119,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n0 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20881,zip_derived_cl709,zip_derived_cl162]) ).
thf('50',plain,
( ( sk_ != n4 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21119]) ).
thf(zip_derived_cl1086_402,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_403,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20556,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1086,zip_derived_cl20403]) ).
thf(zip_derived_cl32_404,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_405,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_406,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_407,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_408,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_409,plain,
( ( sum @ n8 @ n24 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20608,plain,
( ( ( sum @ n3 @ ( sum @ n24 @ n5 ) )
!= n6 )
<= ( ( sk__1 = n25 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20556,zip_derived_cl32,zip_derived_cl132,zip_derived_cl6,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137,zip_derived_cl286]) ).
thf(zip_derived_cl683,plain,
( ( sum @ n24 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_410,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20993,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n25 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20608,zip_derived_cl683,zip_derived_cl135]) ).
thf('51',plain,
( ( sk_ != n4 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20993]) ).
thf(zip_derived_cl702_411,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1086_412,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_413,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19197,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1086,zip_derived_cl19158]) ).
thf(zip_derived_cl32_414,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl153,plain,
( ( sum @ n3 @ n21 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_415,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl553,plain,
( ( sum @ n19 @ n5 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_416,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_417,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_418,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276,plain,
( ( sum @ n8 @ n14 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19249,plain,
( ( ( sum @ n24 @ n24 )
!= n22 )
<= ( ( sk__1 = n20 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19197,zip_derived_cl32,zip_derived_cl153,zip_derived_cl6,zip_derived_cl553,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137,zip_derived_cl276]) ).
thf(zip_derived_cl20783,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n20 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl19249]) ).
thf('52',plain,
( ( sk_ != n4 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20783]) ).
thf(zip_derived_cl675_419,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1086_420,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_421,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18927,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1086,zip_derived_cl18892]) ).
thf(zip_derived_cl32_422,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl152,plain,
( ( sum @ n3 @ n20 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_423,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl527,plain,
( ( sum @ n18 @ n5 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_424,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_425,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_426,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl274,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18979,plain,
( ( ( sum @ n23 @ n23 )
!= n20 )
<= ( ( sk__1 = n19 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18927,zip_derived_cl32,zip_derived_cl152,zip_derived_cl6,zip_derived_cl527,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137,zip_derived_cl274]) ).
thf(zip_derived_cl20299,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n19 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl18979]) ).
thf('53',plain,
( ( sk_ != n4 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20299]) ).
thf(zip_derived_cl648_427,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1086_428,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_429,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18674,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1086,zip_derived_cl18650]) ).
thf(zip_derived_cl32_430,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl151,plain,
( ( sum @ n3 @ n19 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_431,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl501,plain,
( ( sum @ n17 @ n5 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_432,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_433,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_434,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_435,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18726,plain,
( ( ( sum @ n22 @ n22 )
!= n18 )
<= ( ( sk__1 = n18 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18674,zip_derived_cl32,zip_derived_cl151,zip_derived_cl6,zip_derived_cl501,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137,zip_derived_cl272]) ).
thf(zip_derived_cl19998,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n18 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl18726]) ).
thf('54',plain,
( ( sk_ != n4 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19998]) ).
thf(zip_derived_cl1086_436,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_437,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19779,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1086,zip_derived_cl19729]) ).
thf(zip_derived_cl32_438,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl155,plain,
( ( sum @ n3 @ n23 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_439,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl605,plain,
( ( sum @ n21 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_440,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_441,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_442,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_443,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280,plain,
( ( sum @ n8 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19831,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n22 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19779,zip_derived_cl32,zip_derived_cl155,zip_derived_cl6,zip_derived_cl605,zip_derived_cl54,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137,zip_derived_cl280]) ).
thf('55',plain,
( ( sk_ != n4 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19831]) ).
thf(zip_derived_cl621_444,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1086_445,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_446,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18446,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1086,zip_derived_cl18424]) ).
thf(zip_derived_cl32_447,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl150,plain,
( ( sum @ n3 @ n18 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_448,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl475,plain,
( ( sum @ n16 @ n5 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_449,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_450,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_451,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_452,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18498,plain,
( ( ( sum @ n21 @ n21 )
!= n16 )
<= ( ( sk__1 = n17 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18446,zip_derived_cl32,zip_derived_cl150,zip_derived_cl6,zip_derived_cl475,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137,zip_derived_cl270]) ).
thf(zip_derived_cl19698,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n17 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl18498]) ).
thf('56',plain,
( ( sk_ != n4 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19698]) ).
thf(zip_derived_cl594_453,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1086_454,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_455,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18215,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1086,zip_derived_cl18201]) ).
thf(zip_derived_cl32_456,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149,plain,
( ( sum @ n3 @ n17 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_457,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl449,plain,
( ( sum @ n15 @ n5 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_458,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_459,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_460,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18267,plain,
( ( ( sum @ n20 @ n20 )
!= n14 )
<= ( ( sk__1 = n16 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18215,zip_derived_cl32,zip_derived_cl149,zip_derived_cl6,zip_derived_cl449,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137,zip_derived_cl268]) ).
thf(zip_derived_cl19412,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n16 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl18267]) ).
thf('57',plain,
( ( sk_ != n4 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19412]) ).
thf(zip_derived_cl567_461,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1086_462,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_463,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl17989,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1086,zip_derived_cl17975]) ).
thf(zip_derived_cl32_464,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148,plain,
( ( sum @ n3 @ n16 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_465,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl423,plain,
( ( sum @ n14 @ n5 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_466,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_467,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_468,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18041,plain,
( ( ( sum @ n19 @ n19 )
!= n12 )
<= ( ( sk__1 = n15 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17989,zip_derived_cl32,zip_derived_cl148,zip_derived_cl6,zip_derived_cl423,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137,zip_derived_cl266]) ).
thf(zip_derived_cl19130,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n15 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl18041]) ).
thf('58',plain,
( ( sk_ != n4 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19130]) ).
thf(zip_derived_cl540_469,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1086_470,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_471,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17767,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1086,zip_derived_cl17756]) ).
thf(zip_derived_cl32_472,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147,plain,
( ( sum @ n3 @ n15 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_473,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl397,plain,
( ( sum @ n13 @ n5 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_474,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_475,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_476,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17819,plain,
( ( ( sum @ n18 @ n18 )
!= n10 )
<= ( ( sk__1 = n14 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17767,zip_derived_cl32,zip_derived_cl147,zip_derived_cl6,zip_derived_cl397,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137,zip_derived_cl264]) ).
thf(zip_derived_cl18867,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n14 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl17819]) ).
thf('59',plain,
( ( sk_ != n4 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18867]) ).
thf(zip_derived_cl513_477,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1086_478,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_479,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17597,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1086,zip_derived_cl17592]) ).
thf(zip_derived_cl32_480,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl146,plain,
( ( sum @ n3 @ n14 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_481,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl371,plain,
( ( sum @ n12 @ n5 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_482,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_483,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_484,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262_485,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17649,plain,
( ( ( sum @ n17 @ n17 )
!= n8 )
<= ( ( sk__1 = n13 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17597,zip_derived_cl32,zip_derived_cl146,zip_derived_cl6,zip_derived_cl371,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137,zip_derived_cl262]) ).
thf(zip_derived_cl18627,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n13 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl17649]) ).
thf('60',plain,
( ( sk_ != n4 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18627]) ).
thf(zip_derived_cl486_486,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1086_487,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_488,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17419,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1086,zip_derived_cl17409]) ).
thf(zip_derived_cl32_489,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145,plain,
( ( sum @ n3 @ n13 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_490,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl345,plain,
( ( sum @ n11 @ n5 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_491,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_492,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_493,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_494,plain,
( ( sum @ n8 @ n24 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17471,plain,
( ( ( sum @ n16 @ n16 )
!= n6 )
<= ( ( sk__1 = n12 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17419,zip_derived_cl32,zip_derived_cl145,zip_derived_cl6,zip_derived_cl345,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137,zip_derived_cl286]) ).
thf(zip_derived_cl18404,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n12 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl17471]) ).
thf('61',plain,
( ( sk_ != n4 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18404]) ).
thf(zip_derived_cl459_495,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1086_496,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_497,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17188,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1086,zip_derived_cl17181]) ).
thf(zip_derived_cl32_498,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_499,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl319,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_500,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_501,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_502,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl284_503,plain,
( ( sum @ n8 @ n22 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17240,plain,
( ( ( sum @ n15 @ n15 )
!= n4 )
<= ( ( sk__1 = n11 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17188,zip_derived_cl32,zip_derived_cl144,zip_derived_cl6,zip_derived_cl319,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137,zip_derived_cl284]) ).
thf(zip_derived_cl18183,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n11 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl17240]) ).
thf('62',plain,
( ( sk_ != n4 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18183]) ).
thf(zip_derived_cl432_504,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1086_505,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_506,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16971,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_cl1086,zip_derived_cl16960]) ).
thf(zip_derived_cl32_507,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_508,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl293,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_509,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_510,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_511,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282,plain,
( ( sum @ n8 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17023,plain,
( ( ( sum @ n14 @ n14 )
!= n2 )
<= ( ( sk__1 = n10 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16971,zip_derived_cl32,zip_derived_cl143,zip_derived_cl6,zip_derived_cl293,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137,zip_derived_cl282]) ).
thf(zip_derived_cl17959,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n10 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl17023]) ).
thf('63',plain,
( ( sk_ != n4 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17959]) ).
thf(zip_derived_cl1086_512,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_513,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13389,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_cl1086,zip_derived_cl13384]) ).
thf(zip_derived_cl32_514,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_515,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_516,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_517,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13442,plain,
( ( ( sum @ ( sum @ n3 @ n3 ) @ ( sum @ n1 @ n5 ) )
!= ( sum @ ( sum @ n3 @ n5 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13389,zip_derived_cl32,zip_derived_cl6,zip_derived_cl32,zip_derived_cl6]) ).
thf(zip_derived_cl135_518,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_519,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_520,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_521,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17887,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n2 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13442,zip_derived_cl135,zip_derived_cl85,zip_derived_cl216,zip_derived_cl137,zip_derived_cl266]) ).
thf('64',plain,
( ( sk_ != n4 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17887]) ).
thf(zip_derived_cl405_522,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1086_523,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_524,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16737,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_cl1086,zip_derived_cl16730]) ).
thf(zip_derived_cl32_525,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_526,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl267,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_527,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_528,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_529,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16789,plain,
( ( ( sum @ n13 @ n13 )
!= ( sum @ n8 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16737,zip_derived_cl32,zip_derived_cl142,zip_derived_cl6,zip_derived_cl267,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137]) ).
thf(zip_derived_cl280_530,plain,
( ( sum @ n8 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17574,plain,
( ( ( sum @ n13 @ n13 )
!= n0 )
<= ( ( sk__1 = n9 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16789,zip_derived_cl280]) ).
thf(zip_derived_cl17742,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n9 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl17574]) ).
thf('65',plain,
( ( sk_ != n4 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17742]) ).
thf(zip_derived_cl1086_531,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_532,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13166,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_cl1086,zip_derived_cl13161]) ).
thf(zip_derived_cl32_533,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_534,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_535,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_536,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13219,plain,
( ( ( sum @ ( sum @ n3 @ n2 ) @ ( sum @ n0 @ n5 ) )
!= ( sum @ ( sum @ n3 @ n5 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13166,zip_derived_cl32,zip_derived_cl6,zip_derived_cl32,zip_derived_cl6]) ).
thf(zip_derived_cl134,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_537,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_538,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_539,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17709,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n1 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13219,zip_derived_cl134,zip_derived_cl59,zip_derived_cl189,zip_derived_cl137,zip_derived_cl264]) ).
thf('66',plain,
( ( sk_ != n4 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17709]) ).
thf(zip_derived_cl378_540,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1086_541,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_542,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16514,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_cl1086,zip_derived_cl16503]) ).
thf(zip_derived_cl32_543,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_544,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl241,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_545,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_546,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_547,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16566,plain,
( ( ( sum @ n12 @ n12 )
!= ( sum @ n8 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16514,zip_derived_cl32,zip_derived_cl141,zip_derived_cl6,zip_derived_cl241,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137]) ).
thf(zip_derived_cl278_548,plain,
( ( sum @ n8 @ n16 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17570,plain,
( ( ( sum @ n12 @ n12 )
!= n24 )
<= ( ( sk__1 = n8 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16566,zip_derived_cl278]) ).
thf(zip_derived_cl17586,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n8 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl17570]) ).
thf('67',plain,
( ( sk_ != n4 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17586]) ).
thf(zip_derived_cl351_549,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1086_550,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_551,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16286,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_cl1086,zip_derived_cl16281]) ).
thf(zip_derived_cl32_552,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_553,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl215,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_554,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_555,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_556,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16338,plain,
( ( ( sum @ n11 @ n11 )
!= ( sum @ n8 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16286,zip_derived_cl32,zip_derived_cl140,zip_derived_cl6,zip_derived_cl215,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137]) ).
thf(zip_derived_cl276_557,plain,
( ( sum @ n8 @ n14 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17388,plain,
( ( ( sum @ n11 @ n11 )
!= n22 )
<= ( ( sk__1 = n7 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16338,zip_derived_cl276]) ).
thf(zip_derived_cl17398,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n7 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl17388]) ).
thf('68',plain,
( ( sk_ != n4 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17398]) ).
thf(zip_derived_cl324_558,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1086_559,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_560,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15792,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_cl1086,zip_derived_cl15787]) ).
thf(zip_derived_cl32_561,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_562,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_563,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_564,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_565,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_566,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15844,plain,
( ( ( sum @ n10 @ n10 )
!= ( sum @ n8 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15792,zip_derived_cl32,zip_derived_cl139,zip_derived_cl6,zip_derived_cl189,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137]) ).
thf(zip_derived_cl274_567,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17152,plain,
( ( ( sum @ n10 @ n10 )
!= n20 )
<= ( ( sk__1 = n6 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15844,zip_derived_cl274]) ).
thf(zip_derived_cl17171,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n6 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl17152]) ).
thf('69',plain,
( ( sk_ != n4 )
| ( sk__1 != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17171]) ).
thf(zip_derived_cl297_568,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1086_569,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_570,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15183,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_cl1086,zip_derived_cl15178]) ).
thf(zip_derived_cl32_571,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_572,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl163,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_573,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_574,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_575,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15235,plain,
( ( ( sum @ n9 @ n9 )
!= ( sum @ n8 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15183,zip_derived_cl32,zip_derived_cl138,zip_derived_cl6,zip_derived_cl163,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137]) ).
thf(zip_derived_cl272_576,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16932,plain,
( ( ( sum @ n9 @ n9 )
!= n18 )
<= ( ( sk__1 = n5 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15235,zip_derived_cl272]) ).
thf(zip_derived_cl16949,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n5 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl16932]) ).
thf('70',plain,
( ( sk_ != n4 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16949]) ).
thf(zip_derived_cl1060_577,plain,
( ( sk__1 = n4 )
<= ( sk__1 = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1086_578,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl0_579,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_cl1544,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_cl1086,zip_derived_cl0]) ).
thf(zip_derived_cl6_580,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_581,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550,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_cl1544,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl2287,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_cl1060,zip_derived_cl1550]) ).
thf(zip_derived_cl6_582,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_583,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2344,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_cl2287,zip_derived_cl6,zip_derived_cl6]) ).
thf('71',plain,
( ( sk_ != n4 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2344]) ).
thf(zip_derived_cl717,plain,
( ( sum @ n25 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_584,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_585,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17415,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1082,zip_derived_cl17409]) ).
thf(zip_derived_cl28_586,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_587,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl341,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_588,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_589,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17467,plain,
( ( ( sum @ ( sum @ n25 @ n13 ) @ n12 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17415,zip_derived_cl28,zip_derived_cl2,zip_derived_cl341,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl21001,plain,
( ( ( sum @ n12 @ n12 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl17467]) ).
thf(zip_derived_cl378_590,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_591,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_592,plain,
( ( sum @ n0 @ n24 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21002,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n12 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21001,zip_derived_cl378,zip_derived_cl705,zip_derived_cl78]) ).
thf('72',plain,
( ( sk__1 != n12 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21002]) ).
thf(zip_derived_cl691,plain,
( ( sum @ n24 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_593,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_594,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17440,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl17409]) ).
thf(zip_derived_cl53_595,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_596,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl340,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_597,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_598,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17493,plain,
( ( ( sum @ ( sum @ n24 @ n13 ) @ n11 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17440,zip_derived_cl53,zip_derived_cl27,zip_derived_cl340,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20713,plain,
( ( ( sum @ n11 @ n11 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl691,zip_derived_cl17493]) ).
thf(zip_derived_cl351_599,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_600,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20714,plain,
( ( n22
!= ( sum @ n24 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20713,zip_derived_cl351,zip_derived_cl678]) ).
thf(zip_derived_cl702_601,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20979,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n12 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20714,zip_derived_cl702]) ).
thf('73',plain,
( ( sk__1 != n12 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20979]) ).
thf(zip_derived_cl677_602,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_603,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_604,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17439,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl17409]) ).
thf(zip_derived_cl52_605,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_606,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_607,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_608,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17492,plain,
( ( ( sum @ ( sum @ n23 @ n13 ) @ ( sum @ n11 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17439,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl365_609,plain,
( ( sum @ n11 @ n25 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19116,plain,
( ( ( sum @ ( sum @ n23 @ n13 ) @ n10 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17492,zip_derived_cl365]) ).
thf(zip_derived_cl20343,plain,
( ( ( sum @ ( sum @ n23 @ n13 ) @ n10 )
!= ( sum @ n22 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl19116]) ).
thf(zip_derived_cl665_610,plain,
( ( sum @ n23 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_611,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl650_612,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20377,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n12 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20343,zip_derived_cl665,zip_derived_cl324,zip_derived_cl650]) ).
thf('74',plain,
( ( sk__1 != n12 )
| ( sk_ != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20377]) ).
thf(zip_derived_cl675_613,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_614,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_615,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17426,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1093,zip_derived_cl17409]) ).
thf(zip_derived_cl39_616,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl327,plain,
( ( sum @ n10 @ n13 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_617,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352,plain,
( ( sum @ n11 @ n12 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_618,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_619,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_620,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17478,plain,
( ( ( sum @ n23 @ n23 )
!= ( sum @ n22 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17426,zip_derived_cl39,zip_derived_cl327,zip_derived_cl13,zip_derived_cl352,zip_derived_cl39,zip_derived_cl13,zip_derived_cl326]) ).
thf(zip_derived_cl20285,plain,
( ( n20
!= ( sum @ n22 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl17478]) ).
thf(zip_derived_cl650_621,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20306,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n12 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20285,zip_derived_cl650]) ).
thf('75',plain,
( ( sk__1 != n12 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20306]) ).
thf(zip_derived_cl648_622,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1092_623,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_624,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17425,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1092,zip_derived_cl17409]) ).
thf(zip_derived_cl38_625,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl301,plain,
( ( sum @ n9 @ n13 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_626,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_627,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_628,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_629,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_630,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17477,plain,
( ( ( sum @ n22 @ n22 )
!= ( sum @ n20 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17425,zip_derived_cl38,zip_derived_cl301,zip_derived_cl12,zip_derived_cl351,zip_derived_cl38,zip_derived_cl12,zip_derived_cl299]) ).
thf(zip_derived_cl19987,plain,
( ( n18
!= ( sum @ n20 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl17477]) ).
thf(zip_derived_cl598_631,plain,
( ( sum @ n20 @ n24 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20006,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n12 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19987,zip_derived_cl598]) ).
thf('76',plain,
( ( sk__1 != n12 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20006]) ).
thf(zip_derived_cl623_632,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_633,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_634,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17437,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl17409]) ).
thf(zip_derived_cl50_635,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_636,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_637,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_638,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17490,plain,
( ( ( sum @ ( sum @ n21 @ n13 ) @ ( sum @ n11 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17437,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl363,plain,
( ( sum @ n11 @ n23 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19114,plain,
( ( ( sum @ ( sum @ n21 @ n13 ) @ n8 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17490,zip_derived_cl363]) ).
thf(zip_derived_cl19741,plain,
( ( ( sum @ ( sum @ n21 @ n13 ) @ n8 )
!= ( sum @ n18 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl19114]) ).
thf(zip_derived_cl613,plain,
( ( sum @ n21 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_639,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_640,plain,
( ( sum @ n18 @ n24 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19765,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n12 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19741,zip_derived_cl613,zip_derived_cl270,zip_derived_cl546]) ).
thf('77',plain,
( ( sk__1 != n12 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19765]) ).
thf(zip_derived_cl621_641,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1091_642,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_643,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17424,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl17409]) ).
thf(zip_derived_cl37_644,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl275,plain,
( ( sum @ n8 @ n13 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_645,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl350,plain,
( ( sum @ n11 @ n10 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_646,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_647,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_648,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17476,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ n18 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17424,zip_derived_cl37,zip_derived_cl275,zip_derived_cl11,zip_derived_cl350,zip_derived_cl37,zip_derived_cl11,zip_derived_cl272]) ).
thf(zip_derived_cl19690,plain,
( ( n16
!= ( sum @ n18 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl17476]) ).
thf(zip_derived_cl546_649,plain,
( ( sum @ n18 @ n24 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19709,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n12 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19690,zip_derived_cl546]) ).
thf('78',plain,
( ( sk__1 != n12 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19709]) ).
thf(zip_derived_cl596_650,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_651,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_652,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17436,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl17409]) ).
thf(zip_derived_cl49_653,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_654,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_655,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_656,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17489,plain,
( ( ( sum @ ( sum @ n20 @ n13 ) @ ( sum @ n11 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17436,zip_derived_cl49,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23]) ).
thf(zip_derived_cl362,plain,
( ( sum @ n11 @ n22 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19113,plain,
( ( ( sum @ ( sum @ n20 @ n13 ) @ n7 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17489,zip_derived_cl362]) ).
thf(zip_derived_cl19453,plain,
( ( ( sum @ ( sum @ n20 @ n13 ) @ n7 )
!= ( sum @ n16 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl19113]) ).
thf(zip_derived_cl587,plain,
( ( sum @ n20 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_657,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl494_658,plain,
( ( sum @ n16 @ n24 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19474,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n12 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19453,zip_derived_cl587,zip_derived_cl243,zip_derived_cl494]) ).
thf('79',plain,
( ( sk__1 != n12 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19474]) ).
thf(zip_derived_cl594_659,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1090_660,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_661,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17423,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1090,zip_derived_cl17409]) ).
thf(zip_derived_cl36_662,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl249,plain,
( ( sum @ n7 @ n13 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_663,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl349,plain,
( ( sum @ n11 @ n9 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_664,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_665,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_666,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17475,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ n16 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17423,zip_derived_cl36,zip_derived_cl249,zip_derived_cl10,zip_derived_cl349,zip_derived_cl36,zip_derived_cl10,zip_derived_cl245]) ).
thf(zip_derived_cl19407,plain,
( ( n14
!= ( sum @ n16 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl17475]) ).
thf(zip_derived_cl494_667,plain,
( ( sum @ n16 @ n24 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19424,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n12 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19407,zip_derived_cl494]) ).
thf('80',plain,
( ( sk__1 != n12 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19424]) ).
thf(zip_derived_cl569_668,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102_669,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_670,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17435,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1102,zip_derived_cl17409]) ).
thf(zip_derived_cl48_671,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_672,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_673,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_674,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17488,plain,
( ( ( sum @ ( sum @ n19 @ n13 ) @ ( sum @ n11 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17435,zip_derived_cl48,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22]) ).
thf(zip_derived_cl561,plain,
( ( sum @ n19 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl361,plain,
( ( sum @ n11 @ n21 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_675,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19112,plain,
( ( n12
!= ( sum @ ( sum @ n19 @ n21 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17488,zip_derived_cl561,zip_derived_cl361,zip_derived_cl216]) ).
thf(zip_derived_cl19171,plain,
( ( n12
!= ( sum @ n14 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl19112]) ).
thf(zip_derived_cl442_676,plain,
( ( sum @ n14 @ n24 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19191,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n12 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19171,zip_derived_cl442]) ).
thf('81',plain,
( ( sk__1 != n12 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19191]) ).
thf(zip_derived_cl567_677,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1089_678,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_679,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17422,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1089,zip_derived_cl17409]) ).
thf(zip_derived_cl35_680,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl223,plain,
( ( sum @ n6 @ n13 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_681,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl348,plain,
( ( sum @ n11 @ n8 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_682,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_683,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_684,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17474,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ n14 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17422,zip_derived_cl35,zip_derived_cl223,zip_derived_cl9,zip_derived_cl348,zip_derived_cl35,zip_derived_cl9,zip_derived_cl218]) ).
thf(zip_derived_cl19127,plain,
( ( n12
!= ( sum @ n14 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl17474]) ).
thf(zip_derived_cl442_685,plain,
( ( sum @ n14 @ n24 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19144,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n12 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19127,zip_derived_cl442]) ).
thf('82',plain,
( ( sk__1 != n12 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19144]) ).
thf(zip_derived_cl1101_686,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_687,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17434,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1101,zip_derived_cl17409]) ).
thf(zip_derived_cl47_688,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_689,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_690,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_691,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17487,plain,
( ( ( sum @ ( sum @ n18 @ n13 ) @ ( sum @ n11 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17434,zip_derived_cl47,zip_derived_cl21,zip_derived_cl47,zip_derived_cl21]) ).
thf(zip_derived_cl535,plain,
( ( sum @ n18 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl360,plain,
( ( sum @ n11 @ n20 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_692,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_693,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl390_694,plain,
( ( sum @ n12 @ n24 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19110,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n12 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17487,zip_derived_cl535,zip_derived_cl360,zip_derived_cl189,zip_derived_cl542,zip_derived_cl390]) ).
thf('83',plain,
( ( sk__1 != n12 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19110]) ).
thf(zip_derived_cl1100_695,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_696,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17433,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1100,zip_derived_cl17409]) ).
thf(zip_derived_cl46_697,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_698,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_699,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_700,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17486,plain,
( ( ( sum @ ( sum @ n17 @ n13 ) @ ( sum @ n11 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17433,zip_derived_cl46,zip_derived_cl20,zip_derived_cl46,zip_derived_cl20]) ).
thf(zip_derived_cl509,plain,
( ( sum @ n17 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl359,plain,
( ( sum @ n11 @ n19 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_701,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_702,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl338_703,plain,
( ( sum @ n10 @ n24 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19108,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n12 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17486,zip_derived_cl509,zip_derived_cl359,zip_derived_cl162,zip_derived_cl515,zip_derived_cl338]) ).
thf('84',plain,
( ( sk_ != n18 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19108]) ).
thf(zip_derived_cl1099_704,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_705,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17432,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1099,zip_derived_cl17409]) ).
thf(zip_derived_cl45_706,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_707,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_708,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_709,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17485,plain,
( ( ( sum @ ( sum @ n16 @ n13 ) @ ( sum @ n11 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17432,zip_derived_cl45,zip_derived_cl19,zip_derived_cl45,zip_derived_cl19]) ).
thf(zip_derived_cl483,plain,
( ( sum @ n16 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl358,plain,
( ( sum @ n11 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_710,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_711,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_712,plain,
( ( sum @ n8 @ n24 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19106,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n12 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17485,zip_derived_cl483,zip_derived_cl358,zip_derived_cl135,zip_derived_cl488,zip_derived_cl286]) ).
thf('85',plain,
( ( sk__1 != n12 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19106]) ).
thf(zip_derived_cl1098_713,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_714,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17431,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl17409]) ).
thf(zip_derived_cl44_715,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_716,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_717,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_718,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17484,plain,
( ( ( sum @ ( sum @ n15 @ n13 ) @ ( sum @ n11 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17431,zip_derived_cl44,zip_derived_cl18,zip_derived_cl44,zip_derived_cl18]) ).
thf(zip_derived_cl457,plain,
( ( sum @ n15 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl357,plain,
( ( sum @ n11 @ n17 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_719,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_720,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234_721,plain,
( ( sum @ n6 @ n24 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19104,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n12 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17484,zip_derived_cl457,zip_derived_cl357,zip_derived_cl108,zip_derived_cl461,zip_derived_cl234]) ).
thf('86',plain,
( ( sk__1 != n12 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19104]) ).
thf(zip_derived_cl1097_722,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_723,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17430,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1097,zip_derived_cl17409]) ).
thf(zip_derived_cl43_724,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_725,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_726,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_727,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17483,plain,
( ( ( sum @ ( sum @ n14 @ n13 ) @ ( sum @ n11 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17430,zip_derived_cl43,zip_derived_cl17,zip_derived_cl43,zip_derived_cl17]) ).
thf(zip_derived_cl431,plain,
( ( sum @ n14 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl356,plain,
( ( sum @ n11 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_728,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_729,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182_730,plain,
( ( sum @ n4 @ n24 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19102,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n12 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17483,zip_derived_cl431,zip_derived_cl356,zip_derived_cl81,zip_derived_cl434,zip_derived_cl182]) ).
thf('87',plain,
( ( sk__1 != n12 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19102]) ).
thf(zip_derived_cl1096_731,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_732,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17429,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1096,zip_derived_cl17409]) ).
thf(zip_derived_cl42_733,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_734,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_735,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_736,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17482,plain,
( ( ( sum @ ( sum @ n13 @ n13 ) @ ( sum @ n11 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17429,zip_derived_cl42,zip_derived_cl16,zip_derived_cl42,zip_derived_cl16]) ).
thf(zip_derived_cl405_737,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl355,plain,
( ( sum @ n11 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_738,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_739,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130,plain,
( ( sum @ n2 @ n24 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19100,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n12 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17482,zip_derived_cl405,zip_derived_cl355,zip_derived_cl54,zip_derived_cl407,zip_derived_cl130]) ).
thf('88',plain,
( ( sk__1 != n12 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19100]) ).
thf(zip_derived_cl540_740,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1088_741,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_742,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17421,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1088,zip_derived_cl17409]) ).
thf(zip_derived_cl34_743,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl197,plain,
( ( sum @ n5 @ n13 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_744,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl347,plain,
( ( sum @ n11 @ n7 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_745,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_746,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_747,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17473,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ n12 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17421,zip_derived_cl34,zip_derived_cl197,zip_derived_cl8,zip_derived_cl347,zip_derived_cl34,zip_derived_cl8,zip_derived_cl191]) ).
thf(zip_derived_cl18865,plain,
( ( n10
!= ( sum @ n12 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl17473]) ).
thf(zip_derived_cl390_748,plain,
( ( sum @ n12 @ n24 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18880,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n12 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18865,zip_derived_cl390]) ).
thf('89',plain,
( ( sk__1 != n12 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18880]) ).
thf(zip_derived_cl513_749,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1087_750,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_751,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17420,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1087,zip_derived_cl17409]) ).
thf(zip_derived_cl33_752,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl171,plain,
( ( sum @ n4 @ n13 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_753,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl346,plain,
( ( sum @ n11 @ n6 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_754,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_755,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_756,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl338_757,plain,
( ( sum @ n10 @ n24 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17472,plain,
( ( ( sum @ n17 @ n17 )
!= n8 )
<= ( ( sk__1 = n12 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17420,zip_derived_cl33,zip_derived_cl171,zip_derived_cl7,zip_derived_cl346,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164,zip_derived_cl338]) ).
thf(zip_derived_cl18626,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n12 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl17472]) ).
thf('90',plain,
( ( sk__1 != n12 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18626]) ).
thf(zip_derived_cl459_758,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1085_759,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_760,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17418,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1085,zip_derived_cl17409]) ).
thf(zip_derived_cl31_761,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_762,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl344,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_763,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_764,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_765,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234_766,plain,
( ( sum @ n6 @ n24 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17470,plain,
( ( ( sum @ n15 @ n15 )
!= n4 )
<= ( ( sk__1 = n12 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17418,zip_derived_cl31,zip_derived_cl119,zip_derived_cl5,zip_derived_cl344,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110,zip_derived_cl234]) ).
thf(zip_derived_cl18184,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n12 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl17470]) ).
thf('91',plain,
( ( sk_ != n3 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18184]) ).
thf(zip_derived_cl432_767,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1084_768,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_769,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17417,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1084,zip_derived_cl17409]) ).
thf(zip_derived_cl30_770,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_771,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl343,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_772,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_773,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_774,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182_775,plain,
( ( sum @ n4 @ n24 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17469,plain,
( ( ( sum @ n14 @ n14 )
!= n2 )
<= ( ( sk__1 = n12 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17417,zip_derived_cl30,zip_derived_cl93,zip_derived_cl4,zip_derived_cl343,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl182]) ).
thf(zip_derived_cl17961,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n12 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl17469]) ).
thf('92',plain,
( ( sk__1 != n12 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17961]) ).
thf(zip_derived_cl729_776,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1095_777,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_778,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17428,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1095,zip_derived_cl17409]) ).
thf(zip_derived_cl41_779,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_780,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354,plain,
( ( sum @ n11 @ n14 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_781,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_782,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17481,plain,
( ( ( sum @ ( sum @ n12 @ n13 ) @ n25 )
!= ( sum @ ( sum @ n12 @ n14 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17428,zip_derived_cl41,zip_derived_cl15,zip_derived_cl354,zip_derived_cl41,zip_derived_cl15]) ).
thf(zip_derived_cl379,plain,
( ( sum @ n12 @ n13 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_783,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_784,plain,
( ( sum @ n0 @ n24 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17703,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n12 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17481,zip_derived_cl379,zip_derived_cl380,zip_derived_cl78]) ).
thf(zip_derived_cl21122,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n12 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl17703]) ).
thf('93',plain,
( ( sk__1 != n12 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21122]) ).
thf(zip_derived_cl1094_785,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl3700_786,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_cl1205,zip_derived_cl14,zip_derived_cl14]) ).
thf(zip_derived_cl3713,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_cl1094,zip_derived_cl3700]) ).
thf(zip_derived_cl14_787,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_788,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3765,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_cl3713,zip_derived_cl14,zip_derived_cl14]) ).
thf('94',plain,
( ( sk__1 != n12 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3765]) ).
thf(zip_derived_cl729_789,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_790,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_791,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20848,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl20819]) ).
thf(zip_derived_cl53_792,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl679,plain,
( ( sum @ n24 @ n1 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_793,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl704,plain,
( ( sum @ n25 @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_794,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_795,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_796,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_797,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20902,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n0 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20848,zip_derived_cl53,zip_derived_cl679,zip_derived_cl27,zip_derived_cl704,zip_derived_cl53,zip_derived_cl27,zip_derived_cl678,zip_derived_cl678]) ).
thf(zip_derived_cl21145,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n0 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl20902]) ).
thf('95',plain,
( ( sk_ != n25 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21145]) ).
thf(zip_derived_cl690,plain,
( ( sum @ n24 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_798,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_799,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17209,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl17181]) ).
thf(zip_derived_cl53_800,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_801,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl314,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_802,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_803,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17262,plain,
( ( ( sum @ ( sum @ n24 @ n12 ) @ n10 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17209,zip_derived_cl53,zip_derived_cl27,zip_derived_cl314,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20706,plain,
( ( ( sum @ n10 @ n10 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl690,zip_derived_cl17262]) ).
thf(zip_derived_cl324_804,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_805,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20709,plain,
( ( n20
!= ( sum @ n24 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20706,zip_derived_cl324,zip_derived_cl678]) ).
thf(zip_derived_cl700_806,plain,
( ( sum @ n24 @ n22 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20977,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n11 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20709,zip_derived_cl700]) ).
thf('96',plain,
( ( sk_ != n25 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20977]) ).
thf(zip_derived_cl689,plain,
( ( sum @ n24 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_807,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_808,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16992,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl16960]) ).
thf(zip_derived_cl53_809,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_810,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_811,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_812,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17045,plain,
( ( ( sum @ ( sum @ n24 @ n11 ) @ n9 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16992,zip_derived_cl53,zip_derived_cl27,zip_derived_cl288,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20704,plain,
( ( ( sum @ n9 @ n9 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl689,zip_derived_cl17045]) ).
thf(zip_derived_cl297_813,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_814,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20705,plain,
( ( n18
!= ( sum @ n24 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20704,zip_derived_cl297,zip_derived_cl678]) ).
thf(zip_derived_cl698,plain,
( ( sum @ n24 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20972,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n10 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20705,zip_derived_cl698]) ).
thf('97',plain,
( ( sk_ != n25 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20972]) ).
thf(zip_derived_cl688,plain,
( ( sum @ n24 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_815,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_816,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16758,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl16730]) ).
thf(zip_derived_cl53_817,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_818,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262_819,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_820,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_821,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16811,plain,
( ( ( sum @ ( sum @ n24 @ n10 ) @ n8 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16758,zip_derived_cl53,zip_derived_cl27,zip_derived_cl262,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20697,plain,
( ( ( sum @ n8 @ n8 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl688,zip_derived_cl16811]) ).
thf(zip_derived_cl270_822,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_823,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20700,plain,
( ( n16
!= ( sum @ n24 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20697,zip_derived_cl270,zip_derived_cl678]) ).
thf(zip_derived_cl696,plain,
( ( sum @ n24 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20970,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n9 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20700,zip_derived_cl696]) ).
thf('98',plain,
( ( sk_ != n25 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20970]) ).
thf(zip_derived_cl687,plain,
( ( sum @ n24 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_824,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_825,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16535,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl16503]) ).
thf(zip_derived_cl53_826,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_827,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl236,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_828,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_829,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16588,plain,
( ( ( sum @ ( sum @ n24 @ n9 ) @ n7 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16535,zip_derived_cl53,zip_derived_cl27,zip_derived_cl236,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20695,plain,
( ( ( sum @ n7 @ n7 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl687,zip_derived_cl16588]) ).
thf(zip_derived_cl243_830,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_831,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20696,plain,
( ( n14
!= ( sum @ n24 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20695,zip_derived_cl243,zip_derived_cl678]) ).
thf(zip_derived_cl694,plain,
( ( sum @ n24 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20968,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n8 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20696,zip_derived_cl694]) ).
thf('99',plain,
( ( sk_ != n25 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20968]) ).
thf(zip_derived_cl686,plain,
( ( sum @ n24 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_832,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_833,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16307,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl16281]) ).
thf(zip_derived_cl53_834,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_835,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_836,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_837,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16360,plain,
( ( ( sum @ ( sum @ n24 @ n8 ) @ n6 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16307,zip_derived_cl53,zip_derived_cl27,zip_derived_cl210,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20688,plain,
( ( ( sum @ n6 @ n6 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl686,zip_derived_cl16360]) ).
thf(zip_derived_cl216_838,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_839,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20691,plain,
( ( n12
!= ( sum @ n24 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20688,zip_derived_cl216,zip_derived_cl678]) ).
thf(zip_derived_cl692,plain,
( ( sum @ n24 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20963,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n7 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20691,zip_derived_cl692]) ).
thf('100',plain,
( ( sk_ != n25 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20963]) ).
thf(zip_derived_cl685,plain,
( ( sum @ n24 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_840,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_841,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15813,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl15787]) ).
thf(zip_derived_cl53_842,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_843,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl184,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_844,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_845,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15866,plain,
( ( ( sum @ ( sum @ n24 @ n7 ) @ n5 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15813,zip_derived_cl53,zip_derived_cl27,zip_derived_cl184,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20686,plain,
( ( ( sum @ n5 @ n5 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl15866]) ).
thf(zip_derived_cl189_846,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_847,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20687,plain,
( ( n10
!= ( sum @ n24 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20686,zip_derived_cl189,zip_derived_cl678]) ).
thf(zip_derived_cl690_848,plain,
( ( sum @ n24 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20961,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n6 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20687,zip_derived_cl690]) ).
thf('101',plain,
( ( sk_ != n25 )
| ( sk__1 != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20961]) ).
thf(zip_derived_cl684,plain,
( ( sum @ n24 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_849,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_850,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15204,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl15178]) ).
thf(zip_derived_cl53_851,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_852,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_853,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_854,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15257,plain,
( ( ( sum @ ( sum @ n24 @ n6 ) @ n4 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15204,zip_derived_cl53,zip_derived_cl27,zip_derived_cl158,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20679,plain,
( ( ( sum @ n4 @ n4 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl15257]) ).
thf(zip_derived_cl162_855,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_856,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20682,plain,
( ( n8
!= ( sum @ n24 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20679,zip_derived_cl162,zip_derived_cl678]) ).
thf(zip_derived_cl688_857,plain,
( ( sum @ n24 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20959,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n5 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20682,zip_derived_cl688]) ).
thf('102',plain,
( ( sk_ != n25 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20959]) ).
thf(zip_derived_cl683_858,plain,
( ( sum @ n24 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_859,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_860,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14660,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl14634]) ).
thf(zip_derived_cl53_861,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_862,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_863,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_864,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_865,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14713,plain,
( ( ( sum @ ( sum @ n24 @ n5 ) @ n3 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14660,zip_derived_cl53,zip_derived_cl27,zip_derived_cl132,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20677,plain,
( ( ( sum @ n3 @ n3 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl683,zip_derived_cl14713]) ).
thf(zip_derived_cl135_866,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_867,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20678,plain,
( ( n6
!= ( sum @ n24 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20677,zip_derived_cl135,zip_derived_cl678]) ).
thf(zip_derived_cl686_868,plain,
( ( sum @ n24 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20957,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n4 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20678,zip_derived_cl686]) ).
thf('103',plain,
( ( sk_ != n25 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20957]) ).
thf(zip_derived_cl681,plain,
( ( sum @ n24 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_869,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_870,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13410,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl13384]) ).
thf(zip_derived_cl53_871,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_872,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_873,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_874,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13463,plain,
( ( ( sum @ ( sum @ n24 @ n3 ) @ n1 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13410,zip_derived_cl53,zip_derived_cl27,zip_derived_cl80,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20668,plain,
( ( ( sum @ n1 @ n1 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl681,zip_derived_cl13463]) ).
thf(zip_derived_cl81_875,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_876,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20669,plain,
( ( n2
!= ( sum @ n24 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20668,zip_derived_cl81,zip_derived_cl678]) ).
thf(zip_derived_cl682,plain,
( ( sum @ n24 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20950,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n2 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20669,zip_derived_cl682]) ).
thf('104',plain,
( ( sk_ != n25 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20950]) ).
thf(zip_derived_cl701,plain,
( ( sum @ n24 @ n23 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_877,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_878,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19800,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl19729]) ).
thf(zip_derived_cl53_879,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_880,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl600,plain,
( ( sum @ n21 @ n0 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_881,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_882,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19869,plain,
( ( ( sum @ ( sum @ n24 @ n23 ) @ n21 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19800,zip_derived_cl53,zip_derived_cl27,zip_derived_cl600,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20765,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl701,zip_derived_cl19869]) ).
thf(zip_derived_cl621_883,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_884,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl696_885,plain,
( ( sum @ n24 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20766,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n22 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20765,zip_derived_cl621,zip_derived_cl678,zip_derived_cl696]) ).
thf('105',plain,
( ( sk_ != n25 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20766]) ).
thf(zip_derived_cl700_886,plain,
( ( sum @ n24 @ n22 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_887,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_888,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19505,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl19441]) ).
thf(zip_derived_cl53_889,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_890,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl574_891,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_892,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_893,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19572,plain,
( ( ( sum @ ( sum @ n24 @ n22 ) @ n20 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19505,zip_derived_cl53,zip_derived_cl27,zip_derived_cl574,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20760,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl700,zip_derived_cl19572]) ).
thf(zip_derived_cl594_894,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_895,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl694_896,plain,
( ( sum @ n24 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20763,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n21 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20760,zip_derived_cl594,zip_derived_cl678,zip_derived_cl694]) ).
thf('106',plain,
( ( sk_ != n25 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20763]) ).
thf(zip_derived_cl699,plain,
( ( sum @ n24 @ n21 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_897,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_898,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19218,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl19158]) ).
thf(zip_derived_cl53_899,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_900,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl548,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_901,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_902,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19282,plain,
( ( ( sum @ ( sum @ n24 @ n21 ) @ n19 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19218,zip_derived_cl53,zip_derived_cl27,zip_derived_cl548,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20756,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl699,zip_derived_cl19282]) ).
thf(zip_derived_cl567_903,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_904,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl692_905,plain,
( ( sum @ n24 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20757,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n20 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20756,zip_derived_cl567,zip_derived_cl678,zip_derived_cl692]) ).
thf('107',plain,
( ( sk_ != n25 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20757]) ).
thf(zip_derived_cl698_906,plain,
( ( sum @ n24 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_907,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_908,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18948,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl18892]) ).
thf(zip_derived_cl53_909,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_910,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl522,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_911,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_912,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19010,plain,
( ( ( sum @ ( sum @ n24 @ n20 ) @ n18 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18948,zip_derived_cl53,zip_derived_cl27,zip_derived_cl522,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20749,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl698,zip_derived_cl19010]) ).
thf(zip_derived_cl540_913,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_914,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl690_915,plain,
( ( sum @ n24 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20753,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n19 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20749,zip_derived_cl540,zip_derived_cl678,zip_derived_cl690]) ).
thf('108',plain,
( ( sk_ != n25 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20753]) ).
thf(zip_derived_cl697,plain,
( ( sum @ n24 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_916,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_917,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18695,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl18650]) ).
thf(zip_derived_cl53_918,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_919,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl496,plain,
( ( sum @ n17 @ n0 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_920,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_921,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18754,plain,
( ( ( sum @ ( sum @ n24 @ n19 ) @ n17 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18695,zip_derived_cl53,zip_derived_cl27,zip_derived_cl496,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20745,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl18754]) ).
thf(zip_derived_cl513_922,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_923,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl688_924,plain,
( ( sum @ n24 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20746,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n18 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20745,zip_derived_cl513,zip_derived_cl678,zip_derived_cl688]) ).
thf('109',plain,
( ( sk_ != n25 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20746]) ).
thf(zip_derived_cl696_925,plain,
( ( sum @ n24 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_926,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_927,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18467,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl18424]) ).
thf(zip_derived_cl53_928,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_929,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl470,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_930,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_931,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18524,plain,
( ( ( sum @ ( sum @ n24 @ n18 ) @ n16 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18467,zip_derived_cl53,zip_derived_cl27,zip_derived_cl470,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20737,plain,
( ( ( sum @ n16 @ n16 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl18524]) ).
thf(zip_derived_cl486_932,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_933,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl686_934,plain,
( ( sum @ n24 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20740,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n17 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20737,zip_derived_cl486,zip_derived_cl678,zip_derived_cl686]) ).
thf('110',plain,
( ( sk_ != n25 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20740]) ).
thf(zip_derived_cl695,plain,
( ( sum @ n24 @ n17 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_935,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_936,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18236,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl18201]) ).
thf(zip_derived_cl53_937,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_938,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl444,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_939,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_940,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18292,plain,
( ( ( sum @ ( sum @ n24 @ n17 ) @ n15 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18236,zip_derived_cl53,zip_derived_cl27,zip_derived_cl444,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20734,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl18292]) ).
thf(zip_derived_cl459_941,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_942,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl684_943,plain,
( ( sum @ n24 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20735,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n16 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20734,zip_derived_cl459,zip_derived_cl678,zip_derived_cl684]) ).
thf('111',plain,
( ( sk_ != n25 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20735]) ).
thf(zip_derived_cl694_944,plain,
( ( sum @ n24 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_945,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_946,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl18010,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl17975]) ).
thf(zip_derived_cl53_947,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_948,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_949,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_950,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18065,plain,
( ( ( sum @ ( sum @ n24 @ n16 ) @ n14 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18010,zip_derived_cl53,zip_derived_cl27,zip_derived_cl418,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20726,plain,
( ( ( sum @ n14 @ n14 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl694,zip_derived_cl18065]) ).
thf(zip_derived_cl432_951,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_952,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl682_953,plain,
( ( sum @ n24 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20729,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n15 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20726,zip_derived_cl432,zip_derived_cl678,zip_derived_cl682]) ).
thf('112',plain,
( ( sk_ != n25 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20729]) ).
thf(zip_derived_cl693,plain,
( ( sum @ n24 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_954,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_955,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17788,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl17756]) ).
thf(zip_derived_cl53_956,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_957,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl392,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_958,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_959,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17842,plain,
( ( ( sum @ ( sum @ n24 @ n15 ) @ n13 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17788,zip_derived_cl53,zip_derived_cl27,zip_derived_cl392,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20723,plain,
( ( ( sum @ n13 @ n13 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl693,zip_derived_cl17842]) ).
thf(zip_derived_cl405_960,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_961,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl680,plain,
( ( sum @ n24 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20724,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n14 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20723,zip_derived_cl405,zip_derived_cl678,zip_derived_cl680]) ).
thf('113',plain,
( ( sk_ != n25 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20724]) ).
thf(zip_derived_cl692_962,plain,
( ( sum @ n24 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_963,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_964,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17618,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl17592]) ).
thf(zip_derived_cl53_965,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_966,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl366,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_967,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_968,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17671,plain,
( ( ( sum @ ( sum @ n24 @ n14 ) @ n12 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17618,zip_derived_cl53,zip_derived_cl27,zip_derived_cl366,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20715,plain,
( ( ( sum @ n12 @ n12 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl692,zip_derived_cl17671]) ).
thf(zip_derived_cl378_969,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_970,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_971,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20718,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n13 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20715,zip_derived_cl378,zip_derived_cl678,zip_derived_cl678]) ).
thf('114',plain,
( ( sk_ != n25 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20718]) ).
thf(zip_derived_cl680_972,plain,
( ( sum @ n24 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_973,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_974,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13187,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl13161]) ).
thf(zip_derived_cl53_975,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_976,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_977,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_978,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_979,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13240,plain,
( ( ( sum @ ( sum @ n24 @ n2 ) @ n0 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13187,zip_derived_cl53,zip_derived_cl27,zip_derived_cl54,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20658,plain,
( ( ( sum @ n0 @ n0 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl680,zip_derived_cl13240]) ).
thf(zip_derived_cl54_980,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_981,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl680_982,plain,
( ( sum @ n24 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20662,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n1 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20658,zip_derived_cl54,zip_derived_cl678,zip_derived_cl680]) ).
thf('115',plain,
( ( sk_ != n25 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20662]) ).
thf(zip_derived_cl1107_983,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl5830_984,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ ( pred @ n25 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n25 ) @ n0 ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1485,zip_derived_cl27,zip_derived_cl27]) ).
thf(zip_derived_cl5856,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n0 ) @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ ( sum @ ( pred @ n25 ) @ n0 ) ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl5830]) ).
thf(zip_derived_cl27_985,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_986,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5908,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n0 ) @ ( sum @ ( pred @ n25 ) @ n0 ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ n0 ) @ ( sum @ ( pred @ n25 ) @ n0 ) ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5856,zip_derived_cl27,zip_derived_cl27]) ).
thf('116',plain,
( ( sk_ != n25 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5908]) ).
thf(zip_derived_cl729_987,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_988,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_989,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_990,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14656,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl14634]) ).
thf(zip_derived_cl49_991,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_992,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_993,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_994,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14709,plain,
( ( ( sum @ ( sum @ n20 @ n5 ) @ ( sum @ n3 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14656,zip_derived_cl49,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23]) ).
thf(zip_derived_cl154_995,plain,
( ( sum @ n3 @ n22 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18146,plain,
( ( ( sum @ ( sum @ n20 @ n5 ) @ n25 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14709,zip_derived_cl154]) ).
thf(zip_derived_cl19445,plain,
( ( ( sum @ ( sum @ n20 @ n5 ) @ n25 )
!= ( sum @ n16 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl18146]) ).
thf(zip_derived_cl579_996,plain,
( ( sum @ n20 @ n5 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl478,plain,
( ( sum @ n16 @ n8 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19459,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n4 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19445,zip_derived_cl579,zip_derived_cl478]) ).
thf(zip_derived_cl21137,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n4 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl19459]) ).
thf('117',plain,
( ( sk__1 != n4 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21137]) ).
thf(zip_derived_cl709_997,plain,
( ( sum @ n25 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_998,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_999,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14635,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_cl1082,zip_derived_cl14634]) ).
thf(zip_derived_cl28_1000,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_1001,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl133_1002,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_1003,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_1004,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14687,plain,
( ( ( sum @ ( sum @ n25 @ n5 ) @ n4 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14635,zip_derived_cl28,zip_derived_cl2,zip_derived_cl133,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl20937,plain,
( ( ( sum @ n4 @ n4 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl709,zip_derived_cl14687]) ).
thf(zip_derived_cl162_1005,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_1006,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20938,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n4 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20937,zip_derived_cl162,zip_derived_cl705,zip_derived_cl62]) ).
thf('118',plain,
( ( sk__1 != n4 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20938]) ).
thf(zip_derived_cl702_1007,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_1008,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102_1009,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_1010,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14655,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_cl1102,zip_derived_cl14634]) ).
thf(zip_derived_cl48_1011,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_1012,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1013,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_1014,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14708,plain,
( ( ( sum @ ( sum @ n19 @ n5 ) @ ( sum @ n3 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14655,zip_derived_cl48,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22]) ).
thf(zip_derived_cl153_1015,plain,
( ( sum @ n3 @ n21 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18145,plain,
( ( ( sum @ ( sum @ n19 @ n5 ) @ n24 )
!= ( sum @ ( sum @ n19 @ n21 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14708,zip_derived_cl153]) ).
thf(zip_derived_cl19162,plain,
( ( ( sum @ ( sum @ n19 @ n5 ) @ n24 )
!= ( sum @ n14 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl18145]) ).
thf(zip_derived_cl553_1016,plain,
( ( sum @ n19 @ n5 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl426,plain,
( ( sum @ n14 @ n8 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19175,plain,
( ( ( sum @ n24 @ n24 )
!= n22 )
<= ( ( sk__1 = n4 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19162,zip_derived_cl553,zip_derived_cl426]) ).
thf(zip_derived_cl20782,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n4 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl19175]) ).
thf('119',plain,
( ( sk__1 != n4 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20782]) ).
thf(zip_derived_cl686_1017,plain,
( ( sum @ n24 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_1018,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_1019,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14647,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_cl1094,zip_derived_cl14634]) ).
thf(zip_derived_cl40_1020,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1021,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1022,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1023,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14700,plain,
( ( ( sum @ ( sum @ n11 @ n5 ) @ ( sum @ n3 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14647,zip_derived_cl40,zip_derived_cl14,zip_derived_cl40,zip_derived_cl14]) ).
thf(zip_derived_cl345_1024,plain,
( ( sum @ n11 @ n5 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145_1025,plain,
( ( sum @ n3 @ n13 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1026,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18137,plain,
( ( ( sum @ n16 @ n16 )
!= ( sum @ n24 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14700,zip_derived_cl345,zip_derived_cl145,zip_derived_cl353]) ).
thf(zip_derived_cl20689,plain,
( ( ( sum @ n16 @ n16 )
!= n6 )
<= ( ( sk__1 = n4 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl686,zip_derived_cl18137]) ).
thf(zip_derived_cl486_1027,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20692,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n4 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20689,zip_derived_cl486]) ).
thf('120',plain,
( ( sk__1 != n4 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20692]) ).
thf(zip_derived_cl677_1028,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_1029,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_1030,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14659,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl14634]) ).
thf(zip_derived_cl52_1031,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_1032,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_1033,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_1034,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14712,plain,
( ( ( sum @ ( sum @ n23 @ n5 ) @ ( sum @ n3 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14659,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl157_1035,plain,
( ( sum @ n3 @ n25 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18149,plain,
( ( ( sum @ ( sum @ n23 @ n5 ) @ n2 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14712,zip_derived_cl157]) ).
thf(zip_derived_cl20335,plain,
( ( ( sum @ ( sum @ n23 @ n5 ) @ n2 )
!= ( sum @ n22 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl18149]) ).
thf(zip_derived_cl657_1036,plain,
( ( sum @ n23 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_1037,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl634_1038,plain,
( ( sum @ n22 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20361,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n4 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20335,zip_derived_cl657,zip_derived_cl108,zip_derived_cl634]) ).
thf('121',plain,
( ( sk__1 != n4 )
| ( sk_ != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20361]) ).
thf(zip_derived_cl675_1039,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_1040,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1101_1041,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_1042,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14654,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_cl1101,zip_derived_cl14634]) ).
thf(zip_derived_cl47_1043,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_1044,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1045,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_1046,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14707,plain,
( ( ( sum @ ( sum @ n18 @ n5 ) @ ( sum @ n3 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14654,zip_derived_cl47,zip_derived_cl21,zip_derived_cl47,zip_derived_cl21]) ).
thf(zip_derived_cl152_1047,plain,
( ( sum @ n3 @ n20 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18144,plain,
( ( ( sum @ ( sum @ n18 @ n5 ) @ n23 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14707,zip_derived_cl152]) ).
thf(zip_derived_cl18896,plain,
( ( ( sum @ ( sum @ n18 @ n5 ) @ n23 )
!= ( sum @ n12 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl18144]) ).
thf(zip_derived_cl527_1048,plain,
( ( sum @ n18 @ n5 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18908,plain,
( ( ( sum @ n23 @ n23 )
!= n20 )
<= ( ( sk__1 = n4 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18896,zip_derived_cl527,zip_derived_cl374]) ).
thf(zip_derived_cl20298,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n4 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl18908]) ).
thf('122',plain,
( ( sk__1 != n4 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20298]) ).
thf(zip_derived_cl648_1049,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_1050,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1100_1051,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_1052,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14653,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_cl1100,zip_derived_cl14634]) ).
thf(zip_derived_cl46_1053,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1054,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1055,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1056,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14706,plain,
( ( ( sum @ ( sum @ n17 @ n5 ) @ ( sum @ n3 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14653,zip_derived_cl46,zip_derived_cl20,zip_derived_cl46,zip_derived_cl20]) ).
thf(zip_derived_cl151_1057,plain,
( ( sum @ n3 @ n19 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18143,plain,
( ( ( sum @ ( sum @ n17 @ n5 ) @ n22 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14706,zip_derived_cl151]) ).
thf(zip_derived_cl18654,plain,
( ( ( sum @ ( sum @ n17 @ n5 ) @ n22 )
!= ( sum @ n10 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl18143]) ).
thf(zip_derived_cl501_1058,plain,
( ( sum @ n17 @ n5 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18663,plain,
( ( ( sum @ n22 @ n22 )
!= n18 )
<= ( ( sk__1 = n4 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18654,zip_derived_cl501,zip_derived_cl322]) ).
thf(zip_derived_cl19997,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n4 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl18663]) ).
thf('123',plain,
( ( sk_ != n18 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19997]) ).
thf(zip_derived_cl634_1059,plain,
( ( sum @ n22 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_1060,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_1061,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14646,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_cl1093,zip_derived_cl14634]) ).
thf(zip_derived_cl39_1062,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_1063,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_1064,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_1065,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14699,plain,
( ( ( sum @ ( sum @ n10 @ n5 ) @ ( sum @ n3 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14646,zip_derived_cl39,zip_derived_cl13,zip_derived_cl39,zip_derived_cl13]) ).
thf(zip_derived_cl319_1066,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144_1067,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_1068,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18136,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ n22 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14699,zip_derived_cl319,zip_derived_cl144,zip_derived_cl326]) ).
thf(zip_derived_cl19926,plain,
( ( ( sum @ n15 @ n15 )
!= n4 )
<= ( ( sk__1 = n4 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl18136]) ).
thf(zip_derived_cl459_1069,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19928,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n4 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19926,zip_derived_cl459]) ).
thf('124',plain,
( ( sk__1 != n4 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19928]) ).
thf(zip_derived_cl623_1070,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_1071,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_1072,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14657,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl14634]) ).
thf(zip_derived_cl50_1073,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1074,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_1075,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1076,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14710,plain,
( ( ( sum @ ( sum @ n21 @ n5 ) @ ( sum @ n3 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14657,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl155_1077,plain,
( ( sum @ n3 @ n23 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18147,plain,
( ( ( sum @ ( sum @ n21 @ n5 ) @ n0 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14710,zip_derived_cl155]) ).
thf(zip_derived_cl19733,plain,
( ( ( sum @ ( sum @ n21 @ n5 ) @ n0 )
!= ( sum @ n18 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl18147]) ).
thf(zip_derived_cl605_1078,plain,
( ( sum @ n21 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1079,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl530,plain,
( ( sum @ n18 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19749,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n4 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19733,zip_derived_cl605,zip_derived_cl54,zip_derived_cl530]) ).
thf('125',plain,
( ( sk__1 != n4 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19749]) ).
thf(zip_derived_cl621_1080,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_1081,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1099_1082,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_1083,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14652,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_cl1099,zip_derived_cl14634]) ).
thf(zip_derived_cl45_1084,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_1085,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1086,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_1087,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14705,plain,
( ( ( sum @ ( sum @ n16 @ n5 ) @ ( sum @ n3 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14652,zip_derived_cl45,zip_derived_cl19,zip_derived_cl45,zip_derived_cl19]) ).
thf(zip_derived_cl150_1088,plain,
( ( sum @ n3 @ n18 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18142,plain,
( ( ( sum @ ( sum @ n16 @ n5 ) @ n21 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14705,zip_derived_cl150]) ).
thf(zip_derived_cl18428,plain,
( ( ( sum @ ( sum @ n16 @ n5 ) @ n21 )
!= ( sum @ n8 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl18142]) ).
thf(zip_derived_cl475_1089,plain,
( ( sum @ n16 @ n5 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_1090,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18436,plain,
( ( ( sum @ n21 @ n21 )
!= n16 )
<= ( ( sk__1 = n4 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18428,zip_derived_cl475,zip_derived_cl270]) ).
thf(zip_derived_cl19697,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n4 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl18436]) ).
thf('126',plain,
( ( sk__1 != n4 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19697]) ).
thf(zip_derived_cl594_1091,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_1092,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1098_1093,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_1094,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14651,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_cl1098,zip_derived_cl14634]) ).
thf(zip_derived_cl44_1095,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_1096,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1097,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_1098,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14704,plain,
( ( ( sum @ ( sum @ n15 @ n5 ) @ ( sum @ n3 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14651,zip_derived_cl44,zip_derived_cl18,zip_derived_cl44,zip_derived_cl18]) ).
thf(zip_derived_cl449_1099,plain,
( ( sum @ n15 @ n5 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149_1100,plain,
( ( sum @ n3 @ n17 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18141,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ ( sum @ n15 @ n17 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14704,zip_derived_cl449,zip_derived_cl149]) ).
thf(zip_derived_cl18205,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ n6 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl18141]) ).
thf(zip_derived_cl218_1101,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18209,plain,
( ( ( sum @ n20 @ n20 )
!= n14 )
<= ( ( sk__1 = n4 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18205,zip_derived_cl218]) ).
thf(zip_derived_cl19411,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n4 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl18209]) ).
thf('127',plain,
( ( sk__1 != n4 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19411]) ).
thf(zip_derived_cl582_1102,plain,
( ( sum @ n20 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1092_1103,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_1104,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14645,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_cl1092,zip_derived_cl14634]) ).
thf(zip_derived_cl38_1105,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_1106,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_1107,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_1108,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14698,plain,
( ( ( sum @ ( sum @ n9 @ n5 ) @ ( sum @ n3 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14645,zip_derived_cl38,zip_derived_cl12,zip_derived_cl38,zip_derived_cl12]) ).
thf(zip_derived_cl293_1109,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143_1110,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_1111,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_1112,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18135,plain,
( ( n2
!= ( sum @ n20 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14698,zip_derived_cl293,zip_derived_cl143,zip_derived_cl432,zip_derived_cl299]) ).
thf(zip_derived_cl19329,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n4 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl18135]) ).
thf('128',plain,
( ( sk__1 != n4 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19329]) ).
thf(zip_derived_cl567_1113,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1097_1114,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_1115,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14650,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_cl1097,zip_derived_cl14634]) ).
thf(zip_derived_cl43_1116,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_1117,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1118,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_1119,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14703,plain,
( ( ( sum @ ( sum @ n14 @ n5 ) @ ( sum @ n3 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14650,zip_derived_cl43,zip_derived_cl17,zip_derived_cl43,zip_derived_cl17]) ).
thf(zip_derived_cl423_1120,plain,
( ( sum @ n14 @ n5 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148_1121,plain,
( ( sum @ n3 @ n16 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_1122,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18140,plain,
( ( ( sum @ n19 @ n19 )
!= n12 )
<= ( ( sk__1 = n4 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14703,zip_derived_cl423,zip_derived_cl148,zip_derived_cl434,zip_derived_cl166]) ).
thf(zip_derived_cl19131,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n4 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl18140]) ).
thf('129',plain,
( ( sk__1 != n4 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19131]) ).
thf(zip_derived_cl540_1123,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1096_1124,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_1125,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14649,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_cl1096,zip_derived_cl14634]) ).
thf(zip_derived_cl42_1126,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_1127,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_1128,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_1129,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14702,plain,
( ( ( sum @ ( sum @ n13 @ n5 ) @ ( sum @ n3 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14649,zip_derived_cl42,zip_derived_cl16,zip_derived_cl42,zip_derived_cl16]) ).
thf(zip_derived_cl397_1130,plain,
( ( sum @ n13 @ n5 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147_1131,plain,
( ( sum @ n3 @ n15 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_1132,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18139,plain,
( ( ( sum @ n18 @ n18 )
!= n10 )
<= ( ( sk__1 = n4 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14702,zip_derived_cl397,zip_derived_cl147,zip_derived_cl407,zip_derived_cl114]) ).
thf(zip_derived_cl18870,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n4 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl18139]) ).
thf('130',plain,
( ( sk__1 != n4 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18870]) ).
thf(zip_derived_cl530_1133,plain,
( ( sum @ n18 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1091_1134,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_1135,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14644,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_cl1091,zip_derived_cl14634]) ).
thf(zip_derived_cl37_1136,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1137,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1138,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1139,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14697,plain,
( ( ( sum @ ( sum @ n8 @ n5 ) @ ( sum @ n3 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14644,zip_derived_cl37,zip_derived_cl11,zip_derived_cl37,zip_derived_cl11]) ).
thf(zip_derived_cl267_1140,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142_1141,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_1142,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_1143,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18134,plain,
( ( n0
!= ( sum @ n18 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14697,zip_derived_cl267,zip_derived_cl142,zip_derived_cl405,zip_derived_cl272]) ).
thf(zip_derived_cl18803,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n4 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl530,zip_derived_cl18134]) ).
thf('131',plain,
( ( sk__1 != n4 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18803]) ).
thf(zip_derived_cl513_1144,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1095_1145,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_1146,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14648,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_cl1095,zip_derived_cl14634]) ).
thf(zip_derived_cl41_1147,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_1148,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1149,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_1150,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14701,plain,
( ( ( sum @ ( sum @ n12 @ n5 ) @ ( sum @ n3 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14648,zip_derived_cl41,zip_derived_cl15,zip_derived_cl41,zip_derived_cl15]) ).
thf(zip_derived_cl371_1151,plain,
( ( sum @ n12 @ n5 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl146_1152,plain,
( ( sum @ n3 @ n14 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_1153,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1154,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18138,plain,
( ( ( sum @ n17 @ n17 )
!= n8 )
<= ( ( sk__1 = n4 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14701,zip_derived_cl371,zip_derived_cl146,zip_derived_cl380,zip_derived_cl62]) ).
thf(zip_derived_cl18632,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n4 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl18138]) ).
thf('132',plain,
( ( sk__1 != n4 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18632]) ).
thf(zip_derived_cl478_1155,plain,
( ( sum @ n16 @ n8 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1090_1156,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_1157,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14643,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_cl1090,zip_derived_cl14634]) ).
thf(zip_derived_cl36_1158,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_1159,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1160,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_1161,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14696,plain,
( ( ( sum @ ( sum @ n7 @ n5 ) @ ( sum @ n3 @ n9 ) )
!= ( sum @ ( sum @ n7 @ n9 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14643,zip_derived_cl36,zip_derived_cl10,zip_derived_cl36,zip_derived_cl10]) ).
thf(zip_derived_cl241_1162,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141_1163,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_1164,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_1165,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18133,plain,
( ( n24
!= ( sum @ n16 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14696,zip_derived_cl241,zip_derived_cl141,zip_derived_cl378,zip_derived_cl245]) ).
thf(zip_derived_cl18360,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n4 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl18133]) ).
thf('133',plain,
( ( sk__1 != n4 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18360]) ).
thf(zip_derived_cl1089_1166,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_1167,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14642,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_cl1089,zip_derived_cl14634]) ).
thf(zip_derived_cl35_1168,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_1169,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_1170,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_1171,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14695,plain,
( ( ( sum @ ( sum @ n6 @ n5 ) @ ( sum @ n3 @ n8 ) )
!= ( sum @ ( sum @ n6 @ n8 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14642,zip_derived_cl35,zip_derived_cl9,zip_derived_cl35,zip_derived_cl9]) ).
thf(zip_derived_cl215_1172,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140_1173,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_1174,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_1175,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl426_1176,plain,
( ( sum @ n14 @ n8 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18131,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n4 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14695,zip_derived_cl215,zip_derived_cl140,zip_derived_cl351,zip_derived_cl218,zip_derived_cl426]) ).
thf('134',plain,
( ( sk__1 != n4 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18131]) ).
thf(zip_derived_cl1088_1177,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_1178,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14641,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_cl1088,zip_derived_cl14634]) ).
thf(zip_derived_cl34_1179,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_1180,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_1181,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_1182,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14694,plain,
( ( ( sum @ ( sum @ n5 @ n5 ) @ ( sum @ n3 @ n7 ) )
!= ( sum @ ( sum @ n5 @ n7 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14641,zip_derived_cl34,zip_derived_cl8,zip_derived_cl34,zip_derived_cl8]) ).
thf(zip_derived_cl189_1183,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139_1184,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_1185,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_1186,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374_1187,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18129,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n4 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14694,zip_derived_cl189,zip_derived_cl139,zip_derived_cl324,zip_derived_cl191,zip_derived_cl374]) ).
thf('135',plain,
( ( sk__1 != n4 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18129]) ).
thf(zip_derived_cl1087_1188,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_1189,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14640,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_cl1087,zip_derived_cl14634]) ).
thf(zip_derived_cl33_1190,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1191,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1192,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1193,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14693,plain,
( ( ( sum @ ( sum @ n4 @ n5 ) @ ( sum @ n3 @ n6 ) )
!= ( sum @ ( sum @ n4 @ n6 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14640,zip_derived_cl33,zip_derived_cl7,zip_derived_cl33,zip_derived_cl7]) ).
thf(zip_derived_cl163_1194,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138_1195,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_1196,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1197,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_1198,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18127,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n4 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14693,zip_derived_cl163,zip_derived_cl138,zip_derived_cl297,zip_derived_cl164,zip_derived_cl322]) ).
thf('136',plain,
( ( sk__1 != n4 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18127]) ).
thf(zip_derived_cl1085_1199,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_1200,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14638,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_cl1085,zip_derived_cl14634]) ).
thf(zip_derived_cl31_1201,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_1202,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1203,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_1204,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_1205,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14690,plain,
( ( ( sum @ n7 @ n7 )
!= ( sum @ n6 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14638,zip_derived_cl31,zip_derived_cl111,zip_derived_cl5,zip_derived_cl136,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110]) ).
thf(zip_derived_cl243_1206,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_1207,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16731,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n4 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14690,zip_derived_cl243,zip_derived_cl218]) ).
thf('137',plain,
( ( sk_ != n3 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16731]) ).
thf(zip_derived_cl1084_1208,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_1209,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14637,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_cl1084,zip_derived_cl14634]) ).
thf(zip_derived_cl30_1210,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_1211,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_1212,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_1213,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_1214,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_1215,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_1216,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14689,plain,
( ( ( sum @ n6 @ n6 )
!= ( sum @ n4 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14637,zip_derived_cl30,zip_derived_cl85,zip_derived_cl4,zip_derived_cl135,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83]) ).
thf(zip_derived_cl216_1217,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166_1218,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16709,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n4 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14689,zip_derived_cl216,zip_derived_cl166]) ).
thf('138',plain,
( ( sk__1 != n4 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16709]) ).
thf(zip_derived_cl1087_1219,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1220,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20828,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1087,zip_derived_cl20819]) ).
thf(zip_derived_cl33_1221,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl159,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1222,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1223,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1224,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1225,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl314_1226,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20882,plain,
( ( ( sum @ n5 @ ( sum @ n25 @ n6 ) )
!= n10 )
<= ( ( sk__1 = n0 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20828,zip_derived_cl33,zip_derived_cl159,zip_derived_cl7,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164,zip_derived_cl314]) ).
thf(zip_derived_cl710,plain,
( ( sum @ n25 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_1227,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21183,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n0 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20882,zip_derived_cl710,zip_derived_cl189]) ).
thf('139',plain,
( ( sk_ != n5 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21183]) ).
thf(zip_derived_cl729_1228,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1087_1229,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_1230,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19198,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1087,zip_derived_cl19158]) ).
thf(zip_derived_cl33_1231,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl179,plain,
( ( sum @ n4 @ n21 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1232,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl554,plain,
( ( sum @ n19 @ n6 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1233,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1234,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1235,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl328,plain,
( ( sum @ n10 @ n14 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19250,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n20 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19198,zip_derived_cl33,zip_derived_cl179,zip_derived_cl7,zip_derived_cl554,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164,zip_derived_cl328]) ).
thf(zip_derived_cl21136,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n20 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl19250]) ).
thf('140',plain,
( ( sk_ != n5 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21136]) ).
thf(zip_derived_cl1087_1236,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_1237,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20557,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1087,zip_derived_cl20403]) ).
thf(zip_derived_cl33_1238,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158_1239,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1240,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1241,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1242,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1243,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl338_1244,plain,
( ( sum @ n10 @ n24 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20609,plain,
( ( ( sum @ n4 @ ( sum @ n24 @ n6 ) )
!= n8 )
<= ( ( sk__1 = n25 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20557,zip_derived_cl33,zip_derived_cl158,zip_derived_cl7,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164,zip_derived_cl338]) ).
thf(zip_derived_cl684_1245,plain,
( ( sum @ n24 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_1246,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20995,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n25 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20609,zip_derived_cl684,zip_derived_cl162]) ).
thf('141',plain,
( ( sk_ != n5 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20995]) ).
thf(zip_derived_cl702_1247,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1087_1248,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_1249,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18928,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1087,zip_derived_cl18892]) ).
thf(zip_derived_cl33_1250,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178,plain,
( ( sum @ n4 @ n20 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1251,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl528,plain,
( ( sum @ n18 @ n6 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1252,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1253,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1254,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_1255,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18980,plain,
( ( ( sum @ n24 @ n24 )
!= n22 )
<= ( ( sk__1 = n19 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18928,zip_derived_cl33,zip_derived_cl178,zip_derived_cl7,zip_derived_cl528,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164,zip_derived_cl326]) ).
thf(zip_derived_cl20780,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n19 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl18980]) ).
thf('142',plain,
( ( sk_ != n5 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20780]) ).
thf(zip_derived_cl675_1256,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1087_1257,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_1258,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18675,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1087,zip_derived_cl18650]) ).
thf(zip_derived_cl33_1259,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl177,plain,
( ( sum @ n4 @ n19 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1260,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl502,plain,
( ( sum @ n17 @ n6 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1261,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1262,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1263,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_1264,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18727,plain,
( ( ( sum @ n23 @ n23 )
!= n20 )
<= ( ( sk__1 = n18 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18675,zip_derived_cl33,zip_derived_cl177,zip_derived_cl7,zip_derived_cl502,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164,zip_derived_cl324]) ).
thf(zip_derived_cl20295,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n18 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl18727]) ).
thf('143',plain,
( ( sk_ != n5 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20295]) ).
thf(zip_derived_cl648_1265,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1087_1266,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_1267,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18447,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1087,zip_derived_cl18424]) ).
thf(zip_derived_cl33_1268,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176,plain,
( ( sum @ n4 @ n18 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1269,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl476,plain,
( ( sum @ n16 @ n6 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1270,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1271,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1272,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_1273,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18499,plain,
( ( ( sum @ n22 @ n22 )
!= n18 )
<= ( ( sk__1 = n17 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18447,zip_derived_cl33,zip_derived_cl176,zip_derived_cl7,zip_derived_cl476,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164,zip_derived_cl322]) ).
thf(zip_derived_cl19994,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n17 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl18499]) ).
thf('144',plain,
( ( sk_ != n5 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19994]) ).
thf(zip_derived_cl1087_1274,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_1275,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19780,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1087,zip_derived_cl19729]) ).
thf(zip_derived_cl33_1276,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl181,plain,
( ( sum @ n4 @ n23 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1277,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl606,plain,
( ( sum @ n21 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_1278,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1279,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1280,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1281,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332,plain,
( ( sum @ n10 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19833,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n22 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19780,zip_derived_cl33,zip_derived_cl181,zip_derived_cl7,zip_derived_cl606,zip_derived_cl81,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164,zip_derived_cl332]) ).
thf('145',plain,
( ( sk_ != n5 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19833]) ).
thf(zip_derived_cl621_1282,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1087_1283,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_1284,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18216,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1087,zip_derived_cl18201]) ).
thf(zip_derived_cl33_1285,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl175,plain,
( ( sum @ n4 @ n17 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1286,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450,plain,
( ( sum @ n15 @ n6 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1287,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1288,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1289,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18268,plain,
( ( ( sum @ n21 @ n21 )
!= n16 )
<= ( ( sk__1 = n16 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18216,zip_derived_cl33,zip_derived_cl175,zip_derived_cl7,zip_derived_cl450,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164,zip_derived_cl320]) ).
thf(zip_derived_cl19694,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n16 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl18268]) ).
thf('146',plain,
( ( sk_ != n5 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19694]) ).
thf(zip_derived_cl1087_1290,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_1291,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19485,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1087,zip_derived_cl19441]) ).
thf(zip_derived_cl33_1292,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180_1293,plain,
( ( sum @ n4 @ n22 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1294,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl580_1295,plain,
( ( sum @ n20 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1296,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1297,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1298,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1299,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330,plain,
( ( sum @ n10 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19537,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n21 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19485,zip_derived_cl33,zip_derived_cl180,zip_derived_cl7,zip_derived_cl580,zip_derived_cl54,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164,zip_derived_cl330]) ).
thf('147',plain,
( ( sk_ != n5 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19537]) ).
thf(zip_derived_cl594_1300,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1087_1301,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_1302,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl17990,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1087,zip_derived_cl17975]) ).
thf(zip_derived_cl33_1303,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174,plain,
( ( sum @ n4 @ n16 )
= n20 ),
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_cl424,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_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_cl164_1307,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl318,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18042,plain,
( ( ( sum @ n20 @ n20 )
!= n14 )
<= ( ( sk__1 = n15 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17990,zip_derived_cl33,zip_derived_cl174,zip_derived_cl7,zip_derived_cl424,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164,zip_derived_cl318]) ).
thf(zip_derived_cl19410,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n15 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl18042]) ).
thf('148',plain,
( ( sk_ != n5 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19410]) ).
thf(zip_derived_cl567_1308,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1087_1309,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_1310,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17768,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1087,zip_derived_cl17756]) ).
thf(zip_derived_cl33_1311,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl173,plain,
( ( sum @ n4 @ n15 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1312,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl398,plain,
( ( sum @ n13 @ n6 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1313,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1314,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1315,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl316,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17820,plain,
( ( ( sum @ n19 @ n19 )
!= n12 )
<= ( ( sk__1 = n14 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17768,zip_derived_cl33,zip_derived_cl173,zip_derived_cl7,zip_derived_cl398,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164,zip_derived_cl316]) ).
thf(zip_derived_cl19129,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n14 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl17820]) ).
thf('149',plain,
( ( sk_ != n5 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19129]) ).
thf(zip_derived_cl540_1316,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1087_1317,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_1318,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17598,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1087,zip_derived_cl17592]) ).
thf(zip_derived_cl33_1319,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1320,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl372,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1321,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1322,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1323,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl314_1324,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17650,plain,
( ( ( sum @ n18 @ n18 )
!= n10 )
<= ( ( sk__1 = n13 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17598,zip_derived_cl33,zip_derived_cl172,zip_derived_cl7,zip_derived_cl372,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164,zip_derived_cl314]) ).
thf(zip_derived_cl18866,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n13 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl17650]) ).
thf('150',plain,
( ( sk_ != n5 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18866]) ).
thf(zip_derived_cl486_1325,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1087_1326,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_1327,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17189,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1087,zip_derived_cl17181]) ).
thf(zip_derived_cl33_1328,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1329,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_1330,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1331,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1332,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1333,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17241,plain,
( ( ( sum @ n16 @ n16 )
!= ( sum @ n10 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17189,zip_derived_cl33,zip_derived_cl170,zip_derived_cl7,zip_derived_cl320,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164]) ).
thf(zip_derived_cl336_1334,plain,
( ( sum @ n10 @ n22 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17580,plain,
( ( ( sum @ n16 @ n16 )
!= n6 )
<= ( ( sk__1 = n11 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17241,zip_derived_cl336]) ).
thf(zip_derived_cl18405,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n11 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl17580]) ).
thf('151',plain,
( ( sk_ != n5 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18405]) ).
thf(zip_derived_cl459_1335,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1087_1336,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_1337,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16972,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_cl1087,zip_derived_cl16960]) ).
thf(zip_derived_cl33_1338,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl169,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1339,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl294,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1340,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1341,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1342,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17024,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ n10 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16972,zip_derived_cl33,zip_derived_cl169,zip_derived_cl7,zip_derived_cl294,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164]) ).
thf(zip_derived_cl334,plain,
( ( sum @ n10 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17578,plain,
( ( ( sum @ n15 @ n15 )
!= n4 )
<= ( ( sk__1 = n10 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17024,zip_derived_cl334]) ).
thf(zip_derived_cl18185,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n10 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl17578]) ).
thf('152',plain,
( ( sk_ != n5 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18185]) ).
thf(zip_derived_cl432_1343,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1087_1344,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_1345,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16738,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_cl1087,zip_derived_cl16730]) ).
thf(zip_derived_cl33_1346,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1347,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268_1348,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1349,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1350,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1351,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16790,plain,
( ( ( sum @ n14 @ n14 )
!= ( sum @ n10 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16738,zip_derived_cl33,zip_derived_cl168,zip_derived_cl7,zip_derived_cl268,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164]) ).
thf(zip_derived_cl332_1352,plain,
( ( sum @ n10 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17575,plain,
( ( ( sum @ n14 @ n14 )
!= n2 )
<= ( ( sk__1 = n9 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16790,zip_derived_cl332]) ).
thf(zip_derived_cl17962,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n9 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl17575]) ).
thf('153',plain,
( ( sk_ != n5 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17962]) ).
thf(zip_derived_cl1087_1353,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_1354,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13390,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_cl1087,zip_derived_cl13384]) ).
thf(zip_derived_cl33_1355,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1356,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1357,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1358,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13443,plain,
( ( ( sum @ ( sum @ n4 @ n3 ) @ ( sum @ n1 @ n6 ) )
!= ( sum @ ( sum @ n4 @ n6 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13390,zip_derived_cl33,zip_derived_cl7,zip_derived_cl33,zip_derived_cl7]) ).
thf(zip_derived_cl161,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_1359,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1360,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl318_1361,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17889,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n2 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13443,zip_derived_cl161,zip_derived_cl86,zip_derived_cl243,zip_derived_cl164,zip_derived_cl318]) ).
thf('154',plain,
( ( sk_ != n5 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17889]) ).
thf(zip_derived_cl405_1362,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1087_1363,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_1364,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16515,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_cl1087,zip_derived_cl16503]) ).
thf(zip_derived_cl33_1365,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl167,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1366,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1367,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1368,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1369,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16567,plain,
( ( ( sum @ n13 @ n13 )
!= ( sum @ n10 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16515,zip_derived_cl33,zip_derived_cl167,zip_derived_cl7,zip_derived_cl242,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164]) ).
thf(zip_derived_cl330_1370,plain,
( ( sum @ n10 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17571,plain,
( ( ( sum @ n13 @ n13 )
!= n0 )
<= ( ( sk__1 = n8 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16567,zip_derived_cl330]) ).
thf(zip_derived_cl17741,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n8 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl17571]) ).
thf('155',plain,
( ( sk_ != n5 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17741]) ).
thf(zip_derived_cl1087_1371,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_1372,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13167,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_cl1087,zip_derived_cl13161]) ).
thf(zip_derived_cl33_1373,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1374,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1375,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1376,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13220,plain,
( ( ( sum @ ( sum @ n4 @ n2 ) @ ( sum @ n0 @ n6 ) )
!= ( sum @ ( sum @ n4 @ n6 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13167,zip_derived_cl33,zip_derived_cl7,zip_derived_cl33,zip_derived_cl7]) ).
thf(zip_derived_cl160,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_1377,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1378,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl316_1379,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17711,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n1 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13220,zip_derived_cl160,zip_derived_cl60,zip_derived_cl216,zip_derived_cl164,zip_derived_cl316]) ).
thf('156',plain,
( ( sk_ != n5 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17711]) ).
thf(zip_derived_cl378_1380,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1087_1381,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_1382,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16287,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_cl1087,zip_derived_cl16281]) ).
thf(zip_derived_cl33_1383,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166_1384,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1385,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_1386,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1387,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1388,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1389,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16339,plain,
( ( ( sum @ n12 @ n12 )
!= ( sum @ n10 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16287,zip_derived_cl33,zip_derived_cl166,zip_derived_cl7,zip_derived_cl216,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164]) ).
thf(zip_derived_cl328_1390,plain,
( ( sum @ n10 @ n14 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17414,plain,
( ( ( sum @ n12 @ n12 )
!= n24 )
<= ( ( sk__1 = n7 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16339,zip_derived_cl328]) ).
thf(zip_derived_cl17585,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n7 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl17414]) ).
thf('157',plain,
( ( sk_ != n5 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17585]) ).
thf(zip_derived_cl351_1391,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1087_1392,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_1393,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15793,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_cl1087,zip_derived_cl15787]) ).
thf(zip_derived_cl33_1394,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl165,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1395,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl190,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1396,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1397,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1398,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15845,plain,
( ( ( sum @ n11 @ n11 )
!= ( sum @ n10 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15793,zip_derived_cl33,zip_derived_cl165,zip_derived_cl7,zip_derived_cl190,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164]) ).
thf(zip_derived_cl17393,plain,
( ( n22
!= ( sum @ n10 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl15845]) ).
thf(zip_derived_cl326_1399,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17399,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n6 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17393,zip_derived_cl326]) ).
thf('158',plain,
( ( sk_ != n5 )
| ( sk__1 != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17399]) ).
thf(zip_derived_cl1061_1400,plain,
( ( sk__1 = n5 )
<= ( sk__1 = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1087_1401,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl0_1402,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_cl1553,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1087,zip_derived_cl0]) ).
thf(zip_derived_cl7_1403,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1404,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1560,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n6 ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ n6 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl1553,zip_derived_cl7,zip_derived_cl7]) ).
thf(zip_derived_cl2378,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ ( sum @ ( pred @ n5 ) @ n6 ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ n6 ) @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1061,zip_derived_cl1560]) ).
thf(zip_derived_cl7_1405,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1406,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2432,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_cl2378,zip_derived_cl7,zip_derived_cl7]) ).
thf('159',plain,
( ( sk_ != n5 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2432]) ).
thf(zip_derived_cl1106_1407,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1408,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20847,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl20819]) ).
thf(zip_derived_cl52_1409,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl653_1410,plain,
( ( sum @ n23 @ n1 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_1411,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_1412,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_1413,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl677_1414,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl626_1415,plain,
( ( sum @ n22 @ n0 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20901,plain,
( ( ( sum @ n24 @ ( sum @ n25 @ n25 ) )
!= n22 )
<= ( ( sk__1 = n0 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20847,zip_derived_cl52,zip_derived_cl653,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26,zip_derived_cl677,zip_derived_cl626]) ).
thf(zip_derived_cl729_1416,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl702_1417,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21225,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n0 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20901,zip_derived_cl729,zip_derived_cl702]) ).
thf('160',plain,
( ( sk__1 != n0 )
| ( sk_ != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21225]) ).
thf(zip_derived_cl1104_1418,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1419,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20845,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl20819]) ).
thf(zip_derived_cl50_1420,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl601,plain,
( ( sum @ n21 @ n1 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1421,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_1422,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1423,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl623_1424,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl522_1425,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20899,plain,
( ( ( sum @ n22 @ ( sum @ n25 @ n23 ) )
!= n18 )
<= ( ( sk__1 = n0 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20845,zip_derived_cl50,zip_derived_cl601,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24,zip_derived_cl623,zip_derived_cl522]) ).
thf(zip_derived_cl727,plain,
( ( sum @ n25 @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl648_1426,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21221,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n0 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20899,zip_derived_cl727,zip_derived_cl648]) ).
thf('161',plain,
( ( sk__1 != n0 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21221]) ).
thf(zip_derived_cl1103_1427,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1428,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20844,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl20819]) ).
thf(zip_derived_cl49_1429,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl575,plain,
( ( sum @ n20 @ n1 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_1430,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_1431,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_1432,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_1433,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl470_1434,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20898,plain,
( ( ( sum @ n21 @ ( sum @ n25 @ n22 ) )
!= n16 )
<= ( ( sk__1 = n0 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20844,zip_derived_cl49,zip_derived_cl575,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23,zip_derived_cl596,zip_derived_cl470]) ).
thf(zip_derived_cl726,plain,
( ( sum @ n25 @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl621_1435,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21217,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n0 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20898,zip_derived_cl726,zip_derived_cl621]) ).
thf('162',plain,
( ( sk__1 != n0 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21217]) ).
thf(zip_derived_cl1102_1436,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1437,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20843,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1102,zip_derived_cl20819]) ).
thf(zip_derived_cl48_1438,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl549,plain,
( ( sum @ n19 @ n1 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_1439,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1440,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_1441,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_1442,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_1443,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20897,plain,
( ( ( sum @ n20 @ ( sum @ n25 @ n21 ) )
!= n14 )
<= ( ( sk__1 = n0 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20843,zip_derived_cl48,zip_derived_cl549,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22,zip_derived_cl569,zip_derived_cl418]) ).
thf(zip_derived_cl725,plain,
( ( sum @ n25 @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl594_1444,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21215,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n0 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20897,zip_derived_cl725,zip_derived_cl594]) ).
thf('163',plain,
( ( sk__1 != n0 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21215]) ).
thf(zip_derived_cl1101_1445,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1446,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20842,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1101,zip_derived_cl20819]) ).
thf(zip_derived_cl47_1447,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl523,plain,
( ( sum @ n18 @ n1 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_1448,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1449,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_1450,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_1451,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl366_1452,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20896,plain,
( ( ( sum @ n19 @ ( sum @ n25 @ n20 ) )
!= n12 )
<= ( ( sk__1 = n0 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20842,zip_derived_cl47,zip_derived_cl523,zip_derived_cl21,zip_derived_cl47,zip_derived_cl21,zip_derived_cl542,zip_derived_cl366]) ).
thf(zip_derived_cl724,plain,
( ( sum @ n25 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl567_1453,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21213,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n0 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20896,zip_derived_cl724,zip_derived_cl567]) ).
thf('164',plain,
( ( sk__1 != n0 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21213]) ).
thf(zip_derived_cl1100_1454,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1455,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20841,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1100,zip_derived_cl20819]) ).
thf(zip_derived_cl46_1456,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl497,plain,
( ( sum @ n17 @ n1 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1457,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1458,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1459,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_1460,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl314_1461,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20895,plain,
( ( ( sum @ n18 @ ( sum @ n25 @ n19 ) )
!= n10 )
<= ( ( sk__1 = n0 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20841,zip_derived_cl46,zip_derived_cl497,zip_derived_cl20,zip_derived_cl46,zip_derived_cl20,zip_derived_cl515,zip_derived_cl314]) ).
thf(zip_derived_cl723,plain,
( ( sum @ n25 @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl540_1462,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21211,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n0 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20895,zip_derived_cl723,zip_derived_cl540]) ).
thf('165',plain,
( ( sk_ != n18 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21211]) ).
thf(zip_derived_cl1099_1463,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1464,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20840,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1099,zip_derived_cl20819]) ).
thf(zip_derived_cl45_1465,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl471,plain,
( ( sum @ n16 @ n1 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_1466,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1467,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_1468,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_1469,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262_1470,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20894,plain,
( ( ( sum @ n17 @ ( sum @ n25 @ n18 ) )
!= n8 )
<= ( ( sk__1 = n0 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20840,zip_derived_cl45,zip_derived_cl471,zip_derived_cl19,zip_derived_cl45,zip_derived_cl19,zip_derived_cl488,zip_derived_cl262]) ).
thf(zip_derived_cl722,plain,
( ( sum @ n25 @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl513_1471,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21209,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n0 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20894,zip_derived_cl722,zip_derived_cl513]) ).
thf('166',plain,
( ( sk__1 != n0 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21209]) ).
thf(zip_derived_cl1098_1472,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1473,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20839,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl20819]) ).
thf(zip_derived_cl44_1474,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl445,plain,
( ( sum @ n15 @ n1 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_1475,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1476,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_1477,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_1478,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210_1479,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20893,plain,
( ( ( sum @ n16 @ ( sum @ n25 @ n17 ) )
!= n6 )
<= ( ( sk__1 = n0 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20839,zip_derived_cl44,zip_derived_cl445,zip_derived_cl18,zip_derived_cl44,zip_derived_cl18,zip_derived_cl461,zip_derived_cl210]) ).
thf(zip_derived_cl721,plain,
( ( sum @ n25 @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486_1480,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21207,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n0 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20893,zip_derived_cl721,zip_derived_cl486]) ).
thf('167',plain,
( ( sk__1 != n0 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21207]) ).
thf(zip_derived_cl1097_1481,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1482,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20838,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1097,zip_derived_cl20819]) ).
thf(zip_derived_cl43_1483,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl419,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_1484,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1485,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_1486,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_1487,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158_1488,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20892,plain,
( ( ( sum @ n15 @ ( sum @ n25 @ n16 ) )
!= n4 )
<= ( ( sk__1 = n0 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20838,zip_derived_cl43,zip_derived_cl419,zip_derived_cl17,zip_derived_cl43,zip_derived_cl17,zip_derived_cl434,zip_derived_cl158]) ).
thf(zip_derived_cl720,plain,
( ( sum @ n25 @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459_1489,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21205,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n0 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20892,zip_derived_cl720,zip_derived_cl459]) ).
thf('168',plain,
( ( sk__1 != n0 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21205]) ).
thf(zip_derived_cl1096_1490,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1491,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20837,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1096,zip_derived_cl20819]) ).
thf(zip_derived_cl42_1492,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl393,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_1493,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_1494,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_1495,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_1496,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20891,plain,
( ( ( sum @ n14 @ ( sum @ n25 @ n15 ) )
!= n2 )
<= ( ( sk__1 = n0 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20837,zip_derived_cl42,zip_derived_cl393,zip_derived_cl16,zip_derived_cl42,zip_derived_cl16,zip_derived_cl407,zip_derived_cl106]) ).
thf(zip_derived_cl719,plain,
( ( sum @ n25 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_1497,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21203,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n0 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20891,zip_derived_cl719,zip_derived_cl432]) ).
thf('169',plain,
( ( sk__1 != n0 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21203]) ).
thf(zip_derived_cl1095_1498,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1499,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20836,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1095,zip_derived_cl20819]) ).
thf(zip_derived_cl41_1500,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl367,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_1501,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1502,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_1503,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_1504,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1505,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20890,plain,
( ( ( sum @ n13 @ ( sum @ n25 @ n14 ) )
!= n0 )
<= ( ( sk__1 = n0 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20836,zip_derived_cl41,zip_derived_cl367,zip_derived_cl15,zip_derived_cl41,zip_derived_cl15,zip_derived_cl380,zip_derived_cl54]) ).
thf(zip_derived_cl718,plain,
( ( sum @ n25 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_1506,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21201,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n0 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20890,zip_derived_cl718,zip_derived_cl405]) ).
thf('170',plain,
( ( sk__1 != n0 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21201]) ).
thf(zip_derived_cl1094_1507,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1508,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20835,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl20819]) ).
thf(zip_derived_cl40_1509,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl341_1510,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1511,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1512,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1513,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1514,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_1515,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20889,plain,
( ( ( sum @ n12 @ ( sum @ n25 @ n13 ) )
!= n24 )
<= ( ( sk__1 = n0 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20835,zip_derived_cl40,zip_derived_cl341,zip_derived_cl14,zip_derived_cl40,zip_derived_cl14,zip_derived_cl353,zip_derived_cl678]) ).
thf(zip_derived_cl717_1516,plain,
( ( sum @ n25 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_1517,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21199,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n0 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20889,zip_derived_cl717,zip_derived_cl378]) ).
thf('171',plain,
( ( sk__1 != n0 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21199]) ).
thf(zip_derived_cl1093_1518,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1519,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20834,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1093,zip_derived_cl20819]) ).
thf(zip_derived_cl39_1520,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl315,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_1521,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_1522,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_1523,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_1524,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl626_1525,plain,
( ( sum @ n22 @ n0 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20888,plain,
( ( ( sum @ n11 @ ( sum @ n25 @ n12 ) )
!= n22 )
<= ( ( sk__1 = n0 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20834,zip_derived_cl39,zip_derived_cl315,zip_derived_cl13,zip_derived_cl39,zip_derived_cl13,zip_derived_cl326,zip_derived_cl626]) ).
thf(zip_derived_cl716,plain,
( ( sum @ n25 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_1526,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21195,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n0 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20888,zip_derived_cl716,zip_derived_cl351]) ).
thf('172',plain,
( ( sk__1 != n0 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21195]) ).
thf(zip_derived_cl1092_1527,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1528,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20833,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1092,zip_derived_cl20819]) ).
thf(zip_derived_cl38_1529,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl289,plain,
( ( sum @ n9 @ n1 )
= n10 ),
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_cl38_1531,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_1532,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_1533,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl574_1534,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20887,plain,
( ( ( sum @ n10 @ ( sum @ n25 @ n11 ) )
!= n20 )
<= ( ( sk__1 = n0 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20833,zip_derived_cl38,zip_derived_cl289,zip_derived_cl12,zip_derived_cl38,zip_derived_cl12,zip_derived_cl299,zip_derived_cl574]) ).
thf(zip_derived_cl715,plain,
( ( sum @ n25 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_1535,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21193,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n0 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20887,zip_derived_cl715,zip_derived_cl324]) ).
thf('173',plain,
( ( sk__1 != n0 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21193]) ).
thf(zip_derived_cl1091_1536,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1537,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20832,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl20819]) ).
thf(zip_derived_cl37_1538,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl263,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1539,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1540,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1541,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_1542,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl522_1543,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20886,plain,
( ( ( sum @ n9 @ ( sum @ n25 @ n10 ) )
!= n18 )
<= ( ( sk__1 = n0 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20832,zip_derived_cl37,zip_derived_cl263,zip_derived_cl11,zip_derived_cl37,zip_derived_cl11,zip_derived_cl272,zip_derived_cl522]) ).
thf(zip_derived_cl714,plain,
( ( sum @ n25 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_1544,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21191,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n0 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20886,zip_derived_cl714,zip_derived_cl297]) ).
thf('174',plain,
( ( sk__1 != n0 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21191]) ).
thf(zip_derived_cl1090_1545,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1546,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20831,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1090,zip_derived_cl20819]) ).
thf(zip_derived_cl36_1547,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl237,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_1548,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1549,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_1550,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_1551,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl470_1552,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20885,plain,
( ( ( sum @ n8 @ ( sum @ n25 @ n9 ) )
!= n16 )
<= ( ( sk__1 = n0 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20831,zip_derived_cl36,zip_derived_cl237,zip_derived_cl10,zip_derived_cl36,zip_derived_cl10,zip_derived_cl245,zip_derived_cl470]) ).
thf(zip_derived_cl713,plain,
( ( sum @ n25 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_1553,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21189,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n0 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20885,zip_derived_cl713,zip_derived_cl270]) ).
thf('175',plain,
( ( sk__1 != n0 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21189]) ).
thf(zip_derived_cl1089_1554,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1555,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20830,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1089,zip_derived_cl20819]) ).
thf(zip_derived_cl35_1556,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl211,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_1557,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_1558,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_1559,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_1560,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_1561,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20884,plain,
( ( ( sum @ n7 @ ( sum @ n25 @ n8 ) )
!= n14 )
<= ( ( sk__1 = n0 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20830,zip_derived_cl35,zip_derived_cl211,zip_derived_cl9,zip_derived_cl35,zip_derived_cl9,zip_derived_cl218,zip_derived_cl418]) ).
thf(zip_derived_cl712,plain,
( ( sum @ n25 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_1562,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21187,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n0 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20884,zip_derived_cl712,zip_derived_cl243]) ).
thf('176',plain,
( ( sk__1 != n0 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21187]) ).
thf(zip_derived_cl1088_1563,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1564,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20829,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1088,zip_derived_cl20819]) ).
thf(zip_derived_cl34_1565,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl185,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_1566,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_1567,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_1568,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_1569,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl366_1570,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20883,plain,
( ( ( sum @ n6 @ ( sum @ n25 @ n7 ) )
!= n12 )
<= ( ( sk__1 = n0 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20829,zip_derived_cl34,zip_derived_cl185,zip_derived_cl8,zip_derived_cl34,zip_derived_cl8,zip_derived_cl191,zip_derived_cl366]) ).
thf(zip_derived_cl711,plain,
( ( sum @ n25 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_1571,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21185,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n0 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20883,zip_derived_cl711,zip_derived_cl216]) ).
thf('177',plain,
( ( sk__1 != n0 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21185]) ).
thf(zip_derived_cl1085_1572,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1573,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20826,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1085,zip_derived_cl20819]) ).
thf(zip_derived_cl31_1574,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_1575,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1576,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_1577,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_1578,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210_1579,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20880,plain,
( ( ( sum @ n3 @ ( sum @ n25 @ n4 ) )
!= n6 )
<= ( ( sk__1 = n0 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20826,zip_derived_cl31,zip_derived_cl107,zip_derived_cl5,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110,zip_derived_cl210]) ).
thf(zip_derived_cl708,plain,
( ( sum @ n25 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_1580,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21117,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n0 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20880,zip_derived_cl708,zip_derived_cl135]) ).
thf('178',plain,
( ( sk_ != n3 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21117]) ).
thf(zip_derived_cl1084_1581,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_1582,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20825,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1084,zip_derived_cl20819]) ).
thf(zip_derived_cl30_1583,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_1584,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_1585,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_1586,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_1587,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_1588,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158_1589,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20879,plain,
( ( ( sum @ n2 @ ( sum @ n25 @ n3 ) )
!= n4 )
<= ( ( sk__1 = n0 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20825,zip_derived_cl30,zip_derived_cl81,zip_derived_cl4,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl158]) ).
thf(zip_derived_cl707,plain,
( ( sum @ n25 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_1590,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21115,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n0 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20879,zip_derived_cl707,zip_derived_cl108]) ).
thf('179',plain,
( ( sk__1 != n0 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21115]) ).
thf(zip_derived_cl1056_1591,plain,
( ( sk__1 = n0 )
<= ( sk__1 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1082_1592,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl0_1593,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_cl1512,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_cl1082,zip_derived_cl0]) ).
thf(zip_derived_cl2_1594,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_1595,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1514,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_cl1512,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl1937,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_cl1056,zip_derived_cl1514]) ).
thf(zip_derived_cl2_1596,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_1597,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1989,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_cl1937,zip_derived_cl2,zip_derived_cl2]) ).
thf('180',plain,
( ( sk__1 != n0 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1989]) ).
thf(zip_derived_cl729_1598,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_1599,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_1600,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17605,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl17592]) ).
thf(zip_derived_cl40_1601,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_1602,plain,
( ( sum @ n11 @ n14 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1603,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl379_1604,plain,
( ( sum @ n12 @ n13 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1605,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1606,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1607,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17657,plain,
( ( ( sum @ n25 @ n25 )
!= ( sum @ n24 @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17605,zip_derived_cl40,zip_derived_cl354,zip_derived_cl14,zip_derived_cl379,zip_derived_cl40,zip_derived_cl14,zip_derived_cl353]) ).
thf(zip_derived_cl21121,plain,
( ( n24
!= ( sum @ n24 @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl17657]) ).
thf(zip_derived_cl678_1608,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21146,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n13 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21121,zip_derived_cl678]) ).
thf('181',plain,
( ( sk_ != n12 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21146]) ).
thf(zip_derived_cl700_1609,plain,
( ( sum @ n24 @ n22 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_1610,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_1611,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17196,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl17181]) ).
thf(zip_derived_cl40_1612,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1613,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1614,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1615,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17249,plain,
( ( ( sum @ ( sum @ n11 @ n12 ) @ ( sum @ n10 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17196,zip_derived_cl40,zip_derived_cl14,zip_derived_cl40,zip_derived_cl14]) ).
thf(zip_derived_cl352_1616,plain,
( ( sum @ n11 @ n12 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl327_1617,plain,
( ( sum @ n10 @ n13 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1618,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19064,plain,
( ( ( sum @ n23 @ n23 )
!= ( sum @ n24 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17249,zip_derived_cl352,zip_derived_cl327,zip_derived_cl353]) ).
thf(zip_derived_cl20759,plain,
( ( ( sum @ n23 @ n23 )
!= n20 )
<= ( ( sk__1 = n11 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl700,zip_derived_cl19064]) ).
thf(zip_derived_cl675_1619,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20761,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n11 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20759,zip_derived_cl675]) ).
thf('182',plain,
( ( sk_ != n12 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20761]) ).
thf(zip_derived_cl698_1620,plain,
( ( sum @ n24 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_1621,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_1622,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16979,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_cl1094,zip_derived_cl16960]) ).
thf(zip_derived_cl40_1623,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1624,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1625,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1626,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17032,plain,
( ( ( sum @ ( sum @ n11 @ n11 ) @ ( sum @ n9 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16979,zip_derived_cl40,zip_derived_cl14,zip_derived_cl40,zip_derived_cl14]) ).
thf(zip_derived_cl351_1627,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl301_1628,plain,
( ( sum @ n9 @ n13 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1629,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18844,plain,
( ( ( sum @ n22 @ n22 )
!= ( sum @ n24 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17032,zip_derived_cl351,zip_derived_cl301,zip_derived_cl353]) ).
thf(zip_derived_cl20748,plain,
( ( ( sum @ n22 @ n22 )
!= n18 )
<= ( ( sk__1 = n10 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl698,zip_derived_cl18844]) ).
thf(zip_derived_cl648_1630,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20751,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n10 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20748,zip_derived_cl648]) ).
thf('183',plain,
( ( sk_ != n12 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20751]) ).
thf(zip_derived_cl696_1631,plain,
( ( sum @ n24 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_1632,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_1633,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19787,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl19729]) ).
thf(zip_derived_cl40_1634,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl363_1635,plain,
( ( sum @ n11 @ n23 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1636,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl613_1637,plain,
( ( sum @ n21 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_1638,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1639,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1640,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1641,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19846,plain,
( ( n16
!= ( sum @ n24 @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19787,zip_derived_cl40,zip_derived_cl363,zip_derived_cl14,zip_derived_cl613,zip_derived_cl270,zip_derived_cl40,zip_derived_cl14,zip_derived_cl353]) ).
thf(zip_derived_cl20739,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n22 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl19846]) ).
thf('184',plain,
( ( sk_ != n12 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20739]) ).
thf(zip_derived_cl696_1642,plain,
( ( sum @ n24 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_1643,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_1644,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16745,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_cl1094,zip_derived_cl16730]) ).
thf(zip_derived_cl40_1645,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1646,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1647,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1648,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16798,plain,
( ( ( sum @ ( sum @ n11 @ n10 ) @ ( sum @ n8 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16745,zip_derived_cl40,zip_derived_cl14,zip_derived_cl40,zip_derived_cl14]) ).
thf(zip_derived_cl350_1649,plain,
( ( sum @ n11 @ n10 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl275_1650,plain,
( ( sum @ n8 @ n13 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1651,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18800,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ n24 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16798,zip_derived_cl350,zip_derived_cl275,zip_derived_cl353]) ).
thf(zip_derived_cl20738,plain,
( ( ( sum @ n21 @ n21 )
!= n16 )
<= ( ( sk__1 = n9 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl18800]) ).
thf(zip_derived_cl621_1652,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20742,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n9 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20738,zip_derived_cl621]) ).
thf('185',plain,
( ( sk_ != n12 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20742]) ).
thf(zip_derived_cl694_1653,plain,
( ( sum @ n24 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_1654,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_1655,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19492,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl19441]) ).
thf(zip_derived_cl40_1656,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl362_1657,plain,
( ( sum @ n11 @ n22 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1658,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl587_1659,plain,
( ( sum @ n20 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_1660,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1661,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1662,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1663,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19550,plain,
( ( n14
!= ( sum @ n24 @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19492,zip_derived_cl40,zip_derived_cl362,zip_derived_cl14,zip_derived_cl587,zip_derived_cl243,zip_derived_cl40,zip_derived_cl14,zip_derived_cl353]) ).
thf(zip_derived_cl20728,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n21 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl694,zip_derived_cl19550]) ).
thf('186',plain,
( ( sk_ != n12 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20728]) ).
thf(zip_derived_cl694_1664,plain,
( ( sum @ n24 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_1665,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_1666,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16522,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_cl1094,zip_derived_cl16503]) ).
thf(zip_derived_cl40_1667,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1668,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1669,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1670,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16575,plain,
( ( ( sum @ ( sum @ n11 @ n9 ) @ ( sum @ n7 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16522,zip_derived_cl40,zip_derived_cl14,zip_derived_cl40,zip_derived_cl14]) ).
thf(zip_derived_cl349_1671,plain,
( ( sum @ n11 @ n9 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl249_1672,plain,
( ( sum @ n7 @ n13 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1673,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18599,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ n24 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16575,zip_derived_cl349,zip_derived_cl249,zip_derived_cl353]) ).
thf(zip_derived_cl20727,plain,
( ( ( sum @ n20 @ n20 )
!= n14 )
<= ( ( sk__1 = n8 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl694,zip_derived_cl18599]) ).
thf(zip_derived_cl594_1674,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20731,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n8 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20727,zip_derived_cl594]) ).
thf('187',plain,
( ( sk_ != n12 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20731]) ).
thf(zip_derived_cl692_1675,plain,
( ( sum @ n24 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_1676,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_1677,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19205,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl19158]) ).
thf(zip_derived_cl40_1678,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl361_1679,plain,
( ( sum @ n11 @ n21 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1680,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl561_1681,plain,
( ( sum @ n19 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_1682,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1683,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1684,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1685,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19261,plain,
( ( n12
!= ( sum @ n24 @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19205,zip_derived_cl40,zip_derived_cl361,zip_derived_cl14,zip_derived_cl561,zip_derived_cl216,zip_derived_cl40,zip_derived_cl14,zip_derived_cl353]) ).
thf(zip_derived_cl20717,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n20 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl692,zip_derived_cl19261]) ).
thf('188',plain,
( ( sk_ != n12 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20717]) ).
thf(zip_derived_cl692_1686,plain,
( ( sum @ n24 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_1687,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_1688,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16294,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_cl1094,zip_derived_cl16281]) ).
thf(zip_derived_cl40_1689,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1690,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1691,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1692,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16347,plain,
( ( ( sum @ ( sum @ n11 @ n8 ) @ ( sum @ n6 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16294,zip_derived_cl40,zip_derived_cl14,zip_derived_cl40,zip_derived_cl14]) ).
thf(zip_derived_cl348_1693,plain,
( ( sum @ n11 @ n8 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl223_1694,plain,
( ( sum @ n6 @ n13 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1695,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18566,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ n24 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16347,zip_derived_cl348,zip_derived_cl223,zip_derived_cl353]) ).
thf(zip_derived_cl20716,plain,
( ( ( sum @ n19 @ n19 )
!= n12 )
<= ( ( sk__1 = n7 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl692,zip_derived_cl18566]) ).
thf(zip_derived_cl567_1696,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20720,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n7 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20716,zip_derived_cl567]) ).
thf('189',plain,
( ( sk_ != n12 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20720]) ).
thf(zip_derived_cl690_1697,plain,
( ( sum @ n24 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_1698,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_1699,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18935,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl18892]) ).
thf(zip_derived_cl40_1700,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl360_1701,plain,
( ( sum @ n11 @ n20 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1702,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl535_1703,plain,
( ( sum @ n18 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_1704,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1705,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1706,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1707,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18990,plain,
( ( n10
!= ( sum @ n24 @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18935,zip_derived_cl40,zip_derived_cl360,zip_derived_cl14,zip_derived_cl535,zip_derived_cl189,zip_derived_cl40,zip_derived_cl14,zip_derived_cl353]) ).
thf(zip_derived_cl20708,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n19 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl690,zip_derived_cl18990]) ).
thf('190',plain,
( ( sk_ != n12 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20708]) ).
thf(zip_derived_cl690_1708,plain,
( ( sum @ n24 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_1709,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_1710,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15800,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_cl1094,zip_derived_cl15787]) ).
thf(zip_derived_cl40_1711,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1712,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1713,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1714,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15853,plain,
( ( ( sum @ ( sum @ n11 @ n7 ) @ ( sum @ n5 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15800,zip_derived_cl40,zip_derived_cl14,zip_derived_cl40,zip_derived_cl14]) ).
thf(zip_derived_cl347_1715,plain,
( ( sum @ n11 @ n7 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl197_1716,plain,
( ( sum @ n5 @ n13 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1717,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18370,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ n24 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15853,zip_derived_cl347,zip_derived_cl197,zip_derived_cl353]) ).
thf(zip_derived_cl20707,plain,
( ( ( sum @ n18 @ n18 )
!= n10 )
<= ( ( sk__1 = n6 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl690,zip_derived_cl18370]) ).
thf(zip_derived_cl540_1718,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20710,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n6 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20707,zip_derived_cl540]) ).
thf('191',plain,
( ( sk_ != n12 )
| ( sk__1 != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20710]) ).
thf(zip_derived_cl688_1719,plain,
( ( sum @ n24 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_1720,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_1721,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18682,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl18650]) ).
thf(zip_derived_cl40_1722,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl359_1723,plain,
( ( sum @ n11 @ n19 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1724,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl509_1725,plain,
( ( sum @ n17 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_1726,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1727,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1728,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1729,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18735,plain,
( ( n8
!= ( sum @ n24 @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18682,zip_derived_cl40,zip_derived_cl359,zip_derived_cl14,zip_derived_cl509,zip_derived_cl162,zip_derived_cl40,zip_derived_cl14,zip_derived_cl353]) ).
thf(zip_derived_cl20699,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n18 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl688,zip_derived_cl18735]) ).
thf('192',plain,
( ( sk_ != n12 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20699]) ).
thf(zip_derived_cl688_1730,plain,
( ( sum @ n24 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_1731,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_1732,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15191,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_cl1094,zip_derived_cl15178]) ).
thf(zip_derived_cl40_1733,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1734,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1735,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1736,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15244,plain,
( ( ( sum @ ( sum @ n11 @ n6 ) @ ( sum @ n4 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15191,zip_derived_cl40,zip_derived_cl14,zip_derived_cl40,zip_derived_cl14]) ).
thf(zip_derived_cl346_1737,plain,
( ( sum @ n11 @ n6 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl171_1738,plain,
( ( sum @ n4 @ n13 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1739,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18210,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ n24 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15244,zip_derived_cl346,zip_derived_cl171,zip_derived_cl353]) ).
thf(zip_derived_cl20698,plain,
( ( ( sum @ n17 @ n17 )
!= n8 )
<= ( ( sk__1 = n5 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl688,zip_derived_cl18210]) ).
thf(zip_derived_cl513_1740,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20701,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n5 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20698,zip_derived_cl513]) ).
thf('193',plain,
( ( sk_ != n12 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20701]) ).
thf(zip_derived_cl686_1741,plain,
( ( sum @ n24 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_1742,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_1743,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18454,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl18424]) ).
thf(zip_derived_cl40_1744,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl358_1745,plain,
( ( sum @ n11 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1746,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl483_1747,plain,
( ( sum @ n16 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_1748,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1749,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1750,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1751,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18506,plain,
( ( n6
!= ( sum @ n24 @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18454,zip_derived_cl40,zip_derived_cl358,zip_derived_cl14,zip_derived_cl483,zip_derived_cl135,zip_derived_cl40,zip_derived_cl14,zip_derived_cl353]) ).
thf(zip_derived_cl20690,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n17 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl686,zip_derived_cl18506]) ).
thf('194',plain,
( ( sk_ != n12 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20690]) ).
thf(zip_derived_cl684_1752,plain,
( ( sum @ n24 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_1753,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_1754,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18223,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl18201]) ).
thf(zip_derived_cl40_1755,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl357_1756,plain,
( ( sum @ n11 @ n17 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1757,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl457_1758,plain,
( ( sum @ n15 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_1759,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1760,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1761,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1762,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18275,plain,
( ( n4
!= ( sum @ n24 @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18223,zip_derived_cl40,zip_derived_cl357,zip_derived_cl14,zip_derived_cl457,zip_derived_cl108,zip_derived_cl40,zip_derived_cl14,zip_derived_cl353]) ).
thf(zip_derived_cl20681,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n16 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl18275]) ).
thf('195',plain,
( ( sk_ != n12 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20681]) ).
thf(zip_derived_cl682_1763,plain,
( ( sum @ n24 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_1764,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_1765,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl17997,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl17975]) ).
thf(zip_derived_cl40_1766,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl356_1767,plain,
( ( sum @ n11 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1768,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl431_1769,plain,
( ( sum @ n14 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_1770,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1771,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1772,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1773,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18049,plain,
( ( n2
!= ( sum @ n24 @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17997,zip_derived_cl40,zip_derived_cl356,zip_derived_cl14,zip_derived_cl431,zip_derived_cl81,zip_derived_cl40,zip_derived_cl14,zip_derived_cl353]) ).
thf(zip_derived_cl20672,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n15 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl18049]) ).
thf('196',plain,
( ( sk_ != n12 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20672]) ).
thf(zip_derived_cl682_1774,plain,
( ( sum @ n24 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_1775,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_1776,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13397,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_cl1094,zip_derived_cl13384]) ).
thf(zip_derived_cl40_1777,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1778,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1779,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1780,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13450,plain,
( ( ( sum @ ( sum @ n11 @ n3 ) @ ( sum @ n1 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13397,zip_derived_cl40,zip_derived_cl14,zip_derived_cl40,zip_derived_cl14]) ).
thf(zip_derived_cl343_1781,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_1782,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1783,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17900,plain,
( ( ( sum @ n14 @ n14 )
!= ( sum @ n24 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13450,zip_derived_cl343,zip_derived_cl93,zip_derived_cl353]) ).
thf(zip_derived_cl20671,plain,
( ( ( sum @ n14 @ n14 )
!= n2 )
<= ( ( sk__1 = n2 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl17900]) ).
thf(zip_derived_cl432_1784,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20674,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n2 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20671,zip_derived_cl432]) ).
thf('197',plain,
( ( sk_ != n12 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20674]) ).
thf(zip_derived_cl680_1785,plain,
( ( sum @ n24 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_1786,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_1787,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17775,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl17756]) ).
thf(zip_derived_cl40_1788,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl355_1789,plain,
( ( sum @ n11 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1790,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_1791,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1792,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1793,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1794,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1795,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17827,plain,
( ( n0
!= ( sum @ n24 @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17775,zip_derived_cl40,zip_derived_cl355,zip_derived_cl14,zip_derived_cl405,zip_derived_cl54,zip_derived_cl40,zip_derived_cl14,zip_derived_cl353]) ).
thf(zip_derived_cl20660,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n14 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl680,zip_derived_cl17827]) ).
thf('198',plain,
( ( sk_ != n12 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20660]) ).
thf(zip_derived_cl680_1796,plain,
( ( sum @ n24 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_1797,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_1798,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13174,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_cl1094,zip_derived_cl13161]) ).
thf(zip_derived_cl40_1799,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1800,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1801,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1802,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13227,plain,
( ( ( sum @ ( sum @ n11 @ n2 ) @ ( sum @ n0 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13174,zip_derived_cl40,zip_derived_cl14,zip_derived_cl40,zip_derived_cl14]) ).
thf(zip_derived_cl342,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1803,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17720,plain,
( ( ( sum @ n13 @ n13 )
!= ( sum @ n24 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13227,zip_derived_cl342,zip_derived_cl67,zip_derived_cl353]) ).
thf(zip_derived_cl20659,plain,
( ( ( sum @ n13 @ n13 )
!= n0 )
<= ( ( sk__1 = n1 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl680,zip_derived_cl17720]) ).
thf(zip_derived_cl405_1804,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20664,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n1 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20659,zip_derived_cl405]) ).
thf('199',plain,
( ( sk_ != n12 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20664]) ).
thf(zip_derived_cl1094_1805,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_1806,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20564,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl20403]) ).
thf(zip_derived_cl40_1807,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl340_1808,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1809,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1810,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1811,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1812,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20616,plain,
( ( ( sum @ n11 @ ( sum @ n24 @ n13 ) )
!= ( sum @ n24 @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20564,zip_derived_cl40,zip_derived_cl340,zip_derived_cl14,zip_derived_cl40,zip_derived_cl14,zip_derived_cl353]) ).
thf(zip_derived_cl691_1813,plain,
( ( sum @ n24 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_1814,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl702_1815,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21281,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n25 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20616,zip_derived_cl691,zip_derived_cl351,zip_derived_cl702]) ).
thf('200',plain,
( ( sk_ != n12 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21281]) ).
thf(zip_derived_cl729_1816,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_1817,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1101_1818,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_1819,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15807,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_cl1101,zip_derived_cl15787]) ).
thf(zip_derived_cl47_1820,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_1821,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1822,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_1823,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15860,plain,
( ( ( sum @ ( sum @ n18 @ n7 ) @ ( sum @ n5 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15807,zip_derived_cl47,zip_derived_cl21,zip_derived_cl47,zip_derived_cl21]) ).
thf(zip_derived_cl204,plain,
( ( sum @ n5 @ n20 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18379,plain,
( ( ( sum @ ( sum @ n18 @ n7 ) @ n25 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15860,zip_derived_cl204]) ).
thf(zip_derived_cl18898,plain,
( ( ( sum @ ( sum @ n18 @ n7 ) @ n25 )
!= ( sum @ n12 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl18379]) ).
thf(zip_derived_cl529,plain,
( ( sum @ n18 @ n7 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_1824,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18910,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n6 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18898,zip_derived_cl529,zip_derived_cl378]) ).
thf(zip_derived_cl21132,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n6 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl18910]) ).
thf('201',plain,
( ( sk__1 != n6 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21132]) ).
thf(zip_derived_cl711_1825,plain,
( ( sum @ n25 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_1826,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_1827,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15788,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_cl1082,zip_derived_cl15787]) ).
thf(zip_derived_cl28_1828,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_1829,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl185_1830,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_1831,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_1832,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15840,plain,
( ( ( sum @ ( sum @ n25 @ n7 ) @ n6 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15788,zip_derived_cl28,zip_derived_cl2,zip_derived_cl185,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl20945,plain,
( ( ( sum @ n6 @ n6 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl15840]) ).
thf(zip_derived_cl216_1833,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_1834,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20946,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n6 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20945,zip_derived_cl216,zip_derived_cl705,zip_derived_cl66]) ).
thf('202',plain,
( ( sk__1 != n6 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20946]) ).
thf(zip_derived_cl702_1835,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_1836,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1100_1837,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_1838,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15806,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_cl1100,zip_derived_cl15787]) ).
thf(zip_derived_cl46_1839,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1840,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1841,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1842,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15859,plain,
( ( ( sum @ ( sum @ n17 @ n7 ) @ ( sum @ n5 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15806,zip_derived_cl46,zip_derived_cl20,zip_derived_cl46,zip_derived_cl20]) ).
thf(zip_derived_cl203,plain,
( ( sum @ n5 @ n19 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18378,plain,
( ( ( sum @ ( sum @ n17 @ n7 ) @ n24 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15859,zip_derived_cl203]) ).
thf(zip_derived_cl18656,plain,
( ( ( sum @ ( sum @ n17 @ n7 ) @ n24 )
!= ( sum @ n10 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl18378]) ).
thf(zip_derived_cl503,plain,
( ( sum @ n17 @ n7 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_1843,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18665,plain,
( ( ( sum @ n24 @ n24 )
!= n22 )
<= ( ( sk__1 = n6 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18656,zip_derived_cl503,zip_derived_cl326]) ).
thf(zip_derived_cl20775,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n6 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl18665]) ).
thf('203',plain,
( ( sk_ != n18 )
| ( sk__1 != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20775]) ).
thf(zip_derived_cl677_1844,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_1845,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15812,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl15787]) ).
thf(zip_derived_cl52_1847,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_1848,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_1849,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_1850,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15865,plain,
( ( ( sum @ ( sum @ n23 @ n7 ) @ ( sum @ n5 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15812,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl209_1851,plain,
( ( sum @ n5 @ n25 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18386,plain,
( ( ( sum @ ( sum @ n23 @ n7 ) @ n4 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15865,zip_derived_cl209]) ).
thf(zip_derived_cl20337,plain,
( ( ( sum @ ( sum @ n23 @ n7 ) @ n4 )
!= ( sum @ n22 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl18386]) ).
thf(zip_derived_cl659_1852,plain,
( ( sum @ n23 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_1853,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl638_1854,plain,
( ( sum @ n22 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20365,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n6 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20337,zip_derived_cl659,zip_derived_cl162,zip_derived_cl638]) ).
thf('204',plain,
( ( sk__1 != n6 )
| ( sk_ != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20365]) ).
thf(zip_derived_cl675_1855,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_1856,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1099_1857,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_1858,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15805,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_cl1099,zip_derived_cl15787]) ).
thf(zip_derived_cl45_1859,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_1860,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1861,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_1862,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15858,plain,
( ( ( sum @ ( sum @ n16 @ n7 ) @ ( sum @ n5 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15805,zip_derived_cl45,zip_derived_cl19,zip_derived_cl45,zip_derived_cl19]) ).
thf(zip_derived_cl477,plain,
( ( sum @ n16 @ n7 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl202,plain,
( ( sum @ n5 @ n18 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18377,plain,
( ( ( sum @ n23 @ n23 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15858,zip_derived_cl477,zip_derived_cl202]) ).
thf(zip_derived_cl18432,plain,
( ( ( sum @ n23 @ n23 )
!= ( sum @ n8 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl18377]) ).
thf(zip_derived_cl274_1863,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18441,plain,
( ( ( sum @ n23 @ n23 )
!= n20 )
<= ( ( sk__1 = n6 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18432,zip_derived_cl274]) ).
thf(zip_derived_cl20290,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n6 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl18441]) ).
thf('205',plain,
( ( sk__1 != n6 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20290]) ).
thf(zip_derived_cl648_1864,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1098_1865,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_1866,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15804,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_cl1098,zip_derived_cl15787]) ).
thf(zip_derived_cl44_1867,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_1868,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1869,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_1870,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15857,plain,
( ( ( sum @ ( sum @ n15 @ n7 ) @ ( sum @ n5 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15804,zip_derived_cl44,zip_derived_cl18,zip_derived_cl44,zip_derived_cl18]) ).
thf(zip_derived_cl451,plain,
( ( sum @ n15 @ n7 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl201,plain,
( ( sum @ n5 @ n17 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_1871,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18376,plain,
( ( ( sum @ n22 @ n22 )
!= n18 )
<= ( ( sk__1 = n6 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15857,zip_derived_cl451,zip_derived_cl201,zip_derived_cl461,zip_derived_cl222]) ).
thf(zip_derived_cl19992,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n6 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl18376]) ).
thf('206',plain,
( ( sk__1 != n6 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19992]) ).
thf(zip_derived_cl638_1872,plain,
( ( sum @ n22 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_1873,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15799,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_cl1093,zip_derived_cl15787]) ).
thf(zip_derived_cl39_1875,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_1876,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_1877,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_1878,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15852,plain,
( ( ( sum @ ( sum @ n10 @ n7 ) @ ( sum @ n5 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15799,zip_derived_cl39,zip_derived_cl13,zip_derived_cl39,zip_derived_cl13]) ).
thf(zip_derived_cl321,plain,
( ( sum @ n10 @ n7 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl196,plain,
( ( sum @ n5 @ n12 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_1879,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18369,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ n22 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15852,zip_derived_cl321,zip_derived_cl196,zip_derived_cl326]) ).
thf(zip_derived_cl19936,plain,
( ( ( sum @ n17 @ n17 )
!= n8 )
<= ( ( sk__1 = n6 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl638,zip_derived_cl18369]) ).
thf(zip_derived_cl513_1880,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19938,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n6 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19936,zip_derived_cl513]) ).
thf('207',plain,
( ( sk__1 != n6 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19938]) ).
thf(zip_derived_cl623_1881,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_1882,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_1883,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15810,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl15787]) ).
thf(zip_derived_cl50_1884,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1885,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_1886,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1887,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15863,plain,
( ( ( sum @ ( sum @ n21 @ n7 ) @ ( sum @ n5 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15810,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl207,plain,
( ( sum @ n5 @ n23 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18384,plain,
( ( ( sum @ ( sum @ n21 @ n7 ) @ n2 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15863,zip_derived_cl207]) ).
thf(zip_derived_cl19735,plain,
( ( ( sum @ ( sum @ n21 @ n7 ) @ n2 )
!= ( sum @ n18 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl18384]) ).
thf(zip_derived_cl607,plain,
( ( sum @ n21 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_1888,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl534,plain,
( ( sum @ n18 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19753,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n6 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19735,zip_derived_cl607,zip_derived_cl108,zip_derived_cl534]) ).
thf('208',plain,
( ( sk__1 != n6 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19753]) ).
thf(zip_derived_cl621_1889,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1097_1890,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_1891,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15803,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_cl1097,zip_derived_cl15787]) ).
thf(zip_derived_cl43_1892,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_1893,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1894,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_1895,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15856,plain,
( ( ( sum @ ( sum @ n14 @ n7 ) @ ( sum @ n5 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15803,zip_derived_cl43,zip_derived_cl17,zip_derived_cl43,zip_derived_cl17]) ).
thf(zip_derived_cl425,plain,
( ( sum @ n14 @ n7 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200,plain,
( ( sum @ n5 @ n16 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_1896,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170_1897,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18375,plain,
( ( ( sum @ n21 @ n21 )
!= n16 )
<= ( ( sk__1 = n6 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15856,zip_derived_cl425,zip_derived_cl200,zip_derived_cl434,zip_derived_cl170]) ).
thf(zip_derived_cl19696,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n6 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl18375]) ).
thf('209',plain,
( ( sk__1 != n6 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19696]) ).
thf(zip_derived_cl596_1898,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_1899,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_1900,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15809,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl15787]) ).
thf(zip_derived_cl49_1901,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_1902,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_1903,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_1904,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15862,plain,
( ( ( sum @ ( sum @ n20 @ n7 ) @ ( sum @ n5 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15809,zip_derived_cl49,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23]) ).
thf(zip_derived_cl206,plain,
( ( sum @ n5 @ n22 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18383,plain,
( ( ( sum @ ( sum @ n20 @ n7 ) @ n1 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15862,zip_derived_cl206]) ).
thf(zip_derived_cl19447,plain,
( ( ( sum @ ( sum @ n20 @ n7 ) @ n1 )
!= ( sum @ n16 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl18383]) ).
thf(zip_derived_cl581,plain,
( ( sum @ n20 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_1905,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482,plain,
( ( sum @ n16 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19462,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n6 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19447,zip_derived_cl581,zip_derived_cl81,zip_derived_cl482]) ).
thf('210',plain,
( ( sk__1 != n6 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19462]) ).
thf(zip_derived_cl594_1906,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1096_1907,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_1908,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15802,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_cl1096,zip_derived_cl15787]) ).
thf(zip_derived_cl42_1909,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_1910,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_1911,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_1912,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15855,plain,
( ( ( sum @ ( sum @ n13 @ n7 ) @ ( sum @ n5 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15802,zip_derived_cl42,zip_derived_cl16,zip_derived_cl42,zip_derived_cl16]) ).
thf(zip_derived_cl399,plain,
( ( sum @ n13 @ n7 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl199,plain,
( ( sum @ n5 @ n15 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_1913,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18374,plain,
( ( ( sum @ n20 @ n20 )
!= n14 )
<= ( ( sk__1 = n6 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15855,zip_derived_cl399,zip_derived_cl199,zip_derived_cl407,zip_derived_cl118]) ).
thf(zip_derived_cl19414,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n6 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl18374]) ).
thf('211',plain,
( ( sk__1 != n6 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19414]) ).
thf(zip_derived_cl586_1914,plain,
( ( sum @ n20 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1092_1915,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_1916,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15798,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_cl1092,zip_derived_cl15787]) ).
thf(zip_derived_cl38_1917,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_1918,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_1919,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_1920,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15851,plain,
( ( ( sum @ ( sum @ n9 @ n7 ) @ ( sum @ n5 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15798,zip_derived_cl38,zip_derived_cl12,zip_derived_cl38,zip_derived_cl12]) ).
thf(zip_derived_cl295,plain,
( ( sum @ n9 @ n7 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl195,plain,
( ( sum @ n5 @ n11 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_1921,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18368,plain,
( ( ( sum @ n16 @ n16 )
!= ( sum @ n20 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15851,zip_derived_cl295,zip_derived_cl195,zip_derived_cl299]) ).
thf(zip_derived_cl19342,plain,
( ( ( sum @ n16 @ n16 )
!= n6 )
<= ( ( sk__1 = n6 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl18368]) ).
thf(zip_derived_cl486_1922,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19344,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n6 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19342,zip_derived_cl486]) ).
thf('212',plain,
( ( sk__1 != n6 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19344]) ).
thf(zip_derived_cl569_1923,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102_1924,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_1925,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15808,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_cl1102,zip_derived_cl15787]) ).
thf(zip_derived_cl48_1926,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_1927,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1928,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_1929,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15861,plain,
( ( ( sum @ ( sum @ n19 @ n7 ) @ ( sum @ n5 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15808,zip_derived_cl48,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22]) ).
thf(zip_derived_cl205,plain,
( ( sum @ n5 @ n21 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18380,plain,
( ( ( sum @ ( sum @ n19 @ n7 ) @ n0 )
!= ( sum @ ( sum @ n19 @ n21 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15861,zip_derived_cl205]) ).
thf(zip_derived_cl19164,plain,
( ( ( sum @ ( sum @ n19 @ n7 ) @ n0 )
!= ( sum @ n14 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl18380]) ).
thf(zip_derived_cl555,plain,
( ( sum @ n19 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1930,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl430,plain,
( ( sum @ n14 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19177,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n6 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19164,zip_derived_cl555,zip_derived_cl54,zip_derived_cl430]) ).
thf('213',plain,
( ( sk__1 != n6 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19177]) ).
thf(zip_derived_cl567_1931,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1095_1932,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_1933,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15801,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_cl1095,zip_derived_cl15787]) ).
thf(zip_derived_cl41_1934,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_1935,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1936,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_1937,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15854,plain,
( ( ( sum @ ( sum @ n12 @ n7 ) @ ( sum @ n5 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15801,zip_derived_cl41,zip_derived_cl15,zip_derived_cl41,zip_derived_cl15]) ).
thf(zip_derived_cl373,plain,
( ( sum @ n12 @ n7 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198,plain,
( ( sum @ n5 @ n14 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_1938,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1939,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18373,plain,
( ( ( sum @ n19 @ n19 )
!= n12 )
<= ( ( sk__1 = n6 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15854,zip_derived_cl373,zip_derived_cl198,zip_derived_cl380,zip_derived_cl66]) ).
thf(zip_derived_cl19135,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n6 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl18373]) ).
thf('214',plain,
( ( sk__1 != n6 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19135]) ).
thf(zip_derived_cl534_1940,plain,
( ( sum @ n18 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1091_1941,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_1942,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15797,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_cl1091,zip_derived_cl15787]) ).
thf(zip_derived_cl37_1943,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1944,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1945,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1946,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15850,plain,
( ( ( sum @ ( sum @ n8 @ n7 ) @ ( sum @ n5 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15797,zip_derived_cl37,zip_derived_cl11,zip_derived_cl37,zip_derived_cl11]) ).
thf(zip_derived_cl269,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459_1947,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_1948,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18367,plain,
( ( n4
!= ( sum @ n18 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15850,zip_derived_cl269,zip_derived_cl194,zip_derived_cl459,zip_derived_cl272]) ).
thf(zip_derived_cl18827,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n6 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl18367]) ).
thf('215',plain,
( ( sk__1 != n6 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18827]) ).
thf(zip_derived_cl482_1949,plain,
( ( sum @ n16 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1090_1950,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15796,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_cl1090,zip_derived_cl15787]) ).
thf(zip_derived_cl36_1952,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_1953,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1954,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_1955,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15849,plain,
( ( ( sum @ ( sum @ n7 @ n7 ) @ ( sum @ n5 @ n9 ) )
!= ( sum @ ( sum @ n7 @ n9 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15796,zip_derived_cl36,zip_derived_cl10,zip_derived_cl36,zip_derived_cl10]) ).
thf(zip_derived_cl243_1956,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl193,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_1957,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_1958,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18366,plain,
( ( n2
!= ( sum @ n16 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15849,zip_derived_cl243,zip_derived_cl193,zip_derived_cl432,zip_derived_cl245]) ).
thf(zip_derived_cl18381,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n6 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl18366]) ).
thf('216',plain,
( ( sk__1 != n6 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18381]) ).
thf(zip_derived_cl1089_1959,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_1960,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15795,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_cl1089,zip_derived_cl15787]) ).
thf(zip_derived_cl35_1961,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_1962,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_1963,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_1964,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15848,plain,
( ( ( sum @ ( sum @ n6 @ n7 ) @ ( sum @ n5 @ n8 ) )
!= ( sum @ ( sum @ n6 @ n8 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15795,zip_derived_cl35,zip_derived_cl9,zip_derived_cl35,zip_derived_cl9]) ).
thf(zip_derived_cl217,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_1965,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_1966,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl430_1967,plain,
( ( sum @ n14 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18364,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n6 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15848,zip_derived_cl217,zip_derived_cl192,zip_derived_cl405,zip_derived_cl218,zip_derived_cl430]) ).
thf('217',plain,
( ( sk__1 != n6 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18364]) ).
thf(zip_derived_cl1085_1968,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_1969,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15791,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_cl1085,zip_derived_cl15787]) ).
thf(zip_derived_cl31_1970,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_1971,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl188,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1972,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_1973,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_1974,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15843,plain,
( ( ( sum @ n9 @ n9 )
!= ( sum @ n6 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15791,zip_derived_cl31,zip_derived_cl113,zip_derived_cl5,zip_derived_cl188,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110]) ).
thf(zip_derived_cl297_1975,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1976,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17142,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n6 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15843,zip_derived_cl297,zip_derived_cl222]) ).
thf('218',plain,
( ( sk_ != n3 )
| ( sk__1 != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17142]) ).
thf(zip_derived_cl270_1977,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1084_1978,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_1979,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15790,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_cl1084,zip_derived_cl15787]) ).
thf(zip_derived_cl30_1980,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_1981,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl187,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_1982,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_1983,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_1984,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170_1985,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15842,plain,
( ( ( sum @ n8 @ n8 )
!= n16 )
<= ( ( sk__1 = n6 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15790,zip_derived_cl30,zip_derived_cl87,zip_derived_cl4,zip_derived_cl187,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl170]) ).
thf(zip_derived_cl16719,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n6 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl270,zip_derived_cl15842]) ).
thf('219',plain,
( ( sk__1 != n6 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16719]) ).
thf(zip_derived_cl1062_1986,plain,
( ( sk__1 = n6 )
<= ( sk__1 = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1088_1987,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl0_1988,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_cl1563,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1088,zip_derived_cl0]) ).
thf(zip_derived_cl8_1989,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_1990,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1571,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n7 ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ n7 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n6 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl8,zip_derived_cl8]) ).
thf(zip_derived_cl2474,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ ( sum @ ( pred @ n6 ) @ n7 ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ n7 ) @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1062,zip_derived_cl1571]) ).
thf(zip_derived_cl8_1991,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_1992,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2526,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_cl2474,zip_derived_cl8,zip_derived_cl8]) ).
thf('220',plain,
( ( sk__1 != n6 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2526]) ).
thf(zip_derived_cl1104_1993,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_1994,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20574,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl20403]) ).
thf(zip_derived_cl50_1995,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl600_1996,plain,
( ( sum @ n21 @ n0 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1997,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_1998,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1999,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl623_2000,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_2001,plain,
( ( sum @ n18 @ n24 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20626,plain,
( ( ( sum @ n21 @ ( sum @ n24 @ n23 ) )
!= n16 )
<= ( ( sk__1 = n25 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20574,zip_derived_cl50,zip_derived_cl600,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24,zip_derived_cl623,zip_derived_cl546]) ).
thf(zip_derived_cl701_2002,plain,
( ( sum @ n24 @ n23 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl621_2003,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21039,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n25 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20626,zip_derived_cl701,zip_derived_cl621]) ).
thf('221',plain,
( ( sk_ != n22 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21039]) ).
thf(zip_derived_cl702_2004,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl623_2005,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_2006,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_2007,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13407,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl13384]) ).
thf(zip_derived_cl50_2008,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2009,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2010,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2011,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13460,plain,
( ( ( sum @ ( sum @ n21 @ n3 ) @ ( sum @ n1 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13407,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl103,plain,
( ( sum @ n1 @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17912,plain,
( ( ( sum @ ( sum @ n21 @ n3 ) @ n24 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13460,zip_derived_cl103]) ).
thf(zip_derived_cl19731,plain,
( ( ( sum @ ( sum @ n21 @ n3 ) @ n24 )
!= ( sum @ n18 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl17912]) ).
thf(zip_derived_cl603,plain,
( ( sum @ n21 @ n3 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl526,plain,
( ( sum @ n18 @ n4 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19747,plain,
( ( ( sum @ n24 @ n24 )
!= n22 )
<= ( ( sk__1 = n2 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19731,zip_derived_cl603,zip_derived_cl526]) ).
thf(zip_derived_cl20786,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n2 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl19747]) ).
thf('222',plain,
( ( sk_ != n22 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20786]) ).
thf(zip_derived_cl675_2012,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl623_2013,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_2014,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_2015,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13184,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl13161]) ).
thf(zip_derived_cl50_2016,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2017,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2018,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2019,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13237,plain,
( ( ( sum @ ( sum @ n21 @ n2 ) @ ( sum @ n0 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13184,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl77,plain,
( ( sum @ n0 @ n23 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17730,plain,
( ( ( sum @ ( sum @ n21 @ n2 ) @ n23 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13237,zip_derived_cl77]) ).
thf(zip_derived_cl19730,plain,
( ( ( sum @ ( sum @ n21 @ n2 ) @ n23 )
!= ( sum @ n18 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl17730]) ).
thf(zip_derived_cl602,plain,
( ( sum @ n21 @ n2 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl524,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19746,plain,
( ( ( sum @ n23 @ n23 )
!= n20 )
<= ( ( sk__1 = n1 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19730,zip_derived_cl602,zip_derived_cl524]) ).
thf(zip_derived_cl20304,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n1 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl19746]) ).
thf('223',plain,
( ( sk_ != n22 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20304]) ).
thf(zip_derived_cl1104_2020,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_2021,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19502,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl19441]) ).
thf(zip_derived_cl50_2022,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2023,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2024,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2025,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19569,plain,
( ( ( sum @ ( sum @ n21 @ n22 ) @ ( sum @ n20 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19502,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl622,plain,
( ( sum @ n21 @ n22 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl597,plain,
( ( sum @ n20 @ n23 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl513_2026,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl623_2027,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl538,plain,
( ( sum @ n18 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20274,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n21 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19569,zip_derived_cl622,zip_derived_cl597,zip_derived_cl513,zip_derived_cl623,zip_derived_cl538]) ).
thf('224',plain,
( ( sk_ != n22 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20274]) ).
thf(zip_derived_cl1104_2028,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_2029,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19215,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl19158]) ).
thf(zip_derived_cl50_2030,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2031,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2032,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2033,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19279,plain,
( ( ( sum @ ( sum @ n21 @ n21 ) @ ( sum @ n19 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19215,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl621_2034,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl571,plain,
( ( sum @ n19 @ n23 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486_2035,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl623_2036,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl536,plain,
( ( sum @ n18 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20264,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n20 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19279,zip_derived_cl621,zip_derived_cl571,zip_derived_cl486,zip_derived_cl623,zip_derived_cl536]) ).
thf('225',plain,
( ( sk_ != n22 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20264]) ).
thf(zip_derived_cl1104_2037,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_2038,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18945,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl18892]) ).
thf(zip_derived_cl50_2039,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2040,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2041,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2042,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19007,plain,
( ( ( sum @ ( sum @ n21 @ n20 ) @ ( sum @ n18 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18945,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl620,plain,
( ( sum @ n21 @ n20 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl545,plain,
( ( sum @ n18 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459_2043,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl623_2044,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl534_2045,plain,
( ( sum @ n18 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20250,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n19 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19007,zip_derived_cl620,zip_derived_cl545,zip_derived_cl459,zip_derived_cl623,zip_derived_cl534]) ).
thf('226',plain,
( ( sk_ != n22 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20250]) ).
thf(zip_derived_cl1104_2046,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_2047,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18692,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl18650]) ).
thf(zip_derived_cl50_2048,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2049,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2050,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2051,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18751,plain,
( ( ( sum @ ( sum @ n21 @ n19 ) @ ( sum @ n17 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18692,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl619,plain,
( ( sum @ n21 @ n19 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl519,plain,
( ( sum @ n17 @ n23 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_2052,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl623_2053,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl532,plain,
( ( sum @ n18 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20232,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n18 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18751,zip_derived_cl619,zip_derived_cl519,zip_derived_cl432,zip_derived_cl623,zip_derived_cl532]) ).
thf('227',plain,
( ( sk_ != n22 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20232]) ).
thf(zip_derived_cl1104_2054,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_2055,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18464,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl18424]) ).
thf(zip_derived_cl50_2056,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2057,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2058,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2059,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18521,plain,
( ( ( sum @ ( sum @ n21 @ n18 ) @ ( sum @ n16 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18464,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl618,plain,
( ( sum @ n21 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl493,plain,
( ( sum @ n16 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_2060,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl623_2061,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl530_2062,plain,
( ( sum @ n18 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19968,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n17 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18521,zip_derived_cl618,zip_derived_cl493,zip_derived_cl405,zip_derived_cl623,zip_derived_cl530]) ).
thf('228',plain,
( ( sk_ != n22 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19968]) ).
thf(zip_derived_cl623_2063,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_2064,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_2065,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18233,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl18201]) ).
thf(zip_derived_cl50_2066,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2067,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2068,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2069,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18289,plain,
( ( ( sum @ ( sum @ n21 @ n17 ) @ ( sum @ n15 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18233,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl617,plain,
( ( sum @ n21 @ n17 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl467,plain,
( ( sum @ n15 @ n23 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_2070,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19678,plain,
( ( n24
!= ( sum @ ( sum @ n21 @ n23 ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18289,zip_derived_cl617,zip_derived_cl467,zip_derived_cl378]) ).
thf(zip_derived_cl19745,plain,
( ( n24
!= ( sum @ n18 @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl19678]) ).
thf(zip_derived_cl528_2071,plain,
( ( sum @ n18 @ n6 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19773,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n16 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19745,zip_derived_cl528]) ).
thf('229',plain,
( ( sk_ != n22 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19773]) ).
thf(zip_derived_cl623_2072,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_2073,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_2074,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl18007,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl17975]) ).
thf(zip_derived_cl50_2075,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2076,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2077,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2078,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18062,plain,
( ( ( sum @ ( sum @ n21 @ n16 ) @ ( sum @ n14 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18007,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl616,plain,
( ( sum @ n21 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl441,plain,
( ( sum @ n14 @ n23 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_2079,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19652,plain,
( ( n22
!= ( sum @ ( sum @ n21 @ n23 ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18062,zip_derived_cl616,zip_derived_cl441,zip_derived_cl351]) ).
thf(zip_derived_cl19744,plain,
( ( n22
!= ( sum @ n18 @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl19652]) ).
thf(zip_derived_cl526_2080,plain,
( ( sum @ n18 @ n4 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19771,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n15 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19744,zip_derived_cl526]) ).
thf('230',plain,
( ( sk_ != n22 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19771]) ).
thf(zip_derived_cl623_2081,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_2082,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_2083,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17785,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl17756]) ).
thf(zip_derived_cl50_2084,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2085,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2086,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2087,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17839,plain,
( ( ( sum @ ( sum @ n21 @ n15 ) @ ( sum @ n13 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17785,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl415,plain,
( ( sum @ n13 @ n23 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19622,plain,
( ( ( sum @ ( sum @ n21 @ n15 ) @ n10 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17839,zip_derived_cl415]) ).
thf(zip_derived_cl19743,plain,
( ( ( sum @ ( sum @ n21 @ n15 ) @ n10 )
!= ( sum @ n18 @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl19622]) ).
thf(zip_derived_cl615,plain,
( ( sum @ n21 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_2088,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl524_2089,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19769,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n14 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19743,zip_derived_cl615,zip_derived_cl324,zip_derived_cl524]) ).
thf('231',plain,
( ( sk_ != n22 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19769]) ).
thf(zip_derived_cl623_2090,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_2091,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_2092,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17615,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl17592]) ).
thf(zip_derived_cl50_2093,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2094,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2095,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2096,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17668,plain,
( ( ( sum @ ( sum @ n21 @ n14 ) @ ( sum @ n12 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17615,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl389,plain,
( ( sum @ n12 @ n23 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19378,plain,
( ( ( sum @ ( sum @ n21 @ n14 ) @ n9 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17668,zip_derived_cl389]) ).
thf(zip_derived_cl19742,plain,
( ( ( sum @ ( sum @ n21 @ n14 ) @ n9 )
!= ( sum @ n18 @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl19378]) ).
thf(zip_derived_cl614,plain,
( ( sum @ n21 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_2097,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl522_2098,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19767,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n13 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19742,zip_derived_cl614,zip_derived_cl297,zip_derived_cl522]) ).
thf('232',plain,
( ( sk_ != n22 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19767]) ).
thf(zip_derived_cl623_2099,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_2100,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_2101,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17206,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl17181]) ).
thf(zip_derived_cl50_2102,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2103,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2104,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2105,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17259,plain,
( ( ( sum @ ( sum @ n21 @ n12 ) @ ( sum @ n10 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17206,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl337,plain,
( ( sum @ n10 @ n23 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19079,plain,
( ( ( sum @ ( sum @ n21 @ n12 ) @ n7 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17259,zip_derived_cl337]) ).
thf(zip_derived_cl19740,plain,
( ( ( sum @ ( sum @ n21 @ n12 ) @ n7 )
!= ( sum @ n18 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl19079]) ).
thf(zip_derived_cl612,plain,
( ( sum @ n21 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_2106,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_2107,plain,
( ( sum @ n18 @ n22 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19763,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n11 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19740,zip_derived_cl612,zip_derived_cl243,zip_derived_cl544]) ).
thf('233',plain,
( ( sk_ != n22 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19763]) ).
thf(zip_derived_cl623_2108,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_2109,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_2110,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16989,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl16960]) ).
thf(zip_derived_cl50_2111,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2112,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2113,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2114,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17042,plain,
( ( ( sum @ ( sum @ n21 @ n11 ) @ ( sum @ n9 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16989,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl311,plain,
( ( sum @ n9 @ n23 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18860,plain,
( ( ( sum @ ( sum @ n21 @ n11 ) @ n6 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17042,zip_derived_cl311]) ).
thf(zip_derived_cl19739,plain,
( ( ( sum @ ( sum @ n21 @ n11 ) @ n6 )
!= ( sum @ n18 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl18860]) ).
thf(zip_derived_cl611,plain,
( ( sum @ n21 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_2115,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_2116,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19761,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n10 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19739,zip_derived_cl611,zip_derived_cl216,zip_derived_cl542]) ).
thf('234',plain,
( ( sk_ != n22 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19761]) ).
thf(zip_derived_cl623_2117,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_2118,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_2119,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16755,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl16730]) ).
thf(zip_derived_cl50_2120,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2121,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2122,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2123,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16808,plain,
( ( ( sum @ ( sum @ n21 @ n10 ) @ ( sum @ n8 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16755,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl285,plain,
( ( sum @ n8 @ n23 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18820,plain,
( ( ( sum @ ( sum @ n21 @ n10 ) @ n5 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16808,zip_derived_cl285]) ).
thf(zip_derived_cl19738,plain,
( ( ( sum @ ( sum @ n21 @ n10 ) @ n5 )
!= ( sum @ n18 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl18820]) ).
thf(zip_derived_cl610,plain,
( ( sum @ n21 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_2124,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl540_2125,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19759,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n9 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19738,zip_derived_cl610,zip_derived_cl189,zip_derived_cl540]) ).
thf('235',plain,
( ( sk_ != n22 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19759]) ).
thf(zip_derived_cl623_2126,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_2127,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_2128,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16532,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl16503]) ).
thf(zip_derived_cl50_2129,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2130,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2131,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2132,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16585,plain,
( ( ( sum @ ( sum @ n21 @ n9 ) @ ( sum @ n7 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16532,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl259,plain,
( ( sum @ n7 @ n23 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18609,plain,
( ( ( sum @ ( sum @ n21 @ n9 ) @ n4 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16585,zip_derived_cl259]) ).
thf(zip_derived_cl19737,plain,
( ( ( sum @ ( sum @ n21 @ n9 ) @ n4 )
!= ( sum @ n18 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl18609]) ).
thf(zip_derived_cl609,plain,
( ( sum @ n21 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_2133,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl538_2134,plain,
( ( sum @ n18 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19757,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n8 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19737,zip_derived_cl609,zip_derived_cl162,zip_derived_cl538]) ).
thf('236',plain,
( ( sk_ != n22 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19757]) ).
thf(zip_derived_cl623_2135,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_2136,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_2137,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16304,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl16281]) ).
thf(zip_derived_cl50_2138,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2139,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2140,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2141,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16357,plain,
( ( ( sum @ ( sum @ n21 @ n8 ) @ ( sum @ n6 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16304,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl233,plain,
( ( sum @ n6 @ n23 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18576,plain,
( ( ( sum @ ( sum @ n21 @ n8 ) @ n3 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16357,zip_derived_cl233]) ).
thf(zip_derived_cl19736,plain,
( ( ( sum @ ( sum @ n21 @ n8 ) @ n3 )
!= ( sum @ n18 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl18576]) ).
thf(zip_derived_cl608,plain,
( ( sum @ n21 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_2142,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl536_2143,plain,
( ( sum @ n18 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19755,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n7 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19736,zip_derived_cl608,zip_derived_cl135,zip_derived_cl536]) ).
thf('237',plain,
( ( sk_ != n22 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19755]) ).
thf(zip_derived_cl623_2144,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_2145,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_2146,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15201,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl15178]) ).
thf(zip_derived_cl50_2147,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2148,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2149,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2150,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15254,plain,
( ( ( sum @ ( sum @ n21 @ n6 ) @ ( sum @ n4 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15201,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl181_2151,plain,
( ( sum @ n4 @ n23 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18334,plain,
( ( ( sum @ ( sum @ n21 @ n6 ) @ n1 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15254,zip_derived_cl181]) ).
thf(zip_derived_cl19734,plain,
( ( ( sum @ ( sum @ n21 @ n6 ) @ n1 )
!= ( sum @ n18 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl18334]) ).
thf(zip_derived_cl606_2152,plain,
( ( sum @ n21 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_2153,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl532_2154,plain,
( ( sum @ n18 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19751,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n5 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19734,zip_derived_cl606,zip_derived_cl81,zip_derived_cl532]) ).
thf('238',plain,
( ( sk_ != n22 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19751]) ).
thf(zip_derived_cl1104_2155,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl4842_2156,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ ( pred @ n22 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n22 ) @ n23 ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1403,zip_derived_cl24,zip_derived_cl24]) ).
thf(zip_derived_cl4865,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n23 ) @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ ( sum @ ( pred @ n22 ) @ n23 ) ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl4842]) ).
thf(zip_derived_cl24_2157,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2158,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4917,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n23 ) @ ( sum @ ( pred @ n22 ) @ n23 ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ n23 ) @ ( sum @ ( pred @ n22 ) @ n23 ) ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4865,zip_derived_cl24,zip_derived_cl24]) ).
thf('239',plain,
( ( sk_ != n22 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4917]) ).
thf(zip_derived_cl729_2159,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1091_2160,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_2161,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18220,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl18201]) ).
thf(zip_derived_cl37_2162,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl279,plain,
( ( sum @ n8 @ n17 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_2163,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl454,plain,
( ( sum @ n15 @ n10 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_2164,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_2165,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_2166,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18272,plain,
( ( ( sum @ n25 @ n25 )
!= ( sum @ n18 @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18220,zip_derived_cl37,zip_derived_cl279,zip_derived_cl11,zip_derived_cl454,zip_derived_cl37,zip_derived_cl11,zip_derived_cl272]) ).
thf(zip_derived_cl21125,plain,
( ( n24
!= ( sum @ n18 @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl18272]) ).
thf(zip_derived_cl528_2167,plain,
( ( sum @ n18 @ n6 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21153,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n16 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21125,zip_derived_cl528]) ).
thf('240',plain,
( ( sk__1 != n16 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21153]) ).
thf(zip_derived_cl721_2168,plain,
( ( sum @ n25 @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_2169,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_2170,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18211,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1082,zip_derived_cl18201]) ).
thf(zip_derived_cl28_2171,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2172,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl445_2173,plain,
( ( sum @ n15 @ n1 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2174,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2175,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18263,plain,
( ( ( sum @ ( sum @ n25 @ n17 ) @ n16 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18211,zip_derived_cl28,zip_derived_cl2,zip_derived_cl445,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl21041,plain,
( ( ( sum @ n16 @ n16 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl18263]) ).
thf(zip_derived_cl486_2176,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_2177,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_2178,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21042,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n16 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21041,zip_derived_cl486,zip_derived_cl705,zip_derived_cl60]) ).
thf('241',plain,
( ( sk__1 != n16 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21042]) ).
thf(zip_derived_cl702_2179,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1090_2180,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_2181,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18219,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1090,zip_derived_cl18201]) ).
thf(zip_derived_cl36_2182,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl253,plain,
( ( sum @ n7 @ n17 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_2183,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl453,plain,
( ( sum @ n15 @ n9 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_2184,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_2185,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_2186,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18271,plain,
( ( ( sum @ n24 @ n24 )
!= ( sum @ n16 @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18219,zip_derived_cl36,zip_derived_cl253,zip_derived_cl10,zip_derived_cl453,zip_derived_cl36,zip_derived_cl10,zip_derived_cl245]) ).
thf(zip_derived_cl20771,plain,
( ( n22
!= ( sum @ n16 @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl18271]) ).
thf(zip_derived_cl476_2187,plain,
( ( sum @ n16 @ n6 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20797,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n16 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20771,zip_derived_cl476]) ).
thf('242',plain,
( ( sk__1 != n16 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20797]) ).
thf(zip_derived_cl677_2188,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_2189,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_2190,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18235,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl18201]) ).
thf(zip_derived_cl52_2191,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_2192,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_2193,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_2194,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18291,plain,
( ( ( sum @ ( sum @ n23 @ n17 ) @ ( sum @ n15 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18235,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl469_2195,plain,
( ( sum @ n15 @ n25 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19680,plain,
( ( ( sum @ ( sum @ n23 @ n17 ) @ n14 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18291,zip_derived_cl469]) ).
thf(zip_derived_cl20347,plain,
( ( ( sum @ ( sum @ n23 @ n17 ) @ n14 )
!= ( sum @ n22 @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl19680]) ).
thf(zip_derived_cl669_2196,plain,
( ( sum @ n23 @ n17 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_2197,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl632_2198,plain,
( ( sum @ n22 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20385,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n16 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20347,zip_derived_cl669,zip_derived_cl432,zip_derived_cl632]) ).
thf('243',plain,
( ( sk__1 != n16 )
| ( sk_ != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20385]) ).
thf(zip_derived_cl675_2199,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1089_2200,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_2201,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18218,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1089,zip_derived_cl18201]) ).
thf(zip_derived_cl35_2202,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227,plain,
( ( sum @ n6 @ n17 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2203,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl452,plain,
( ( sum @ n15 @ n8 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2204,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2205,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_2206,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl424_2207,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18270,plain,
( ( ( sum @ n23 @ n23 )
!= n20 )
<= ( ( sk__1 = n16 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18218,zip_derived_cl35,zip_derived_cl227,zip_derived_cl9,zip_derived_cl452,zip_derived_cl35,zip_derived_cl9,zip_derived_cl218,zip_derived_cl424]) ).
thf(zip_derived_cl20289,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n16 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl18270]) ).
thf('244',plain,
( ( sk__1 != n16 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20289]) ).
thf(zip_derived_cl648_2208,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1088_2209,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_2210,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18217,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1088,zip_derived_cl18201]) ).
thf(zip_derived_cl34_2211,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl201_2212,plain,
( ( sum @ n5 @ n17 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2213,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl451_2214,plain,
( ( sum @ n15 @ n7 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2215,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2216,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_2217,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl372_2218,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18269,plain,
( ( ( sum @ n22 @ n22 )
!= n18 )
<= ( ( sk__1 = n16 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18217,zip_derived_cl34,zip_derived_cl201,zip_derived_cl8,zip_derived_cl451,zip_derived_cl34,zip_derived_cl8,zip_derived_cl191,zip_derived_cl372]) ).
thf(zip_derived_cl19991,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n16 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl18269]) ).
thf('245',plain,
( ( sk__1 != n16 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19991]) ).
thf(zip_derived_cl632_2219,plain,
( ( sum @ n22 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_2220,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_2221,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18222,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1093,zip_derived_cl18201]) ).
thf(zip_derived_cl39_2222,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl331,plain,
( ( sum @ n10 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2223,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl456,plain,
( ( sum @ n15 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_2224,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_2225,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2226,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_2227,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18274,plain,
( ( n2
!= ( sum @ n22 @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18222,zip_derived_cl39,zip_derived_cl331,zip_derived_cl13,zip_derived_cl456,zip_derived_cl81,zip_derived_cl39,zip_derived_cl13,zip_derived_cl326]) ).
thf(zip_derived_cl19921,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n16 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl632,zip_derived_cl18274]) ).
thf('246',plain,
( ( sk__1 != n16 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19921]) ).
thf(zip_derived_cl1103_2228,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_2229,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18232,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl18201]) ).
thf(zip_derived_cl49_2230,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_2231,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_2232,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_2233,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18288,plain,
( ( ( sum @ ( sum @ n20 @ n17 ) @ ( sum @ n15 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18232,zip_derived_cl49,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23]) ).
thf(zip_derived_cl591,plain,
( ( sum @ n20 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl466,plain,
( ( sum @ n15 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_2234,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_2235,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl476_2236,plain,
( ( sum @ n16 @ n6 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19676,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n16 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18288,zip_derived_cl591,zip_derived_cl466,zip_derived_cl351,zip_derived_cl596,zip_derived_cl476]) ).
thf('247',plain,
( ( sk__1 != n16 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19676]) ).
thf(zip_derived_cl1102_2237,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_2238,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18231,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1102,zip_derived_cl18201]) ).
thf(zip_derived_cl48_2239,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_2240,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_2241,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_2242,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18287,plain,
( ( ( sum @ ( sum @ n19 @ n17 ) @ ( sum @ n15 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18231,zip_derived_cl48,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22]) ).
thf(zip_derived_cl565,plain,
( ( sum @ n19 @ n17 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465,plain,
( ( sum @ n15 @ n21 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_2243,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_2244,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl424_2245,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19674,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n16 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18287,zip_derived_cl565,zip_derived_cl465,zip_derived_cl324,zip_derived_cl569,zip_derived_cl424]) ).
thf('248',plain,
( ( sk__1 != n16 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19674]) ).
thf(zip_derived_cl1101_2246,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_2247,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18230,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1101,zip_derived_cl18201]) ).
thf(zip_derived_cl47_2248,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_2249,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_2250,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_2251,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18286,plain,
( ( ( sum @ ( sum @ n18 @ n17 ) @ ( sum @ n15 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18230,zip_derived_cl47,zip_derived_cl21,zip_derived_cl47,zip_derived_cl21]) ).
thf(zip_derived_cl539,plain,
( ( sum @ n18 @ n17 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl464,plain,
( ( sum @ n15 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_2252,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_2253,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl372_2254,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19672,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n16 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18286,zip_derived_cl539,zip_derived_cl464,zip_derived_cl297,zip_derived_cl542,zip_derived_cl372]) ).
thf('249',plain,
( ( sk__1 != n16 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19672]) ).
thf(zip_derived_cl1100_2255,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_2256,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18229,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1100,zip_derived_cl18201]) ).
thf(zip_derived_cl46_2257,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_2258,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_2259,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_2260,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18285,plain,
( ( ( sum @ ( sum @ n17 @ n17 ) @ ( sum @ n15 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18229,zip_derived_cl46,zip_derived_cl20,zip_derived_cl46,zip_derived_cl20]) ).
thf(zip_derived_cl513_2261,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl463,plain,
( ( sum @ n15 @ n19 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_2262,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_2263,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_2264,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19670,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n16 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18285,zip_derived_cl513,zip_derived_cl463,zip_derived_cl270,zip_derived_cl515,zip_derived_cl320]) ).
thf('250',plain,
( ( sk_ != n18 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19670]) ).
thf(zip_derived_cl580_2265,plain,
( ( sum @ n20 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1092_2266,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_2267,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18221,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1092,zip_derived_cl18201]) ).
thf(zip_derived_cl38_2268,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl305,plain,
( ( sum @ n9 @ n17 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_2269,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl455,plain,
( ( sum @ n15 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2270,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_2271,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_2272,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_2273,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18273,plain,
( ( n0
!= ( sum @ n20 @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18221,zip_derived_cl38,zip_derived_cl305,zip_derived_cl12,zip_derived_cl455,zip_derived_cl54,zip_derived_cl38,zip_derived_cl12,zip_derived_cl299]) ).
thf(zip_derived_cl19326,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n16 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl580,zip_derived_cl18273]) ).
thf('251',plain,
( ( sk__1 != n16 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19326]) ).
thf(zip_derived_cl567_2274,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1085_2275,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_2276,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18214,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1085,zip_derived_cl18201]) ).
thf(zip_derived_cl31_2277,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl123,plain,
( ( sum @ n2 @ n17 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2278,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448,plain,
( ( sum @ n15 @ n4 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_2279,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2280,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_2281,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_2282,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18266,plain,
( ( ( sum @ n19 @ n19 )
!= n12 )
<= ( ( sk__1 = n16 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18214,zip_derived_cl31,zip_derived_cl123,zip_derived_cl5,zip_derived_cl448,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110,zip_derived_cl216]) ).
thf(zip_derived_cl19133,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n16 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl18266]) ).
thf('252',plain,
( ( sk_ != n3 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19133]) ).
thf(zip_derived_cl540_2283,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1084_2284,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_2285,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18213,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1084,zip_derived_cl18201]) ).
thf(zip_derived_cl30_2286,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97,plain,
( ( sum @ n1 @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2287,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl447,plain,
( ( sum @ n15 @ n3 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2288,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2289,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_2290,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_2291,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18265,plain,
( ( ( sum @ n18 @ n18 )
!= n10 )
<= ( ( sk__1 = n16 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18213,zip_derived_cl30,zip_derived_cl97,zip_derived_cl4,zip_derived_cl447,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl164]) ).
thf(zip_derived_cl18872,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n16 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl18265]) ).
thf('253',plain,
( ( sk__1 != n16 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18872]) ).
thf(zip_derived_cl488_2292,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1099_2293,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_2294,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18228,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1099,zip_derived_cl18201]) ).
thf(zip_derived_cl45_2295,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_2296,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl462,plain,
( ( sum @ n15 @ n18 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_2297,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_2298,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18284,plain,
( ( ( sum @ ( sum @ n16 @ n17 ) @ n7 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18228,zip_derived_cl45,zip_derived_cl19,zip_derived_cl462,zip_derived_cl45,zip_derived_cl19]) ).
thf(zip_derived_cl18429,plain,
( ( ( sum @ ( sum @ n16 @ n17 ) @ n7 )
!= ( sum @ n8 @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl18284]) ).
thf(zip_derived_cl487,plain,
( ( sum @ n16 @ n17 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_2299,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268_2300,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18437,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n16 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18429,zip_derived_cl487,zip_derived_cl243,zip_derived_cl268]) ).
thf('254',plain,
( ( sk__1 != n16 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18437]) ).
thf(zip_derived_cl1097_2301,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_2302,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18226,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1097,zip_derived_cl18201]) ).
thf(zip_derived_cl43_2303,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl435,plain,
( ( sum @ n14 @ n17 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_2304,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl460,plain,
( ( sum @ n15 @ n16 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_2305,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_2306,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_2307,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_2308,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_2309,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18280,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n16 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18226,zip_derived_cl43,zip_derived_cl435,zip_derived_cl17,zip_derived_cl460,zip_derived_cl189,zip_derived_cl43,zip_derived_cl17,zip_derived_cl434,zip_derived_cl164]) ).
thf('255',plain,
( ( sk__1 != n16 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18280]) ).
thf(zip_derived_cl1096_2310,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_2311,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18225,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1096,zip_derived_cl18201]) ).
thf(zip_derived_cl42_2312,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl409,plain,
( ( sum @ n13 @ n17 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_2313,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459_2314,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_2315,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_2316,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_2317,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_2318,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18278,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n16 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18225,zip_derived_cl42,zip_derived_cl409,zip_derived_cl16,zip_derived_cl459,zip_derived_cl162,zip_derived_cl42,zip_derived_cl16,zip_derived_cl407,zip_derived_cl112]) ).
thf('256',plain,
( ( sk__1 != n16 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18278]) ).
thf(zip_derived_cl1095_2319,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_2320,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18224,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1095,zip_derived_cl18201]) ).
thf(zip_derived_cl41_2321,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl383,plain,
( ( sum @ n12 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_2322,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl458,plain,
( ( sum @ n15 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_2323,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_2324,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_2325,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_2326,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_2327,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18276,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n16 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18224,zip_derived_cl41,zip_derived_cl383,zip_derived_cl15,zip_derived_cl458,zip_derived_cl135,zip_derived_cl41,zip_derived_cl15,zip_derived_cl380,zip_derived_cl60]) ).
thf('257',plain,
( ( sk__1 != n16 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18276]) ).
thf(zip_derived_cl1098_2328,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl4104_2329,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_cl1271,zip_derived_cl18,zip_derived_cl18]) ).
thf(zip_derived_cl4121,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_cl1098,zip_derived_cl4104]) ).
thf(zip_derived_cl18_2330,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_2331,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4173,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_cl4121,zip_derived_cl18,zip_derived_cl18]) ).
thf('258',plain,
( ( sk__1 != n16 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4173]) ).
thf(zip_derived_cl729_2332,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1088_2333,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_2334,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18929,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1088,zip_derived_cl18892]) ).
thf(zip_derived_cl34_2335,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl204_2336,plain,
( ( sum @ n5 @ n20 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2337,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl529_2338,plain,
( ( sum @ n18 @ n7 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2339,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2340,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_2341,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_2342,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18981,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n19 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18929,zip_derived_cl34,zip_derived_cl204,zip_derived_cl8,zip_derived_cl529,zip_derived_cl34,zip_derived_cl8,zip_derived_cl191,zip_derived_cl378]) ).
thf(zip_derived_cl21133,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n19 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl18981]) ).
thf('259',plain,
( ( sk_ != n6 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21133]) ).
thf(zip_derived_cl1088_2343,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_2344,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20558,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1088,zip_derived_cl20403]) ).
thf(zip_derived_cl34_2345,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl184_2346,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2347,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2348,plain,
( ( pred @ n6 )
= n5 ),
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_cl191_2350,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl390_2351,plain,
( ( sum @ n12 @ n24 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20610,plain,
( ( ( sum @ n5 @ ( sum @ n24 @ n7 ) )
!= n10 )
<= ( ( sk__1 = n25 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20558,zip_derived_cl34,zip_derived_cl184,zip_derived_cl8,zip_derived_cl34,zip_derived_cl8,zip_derived_cl191,zip_derived_cl390]) ).
thf(zip_derived_cl685_2352,plain,
( ( sum @ n24 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_2353,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20997,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n25 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20610,zip_derived_cl685,zip_derived_cl189]) ).
thf('260',plain,
( ( sk_ != n6 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20997]) ).
thf(zip_derived_cl702_2354,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1088_2355,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_2356,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18676,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1088,zip_derived_cl18650]) ).
thf(zip_derived_cl34_2357,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl203_2358,plain,
( ( sum @ n5 @ n19 )
= n24 ),
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_cl503_2360,plain,
( ( sum @ n17 @ n7 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2361,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2362,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_2363,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376,plain,
( ( sum @ n12 @ n10 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18728,plain,
( ( ( sum @ n24 @ n24 )
!= n22 )
<= ( ( sk__1 = n18 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18676,zip_derived_cl34,zip_derived_cl203,zip_derived_cl8,zip_derived_cl503,zip_derived_cl34,zip_derived_cl8,zip_derived_cl191,zip_derived_cl376]) ).
thf(zip_derived_cl20776,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n18 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl18728]) ).
thf('261',plain,
( ( sk_ != n6 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20776]) ).
thf(zip_derived_cl675_2364,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1088_2365,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_2366,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18448,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1088,zip_derived_cl18424]) ).
thf(zip_derived_cl34_2367,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl202_2368,plain,
( ( sum @ n5 @ n18 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2369,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl477_2370,plain,
( ( sum @ n16 @ n7 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2371,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2372,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_2373,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374_2374,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18500,plain,
( ( ( sum @ n23 @ n23 )
!= n20 )
<= ( ( sk__1 = n17 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18448,zip_derived_cl34,zip_derived_cl202,zip_derived_cl8,zip_derived_cl477,zip_derived_cl34,zip_derived_cl8,zip_derived_cl191,zip_derived_cl374]) ).
thf(zip_derived_cl20291,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n17 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl18500]) ).
thf('262',plain,
( ( sk_ != n6 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20291]) ).
thf(zip_derived_cl1088_2375,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_2376,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19781,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1088,zip_derived_cl19729]) ).
thf(zip_derived_cl34_2377,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl207_2378,plain,
( ( sum @ n5 @ n23 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2379,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl607_2380,plain,
( ( sum @ n21 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_2381,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_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_cl191_2384,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384,plain,
( ( sum @ n12 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19835,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n22 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19781,zip_derived_cl34,zip_derived_cl207,zip_derived_cl8,zip_derived_cl607,zip_derived_cl108,zip_derived_cl34,zip_derived_cl8,zip_derived_cl191,zip_derived_cl384]) ).
thf('263',plain,
( ( sk_ != n6 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19835]) ).
thf(zip_derived_cl621_2385,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1088_2386,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_2387,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl17991,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1088,zip_derived_cl17975]) ).
thf(zip_derived_cl34_2388,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_2389,plain,
( ( sum @ n5 @ n16 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2390,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl425_2391,plain,
( ( sum @ n14 @ n7 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2392,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2393,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_2394,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl370,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18043,plain,
( ( ( sum @ n21 @ n21 )
!= n16 )
<= ( ( sk__1 = n15 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17991,zip_derived_cl34,zip_derived_cl200,zip_derived_cl8,zip_derived_cl425,zip_derived_cl34,zip_derived_cl8,zip_derived_cl191,zip_derived_cl370]) ).
thf(zip_derived_cl19693,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n15 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl18043]) ).
thf('264',plain,
( ( sk_ != n6 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19693]) ).
thf(zip_derived_cl1088_2395,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_2396,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19486,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1088,zip_derived_cl19441]) ).
thf(zip_derived_cl34_2397,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl206_2398,plain,
( ( sum @ n5 @ n22 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2399,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl581_2400,plain,
( ( sum @ n20 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_2401,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2402,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2403,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_2404,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl382,plain,
( ( sum @ n12 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19539,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n21 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19486,zip_derived_cl34,zip_derived_cl206,zip_derived_cl8,zip_derived_cl581,zip_derived_cl81,zip_derived_cl34,zip_derived_cl8,zip_derived_cl191,zip_derived_cl382]) ).
thf('265',plain,
( ( sk_ != n6 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19539]) ).
thf(zip_derived_cl594_2405,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1088_2406,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_2407,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17769,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1088,zip_derived_cl17756]) ).
thf(zip_derived_cl34_2408,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl199_2409,plain,
( ( sum @ n5 @ n15 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2410,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl399_2411,plain,
( ( sum @ n13 @ n7 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2412,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2413,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_2414,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl368,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17821,plain,
( ( ( sum @ n20 @ n20 )
!= n14 )
<= ( ( sk__1 = n14 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17769,zip_derived_cl34,zip_derived_cl199,zip_derived_cl8,zip_derived_cl399,zip_derived_cl34,zip_derived_cl8,zip_derived_cl191,zip_derived_cl368]) ).
thf(zip_derived_cl19409,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n14 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl17821]) ).
thf('266',plain,
( ( sk_ != n6 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19409]) ).
thf(zip_derived_cl1088_2415,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_2416,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19199,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1088,zip_derived_cl19158]) ).
thf(zip_derived_cl34_2417,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl205_2418,plain,
( ( sum @ n5 @ n21 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2419,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl555_2420,plain,
( ( sum @ n19 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2421,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2422,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2423,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_2424,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_2425,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19251,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n20 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19199,zip_derived_cl34,zip_derived_cl205,zip_derived_cl8,zip_derived_cl555,zip_derived_cl54,zip_derived_cl34,zip_derived_cl8,zip_derived_cl191,zip_derived_cl380]) ).
thf('267',plain,
( ( sk_ != n6 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19251]) ).
thf(zip_derived_cl567_2426,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1088_2427,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_2428,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17599,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1088,zip_derived_cl17592]) ).
thf(zip_derived_cl34_2429,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_2430,plain,
( ( sum @ n5 @ n14 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2431,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl373_2432,plain,
( ( sum @ n12 @ n7 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2433,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2434,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_2435,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl366_2436,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17651,plain,
( ( ( sum @ n19 @ n19 )
!= n12 )
<= ( ( sk__1 = n13 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17599,zip_derived_cl34,zip_derived_cl198,zip_derived_cl8,zip_derived_cl373,zip_derived_cl34,zip_derived_cl8,zip_derived_cl191,zip_derived_cl366]) ).
thf(zip_derived_cl19128,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n13 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl17651]) ).
thf('268',plain,
( ( sk_ != n6 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19128]) ).
thf(zip_derived_cl513_2437,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1088_2438,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_2439,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17190,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1088,zip_derived_cl17181]) ).
thf(zip_derived_cl34_2440,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl196_2441,plain,
( ( sum @ n5 @ n12 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2442,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl321_2443,plain,
( ( sum @ n10 @ n7 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2444,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2445,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_2446,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17242,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ n12 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17190,zip_derived_cl34,zip_derived_cl196,zip_derived_cl8,zip_derived_cl321,zip_derived_cl34,zip_derived_cl8,zip_derived_cl191]) ).
thf(zip_derived_cl18625,plain,
( ( n8
!= ( sum @ n12 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl17242]) ).
thf(zip_derived_cl388_2447,plain,
( ( sum @ n12 @ n22 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18639,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n11 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18625,zip_derived_cl388]) ).
thf('269',plain,
( ( sk_ != n6 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18639]) ).
thf(zip_derived_cl486_2448,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1088_2449,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_2450,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16973,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_cl1088,zip_derived_cl16960]) ).
thf(zip_derived_cl34_2451,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl195_2452,plain,
( ( sum @ n5 @ n11 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2453,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl295_2454,plain,
( ( sum @ n9 @ n7 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2455,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2456,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_2457,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17025,plain,
( ( ( sum @ n16 @ n16 )
!= ( sum @ n12 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16973,zip_derived_cl34,zip_derived_cl195,zip_derived_cl8,zip_derived_cl295,zip_derived_cl34,zip_derived_cl8,zip_derived_cl191]) ).
thf(zip_derived_cl18403,plain,
( ( n6
!= ( sum @ n12 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl17025]) ).
thf(zip_derived_cl386,plain,
( ( sum @ n12 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18414,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n10 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18403,zip_derived_cl386]) ).
thf('270',plain,
( ( sk_ != n6 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18414]) ).
thf(zip_derived_cl459_2458,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1088_2459,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_2460,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16739,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_cl1088,zip_derived_cl16730]) ).
thf(zip_derived_cl34_2461,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_2462,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2463,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl269_2464,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2465,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2466,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_2467,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16791,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ n12 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16739,zip_derived_cl34,zip_derived_cl194,zip_derived_cl8,zip_derived_cl269,zip_derived_cl34,zip_derived_cl8,zip_derived_cl191]) ).
thf(zip_derived_cl18182,plain,
( ( n4
!= ( sum @ n12 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl16791]) ).
thf(zip_derived_cl384_2468,plain,
( ( sum @ n12 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18192,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n9 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18182,zip_derived_cl384]) ).
thf('271',plain,
( ( sk_ != n6 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18192]) ).
thf(zip_derived_cl1088_2469,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_2470,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15185,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_cl1088,zip_derived_cl15178]) ).
thf(zip_derived_cl34_2471,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2472,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2473,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2474,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15238,plain,
( ( ( sum @ ( sum @ n5 @ n6 ) @ ( sum @ n4 @ n7 ) )
!= ( sum @ ( sum @ n5 @ n7 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15185,zip_derived_cl34,zip_derived_cl8,zip_derived_cl34,zip_derived_cl8]) ).
thf(zip_derived_cl190_2475,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl165_2476,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_2477,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_2478,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_2479,plain,
( ( sum @ n12 @ n10 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18173,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n5 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15238,zip_derived_cl190,zip_derived_cl165,zip_derived_cl351,zip_derived_cl191,zip_derived_cl376]) ).
thf('272',plain,
( ( sk_ != n6 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18173]) ).
thf(zip_derived_cl432_2480,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1088_2481,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_2482,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16516,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_cl1088,zip_derived_cl16503]) ).
thf(zip_derived_cl34_2483,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl193_2484,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2485,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_2486,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2487,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2488,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_2489,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16568,plain,
( ( ( sum @ n14 @ n14 )
!= ( sum @ n12 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16516,zip_derived_cl34,zip_derived_cl193,zip_derived_cl8,zip_derived_cl243,zip_derived_cl34,zip_derived_cl8,zip_derived_cl191]) ).
thf(zip_derived_cl17958,plain,
( ( n2
!= ( sum @ n12 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl16568]) ).
thf(zip_derived_cl382_2490,plain,
( ( sum @ n12 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17965,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n8 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17958,zip_derived_cl382]) ).
thf('273',plain,
( ( sk_ != n6 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17965]) ).
thf(zip_derived_cl1088_2491,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_2492,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13391,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_cl1088,zip_derived_cl13384]) ).
thf(zip_derived_cl34_2493,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2494,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2495,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2496,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13444,plain,
( ( ( sum @ ( sum @ n5 @ n3 ) @ ( sum @ n1 @ n7 ) )
!= ( sum @ ( sum @ n5 @ n7 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13391,zip_derived_cl34,zip_derived_cl8,zip_derived_cl34,zip_derived_cl8]) ).
thf(zip_derived_cl187_2497,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_2498,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_2499,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_2500,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl370_2501,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17891,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n2 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13444,zip_derived_cl187,zip_derived_cl87,zip_derived_cl270,zip_derived_cl191,zip_derived_cl370]) ).
thf('274',plain,
( ( sk_ != n6 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17891]) ).
thf(zip_derived_cl405_2502,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1088_2503,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_2504,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16288,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_cl1088,zip_derived_cl16281]) ).
thf(zip_derived_cl34_2505,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_2506,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2507,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl217_2508,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2509,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2510,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_2511,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16340,plain,
( ( ( sum @ n13 @ n13 )
!= ( sum @ n12 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16288,zip_derived_cl34,zip_derived_cl192,zip_derived_cl8,zip_derived_cl217,zip_derived_cl34,zip_derived_cl8,zip_derived_cl191]) ).
thf(zip_derived_cl17737,plain,
( ( n0
!= ( sum @ n12 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl16340]) ).
thf(zip_derived_cl380_2512,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17743,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n7 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17737,zip_derived_cl380]) ).
thf('275',plain,
( ( sk_ != n6 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17743]) ).
thf(zip_derived_cl1088_2513,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_2514,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13168,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_cl1088,zip_derived_cl13161]) ).
thf(zip_derived_cl34_2515,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2516,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_2517,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2518,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13221,plain,
( ( ( sum @ ( sum @ n5 @ n2 ) @ ( sum @ n0 @ n7 ) )
!= ( sum @ ( sum @ n5 @ n7 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13168,zip_derived_cl34,zip_derived_cl8,zip_derived_cl34,zip_derived_cl8]) ).
thf(zip_derived_cl186,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_2519,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_2520,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl368_2521,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17713,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n1 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13221,zip_derived_cl186,zip_derived_cl61,zip_derived_cl243,zip_derived_cl191,zip_derived_cl368]) ).
thf('276',plain,
( ( sk_ != n6 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17713]) ).
thf(zip_derived_cl729_2522,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1099_2523,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_2524,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16527,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_cl1099,zip_derived_cl16503]) ).
thf(zip_derived_cl45_2525,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_2526,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_2527,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_2528,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16580,plain,
( ( ( sum @ ( sum @ n16 @ n9 ) @ ( sum @ n7 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16527,zip_derived_cl45,zip_derived_cl19,zip_derived_cl45,zip_derived_cl19]) ).
thf(zip_derived_cl479,plain,
( ( sum @ n16 @ n9 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl254,plain,
( ( sum @ n7 @ n18 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_2529,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278_2530,plain,
( ( sum @ n8 @ n16 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18604,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n8 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16580,zip_derived_cl479,zip_derived_cl254,zip_derived_cl488,zip_derived_cl278]) ).
thf(zip_derived_cl21127,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n8 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl18604]) ).
thf('277',plain,
( ( sk__1 != n8 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21127]) ).
thf(zip_derived_cl713_2531,plain,
( ( sum @ n25 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_2532,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_2533,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16510,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_cl1082,zip_derived_cl16503]) ).
thf(zip_derived_cl28_2534,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2535,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl237_2536,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2537,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2538,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16562,plain,
( ( ( sum @ ( sum @ n25 @ n9 ) @ n8 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16510,zip_derived_cl28,zip_derived_cl2,zip_derived_cl237,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl20965,plain,
( ( ( sum @ n8 @ n8 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl713,zip_derived_cl16562]) ).
thf(zip_derived_cl270_2539,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_2540,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20966,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n8 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20965,zip_derived_cl270,zip_derived_cl705,zip_derived_cl70]) ).
thf('278',plain,
( ( sk__1 != n8 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20966]) ).
thf(zip_derived_cl702_2541,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1098_2542,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_2543,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16526,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_cl1098,zip_derived_cl16503]) ).
thf(zip_derived_cl44_2544,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_2545,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_2546,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_2547,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16579,plain,
( ( ( sum @ ( sum @ n15 @ n9 ) @ ( sum @ n7 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16526,zip_derived_cl44,zip_derived_cl18,zip_derived_cl44,zip_derived_cl18]) ).
thf(zip_derived_cl453_2548,plain,
( ( sum @ n15 @ n9 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl253_2549,plain,
( ( sum @ n7 @ n17 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_2550,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226,plain,
( ( sum @ n6 @ n16 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18603,plain,
( ( ( sum @ n24 @ n24 )
!= n22 )
<= ( ( sk__1 = n8 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16579,zip_derived_cl453,zip_derived_cl253,zip_derived_cl461,zip_derived_cl226]) ).
thf(zip_derived_cl20774,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n8 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl18603]) ).
thf('279',plain,
( ( sk__1 != n8 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20774]) ).
thf(zip_derived_cl677_2551,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_2552,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_2553,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16534,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl16503]) ).
thf(zip_derived_cl52_2554,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_2555,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_2556,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_2557,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16587,plain,
( ( ( sum @ ( sum @ n23 @ n9 ) @ ( sum @ n7 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16534,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl261_2558,plain,
( ( sum @ n7 @ n25 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18611,plain,
( ( ( sum @ ( sum @ n23 @ n9 ) @ n6 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16587,zip_derived_cl261]) ).
thf(zip_derived_cl20339,plain,
( ( ( sum @ ( sum @ n23 @ n9 ) @ n6 )
!= ( sum @ n22 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl18611]) ).
thf(zip_derived_cl661_2559,plain,
( ( sum @ n23 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_2560,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_2561,plain,
( ( sum @ n22 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20369,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n8 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20339,zip_derived_cl661,zip_derived_cl216,zip_derived_cl642]) ).
thf('280',plain,
( ( sk__1 != n8 )
| ( sk_ != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20369]) ).
thf(zip_derived_cl675_2562,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1097_2563,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_2564,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16525,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_cl1097,zip_derived_cl16503]) ).
thf(zip_derived_cl43_2565,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_2566,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_2567,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_2568,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16578,plain,
( ( ( sum @ ( sum @ n14 @ n9 ) @ ( sum @ n7 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16525,zip_derived_cl43,zip_derived_cl17,zip_derived_cl43,zip_derived_cl17]) ).
thf(zip_derived_cl427,plain,
( ( sum @ n14 @ n9 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl252,plain,
( ( sum @ n7 @ n16 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_2569,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174_2570,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18602,plain,
( ( ( sum @ n23 @ n23 )
!= n20 )
<= ( ( sk__1 = n8 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16578,zip_derived_cl427,zip_derived_cl252,zip_derived_cl434,zip_derived_cl174]) ).
thf(zip_derived_cl20293,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n8 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl18602]) ).
thf('281',plain,
( ( sk__1 != n8 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20293]) ).
thf(zip_derived_cl648_2571,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1096_2572,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_2573,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16524,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_cl1096,zip_derived_cl16503]) ).
thf(zip_derived_cl42_2574,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_2575,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_2576,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_2577,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16577,plain,
( ( ( sum @ ( sum @ n13 @ n9 ) @ ( sum @ n7 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16524,zip_derived_cl42,zip_derived_cl16,zip_derived_cl42,zip_derived_cl16]) ).
thf(zip_derived_cl401,plain,
( ( sum @ n13 @ n9 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl251,plain,
( ( sum @ n7 @ n15 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_2578,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18601,plain,
( ( ( sum @ n22 @ n22 )
!= n18 )
<= ( ( sk__1 = n8 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16577,zip_derived_cl401,zip_derived_cl251,zip_derived_cl407,zip_derived_cl122]) ).
thf(zip_derived_cl19996,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n8 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl18601]) ).
thf('282',plain,
( ( sk__1 != n8 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19996]) ).
thf(zip_derived_cl642_2579,plain,
( ( sum @ n22 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_2580,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_2581,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16521,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_cl1093,zip_derived_cl16503]) ).
thf(zip_derived_cl39_2582,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2583,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_2584,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2585,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16574,plain,
( ( ( sum @ ( sum @ n10 @ n9 ) @ ( sum @ n7 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16521,zip_derived_cl39,zip_derived_cl13,zip_derived_cl39,zip_derived_cl13]) ).
thf(zip_derived_cl323,plain,
( ( sum @ n10 @ n9 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl248,plain,
( ( sum @ n7 @ n12 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_2586,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18598,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ n22 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16574,zip_derived_cl323,zip_derived_cl248,zip_derived_cl326]) ).
thf(zip_derived_cl19946,plain,
( ( ( sum @ n19 @ n19 )
!= n12 )
<= ( ( sk__1 = n8 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl18598]) ).
thf(zip_derived_cl567_2587,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19948,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n8 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19946,zip_derived_cl567]) ).
thf('283',plain,
( ( sk__1 != n8 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19948]) ).
thf(zip_derived_cl621_2588,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1095_2589,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_2590,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16523,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_cl1095,zip_derived_cl16503]) ).
thf(zip_derived_cl41_2591,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_2592,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_2593,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_2594,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16576,plain,
( ( ( sum @ ( sum @ n12 @ n9 ) @ ( sum @ n7 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16523,zip_derived_cl41,zip_derived_cl15,zip_derived_cl41,zip_derived_cl15]) ).
thf(zip_derived_cl375,plain,
( ( sum @ n12 @ n9 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl250,plain,
( ( sum @ n7 @ n14 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_2595,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_2596,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18600,plain,
( ( ( sum @ n21 @ n21 )
!= n16 )
<= ( ( sk__1 = n8 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16576,zip_derived_cl375,zip_derived_cl250,zip_derived_cl380,zip_derived_cl70]) ).
thf(zip_derived_cl19700,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n8 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl18600]) ).
thf('284',plain,
( ( sk__1 != n8 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19700]) ).
thf(zip_derived_cl596_2597,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_2598,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_2599,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16531,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl16503]) ).
thf(zip_derived_cl49_2600,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_2601,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_2602,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_2603,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16584,plain,
( ( ( sum @ ( sum @ n20 @ n9 ) @ ( sum @ n7 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16531,zip_derived_cl49,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23]) ).
thf(zip_derived_cl258,plain,
( ( sum @ n7 @ n22 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18608,plain,
( ( ( sum @ ( sum @ n20 @ n9 ) @ n3 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16584,zip_derived_cl258]) ).
thf(zip_derived_cl19449,plain,
( ( ( sum @ ( sum @ n20 @ n9 ) @ n3 )
!= ( sum @ n16 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl18608]) ).
thf(zip_derived_cl583,plain,
( ( sum @ n20 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_2604,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486_2605,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19466,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n8 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19449,zip_derived_cl583,zip_derived_cl135,zip_derived_cl486]) ).
thf('285',plain,
( ( sk__1 != n8 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19466]) ).
thf(zip_derived_cl590_2606,plain,
( ( sum @ n20 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1092_2607,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_2608,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16520,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_cl1092,zip_derived_cl16503]) ).
thf(zip_derived_cl38_2609,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_2610,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_2611,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_2612,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16573,plain,
( ( ( sum @ ( sum @ n9 @ n9 ) @ ( sum @ n7 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16520,zip_derived_cl38,zip_derived_cl12,zip_derived_cl38,zip_derived_cl12]) ).
thf(zip_derived_cl297_2613,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl247,plain,
( ( sum @ n7 @ n11 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_2614,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18597,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ n20 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16573,zip_derived_cl297,zip_derived_cl247,zip_derived_cl299]) ).
thf(zip_derived_cl19375,plain,
( ( ( sum @ n18 @ n18 )
!= n10 )
<= ( ( sk__1 = n8 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl590,zip_derived_cl18597]) ).
thf(zip_derived_cl540_2615,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19376,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n8 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19375,zip_derived_cl540]) ).
thf('286',plain,
( ( sk__1 != n8 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19376]) ).
thf(zip_derived_cl569_2616,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102_2617,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_2618,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16530,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_cl1102,zip_derived_cl16503]) ).
thf(zip_derived_cl48_2619,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_2620,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_2621,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_2622,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16583,plain,
( ( ( sum @ ( sum @ n19 @ n9 ) @ ( sum @ n7 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16530,zip_derived_cl48,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22]) ).
thf(zip_derived_cl257,plain,
( ( sum @ n7 @ n21 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18607,plain,
( ( ( sum @ ( sum @ n19 @ n9 ) @ n2 )
!= ( sum @ ( sum @ n19 @ n21 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16583,zip_derived_cl257]) ).
thf(zip_derived_cl19166,plain,
( ( ( sum @ ( sum @ n19 @ n9 ) @ n2 )
!= ( sum @ n14 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl18607]) ).
thf(zip_derived_cl557,plain,
( ( sum @ n19 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_2623,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_2624,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19181,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n8 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19166,zip_derived_cl557,zip_derived_cl108,zip_derived_cl434]) ).
thf('287',plain,
( ( sk__1 != n8 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19181]) ).
thf(zip_derived_cl542_2625,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1101_2626,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_2627,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16529,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_cl1101,zip_derived_cl16503]) ).
thf(zip_derived_cl47_2628,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_2629,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_2630,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_2631,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16582,plain,
( ( ( sum @ ( sum @ n18 @ n9 ) @ ( sum @ n7 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16529,zip_derived_cl47,zip_derived_cl21,zip_derived_cl47,zip_derived_cl21]) ).
thf(zip_derived_cl256,plain,
( ( sum @ n7 @ n20 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18606,plain,
( ( ( sum @ ( sum @ n18 @ n9 ) @ n1 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16582,zip_derived_cl256]) ).
thf(zip_derived_cl18900,plain,
( ( ( sum @ ( sum @ n18 @ n9 ) @ n1 )
!= ( sum @ n12 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl18606]) ).
thf(zip_derived_cl531,plain,
( ( sum @ n18 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_2632,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl382_2633,plain,
( ( sum @ n12 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18913,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n8 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18900,zip_derived_cl531,zip_derived_cl81,zip_derived_cl382]) ).
thf('288',plain,
( ( sk__1 != n8 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18913]) ).
thf(zip_derived_cl538_2634,plain,
( ( sum @ n18 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1091_2635,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_2636,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16519,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_cl1091,zip_derived_cl16503]) ).
thf(zip_derived_cl37_2637,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_2638,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl246,plain,
( ( sum @ n7 @ n10 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_2639,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_2640,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16572,plain,
( ( ( sum @ ( sum @ n8 @ n9 ) @ n17 )
!= ( sum @ ( sum @ n8 @ n10 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16519,zip_derived_cl37,zip_derived_cl11,zip_derived_cl246,zip_derived_cl37,zip_derived_cl11]) ).
thf(zip_derived_cl271,plain,
( ( sum @ n8 @ n9 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_2641,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17699,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ n18 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16572,zip_derived_cl271,zip_derived_cl272]) ).
thf(zip_derived_cl18850,plain,
( ( ( sum @ n17 @ n17 )
!= n8 )
<= ( ( sk__1 = n8 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl538,zip_derived_cl17699]) ).
thf(zip_derived_cl513_2642,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18851,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n8 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18850,zip_derived_cl513]) ).
thf('289',plain,
( ( sk__1 != n8 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18851]) ).
thf(zip_derived_cl515_2643,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1100_2644,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_2645,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16528,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_cl1100,zip_derived_cl16503]) ).
thf(zip_derived_cl46_2646,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_2647,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_2648,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_2649,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16581,plain,
( ( ( sum @ ( sum @ n17 @ n9 ) @ ( sum @ n7 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16528,zip_derived_cl46,zip_derived_cl20,zip_derived_cl46,zip_derived_cl20]) ).
thf(zip_derived_cl505,plain,
( ( sum @ n17 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl255,plain,
( ( sum @ n7 @ n19 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2650,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18605,plain,
( ( n0
!= ( sum @ ( sum @ n17 @ n19 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16581,zip_derived_cl505,zip_derived_cl255,zip_derived_cl54]) ).
thf(zip_derived_cl18659,plain,
( ( n0
!= ( sum @ n10 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl18605]) ).
thf(zip_derived_cl330_2651,plain,
( ( sum @ n10 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18668,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n8 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18659,zip_derived_cl330]) ).
thf('290',plain,
( ( sk_ != n18 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18668]) ).
thf(zip_derived_cl459_2652,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1089_2653,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_2654,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16517,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_cl1089,zip_derived_cl16503]) ).
thf(zip_derived_cl35_2655,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2656,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2657,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2658,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_2659,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16569,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ n14 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16517,zip_derived_cl35,zip_derived_cl219,zip_derived_cl9,zip_derived_cl244,zip_derived_cl35,zip_derived_cl9,zip_derived_cl218]) ).
thf(zip_derived_cl18181,plain,
( ( n4
!= ( sum @ n14 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl16569]) ).
thf(zip_derived_cl434_2660,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18190,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n8 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18181,zip_derived_cl434]) ).
thf('291',plain,
( ( sk__1 != n8 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18190]) ).
thf(zip_derived_cl351_2661,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1085_2662,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_2663,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16513,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_cl1085,zip_derived_cl16503]) ).
thf(zip_derived_cl31_2664,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2665,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl240,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_2666,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2667,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_2668,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_2669,plain,
( ( sum @ n6 @ n16 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16565,plain,
( ( ( sum @ n11 @ n11 )
!= n22 )
<= ( ( sk__1 = n8 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16513,zip_derived_cl31,zip_derived_cl115,zip_derived_cl5,zip_derived_cl240,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110,zip_derived_cl226]) ).
thf(zip_derived_cl17394,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n8 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl16565]) ).
thf('292',plain,
( ( sk_ != n3 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17394]) ).
thf(zip_derived_cl324_2670,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1084_2671,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_2672,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16512,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_cl1084,zip_derived_cl16503]) ).
thf(zip_derived_cl30_2673,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2674,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl239,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2675,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2676,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_2677,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174_2678,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16564,plain,
( ( ( sum @ n10 @ n10 )
!= n20 )
<= ( ( sk__1 = n8 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16512,zip_derived_cl30,zip_derived_cl89,zip_derived_cl4,zip_derived_cl239,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl174]) ).
thf(zip_derived_cl17169,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n8 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl16564]) ).
thf('293',plain,
( ( sk__1 != n8 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17169]) ).
thf(zip_derived_cl1090_2679,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl3308_2680,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_cl1156,zip_derived_cl10,zip_derived_cl10]) ).
thf(zip_derived_cl3317,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_cl1090,zip_derived_cl3308]) ).
thf(zip_derived_cl10_2681,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_2682,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3369,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_cl3317,zip_derived_cl10,zip_derived_cl10]) ).
thf('294',plain,
( ( sk__1 != n8 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3369]) ).
thf(zip_derived_cl1082_2683,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_2684,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20552,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1082,zip_derived_cl20403]) ).
thf(zip_derived_cl28_2685,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2686,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2687,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2688,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20604,plain,
( ( ( sum @ ( sum @ n25 @ n0 ) @ ( sum @ n24 @ n1 ) )
!= ( sum @ ( sum @ n25 @ n1 ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20552,zip_derived_cl28,zip_derived_cl2,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl704_2689,plain,
( ( sum @ n25 @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl679_2690,plain,
( ( sum @ n24 @ n1 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729_2691,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_2692,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2693,plain,
( ( sum @ n0 @ n24 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21297,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n25 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20604,zip_derived_cl704,zip_derived_cl679,zip_derived_cl729,zip_derived_cl705,zip_derived_cl78]) ).
thf('295',plain,
( ( sk_ != n0 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21297]) ).
thf(zip_derived_cl727_2694,plain,
( ( sum @ n25 @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_2695,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_2696,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19775,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1082,zip_derived_cl19729]) ).
thf(zip_derived_cl28_2697,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2698,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl601_2699,plain,
( ( sum @ n21 @ n1 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2700,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2701,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19827,plain,
( ( ( sum @ ( sum @ n25 @ n23 ) @ n22 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19775,zip_derived_cl28,zip_derived_cl2,zip_derived_cl601,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl21101,plain,
( ( ( sum @ n22 @ n22 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl19827]) ).
thf(zip_derived_cl648_2702,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_2703,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21102,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n22 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21101,zip_derived_cl648,zip_derived_cl705,zip_derived_cl72]) ).
thf('296',plain,
( ( sk_ != n0 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21102]) ).
thf(zip_derived_cl726_2704,plain,
( ( sum @ n25 @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_2705,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_2706,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19480,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1082,zip_derived_cl19441]) ).
thf(zip_derived_cl28_2707,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2708,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl575_2709,plain,
( ( sum @ n20 @ n1 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2710,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2711,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19532,plain,
( ( ( sum @ ( sum @ n25 @ n22 ) @ n21 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19480,zip_derived_cl28,zip_derived_cl2,zip_derived_cl575,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl21090,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl19532]) ).
thf(zip_derived_cl621_2712,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_2713,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_2714,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21091,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n21 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21090,zip_derived_cl621,zip_derived_cl705,zip_derived_cl70]) ).
thf('297',plain,
( ( sk_ != n0 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21091]) ).
thf(zip_derived_cl725_2715,plain,
( ( sum @ n25 @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_2716,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_2717,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19193,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1082,zip_derived_cl19158]) ).
thf(zip_derived_cl28_2718,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2719,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl549_2720,plain,
( ( sum @ n19 @ n1 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2721,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2722,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19245,plain,
( ( ( sum @ ( sum @ n25 @ n21 ) @ n20 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19193,zip_derived_cl28,zip_derived_cl2,zip_derived_cl549,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl21081,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl725,zip_derived_cl19245]) ).
thf(zip_derived_cl594_2723,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_2724,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21082,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n20 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21081,zip_derived_cl594,zip_derived_cl705,zip_derived_cl68]) ).
thf('298',plain,
( ( sk_ != n0 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21082]) ).
thf(zip_derived_cl724_2725,plain,
( ( sum @ n25 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_2726,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_2727,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18923,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1082,zip_derived_cl18892]) ).
thf(zip_derived_cl28_2728,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2729,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl523_2730,plain,
( ( sum @ n18 @ n1 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2731,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2732,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18975,plain,
( ( ( sum @ ( sum @ n25 @ n20 ) @ n19 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18923,zip_derived_cl28,zip_derived_cl2,zip_derived_cl523,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl21070,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl18975]) ).
thf(zip_derived_cl567_2733,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_2734,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_2735,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21071,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n19 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21070,zip_derived_cl567,zip_derived_cl705,zip_derived_cl66]) ).
thf('299',plain,
( ( sk_ != n0 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21071]) ).
thf(zip_derived_cl723_2736,plain,
( ( sum @ n25 @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_2737,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_2738,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18670,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1082,zip_derived_cl18650]) ).
thf(zip_derived_cl28_2739,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2740,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl497_2741,plain,
( ( sum @ n17 @ n1 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2742,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2743,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18722,plain,
( ( ( sum @ ( sum @ n25 @ n19 ) @ n18 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18670,zip_derived_cl28,zip_derived_cl2,zip_derived_cl497,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl21061,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl18722]) ).
thf(zip_derived_cl540_2744,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_2745,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21062,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n18 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21061,zip_derived_cl540,zip_derived_cl705,zip_derived_cl64]) ).
thf('300',plain,
( ( sk_ != n0 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21062]) ).
thf(zip_derived_cl722_2746,plain,
( ( sum @ n25 @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_2747,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_2748,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18442,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1082,zip_derived_cl18424]) ).
thf(zip_derived_cl28_2749,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2750,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl471_2751,plain,
( ( sum @ n16 @ n1 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2752,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2753,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18494,plain,
( ( ( sum @ ( sum @ n25 @ n18 ) @ n17 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18442,zip_derived_cl28,zip_derived_cl2,zip_derived_cl471,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl21050,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl18494]) ).
thf(zip_derived_cl513_2754,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_2755,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_2756,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21051,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n17 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21050,zip_derived_cl513,zip_derived_cl705,zip_derived_cl62]) ).
thf('301',plain,
( ( sk_ != n0 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21051]) ).
thf(zip_derived_cl720_2757,plain,
( ( sum @ n25 @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_2758,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_2759,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl17985,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1082,zip_derived_cl17975]) ).
thf(zip_derived_cl28_2760,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2761,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl419_2762,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2763,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2764,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18037,plain,
( ( ( sum @ ( sum @ n25 @ n16 ) @ n15 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17985,zip_derived_cl28,zip_derived_cl2,zip_derived_cl419,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl21030,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl18037]) ).
thf(zip_derived_cl459_2765,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_2766,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21031,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n15 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21030,zip_derived_cl459,zip_derived_cl705,zip_derived_cl58]) ).
thf('302',plain,
( ( sk_ != n0 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21031]) ).
thf(zip_derived_cl719_2767,plain,
( ( sum @ n25 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_2768,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_2769,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17763,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1082,zip_derived_cl17756]) ).
thf(zip_derived_cl28_2770,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2771,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl393_2772,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2773,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2774,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17815,plain,
( ( ( sum @ ( sum @ n25 @ n15 ) @ n14 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17763,zip_derived_cl28,zip_derived_cl2,zip_derived_cl393,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl21021,plain,
( ( ( sum @ n14 @ n14 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl17815]) ).
thf(zip_derived_cl432_2775,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_2776,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_2777,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21022,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n14 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21021,zip_derived_cl432,zip_derived_cl705,zip_derived_cl56]) ).
thf('303',plain,
( ( sk_ != n0 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21022]) ).
thf(zip_derived_cl718_2778,plain,
( ( sum @ n25 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_2779,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_2780,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17593,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1082,zip_derived_cl17592]) ).
thf(zip_derived_cl28_2781,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2782,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl367_2783,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2784,plain,
( ( pred @ n0 )
= n25 ),
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_cl17645,plain,
( ( ( sum @ ( sum @ n25 @ n14 ) @ n13 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17593,zip_derived_cl28,zip_derived_cl2,zip_derived_cl367,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl21010,plain,
( ( ( sum @ n13 @ n13 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl17645]) ).
thf(zip_derived_cl405_2786,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_2787,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2788,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21011,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n13 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21010,zip_derived_cl405,zip_derived_cl705,zip_derived_cl54]) ).
thf('304',plain,
( ( sk_ != n0 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21011]) ).
thf(zip_derived_cl716_2789,plain,
( ( sum @ n25 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_2790,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_2791,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17184,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1082,zip_derived_cl17181]) ).
thf(zip_derived_cl28_2792,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2793,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl315_2794,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2795,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2796,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17236,plain,
( ( ( sum @ ( sum @ n25 @ n12 ) @ n11 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17184,zip_derived_cl28,zip_derived_cl2,zip_derived_cl315,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl20990,plain,
( ( ( sum @ n11 @ n11 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl716,zip_derived_cl17236]) ).
thf(zip_derived_cl351_2797,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_2798,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2799,plain,
( ( sum @ n0 @ n22 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20991,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n11 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20990,zip_derived_cl351,zip_derived_cl705,zip_derived_cl76]) ).
thf('305',plain,
( ( sk_ != n0 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20991]) ).
thf(zip_derived_cl715_2800,plain,
( ( sum @ n25 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_2801,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_2802,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16967,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_cl1082,zip_derived_cl16960]) ).
thf(zip_derived_cl28_2803,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2804,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl289_2805,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2806,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2807,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17019,plain,
( ( ( sum @ ( sum @ n25 @ n11 ) @ n10 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16967,zip_derived_cl28,zip_derived_cl2,zip_derived_cl289,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl20981,plain,
( ( ( sum @ n10 @ n10 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl715,zip_derived_cl17019]) ).
thf(zip_derived_cl324_2808,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_2809,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20982,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n10 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20981,zip_derived_cl324,zip_derived_cl705,zip_derived_cl74]) ).
thf('306',plain,
( ( sk_ != n0 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20982]) ).
thf(zip_derived_cl714_2810,plain,
( ( sum @ n25 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_2811,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_2812,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16733,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_cl1082,zip_derived_cl16730]) ).
thf(zip_derived_cl28_2813,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2814,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl263_2815,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2816,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2817,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16785,plain,
( ( ( sum @ ( sum @ n25 @ n10 ) @ n9 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16733,zip_derived_cl28,zip_derived_cl2,zip_derived_cl263,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl20974,plain,
( ( ( sum @ n9 @ n9 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl714,zip_derived_cl16785]) ).
thf(zip_derived_cl297_2818,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_2819,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2820,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20975,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n9 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20974,zip_derived_cl297,zip_derived_cl705,zip_derived_cl72]) ).
thf('307',plain,
( ( sk_ != n0 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20975]) ).
thf(zip_derived_cl712_2821,plain,
( ( sum @ n25 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_2822,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_2823,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16282,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_cl1082,zip_derived_cl16281]) ).
thf(zip_derived_cl28_2824,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2825,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl211_2826,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2827,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2828,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16334,plain,
( ( ( sum @ ( sum @ n25 @ n8 ) @ n7 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16282,zip_derived_cl28,zip_derived_cl2,zip_derived_cl211,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl20954,plain,
( ( ( sum @ n7 @ n7 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl16334]) ).
thf(zip_derived_cl243_2829,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_2830,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_2831,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20955,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n7 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20954,zip_derived_cl243,zip_derived_cl705,zip_derived_cl68]) ).
thf('308',plain,
( ( sk_ != n0 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20955]) ).
thf(zip_derived_cl710_2832,plain,
( ( sum @ n25 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_2833,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_2834,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15179,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_cl1082,zip_derived_cl15178]) ).
thf(zip_derived_cl28_2835,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2836,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl159_2837,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2838,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2839,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15231,plain,
( ( ( sum @ ( sum @ n25 @ n6 ) @ n5 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15179,zip_derived_cl28,zip_derived_cl2,zip_derived_cl159,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl20940,plain,
( ( ( sum @ n5 @ n5 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl710,zip_derived_cl15231]) ).
thf(zip_derived_cl189_2840,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_2841,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_2842,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20941,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n5 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20940,zip_derived_cl189,zip_derived_cl705,zip_derived_cl64]) ).
thf('309',plain,
( ( sk_ != n0 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20941]) ).
thf(zip_derived_cl707_2843,plain,
( ( sum @ n25 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_2844,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_2845,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13385,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_cl1082,zip_derived_cl13384]) ).
thf(zip_derived_cl28_2846,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2847,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_2848,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2849,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2850,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13437,plain,
( ( ( sum @ ( sum @ n25 @ n3 ) @ n2 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13385,zip_derived_cl28,zip_derived_cl2,zip_derived_cl81,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl20931,plain,
( ( ( sum @ n2 @ n2 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl707,zip_derived_cl13437]) ).
thf(zip_derived_cl108_2851,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_2852,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_2853,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20932,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n2 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20931,zip_derived_cl108,zip_derived_cl705,zip_derived_cl58]) ).
thf('310',plain,
( ( sk_ != n0 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20932]) ).
thf(zip_derived_cl706,plain,
( ( sum @ n25 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_2854,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_2855,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13162,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_cl1082,zip_derived_cl13161]) ).
thf(zip_derived_cl28_2856,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2857,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2858,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2859,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13214,plain,
( ( ( sum @ ( sum @ n25 @ n2 ) @ n1 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13162,zip_derived_cl28,zip_derived_cl2,zip_derived_cl55,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl20820,plain,
( ( ( sum @ n1 @ n1 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl13214]) ).
thf(zip_derived_cl81_2860,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_2861,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_2862,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20821,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n1 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20820,zip_derived_cl81,zip_derived_cl705,zip_derived_cl56]) ).
thf('311',plain,
( ( sk_ != n0 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20821]) ).
thf(zip_derived_cl729_2863,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1085_2864,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_2865,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19778,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1085,zip_derived_cl19729]) ).
thf(zip_derived_cl31_2866,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl129,plain,
( ( sum @ n2 @ n23 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2867,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl604,plain,
( ( sum @ n21 @ n4 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_2868,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2869,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_2870,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228,plain,
( ( sum @ n6 @ n18 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19830,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n22 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19778,zip_derived_cl31,zip_derived_cl129,zip_derived_cl5,zip_derived_cl604,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110,zip_derived_cl228]) ).
thf(zip_derived_cl21140,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n22 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl19830]) ).
thf('312',plain,
( ( sk_ != n3 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21140]) ).
thf(zip_derived_cl702_2871,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1084_2872,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_2873,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19777,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1084,zip_derived_cl19729]) ).
thf(zip_derived_cl30_2874,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103_2875,plain,
( ( sum @ n1 @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2876,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl603_2877,plain,
( ( sum @ n21 @ n3 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2878,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2879,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_2880,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_2881,plain,
( ( sum @ n4 @ n18 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19829,plain,
( ( ( sum @ n24 @ n24 )
!= n22 )
<= ( ( sk__1 = n22 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19777,zip_derived_cl30,zip_derived_cl103,zip_derived_cl4,zip_derived_cl603,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl176]) ).
thf(zip_derived_cl20787,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n22 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl19829]) ).
thf('313',plain,
( ( sk__1 != n22 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20787]) ).
thf(zip_derived_cl677_2882,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_2883,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_2884,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19799,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl19729]) ).
thf(zip_derived_cl52_2885,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_2886,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_2887,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_2888,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19868,plain,
( ( ( sum @ ( sum @ n23 @ n23 ) @ ( sum @ n21 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19799,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl625_2889,plain,
( ( sum @ n21 @ n25 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20284,plain,
( ( ( sum @ ( sum @ n23 @ n23 ) @ n20 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19868,zip_derived_cl625]) ).
thf(zip_derived_cl20355,plain,
( ( ( sum @ ( sum @ n23 @ n23 ) @ n20 )
!= ( sum @ n22 @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl20284]) ).
thf(zip_derived_cl675_2890,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl594_2891,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl644_2892,plain,
( ( sum @ n22 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20401,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n22 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20355,zip_derived_cl675,zip_derived_cl594,zip_derived_cl644]) ).
thf('314',plain,
( ( sk__1 != n22 )
| ( sk_ != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20401]) ).
thf(zip_derived_cl644_2893,plain,
( ( sum @ n22 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_2894,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_2895,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19786,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1093,zip_derived_cl19729]) ).
thf(zip_derived_cl39_2896,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl337_2897,plain,
( ( sum @ n10 @ n23 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2898,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl612_2899,plain,
( ( sum @ n21 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_2900,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_2901,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2902,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_2903,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19845,plain,
( ( n14
!= ( sum @ n22 @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19786,zip_derived_cl39,zip_derived_cl337,zip_derived_cl13,zip_derived_cl612,zip_derived_cl243,zip_derived_cl39,zip_derived_cl13,zip_derived_cl326]) ).
thf(zip_derived_cl19955,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n22 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl644,zip_derived_cl19845]) ).
thf('315',plain,
( ( sk__1 != n22 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19955]) ).
thf(zip_derived_cl1103_2904,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_2905,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19796,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl19729]) ).
thf(zip_derived_cl49_2906,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl597_2907,plain,
( ( sum @ n20 @ n23 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_2908,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl622_2909,plain,
( ( sum @ n21 @ n22 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl513_2910,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_2911,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_2912,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_2913,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_2914,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19863,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n22 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19796,zip_derived_cl49,zip_derived_cl597,zip_derived_cl23,zip_derived_cl622,zip_derived_cl513,zip_derived_cl49,zip_derived_cl23,zip_derived_cl596,zip_derived_cl488]) ).
thf('316',plain,
( ( sk__1 != n22 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19863]) ).
thf(zip_derived_cl1102_2915,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_2916,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19795,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1102,zip_derived_cl19729]) ).
thf(zip_derived_cl48_2917,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl571_2918,plain,
( ( sum @ n19 @ n23 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_2919,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl621_2920,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486_2921,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_2922,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_2923,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_2924,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436,plain,
( ( sum @ n14 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19861,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n22 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19795,zip_derived_cl48,zip_derived_cl571,zip_derived_cl22,zip_derived_cl621,zip_derived_cl486,zip_derived_cl48,zip_derived_cl22,zip_derived_cl569,zip_derived_cl436]) ).
thf('317',plain,
( ( sk__1 != n22 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19861]) ).
thf(zip_derived_cl1101_2925,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_2926,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19794,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1101,zip_derived_cl19729]) ).
thf(zip_derived_cl47_2927,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl545_2928,plain,
( ( sum @ n18 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_2929,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl620_2930,plain,
( ( sum @ n21 @ n20 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459_2931,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_2932,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_2933,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_2934,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_2935,plain,
( ( sum @ n12 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19859,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n22 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19794,zip_derived_cl47,zip_derived_cl545,zip_derived_cl21,zip_derived_cl620,zip_derived_cl459,zip_derived_cl47,zip_derived_cl21,zip_derived_cl542,zip_derived_cl384]) ).
thf('318',plain,
( ( sk__1 != n22 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19859]) ).
thf(zip_derived_cl1100_2936,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_2937,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19793,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1100,zip_derived_cl19729]) ).
thf(zip_derived_cl46_2938,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl519_2939,plain,
( ( sum @ n17 @ n23 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_2940,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl619_2941,plain,
( ( sum @ n21 @ n19 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_2942,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_2943,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_2944,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_2945,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_2946,plain,
( ( sum @ n10 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19857,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n22 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19793,zip_derived_cl46,zip_derived_cl519,zip_derived_cl20,zip_derived_cl619,zip_derived_cl432,zip_derived_cl46,zip_derived_cl20,zip_derived_cl515,zip_derived_cl332]) ).
thf('319',plain,
( ( sk_ != n18 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19857]) ).
thf(zip_derived_cl1099_2947,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_2948,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19792,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1099,zip_derived_cl19729]) ).
thf(zip_derived_cl45_2949,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl493_2950,plain,
( ( sum @ n16 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_2951,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl618_2952,plain,
( ( sum @ n21 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_2953,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_2954,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_2955,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_2956,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280_2957,plain,
( ( sum @ n8 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19855,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n22 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19792,zip_derived_cl45,zip_derived_cl493,zip_derived_cl19,zip_derived_cl618,zip_derived_cl405,zip_derived_cl45,zip_derived_cl19,zip_derived_cl488,zip_derived_cl280]) ).
thf('320',plain,
( ( sk__1 != n22 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19855]) ).
thf(zip_derived_cl1098_2958,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_2959,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19791,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl19729]) ).
thf(zip_derived_cl44_2960,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl467_2961,plain,
( ( sum @ n15 @ n23 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_2962,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl617_2963,plain,
( ( sum @ n21 @ n17 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_2964,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_2965,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_2966,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_2967,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228_2968,plain,
( ( sum @ n6 @ n18 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19853,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n22 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19791,zip_derived_cl44,zip_derived_cl467,zip_derived_cl18,zip_derived_cl617,zip_derived_cl378,zip_derived_cl44,zip_derived_cl18,zip_derived_cl461,zip_derived_cl228]) ).
thf('321',plain,
( ( sk__1 != n22 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19853]) ).
thf(zip_derived_cl1097_2969,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_2970,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19790,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1097,zip_derived_cl19729]) ).
thf(zip_derived_cl43_2971,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl441_2972,plain,
( ( sum @ n14 @ n23 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_2973,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl616_2974,plain,
( ( sum @ n21 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_2975,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_2976,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_2977,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_2978,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_2979,plain,
( ( sum @ n4 @ n18 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19851,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n22 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19790,zip_derived_cl43,zip_derived_cl441,zip_derived_cl17,zip_derived_cl616,zip_derived_cl351,zip_derived_cl43,zip_derived_cl17,zip_derived_cl434,zip_derived_cl176]) ).
thf('322',plain,
( ( sk__1 != n22 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19851]) ).
thf(zip_derived_cl1096_2980,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_2981,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19789,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1096,zip_derived_cl19729]) ).
thf(zip_derived_cl42_2982,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl415_2983,plain,
( ( sum @ n13 @ n23 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_2984,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl615_2985,plain,
( ( sum @ n21 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_2986,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_2987,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_2988,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_2989,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124_2990,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19849,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n22 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19789,zip_derived_cl42,zip_derived_cl415,zip_derived_cl16,zip_derived_cl615,zip_derived_cl324,zip_derived_cl42,zip_derived_cl16,zip_derived_cl407,zip_derived_cl124]) ).
thf('323',plain,
( ( sk__1 != n22 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19849]) ).
thf(zip_derived_cl1095_2991,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_2992,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19788,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1095,zip_derived_cl19729]) ).
thf(zip_derived_cl41_2993,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl389_2994,plain,
( ( sum @ n12 @ n23 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_2995,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl614_2996,plain,
( ( sum @ n21 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_2997,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_2998,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_2999,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_3000,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_3001,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19847,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n22 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19788,zip_derived_cl41,zip_derived_cl389,zip_derived_cl15,zip_derived_cl614,zip_derived_cl297,zip_derived_cl41,zip_derived_cl15,zip_derived_cl380,zip_derived_cl72]) ).
thf('324',plain,
( ( sk__1 != n22 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19847]) ).
thf(zip_derived_cl1092_3002,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_3003,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19785,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1092,zip_derived_cl19729]) ).
thf(zip_derived_cl38_3004,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl311_3005,plain,
( ( sum @ n9 @ n23 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3006,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl611_3007,plain,
( ( sum @ n21 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_3008,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_3009,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3010,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_3011,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl592_3012,plain,
( ( sum @ n20 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19843,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n22 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19785,zip_derived_cl38,zip_derived_cl311,zip_derived_cl12,zip_derived_cl611,zip_derived_cl216,zip_derived_cl38,zip_derived_cl12,zip_derived_cl299,zip_derived_cl592]) ).
thf('325',plain,
( ( sk__1 != n22 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19843]) ).
thf(zip_derived_cl1091_3013,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_3014,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19784,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl19729]) ).
thf(zip_derived_cl37_3015,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl285_3016,plain,
( ( sum @ n8 @ n23 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3017,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_3018,plain,
( ( sum @ n21 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_3019,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3020,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3021,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_3022,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl540_3023,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19841,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n22 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19784,zip_derived_cl37,zip_derived_cl285,zip_derived_cl11,zip_derived_cl610,zip_derived_cl189,zip_derived_cl37,zip_derived_cl11,zip_derived_cl272,zip_derived_cl540]) ).
thf('326',plain,
( ( sk__1 != n22 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19841]) ).
thf(zip_derived_cl1090_3024,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_3025,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19783,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1090,zip_derived_cl19729]) ).
thf(zip_derived_cl36_3026,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl259_3027,plain,
( ( sum @ n7 @ n23 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3028,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl609_3029,plain,
( ( sum @ n21 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3030,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3031,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3032,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_3033,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_3034,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19839,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n22 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19783,zip_derived_cl36,zip_derived_cl259,zip_derived_cl10,zip_derived_cl609,zip_derived_cl162,zip_derived_cl36,zip_derived_cl10,zip_derived_cl245,zip_derived_cl488]) ).
thf('327',plain,
( ( sk__1 != n22 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19839]) ).
thf(zip_derived_cl1089_3035,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_3036,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19782,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1089,zip_derived_cl19729]) ).
thf(zip_derived_cl35_3037,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl233_3038,plain,
( ( sum @ n6 @ n23 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_3039,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_3040,plain,
( ( sum @ n21 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_3041,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_3042,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_3043,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_3044,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436_3045,plain,
( ( sum @ n14 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19837,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n22 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19782,zip_derived_cl35,zip_derived_cl233,zip_derived_cl9,zip_derived_cl608,zip_derived_cl135,zip_derived_cl35,zip_derived_cl9,zip_derived_cl218,zip_derived_cl436]) ).
thf('328',plain,
( ( sk__1 != n22 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19837]) ).
thf(zip_derived_cl729_3046,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1090_3047,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_3048,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18450,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1090,zip_derived_cl18424]) ).
thf(zip_derived_cl36_3049,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl254_3050,plain,
( ( sum @ n7 @ n18 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3051,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl479_3052,plain,
( ( sum @ n16 @ n9 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3053,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3054,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_3055,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl478_3056,plain,
( ( sum @ n16 @ n8 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18502,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n17 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18450,zip_derived_cl36,zip_derived_cl254,zip_derived_cl10,zip_derived_cl479,zip_derived_cl36,zip_derived_cl10,zip_derived_cl245,zip_derived_cl478]) ).
thf(zip_derived_cl21126,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n17 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl18502]) ).
thf('329',plain,
( ( sk_ != n8 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21126]) ).
thf(zip_derived_cl1090_3057,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_3058,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20560,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1090,zip_derived_cl20403]) ).
thf(zip_derived_cl36_3059,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl236_3060,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3061,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3062,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3063,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_3064,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl494_3065,plain,
( ( sum @ n16 @ n24 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20612,plain,
( ( ( sum @ n7 @ ( sum @ n24 @ n9 ) )
!= n14 )
<= ( ( sk__1 = n25 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20560,zip_derived_cl36,zip_derived_cl236,zip_derived_cl10,zip_derived_cl36,zip_derived_cl10,zip_derived_cl245,zip_derived_cl494]) ).
thf(zip_derived_cl687_3066,plain,
( ( sum @ n24 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_3067,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21004,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n25 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20612,zip_derived_cl687,zip_derived_cl243]) ).
thf('330',plain,
( ( sk_ != n8 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21004]) ).
thf(zip_derived_cl675_3068,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1090_3069,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_3070,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl17993,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1090,zip_derived_cl17975]) ).
thf(zip_derived_cl36_3071,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl252_3072,plain,
( ( sum @ n7 @ n16 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3073,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl427_3074,plain,
( ( sum @ n14 @ n9 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3075,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3076,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_3077,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18045,plain,
( ( ( sum @ n23 @ n23 )
!= ( sum @ n16 @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17993,zip_derived_cl36,zip_derived_cl252,zip_derived_cl10,zip_derived_cl427,zip_derived_cl36,zip_derived_cl10,zip_derived_cl245]) ).
thf(zip_derived_cl20288,plain,
( ( n20
!= ( sum @ n16 @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl18045]) ).
thf(zip_derived_cl474_3078,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20312,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n15 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20288,zip_derived_cl474]) ).
thf('331',plain,
( ( sk_ != n8 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20312]) ).
thf(zip_derived_cl648_3079,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1090_3080,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_3081,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17771,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1090,zip_derived_cl17756]) ).
thf(zip_derived_cl36_3082,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl251_3083,plain,
( ( sum @ n7 @ n15 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3084,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl401_3085,plain,
( ( sum @ n13 @ n9 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3086,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3087,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_3088,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17823,plain,
( ( ( sum @ n22 @ n22 )
!= ( sum @ n16 @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17771,zip_derived_cl36,zip_derived_cl251,zip_derived_cl10,zip_derived_cl401,zip_derived_cl36,zip_derived_cl10,zip_derived_cl245]) ).
thf(zip_derived_cl19989,plain,
( ( n18
!= ( sum @ n16 @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl17823]) ).
thf(zip_derived_cl472,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20010,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n14 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19989,zip_derived_cl472]) ).
thf('332',plain,
( ( sk_ != n8 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20010]) ).
thf(zip_derived_cl621_3089,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1090_3090,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_3091,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17601,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1090,zip_derived_cl17592]) ).
thf(zip_derived_cl36_3092,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl250_3093,plain,
( ( sum @ n7 @ n14 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3094,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl375_3095,plain,
( ( sum @ n12 @ n9 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3096,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3097,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_3098,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17653,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ n16 @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17601,zip_derived_cl36,zip_derived_cl250,zip_derived_cl10,zip_derived_cl375,zip_derived_cl36,zip_derived_cl10,zip_derived_cl245]) ).
thf(zip_derived_cl19691,plain,
( ( n16
!= ( sum @ n16 @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl17653]) ).
thf(zip_derived_cl470_3099,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19711,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n13 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19691,zip_derived_cl470]) ).
thf('333',plain,
( ( sk_ != n8 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19711]) ).
thf(zip_derived_cl1090_3100,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_3101,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19488,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1090,zip_derived_cl19441]) ).
thf(zip_derived_cl36_3102,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_3103,plain,
( ( sum @ n7 @ n22 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3104,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl583_3105,plain,
( ( sum @ n20 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_3106,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3107,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3108,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_3109,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486_3110,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19543,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n21 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19488,zip_derived_cl36,zip_derived_cl258,zip_derived_cl10,zip_derived_cl583,zip_derived_cl135,zip_derived_cl36,zip_derived_cl10,zip_derived_cl245,zip_derived_cl486]) ).
thf('334',plain,
( ( sk_ != n8 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19543]) ).
thf(zip_derived_cl1090_3111,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_3112,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19201,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1090,zip_derived_cl19158]) ).
thf(zip_derived_cl36_3113,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl257_3114,plain,
( ( sum @ n7 @ n21 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3115,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl557_3116,plain,
( ( sum @ n19 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_3117,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3118,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3119,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_3120,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl484,plain,
( ( sum @ n16 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19255,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n20 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19201,zip_derived_cl36,zip_derived_cl257,zip_derived_cl10,zip_derived_cl557,zip_derived_cl108,zip_derived_cl36,zip_derived_cl10,zip_derived_cl245,zip_derived_cl484]) ).
thf('335',plain,
( ( sk_ != n8 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19255]) ).
thf(zip_derived_cl567_3121,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1090_3122,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_3123,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17192,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1090,zip_derived_cl17181]) ).
thf(zip_derived_cl36_3124,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl248_3125,plain,
( ( sum @ n7 @ n12 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3126,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl323_3127,plain,
( ( sum @ n10 @ n9 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3128,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3129,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_3130,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17244,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ n16 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17192,zip_derived_cl36,zip_derived_cl248,zip_derived_cl10,zip_derived_cl323,zip_derived_cl36,zip_derived_cl10,zip_derived_cl245]) ).
thf(zip_derived_cl19126,plain,
( ( n12
!= ( sum @ n16 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl17244]) ).
thf(zip_derived_cl492_3131,plain,
( ( sum @ n16 @ n22 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19142,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n11 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19126,zip_derived_cl492]) ).
thf('336',plain,
( ( sk_ != n8 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19142]) ).
thf(zip_derived_cl1090_3132,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_3133,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18931,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1090,zip_derived_cl18892]) ).
thf(zip_derived_cl36_3134,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_3135,plain,
( ( sum @ n7 @ n20 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3136,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl531_3137,plain,
( ( sum @ n18 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_3138,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3139,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3140,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_3141,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_3142,plain,
( ( sum @ n16 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18984,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n19 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18931,zip_derived_cl36,zip_derived_cl256,zip_derived_cl10,zip_derived_cl531,zip_derived_cl81,zip_derived_cl36,zip_derived_cl10,zip_derived_cl245,zip_derived_cl482]) ).
thf('337',plain,
( ( sk_ != n8 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18984]) ).
thf(zip_derived_cl540_3143,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1090_3144,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_3145,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16975,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_cl1090,zip_derived_cl16960]) ).
thf(zip_derived_cl36_3146,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl247_3147,plain,
( ( sum @ n7 @ n11 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3148,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_3149,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3150,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3151,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_3152,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17027,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ n16 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16975,zip_derived_cl36,zip_derived_cl247,zip_derived_cl10,zip_derived_cl297,zip_derived_cl36,zip_derived_cl10,zip_derived_cl245]) ).
thf(zip_derived_cl18863,plain,
( ( n10
!= ( sum @ n16 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl17027]) ).
thf(zip_derived_cl490,plain,
( ( sum @ n16 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18876,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n10 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18863,zip_derived_cl490]) ).
thf('338',plain,
( ( sk_ != n8 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18876]) ).
thf(zip_derived_cl1090_3153,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_3154,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18678,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1090,zip_derived_cl18650]) ).
thf(zip_derived_cl36_3155,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl255_3156,plain,
( ( sum @ n7 @ n19 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3157,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl505_3158,plain,
( ( sum @ n17 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3159,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3160,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3161,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_3162,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480,plain,
( ( sum @ n16 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18730,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n18 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18678,zip_derived_cl36,zip_derived_cl255,zip_derived_cl10,zip_derived_cl505,zip_derived_cl54,zip_derived_cl36,zip_derived_cl10,zip_derived_cl245,zip_derived_cl480]) ).
thf('339',plain,
( ( sk_ != n8 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18730]) ).
thf(zip_derived_cl513_3163,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1090_3164,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_3165,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16741,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_cl1090,zip_derived_cl16730]) ).
thf(zip_derived_cl36_3166,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl246_3167,plain,
( ( sum @ n7 @ n10 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3168,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl271_3169,plain,
( ( sum @ n8 @ n9 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3170,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3171,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_3172,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16793,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ n16 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16741,zip_derived_cl36,zip_derived_cl246,zip_derived_cl10,zip_derived_cl271,zip_derived_cl36,zip_derived_cl10,zip_derived_cl245]) ).
thf(zip_derived_cl18623,plain,
( ( n8
!= ( sum @ n16 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl16793]) ).
thf(zip_derived_cl488_3173,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18635,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n9 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18623,zip_derived_cl488]) ).
thf('340',plain,
( ( sk_ != n8 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18635]) ).
thf(zip_derived_cl1090_3174,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_3175,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16290,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_cl1090,zip_derived_cl16281]) ).
thf(zip_derived_cl36_3176,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3177,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3178,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3179,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16343,plain,
( ( ( sum @ ( sum @ n7 @ n8 ) @ ( sum @ n6 @ n9 ) )
!= ( sum @ ( sum @ n7 @ n9 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16290,zip_derived_cl36,zip_derived_cl10,zip_derived_cl36,zip_derived_cl10]) ).
thf(zip_derived_cl244_3180,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219_3181,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459_3182,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_3183,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl484_3184,plain,
( ( sum @ n16 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18561,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n7 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16343,zip_derived_cl244,zip_derived_cl219,zip_derived_cl459,zip_derived_cl245,zip_derived_cl484]) ).
thf('341',plain,
( ( sk_ != n8 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18561]) ).
thf(zip_derived_cl480_3185,plain,
( ( sum @ n16 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1090_3186,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_3187,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15187,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_cl1090,zip_derived_cl15178]) ).
thf(zip_derived_cl36_3188,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3189,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3190,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3191,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15240,plain,
( ( ( sum @ ( sum @ n7 @ n6 ) @ ( sum @ n4 @ n9 ) )
!= ( sum @ ( sum @ n7 @ n9 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15187,zip_derived_cl36,zip_derived_cl10,zip_derived_cl36,zip_derived_cl10]) ).
thf(zip_derived_cl242_3192,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl167_3193,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_3194,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_3195,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18177,plain,
( ( n0
!= ( sum @ n16 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15240,zip_derived_cl242,zip_derived_cl167,zip_derived_cl405,zip_derived_cl245]) ).
thf(zip_derived_cl18371,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n5 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl18177]) ).
thf('342',plain,
( ( sk_ != n8 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18371]) ).
thf(zip_derived_cl474_3196,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1090_3197,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_3198,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13393,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_cl1090,zip_derived_cl13384]) ).
thf(zip_derived_cl36_3199,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3200,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3201,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3202,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13446,plain,
( ( ( sum @ ( sum @ n7 @ n3 ) @ ( sum @ n1 @ n9 ) )
!= ( sum @ ( sum @ n7 @ n9 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13393,zip_derived_cl36,zip_derived_cl10,zip_derived_cl36,zip_derived_cl10]) ).
thf(zip_derived_cl239_3203,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_3204,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_3205,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_3206,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17896,plain,
( ( n20
!= ( sum @ n16 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13446,zip_derived_cl239,zip_derived_cl89,zip_derived_cl324,zip_derived_cl245]) ).
thf(zip_derived_cl18339,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n2 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl17896]) ).
thf('343',plain,
( ( sk_ != n8 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18339]) ).
thf(zip_derived_cl472_3207,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1090_3208,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_3209,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13170,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_cl1090,zip_derived_cl13161]) ).
thf(zip_derived_cl36_3210,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3211,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3212,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3213,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13223,plain,
( ( ( sum @ ( sum @ n7 @ n2 ) @ ( sum @ n0 @ n9 ) )
!= ( sum @ ( sum @ n7 @ n9 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13170,zip_derived_cl36,zip_derived_cl10,zip_derived_cl36,zip_derived_cl10]) ).
thf(zip_derived_cl238,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_3214,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_3215,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17716,plain,
( ( n18
!= ( sum @ n16 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13223,zip_derived_cl238,zip_derived_cl63,zip_derived_cl297,zip_derived_cl245]) ).
thf(zip_derived_cl18328,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n1 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl17716]) ).
thf('344',plain,
( ( sk_ != n8 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18328]) ).
thf(zip_derived_cl677_3216,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_3217,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_3218,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18947,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl18892]) ).
thf(zip_derived_cl52_3219,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3220,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3221,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3222,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19009,plain,
( ( ( sum @ ( sum @ n23 @ n20 ) @ ( sum @ n18 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18947,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl547_3223,plain,
( ( sum @ n18 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20254,plain,
( ( ( sum @ ( sum @ n23 @ n20 ) @ n17 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19009,zip_derived_cl547]) ).
thf(zip_derived_cl20350,plain,
( ( ( sum @ ( sum @ n23 @ n20 ) @ n17 )
!= ( sum @ n22 @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl20254]) ).
thf(zip_derived_cl672_3224,plain,
( ( sum @ n23 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl513_3225,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl638_3226,plain,
( ( sum @ n22 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20391,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n19 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20350,zip_derived_cl672,zip_derived_cl513,zip_derived_cl638]) ).
thf('345',plain,
( ( sk__1 != n19 )
| ( sk_ != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20391]) ).
thf(zip_derived_cl1103_3227,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_3228,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18944,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl18892]) ).
thf(zip_derived_cl49_3229,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_3230,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_3231,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_3232,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19006,plain,
( ( ( sum @ ( sum @ n20 @ n20 ) @ ( sum @ n18 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18944,zip_derived_cl49,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23]) ).
thf(zip_derived_cl594_3233,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_3234,plain,
( ( sum @ n18 @ n22 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_3235,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_3236,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_3237,plain,
( ( sum @ n16 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20248,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n19 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19006,zip_derived_cl594,zip_derived_cl544,zip_derived_cl432,zip_derived_cl596,zip_derived_cl482]) ).
thf('346',plain,
( ( sk__1 != n19 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20248]) ).
thf(zip_derived_cl1102_3238,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_3239,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18943,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1102,zip_derived_cl18892]) ).
thf(zip_derived_cl48_3240,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3241,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_3242,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3243,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19005,plain,
( ( ( sum @ ( sum @ n19 @ n20 ) @ ( sum @ n18 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18943,zip_derived_cl48,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22]) ).
thf(zip_derived_cl568,plain,
( ( sum @ n19 @ n20 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl543,plain,
( ( sum @ n18 @ n21 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_3244,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_3245,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl430_3246,plain,
( ( sum @ n14 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20246,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n19 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19005,zip_derived_cl568,zip_derived_cl543,zip_derived_cl405,zip_derived_cl569,zip_derived_cl430]) ).
thf('347',plain,
( ( sk__1 != n19 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20246]) ).
thf(zip_derived_cl648_3247,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1085_3248,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_3249,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18926,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1085,zip_derived_cl18892]) ).
thf(zip_derived_cl31_3250,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126,plain,
( ( sum @ n2 @ n20 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3251,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl526_3252,plain,
( ( sum @ n18 @ n4 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_3253,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3254,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_3255,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_3256,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18978,plain,
( ( ( sum @ n22 @ n22 )
!= n18 )
<= ( ( sk__1 = n19 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18926,zip_derived_cl31,zip_derived_cl126,zip_derived_cl5,zip_derived_cl526,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110,zip_derived_cl222]) ).
thf(zip_derived_cl20001,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n19 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl18978]) ).
thf('348',plain,
( ( sk_ != n3 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20001]) ).
thf(zip_derived_cl638_3257,plain,
( ( sum @ n22 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_3258,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_3259,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18934,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1093,zip_derived_cl18892]) ).
thf(zip_derived_cl39_3260,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334_3261,plain,
( ( sum @ n10 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_3262,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl534_3263,plain,
( ( sum @ n18 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3264,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_3265,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_3266,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_3267,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18989,plain,
( ( n8
!= ( sum @ n22 @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18934,zip_derived_cl39,zip_derived_cl334,zip_derived_cl13,zip_derived_cl534,zip_derived_cl162,zip_derived_cl39,zip_derived_cl13,zip_derived_cl326]) ).
thf(zip_derived_cl19937,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n19 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl638,zip_derived_cl18989]) ).
thf('349',plain,
( ( sk__1 != n19 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19937]) ).
thf(zip_derived_cl621_3268,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1084_3269,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_3270,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18925,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1084,zip_derived_cl18892]) ).
thf(zip_derived_cl30_3271,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100,plain,
( ( sum @ n1 @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3272,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl525,plain,
( ( sum @ n18 @ n3 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_3273,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3274,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_3275,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170_3276,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18977,plain,
( ( ( sum @ n21 @ n21 )
!= n16 )
<= ( ( sk__1 = n19 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18925,zip_derived_cl30,zip_derived_cl100,zip_derived_cl4,zip_derived_cl525,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl170]) ).
thf(zip_derived_cl19704,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n19 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl18977]) ).
thf('350',plain,
( ( sk__1 != n19 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19704]) ).
thf(zip_derived_cl586_3277,plain,
( ( sum @ n20 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1092_3278,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_3279,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18933,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1092,zip_derived_cl18892]) ).
thf(zip_derived_cl38_3280,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308,plain,
( ( sum @ n9 @ n20 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3281,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl533,plain,
( ( sum @ n18 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_3282,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_3283,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3284,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_3285,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18988,plain,
( ( n6
!= ( sum @ n20 @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18933,zip_derived_cl38,zip_derived_cl308,zip_derived_cl12,zip_derived_cl533,zip_derived_cl135,zip_derived_cl38,zip_derived_cl12,zip_derived_cl299]) ).
thf(zip_derived_cl19343,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n19 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl18988]) ).
thf('351',plain,
( ( sk__1 != n19 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19343]) ).
thf(zip_derived_cl1100_3286,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_3287,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18941,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1100,zip_derived_cl18892]) ).
thf(zip_derived_cl46_3288,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl516,plain,
( ( sum @ n17 @ n20 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_3289,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl541,plain,
( ( sum @ n18 @ n19 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_3290,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_3291,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_3292,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_3293,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_3294,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19001,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n19 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18941,zip_derived_cl46,zip_derived_cl516,zip_derived_cl20,zip_derived_cl541,zip_derived_cl351,zip_derived_cl46,zip_derived_cl20,zip_derived_cl515,zip_derived_cl326]) ).
thf('352',plain,
( ( sk_ != n18 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19001]) ).
thf(zip_derived_cl1099_3295,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_3296,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18940,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1099,zip_derived_cl18892]) ).
thf(zip_derived_cl45_3297,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl490_3298,plain,
( ( sum @ n16 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3299,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl540_3300,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_3301,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_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_cl488_3304,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl274_3305,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18999,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n19 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18940,zip_derived_cl45,zip_derived_cl490,zip_derived_cl19,zip_derived_cl540,zip_derived_cl324,zip_derived_cl45,zip_derived_cl19,zip_derived_cl488,zip_derived_cl274]) ).
thf('353',plain,
( ( sk__1 != n19 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18999]) ).
thf(zip_derived_cl1098_3306,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_3307,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18939,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl18892]) ).
thf(zip_derived_cl44_3308,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl464_3309,plain,
( ( sum @ n15 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_3310,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl539_3311,plain,
( ( sum @ n18 @ n17 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_3312,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_3313,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_3314,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_3315,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_3316,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18997,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n19 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18939,zip_derived_cl44,zip_derived_cl464,zip_derived_cl18,zip_derived_cl539,zip_derived_cl297,zip_derived_cl44,zip_derived_cl18,zip_derived_cl461,zip_derived_cl222]) ).
thf('354',plain,
( ( sk__1 != n19 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18997]) ).
thf(zip_derived_cl1097_3317,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_3318,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18938,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1097,zip_derived_cl18892]) ).
thf(zip_derived_cl43_3319,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438,plain,
( ( sum @ n14 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_3320,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl538_3321,plain,
( ( sum @ n18 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_3322,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_3323,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_3324,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_3325,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170_3326,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18995,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n19 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18938,zip_derived_cl43,zip_derived_cl438,zip_derived_cl17,zip_derived_cl538,zip_derived_cl270,zip_derived_cl43,zip_derived_cl17,zip_derived_cl434,zip_derived_cl170]) ).
thf('355',plain,
( ( sk__1 != n19 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18995]) ).
thf(zip_derived_cl1096_3327,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_3328,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18937,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1096,zip_derived_cl18892]) ).
thf(zip_derived_cl42_3329,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl412,plain,
( ( sum @ n13 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3330,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl537,plain,
( ( sum @ n18 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_3331,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_3332,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3333,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_3334,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118_3335,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18993,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n19 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18937,zip_derived_cl42,zip_derived_cl412,zip_derived_cl16,zip_derived_cl537,zip_derived_cl243,zip_derived_cl42,zip_derived_cl16,zip_derived_cl407,zip_derived_cl118]) ).
thf('356',plain,
( ( sk__1 != n19 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18993]) ).
thf(zip_derived_cl1095_3336,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_3337,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18936,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1095,zip_derived_cl18892]) ).
thf(zip_derived_cl41_3338,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_3339,plain,
( ( sum @ n12 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3340,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl536_3341,plain,
( ( sum @ n18 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_3342,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_3343,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3344,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_3345,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_3346,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18991,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n19 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18936,zip_derived_cl41,zip_derived_cl386,zip_derived_cl15,zip_derived_cl536,zip_derived_cl216,zip_derived_cl41,zip_derived_cl15,zip_derived_cl380,zip_derived_cl66]) ).
thf('357',plain,
( ( sk__1 != n19 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18991]) ).
thf(zip_derived_cl1091_3347,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_3348,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18932,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl18892]) ).
thf(zip_derived_cl37_3349,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282_3350,plain,
( ( sum @ n8 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3351,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl532_3352,plain,
( ( sum @ n18 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_3353,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3354,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3355,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_3356,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl534_3357,plain,
( ( sum @ n18 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18986,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n19 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18932,zip_derived_cl37,zip_derived_cl282,zip_derived_cl11,zip_derived_cl532,zip_derived_cl108,zip_derived_cl37,zip_derived_cl11,zip_derived_cl272,zip_derived_cl534]) ).
thf('358',plain,
( ( sk__1 != n19 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18986]) ).
thf(zip_derived_cl1089_3358,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_3359,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18930,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1089,zip_derived_cl18892]) ).
thf(zip_derived_cl35_3360,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230,plain,
( ( sum @ n6 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_3361,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl530_3362,plain,
( ( sum @ n18 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3363,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_3364,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_3365,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_3366,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl430_3367,plain,
( ( sum @ n14 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18982,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n19 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18930,zip_derived_cl35,zip_derived_cl230,zip_derived_cl9,zip_derived_cl530,zip_derived_cl54,zip_derived_cl35,zip_derived_cl9,zip_derived_cl218,zip_derived_cl430]) ).
thf('359',plain,
( ( sk__1 != n19 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18982]) ).
thf(zip_derived_cl1101_3368,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl4520_3369,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_cl1337,zip_derived_cl21,zip_derived_cl21]) ).
thf(zip_derived_cl4540,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_cl1101,zip_derived_cl4520]) ).
thf(zip_derived_cl21_3370,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_3371,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4592,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_cl4540,zip_derived_cl21,zip_derived_cl21]) ).
thf('360',plain,
( ( sk__1 != n19 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4592]) ).
thf(zip_derived_cl1091_3372,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_3373,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20561,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl20403]) ).
thf(zip_derived_cl37_3374,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262_3375,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3376,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3377,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3378,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_3379,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_3380,plain,
( ( sum @ n18 @ n24 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20613,plain,
( ( ( sum @ n8 @ ( sum @ n24 @ n10 ) )
!= n16 )
<= ( ( sk__1 = n25 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20561,zip_derived_cl37,zip_derived_cl262,zip_derived_cl11,zip_derived_cl37,zip_derived_cl11,zip_derived_cl272,zip_derived_cl546]) ).
thf(zip_derived_cl688_3381,plain,
( ( sum @ n24 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_3382,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21006,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n25 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20613,zip_derived_cl688,zip_derived_cl270]) ).
thf('361',plain,
( ( sk_ != n9 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21006]) ).
thf(zip_derived_cl702_3383,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1091_3384,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_3385,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl17994,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl17975]) ).
thf(zip_derived_cl37_3386,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278_3387,plain,
( ( sum @ n8 @ n16 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3388,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl428,plain,
( ( sum @ n14 @ n10 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3389,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3390,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_3391,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18046,plain,
( ( ( sum @ n24 @ n24 )
!= ( sum @ n18 @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17994,zip_derived_cl37,zip_derived_cl278,zip_derived_cl11,zip_derived_cl428,zip_derived_cl37,zip_derived_cl11,zip_derived_cl272]) ).
thf(zip_derived_cl20770,plain,
( ( n22
!= ( sum @ n18 @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl18046]) ).
thf(zip_derived_cl526_3392,plain,
( ( sum @ n18 @ n4 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20795,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n15 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20770,zip_derived_cl526]) ).
thf('362',plain,
( ( sk_ != n9 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20795]) ).
thf(zip_derived_cl675_3393,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1091_3394,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_3395,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17772,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl17756]) ).
thf(zip_derived_cl37_3396,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl277,plain,
( ( sum @ n8 @ n15 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3397,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl402,plain,
( ( sum @ n13 @ n10 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3398,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3399,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_3400,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17824,plain,
( ( ( sum @ n23 @ n23 )
!= ( sum @ n18 @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17772,zip_derived_cl37,zip_derived_cl277,zip_derived_cl11,zip_derived_cl402,zip_derived_cl37,zip_derived_cl11,zip_derived_cl272]) ).
thf(zip_derived_cl20287,plain,
( ( n20
!= ( sum @ n18 @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl17824]) ).
thf(zip_derived_cl524_3401,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20310,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n14 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20287,zip_derived_cl524]) ).
thf('363',plain,
( ( sk_ != n9 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20310]) ).
thf(zip_derived_cl648_3402,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1091_3403,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_3404,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17602,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl17592]) ).
thf(zip_derived_cl37_3405,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276_3406,plain,
( ( sum @ n8 @ n14 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3407,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_3408,plain,
( ( sum @ n12 @ n10 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3409,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3410,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_3411,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17654,plain,
( ( ( sum @ n22 @ n22 )
!= ( sum @ n18 @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17602,zip_derived_cl37,zip_derived_cl276,zip_derived_cl11,zip_derived_cl376,zip_derived_cl37,zip_derived_cl11,zip_derived_cl272]) ).
thf(zip_derived_cl19988,plain,
( ( n18
!= ( sum @ n18 @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl17654]) ).
thf(zip_derived_cl522_3412,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20008,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n13 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19988,zip_derived_cl522]) ).
thf('364',plain,
( ( sk_ != n9 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20008]) ).
thf(zip_derived_cl1091_3413,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_3414,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19489,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl19441]) ).
thf(zip_derived_cl37_3415,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl284_3416,plain,
( ( sum @ n8 @ n22 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3417,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl584_3418,plain,
( ( sum @ n20 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3419,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3420,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3421,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_3422,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl538_3423,plain,
( ( sum @ n18 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19545,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n21 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19489,zip_derived_cl37,zip_derived_cl284,zip_derived_cl11,zip_derived_cl584,zip_derived_cl162,zip_derived_cl37,zip_derived_cl11,zip_derived_cl272,zip_derived_cl538]) ).
thf('365',plain,
( ( sk_ != n9 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19545]) ).
thf(zip_derived_cl594_3424,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1091_3425,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_3426,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17193,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl17181]) ).
thf(zip_derived_cl37_3427,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl274_3428,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3429,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_3430,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3431,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3432,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_3433,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17245,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ n18 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17193,zip_derived_cl37,zip_derived_cl274,zip_derived_cl11,zip_derived_cl324,zip_derived_cl37,zip_derived_cl11,zip_derived_cl272]) ).
thf(zip_derived_cl19406,plain,
( ( n14
!= ( sum @ n18 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl17245]) ).
thf(zip_derived_cl544_3434,plain,
( ( sum @ n18 @ n22 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19422,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n11 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19406,zip_derived_cl544]) ).
thf('366',plain,
( ( sk_ != n9 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19422]) ).
thf(zip_derived_cl1091_3435,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_3436,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19202,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl19158]) ).
thf(zip_derived_cl37_3437,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl283,plain,
( ( sum @ n8 @ n21 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3438,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl558,plain,
( ( sum @ n19 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_3439,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3440,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3441,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_3442,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl536_3443,plain,
( ( sum @ n18 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19257,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n20 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19202,zip_derived_cl37,zip_derived_cl283,zip_derived_cl11,zip_derived_cl558,zip_derived_cl135,zip_derived_cl37,zip_derived_cl11,zip_derived_cl272,zip_derived_cl536]) ).
thf('367',plain,
( ( sk_ != n9 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19257]) ).
thf(zip_derived_cl567_3444,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1091_3445,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_3446,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16976,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_cl1091,zip_derived_cl16960]) ).
thf(zip_derived_cl37_3447,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl273,plain,
( ( sum @ n8 @ n11 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3448,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl298,plain,
( ( sum @ n9 @ n10 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3449,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3450,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_3451,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17028,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ n18 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16976,zip_derived_cl37,zip_derived_cl273,zip_derived_cl11,zip_derived_cl298,zip_derived_cl37,zip_derived_cl11,zip_derived_cl272]) ).
thf(zip_derived_cl19125,plain,
( ( n12
!= ( sum @ n18 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl17028]) ).
thf(zip_derived_cl542_3452,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19140,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n10 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19125,zip_derived_cl542]) ).
thf('368',plain,
( ( sk_ != n9 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19140]) ).
thf(zip_derived_cl536_3453,plain,
( ( sum @ n18 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1091_3454,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_3455,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16291,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_cl1091,zip_derived_cl16281]) ).
thf(zip_derived_cl37_3456,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3457,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3458,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3459,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16344,plain,
( ( ( sum @ ( sum @ n8 @ n8 ) @ ( sum @ n6 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16291,zip_derived_cl37,zip_derived_cl11,zip_derived_cl37,zip_derived_cl11]) ).
thf(zip_derived_cl270_3460,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486_3461,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_3462,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18563,plain,
( ( n6
!= ( sum @ n18 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16344,zip_derived_cl270,zip_derived_cl220,zip_derived_cl486,zip_derived_cl272]) ).
thf(zip_derived_cl18839,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n7 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl536,zip_derived_cl18563]) ).
thf('369',plain,
( ( sk_ != n9 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18839]) ).
thf(zip_derived_cl532_3463,plain,
( ( sum @ n18 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1091_3464,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_3465,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18679,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl18650]) ).
thf(zip_derived_cl37_3466,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl281,plain,
( ( sum @ n8 @ n19 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3467,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl506,plain,
( ( sum @ n17 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_3468,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3469,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3470,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_3471,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18732,plain,
( ( n2
!= ( sum @ n18 @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18679,zip_derived_cl37,zip_derived_cl281,zip_derived_cl11,zip_derived_cl506,zip_derived_cl81,zip_derived_cl37,zip_derived_cl11,zip_derived_cl272]) ).
thf(zip_derived_cl18817,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n18 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl18732]) ).
thf('370',plain,
( ( sk_ != n9 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18817]) ).
thf(zip_derived_cl532_3472,plain,
( ( sum @ n18 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1091_3473,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_3474,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15188,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_cl1091,zip_derived_cl15178]) ).
thf(zip_derived_cl37_3475,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3476,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3477,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3478,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15241,plain,
( ( ( sum @ ( sum @ n8 @ n6 ) @ ( sum @ n4 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15188,zip_derived_cl37,zip_derived_cl11,zip_derived_cl37,zip_derived_cl11]) ).
thf(zip_derived_cl268_3479,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168_3480,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_3481,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_3482,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18178,plain,
( ( n2
!= ( sum @ n18 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15241,zip_derived_cl268,zip_derived_cl168,zip_derived_cl432,zip_derived_cl272]) ).
thf(zip_derived_cl18816,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n5 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl18178]) ).
thf('371',plain,
( ( sk_ != n9 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18816]) ).
thf(zip_derived_cl530_3483,plain,
( ( sum @ n18 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1091_3484,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_3485,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18451,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl18424]) ).
thf(zip_derived_cl37_3486,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280_3487,plain,
( ( sum @ n8 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3488,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_3489,plain,
( ( sum @ n16 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3490,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3491,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3492,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_3493,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18503,plain,
( ( n0
!= ( sum @ n18 @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18451,zip_derived_cl37,zip_derived_cl280,zip_derived_cl11,zip_derived_cl480,zip_derived_cl54,zip_derived_cl37,zip_derived_cl11,zip_derived_cl272]) ).
thf(zip_derived_cl18804,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n17 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl530,zip_derived_cl18503]) ).
thf('372',plain,
( ( sk_ != n9 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18804]) ).
thf(zip_derived_cl526_3494,plain,
( ( sum @ n18 @ n4 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1091_3495,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_3496,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13394,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_cl1091,zip_derived_cl13384]) ).
thf(zip_derived_cl37_3497,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3498,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3499,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3500,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13447,plain,
( ( ( sum @ ( sum @ n8 @ n3 ) @ ( sum @ n1 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13394,zip_derived_cl37,zip_derived_cl11,zip_derived_cl37,zip_derived_cl11]) ).
thf(zip_derived_cl265,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_3501,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_3502,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17897,plain,
( ( n22
!= ( sum @ n18 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13447,zip_derived_cl265,zip_derived_cl90,zip_derived_cl351,zip_derived_cl272]) ).
thf(zip_derived_cl18790,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n2 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl17897]) ).
thf('373',plain,
( ( sk_ != n9 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18790]) ).
thf(zip_derived_cl524_3503,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1091_3504,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_3505,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13171,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_cl1091,zip_derived_cl13161]) ).
thf(zip_derived_cl37_3506,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3507,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3508,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3509,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13224,plain,
( ( ( sum @ ( sum @ n8 @ n2 ) @ ( sum @ n0 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13171,zip_derived_cl37,zip_derived_cl11,zip_derived_cl37,zip_derived_cl11]) ).
thf(zip_derived_cl264_3510,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_3511,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_3512,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_3513,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17717,plain,
( ( n20
!= ( sum @ n18 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13224,zip_derived_cl264,zip_derived_cl64,zip_derived_cl324,zip_derived_cl272]) ).
thf(zip_derived_cl18788,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n1 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl524,zip_derived_cl17717]) ).
thf('374',plain,
( ( sk_ != n9 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18788]) ).
thf(zip_derived_cl1091_3514,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl3404_3515,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_cl1166,zip_derived_cl11,zip_derived_cl11]) ).
thf(zip_derived_cl3414,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_cl1091,zip_derived_cl3404]) ).
thf(zip_derived_cl11_3516,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3517,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3466,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_cl3414,zip_derived_cl11,zip_derived_cl11]) ).
thf('375',plain,
( ( sk_ != n9 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3466]) ).
thf(zip_derived_cl729_3518,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl677_3519,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_3520,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_3521,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13186,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl13161]) ).
thf(zip_derived_cl52_3522,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3523,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3524,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3525,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13239,plain,
( ( ( sum @ ( sum @ n23 @ n2 ) @ ( sum @ n0 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13186,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl79,plain,
( ( sum @ n0 @ n25 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17732,plain,
( ( ( sum @ ( sum @ n23 @ n2 ) @ n25 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13239,zip_derived_cl79]) ).
thf(zip_derived_cl20332,plain,
( ( ( sum @ ( sum @ n23 @ n2 ) @ n25 )
!= ( sum @ n22 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl17732]) ).
thf(zip_derived_cl654,plain,
( ( sum @ n23 @ n2 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl628_3526,plain,
( ( sum @ n22 @ n2 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20356,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n1 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20332,zip_derived_cl654,zip_derived_cl628]) ).
thf(zip_derived_cl21143,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n1 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl20356]) ).
thf('376',plain,
( ( sk__1 != n1 )
| ( sk_ != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21143]) ).
thf(zip_derived_cl648_3527,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_3528,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_3529,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_3530,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13183,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl13161]) ).
thf(zip_derived_cl49_3531,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_3532,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_3533,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_3534,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13236,plain,
( ( ( sum @ ( sum @ n20 @ n2 ) @ ( sum @ n0 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13183,zip_derived_cl49,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23]) ).
thf(zip_derived_cl76_3535,plain,
( ( sum @ n0 @ n22 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17729,plain,
( ( ( sum @ ( sum @ n20 @ n2 ) @ n22 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13236,zip_derived_cl76]) ).
thf(zip_derived_cl19442,plain,
( ( ( sum @ ( sum @ n20 @ n2 ) @ n22 )
!= ( sum @ n16 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl17729]) ).
thf(zip_derived_cl576_3536,plain,
( ( sum @ n20 @ n2 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl472_3537,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19456,plain,
( ( ( sum @ n22 @ n22 )
!= n18 )
<= ( ( sk__1 = n1 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19442,zip_derived_cl576,zip_derived_cl472]) ).
thf(zip_derived_cl20004,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n1 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl19456]) ).
thf('377',plain,
( ( sk__1 != n1 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20004]) ).
thf(zip_derived_cl628_3538,plain,
( ( sum @ n22 @ n2 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_3539,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_3540,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13173,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_cl1093,zip_derived_cl13161]) ).
thf(zip_derived_cl39_3541,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_3542,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_3543,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_3544,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13226,plain,
( ( ( sum @ ( sum @ n10 @ n2 ) @ ( sum @ n0 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13173,zip_derived_cl39,zip_derived_cl13,zip_derived_cl39,zip_derived_cl13]) ).
thf(zip_derived_cl316_3545,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_3546,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_3547,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_3548,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17719,plain,
( ( n24
!= ( sum @ n22 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13226,zip_derived_cl316,zip_derived_cl66,zip_derived_cl378,zip_derived_cl326]) ).
thf(zip_derived_cl19913,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n1 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl17719]) ).
thf('378',plain,
( ( sk__1 != n1 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19913]) ).
thf(zip_derived_cl621_3549,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_3550,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102_3551,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_3552,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13182,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_cl1102,zip_derived_cl13161]) ).
thf(zip_derived_cl48_3553,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3554,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_3555,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3556,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13235,plain,
( ( ( sum @ ( sum @ n19 @ n2 ) @ ( sum @ n0 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13182,zip_derived_cl48,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22]) ).
thf(zip_derived_cl75,plain,
( ( sum @ n0 @ n21 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17728,plain,
( ( ( sum @ ( sum @ n19 @ n2 ) @ n21 )
!= ( sum @ ( sum @ n19 @ n21 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13235,zip_derived_cl75]) ).
thf(zip_derived_cl19159,plain,
( ( ( sum @ ( sum @ n19 @ n2 ) @ n21 )
!= ( sum @ n14 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl17728]) ).
thf(zip_derived_cl550,plain,
( ( sum @ n19 @ n2 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl420,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19172,plain,
( ( ( sum @ n21 @ n21 )
!= n16 )
<= ( ( sk__1 = n1 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19159,zip_derived_cl550,zip_derived_cl420]) ).
thf(zip_derived_cl19705,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n1 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl19172]) ).
thf('379',plain,
( ( sk__1 != n1 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19705]) ).
thf(zip_derived_cl594_3557,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_3558,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1101_3559,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_3560,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13181,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_cl1101,zip_derived_cl13161]) ).
thf(zip_derived_cl47_3561,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_3562,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_3563,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_3564,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13234,plain,
( ( ( sum @ ( sum @ n18 @ n2 ) @ ( sum @ n0 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13181,zip_derived_cl47,zip_derived_cl21,zip_derived_cl47,zip_derived_cl21]) ).
thf(zip_derived_cl74_3565,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17727,plain,
( ( ( sum @ ( sum @ n18 @ n2 ) @ n20 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13234,zip_derived_cl74]) ).
thf(zip_derived_cl18893,plain,
( ( ( sum @ ( sum @ n18 @ n2 ) @ n20 )
!= ( sum @ n12 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl17727]) ).
thf(zip_derived_cl524_3566,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl368_3567,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18905,plain,
( ( ( sum @ n20 @ n20 )
!= n14 )
<= ( ( sk__1 = n1 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18893,zip_derived_cl524,zip_derived_cl368]) ).
thf(zip_derived_cl19420,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n1 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl18905]) ).
thf('380',plain,
( ( sk__1 != n1 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19420]) ).
thf(zip_derived_cl576_3568,plain,
( ( sum @ n20 @ n2 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1092_3569,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_3570,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13172,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_cl1092,zip_derived_cl13161]) ).
thf(zip_derived_cl38_3571,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3572,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_3573,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3574,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13225,plain,
( ( ( sum @ ( sum @ n9 @ n2 ) @ ( sum @ n0 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13172,zip_derived_cl38,zip_derived_cl12,zip_derived_cl38,zip_derived_cl12]) ).
thf(zip_derived_cl290,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_3575,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_3576,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17718,plain,
( ( n22
!= ( sum @ n20 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13225,zip_derived_cl290,zip_derived_cl65,zip_derived_cl351,zip_derived_cl299]) ).
thf(zip_derived_cl19321,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n1 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl17718]) ).
thf('381',plain,
( ( sk__1 != n1 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19321]) ).
thf(zip_derived_cl567_3577,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_3578,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1100_3579,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_3580,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13180,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_cl1100,zip_derived_cl13161]) ).
thf(zip_derived_cl46_3581,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_3582,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_3583,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_3584,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13233,plain,
( ( ( sum @ ( sum @ n17 @ n2 ) @ ( sum @ n0 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13180,zip_derived_cl46,zip_derived_cl20,zip_derived_cl46,zip_derived_cl20]) ).
thf(zip_derived_cl73,plain,
( ( sum @ n0 @ n19 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17726,plain,
( ( ( sum @ ( sum @ n17 @ n2 ) @ n19 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13233,zip_derived_cl73]) ).
thf(zip_derived_cl18651,plain,
( ( ( sum @ ( sum @ n17 @ n2 ) @ n19 )
!= ( sum @ n10 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl17726]) ).
thf(zip_derived_cl498,plain,
( ( sum @ n17 @ n2 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl316_3585,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18660,plain,
( ( ( sum @ n19 @ n19 )
!= n12 )
<= ( ( sk__1 = n1 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18651,zip_derived_cl498,zip_derived_cl316]) ).
thf(zip_derived_cl19138,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n1 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl18660]) ).
thf('382',plain,
( ( sk_ != n18 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19138]) ).
thf(zip_derived_cl540_3586,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_3587,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1099_3588,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_3589,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13179,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_cl1099,zip_derived_cl13161]) ).
thf(zip_derived_cl45_3590,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3591,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_3592,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3593,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13232,plain,
( ( ( sum @ ( sum @ n16 @ n2 ) @ ( sum @ n0 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13179,zip_derived_cl45,zip_derived_cl19,zip_derived_cl45,zip_derived_cl19]) ).
thf(zip_derived_cl72_3594,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17725,plain,
( ( ( sum @ ( sum @ n16 @ n2 ) @ n18 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13232,zip_derived_cl72]) ).
thf(zip_derived_cl18425,plain,
( ( ( sum @ ( sum @ n16 @ n2 ) @ n18 )
!= ( sum @ n8 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl17725]) ).
thf(zip_derived_cl472_3595,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_3596,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18433,plain,
( ( ( sum @ n18 @ n18 )
!= n10 )
<= ( ( sk__1 = n1 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18425,zip_derived_cl472,zip_derived_cl264]) ).
thf(zip_derived_cl18874,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n1 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl18433]) ).
thf('383',plain,
( ( sk__1 != n1 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18874]) ).
thf(zip_derived_cl513_3597,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_3598,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1098_3599,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_3600,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13178,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_cl1098,zip_derived_cl13161]) ).
thf(zip_derived_cl44_3601,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_3602,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_3603,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_3604,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13231,plain,
( ( ( sum @ ( sum @ n15 @ n2 ) @ ( sum @ n0 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13178,zip_derived_cl44,zip_derived_cl18,zip_derived_cl44,zip_derived_cl18]) ).
thf(zip_derived_cl71,plain,
( ( sum @ n0 @ n17 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17724,plain,
( ( ( sum @ ( sum @ n15 @ n2 ) @ n17 )
!= ( sum @ ( sum @ n15 @ n17 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13231,zip_derived_cl71]) ).
thf(zip_derived_cl18202,plain,
( ( ( sum @ ( sum @ n15 @ n2 ) @ n17 )
!= ( sum @ n6 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl17724]) ).
thf(zip_derived_cl446,plain,
( ( sum @ n15 @ n2 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18206,plain,
( ( ( sum @ n17 @ n17 )
!= n8 )
<= ( ( sk__1 = n1 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18202,zip_derived_cl446,zip_derived_cl212]) ).
thf(zip_derived_cl18633,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n1 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl18206]) ).
thf('384',plain,
( ( sk__1 != n1 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18633]) ).
thf(zip_derived_cl486_3605,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_3606,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1097_3607,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_3608,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13177,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_cl1097,zip_derived_cl13161]) ).
thf(zip_derived_cl43_3609,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_3610,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_3611,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_3612,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13230,plain,
( ( ( sum @ ( sum @ n14 @ n2 ) @ ( sum @ n0 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13177,zip_derived_cl43,zip_derived_cl17,zip_derived_cl43,zip_derived_cl17]) ).
thf(zip_derived_cl70_3613,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17723,plain,
( ( ( sum @ ( sum @ n14 @ n2 ) @ n16 )
!= ( sum @ ( sum @ n14 @ n16 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13230,zip_derived_cl70]) ).
thf(zip_derived_cl17976,plain,
( ( ( sum @ ( sum @ n14 @ n2 ) @ n16 )
!= ( sum @ n4 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl17723]) ).
thf(zip_derived_cl420_3614,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_3615,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17980,plain,
( ( ( sum @ n16 @ n16 )
!= n6 )
<= ( ( sk__1 = n1 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17976,zip_derived_cl420,zip_derived_cl160]) ).
thf(zip_derived_cl18410,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n1 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl17980]) ).
thf('385',plain,
( ( sk__1 != n1 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18410]) ).
thf(zip_derived_cl459_3616,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_3617,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1096_3618,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_3619,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13176,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_cl1096,zip_derived_cl13161]) ).
thf(zip_derived_cl42_3620,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3621,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_3622,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3623,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13229,plain,
( ( ( sum @ ( sum @ n13 @ n2 ) @ ( sum @ n0 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13176,zip_derived_cl42,zip_derived_cl16,zip_derived_cl42,zip_derived_cl16]) ).
thf(zip_derived_cl394,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17722,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ ( sum @ n13 @ n15 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13229,zip_derived_cl394,zip_derived_cl69]) ).
thf(zip_derived_cl17757,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ n2 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl17722]) ).
thf(zip_derived_cl108_3624,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17758,plain,
( ( ( sum @ n15 @ n15 )
!= n4 )
<= ( ( sk__1 = n1 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17757,zip_derived_cl108]) ).
thf(zip_derived_cl18187,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n1 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl17758]) ).
thf('386',plain,
( ( sk__1 != n1 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18187]) ).
thf(zip_derived_cl432_3625,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1095_3626,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_3627,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13175,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_cl1095,zip_derived_cl13161]) ).
thf(zip_derived_cl41_3628,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3629,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_3630,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3631,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13228,plain,
( ( ( sum @ ( sum @ n12 @ n2 ) @ ( sum @ n0 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13175,zip_derived_cl41,zip_derived_cl15,zip_derived_cl41,zip_derived_cl15]) ).
thf(zip_derived_cl368_3632,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3633,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_3634,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_3635,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17721,plain,
( ( ( sum @ n14 @ n14 )
!= n2 )
<= ( ( sk__1 = n1 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13228,zip_derived_cl368,zip_derived_cl68,zip_derived_cl380,zip_derived_cl56]) ).
thf(zip_derived_cl17964,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n1 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl17721]) ).
thf('387',plain,
( ( sk__1 != n1 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17964]) ).
thf(zip_derived_cl420_3636,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1089_3637,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_3638,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13169,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_cl1089,zip_derived_cl13161]) ).
thf(zip_derived_cl35_3639,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_3640,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_3641,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_3642,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13222,plain,
( ( ( sum @ ( sum @ n6 @ n2 ) @ ( sum @ n0 @ n8 ) )
!= ( sum @ ( sum @ n6 @ n8 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13169,zip_derived_cl35,zip_derived_cl9,zip_derived_cl35,zip_derived_cl9]) ).
thf(zip_derived_cl212_3643,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_3644,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_3645,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_3646,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17715,plain,
( ( n16
!= ( sum @ n14 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13222,zip_derived_cl212,zip_derived_cl62,zip_derived_cl270,zip_derived_cl218]) ).
thf(zip_derived_cl17893,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n1 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl17715]) ).
thf('388',plain,
( ( sk__1 != n1 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17893]) ).
thf(zip_derived_cl1085_3647,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_3648,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13165,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_cl1085,zip_derived_cl13161]) ).
thf(zip_derived_cl31_3649,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3650,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_3651,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3652,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13218,plain,
( ( ( sum @ ( sum @ n2 @ n2 ) @ ( sum @ n0 @ n4 ) )
!= ( sum @ ( sum @ n2 @ n4 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13165,zip_derived_cl31,zip_derived_cl5,zip_derived_cl31,zip_derived_cl5]) ).
thf(zip_derived_cl108_3653,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3654,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3655,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_3656,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212_3657,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17707,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n1 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13218,zip_derived_cl108,zip_derived_cl58,zip_derived_cl162,zip_derived_cl110,zip_derived_cl212]) ).
thf('389',plain,
( ( sk_ != n3 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17707]) ).
thf(zip_derived_cl1084_3658,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13161_3659,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_cl56,zip_derived_cl5273]) ).
thf(zip_derived_cl13164,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_cl1084,zip_derived_cl13161]) ).
thf(zip_derived_cl30_3660,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3661,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_3662,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3663,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13217,plain,
( ( ( sum @ ( sum @ n1 @ n2 ) @ ( sum @ n0 @ n3 ) )
!= ( sum @ ( sum @ n1 @ n3 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13164,zip_derived_cl30,zip_derived_cl4,zip_derived_cl30,zip_derived_cl4]) ).
thf(zip_derived_cl82,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_3664,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_3665,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_3666,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17705,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n1 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13217,zip_derived_cl82,zip_derived_cl57,zip_derived_cl135,zip_derived_cl83,zip_derived_cl160]) ).
thf('390',plain,
( ( sk__1 != n1 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17705]) ).
thf(zip_derived_cl1106_3667,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_3668,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20576,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl20403]) ).
thf(zip_derived_cl52_3669,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl652_3670,plain,
( ( sum @ n23 @ n0 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3671,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3672,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3673,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl677_3674,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl650_3675,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20628,plain,
( ( ( sum @ n23 @ ( sum @ n24 @ n25 ) )
!= n20 )
<= ( ( sk__1 = n25 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20576,zip_derived_cl52,zip_derived_cl652,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26,zip_derived_cl677,zip_derived_cl650]) ).
thf(zip_derived_cl703_3676,plain,
( ( sum @ n24 @ n25 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl675_3677,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21046,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n25 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20628,zip_derived_cl703,zip_derived_cl675]) ).
thf('391',plain,
( ( sk_ != n24 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21046]) ).
thf(zip_derived_cl677_3678,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_3679,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_3680,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19504,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl19441]) ).
thf(zip_derived_cl52_3681,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3682,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3683,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3684,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19571,plain,
( ( ( sum @ ( sum @ n23 @ n22 ) @ ( sum @ n20 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19504,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl674_3685,plain,
( ( sum @ n23 @ n22 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl599_3686,plain,
( ( sum @ n20 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl567_3687,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20278,plain,
( ( n12
!= ( sum @ ( sum @ n23 @ n25 ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19571,zip_derived_cl674,zip_derived_cl599,zip_derived_cl567]) ).
thf(zip_derived_cl20354,plain,
( ( n12
!= ( sum @ n22 @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl20278]) ).
thf(zip_derived_cl642_3688,plain,
( ( sum @ n22 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20399,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n21 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20354,zip_derived_cl642]) ).
thf('392',plain,
( ( sk_ != n24 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20399]) ).
thf(zip_derived_cl677_3689,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_3690,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_3691,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19217,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl19158]) ).
thf(zip_derived_cl52_3692,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3693,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3694,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3695,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19281,plain,
( ( ( sum @ ( sum @ n23 @ n21 ) @ ( sum @ n19 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19217,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl573_3696,plain,
( ( sum @ n19 @ n25 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20268,plain,
( ( ( sum @ ( sum @ n23 @ n21 ) @ n18 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19281,zip_derived_cl573]) ).
thf(zip_derived_cl20352,plain,
( ( ( sum @ ( sum @ n23 @ n21 ) @ n18 )
!= ( sum @ n22 @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl20268]) ).
thf(zip_derived_cl673_3697,plain,
( ( sum @ n23 @ n21 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl540_3698,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_3699,plain,
( ( sum @ n22 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20395,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n20 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20352,zip_derived_cl673,zip_derived_cl540,zip_derived_cl640]) ).
thf('393',plain,
( ( sk_ != n24 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20395]) ).
thf(zip_derived_cl677_3700,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_3701,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_3702,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18694,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl18650]) ).
thf(zip_derived_cl52_3703,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3704,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3705,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3706,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18753,plain,
( ( ( sum @ ( sum @ n23 @ n19 ) @ ( sum @ n17 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18694,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl521_3707,plain,
( ( sum @ n17 @ n25 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20236,plain,
( ( ( sum @ ( sum @ n23 @ n19 ) @ n16 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18753,zip_derived_cl521]) ).
thf(zip_derived_cl20349,plain,
( ( ( sum @ ( sum @ n23 @ n19 ) @ n16 )
!= ( sum @ n22 @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl20236]) ).
thf(zip_derived_cl671_3708,plain,
( ( sum @ n23 @ n19 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486_3709,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl636_3710,plain,
( ( sum @ n22 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20389,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n18 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20349,zip_derived_cl671,zip_derived_cl486,zip_derived_cl636]) ).
thf('394',plain,
( ( sk_ != n24 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20389]) ).
thf(zip_derived_cl677_3711,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_3712,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_3713,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18466,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl18424]) ).
thf(zip_derived_cl52_3714,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3715,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3716,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3717,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18523,plain,
( ( ( sum @ ( sum @ n23 @ n18 ) @ ( sum @ n16 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18466,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl495_3718,plain,
( ( sum @ n16 @ n25 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19974,plain,
( ( ( sum @ ( sum @ n23 @ n18 ) @ n15 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18523,zip_derived_cl495]) ).
thf(zip_derived_cl20348,plain,
( ( ( sum @ ( sum @ n23 @ n18 ) @ n15 )
!= ( sum @ n22 @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl19974]) ).
thf(zip_derived_cl670_3719,plain,
( ( sum @ n23 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459_3720,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl634_3721,plain,
( ( sum @ n22 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20387,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n17 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20348,zip_derived_cl670,zip_derived_cl459,zip_derived_cl634]) ).
thf('395',plain,
( ( sk_ != n24 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20387]) ).
thf(zip_derived_cl677_3722,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_3723,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_3724,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl18009,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl17975]) ).
thf(zip_derived_cl52_3725,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3726,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3727,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3728,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18064,plain,
( ( ( sum @ ( sum @ n23 @ n16 ) @ ( sum @ n14 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18009,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl443_3729,plain,
( ( sum @ n14 @ n25 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19654,plain,
( ( ( sum @ ( sum @ n23 @ n16 ) @ n13 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18064,zip_derived_cl443]) ).
thf(zip_derived_cl20346,plain,
( ( ( sum @ ( sum @ n23 @ n16 ) @ n13 )
!= ( sum @ n22 @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl19654]) ).
thf(zip_derived_cl668_3730,plain,
( ( sum @ n23 @ n16 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_3731,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl630,plain,
( ( sum @ n22 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20383,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n15 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20346,zip_derived_cl668,zip_derived_cl405,zip_derived_cl630]) ).
thf('396',plain,
( ( sk_ != n24 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20383]) ).
thf(zip_derived_cl677_3732,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_3733,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_3734,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17787,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl17756]) ).
thf(zip_derived_cl52_3735,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3736,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3737,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3738,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17841,plain,
( ( ( sum @ ( sum @ n23 @ n15 ) @ ( sum @ n13 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17787,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl417_3739,plain,
( ( sum @ n13 @ n25 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19624,plain,
( ( ( sum @ ( sum @ n23 @ n15 ) @ n12 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17841,zip_derived_cl417]) ).
thf(zip_derived_cl20345,plain,
( ( ( sum @ ( sum @ n23 @ n15 ) @ n12 )
!= ( sum @ n22 @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl19624]) ).
thf(zip_derived_cl667_3740,plain,
( ( sum @ n23 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_3741,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl628_3742,plain,
( ( sum @ n22 @ n2 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20381,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n14 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20345,zip_derived_cl667,zip_derived_cl378,zip_derived_cl628]) ).
thf('397',plain,
( ( sk_ != n24 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20381]) ).
thf(zip_derived_cl677_3743,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_3744,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_3745,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17617,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl17592]) ).
thf(zip_derived_cl52_3746,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3747,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3748,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3749,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17670,plain,
( ( ( sum @ ( sum @ n23 @ n14 ) @ ( sum @ n12 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17617,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl391_3750,plain,
( ( sum @ n12 @ n25 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19380,plain,
( ( ( sum @ ( sum @ n23 @ n14 ) @ n11 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17670,zip_derived_cl391]) ).
thf(zip_derived_cl20344,plain,
( ( ( sum @ ( sum @ n23 @ n14 ) @ n11 )
!= ( sum @ n22 @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl19380]) ).
thf(zip_derived_cl666_3751,plain,
( ( sum @ n23 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_3752,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl626_3753,plain,
( ( sum @ n22 @ n0 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20379,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n13 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20344,zip_derived_cl666,zip_derived_cl351,zip_derived_cl626]) ).
thf('398',plain,
( ( sk_ != n24 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20379]) ).
thf(zip_derived_cl677_3754,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_3755,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_3756,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17208,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl17181]) ).
thf(zip_derived_cl52_3757,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3758,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3759,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3760,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17261,plain,
( ( ( sum @ ( sum @ n23 @ n12 ) @ ( sum @ n10 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17208,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl339_3761,plain,
( ( sum @ n10 @ n25 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19081,plain,
( ( ( sum @ ( sum @ n23 @ n12 ) @ n9 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17261,zip_derived_cl339]) ).
thf(zip_derived_cl20342,plain,
( ( ( sum @ ( sum @ n23 @ n12 ) @ n9 )
!= ( sum @ n22 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl19081]) ).
thf(zip_derived_cl664_3762,plain,
( ( sum @ n23 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_3763,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl648_3764,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20375,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n11 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20342,zip_derived_cl664,zip_derived_cl297,zip_derived_cl648]) ).
thf('399',plain,
( ( sk_ != n24 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20375]) ).
thf(zip_derived_cl677_3765,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_3766,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_3767,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16991,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl16960]) ).
thf(zip_derived_cl52_3768,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3769,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3770,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3771,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17044,plain,
( ( ( sum @ ( sum @ n23 @ n11 ) @ ( sum @ n9 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16991,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl313_3772,plain,
( ( sum @ n9 @ n25 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18862,plain,
( ( ( sum @ ( sum @ n23 @ n11 ) @ n8 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17044,zip_derived_cl313]) ).
thf(zip_derived_cl20341,plain,
( ( ( sum @ ( sum @ n23 @ n11 ) @ n8 )
!= ( sum @ n22 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl18862]) ).
thf(zip_derived_cl663_3773,plain,
( ( sum @ n23 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_3774,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl646_3775,plain,
( ( sum @ n22 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20373,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n10 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20341,zip_derived_cl663,zip_derived_cl270,zip_derived_cl646]) ).
thf('400',plain,
( ( sk_ != n24 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20373]) ).
thf(zip_derived_cl677_3776,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_3777,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_3778,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16757,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl16730]) ).
thf(zip_derived_cl52_3779,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3780,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3781,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3782,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16810,plain,
( ( ( sum @ ( sum @ n23 @ n10 ) @ ( sum @ n8 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16757,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl287_3783,plain,
( ( sum @ n8 @ n25 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18822,plain,
( ( ( sum @ ( sum @ n23 @ n10 ) @ n7 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16810,zip_derived_cl287]) ).
thf(zip_derived_cl20340,plain,
( ( ( sum @ ( sum @ n23 @ n10 ) @ n7 )
!= ( sum @ n22 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl18822]) ).
thf(zip_derived_cl662_3784,plain,
( ( sum @ n23 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_3785,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl644_3786,plain,
( ( sum @ n22 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20371,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n9 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20340,zip_derived_cl662,zip_derived_cl243,zip_derived_cl644]) ).
thf('401',plain,
( ( sk_ != n24 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20371]) ).
thf(zip_derived_cl677_3787,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_3788,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_3789,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16306,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl16281]) ).
thf(zip_derived_cl52_3790,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3791,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3792,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3793,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16359,plain,
( ( ( sum @ ( sum @ n23 @ n8 ) @ ( sum @ n6 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16306,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl235_3794,plain,
( ( sum @ n6 @ n25 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18578,plain,
( ( ( sum @ ( sum @ n23 @ n8 ) @ n5 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16359,zip_derived_cl235]) ).
thf(zip_derived_cl20338,plain,
( ( ( sum @ ( sum @ n23 @ n8 ) @ n5 )
!= ( sum @ n22 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl18578]) ).
thf(zip_derived_cl660_3795,plain,
( ( sum @ n23 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_3796,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_3797,plain,
( ( sum @ n22 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20367,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n7 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20338,zip_derived_cl660,zip_derived_cl189,zip_derived_cl640]) ).
thf('402',plain,
( ( sk_ != n24 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20367]) ).
thf(zip_derived_cl677_3798,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_3799,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_3800,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15203,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl15178]) ).
thf(zip_derived_cl52_3801,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3802,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3803,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3804,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15256,plain,
( ( ( sum @ ( sum @ n23 @ n6 ) @ ( sum @ n4 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15203,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl183_3805,plain,
( ( sum @ n4 @ n25 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18336,plain,
( ( ( sum @ ( sum @ n23 @ n6 ) @ n3 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15256,zip_derived_cl183]) ).
thf(zip_derived_cl20336,plain,
( ( ( sum @ ( sum @ n23 @ n6 ) @ n3 )
!= ( sum @ n22 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl18336]) ).
thf(zip_derived_cl658_3806,plain,
( ( sum @ n23 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_3807,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl636_3808,plain,
( ( sum @ n22 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20363,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n5 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20336,zip_derived_cl658,zip_derived_cl135,zip_derived_cl636]) ).
thf('403',plain,
( ( sk_ != n24 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20363]) ).
thf(zip_derived_cl677_3809,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_3810,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_3811,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13409,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl13384]) ).
thf(zip_derived_cl52_3812,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3813,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3814,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3815,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13462,plain,
( ( ( sum @ ( sum @ n23 @ n3 ) @ ( sum @ n1 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13409,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl105_3816,plain,
( ( sum @ n1 @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17914,plain,
( ( ( sum @ ( sum @ n23 @ n3 ) @ n0 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13462,zip_derived_cl105]) ).
thf(zip_derived_cl20333,plain,
( ( ( sum @ ( sum @ n23 @ n3 ) @ n0 )
!= ( sum @ n22 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl17914]) ).
thf(zip_derived_cl655_3817,plain,
( ( sum @ n23 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3818,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl630_3819,plain,
( ( sum @ n22 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20357,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n2 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20333,zip_derived_cl655,zip_derived_cl54,zip_derived_cl630]) ).
thf('404',plain,
( ( sk_ != n24 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20357]) ).
thf(zip_derived_cl702_3820,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_3821,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_3822,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17604,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1093,zip_derived_cl17592]) ).
thf(zip_derived_cl39_3823,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl328_3824,plain,
( ( sum @ n10 @ n14 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_3825,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_3826,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_3827,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_3828,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_3829,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17656,plain,
( ( ( sum @ n24 @ n24 )
!= ( sum @ n22 @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17604,zip_derived_cl39,zip_derived_cl328,zip_derived_cl13,zip_derived_cl378,zip_derived_cl39,zip_derived_cl13,zip_derived_cl326]) ).
thf(zip_derived_cl20768,plain,
( ( n22
!= ( sum @ n22 @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl17656]) ).
thf(zip_derived_cl626_3830,plain,
( ( sum @ n22 @ n0 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20791,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n13 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20768,zip_derived_cl626]) ).
thf('405',plain,
( ( sk__1 != n13 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20791]) ).
thf(zip_derived_cl675_3831,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1092_3832,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_3833,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17603,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1092,zip_derived_cl17592]) ).
thf(zip_derived_cl38_3834,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl302,plain,
( ( sum @ n9 @ n14 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3835,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl377,plain,
( ( sum @ n12 @ n11 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_3836,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3837,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_3838,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17655,plain,
( ( ( sum @ n23 @ n23 )
!= ( sum @ n20 @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17603,zip_derived_cl38,zip_derived_cl302,zip_derived_cl12,zip_derived_cl377,zip_derived_cl38,zip_derived_cl12,zip_derived_cl299]) ).
thf(zip_derived_cl20286,plain,
( ( n20
!= ( sum @ n20 @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl17655]) ).
thf(zip_derived_cl574_3839,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20308,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n13 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20286,zip_derived_cl574]) ).
thf('406',plain,
( ( sk__1 != n13 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20308]) ).
thf(zip_derived_cl596_3840,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_3841,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_3842,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17614,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl17592]) ).
thf(zip_derived_cl49_3843,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_3844,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_3845,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_3846,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17667,plain,
( ( ( sum @ ( sum @ n20 @ n14 ) @ ( sum @ n12 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17614,zip_derived_cl49,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23]) ).
thf(zip_derived_cl588_3847,plain,
( ( sum @ n20 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl388_3848,plain,
( ( sum @ n12 @ n22 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_3849,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19374,plain,
( ( n16
!= ( sum @ ( sum @ n20 @ n22 ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17667,zip_derived_cl588,zip_derived_cl388,zip_derived_cl270]) ).
thf(zip_derived_cl19455,plain,
( ( n16
!= ( sum @ n16 @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl19374]) ).
thf(zip_derived_cl470_3850,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19478,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n13 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19455,zip_derived_cl470]) ).
thf('407',plain,
( ( sk__1 != n13 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19478]) ).
thf(zip_derived_cl594_3851,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1089_3852,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_3853,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17600,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1089,zip_derived_cl17592]) ).
thf(zip_derived_cl35_3854,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_3855,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374_3856,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_3857,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_3858,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_3859,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17652,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ n14 @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17600,zip_derived_cl35,zip_derived_cl224,zip_derived_cl9,zip_derived_cl374,zip_derived_cl35,zip_derived_cl9,zip_derived_cl218]) ).
thf(zip_derived_cl19408,plain,
( ( n14
!= ( sum @ n14 @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl17652]) ).
thf(zip_derived_cl418_3860,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19426,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n13 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19408,zip_derived_cl418]) ).
thf('408',plain,
( ( sk__1 != n13 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19426]) ).
thf(zip_derived_cl1102_3861,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_3862,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17613,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1102,zip_derived_cl17592]) ).
thf(zip_derived_cl48_3863,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3864,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_3865,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3866,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17666,plain,
( ( ( sum @ ( sum @ n19 @ n14 ) @ ( sum @ n12 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17613,zip_derived_cl48,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22]) ).
thf(zip_derived_cl562,plain,
( ( sum @ n19 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl387,plain,
( ( sum @ n12 @ n21 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_3867,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_3868,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_3869,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19372,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n13 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17666,zip_derived_cl562,zip_derived_cl387,zip_derived_cl243,zip_derived_cl569,zip_derived_cl418]) ).
thf('409',plain,
( ( sk__1 != n13 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19372]) ).
thf(zip_derived_cl1101_3870,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_3871,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17612,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1101,zip_derived_cl17592]) ).
thf(zip_derived_cl47_3872,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_3873,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_3874,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_3875,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17665,plain,
( ( ( sum @ ( sum @ n18 @ n14 ) @ ( sum @ n12 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17612,zip_derived_cl47,zip_derived_cl21,zip_derived_cl47,zip_derived_cl21]) ).
thf(zip_derived_cl536_3876,plain,
( ( sum @ n18 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_3877,plain,
( ( sum @ n12 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_3878,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_3879,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl366_3880,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19370,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n13 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17665,zip_derived_cl536,zip_derived_cl386,zip_derived_cl216,zip_derived_cl542,zip_derived_cl366]) ).
thf('410',plain,
( ( sk__1 != n13 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19370]) ).
thf(zip_derived_cl1100_3881,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_3882,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17611,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1100,zip_derived_cl17592]) ).
thf(zip_derived_cl46_3883,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_3884,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_3885,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_3886,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17664,plain,
( ( ( sum @ ( sum @ n17 @ n14 ) @ ( sum @ n12 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17611,zip_derived_cl46,zip_derived_cl20,zip_derived_cl46,zip_derived_cl20]) ).
thf(zip_derived_cl510,plain,
( ( sum @ n17 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl385,plain,
( ( sum @ n12 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_3887,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_3888,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl314_3889,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19368,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n13 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17664,zip_derived_cl510,zip_derived_cl385,zip_derived_cl189,zip_derived_cl515,zip_derived_cl314]) ).
thf('411',plain,
( ( sk_ != n18 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19368]) ).
thf(zip_derived_cl1099_3890,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_3891,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17610,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1099,zip_derived_cl17592]) ).
thf(zip_derived_cl45_3892,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3893,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_3894,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3895,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17663,plain,
( ( ( sum @ ( sum @ n16 @ n14 ) @ ( sum @ n12 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17610,zip_derived_cl45,zip_derived_cl19,zip_derived_cl45,zip_derived_cl19]) ).
thf(zip_derived_cl484_3896,plain,
( ( sum @ n16 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_3897,plain,
( ( sum @ n12 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3898,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_3899,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262_3900,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19366,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n13 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17663,zip_derived_cl484,zip_derived_cl384,zip_derived_cl162,zip_derived_cl488,zip_derived_cl262]) ).
thf('412',plain,
( ( sk__1 != n13 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19366]) ).
thf(zip_derived_cl1098_3901,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_3902,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17609,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl17592]) ).
thf(zip_derived_cl44_3903,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_3904,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_3905,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_3906,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17662,plain,
( ( ( sum @ ( sum @ n15 @ n14 ) @ ( sum @ n12 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17609,zip_derived_cl44,zip_derived_cl18,zip_derived_cl44,zip_derived_cl18]) ).
thf(zip_derived_cl458_3907,plain,
( ( sum @ n15 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl383_3908,plain,
( ( sum @ n12 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_3909,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_3910,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210_3911,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19364,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n13 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17662,zip_derived_cl458,zip_derived_cl383,zip_derived_cl135,zip_derived_cl461,zip_derived_cl210]) ).
thf('413',plain,
( ( sk__1 != n13 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19364]) ).
thf(zip_derived_cl1097_3912,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_3913,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17608,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1097,zip_derived_cl17592]) ).
thf(zip_derived_cl43_3914,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_3915,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_3916,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_3917,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17661,plain,
( ( ( sum @ ( sum @ n14 @ n14 ) @ ( sum @ n12 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17608,zip_derived_cl43,zip_derived_cl17,zip_derived_cl43,zip_derived_cl17]) ).
thf(zip_derived_cl432_3918,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl382_3919,plain,
( ( sum @ n12 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_3920,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_3921,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158_3922,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19362,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n13 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17661,zip_derived_cl432,zip_derived_cl382,zip_derived_cl108,zip_derived_cl434,zip_derived_cl158]) ).
thf('414',plain,
( ( sk__1 != n13 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19362]) ).
thf(zip_derived_cl1096_3923,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_3924,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17607,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1096,zip_derived_cl17592]) ).
thf(zip_derived_cl42_3925,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3926,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_3927,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3928,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17660,plain,
( ( ( sum @ ( sum @ n13 @ n14 ) @ ( sum @ n12 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17607,zip_derived_cl42,zip_derived_cl16,zip_derived_cl42,zip_derived_cl16]) ).
thf(zip_derived_cl406,plain,
( ( sum @ n13 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl381,plain,
( ( sum @ n12 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_3929,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_3930,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106_3931,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19355,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n13 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17660,zip_derived_cl406,zip_derived_cl381,zip_derived_cl81,zip_derived_cl407,zip_derived_cl106]) ).
thf('415',plain,
( ( sk__1 != n13 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19355]) ).
thf(zip_derived_cl486_3932,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1085_3933,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_3934,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17596,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1085,zip_derived_cl17592]) ).
thf(zip_derived_cl31_3935,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3936,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl370_3937,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_3938,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3939,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_3940,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210_3941,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17648,plain,
( ( ( sum @ n16 @ n16 )
!= n6 )
<= ( ( sk__1 = n13 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17596,zip_derived_cl31,zip_derived_cl120,zip_derived_cl5,zip_derived_cl370,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110,zip_derived_cl210]) ).
thf(zip_derived_cl18406,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n13 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl17648]) ).
thf('416',plain,
( ( sk_ != n3 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18406]) ).
thf(zip_derived_cl459_3942,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1084_3943,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_3944,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17595,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1084,zip_derived_cl17592]) ).
thf(zip_derived_cl30_3945,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3946,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl369,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_3947,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_3948,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_3949,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158_3950,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17647,plain,
( ( ( sum @ n15 @ n15 )
!= n4 )
<= ( ( sk__1 = n13 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17595,zip_derived_cl30,zip_derived_cl94,zip_derived_cl4,zip_derived_cl369,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl158]) ).
thf(zip_derived_cl18186,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n13 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl17647]) ).
thf('417',plain,
( ( sk__1 != n13 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18186]) ).
thf(zip_derived_cl1095_3951,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl3801_3952,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_cl1219,zip_derived_cl15,zip_derived_cl15]) ).
thf(zip_derived_cl3815,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_cl1095,zip_derived_cl3801]) ).
thf(zip_derived_cl15_3953,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3954,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3867,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_cl3815,zip_derived_cl15,zip_derived_cl15]) ).
thf('418',plain,
( ( sk__1 != n13 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3867]) ).
thf(zip_derived_cl729_3955,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1096_3956,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_3957,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17198,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1096,zip_derived_cl17181]) ).
thf(zip_derived_cl42_3958,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3959,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_3960,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3961,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17251,plain,
( ( ( sum @ ( sum @ n13 @ n12 ) @ ( sum @ n10 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17198,zip_derived_cl42,zip_derived_cl16,zip_derived_cl42,zip_derived_cl16]) ).
thf(zip_derived_cl404,plain,
( ( sum @ n13 @ n12 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl329,plain,
( ( sum @ n10 @ n15 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_3962,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_3963,plain,
( ( sum @ n2 @ n22 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19066,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n11 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17251,zip_derived_cl404,zip_derived_cl329,zip_derived_cl407,zip_derived_cl128]) ).
thf(zip_derived_cl21134,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n11 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl19066]) ).
thf('419',plain,
( ( sk_ != n14 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21134]) ).
thf(zip_derived_cl1096_3964,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_3965,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20566,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1096,zip_derived_cl20403]) ).
thf(zip_derived_cl42_3966,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl392_3967,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3968,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_3969,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3970,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_3971,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_3972,plain,
( ( sum @ n2 @ n24 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20618,plain,
( ( ( sum @ n13 @ ( sum @ n24 @ n15 ) )
!= n0 )
<= ( ( sk__1 = n25 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20566,zip_derived_cl42,zip_derived_cl392,zip_derived_cl16,zip_derived_cl42,zip_derived_cl16,zip_derived_cl407,zip_derived_cl130]) ).
thf(zip_derived_cl693_3973,plain,
( ( sum @ n24 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_3974,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21017,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n25 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20618,zip_derived_cl693,zip_derived_cl405]) ).
thf('420',plain,
( ( sk_ != n14 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21017]) ).
thf(zip_derived_cl702_3975,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1096_3976,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_3977,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16981,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_cl1096,zip_derived_cl16960]) ).
thf(zip_derived_cl42_3978,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3979,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_3980,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3981,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17034,plain,
( ( ( sum @ ( sum @ n13 @ n11 ) @ ( sum @ n9 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16981,zip_derived_cl42,zip_derived_cl16,zip_derived_cl42,zip_derived_cl16]) ).
thf(zip_derived_cl403,plain,
( ( sum @ n13 @ n11 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl303,plain,
( ( sum @ n9 @ n15 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_3982,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126_3983,plain,
( ( sum @ n2 @ n20 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18846,plain,
( ( ( sum @ n24 @ n24 )
!= n22 )
<= ( ( sk__1 = n10 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17034,zip_derived_cl403,zip_derived_cl303,zip_derived_cl407,zip_derived_cl126]) ).
thf(zip_derived_cl20778,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n10 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl18846]) ).
thf('421',plain,
( ( sk_ != n14 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20778]) ).
thf(zip_derived_cl675_3984,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1096_3985,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_3986,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16747,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_cl1096,zip_derived_cl16730]) ).
thf(zip_derived_cl42_3987,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3988,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_3989,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3990,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16800,plain,
( ( ( sum @ ( sum @ n13 @ n10 ) @ ( sum @ n8 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16747,zip_derived_cl42,zip_derived_cl16,zip_derived_cl42,zip_derived_cl16]) ).
thf(zip_derived_cl402_3991,plain,
( ( sum @ n13 @ n10 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl277_3992,plain,
( ( sum @ n8 @ n15 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_3993,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124_3994,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18802,plain,
( ( ( sum @ n23 @ n23 )
!= n20 )
<= ( ( sk__1 = n9 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16800,zip_derived_cl402,zip_derived_cl277,zip_derived_cl407,zip_derived_cl124]) ).
thf(zip_derived_cl20296,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n9 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl18802]) ).
thf('422',plain,
( ( sk_ != n14 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20296]) ).
thf(zip_derived_cl621_3995,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1096_3996,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_3997,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16296,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_cl1096,zip_derived_cl16281]) ).
thf(zip_derived_cl42_3998,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3999,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_4000,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4001,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16349,plain,
( ( ( sum @ ( sum @ n13 @ n8 ) @ ( sum @ n6 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16296,zip_derived_cl42,zip_derived_cl16,zip_derived_cl42,zip_derived_cl16]) ).
thf(zip_derived_cl400,plain,
( ( sum @ n13 @ n8 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl225,plain,
( ( sum @ n6 @ n15 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_4002,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120_4003,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18568,plain,
( ( ( sum @ n21 @ n21 )
!= n16 )
<= ( ( sk__1 = n7 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16349,zip_derived_cl400,zip_derived_cl225,zip_derived_cl407,zip_derived_cl120]) ).
thf(zip_derived_cl19699,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n7 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl18568]) ).
thf('423',plain,
( ( sk_ != n14 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19699]) ).
thf(zip_derived_cl1096_4004,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_4005,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19494,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1096,zip_derived_cl19441]) ).
thf(zip_derived_cl42_4006,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl414,plain,
( ( sum @ n13 @ n22 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4007,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl589,plain,
( ( sum @ n20 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_4008,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_4009,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4010,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_4011,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122_4012,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19553,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n21 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19494,zip_derived_cl42,zip_derived_cl414,zip_derived_cl16,zip_derived_cl589,zip_derived_cl297,zip_derived_cl42,zip_derived_cl16,zip_derived_cl407,zip_derived_cl122]) ).
thf('424',plain,
( ( sk_ != n14 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19553]) ).
thf(zip_derived_cl1096_4013,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_4014,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19207,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1096,zip_derived_cl19158]) ).
thf(zip_derived_cl42_4015,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl413,plain,
( ( sum @ n13 @ n21 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4016,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl563,plain,
( ( sum @ n19 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_4017,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_4018,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4019,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_4020,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120_4021,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19264,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n20 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19207,zip_derived_cl42,zip_derived_cl413,zip_derived_cl16,zip_derived_cl563,zip_derived_cl270,zip_derived_cl42,zip_derived_cl16,zip_derived_cl407,zip_derived_cl120]) ).
thf('425',plain,
( ( sk_ != n14 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19264]) ).
thf(zip_derived_cl567_4022,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1096_4023,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_4024,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15193,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_cl1096,zip_derived_cl15178]) ).
thf(zip_derived_cl42_4025,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4026,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_4027,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4028,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15246,plain,
( ( ( sum @ ( sum @ n13 @ n6 ) @ ( sum @ n4 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15193,zip_derived_cl42,zip_derived_cl16,zip_derived_cl42,zip_derived_cl16]) ).
thf(zip_derived_cl398_4029,plain,
( ( sum @ n13 @ n6 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl173_4030,plain,
( ( sum @ n4 @ n15 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_4031,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18324,plain,
( ( ( sum @ n19 @ n19 )
!= n12 )
<= ( ( sk__1 = n5 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15246,zip_derived_cl398,zip_derived_cl173,zip_derived_cl407,zip_derived_cl116]) ).
thf(zip_derived_cl19134,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n5 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl18324]) ).
thf('426',plain,
( ( sk_ != n14 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19134]) ).
thf(zip_derived_cl1096_4032,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_4033,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18684,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1096,zip_derived_cl18650]) ).
thf(zip_derived_cl42_4034,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl411,plain,
( ( sum @ n13 @ n19 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4035,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl511,plain,
( ( sum @ n17 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_4036,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_4037,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4038,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_4039,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116_4040,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18738,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n18 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18684,zip_derived_cl42,zip_derived_cl411,zip_derived_cl16,zip_derived_cl511,zip_derived_cl216,zip_derived_cl42,zip_derived_cl16,zip_derived_cl407,zip_derived_cl116]) ).
thf('427',plain,
( ( sk_ != n14 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18738]) ).
thf(zip_derived_cl1096_4041,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_4042,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18456,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1096,zip_derived_cl18424]) ).
thf(zip_derived_cl42_4043,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl410,plain,
( ( sum @ n13 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4044,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl485,plain,
( ( sum @ n16 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_4045,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_4046,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4047,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_4048,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114_4049,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18509,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n17 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18456,zip_derived_cl42,zip_derived_cl410,zip_derived_cl16,zip_derived_cl485,zip_derived_cl189,zip_derived_cl42,zip_derived_cl16,zip_derived_cl407,zip_derived_cl114]) ).
thf('428',plain,
( ( sk_ != n14 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18509]) ).
thf(zip_derived_cl486_4050,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1096_4051,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_4052,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13399,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_cl1096,zip_derived_cl13384]) ).
thf(zip_derived_cl42_4053,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4054,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_4055,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4056,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13452,plain,
( ( ( sum @ ( sum @ n13 @ n3 ) @ ( sum @ n1 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13399,zip_derived_cl42,zip_derived_cl16,zip_derived_cl42,zip_derived_cl16]) ).
thf(zip_derived_cl395,plain,
( ( sum @ n13 @ n3 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95,plain,
( ( sum @ n1 @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_4057,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_4058,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17902,plain,
( ( ( sum @ n16 @ n16 )
!= n6 )
<= ( ( sk__1 = n2 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13452,zip_derived_cl395,zip_derived_cl95,zip_derived_cl407,zip_derived_cl110]) ).
thf(zip_derived_cl18408,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n2 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl17902]) ).
thf('429',plain,
( ( sk_ != n14 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18408]) ).
thf(zip_derived_cl1096_4059,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_4060,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl17999,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1096,zip_derived_cl17975]) ).
thf(zip_derived_cl42_4061,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl408,plain,
( ( sum @ n13 @ n16 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4062,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl433,plain,
( ( sum @ n14 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_4063,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_4064,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4065,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_4066,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_4067,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18052,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n15 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17999,zip_derived_cl42,zip_derived_cl408,zip_derived_cl16,zip_derived_cl433,zip_derived_cl135,zip_derived_cl42,zip_derived_cl16,zip_derived_cl407,zip_derived_cl110]) ).
thf('430',plain,
( ( sk_ != n14 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18052]) ).
thf(zip_derived_cl1096_4068,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl3901_4069,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_cl1234,zip_derived_cl16,zip_derived_cl16]) ).
thf(zip_derived_cl3916,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_cl1096,zip_derived_cl3901]) ).
thf(zip_derived_cl16_4070,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4071,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3968,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_cl3916,zip_derived_cl16,zip_derived_cl16]) ).
thf('431',plain,
( ( sk_ != n14 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3968]) ).
thf(zip_derived_cl729_4072,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1089_4073,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_4074,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18677,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1089,zip_derived_cl18650]) ).
thf(zip_derived_cl35_4075,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl229,plain,
( ( sum @ n6 @ n19 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4076,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl504,plain,
( ( sum @ n17 @ n8 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_4077,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4078,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_4079,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl428_4080,plain,
( ( sum @ n14 @ n10 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18729,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n18 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18677,zip_derived_cl35,zip_derived_cl229,zip_derived_cl9,zip_derived_cl504,zip_derived_cl35,zip_derived_cl9,zip_derived_cl218,zip_derived_cl428]) ).
thf(zip_derived_cl21129,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n18 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl18729]) ).
thf('432',plain,
( ( sk__1 != n18 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21129]) ).
thf(zip_derived_cl1103_4081,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_4082,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18691,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl18650]) ).
thf(zip_derived_cl49_4083,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_4084,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_4085,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_4086,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18750,plain,
( ( ( sum @ ( sum @ n20 @ n19 ) @ ( sum @ n17 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18691,zip_derived_cl49,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23]) ).
thf(zip_derived_cl593,plain,
( ( sum @ n20 @ n19 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl518,plain,
( ( sum @ n17 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_4087,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_4088,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_4089,plain,
( ( sum @ n16 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20230,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n18 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18750,zip_derived_cl593,zip_derived_cl518,zip_derived_cl405,zip_derived_cl596,zip_derived_cl480]) ).
thf('433',plain,
( ( sk__1 != n18 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20230]) ).
thf(zip_derived_cl1102_4090,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_4091,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18690,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1102,zip_derived_cl18650]) ).
thf(zip_derived_cl48_4092,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_4093,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_4094,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_4095,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18749,plain,
( ( ( sum @ ( sum @ n19 @ n19 ) @ ( sum @ n17 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18690,zip_derived_cl48,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22]) ).
thf(zip_derived_cl567_4096,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl517,plain,
( ( sum @ n17 @ n21 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_4097,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_4098,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl428_4099,plain,
( ( sum @ n14 @ n10 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20228,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n18 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18749,zip_derived_cl567,zip_derived_cl517,zip_derived_cl378,zip_derived_cl569,zip_derived_cl428]) ).
thf('434',plain,
( ( sk__1 != n18 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20228]) ).
thf(zip_derived_cl636_4100,plain,
( ( sum @ n22 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_4101,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_4102,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18681,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1093,zip_derived_cl18650]) ).
thf(zip_derived_cl39_4103,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl333,plain,
( ( sum @ n10 @ n19 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_4104,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl508,plain,
( ( sum @ n17 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_4105,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4106,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_4107,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_4108,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18734,plain,
( ( n6
!= ( sum @ n22 @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18681,zip_derived_cl39,zip_derived_cl333,zip_derived_cl13,zip_derived_cl508,zip_derived_cl135,zip_derived_cl39,zip_derived_cl13,zip_derived_cl326]) ).
thf(zip_derived_cl19932,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n18 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl636,zip_derived_cl18734]) ).
thf('435',plain,
( ( sk__1 != n18 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19932]) ).
thf(zip_derived_cl621_4109,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1085_4110,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_4111,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18673,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1085,zip_derived_cl18650]) ).
thf(zip_derived_cl31_4112,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl125,plain,
( ( sum @ n2 @ n19 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_4113,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl500,plain,
( ( sum @ n17 @ n4 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_4114,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_4115,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_4116,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_4117,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18725,plain,
( ( ( sum @ n21 @ n21 )
!= n16 )
<= ( ( sk__1 = n18 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18673,zip_derived_cl31,zip_derived_cl125,zip_derived_cl5,zip_derived_cl500,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110,zip_derived_cl220]) ).
thf(zip_derived_cl19702,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n18 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl18725]) ).
thf('436',plain,
( ( sk_ != n3 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19702]) ).
thf(zip_derived_cl594_4118,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1084_4119,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_4120,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18672,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1084,zip_derived_cl18650]) ).
thf(zip_derived_cl30_4121,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99,plain,
( ( sum @ n1 @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_4122,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl499,plain,
( ( sum @ n17 @ n3 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_4123,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_4124,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_4125,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168_4126,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18724,plain,
( ( ( sum @ n20 @ n20 )
!= n14 )
<= ( ( sk__1 = n18 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18672,zip_derived_cl30,zip_derived_cl99,zip_derived_cl4,zip_derived_cl499,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl168]) ).
thf(zip_derived_cl19419,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n18 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl18724]) ).
thf('437',plain,
( ( sk__1 != n18 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19419]) ).
thf(zip_derived_cl584_4127,plain,
( ( sum @ n20 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1092_4128,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_4129,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18680,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1092,zip_derived_cl18650]) ).
thf(zip_derived_cl38_4130,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl307,plain,
( ( sum @ n9 @ n19 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4131,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl507,plain,
( ( sum @ n17 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_4132,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_4133,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4134,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_4135,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18733,plain,
( ( n4
!= ( sum @ n20 @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18680,zip_derived_cl38,zip_derived_cl307,zip_derived_cl12,zip_derived_cl507,zip_derived_cl108,zip_derived_cl38,zip_derived_cl12,zip_derived_cl299]) ).
thf(zip_derived_cl19335,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n18 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl584,zip_derived_cl18733]) ).
thf('438',plain,
( ( sk__1 != n18 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19335]) ).
thf(zip_derived_cl542_4136,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1101_4137,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_4138,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18689,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1101,zip_derived_cl18650]) ).
thf(zip_derived_cl47_4139,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4140,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl516_4141,plain,
( ( sum @ n17 @ n20 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_4142,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4143,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18748,plain,
( ( ( sum @ ( sum @ n18 @ n19 ) @ n11 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18689,zip_derived_cl47,zip_derived_cl21,zip_derived_cl516,zip_derived_cl47,zip_derived_cl21]) ).
thf(zip_derived_cl18901,plain,
( ( ( sum @ ( sum @ n18 @ n19 ) @ n11 )
!= ( sum @ n12 @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl18748]) ).
thf(zip_derived_cl541_4144,plain,
( ( sum @ n18 @ n19 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_4145,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_4146,plain,
( ( sum @ n12 @ n10 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18915,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n18 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18901,zip_derived_cl541,zip_derived_cl351,zip_derived_cl376]) ).
thf('439',plain,
( ( sk__1 != n18 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18915]) ).
thf(zip_derived_cl1099_4147,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_4148,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18687,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1099,zip_derived_cl18650]) ).
thf(zip_derived_cl45_4149,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl489,plain,
( ( sum @ n16 @ n19 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_4150,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514,plain,
( ( sum @ n17 @ n18 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_4151,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_4152,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_4153,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_4154,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_4155,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18744,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n18 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18687,zip_derived_cl45,zip_derived_cl489,zip_derived_cl19,zip_derived_cl514,zip_derived_cl297,zip_derived_cl45,zip_derived_cl19,zip_derived_cl488,zip_derived_cl272]) ).
thf('440',plain,
( ( sk__1 != n18 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18744]) ).
thf(zip_derived_cl1098_4156,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_4157,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18686,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl18650]) ).
thf(zip_derived_cl44_4158,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl463_4159,plain,
( ( sum @ n15 @ n19 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_4160,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl513_4161,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_4162,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_4163,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_4164,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_4165,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_4166,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18742,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n18 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18686,zip_derived_cl44,zip_derived_cl463,zip_derived_cl18,zip_derived_cl513,zip_derived_cl270,zip_derived_cl44,zip_derived_cl18,zip_derived_cl461,zip_derived_cl220]) ).
thf('441',plain,
( ( sk__1 != n18 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18742]) ).
thf(zip_derived_cl1097_4167,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_4168,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18685,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1097,zip_derived_cl18650]) ).
thf(zip_derived_cl43_4169,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl437,plain,
( ( sum @ n14 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4170,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512,plain,
( ( sum @ n17 @ n16 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_4171,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_4172,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4173,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_4174,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168_4175,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18740,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n18 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18685,zip_derived_cl43,zip_derived_cl437,zip_derived_cl17,zip_derived_cl512,zip_derived_cl243,zip_derived_cl43,zip_derived_cl17,zip_derived_cl434,zip_derived_cl168]) ).
thf('442',plain,
( ( sk__1 != n18 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18740]) ).
thf(zip_derived_cl1095_4176,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_4177,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18683,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1095,zip_derived_cl18650]) ).
thf(zip_derived_cl41_4178,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl385_4179,plain,
( ( sum @ n12 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4180,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl510_4181,plain,
( ( sum @ n17 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_4182,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_4183,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4184,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_4185,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4186,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18736,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n18 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18683,zip_derived_cl41,zip_derived_cl385,zip_derived_cl15,zip_derived_cl510,zip_derived_cl189,zip_derived_cl41,zip_derived_cl15,zip_derived_cl380,zip_derived_cl64]) ).
thf('443',plain,
( ( sk__1 != n18 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18736]) ).
thf(zip_derived_cl1100_4187,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl4416_4188,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_cl1308,zip_derived_cl20,zip_derived_cl20]) ).
thf(zip_derived_cl4435,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_cl1100,zip_derived_cl4416]) ).
thf(zip_derived_cl20_4189,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_4190,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4487,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_cl4435,zip_derived_cl20,zip_derived_cl20]) ).
thf('444',plain,
( ( sk_ != n18 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4487]) ).
thf(zip_derived_cl729_4191,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1097_4192,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_4193,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16982,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_cl1097,zip_derived_cl16960]) ).
thf(zip_derived_cl43_4194,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4195,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_4196,plain,
( ( pred @ n15 )
= 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_cl17035,plain,
( ( ( sum @ ( sum @ n14 @ n11 ) @ ( sum @ n9 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16982,zip_derived_cl43,zip_derived_cl17,zip_derived_cl43,zip_derived_cl17]) ).
thf(zip_derived_cl429,plain,
( ( sum @ n14 @ n11 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl304,plain,
( ( sum @ n9 @ n16 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_4198,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_4199,plain,
( ( sum @ n4 @ n20 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18847,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n10 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17035,zip_derived_cl429,zip_derived_cl304,zip_derived_cl434,zip_derived_cl178]) ).
thf(zip_derived_cl21131,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n10 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl18847]) ).
thf('445',plain,
( ( sk_ != n15 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21131]) ).
thf(zip_derived_cl1097_4200,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_4201,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20567,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1097,zip_derived_cl20403]) ).
thf(zip_derived_cl43_4202,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_4203,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4204,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_4205,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4206,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_4207,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182_4208,plain,
( ( sum @ n4 @ n24 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20619,plain,
( ( ( sum @ n14 @ ( sum @ n24 @ n16 ) )
!= n2 )
<= ( ( sk__1 = n25 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20567,zip_derived_cl43,zip_derived_cl418,zip_derived_cl17,zip_derived_cl43,zip_derived_cl17,zip_derived_cl434,zip_derived_cl182]) ).
thf(zip_derived_cl694_4209,plain,
( ( sum @ n24 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_4210,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21019,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n25 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20619,zip_derived_cl694,zip_derived_cl432]) ).
thf('446',plain,
( ( sk_ != n15 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21019]) ).
thf(zip_derived_cl702_4211,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1097_4212,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_4213,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16748,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_cl1097,zip_derived_cl16730]) ).
thf(zip_derived_cl43_4214,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4215,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_4216,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4217,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16801,plain,
( ( ( sum @ ( sum @ n14 @ n10 ) @ ( sum @ n8 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16748,zip_derived_cl43,zip_derived_cl17,zip_derived_cl43,zip_derived_cl17]) ).
thf(zip_derived_cl428_4218,plain,
( ( sum @ n14 @ n10 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278_4219,plain,
( ( sum @ n8 @ n16 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_4220,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_4221,plain,
( ( sum @ n4 @ n18 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18807,plain,
( ( ( sum @ n24 @ n24 )
!= n22 )
<= ( ( sk__1 = n9 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16801,zip_derived_cl428,zip_derived_cl278,zip_derived_cl434,zip_derived_cl176]) ).
thf(zip_derived_cl20777,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n9 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl18807]) ).
thf('447',plain,
( ( sk_ != n15 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20777]) ).
thf(zip_derived_cl648_4222,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1097_4223,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_4224,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16297,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_cl1097,zip_derived_cl16281]) ).
thf(zip_derived_cl43_4225,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4226,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_4227,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4228,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16350,plain,
( ( ( sum @ ( sum @ n14 @ n8 ) @ ( sum @ n6 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16297,zip_derived_cl43,zip_derived_cl17,zip_derived_cl43,zip_derived_cl17]) ).
thf(zip_derived_cl426_4229,plain,
( ( sum @ n14 @ n8 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_4230,plain,
( ( sum @ n6 @ n16 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_4231,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172_4232,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18569,plain,
( ( ( sum @ n22 @ n22 )
!= n18 )
<= ( ( sk__1 = n7 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16350,zip_derived_cl426,zip_derived_cl226,zip_derived_cl434,zip_derived_cl172]) ).
thf(zip_derived_cl19995,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n7 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl18569]) ).
thf('448',plain,
( ( sk_ != n15 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19995]) ).
thf(zip_derived_cl1097_4233,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_4234,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19495,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1097,zip_derived_cl19441]) ).
thf(zip_derived_cl43_4235,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_4236,plain,
( ( sum @ n14 @ n22 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4237,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl590_4238,plain,
( ( sum @ n20 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_4239,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_4240,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4241,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_4242,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174_4243,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19555,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n21 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19495,zip_derived_cl43,zip_derived_cl440,zip_derived_cl17,zip_derived_cl590,zip_derived_cl324,zip_derived_cl43,zip_derived_cl17,zip_derived_cl434,zip_derived_cl174]) ).
thf('449',plain,
( ( sk_ != n15 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19555]) ).
thf(zip_derived_cl594_4244,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1097_4245,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_4246,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15194,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_cl1097,zip_derived_cl15178]) ).
thf(zip_derived_cl43_4247,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4248,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_4249,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4250,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15247,plain,
( ( ( sum @ ( sum @ n14 @ n6 ) @ ( sum @ n4 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15194,zip_derived_cl43,zip_derived_cl17,zip_derived_cl43,zip_derived_cl17]) ).
thf(zip_derived_cl424_4251,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174_4252,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_4253,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168_4254,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18325,plain,
( ( ( sum @ n20 @ n20 )
!= n14 )
<= ( ( sk__1 = n5 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15247,zip_derived_cl424,zip_derived_cl174,zip_derived_cl434,zip_derived_cl168]) ).
thf(zip_derived_cl19413,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n5 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl18325]) ).
thf('450',plain,
( ( sk_ != n15 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19413]) ).
thf(zip_derived_cl1097_4255,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_4256,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19208,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1097,zip_derived_cl19158]) ).
thf(zip_derived_cl43_4257,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl439,plain,
( ( sum @ n14 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4258,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl564,plain,
( ( sum @ n19 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_4259,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_4260,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4261,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_4262,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172_4263,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19266,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n20 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19208,zip_derived_cl43,zip_derived_cl439,zip_derived_cl17,zip_derived_cl564,zip_derived_cl297,zip_derived_cl43,zip_derived_cl17,zip_derived_cl434,zip_derived_cl172]) ).
thf('451',plain,
( ( sk_ != n15 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19266]) ).
thf(zip_derived_cl1097_4264,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_4265,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17199,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1097,zip_derived_cl17181]) ).
thf(zip_derived_cl43_4266,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4267,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_4268,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4269,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17252,plain,
( ( ( sum @ ( sum @ n14 @ n12 ) @ ( sum @ n10 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17199,zip_derived_cl43,zip_derived_cl17,zip_derived_cl43,zip_derived_cl17]) ).
thf(zip_derived_cl430_4270,plain,
( ( sum @ n14 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330_4271,plain,
( ( sum @ n10 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_4272,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_4273,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180_4274,plain,
( ( sum @ n4 @ n22 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19067,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n11 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17252,zip_derived_cl430,zip_derived_cl330,zip_derived_cl54,zip_derived_cl434,zip_derived_cl180]) ).
thf('452',plain,
( ( sk_ != n15 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19067]) ).
thf(zip_derived_cl513_4275,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_4276,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1097_4277,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_4278,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13400,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_cl1097,zip_derived_cl13384]) ).
thf(zip_derived_cl43_4279,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4280,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_4281,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4282,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13453,plain,
( ( ( sum @ ( sum @ n14 @ n3 ) @ ( sum @ n1 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13400,zip_derived_cl43,zip_derived_cl17,zip_derived_cl43,zip_derived_cl17]) ).
thf(zip_derived_cl421,plain,
( ( sum @ n14 @ n3 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96,plain,
( ( sum @ n1 @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17905,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ ( sum @ n14 @ n16 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13453,zip_derived_cl421,zip_derived_cl96]) ).
thf(zip_derived_cl17978,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ n4 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl17905]) ).
thf(zip_derived_cl162_4283,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17983,plain,
( ( ( sum @ n17 @ n17 )
!= n8 )
<= ( ( sk__1 = n2 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17978,zip_derived_cl162]) ).
thf(zip_derived_cl18630,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n2 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl17983]) ).
thf('453',plain,
( ( sk_ != n15 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18630]) ).
thf(zip_derived_cl1097_4284,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_4285,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18457,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1097,zip_derived_cl18424]) ).
thf(zip_derived_cl43_4286,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436_4287,plain,
( ( sum @ n14 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4288,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486_4289,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_4290,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_4291,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4292,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_4293,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166_4294,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18511,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n17 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18457,zip_derived_cl43,zip_derived_cl436,zip_derived_cl17,zip_derived_cl486,zip_derived_cl216,zip_derived_cl43,zip_derived_cl17,zip_derived_cl434,zip_derived_cl166]) ).
thf('454',plain,
( ( sk_ != n15 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18511]) ).
thf(zip_derived_cl434_4295,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1097_4296,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_4297,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17778,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1097,zip_derived_cl17756]) ).
thf(zip_derived_cl43_4298,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4299,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl408_4300,plain,
( ( sum @ n13 @ n16 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_4301,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4302,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17832,plain,
( ( ( sum @ ( sum @ n14 @ n15 ) @ n3 )
!= ( sum @ ( sum @ n14 @ n16 ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17778,zip_derived_cl43,zip_derived_cl17,zip_derived_cl408,zip_derived_cl43,zip_derived_cl17]) ).
thf(zip_derived_cl17977,plain,
( ( ( sum @ ( sum @ n14 @ n15 ) @ n3 )
!= ( sum @ n4 @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl17832]) ).
thf(zip_derived_cl433_4303,plain,
( ( sum @ n14 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_4304,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_4305,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17981,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n14 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17977,zip_derived_cl433,zip_derived_cl135,zip_derived_cl160]) ).
thf('455',plain,
( ( sk_ != n15 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17981]) ).
thf(zip_derived_cl1097_4306,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl4002_4307,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_cl1254,zip_derived_cl17,zip_derived_cl17]) ).
thf(zip_derived_cl4018,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_cl1097,zip_derived_cl4002]) ).
thf(zip_derived_cl17_4308,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4309,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4070,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_cl4018,zip_derived_cl17,zip_derived_cl17]) ).
thf('456',plain,
( ( sk_ != n15 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4070]) ).
thf(zip_derived_cl729_4310,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_4311,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_4312,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17774,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1093,zip_derived_cl17756]) ).
thf(zip_derived_cl39_4313,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl329_4314,plain,
( ( sum @ n10 @ n15 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_4315,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl404_4316,plain,
( ( sum @ n13 @ n12 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4317,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_4318,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_4319,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17826,plain,
( ( ( sum @ n25 @ n25 )
!= ( sum @ n22 @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17774,zip_derived_cl39,zip_derived_cl329,zip_derived_cl13,zip_derived_cl404,zip_derived_cl39,zip_derived_cl13,zip_derived_cl326]) ).
thf(zip_derived_cl21123,plain,
( ( n24
!= ( sum @ n22 @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl17826]) ).
thf(zip_derived_cl628_4320,plain,
( ( sum @ n22 @ n2 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21149,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n14 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21123,zip_derived_cl628]) ).
thf('457',plain,
( ( sk__1 != n14 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21149]) ).
thf(zip_derived_cl702_4321,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1092_4322,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_4323,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17773,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1092,zip_derived_cl17756]) ).
thf(zip_derived_cl38_4324,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl303_4325,plain,
( ( sum @ n9 @ n15 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4326,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl403_4327,plain,
( ( sum @ n13 @ n11 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_4328,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4329,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_4330,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17825,plain,
( ( ( sum @ n24 @ n24 )
!= ( sum @ n20 @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17773,zip_derived_cl38,zip_derived_cl303,zip_derived_cl12,zip_derived_cl403,zip_derived_cl38,zip_derived_cl12,zip_derived_cl299]) ).
thf(zip_derived_cl20769,plain,
( ( n22
!= ( sum @ n20 @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl17825]) ).
thf(zip_derived_cl576_4331,plain,
( ( sum @ n20 @ n2 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20793,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n14 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20769,zip_derived_cl576]) ).
thf('458',plain,
( ( sk__1 != n14 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20793]) ).
thf(zip_derived_cl621_4332,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1089_4333,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_4334,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17770,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1089,zip_derived_cl17756]) ).
thf(zip_derived_cl35_4335,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl225_4336,plain,
( ( sum @ n6 @ n15 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4337,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl400_4338,plain,
( ( sum @ n13 @ n8 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_4339,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4340,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_4341,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17822,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ n14 @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17770,zip_derived_cl35,zip_derived_cl225,zip_derived_cl9,zip_derived_cl400,zip_derived_cl35,zip_derived_cl9,zip_derived_cl218]) ).
thf(zip_derived_cl19692,plain,
( ( n16
!= ( sum @ n14 @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl17822]) ).
thf(zip_derived_cl420_4342,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19713,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n14 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19692,zip_derived_cl420]) ).
thf('459',plain,
( ( sk__1 != n14 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19713]) ).
thf(zip_derived_cl1103_4343,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_4344,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17784,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl17756]) ).
thf(zip_derived_cl49_4345,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_4346,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_4347,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_4348,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17838,plain,
( ( ( sum @ ( sum @ n20 @ n15 ) @ ( sum @ n13 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17784,zip_derived_cl49,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23]) ).
thf(zip_derived_cl589_4349,plain,
( ( sum @ n20 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl414_4350,plain,
( ( sum @ n13 @ n22 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_4351,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_4352,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl472_4353,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19620,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n14 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17838,zip_derived_cl589,zip_derived_cl414,zip_derived_cl297,zip_derived_cl596,zip_derived_cl472]) ).
thf('460',plain,
( ( sk__1 != n14 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19620]) ).
thf(zip_derived_cl1102_4354,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_4355,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17783,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1102,zip_derived_cl17756]) ).
thf(zip_derived_cl48_4356,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_4357,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_4358,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_4359,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17837,plain,
( ( ( sum @ ( sum @ n19 @ n15 ) @ ( sum @ n13 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17783,zip_derived_cl48,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22]) ).
thf(zip_derived_cl563_4360,plain,
( ( sum @ n19 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl413_4361,plain,
( ( sum @ n13 @ n21 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_4362,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_4363,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl420_4364,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19618,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n14 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17837,zip_derived_cl563,zip_derived_cl413,zip_derived_cl270,zip_derived_cl569,zip_derived_cl420]) ).
thf('461',plain,
( ( sk__1 != n14 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19618]) ).
thf(zip_derived_cl1101_4365,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_4366,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17782,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1101,zip_derived_cl17756]) ).
thf(zip_derived_cl47_4367,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4368,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_4369,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4370,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17836,plain,
( ( ( sum @ ( sum @ n18 @ n15 ) @ ( sum @ n13 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17782,zip_derived_cl47,zip_derived_cl21,zip_derived_cl47,zip_derived_cl21]) ).
thf(zip_derived_cl537_4371,plain,
( ( sum @ n18 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl412_4372,plain,
( ( sum @ n13 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_4373,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_4374,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl368_4375,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19616,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n14 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17836,zip_derived_cl537,zip_derived_cl412,zip_derived_cl243,zip_derived_cl542,zip_derived_cl368]) ).
thf('462',plain,
( ( sk__1 != n14 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19616]) ).
thf(zip_derived_cl1100_4376,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_4377,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17781,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1100,zip_derived_cl17756]) ).
thf(zip_derived_cl46_4378,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_4379,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_4380,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_4381,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17835,plain,
( ( ( sum @ ( sum @ n17 @ n15 ) @ ( sum @ n13 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17781,zip_derived_cl46,zip_derived_cl20,zip_derived_cl46,zip_derived_cl20]) ).
thf(zip_derived_cl511_4382,plain,
( ( sum @ n17 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl411_4383,plain,
( ( sum @ n13 @ n19 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_4384,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_4385,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl316_4386,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19614,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n14 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17835,zip_derived_cl511,zip_derived_cl411,zip_derived_cl216,zip_derived_cl515,zip_derived_cl316]) ).
thf('463',plain,
( ( sk_ != n18 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19614]) ).
thf(zip_derived_cl1099_4387,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_4388,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17780,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1099,zip_derived_cl17756]) ).
thf(zip_derived_cl45_4389,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_4390,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_4391,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_4392,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17834,plain,
( ( ( sum @ ( sum @ n16 @ n15 ) @ ( sum @ n13 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17780,zip_derived_cl45,zip_derived_cl19,zip_derived_cl45,zip_derived_cl19]) ).
thf(zip_derived_cl485_4393,plain,
( ( sum @ n16 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl410_4394,plain,
( ( sum @ n13 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_4395,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_4396,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_4397,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19404,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n14 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17834,zip_derived_cl485,zip_derived_cl410,zip_derived_cl189,zip_derived_cl488,zip_derived_cl264]) ).
thf('464',plain,
( ( sk__1 != n14 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19404]) ).
thf(zip_derived_cl1098_4398,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_4399,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17779,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl17756]) ).
thf(zip_derived_cl44_4400,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_4401,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_4402,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_4403,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17833,plain,
( ( ( sum @ ( sum @ n15 @ n15 ) @ ( sum @ n13 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17779,zip_derived_cl44,zip_derived_cl18,zip_derived_cl44,zip_derived_cl18]) ).
thf(zip_derived_cl459_4404,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl409_4405,plain,
( ( sum @ n13 @ n17 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_4406,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_4407,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212_4408,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19402,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n14 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17833,zip_derived_cl459,zip_derived_cl409,zip_derived_cl162,zip_derived_cl461,zip_derived_cl212]) ).
thf('465',plain,
( ( sk__1 != n14 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19402]) ).
thf(zip_derived_cl513_4409,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1085_4410,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_4411,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17766,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1085,zip_derived_cl17756]) ).
thf(zip_derived_cl31_4412,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121,plain,
( ( sum @ n2 @ n15 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_4413,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl396,plain,
( ( sum @ n13 @ n4 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_4414,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_4415,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_4416,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212_4417,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17818,plain,
( ( ( sum @ n17 @ n17 )
!= n8 )
<= ( ( sk__1 = n14 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17766,zip_derived_cl31,zip_derived_cl121,zip_derived_cl5,zip_derived_cl396,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110,zip_derived_cl212]) ).
thf(zip_derived_cl18628,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n14 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl17818]) ).
thf('466',plain,
( ( sk_ != n3 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18628]) ).
thf(zip_derived_cl486_4418,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1084_4419,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_4420,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17765,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1084,zip_derived_cl17756]) ).
thf(zip_derived_cl30_4421,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95_4422,plain,
( ( sum @ n1 @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_4423,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl395_4424,plain,
( ( sum @ n13 @ n3 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_4425,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_4426,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_4427,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_4428,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17817,plain,
( ( ( sum @ n16 @ n16 )
!= n6 )
<= ( ( sk__1 = n14 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17765,zip_derived_cl30,zip_derived_cl95,zip_derived_cl4,zip_derived_cl395,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl160]) ).
thf(zip_derived_cl18407,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n14 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl17817]) ).
thf('467',plain,
( ( sk__1 != n14 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18407]) ).
thf(zip_derived_cl1095_4429,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_4430,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17776,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1095,zip_derived_cl17756]) ).
thf(zip_derived_cl41_4431,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl381_4432,plain,
( ( sum @ n12 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4433,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl406_4434,plain,
( ( sum @ n13 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_4435,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_4436,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4437,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_4438,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_4439,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17828,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n14 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17776,zip_derived_cl41,zip_derived_cl381,zip_derived_cl15,zip_derived_cl406,zip_derived_cl81,zip_derived_cl41,zip_derived_cl15,zip_derived_cl380,zip_derived_cl56]) ).
thf('468',plain,
( ( sk__1 != n14 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17828]) ).
thf(zip_derived_cl1101_4440,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_4441,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20571,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1101,zip_derived_cl20403]) ).
thf(zip_derived_cl47_4442,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl522_4443,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4444,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_4445,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4446,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_4447,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl390_4448,plain,
( ( sum @ n12 @ n24 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20623,plain,
( ( ( sum @ n18 @ ( sum @ n24 @ n20 ) )
!= n10 )
<= ( ( sk__1 = n25 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20571,zip_derived_cl47,zip_derived_cl522,zip_derived_cl21,zip_derived_cl47,zip_derived_cl21,zip_derived_cl542,zip_derived_cl390]) ).
thf(zip_derived_cl698_4449,plain,
( ( sum @ n24 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl540_4450,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21033,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n25 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20623,zip_derived_cl698,zip_derived_cl540]) ).
thf('469',plain,
( ( sk_ != n19 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21033]) ).
thf(zip_derived_cl702_4451,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_4452,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1101_4453,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_4454,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15198,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_cl1101,zip_derived_cl15178]) ).
thf(zip_derived_cl47_4455,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4456,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_4457,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4458,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15251,plain,
( ( ( sum @ ( sum @ n18 @ n6 ) @ ( sum @ n4 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15198,zip_derived_cl47,zip_derived_cl21,zip_derived_cl47,zip_derived_cl21]) ).
thf(zip_derived_cl178_4459,plain,
( ( sum @ n4 @ n20 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18331,plain,
( ( ( sum @ ( sum @ n18 @ n6 ) @ n24 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15251,zip_derived_cl178]) ).
thf(zip_derived_cl18897,plain,
( ( ( sum @ ( sum @ n18 @ n6 ) @ n24 )
!= ( sum @ n12 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl18331]) ).
thf(zip_derived_cl528_4460,plain,
( ( sum @ n18 @ n6 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_4461,plain,
( ( sum @ n12 @ n10 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18909,plain,
( ( ( sum @ n24 @ n24 )
!= n22 )
<= ( ( sk__1 = n5 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18897,zip_derived_cl528,zip_derived_cl376]) ).
thf(zip_derived_cl20779,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n5 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl18909]) ).
thf('470',plain,
( ( sk_ != n19 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20779]) ).
thf(zip_derived_cl1101_4462,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_4463,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18461,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1101,zip_derived_cl18424]) ).
thf(zip_derived_cl47_4464,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4465,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_4466,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4467,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18518,plain,
( ( ( sum @ ( sum @ n18 @ n18 ) @ ( sum @ n16 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18461,zip_derived_cl47,zip_derived_cl21,zip_derived_cl47,zip_derived_cl21]) ).
thf(zip_derived_cl540_4468,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl490_4469,plain,
( ( sum @ n16 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_4470,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_4471,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374_4472,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19962,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n17 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18518,zip_derived_cl540,zip_derived_cl490,zip_derived_cl324,zip_derived_cl542,zip_derived_cl374]) ).
thf('471',plain,
( ( sk_ != n19 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19962]) ).
thf(zip_derived_cl621_4473,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_4474,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1101_4475,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_4476,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13404,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_cl1101,zip_derived_cl13384]) ).
thf(zip_derived_cl47_4477,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4478,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_4479,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4480,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13457,plain,
( ( ( sum @ ( sum @ n18 @ n3 ) @ ( sum @ n1 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13404,zip_derived_cl47,zip_derived_cl21,zip_derived_cl47,zip_derived_cl21]) ).
thf(zip_derived_cl100_4481,plain,
( ( sum @ n1 @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17909,plain,
( ( ( sum @ ( sum @ n18 @ n3 ) @ n21 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13457,zip_derived_cl100]) ).
thf(zip_derived_cl18894,plain,
( ( ( sum @ ( sum @ n18 @ n3 ) @ n21 )
!= ( sum @ n12 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl17909]) ).
thf(zip_derived_cl525_4482,plain,
( ( sum @ n18 @ n3 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl370_4483,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18906,plain,
( ( ( sum @ n21 @ n21 )
!= n16 )
<= ( ( sk__1 = n2 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18894,zip_derived_cl525,zip_derived_cl370]) ).
thf(zip_derived_cl19703,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n2 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl18906]) ).
thf('472',plain,
( ( sk_ != n19 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19703]) ).
thf(zip_derived_cl1101_4484,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_4485,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl18004,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1101,zip_derived_cl17975]) ).
thf(zip_derived_cl47_4486,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4487,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_4488,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4489,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18059,plain,
( ( ( sum @ ( sum @ n18 @ n16 ) @ ( sum @ n14 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18004,zip_derived_cl47,zip_derived_cl21,zip_derived_cl47,zip_derived_cl21]) ).
thf(zip_derived_cl538_4490,plain,
( ( sum @ n18 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438_4491,plain,
( ( sum @ n14 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_4492,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_4493,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl370_4494,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19646,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n15 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18059,zip_derived_cl538,zip_derived_cl438,zip_derived_cl270,zip_derived_cl542,zip_derived_cl370]) ).
thf('473',plain,
( ( sk_ != n19 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19646]) ).
thf(zip_derived_cl1101_4495,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_4496,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19499,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1101,zip_derived_cl19441]) ).
thf(zip_derived_cl47_4497,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_4498,plain,
( ( sum @ n18 @ n22 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4499,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl594_4500,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_4501,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_4502,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4503,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_4504,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl382_4505,plain,
( ( sum @ n12 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19563,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n21 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19499,zip_derived_cl47,zip_derived_cl544,zip_derived_cl21,zip_derived_cl594,zip_derived_cl432,zip_derived_cl47,zip_derived_cl21,zip_derived_cl542,zip_derived_cl382]) ).
thf('474',plain,
( ( sk_ != n19 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19563]) ).
thf(zip_derived_cl1101_4506,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_4507,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19212,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1101,zip_derived_cl19158]) ).
thf(zip_derived_cl47_4508,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl543_4509,plain,
( ( sum @ n18 @ n21 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4510,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl568_4511,plain,
( ( sum @ n19 @ n20 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_4512,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_4513,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4514,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_4515,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_4516,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19274,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n20 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19212,zip_derived_cl47,zip_derived_cl543,zip_derived_cl21,zip_derived_cl568,zip_derived_cl405,zip_derived_cl47,zip_derived_cl21,zip_derived_cl542,zip_derived_cl380]) ).
thf('475',plain,
( ( sk_ != n19 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19274]) ).
thf(zip_derived_cl1101_4517,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_4518,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17203,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1101,zip_derived_cl17181]) ).
thf(zip_derived_cl47_4519,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4520,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_4521,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4522,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17256,plain,
( ( ( sum @ ( sum @ n18 @ n12 ) @ ( sum @ n10 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17203,zip_derived_cl47,zip_derived_cl21,zip_derived_cl47,zip_derived_cl21]) ).
thf(zip_derived_cl534_4523,plain,
( ( sum @ n18 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334_4524,plain,
( ( sum @ n10 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_4525,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_4526,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl388_4527,plain,
( ( sum @ n12 @ n22 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19075,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n11 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17256,zip_derived_cl534,zip_derived_cl334,zip_derived_cl162,zip_derived_cl542,zip_derived_cl388]) ).
thf('476',plain,
( ( sk_ != n19 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19075]) ).
thf(zip_derived_cl542_4528,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1101_4529,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_4530,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16986,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_cl1101,zip_derived_cl16960]) ).
thf(zip_derived_cl47_4531,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4532,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_4533,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4534,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17039,plain,
( ( ( sum @ ( sum @ n18 @ n11 ) @ ( sum @ n9 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16986,zip_derived_cl47,zip_derived_cl21,zip_derived_cl47,zip_derived_cl21]) ).
thf(zip_derived_cl533_4535,plain,
( ( sum @ n18 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308_4536,plain,
( ( sum @ n9 @ n20 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_4537,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18857,plain,
( ( n6
!= ( sum @ ( sum @ n18 @ n20 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17039,zip_derived_cl533,zip_derived_cl308,zip_derived_cl135]) ).
thf(zip_derived_cl18904,plain,
( ( n6
!= ( sum @ n12 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl18857]) ).
thf(zip_derived_cl386_4538,plain,
( ( sum @ n12 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18921,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n10 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18904,zip_derived_cl386]) ).
thf('477',plain,
( ( sk_ != n19 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18921]) ).
thf(zip_derived_cl542_4539,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1101_4540,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_4541,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16752,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_cl1101,zip_derived_cl16730]) ).
thf(zip_derived_cl47_4542,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4543,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_4544,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4545,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16805,plain,
( ( ( sum @ ( sum @ n18 @ n10 ) @ ( sum @ n8 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16752,zip_derived_cl47,zip_derived_cl21,zip_derived_cl47,zip_derived_cl21]) ).
thf(zip_derived_cl282_4546,plain,
( ( sum @ n8 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18813,plain,
( ( ( sum @ ( sum @ n18 @ n10 ) @ n2 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16805,zip_derived_cl282]) ).
thf(zip_derived_cl18902,plain,
( ( ( sum @ ( sum @ n18 @ n10 ) @ n2 )
!= ( sum @ n12 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl18813]) ).
thf(zip_derived_cl532_4547,plain,
( ( sum @ n18 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_4548,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_4549,plain,
( ( sum @ n12 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18917,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n9 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18902,zip_derived_cl532,zip_derived_cl108,zip_derived_cl384]) ).
thf('478',plain,
( ( sk_ != n19 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18917]) ).
thf(zip_derived_cl542_4550,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1101_4551,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_4552,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16301,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_cl1101,zip_derived_cl16281]) ).
thf(zip_derived_cl47_4553,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4554,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_4555,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4556,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16354,plain,
( ( ( sum @ ( sum @ n18 @ n8 ) @ ( sum @ n6 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16301,zip_derived_cl47,zip_derived_cl21,zip_derived_cl47,zip_derived_cl21]) ).
thf(zip_derived_cl230_4557,plain,
( ( sum @ n6 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18573,plain,
( ( ( sum @ ( sum @ n18 @ n8 ) @ n0 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16354,zip_derived_cl230]) ).
thf(zip_derived_cl18899,plain,
( ( ( sum @ ( sum @ n18 @ n8 ) @ n0 )
!= ( sum @ n12 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl18573]) ).
thf(zip_derived_cl530_4558,plain,
( ( sum @ n18 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_4559,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_4560,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18911,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n7 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18899,zip_derived_cl530,zip_derived_cl54,zip_derived_cl380]) ).
thf('479',plain,
( ( sk_ != n19 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18911]) ).
thf(zip_derived_cl1103_4561,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_4562,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20573,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl20403]) ).
thf(zip_derived_cl49_4563,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl574_4564,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_4565,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_4566,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_4567,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_4568,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl494_4569,plain,
( ( sum @ n16 @ n24 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20625,plain,
( ( ( sum @ n20 @ ( sum @ n24 @ n22 ) )
!= n14 )
<= ( ( sk__1 = n25 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20573,zip_derived_cl49,zip_derived_cl574,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23,zip_derived_cl596,zip_derived_cl494]) ).
thf(zip_derived_cl700_4570,plain,
( ( sum @ n24 @ n22 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl594_4571,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21037,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n25 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20625,zip_derived_cl700,zip_derived_cl594]) ).
thf('480',plain,
( ( sk__1 != n25 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21037]) ).
thf(zip_derived_cl1102_4572,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_4573,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20572,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1102,zip_derived_cl20403]) ).
thf(zip_derived_cl48_4574,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl548_4575,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_4576,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_4577,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_4578,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_4579,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442_4580,plain,
( ( sum @ n14 @ n24 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20624,plain,
( ( ( sum @ n19 @ ( sum @ n24 @ n21 ) )
!= n12 )
<= ( ( sk__1 = n25 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20572,zip_derived_cl48,zip_derived_cl548,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22,zip_derived_cl569,zip_derived_cl442]) ).
thf(zip_derived_cl699_4581,plain,
( ( sum @ n24 @ n21 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl567_4582,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21035,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n25 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20624,zip_derived_cl699,zip_derived_cl567]) ).
thf('481',plain,
( ( sk__1 != n25 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21035]) ).
thf(zip_derived_cl1100_4583,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_4584,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20570,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1100,zip_derived_cl20403]) ).
thf(zip_derived_cl46_4585,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl496_4586,plain,
( ( sum @ n17 @ n0 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_4587,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_4588,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_4589,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_4590,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl338_4591,plain,
( ( sum @ n10 @ n24 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20622,plain,
( ( ( sum @ n17 @ ( sum @ n24 @ n19 ) )
!= n8 )
<= ( ( sk__1 = n25 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20570,zip_derived_cl46,zip_derived_cl496,zip_derived_cl20,zip_derived_cl46,zip_derived_cl20,zip_derived_cl515,zip_derived_cl338]) ).
thf(zip_derived_cl697_4592,plain,
( ( sum @ n24 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl513_4593,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21028,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n25 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20622,zip_derived_cl697,zip_derived_cl513]) ).
thf('482',plain,
( ( sk_ != n18 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21028]) ).
thf(zip_derived_cl1099_4594,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_4595,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20569,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1099,zip_derived_cl20403]) ).
thf(zip_derived_cl45_4596,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl470_4597,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_4598,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_4599,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_4600,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_4601,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_4602,plain,
( ( sum @ n8 @ n24 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20621,plain,
( ( ( sum @ n16 @ ( sum @ n24 @ n18 ) )
!= n6 )
<= ( ( sk__1 = n25 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20569,zip_derived_cl45,zip_derived_cl470,zip_derived_cl19,zip_derived_cl45,zip_derived_cl19,zip_derived_cl488,zip_derived_cl286]) ).
thf(zip_derived_cl696_4603,plain,
( ( sum @ n24 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486_4604,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21026,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n25 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20621,zip_derived_cl696,zip_derived_cl486]) ).
thf('483',plain,
( ( sk__1 != n25 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21026]) ).
thf(zip_derived_cl1098_4605,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_4606,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20568,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl20403]) ).
thf(zip_derived_cl44_4607,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl444_4608,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_4609,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_4610,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_4611,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_4612,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234_4613,plain,
( ( sum @ n6 @ n24 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20620,plain,
( ( ( sum @ n15 @ ( sum @ n24 @ n17 ) )
!= n4 )
<= ( ( sk__1 = n25 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20568,zip_derived_cl44,zip_derived_cl444,zip_derived_cl18,zip_derived_cl44,zip_derived_cl18,zip_derived_cl461,zip_derived_cl234]) ).
thf(zip_derived_cl695_4614,plain,
( ( sum @ n24 @ n17 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459_4615,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21024,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n25 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20620,zip_derived_cl695,zip_derived_cl459]) ).
thf('484',plain,
( ( sk__1 != n25 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21024]) ).
thf(zip_derived_cl1095_4616,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_4617,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20565,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1095,zip_derived_cl20403]) ).
thf(zip_derived_cl41_4618,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl366_4619,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4620,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_4621,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4622,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_4623,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_4624,plain,
( ( sum @ n0 @ n24 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20617,plain,
( ( ( sum @ n12 @ ( sum @ n24 @ n14 ) )
!= n24 )
<= ( ( sk__1 = n25 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20565,zip_derived_cl41,zip_derived_cl366,zip_derived_cl15,zip_derived_cl41,zip_derived_cl15,zip_derived_cl380,zip_derived_cl78]) ).
thf(zip_derived_cl692_4625,plain,
( ( sum @ n24 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_4626,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21015,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n25 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20617,zip_derived_cl692,zip_derived_cl378]) ).
thf('485',plain,
( ( sk__1 != n25 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21015]) ).
thf(zip_derived_cl1093_4627,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_4628,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20563,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1093,zip_derived_cl20403]) ).
thf(zip_derived_cl39_4629,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl314_4630,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_4631,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4632,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_4633,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_4634,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl650_4635,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20615,plain,
( ( ( sum @ n10 @ ( sum @ n24 @ n12 ) )
!= n20 )
<= ( ( sk__1 = n25 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20563,zip_derived_cl39,zip_derived_cl314,zip_derived_cl13,zip_derived_cl39,zip_derived_cl13,zip_derived_cl326,zip_derived_cl650]) ).
thf(zip_derived_cl690_4636,plain,
( ( sum @ n24 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_4637,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21013,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n25 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20615,zip_derived_cl690,zip_derived_cl324]) ).
thf('486',plain,
( ( sk__1 != n25 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21013]) ).
thf(zip_derived_cl1092_4638,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_4639,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20562,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1092,zip_derived_cl20403]) ).
thf(zip_derived_cl38_4640,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_4641,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4642,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_4643,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4644,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_4645,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl598_4646,plain,
( ( sum @ n20 @ n24 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20614,plain,
( ( ( sum @ n9 @ ( sum @ n24 @ n11 ) )
!= n18 )
<= ( ( sk__1 = n25 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20562,zip_derived_cl38,zip_derived_cl288,zip_derived_cl12,zip_derived_cl38,zip_derived_cl12,zip_derived_cl299,zip_derived_cl598]) ).
thf(zip_derived_cl689_4647,plain,
( ( sum @ n24 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_4648,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21008,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n25 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20614,zip_derived_cl689,zip_derived_cl297]) ).
thf('487',plain,
( ( sk__1 != n25 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21008]) ).
thf(zip_derived_cl1089_4649,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_4650,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20559,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1089,zip_derived_cl20403]) ).
thf(zip_derived_cl35_4651,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210_4652,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4653,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_4654,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4655,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_4656,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442_4657,plain,
( ( sum @ n14 @ n24 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20611,plain,
( ( ( sum @ n6 @ ( sum @ n24 @ n8 ) )
!= n12 )
<= ( ( sk__1 = n25 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20559,zip_derived_cl35,zip_derived_cl210,zip_derived_cl9,zip_derived_cl35,zip_derived_cl9,zip_derived_cl218,zip_derived_cl442]) ).
thf(zip_derived_cl686_4658,plain,
( ( sum @ n24 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_4659,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20999,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n25 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20611,zip_derived_cl686,zip_derived_cl216]) ).
thf('488',plain,
( ( sk__1 != n25 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20999]) ).
thf(zip_derived_cl1085_4660,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_4661,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20555,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1085,zip_derived_cl20403]) ).
thf(zip_derived_cl31_4662,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106_4663,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_4664,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_4665,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_4666,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_4667,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234_4668,plain,
( ( sum @ n6 @ n24 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20607,plain,
( ( ( sum @ n2 @ ( sum @ n24 @ n4 ) )
!= n4 )
<= ( ( sk__1 = n25 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20555,zip_derived_cl31,zip_derived_cl106,zip_derived_cl5,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110,zip_derived_cl234]) ).
thf(zip_derived_cl682_4669,plain,
( ( sum @ n24 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_4670,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20988,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n25 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20607,zip_derived_cl682,zip_derived_cl108]) ).
thf('489',plain,
( ( sk_ != n3 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20988]) ).
thf(zip_derived_cl1084_4671,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_4672,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20554,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1084,zip_derived_cl20403]) ).
thf(zip_derived_cl30_4673,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_4674,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_4675,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_4676,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_4677,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_4678,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182_4679,plain,
( ( sum @ n4 @ n24 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20606,plain,
( ( ( sum @ n1 @ ( sum @ n24 @ n3 ) )
!= n2 )
<= ( ( sk__1 = n25 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20554,zip_derived_cl30,zip_derived_cl80,zip_derived_cl4,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl182]) ).
thf(zip_derived_cl681_4680,plain,
( ( sum @ n24 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_4681,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20986,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n25 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20606,zip_derived_cl681,zip_derived_cl81]) ).
thf('490',plain,
( ( sk__1 != n25 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20986]) ).
thf(zip_derived_cl702_4682,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1095_4683,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_4684,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17197,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1095,zip_derived_cl17181]) ).
thf(zip_derived_cl41_4685,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4686,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_4687,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4688,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17250,plain,
( ( ( sum @ ( sum @ n12 @ n12 ) @ ( sum @ n10 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17197,zip_derived_cl41,zip_derived_cl15,zip_derived_cl41,zip_derived_cl15]) ).
thf(zip_derived_cl378_4689,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl328_4690,plain,
( ( sum @ n10 @ n14 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_4691,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_4692,plain,
( ( sum @ n0 @ n22 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19065,plain,
( ( ( sum @ n24 @ n24 )
!= n22 )
<= ( ( sk__1 = n11 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17250,zip_derived_cl378,zip_derived_cl328,zip_derived_cl380,zip_derived_cl76]) ).
thf(zip_derived_cl20781,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n11 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl19065]) ).
thf('491',plain,
( ( sk_ != n13 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20781]) ).
thf(zip_derived_cl675_4693,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1095_4694,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_4695,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16980,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_cl1095,zip_derived_cl16960]) ).
thf(zip_derived_cl41_4696,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4697,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_4698,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4699,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17033,plain,
( ( ( sum @ ( sum @ n12 @ n11 ) @ ( sum @ n9 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16980,zip_derived_cl41,zip_derived_cl15,zip_derived_cl41,zip_derived_cl15]) ).
thf(zip_derived_cl377_4700,plain,
( ( sum @ n12 @ n11 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl302_4701,plain,
( ( sum @ n9 @ n14 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_4702,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_4703,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18845,plain,
( ( ( sum @ n23 @ n23 )
!= n20 )
<= ( ( sk__1 = n10 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17033,zip_derived_cl377,zip_derived_cl302,zip_derived_cl380,zip_derived_cl74]) ).
thf(zip_derived_cl20297,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n10 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl18845]) ).
thf('492',plain,
( ( sk_ != n13 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20297]) ).
thf(zip_derived_cl648_4704,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1095_4705,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_4706,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16746,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_cl1095,zip_derived_cl16730]) ).
thf(zip_derived_cl41_4707,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4708,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_4709,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4710,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16799,plain,
( ( ( sum @ ( sum @ n12 @ n10 ) @ ( sum @ n8 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16746,zip_derived_cl41,zip_derived_cl15,zip_derived_cl41,zip_derived_cl15]) ).
thf(zip_derived_cl376_4711,plain,
( ( sum @ n12 @ n10 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276_4712,plain,
( ( sum @ n8 @ n14 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_4713,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_4714,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18801,plain,
( ( ( sum @ n22 @ n22 )
!= n18 )
<= ( ( sk__1 = n9 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16799,zip_derived_cl376,zip_derived_cl276,zip_derived_cl380,zip_derived_cl72]) ).
thf(zip_derived_cl19999,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n9 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl18801]) ).
thf('493',plain,
( ( sk_ != n13 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19999]) ).
thf(zip_derived_cl1095_4715,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_4716,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19493,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1095,zip_derived_cl19441]) ).
thf(zip_derived_cl41_4717,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl388_4718,plain,
( ( sum @ n12 @ n22 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4719,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl588_4720,plain,
( ( sum @ n20 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_4721,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_4722,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4723,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_4724,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_4725,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19551,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n21 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19493,zip_derived_cl41,zip_derived_cl388,zip_derived_cl15,zip_derived_cl588,zip_derived_cl270,zip_derived_cl41,zip_derived_cl15,zip_derived_cl380,zip_derived_cl70]) ).
thf('494',plain,
( ( sk_ != n13 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19551]) ).
thf(zip_derived_cl594_4726,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1095_4727,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_4728,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16295,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_cl1095,zip_derived_cl16281]) ).
thf(zip_derived_cl41_4729,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4730,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_4731,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4732,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16348,plain,
( ( ( sum @ ( sum @ n12 @ n8 ) @ ( sum @ n6 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16295,zip_derived_cl41,zip_derived_cl15,zip_derived_cl41,zip_derived_cl15]) ).
thf(zip_derived_cl374_4733,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_4734,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_4735,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4736,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18567,plain,
( ( ( sum @ n20 @ n20 )
!= n14 )
<= ( ( sk__1 = n7 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16348,zip_derived_cl374,zip_derived_cl224,zip_derived_cl380,zip_derived_cl68]) ).
thf(zip_derived_cl19417,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n7 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl18567]) ).
thf('495',plain,
( ( sk_ != n13 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19417]) ).
thf(zip_derived_cl1095_4737,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_4738,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19206,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1095,zip_derived_cl19158]) ).
thf(zip_derived_cl41_4739,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl387_4740,plain,
( ( sum @ n12 @ n21 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4741,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl562_4742,plain,
( ( sum @ n19 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_4743,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_4744,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4745,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_4746,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4747,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19262,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n20 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19206,zip_derived_cl41,zip_derived_cl387,zip_derived_cl15,zip_derived_cl562,zip_derived_cl243,zip_derived_cl41,zip_derived_cl15,zip_derived_cl380,zip_derived_cl68]) ).
thf('496',plain,
( ( sk_ != n13 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19262]) ).
thf(zip_derived_cl540_4748,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1095_4749,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_4750,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15192,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_cl1095,zip_derived_cl15178]) ).
thf(zip_derived_cl41_4751,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4752,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_4753,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4754,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15245,plain,
( ( ( sum @ ( sum @ n12 @ n6 ) @ ( sum @ n4 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15192,zip_derived_cl41,zip_derived_cl15,zip_derived_cl41,zip_derived_cl15]) ).
thf(zip_derived_cl372_4755,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172_4756,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_4757,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4758,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18323,plain,
( ( ( sum @ n18 @ n18 )
!= n10 )
<= ( ( sk__1 = n5 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15245,zip_derived_cl372,zip_derived_cl172,zip_derived_cl380,zip_derived_cl64]) ).
thf(zip_derived_cl18873,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n5 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl18323]) ).
thf('497',plain,
( ( sk_ != n13 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18873]) ).
thf(zip_derived_cl1095_4759,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_4760,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18455,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1095,zip_derived_cl18424]) ).
thf(zip_derived_cl41_4761,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_4762,plain,
( ( sum @ n12 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4763,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl484_4764,plain,
( ( sum @ n16 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_4765,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_4766,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4767,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_4768,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_4769,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18507,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n17 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18455,zip_derived_cl41,zip_derived_cl384,zip_derived_cl15,zip_derived_cl484,zip_derived_cl162,zip_derived_cl41,zip_derived_cl15,zip_derived_cl380,zip_derived_cl62]) ).
thf('498',plain,
( ( sk_ != n13 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18507]) ).
thf(zip_derived_cl459_4770,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1095_4771,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_4772,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13398,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_cl1095,zip_derived_cl13384]) ).
thf(zip_derived_cl41_4773,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4774,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_4775,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4776,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13451,plain,
( ( ( sum @ ( sum @ n12 @ n3 ) @ ( sum @ n1 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13398,zip_derived_cl41,zip_derived_cl15,zip_derived_cl41,zip_derived_cl15]) ).
thf(zip_derived_cl369_4777,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94_4778,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_4779,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_4780,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17901,plain,
( ( ( sum @ n15 @ n15 )
!= n4 )
<= ( ( sk__1 = n2 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13451,zip_derived_cl369,zip_derived_cl94,zip_derived_cl380,zip_derived_cl58]) ).
thf(zip_derived_cl18189,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n2 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl17901]) ).
thf('499',plain,
( ( sk_ != n13 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18189]) ).
thf(zip_derived_cl1095_4781,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_4782,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl17998,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1095,zip_derived_cl17975]) ).
thf(zip_derived_cl41_4783,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl382_4784,plain,
( ( sum @ n12 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4785,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_4786,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_4787,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_4788,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4789,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_4790,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_4791,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18050,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n15 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17998,zip_derived_cl41,zip_derived_cl382,zip_derived_cl15,zip_derived_cl432,zip_derived_cl108,zip_derived_cl41,zip_derived_cl15,zip_derived_cl380,zip_derived_cl58]) ).
thf('500',plain,
( ( sk_ != n13 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18050]) ).
thf(zip_derived_cl729_4792,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_4793,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1100_4794,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_4795,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16300,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_cl1100,zip_derived_cl16281]) ).
thf(zip_derived_cl46_4796,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_4797,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_4798,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_4799,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16353,plain,
( ( ( sum @ ( sum @ n17 @ n8 ) @ ( sum @ n6 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16300,zip_derived_cl46,zip_derived_cl20,zip_derived_cl46,zip_derived_cl20]) ).
thf(zip_derived_cl229_4800,plain,
( ( sum @ n6 @ n19 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18572,plain,
( ( ( sum @ ( sum @ n17 @ n8 ) @ n25 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16353,zip_derived_cl229]) ).
thf(zip_derived_cl18657,plain,
( ( ( sum @ ( sum @ n17 @ n8 ) @ n25 )
!= ( sum @ n10 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl18572]) ).
thf(zip_derived_cl504_4801,plain,
( ( sum @ n17 @ n8 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl328_4802,plain,
( ( sum @ n10 @ n14 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18666,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n7 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18657,zip_derived_cl504,zip_derived_cl328]) ).
thf(zip_derived_cl21128,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n7 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl18666]) ).
thf('501',plain,
( ( sk_ != n18 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21128]) ).
thf(zip_derived_cl702_4803,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1099_4804,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_4805,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16299,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_cl1099,zip_derived_cl16281]) ).
thf(zip_derived_cl45_4806,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_4807,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_4808,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_4809,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16352,plain,
( ( ( sum @ ( sum @ n16 @ n8 ) @ ( sum @ n6 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16299,zip_derived_cl45,zip_derived_cl19,zip_derived_cl45,zip_derived_cl19]) ).
thf(zip_derived_cl478_4810,plain,
( ( sum @ n16 @ n8 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228_4811,plain,
( ( sum @ n6 @ n18 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_4812,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276_4813,plain,
( ( sum @ n8 @ n14 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18571,plain,
( ( ( sum @ n24 @ n24 )
!= n22 )
<= ( ( sk__1 = n7 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16352,zip_derived_cl478,zip_derived_cl228,zip_derived_cl488,zip_derived_cl276]) ).
thf(zip_derived_cl20773,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n7 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl18571]) ).
thf('502',plain,
( ( sk__1 != n7 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20773]) ).
thf(zip_derived_cl675_4814,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1098_4815,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_4816,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16298,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_cl1098,zip_derived_cl16281]) ).
thf(zip_derived_cl44_4817,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_4818,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_4819,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_4820,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16351,plain,
( ( ( sum @ ( sum @ n15 @ n8 ) @ ( sum @ n6 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16298,zip_derived_cl44,zip_derived_cl18,zip_derived_cl44,zip_derived_cl18]) ).
thf(zip_derived_cl452_4821,plain,
( ( sum @ n15 @ n8 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227_4822,plain,
( ( sum @ n6 @ n17 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_4823,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_4824,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18570,plain,
( ( ( sum @ n23 @ n23 )
!= n20 )
<= ( ( sk__1 = n7 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16351,zip_derived_cl452,zip_derived_cl227,zip_derived_cl461,zip_derived_cl224]) ).
thf(zip_derived_cl20292,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n7 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl18570]) ).
thf('503',plain,
( ( sk__1 != n7 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20292]) ).
thf(zip_derived_cl640_4825,plain,
( ( sum @ n22 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_4826,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_4827,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16293,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_cl1093,zip_derived_cl16281]) ).
thf(zip_derived_cl39_4828,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_4829,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4830,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_4831,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16346,plain,
( ( ( sum @ ( sum @ n10 @ n8 ) @ ( sum @ n6 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16293,zip_derived_cl39,zip_derived_cl13,zip_derived_cl39,zip_derived_cl13]) ).
thf(zip_derived_cl322_4832,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_4833,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_4834,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18565,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ n22 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16346,zip_derived_cl322,zip_derived_cl222,zip_derived_cl326]) ).
thf(zip_derived_cl19941,plain,
( ( ( sum @ n18 @ n18 )
!= n10 )
<= ( ( sk__1 = n7 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl640,zip_derived_cl18565]) ).
thf(zip_derived_cl540_4835,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19943,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n7 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19941,zip_derived_cl540]) ).
thf('504',plain,
( ( sk__1 != n7 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19943]) ).
thf(zip_derived_cl596_4836,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_4837,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_4838,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16303,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl16281]) ).
thf(zip_derived_cl49_4839,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_4840,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_4841,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_4842,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16356,plain,
( ( ( sum @ ( sum @ n20 @ n8 ) @ ( sum @ n6 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16303,zip_derived_cl49,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23]) ).
thf(zip_derived_cl232_4843,plain,
( ( sum @ n6 @ n22 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18575,plain,
( ( ( sum @ ( sum @ n20 @ n8 ) @ n2 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16356,zip_derived_cl232]) ).
thf(zip_derived_cl19448,plain,
( ( ( sum @ ( sum @ n20 @ n8 ) @ n2 )
!= ( sum @ n16 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl18575]) ).
thf(zip_derived_cl582_4844,plain,
( ( sum @ n20 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_4845,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl484_4846,plain,
( ( sum @ n16 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19464,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n7 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19448,zip_derived_cl582,zip_derived_cl108,zip_derived_cl484]) ).
thf('505',plain,
( ( sk__1 != n7 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19464]) ).
thf(zip_derived_cl588_4847,plain,
( ( sum @ n20 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1092_4848,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_4849,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16292,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_cl1092,zip_derived_cl16281]) ).
thf(zip_derived_cl38_4850,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4851,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_4852,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4853,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16345,plain,
( ( ( sum @ ( sum @ n9 @ n8 ) @ ( sum @ n6 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16292,zip_derived_cl38,zip_derived_cl12,zip_derived_cl38,zip_derived_cl12]) ).
thf(zip_derived_cl296,plain,
( ( sum @ n9 @ n8 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221,plain,
( ( sum @ n6 @ n11 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_4854,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18564,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ n20 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16345,zip_derived_cl296,zip_derived_cl221,zip_derived_cl299]) ).
thf(zip_derived_cl19357,plain,
( ( ( sum @ n17 @ n17 )
!= n8 )
<= ( ( sk__1 = n7 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl588,zip_derived_cl18564]) ).
thf(zip_derived_cl513_4855,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19359,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n7 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19357,zip_derived_cl513]) ).
thf('506',plain,
( ( sk__1 != n7 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19359]) ).
thf(zip_derived_cl569_4856,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102_4857,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_4858,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16302,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_cl1102,zip_derived_cl16281]) ).
thf(zip_derived_cl48_4859,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_4860,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_4861,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_4862,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16355,plain,
( ( ( sum @ ( sum @ n19 @ n8 ) @ ( sum @ n6 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16302,zip_derived_cl48,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22]) ).
thf(zip_derived_cl231,plain,
( ( sum @ n6 @ n21 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18574,plain,
( ( ( sum @ ( sum @ n19 @ n8 ) @ n1 )
!= ( sum @ ( sum @ n19 @ n21 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16355,zip_derived_cl231]) ).
thf(zip_derived_cl19165,plain,
( ( ( sum @ ( sum @ n19 @ n8 ) @ n1 )
!= ( sum @ n14 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl18574]) ).
thf(zip_derived_cl556,plain,
( ( sum @ n19 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_4863,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_4864,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19179,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n7 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19165,zip_derived_cl556,zip_derived_cl81,zip_derived_cl432]) ).
thf('507',plain,
( ( sk__1 != n7 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19179]) ).
thf(zip_derived_cl1085_4865,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_4866,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16285,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_cl1085,zip_derived_cl16281]) ).
thf(zip_derived_cl31_4867,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114_4868,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_4869,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_4870,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_4871,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_4872,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16337,plain,
( ( ( sum @ n10 @ n10 )
!= ( sum @ n6 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16285,zip_derived_cl31,zip_derived_cl114,zip_derived_cl5,zip_derived_cl214,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110]) ).
thf(zip_derived_cl324_4873,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_4874,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17378,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n7 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16337,zip_derived_cl324,zip_derived_cl224]) ).
thf('508',plain,
( ( sk_ != n3 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17378]) ).
thf(zip_derived_cl297_4875,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1084_4876,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_4877,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16284,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_cl1084,zip_derived_cl16281]) ).
thf(zip_derived_cl30_4878,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_4879,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl213,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_4880,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_4881,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_4882,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172_4883,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16336,plain,
( ( ( sum @ n9 @ n9 )
!= n18 )
<= ( ( sk__1 = n7 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16284,zip_derived_cl30,zip_derived_cl88,zip_derived_cl4,zip_derived_cl213,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl172]) ).
thf(zip_derived_cl16947,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n7 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl16336]) ).
thf('509',plain,
( ( sk__1 != n7 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16947]) ).
thf(zip_derived_cl1089_4884,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl3214_4885,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_cl1147,zip_derived_cl9,zip_derived_cl9]) ).
thf(zip_derived_cl3222,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_cl1089,zip_derived_cl3214]) ).
thf(zip_derived_cl9_4886,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4887,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3274,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_cl3222,zip_derived_cl9,zip_derived_cl9]) ).
thf('510',plain,
( ( sk__1 != n7 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3274]) ).
thf(zip_derived_cl729_4888,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1092_4889,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_4890,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl17995,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1092,zip_derived_cl17975]) ).
thf(zip_derived_cl38_4891,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl304_4892,plain,
( ( sum @ n9 @ n16 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4893,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl429_4894,plain,
( ( sum @ n14 @ n11 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_4895,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4896,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_4897,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18047,plain,
( ( ( sum @ n25 @ n25 )
!= ( sum @ n20 @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17995,zip_derived_cl38,zip_derived_cl304,zip_derived_cl12,zip_derived_cl429,zip_derived_cl38,zip_derived_cl12,zip_derived_cl299]) ).
thf(zip_derived_cl21124,plain,
( ( n24
!= ( sum @ n20 @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl18047]) ).
thf(zip_derived_cl578_4898,plain,
( ( sum @ n20 @ n4 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21151,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n15 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21124,zip_derived_cl578]) ).
thf('511',plain,
( ( sk_ != n10 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21151]) ).
thf(zip_derived_cl621_4899,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1092_4900,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_4901,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17194,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1092,zip_derived_cl17181]) ).
thf(zip_derived_cl38_4902,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl300,plain,
( ( sum @ n9 @ n12 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4903,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl325,plain,
( ( sum @ n10 @ n11 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_4904,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4905,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_4906,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17246,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ n20 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17194,zip_derived_cl38,zip_derived_cl300,zip_derived_cl12,zip_derived_cl325,zip_derived_cl38,zip_derived_cl12,zip_derived_cl299]) ).
thf(zip_derived_cl19689,plain,
( ( n16
!= ( sum @ n20 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl17246]) ).
thf(zip_derived_cl596_4907,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19707,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n11 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19689,zip_derived_cl596]) ).
thf('512',plain,
( ( sk_ != n10 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19707]) ).
thf(zip_derived_cl1092_4908,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_4909,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19490,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1092,zip_derived_cl19441]) ).
thf(zip_derived_cl38_4910,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310,plain,
( ( sum @ n9 @ n22 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4911,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl585,plain,
( ( sum @ n20 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_4912,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_4913,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4914,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_4915,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl590_4916,plain,
( ( sum @ n20 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19547,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n21 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19490,zip_derived_cl38,zip_derived_cl310,zip_derived_cl12,zip_derived_cl585,zip_derived_cl189,zip_derived_cl38,zip_derived_cl12,zip_derived_cl299,zip_derived_cl590]) ).
thf('513',plain,
( ( sk_ != n10 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19547]) ).
thf(zip_derived_cl592_4917,plain,
( ( sum @ n20 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1092_4918,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_4919,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16743,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_cl1092,zip_derived_cl16730]) ).
thf(zip_derived_cl38_4920,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4921,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_4922,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4923,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16796,plain,
( ( ( sum @ ( sum @ n9 @ n10 ) @ ( sum @ n8 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16743,zip_derived_cl38,zip_derived_cl12,zip_derived_cl38,zip_derived_cl12]) ).
thf(zip_derived_cl298_4924,plain,
( ( sum @ n9 @ n10 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl273_4925,plain,
( ( sum @ n8 @ n11 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_4926,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18798,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ n20 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16796,zip_derived_cl298,zip_derived_cl273,zip_derived_cl299]) ).
thf(zip_derived_cl19391,plain,
( ( ( sum @ n19 @ n19 )
!= n12 )
<= ( ( sk__1 = n9 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl592,zip_derived_cl18798]) ).
thf(zip_derived_cl567_4927,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19392,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n9 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19391,zip_derived_cl567]) ).
thf('514',plain,
( ( sk_ != n10 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19392]) ).
thf(zip_derived_cl588_4928,plain,
( ( sum @ n20 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1092_4929,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_4930,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19203,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1092,zip_derived_cl19158]) ).
thf(zip_derived_cl38_4931,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl309,plain,
( ( sum @ n9 @ n21 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4932,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl559,plain,
( ( sum @ n19 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_4933,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_4934,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4935,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_4936,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19259,plain,
( ( n8
!= ( sum @ n20 @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19203,zip_derived_cl38,zip_derived_cl309,zip_derived_cl12,zip_derived_cl559,zip_derived_cl162,zip_derived_cl38,zip_derived_cl12,zip_derived_cl299]) ).
thf(zip_derived_cl19358,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n20 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl588,zip_derived_cl19259]) ).
thf('515',plain,
( ( sk_ != n10 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19358]) ).
thf(zip_derived_cl584_4937,plain,
( ( sum @ n20 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1092_4938,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_4939,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15189,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_cl1092,zip_derived_cl15178]) ).
thf(zip_derived_cl38_4940,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4941,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_4942,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4943,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15242,plain,
( ( ( sum @ ( sum @ n9 @ n6 ) @ ( sum @ n4 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15189,zip_derived_cl38,zip_derived_cl12,zip_derived_cl38,zip_derived_cl12]) ).
thf(zip_derived_cl294_4944,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl169_4945,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_4946,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18179,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ n20 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15242,zip_derived_cl294,zip_derived_cl169,zip_derived_cl299]) ).
thf(zip_derived_cl19333,plain,
( ( ( sum @ n15 @ n15 )
!= n4 )
<= ( ( sk__1 = n5 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl584,zip_derived_cl18179]) ).
thf(zip_derived_cl459_4947,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19336,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n5 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19333,zip_derived_cl459]) ).
thf('516',plain,
( ( sk_ != n10 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19336]) ).
thf(zip_derived_cl582_4948,plain,
( ( sum @ n20 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1092_4949,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_4950,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18452,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1092,zip_derived_cl18424]) ).
thf(zip_derived_cl38_4951,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl306,plain,
( ( sum @ n9 @ n18 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4952,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl481,plain,
( ( sum @ n16 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_4953,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_4954,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4955,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_4956,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18504,plain,
( ( n2
!= ( sum @ n20 @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18452,zip_derived_cl38,zip_derived_cl306,zip_derived_cl12,zip_derived_cl481,zip_derived_cl81,zip_derived_cl38,zip_derived_cl12,zip_derived_cl299]) ).
thf(zip_derived_cl19330,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n17 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl18504]) ).
thf('517',plain,
( ( sk_ != n10 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19330]) ).
thf(zip_derived_cl578_4957,plain,
( ( sum @ n20 @ n4 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1092_4958,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_4959,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13395,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_cl1092,zip_derived_cl13384]) ).
thf(zip_derived_cl38_4960,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4961,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_4962,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4963,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13448,plain,
( ( ( sum @ ( sum @ n9 @ n3 ) @ ( sum @ n1 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13395,zip_derived_cl38,zip_derived_cl12,zip_derived_cl38,zip_derived_cl12]) ).
thf(zip_derived_cl291,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_4964,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_4965,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17898,plain,
( ( n24
!= ( sum @ n20 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13448,zip_derived_cl291,zip_derived_cl91,zip_derived_cl378,zip_derived_cl299]) ).
thf(zip_derived_cl19323,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n2 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl17898]) ).
thf('518',plain,
( ( sk_ != n10 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19323]) ).
thf(zip_derived_cl1092_4966,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl3500_4967,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_cl1177,zip_derived_cl12,zip_derived_cl12]) ).
thf(zip_derived_cl3511,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_cl1092,zip_derived_cl3500]) ).
thf(zip_derived_cl12_4968,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4969,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3563,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_cl3511,zip_derived_cl12,zip_derived_cl12]) ).
thf('519',plain,
( ( sk_ != n10 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3563]) ).
thf(zip_derived_cl675_4970,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_4971,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_4972,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_4973,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13406,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl13384]) ).
thf(zip_derived_cl49_4974,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_4975,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_4976,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_4977,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13459,plain,
( ( ( sum @ ( sum @ n20 @ n3 ) @ ( sum @ n1 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13406,zip_derived_cl49,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23]) ).
thf(zip_derived_cl102,plain,
( ( sum @ n1 @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17911,plain,
( ( ( sum @ ( sum @ n20 @ n3 ) @ n23 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13459,zip_derived_cl102]) ).
thf(zip_derived_cl19443,plain,
( ( ( sum @ ( sum @ n20 @ n3 ) @ n23 )
!= ( sum @ n16 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl17911]) ).
thf(zip_derived_cl577,plain,
( ( sum @ n20 @ n3 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl474_4978,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19457,plain,
( ( ( sum @ n23 @ n23 )
!= n20 )
<= ( ( sk__1 = n2 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19443,zip_derived_cl577,zip_derived_cl474]) ).
thf(zip_derived_cl20302,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n2 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl19457]) ).
thf('520',plain,
( ( sk__1 != n2 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20302]) ).
thf(zip_derived_cl648_4979,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_4980,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102_4981,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_4982,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13405,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_cl1102,zip_derived_cl13384]) ).
thf(zip_derived_cl48_4983,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_4984,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_4985,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_4986,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13458,plain,
( ( ( sum @ ( sum @ n19 @ n3 ) @ ( sum @ n1 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13405,zip_derived_cl48,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22]) ).
thf(zip_derived_cl101,plain,
( ( sum @ n1 @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17910,plain,
( ( ( sum @ ( sum @ n19 @ n3 ) @ n22 )
!= ( sum @ ( sum @ n19 @ n21 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13458,zip_derived_cl101]) ).
thf(zip_derived_cl19160,plain,
( ( ( sum @ ( sum @ n19 @ n3 ) @ n22 )
!= ( sum @ n14 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl17910]) ).
thf(zip_derived_cl551,plain,
( ( sum @ n19 @ n3 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl422,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19173,plain,
( ( ( sum @ n22 @ n22 )
!= n18 )
<= ( ( sk__1 = n2 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19160,zip_derived_cl551,zip_derived_cl422]) ).
thf(zip_derived_cl20002,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n2 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl19173]) ).
thf('521',plain,
( ( sk__1 != n2 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20002]) ).
thf(zip_derived_cl630_4987,plain,
( ( sum @ n22 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_4988,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_4989,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13396,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_cl1093,zip_derived_cl13384]) ).
thf(zip_derived_cl39_4990,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_4991,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4992,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_4993,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13449,plain,
( ( ( sum @ ( sum @ n10 @ n3 ) @ ( sum @ n1 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13396,zip_derived_cl39,zip_derived_cl13,zip_derived_cl39,zip_derived_cl13]) ).
thf(zip_derived_cl317,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_4994,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_4995,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17899,plain,
( ( n0
!= ( sum @ n22 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13449,zip_derived_cl317,zip_derived_cl92,zip_derived_cl405,zip_derived_cl326]) ).
thf(zip_derived_cl19915,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n2 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl630,zip_derived_cl17899]) ).
thf('522',plain,
( ( sk__1 != n2 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19915]) ).
thf(zip_derived_cl594_4996,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_4997,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1100_4998,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_4999,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13403,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_cl1100,zip_derived_cl13384]) ).
thf(zip_derived_cl46_5000,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_5001,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_5002,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_5003,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13456,plain,
( ( ( sum @ ( sum @ n17 @ n3 ) @ ( sum @ n1 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13403,zip_derived_cl46,zip_derived_cl20,zip_derived_cl46,zip_derived_cl20]) ).
thf(zip_derived_cl99_5004,plain,
( ( sum @ n1 @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17908,plain,
( ( ( sum @ ( sum @ n17 @ n3 ) @ n20 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13456,zip_derived_cl99]) ).
thf(zip_derived_cl18652,plain,
( ( ( sum @ ( sum @ n17 @ n3 ) @ n20 )
!= ( sum @ n10 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl17908]) ).
thf(zip_derived_cl499_5005,plain,
( ( sum @ n17 @ n3 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl318_5006,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18661,plain,
( ( ( sum @ n20 @ n20 )
!= n14 )
<= ( ( sk__1 = n2 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18652,zip_derived_cl499,zip_derived_cl318]) ).
thf(zip_derived_cl19418,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n2 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl18661]) ).
thf('523',plain,
( ( sk_ != n18 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19418]) ).
thf(zip_derived_cl567_5007,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_5008,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1099_5009,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_5010,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13402,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_cl1099,zip_derived_cl13384]) ).
thf(zip_derived_cl45_5011,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5012,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_5013,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5014,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13455,plain,
( ( ( sum @ ( sum @ n16 @ n3 ) @ ( sum @ n1 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13402,zip_derived_cl45,zip_derived_cl19,zip_derived_cl45,zip_derived_cl19]) ).
thf(zip_derived_cl98,plain,
( ( sum @ n1 @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17907,plain,
( ( ( sum @ ( sum @ n16 @ n3 ) @ n19 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13455,zip_derived_cl98]) ).
thf(zip_derived_cl18426,plain,
( ( ( sum @ ( sum @ n16 @ n3 ) @ n19 )
!= ( sum @ n8 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl17907]) ).
thf(zip_derived_cl473,plain,
( ( sum @ n16 @ n3 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_5015,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18434,plain,
( ( ( sum @ n19 @ n19 )
!= n12 )
<= ( ( sk__1 = n2 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18426,zip_derived_cl473,zip_derived_cl266]) ).
thf(zip_derived_cl19136,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n2 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl18434]) ).
thf('524',plain,
( ( sk__1 != n2 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19136]) ).
thf(zip_derived_cl540_5016,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_5017,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1098_5018,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_5019,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13401,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_cl1098,zip_derived_cl13384]) ).
thf(zip_derived_cl44_5020,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5021,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_5022,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5023,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13454,plain,
( ( ( sum @ ( sum @ n15 @ n3 ) @ ( sum @ n1 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13401,zip_derived_cl44,zip_derived_cl18,zip_derived_cl44,zip_derived_cl18]) ).
thf(zip_derived_cl97_5024,plain,
( ( sum @ n1 @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17906,plain,
( ( ( sum @ ( sum @ n15 @ n3 ) @ n18 )
!= ( sum @ ( sum @ n15 @ n17 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13454,zip_derived_cl97]) ).
thf(zip_derived_cl18203,plain,
( ( ( sum @ ( sum @ n15 @ n3 ) @ n18 )
!= ( sum @ n6 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl17906]) ).
thf(zip_derived_cl447_5025,plain,
( ( sum @ n15 @ n3 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214_5026,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18207,plain,
( ( ( sum @ n18 @ n18 )
!= n10 )
<= ( ( sk__1 = n2 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18203,zip_derived_cl447,zip_derived_cl214]) ).
thf(zip_derived_cl18871,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n2 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl18207]) ).
thf('525',plain,
( ( sk__1 != n2 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18871]) ).
thf(zip_derived_cl422_5027,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1089_5028,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_5029,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13392,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_cl1089,zip_derived_cl13384]) ).
thf(zip_derived_cl35_5030,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_5031,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_5032,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_5033,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13445,plain,
( ( ( sum @ ( sum @ n6 @ n3 ) @ ( sum @ n1 @ n8 ) )
!= ( sum @ ( sum @ n6 @ n8 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13392,zip_derived_cl35,zip_derived_cl9,zip_derived_cl35,zip_derived_cl9]) ).
thf(zip_derived_cl213_5034,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_5035,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_5036,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_5037,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17895,plain,
( ( n18
!= ( sum @ n14 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13445,zip_derived_cl213,zip_derived_cl88,zip_derived_cl297,zip_derived_cl218]) ).
thf(zip_derived_cl17903,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n2 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl17895]) ).
thf('526',plain,
( ( sk__1 != n2 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17903]) ).
thf(zip_derived_cl1085_5038,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_5039,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13388,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_cl1085,zip_derived_cl13384]) ).
thf(zip_derived_cl31_5040,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_5041,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_5042,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_5043,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13441,plain,
( ( ( sum @ ( sum @ n2 @ n3 ) @ ( sum @ n1 @ n4 ) )
!= ( sum @ ( sum @ n2 @ n4 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13388,zip_derived_cl31,zip_derived_cl5,zip_derived_cl31,zip_derived_cl5]) ).
thf(zip_derived_cl109,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_5044,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_5045,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214_5046,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17885,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n2 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13441,zip_derived_cl109,zip_derived_cl84,zip_derived_cl189,zip_derived_cl110,zip_derived_cl214]) ).
thf('527',plain,
( ( sk_ != n3 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17885]) ).
thf(zip_derived_cl1058_5047,plain,
( ( sk__1 = n2 )
<= ( sk__1 = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1084_5048,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl0_5049,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_cl1529,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_cl1084,zip_derived_cl0]) ).
thf(zip_derived_cl4_5050,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_5051,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533,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_cl1529,zip_derived_cl4,zip_derived_cl4]) ).
thf(zip_derived_cl2103,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_cl1058,zip_derived_cl1533]) ).
thf(zip_derived_cl4_5052,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_5053,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2158,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_cl2103,zip_derived_cl4,zip_derived_cl4]) ).
thf('528',plain,
( ( sk__1 != n2 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2158]) ).
thf(zip_derived_cl729_5054,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1098_5055,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_5056,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16749,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_cl1098,zip_derived_cl16730]) ).
thf(zip_derived_cl44_5057,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5058,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_5059,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5060,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16802,plain,
( ( ( sum @ ( sum @ n15 @ n10 ) @ ( sum @ n8 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16749,zip_derived_cl44,zip_derived_cl18,zip_derived_cl44,zip_derived_cl18]) ).
thf(zip_derived_cl454_5061,plain,
( ( sum @ n15 @ n10 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl279_5062,plain,
( ( sum @ n8 @ n17 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_5063,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228_5064,plain,
( ( sum @ n6 @ n18 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18808,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n9 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16802,zip_derived_cl454,zip_derived_cl279,zip_derived_cl461,zip_derived_cl228]) ).
thf(zip_derived_cl21130,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n9 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl18808]) ).
thf('529',plain,
( ( sk_ != n16 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21130]) ).
thf(zip_derived_cl621_5065,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1098_5066,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_5067,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15195,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_cl1098,zip_derived_cl15178]) ).
thf(zip_derived_cl44_5068,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5069,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_5070,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5071,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15248,plain,
( ( ( sum @ ( sum @ n15 @ n6 ) @ ( sum @ n4 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15195,zip_derived_cl44,zip_derived_cl18,zip_derived_cl44,zip_derived_cl18]) ).
thf(zip_derived_cl450_5072,plain,
( ( sum @ n15 @ n6 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl175_5073,plain,
( ( sum @ n4 @ n17 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_5074,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_5075,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18326,plain,
( ( ( sum @ n21 @ n21 )
!= n16 )
<= ( ( sk__1 = n5 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15248,zip_derived_cl450,zip_derived_cl175,zip_derived_cl461,zip_derived_cl220]) ).
thf(zip_derived_cl19695,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n5 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl18326]) ).
thf('530',plain,
( ( sk_ != n16 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19695]) ).
thf(zip_derived_cl1098_5076,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_5077,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl18001,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl17975]) ).
thf(zip_derived_cl44_5078,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5079,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_5080,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5081,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18056,plain,
( ( ( sum @ ( sum @ n15 @ n16 ) @ ( sum @ n14 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18001,zip_derived_cl44,zip_derived_cl18,zip_derived_cl44,zip_derived_cl18]) ).
thf(zip_derived_cl460_5082,plain,
( ( sum @ n15 @ n16 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl435_5083,plain,
( ( sum @ n14 @ n17 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_5084,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_5085,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214_5086,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19640,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n15 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18056,zip_derived_cl460,zip_derived_cl435,zip_derived_cl189,zip_derived_cl461,zip_derived_cl214]) ).
thf('531',plain,
( ( sk_ != n16 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19640]) ).
thf(zip_derived_cl1098_5087,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_5088,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19496,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl19441]) ).
thf(zip_derived_cl44_5089,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl466_5090,plain,
( ( sum @ n15 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5091,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl591_5092,plain,
( ( sum @ n20 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_5093,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_5094,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5095,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_5096,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_5097,plain,
( ( sum @ n6 @ n16 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19557,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n21 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19496,zip_derived_cl44,zip_derived_cl466,zip_derived_cl18,zip_derived_cl591,zip_derived_cl351,zip_derived_cl44,zip_derived_cl18,zip_derived_cl461,zip_derived_cl226]) ).
thf('532',plain,
( ( sk_ != n16 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19557]) ).
thf(zip_derived_cl1098_5098,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_5099,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19209,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl19158]) ).
thf(zip_derived_cl44_5100,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_5101,plain,
( ( sum @ n15 @ n21 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5102,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl565_5103,plain,
( ( sum @ n19 @ n17 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_5104,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_5105,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5106,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_5107,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_5108,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19268,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n20 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19209,zip_derived_cl44,zip_derived_cl465,zip_derived_cl18,zip_derived_cl565,zip_derived_cl324,zip_derived_cl44,zip_derived_cl18,zip_derived_cl461,zip_derived_cl224]) ).
thf('533',plain,
( ( sk_ != n16 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19268]) ).
thf(zip_derived_cl1098_5109,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_5110,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17200,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl17181]) ).
thf(zip_derived_cl44_5111,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5112,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_5113,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5114,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17253,plain,
( ( ( sum @ ( sum @ n15 @ n12 ) @ ( sum @ n10 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17200,zip_derived_cl44,zip_derived_cl18,zip_derived_cl44,zip_derived_cl18]) ).
thf(zip_derived_cl456_5115,plain,
( ( sum @ n15 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl331_5116,plain,
( ( sum @ n10 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_5117,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_5118,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232_5119,plain,
( ( sum @ n6 @ n22 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19069,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n11 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17253,zip_derived_cl456,zip_derived_cl331,zip_derived_cl81,zip_derived_cl461,zip_derived_cl232]) ).
thf('534',plain,
( ( sk_ != n16 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19069]) ).
thf(zip_derived_cl1098_5120,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_5121,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16983,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_cl1098,zip_derived_cl16960]) ).
thf(zip_derived_cl44_5122,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5123,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_5124,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5125,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17036,plain,
( ( ( sum @ ( sum @ n15 @ n11 ) @ ( sum @ n9 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16983,zip_derived_cl44,zip_derived_cl18,zip_derived_cl44,zip_derived_cl18]) ).
thf(zip_derived_cl455_5126,plain,
( ( sum @ n15 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl305_5127,plain,
( ( sum @ n9 @ n17 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_5128,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_5129,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230_5130,plain,
( ( sum @ n6 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18848,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n10 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17036,zip_derived_cl455,zip_derived_cl305,zip_derived_cl54,zip_derived_cl461,zip_derived_cl230]) ).
thf('535',plain,
( ( sk_ != n16 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18848]) ).
thf(zip_derived_cl1098_5131,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_5132,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18458,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl18424]) ).
thf(zip_derived_cl44_5133,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl462_5134,plain,
( ( sum @ n15 @ n18 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5135,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl487_5136,plain,
( ( sum @ n16 @ n17 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_5137,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_5138,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5139,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_5140,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_5141,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18513,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n17 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18458,zip_derived_cl44,zip_derived_cl462,zip_derived_cl18,zip_derived_cl487,zip_derived_cl243,zip_derived_cl44,zip_derived_cl18,zip_derived_cl461,zip_derived_cl218]) ).
thf('536',plain,
( ( sk_ != n16 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18513]) ).
thf(zip_derived_cl729_5142,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_5143,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102_5144,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_5145,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15199,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_cl1102,zip_derived_cl15178]) ).
thf(zip_derived_cl48_5146,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5147,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_5148,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5149,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15252,plain,
( ( ( sum @ ( sum @ n19 @ n6 ) @ ( sum @ n4 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15199,zip_derived_cl48,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22]) ).
thf(zip_derived_cl179_5150,plain,
( ( sum @ n4 @ n21 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18332,plain,
( ( ( sum @ ( sum @ n19 @ n6 ) @ n25 )
!= ( sum @ ( sum @ n19 @ n21 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15252,zip_derived_cl179]) ).
thf(zip_derived_cl19163,plain,
( ( ( sum @ ( sum @ n19 @ n6 ) @ n25 )
!= ( sum @ n14 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl18332]) ).
thf(zip_derived_cl554_5151,plain,
( ( sum @ n19 @ n6 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl428_5152,plain,
( ( sum @ n14 @ n10 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19176,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n5 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19163,zip_derived_cl554,zip_derived_cl428]) ).
thf(zip_derived_cl21135,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n5 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl19176]) ).
thf('537',plain,
( ( sk__1 != n5 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21135]) ).
thf(zip_derived_cl675_5153,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_5154,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1100_5155,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_5156,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15197,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_cl1100,zip_derived_cl15178]) ).
thf(zip_derived_cl46_5157,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_5158,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_5159,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_5160,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15250,plain,
( ( ( sum @ ( sum @ n17 @ n6 ) @ ( sum @ n4 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15197,zip_derived_cl46,zip_derived_cl20,zip_derived_cl46,zip_derived_cl20]) ).
thf(zip_derived_cl177_5161,plain,
( ( sum @ n4 @ n19 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18330,plain,
( ( ( sum @ ( sum @ n17 @ n6 ) @ n23 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15250,zip_derived_cl177]) ).
thf(zip_derived_cl18655,plain,
( ( ( sum @ ( sum @ n17 @ n6 ) @ n23 )
!= ( sum @ n10 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl18330]) ).
thf(zip_derived_cl502_5162,plain,
( ( sum @ n17 @ n6 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_5163,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18664,plain,
( ( ( sum @ n23 @ n23 )
!= n20 )
<= ( ( sk__1 = n5 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18655,zip_derived_cl502,zip_derived_cl324]) ).
thf(zip_derived_cl20294,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n5 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl18664]) ).
thf('538',plain,
( ( sk_ != n18 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20294]) ).
thf(zip_derived_cl648_5164,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_5165,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1099_5166,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_5167,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15196,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_cl1099,zip_derived_cl15178]) ).
thf(zip_derived_cl45_5168,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5169,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_5170,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5171,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15249,plain,
( ( ( sum @ ( sum @ n16 @ n6 ) @ ( sum @ n4 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15196,zip_derived_cl45,zip_derived_cl19,zip_derived_cl45,zip_derived_cl19]) ).
thf(zip_derived_cl176_5172,plain,
( ( sum @ n4 @ n18 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18327,plain,
( ( ( sum @ ( sum @ n16 @ n6 ) @ n22 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15249,zip_derived_cl176]) ).
thf(zip_derived_cl18430,plain,
( ( ( sum @ ( sum @ n16 @ n6 ) @ n22 )
!= ( sum @ n8 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl18327]) ).
thf(zip_derived_cl476_5173,plain,
( ( sum @ n16 @ n6 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_5174,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18439,plain,
( ( ( sum @ n22 @ n22 )
!= n18 )
<= ( ( sk__1 = n5 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18430,zip_derived_cl476,zip_derived_cl272]) ).
thf(zip_derived_cl19993,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n5 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl18439]) ).
thf('539',plain,
( ( sk__1 != n5 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19993]) ).
thf(zip_derived_cl636_5175,plain,
( ( sum @ n22 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_5176,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_5177,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15190,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_cl1093,zip_derived_cl15178]) ).
thf(zip_derived_cl39_5178,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_5179,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_5180,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_5181,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15243,plain,
( ( ( sum @ ( sum @ n10 @ n6 ) @ ( sum @ n4 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15190,zip_derived_cl39,zip_derived_cl13,zip_derived_cl39,zip_derived_cl13]) ).
thf(zip_derived_cl320_5182,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170_5183,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_5184,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18180,plain,
( ( ( sum @ n16 @ n16 )
!= ( sum @ n22 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15243,zip_derived_cl320,zip_derived_cl170,zip_derived_cl326]) ).
thf(zip_derived_cl19931,plain,
( ( ( sum @ n16 @ n16 )
!= n6 )
<= ( ( sk__1 = n5 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl636,zip_derived_cl18180]) ).
thf(zip_derived_cl486_5185,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19933,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n5 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19931,zip_derived_cl486]) ).
thf('540',plain,
( ( sk__1 != n5 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19933]) ).
thf(zip_derived_cl596_5186,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_5187,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_5188,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15200,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl15178]) ).
thf(zip_derived_cl49_5189,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_5190,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_5191,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_5192,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15253,plain,
( ( ( sum @ ( sum @ n20 @ n6 ) @ ( sum @ n4 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15200,zip_derived_cl49,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23]) ).
thf(zip_derived_cl180_5193,plain,
( ( sum @ n4 @ n22 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18333,plain,
( ( ( sum @ ( sum @ n20 @ n6 ) @ n0 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15253,zip_derived_cl180]) ).
thf(zip_derived_cl19446,plain,
( ( ( sum @ ( sum @ n20 @ n6 ) @ n0 )
!= ( sum @ n16 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl18333]) ).
thf(zip_derived_cl580_5194,plain,
( ( sum @ n20 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_5195,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_5196,plain,
( ( sum @ n16 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19460,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n5 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19446,zip_derived_cl580,zip_derived_cl54,zip_derived_cl480]) ).
thf('541',plain,
( ( sk__1 != n5 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19460]) ).
thf(zip_derived_cl1089_5197,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_5198,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15186,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_cl1089,zip_derived_cl15178]) ).
thf(zip_derived_cl35_5199,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_5200,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_5201,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_5202,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15239,plain,
( ( ( sum @ ( sum @ n6 @ n6 ) @ ( sum @ n4 @ n8 ) )
!= ( sum @ ( sum @ n6 @ n8 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15186,zip_derived_cl35,zip_derived_cl9,zip_derived_cl35,zip_derived_cl9]) ).
thf(zip_derived_cl216_5203,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166_5204,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_5205,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_5206,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl428_5207,plain,
( ( sum @ n14 @ n10 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18175,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n5 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15239,zip_derived_cl216,zip_derived_cl166,zip_derived_cl378,zip_derived_cl218,zip_derived_cl428]) ).
thf('542',plain,
( ( sk__1 != n5 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18175]) ).
thf(zip_derived_cl1085_5208,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_5209,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15182,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_cl1085,zip_derived_cl15178]) ).
thf(zip_derived_cl31_5210,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_5211,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_5212,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_5213,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_5214,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_5215,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_5216,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15234,plain,
( ( ( sum @ n8 @ n8 )
!= ( sum @ n6 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15182,zip_derived_cl31,zip_derived_cl112,zip_derived_cl5,zip_derived_cl162,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110]) ).
thf(zip_derived_cl270_5217,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_5218,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16922,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n5 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15234,zip_derived_cl270,zip_derived_cl220]) ).
thf('543',plain,
( ( sk_ != n3 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16922]) ).
thf(zip_derived_cl1084_5219,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_5220,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15181,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_cl1084,zip_derived_cl15178]) ).
thf(zip_derived_cl30_5221,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_5222,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_5223,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl161_5224,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_5225,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_5226,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_5227,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15233,plain,
( ( ( sum @ n7 @ n7 )
!= ( sum @ n4 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15181,zip_derived_cl30,zip_derived_cl86,zip_derived_cl4,zip_derived_cl161,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83]) ).
thf(zip_derived_cl243_5228,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168_5229,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16912,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n5 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15233,zip_derived_cl243,zip_derived_cl168]) ).
thf('544',plain,
( ( sk__1 != n5 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16912]) ).
thf(zip_derived_cl1099_5230,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_5231,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl18002,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1099,zip_derived_cl17975]) ).
thf(zip_derived_cl45_5232,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5233,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_5234,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5235,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18057,plain,
( ( ( sum @ ( sum @ n16 @ n16 ) @ ( sum @ n14 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18002,zip_derived_cl45,zip_derived_cl19,zip_derived_cl45,zip_derived_cl19]) ).
thf(zip_derived_cl486_5236,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436_5237,plain,
( ( sum @ n14 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_5238,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_5239,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_5240,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19642,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n15 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18057,zip_derived_cl486,zip_derived_cl436,zip_derived_cl216,zip_derived_cl488,zip_derived_cl266]) ).
thf('545',plain,
( ( sk_ != n17 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19642]) ).
thf(zip_derived_cl1099_5241,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_5242,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19497,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1099,zip_derived_cl19441]) ).
thf(zip_derived_cl45_5243,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl492_5244,plain,
( ( sum @ n16 @ n22 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5245,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl592_5246,plain,
( ( sum @ n20 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_5247,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_5248,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5249,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_5250,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278_5251,plain,
( ( sum @ n8 @ n16 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19559,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n21 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19497,zip_derived_cl45,zip_derived_cl492,zip_derived_cl19,zip_derived_cl592,zip_derived_cl378,zip_derived_cl45,zip_derived_cl19,zip_derived_cl488,zip_derived_cl278]) ).
thf('546',plain,
( ( sk_ != n17 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19559]) ).
thf(zip_derived_cl1099_5252,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_5253,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19210,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1099,zip_derived_cl19158]) ).
thf(zip_derived_cl45_5254,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl491,plain,
( ( sum @ n16 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5255,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl566,plain,
( ( sum @ n19 @ n18 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_5256,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_5257,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5258,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_5259,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276_5260,plain,
( ( sum @ n8 @ n14 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19270,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n20 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19210,zip_derived_cl45,zip_derived_cl491,zip_derived_cl19,zip_derived_cl566,zip_derived_cl351,zip_derived_cl45,zip_derived_cl19,zip_derived_cl488,zip_derived_cl276]) ).
thf('547',plain,
( ( sk_ != n17 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19270]) ).
thf(zip_derived_cl1099_5261,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_5262,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17201,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1099,zip_derived_cl17181]) ).
thf(zip_derived_cl45_5263,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5264,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_5265,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5266,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17254,plain,
( ( ( sum @ ( sum @ n16 @ n12 ) @ ( sum @ n10 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17201,zip_derived_cl45,zip_derived_cl19,zip_derived_cl45,zip_derived_cl19]) ).
thf(zip_derived_cl482_5267,plain,
( ( sum @ n16 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_5268,plain,
( ( sum @ n10 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_5269,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_5270,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl284_5271,plain,
( ( sum @ n8 @ n22 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19071,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n11 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17254,zip_derived_cl482,zip_derived_cl332,zip_derived_cl108,zip_derived_cl488,zip_derived_cl284]) ).
thf('548',plain,
( ( sk_ != n17 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19071]) ).
thf(zip_derived_cl1099_5272,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_5273,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16984,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_cl1099,zip_derived_cl16960]) ).
thf(zip_derived_cl45_5274,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5275,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_5276,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5277,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17037,plain,
( ( ( sum @ ( sum @ n16 @ n11 ) @ ( sum @ n9 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16984,zip_derived_cl45,zip_derived_cl19,zip_derived_cl45,zip_derived_cl19]) ).
thf(zip_derived_cl481_5278,plain,
( ( sum @ n16 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl306_5279,plain,
( ( sum @ n9 @ n18 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_5280,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_5281,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282_5282,plain,
( ( sum @ n8 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18853,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n10 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17037,zip_derived_cl481,zip_derived_cl306,zip_derived_cl81,zip_derived_cl488,zip_derived_cl282]) ).
thf('549',plain,
( ( sk_ != n17 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18853]) ).
thf(zip_derived_cl1099_5283,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_5284,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16750,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_cl1099,zip_derived_cl16730]) ).
thf(zip_derived_cl45_5285,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5286,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_5287,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5288,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16803,plain,
( ( ( sum @ ( sum @ n16 @ n10 ) @ ( sum @ n8 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16750,zip_derived_cl45,zip_derived_cl19,zip_derived_cl45,zip_derived_cl19]) ).
thf(zip_derived_cl480_5289,plain,
( ( sum @ n16 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280_5290,plain,
( ( sum @ n8 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_5291,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_5292,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280_5293,plain,
( ( sum @ n8 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18809,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n9 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16803,zip_derived_cl480,zip_derived_cl280,zip_derived_cl54,zip_derived_cl488,zip_derived_cl280]) ).
thf('550',plain,
( ( sk_ != n17 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18809]) ).
thf(zip_derived_cl1099_5294,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl4312_5295,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_cl1289,zip_derived_cl19,zip_derived_cl19]) ).
thf(zip_derived_cl4330,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_cl1099,zip_derived_cl4312]) ).
thf(zip_derived_cl19_5296,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5297,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4382,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_cl4330,zip_derived_cl19,zip_derived_cl19]) ).
thf('551',plain,
( ( sk_ != n17 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4382]) ).
thf(zip_derived_cl596_5298,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_5299,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_5300,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17205,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl17181]) ).
thf(zip_derived_cl49_5301,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_5302,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_5303,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_5304,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17258,plain,
( ( ( sum @ ( sum @ n20 @ n12 ) @ ( sum @ n10 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17205,zip_derived_cl49,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23]) ).
thf(zip_derived_cl336_5305,plain,
( ( sum @ n10 @ n22 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19078,plain,
( ( ( sum @ ( sum @ n20 @ n12 ) @ n6 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17258,zip_derived_cl336]) ).
thf(zip_derived_cl19452,plain,
( ( ( sum @ ( sum @ n20 @ n12 ) @ n6 )
!= ( sum @ n16 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl19078]) ).
thf(zip_derived_cl586_5306,plain,
( ( sum @ n20 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_5307,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl492_5308,plain,
( ( sum @ n16 @ n22 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19472,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n11 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19452,zip_derived_cl586,zip_derived_cl216,zip_derived_cl492]) ).
thf('552',plain,
( ( sk__1 != n11 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19472]) ).
thf(zip_derived_cl569_5309,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102_5310,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_5311,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17204,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1102,zip_derived_cl17181]) ).
thf(zip_derived_cl48_5312,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5313,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_5314,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5315,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17257,plain,
( ( ( sum @ ( sum @ n19 @ n12 ) @ ( sum @ n10 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17204,zip_derived_cl48,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22]) ).
thf(zip_derived_cl335,plain,
( ( sum @ n10 @ n21 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19077,plain,
( ( ( sum @ ( sum @ n19 @ n12 ) @ n5 )
!= ( sum @ ( sum @ n19 @ n21 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17257,zip_derived_cl335]) ).
thf(zip_derived_cl19169,plain,
( ( ( sum @ ( sum @ n19 @ n12 ) @ n5 )
!= ( sum @ n14 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl19077]) ).
thf(zip_derived_cl560,plain,
( ( sum @ n19 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_5316,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_5317,plain,
( ( sum @ n14 @ n22 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19187,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n11 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19169,zip_derived_cl560,zip_derived_cl189,zip_derived_cl440]) ).
thf('553',plain,
( ( sk__1 != n11 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19187]) ).
thf(zip_derived_cl1100_5318,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_5319,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17202,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1100,zip_derived_cl17181]) ).
thf(zip_derived_cl46_5320,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_5321,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_5322,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_5323,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17255,plain,
( ( ( sum @ ( sum @ n17 @ n12 ) @ ( sum @ n10 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17202,zip_derived_cl46,zip_derived_cl20,zip_derived_cl46,zip_derived_cl20]) ).
thf(zip_derived_cl508_5324,plain,
( ( sum @ n17 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl333_5325,plain,
( ( sum @ n10 @ n19 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_5326,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_5327,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl336_5328,plain,
( ( sum @ n10 @ n22 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19073,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n11 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17255,zip_derived_cl508,zip_derived_cl333,zip_derived_cl135,zip_derived_cl515,zip_derived_cl336]) ).
thf('554',plain,
( ( sk_ != n18 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19073]) ).
thf(zip_derived_cl540_5329,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1089_5330,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_5331,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17191,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1089,zip_derived_cl17181]) ).
thf(zip_derived_cl35_5332,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_5333,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_5334,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5335,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_5336,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_5337,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_5338,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17243,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ n14 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17191,zip_derived_cl35,zip_derived_cl222,zip_derived_cl9,zip_derived_cl322,zip_derived_cl35,zip_derived_cl9,zip_derived_cl218]) ).
thf(zip_derived_cl18864,plain,
( ( n10
!= ( sum @ n14 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl17243]) ).
thf(zip_derived_cl440_5339,plain,
( ( sum @ n14 @ n22 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18878,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n11 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18864,zip_derived_cl440]) ).
thf('555',plain,
( ( sk__1 != n11 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18878]) ).
thf(zip_derived_cl432_5340,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1085_5341,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_5342,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17187,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1085,zip_derived_cl17181]) ).
thf(zip_derived_cl31_5343,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118_5344,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_5345,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl318_5346,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_5347,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_5348,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_5349,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232_5350,plain,
( ( sum @ n6 @ n22 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17239,plain,
( ( ( sum @ n14 @ n14 )
!= n2 )
<= ( ( sk__1 = n11 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17187,zip_derived_cl31,zip_derived_cl118,zip_derived_cl5,zip_derived_cl318,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110,zip_derived_cl232]) ).
thf(zip_derived_cl17960,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n11 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl17239]) ).
thf('556',plain,
( ( sk_ != n3 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17960]) ).
thf(zip_derived_cl405_5351,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1084_5352,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_5353,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17186,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1084,zip_derived_cl17181]) ).
thf(zip_derived_cl30_5354,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_5355,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_5356,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl317_5357,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_5358,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_5359,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_5360,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180_5361,plain,
( ( sum @ n4 @ n22 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17238,plain,
( ( ( sum @ n13 @ n13 )
!= n0 )
<= ( ( sk__1 = n11 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17186,zip_derived_cl30,zip_derived_cl92,zip_derived_cl4,zip_derived_cl317,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl180]) ).
thf(zip_derived_cl17739,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n11 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl17238]) ).
thf('557',plain,
( ( sk__1 != n11 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17739]) ).
thf(zip_derived_cl1093_5362,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl3602_5363,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_cl1192,zip_derived_cl13,zip_derived_cl13]) ).
thf(zip_derived_cl3614,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_cl1093,zip_derived_cl3602]) ).
thf(zip_derived_cl13_5364,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_5365,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3666,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_cl3614,zip_derived_cl13,zip_derived_cl13]) ).
thf('558',plain,
( ( sk__1 != n11 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3666]) ).
thf(zip_derived_cl1102_5366,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_5367,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18462,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1102,zip_derived_cl18424]) ).
thf(zip_derived_cl48_5368,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5369,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_5370,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5371,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18519,plain,
( ( ( sum @ ( sum @ n19 @ n18 ) @ ( sum @ n16 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18462,zip_derived_cl48,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22]) ).
thf(zip_derived_cl566_5372,plain,
( ( sum @ n19 @ n18 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl491_5373,plain,
( ( sum @ n16 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_5374,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_5375,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl426_5376,plain,
( ( sum @ n14 @ n8 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19964,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n17 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18519,zip_derived_cl566,zip_derived_cl491,zip_derived_cl351,zip_derived_cl569,zip_derived_cl426]) ).
thf('559',plain,
( ( sk_ != n20 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19964]) ).
thf(zip_derived_cl1102_5377,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_5378,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl18005,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1102,zip_derived_cl17975]) ).
thf(zip_derived_cl48_5379,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5380,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_5381,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5382,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18060,plain,
( ( ( sum @ ( sum @ n19 @ n16 ) @ ( sum @ n14 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18005,zip_derived_cl48,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22]) ).
thf(zip_derived_cl564_5383,plain,
( ( sum @ n19 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl439_5384,plain,
( ( sum @ n14 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_5385,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_5386,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl422_5387,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19648,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n15 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18060,zip_derived_cl564,zip_derived_cl439,zip_derived_cl297,zip_derived_cl569,zip_derived_cl422]) ).
thf('560',plain,
( ( sk_ != n20 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19648]) ).
thf(zip_derived_cl1102_5388,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_5389,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19500,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1102,zip_derived_cl19441]) ).
thf(zip_derived_cl48_5390,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl570,plain,
( ( sum @ n19 @ n22 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5391,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl595,plain,
( ( sum @ n20 @ n21 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459_5392,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_5393,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5394,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_5395,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_5396,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19565,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n21 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19500,zip_derived_cl48,zip_derived_cl570,zip_derived_cl22,zip_derived_cl595,zip_derived_cl459,zip_derived_cl48,zip_derived_cl22,zip_derived_cl569,zip_derived_cl434]) ).
thf('561',plain,
( ( sk_ != n20 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19565]) ).
thf(zip_derived_cl569_5397,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102_5398,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_5399,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16987,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_cl1102,zip_derived_cl16960]) ).
thf(zip_derived_cl48_5400,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5401,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_5402,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5403,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17040,plain,
( ( ( sum @ ( sum @ n19 @ n11 ) @ ( sum @ n9 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16987,zip_derived_cl48,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22]) ).
thf(zip_derived_cl309_5404,plain,
( ( sum @ n9 @ n21 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18858,plain,
( ( ( sum @ ( sum @ n19 @ n11 ) @ n4 )
!= ( sum @ ( sum @ n19 @ n21 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17040,zip_derived_cl309]) ).
thf(zip_derived_cl19168,plain,
( ( ( sum @ ( sum @ n19 @ n11 ) @ n4 )
!= ( sum @ n14 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl18858]) ).
thf(zip_derived_cl559_5405,plain,
( ( sum @ n19 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_5406,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438_5407,plain,
( ( sum @ n14 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19185,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n10 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19168,zip_derived_cl559,zip_derived_cl162,zip_derived_cl438]) ).
thf('562',plain,
( ( sk_ != n20 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19185]) ).
thf(zip_derived_cl569_5408,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102_5409,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_5410,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16753,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_cl1102,zip_derived_cl16730]) ).
thf(zip_derived_cl48_5411,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5412,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_5413,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5414,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16806,plain,
( ( ( sum @ ( sum @ n19 @ n10 ) @ ( sum @ n8 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16753,zip_derived_cl48,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22]) ).
thf(zip_derived_cl283_5415,plain,
( ( sum @ n8 @ n21 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18814,plain,
( ( ( sum @ ( sum @ n19 @ n10 ) @ n3 )
!= ( sum @ ( sum @ n19 @ n21 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16806,zip_derived_cl283]) ).
thf(zip_derived_cl19167,plain,
( ( ( sum @ ( sum @ n19 @ n10 ) @ n3 )
!= ( sum @ n14 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl18814]) ).
thf(zip_derived_cl558_5416,plain,
( ( sum @ n19 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_5417,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436_5418,plain,
( ( sum @ n14 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19183,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n9 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19167,zip_derived_cl558,zip_derived_cl135,zip_derived_cl436]) ).
thf('563',plain,
( ( sk_ != n20 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19183]) ).
thf(zip_derived_cl1102_5419,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl4626_5420,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ ( pred @ n20 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n20 ) @ n21 ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1358,zip_derived_cl22,zip_derived_cl22]) ).
thf(zip_derived_cl4647,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n21 ) @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ ( sum @ ( pred @ n20 ) @ n21 ) ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1102,zip_derived_cl4626]) ).
thf(zip_derived_cl22_5421,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5422,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4699,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n21 ) @ ( sum @ ( pred @ n20 ) @ n21 ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ n21 ) @ ( sum @ ( pred @ n20 ) @ n21 ) ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4647,zip_derived_cl22,zip_derived_cl22]) ).
thf('564',plain,
( ( sk_ != n20 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4699]) ).
thf(zip_derived_cl675_5423,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1085_5424,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_5425,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19196,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1085,zip_derived_cl19158]) ).
thf(zip_derived_cl31_5426,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127,plain,
( ( sum @ n2 @ n21 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_5427,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl552,plain,
( ( sum @ n19 @ n4 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_5428,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_5429,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_5430,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_5431,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19248,plain,
( ( ( sum @ n23 @ n23 )
!= n20 )
<= ( ( sk__1 = n20 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19196,zip_derived_cl31,zip_derived_cl127,zip_derived_cl5,zip_derived_cl552,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110,zip_derived_cl224]) ).
thf(zip_derived_cl20301,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n20 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl19248]) ).
thf('565',plain,
( ( sk_ != n3 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20301]) ).
thf(zip_derived_cl648_5432,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1084_5433,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_5434,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19195,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1084,zip_derived_cl19158]) ).
thf(zip_derived_cl30_5435,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101_5436,plain,
( ( sum @ n1 @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_5437,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl551_5438,plain,
( ( sum @ n19 @ n3 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_5439,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_5440,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_5441,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172_5442,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19247,plain,
( ( ( sum @ n22 @ n22 )
!= n18 )
<= ( ( sk__1 = n20 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19195,zip_derived_cl30,zip_derived_cl101,zip_derived_cl4,zip_derived_cl551,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl172]) ).
thf(zip_derived_cl20003,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n20 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl19247]) ).
thf('566',plain,
( ( sk__1 != n20 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20003]) ).
thf(zip_derived_cl640_5443,plain,
( ( sum @ n22 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_5444,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_5445,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19204,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1093,zip_derived_cl19158]) ).
thf(zip_derived_cl39_5446,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl335_5447,plain,
( ( sum @ n10 @ n21 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_5448,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl560_5449,plain,
( ( sum @ n19 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_5450,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_5451,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_5452,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_5453,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19260,plain,
( ( n10
!= ( sum @ n22 @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19204,zip_derived_cl39,zip_derived_cl335,zip_derived_cl13,zip_derived_cl560,zip_derived_cl189,zip_derived_cl39,zip_derived_cl13,zip_derived_cl326]) ).
thf(zip_derived_cl19942,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n20 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl640,zip_derived_cl19260]) ).
thf('567',plain,
( ( sk__1 != n20 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19942]) ).
thf(zip_derived_cl596_5454,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_5455,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_5456,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19214,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl19158]) ).
thf(zip_derived_cl49_5457,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_5458,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl570_5459,plain,
( ( sum @ n19 @ n22 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_5460,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_5461,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19278,plain,
( ( ( sum @ ( sum @ n20 @ n21 ) @ n15 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19214,zip_derived_cl49,zip_derived_cl23,zip_derived_cl570,zip_derived_cl49,zip_derived_cl23]) ).
thf(zip_derived_cl19454,plain,
( ( ( sum @ ( sum @ n20 @ n21 ) @ n15 )
!= ( sum @ n16 @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl19278]) ).
thf(zip_derived_cl595_5462,plain,
( ( sum @ n20 @ n21 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459_5463,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl484_5464,plain,
( ( sum @ n16 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19476,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n20 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19454,zip_derived_cl595,zip_derived_cl459,zip_derived_cl484]) ).
thf('568',plain,
( ( sk__1 != n20 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19476]) ).
thf(zip_derived_cl1100_5465,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_5466,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19211,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1100,zip_derived_cl19158]) ).
thf(zip_derived_cl46_5467,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl517_5468,plain,
( ( sum @ n17 @ n21 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_5469,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl567_5470,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_5471,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_5472,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_5473,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_5474,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl328_5475,plain,
( ( sum @ n10 @ n14 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19272,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n20 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19211,zip_derived_cl46,zip_derived_cl517,zip_derived_cl20,zip_derived_cl567,zip_derived_cl378,zip_derived_cl46,zip_derived_cl20,zip_derived_cl515,zip_derived_cl328]) ).
thf('569',plain,
( ( sk_ != n18 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19272]) ).
thf(zip_derived_cl1089_5476,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_5477,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19200,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1089,zip_derived_cl19158]) ).
thf(zip_derived_cl35_5478,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl231_5479,plain,
( ( sum @ n6 @ n21 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_5480,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl556_5481,plain,
( ( sum @ n19 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_5482,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_5483,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_5484,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_5485,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_5486,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19253,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n20 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19200,zip_derived_cl35,zip_derived_cl231,zip_derived_cl9,zip_derived_cl556,zip_derived_cl81,zip_derived_cl35,zip_derived_cl9,zip_derived_cl218,zip_derived_cl432]) ).
thf('570',plain,
( ( sk__1 != n20 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19253]) ).
thf(zip_derived_cl675_5487,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1084_5488,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_5489,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19482,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1084,zip_derived_cl19441]) ).
thf(zip_derived_cl30_5490,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102_5491,plain,
( ( sum @ n1 @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_5492,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl577_5493,plain,
( ( sum @ n20 @ n3 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_5494,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_5495,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_5496,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174_5497,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19534,plain,
( ( ( sum @ n23 @ n23 )
!= n20 )
<= ( ( sk__1 = n21 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19482,zip_derived_cl30,zip_derived_cl102,zip_derived_cl4,zip_derived_cl577,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl174]) ).
thf(zip_derived_cl20303,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n21 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl19534]) ).
thf('571',plain,
( ( sk_ != n2 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20303]) ).
thf(zip_derived_cl567_5498,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1084_5499,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_5500,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18444,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1084,zip_derived_cl18424]) ).
thf(zip_derived_cl30_5501,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_5502,plain,
( ( sum @ n1 @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_5503,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl473_5504,plain,
( ( sum @ n16 @ n3 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_5505,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_5506,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_5507,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166_5508,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18496,plain,
( ( ( sum @ n19 @ n19 )
!= n12 )
<= ( ( sk__1 = n17 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18444,zip_derived_cl30,zip_derived_cl98,zip_derived_cl4,zip_derived_cl473,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl166]) ).
thf(zip_derived_cl19137,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n17 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl18496]) ).
thf('572',plain,
( ( sk_ != n2 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19137]) ).
thf(zip_derived_cl513_5509,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1084_5510,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_5511,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl17987,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1084,zip_derived_cl17975]) ).
thf(zip_derived_cl30_5512,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_5513,plain,
( ( sum @ n1 @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_5514,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl421_5515,plain,
( ( sum @ n14 @ n3 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_5516,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_5517,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_5518,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_5519,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18039,plain,
( ( ( sum @ n17 @ n17 )
!= n8 )
<= ( ( sk__1 = n15 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17987,zip_derived_cl30,zip_derived_cl96,zip_derived_cl4,zip_derived_cl421,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl162]) ).
thf(zip_derived_cl18631,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n15 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl18039]) ).
thf('573',plain,
( ( sk_ != n2 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18631]) ).
thf(zip_derived_cl378_5520,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1084_5521,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_5522,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16969,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_cl1084,zip_derived_cl16960]) ).
thf(zip_derived_cl30_5523,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_5524,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_5525,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl291_5526,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_5527,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_5528,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_5529,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_5530,plain,
( ( sum @ n4 @ n20 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17021,plain,
( ( ( sum @ n12 @ n12 )
!= n24 )
<= ( ( sk__1 = n10 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16969,zip_derived_cl30,zip_derived_cl91,zip_derived_cl4,zip_derived_cl291,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl178]) ).
thf(zip_derived_cl17583,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n10 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl17021]) ).
thf('574',plain,
( ( sk_ != n2 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17583]) ).
thf(zip_derived_cl351_5531,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1084_5532,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_5533,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16735,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_cl1084,zip_derived_cl16730]) ).
thf(zip_derived_cl30_5534,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_5535,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_5536,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl265_5537,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_5538,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_5539,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_5540,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_5541,plain,
( ( sum @ n4 @ n18 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16787,plain,
( ( ( sum @ n11 @ n11 )
!= n22 )
<= ( ( sk__1 = n9 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16735,zip_derived_cl30,zip_derived_cl90,zip_derived_cl4,zip_derived_cl265,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl176]) ).
thf(zip_derived_cl17395,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n9 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl16787]) ).
thf('575',plain,
( ( sk_ != n2 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17395]) ).
thf(zip_derived_cl648_5542,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1089_5543,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_5544,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl17992,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1089,zip_derived_cl17975]) ).
thf(zip_derived_cl35_5545,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_5546,plain,
( ( sum @ n6 @ n16 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_5547,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl426_5548,plain,
( ( sum @ n14 @ n8 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_5549,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_5550,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_5551,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl422_5552,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18044,plain,
( ( ( sum @ n22 @ n22 )
!= n18 )
<= ( ( sk__1 = n15 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17992,zip_derived_cl35,zip_derived_cl226,zip_derived_cl9,zip_derived_cl426,zip_derived_cl35,zip_derived_cl9,zip_derived_cl218,zip_derived_cl422]) ).
thf(zip_derived_cl19990,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n15 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl18044]) ).
thf('576',plain,
( ( sk__1 != n15 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19990]) ).
thf(zip_derived_cl630_5553,plain,
( ( sum @ n22 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_5554,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_5555,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl17996,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1093,zip_derived_cl17975]) ).
thf(zip_derived_cl39_5556,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330_5557,plain,
( ( sum @ n10 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_5558,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl430_5559,plain,
( ( sum @ n14 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_5560,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_5561,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_5562,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_5563,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18048,plain,
( ( n0
!= ( sum @ n22 @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17996,zip_derived_cl39,zip_derived_cl330,zip_derived_cl13,zip_derived_cl430,zip_derived_cl54,zip_derived_cl39,zip_derived_cl13,zip_derived_cl326]) ).
thf(zip_derived_cl19916,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n15 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl630,zip_derived_cl18048]) ).
thf('577',plain,
( ( sk__1 != n15 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19916]) ).
thf(zip_derived_cl1103_5564,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_5565,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl18006,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl17975]) ).
thf(zip_derived_cl49_5566,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_5567,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_5568,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_5569,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18061,plain,
( ( ( sum @ ( sum @ n20 @ n16 ) @ ( sum @ n14 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18006,zip_derived_cl49,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23]) ).
thf(zip_derived_cl590_5570,plain,
( ( sum @ n20 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_5571,plain,
( ( sum @ n14 @ n22 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_5572,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_5573,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl474_5574,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19650,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n15 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18061,zip_derived_cl590,zip_derived_cl440,zip_derived_cl324,zip_derived_cl596,zip_derived_cl474]) ).
thf('578',plain,
( ( sk__1 != n15 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19650]) ).
thf(zip_derived_cl1100_5575,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_5576,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl18003,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1100,zip_derived_cl17975]) ).
thf(zip_derived_cl46_5577,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_5578,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_5579,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_5580,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18058,plain,
( ( ( sum @ ( sum @ n17 @ n16 ) @ ( sum @ n14 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18003,zip_derived_cl46,zip_derived_cl20,zip_derived_cl46,zip_derived_cl20]) ).
thf(zip_derived_cl512_5581,plain,
( ( sum @ n17 @ n16 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl437_5582,plain,
( ( sum @ n14 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_5583,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_5584,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl318_5585,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19644,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n15 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18058,zip_derived_cl512,zip_derived_cl437,zip_derived_cl243,zip_derived_cl515,zip_derived_cl318]) ).
thf('579',plain,
( ( sk_ != n18 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19644]) ).
thf(zip_derived_cl540_5586,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1085_5587,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_5588,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl17988,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1085,zip_derived_cl17975]) ).
thf(zip_derived_cl31_5589,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122_5590,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_5591,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl422_5592,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_5593,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_5594,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_5595,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214_5596,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18040,plain,
( ( ( sum @ n18 @ n18 )
!= n10 )
<= ( ( sk__1 = n15 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17988,zip_derived_cl31,zip_derived_cl122,zip_derived_cl5,zip_derived_cl422,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110,zip_derived_cl214]) ).
thf(zip_derived_cl18869,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n15 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl18040]) ).
thf('580',plain,
( ( sk_ != n3 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18869]) ).
thf(zip_derived_cl702_5597,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1089_5598,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_5599,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18449,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1089,zip_derived_cl18424]) ).
thf(zip_derived_cl35_5600,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228_5601,plain,
( ( sum @ n6 @ n18 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_5602,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl478_5603,plain,
( ( sum @ n16 @ n8 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_5604,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_5605,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_5606,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl426_5607,plain,
( ( sum @ n14 @ n8 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18501,plain,
( ( ( sum @ n24 @ n24 )
!= n22 )
<= ( ( sk__1 = n17 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18449,zip_derived_cl35,zip_derived_cl228,zip_derived_cl9,zip_derived_cl478,zip_derived_cl35,zip_derived_cl9,zip_derived_cl218,zip_derived_cl426]) ).
thf(zip_derived_cl20772,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n17 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl18501]) ).
thf('581',plain,
( ( sk_ != n7 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20772]) ).
thf(zip_derived_cl1089_5608,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_5609,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19487,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1089,zip_derived_cl19441]) ).
thf(zip_derived_cl35_5610,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232_5611,plain,
( ( sum @ n6 @ n22 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_5612,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl582_5613,plain,
( ( sum @ n20 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_5614,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_5615,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_5616,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_5617,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_5618,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19541,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n21 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19487,zip_derived_cl35,zip_derived_cl232,zip_derived_cl9,zip_derived_cl582,zip_derived_cl108,zip_derived_cl35,zip_derived_cl9,zip_derived_cl218,zip_derived_cl434]) ).
thf('582',plain,
( ( sk_ != n7 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19541]) ).
thf(zip_derived_cl513_5619,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1089_5620,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_5621,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16974,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_cl1089,zip_derived_cl16960]) ).
thf(zip_derived_cl35_5622,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221_5623,plain,
( ( sum @ n6 @ n11 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_5624,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl296_5625,plain,
( ( sum @ n9 @ n8 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_5626,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_5627,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_5628,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17026,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ n14 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16974,zip_derived_cl35,zip_derived_cl221,zip_derived_cl9,zip_derived_cl296,zip_derived_cl35,zip_derived_cl9,zip_derived_cl218]) ).
thf(zip_derived_cl18624,plain,
( ( n8
!= ( sum @ n14 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl17026]) ).
thf(zip_derived_cl438_5629,plain,
( ( sum @ n14 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18637,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n10 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18624,zip_derived_cl438]) ).
thf('583',plain,
( ( sk_ != n7 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18637]) ).
thf(zip_derived_cl486_5630,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1089_5631,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_5632,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16740,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_cl1089,zip_derived_cl16730]) ).
thf(zip_derived_cl35_5633,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_5634,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_5635,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_5636,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_5637,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_5638,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_5639,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16792,plain,
( ( ( sum @ n16 @ n16 )
!= ( sum @ n14 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16740,zip_derived_cl35,zip_derived_cl220,zip_derived_cl9,zip_derived_cl270,zip_derived_cl35,zip_derived_cl9,zip_derived_cl218]) ).
thf(zip_derived_cl18402,plain,
( ( n6
!= ( sum @ n14 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl16792]) ).
thf(zip_derived_cl436_5640,plain,
( ( sum @ n14 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18412,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n9 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18402,zip_derived_cl436]) ).
thf('584',plain,
( ( sk_ != n7 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18412]) ).
thf(zip_derived_cl646_5641,plain,
( ( sum @ n22 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_5642,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_5643,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16978,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_cl1093,zip_derived_cl16960]) ).
thf(zip_derived_cl39_5644,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_5645,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl300_5646,plain,
( ( sum @ n9 @ n12 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_5647,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_5648,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17031,plain,
( ( ( sum @ ( sum @ n10 @ n11 ) @ n21 )
!= ( sum @ ( sum @ n10 @ n12 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16978,zip_derived_cl39,zip_derived_cl13,zip_derived_cl300,zip_derived_cl39,zip_derived_cl13]) ).
thf(zip_derived_cl325_5649,plain,
( ( sum @ n10 @ n11 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_5650,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17701,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ n22 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17031,zip_derived_cl325,zip_derived_cl326]) ).
thf(zip_derived_cl19971,plain,
( ( ( sum @ n21 @ n21 )
!= n16 )
<= ( ( sk__1 = n10 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl646,zip_derived_cl17701]) ).
thf(zip_derived_cl621_5651,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19972,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n10 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19971,zip_derived_cl621]) ).
thf('585',plain,
( ( sk__1 != n10 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19972]) ).
thf(zip_derived_cl596_5652,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_5653,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_5654,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16988,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl16960]) ).
thf(zip_derived_cl49_5655,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_5656,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_5657,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_5658,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17041,plain,
( ( ( sum @ ( sum @ n20 @ n11 ) @ ( sum @ n9 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16988,zip_derived_cl49,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23]) ).
thf(zip_derived_cl310_5659,plain,
( ( sum @ n9 @ n22 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18859,plain,
( ( ( sum @ ( sum @ n20 @ n11 ) @ n5 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17041,zip_derived_cl310]) ).
thf(zip_derived_cl19451,plain,
( ( ( sum @ ( sum @ n20 @ n11 ) @ n5 )
!= ( sum @ n16 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl18859]) ).
thf(zip_derived_cl585_5660,plain,
( ( sum @ n20 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_5661,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl490_5662,plain,
( ( sum @ n16 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19470,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n10 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19451,zip_derived_cl585,zip_derived_cl189,zip_derived_cl490]) ).
thf('586',plain,
( ( sk__1 != n10 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19470]) ).
thf(zip_derived_cl1100_5663,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_5664,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16985,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_cl1100,zip_derived_cl16960]) ).
thf(zip_derived_cl46_5665,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_5666,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_5667,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_5668,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17038,plain,
( ( ( sum @ ( sum @ n17 @ n11 ) @ ( sum @ n9 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16985,zip_derived_cl46,zip_derived_cl20,zip_derived_cl46,zip_derived_cl20]) ).
thf(zip_derived_cl507_5669,plain,
( ( sum @ n17 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl307_5670,plain,
( ( sum @ n9 @ n19 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_5671,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_5672,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334_5673,plain,
( ( sum @ n10 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18855,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n10 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17038,zip_derived_cl507,zip_derived_cl307,zip_derived_cl108,zip_derived_cl515,zip_derived_cl334]) ).
thf('587',plain,
( ( sk_ != n18 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18855]) ).
thf(zip_derived_cl405_5674,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1085_5675,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_5676,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16970,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_cl1085,zip_derived_cl16960]) ).
thf(zip_derived_cl31_5677,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_5678,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl292,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_5679,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_5680,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_5681,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230_5682,plain,
( ( sum @ n6 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17022,plain,
( ( ( sum @ n13 @ n13 )
!= n0 )
<= ( ( sk__1 = n10 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16970,zip_derived_cl31,zip_derived_cl117,zip_derived_cl5,zip_derived_cl292,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110,zip_derived_cl230]) ).
thf(zip_derived_cl17738,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n10 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl17022]) ).
thf('588',plain,
( ( sk_ != n3 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17738]) ).
thf(zip_derived_cl644_5683,plain,
( ( sum @ n22 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_5684,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_5685,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16744,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_cl1093,zip_derived_cl16730]) ).
thf(zip_derived_cl39_5686,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_5687,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_5688,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_5689,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16797,plain,
( ( ( sum @ ( sum @ n10 @ n10 ) @ ( sum @ n8 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16744,zip_derived_cl39,zip_derived_cl13,zip_derived_cl39,zip_derived_cl13]) ).
thf(zip_derived_cl324_5690,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl274_5691,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_5692,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18799,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ n22 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16797,zip_derived_cl324,zip_derived_cl274,zip_derived_cl326]) ).
thf(zip_derived_cl19954,plain,
( ( ( sum @ n20 @ n20 )
!= n14 )
<= ( ( sk__1 = n9 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl644,zip_derived_cl18799]) ).
thf(zip_derived_cl594_5693,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19956,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n9 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19954,zip_derived_cl594]) ).
thf('589',plain,
( ( sk_ != n11 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19956]) ).
thf(zip_derived_cl642_5694,plain,
( ( sum @ n22 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_5695,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_5696,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19491,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1093,zip_derived_cl19441]) ).
thf(zip_derived_cl39_5697,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl336_5698,plain,
( ( sum @ n10 @ n22 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_5699,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl586_5700,plain,
( ( sum @ n20 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_5701,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_5702,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_5703,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_5704,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19549,plain,
( ( n12
!= ( sum @ n22 @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19491,zip_derived_cl39,zip_derived_cl336,zip_derived_cl13,zip_derived_cl586,zip_derived_cl216,zip_derived_cl39,zip_derived_cl13,zip_derived_cl326]) ).
thf(zip_derived_cl19947,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n21 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl19549]) ).
thf('590',plain,
( ( sk_ != n11 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19947]) ).
thf(zip_derived_cl634_5705,plain,
( ( sum @ n22 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_5706,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_5707,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18453,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1093,zip_derived_cl18424]) ).
thf(zip_derived_cl39_5708,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_5709,plain,
( ( sum @ n10 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_5710,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_5711,plain,
( ( sum @ n16 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_5712,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_5713,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_5714,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_5715,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18505,plain,
( ( n4
!= ( sum @ n22 @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18453,zip_derived_cl39,zip_derived_cl332,zip_derived_cl13,zip_derived_cl482,zip_derived_cl108,zip_derived_cl39,zip_derived_cl13,zip_derived_cl326]) ).
thf(zip_derived_cl19927,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n17 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl18505]) ).
thf('591',plain,
( ( sk_ != n11 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19927]) ).
thf(zip_derived_cl702_5716,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1085_5717,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_5718,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19483,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1085,zip_derived_cl19441]) ).
thf(zip_derived_cl31_5719,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_5720,plain,
( ( sum @ n2 @ n22 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_5721,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_5722,plain,
( ( sum @ n20 @ n4 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_5723,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_5724,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_5725,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_5726,plain,
( ( sum @ n6 @ n16 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19535,plain,
( ( ( sum @ n24 @ n24 )
!= n22 )
<= ( ( sk__1 = n21 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19483,zip_derived_cl31,zip_derived_cl128,zip_derived_cl5,zip_derived_cl578,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110,zip_derived_cl226]) ).
thf(zip_derived_cl20785,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n21 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl19535]) ).
thf('592',plain,
( ( sk_ != n3 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20785]) ).
thf(zip_derived_cl1100_5727,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_5728,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19498,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1100,zip_derived_cl19441]) ).
thf(zip_derived_cl46_5729,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl518_5730,plain,
( ( sum @ n17 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_5731,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl593_5732,plain,
( ( sum @ n20 @ n19 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_5733,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_5734,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_5735,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_5736,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330_5737,plain,
( ( sum @ n10 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19561,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n21 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19498,zip_derived_cl46,zip_derived_cl518,zip_derived_cl20,zip_derived_cl593,zip_derived_cl405,zip_derived_cl46,zip_derived_cl20,zip_derived_cl515,zip_derived_cl330]) ).
thf('593',plain,
( ( sk_ != n18 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19561]) ).
thf(zip_derived_cl1103_5738,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl4734_5739,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ ( pred @ n21 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n21 ) @ n22 ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1380,zip_derived_cl23,zip_derived_cl23]) ).
thf(zip_derived_cl4756,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n22 ) @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ ( sum @ ( pred @ n21 ) @ n22 ) ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl4734]) ).
thf(zip_derived_cl23_5740,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_5741,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4808,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n22 ) @ ( sum @ ( pred @ n21 ) @ n22 ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ n22 ) @ ( sum @ ( pred @ n21 ) @ n22 ) ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4756,zip_derived_cl23,zip_derived_cl23]) ).
thf('594',plain,
( ( sk__1 != n21 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4808]) ).
thf(zip_derived_cl729_5742,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl623_5743,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_5744,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl110_5745,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_5746,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1059,plain,
( ( sk__1 = n3 )
<= ( sk__1 = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_5747,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_cl1118,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_cl1059,zip_derived_cl0]) ).
thf(zip_derived_cl5_5748,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_5749,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2826,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_cl1118,zip_derived_cl5,zip_derived_cl5]) ).
thf(zip_derived_cl5941,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_cl31,zip_derived_cl2826]) ).
thf(zip_derived_cl14151,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14174,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl14151]) ).
thf(zip_derived_cl50_5750,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_5751,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_5752,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_5753,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14227,plain,
( ( ( sum @ ( sum @ n21 @ n4 ) @ ( sum @ n2 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14174,zip_derived_cl50,zip_derived_cl24,zip_derived_cl50,zip_derived_cl24]) ).
thf(zip_derived_cl129_5754,plain,
( ( sum @ n2 @ n23 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18099,plain,
( ( ( sum @ ( sum @ n21 @ n4 ) @ n25 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14227,zip_derived_cl129]) ).
thf(zip_derived_cl19732,plain,
( ( ( sum @ ( sum @ n21 @ n4 ) @ n25 )
!= ( sum @ n18 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl18099]) ).
thf(zip_derived_cl604_5755,plain,
( ( sum @ n21 @ n4 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl528_5756,plain,
( ( sum @ n18 @ n6 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19748,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n3 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19732,zip_derived_cl604,zip_derived_cl528]) ).
thf(zip_derived_cl21139,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n3 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl19748]) ).
thf('595',plain,
( ( sk__1 != n3 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21139]) ).
thf(zip_derived_cl708_5757,plain,
( ( sum @ n25 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_5758,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5759,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14152,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_cl1082,zip_derived_cl14151]) ).
thf(zip_derived_cl28_5760,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_5761,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107_5762,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_5763,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_5764,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14204,plain,
( ( ( sum @ ( sum @ n25 @ n4 ) @ n3 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14152,zip_derived_cl28,zip_derived_cl2,zip_derived_cl107,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl20934,plain,
( ( ( sum @ n3 @ n3 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl708,zip_derived_cl14204]) ).
thf(zip_derived_cl135_5765,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_5766,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_5767,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20935,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n3 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20934,zip_derived_cl135,zip_derived_cl705,zip_derived_cl60]) ).
thf('596',plain,
( ( sk__1 != n3 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20935]) ).
thf(zip_derived_cl702_5768,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_5769,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_5770,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5771,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14173,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl14151]) ).
thf(zip_derived_cl49_5772,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_5773,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_5774,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_5775,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14226,plain,
( ( ( sum @ ( sum @ n20 @ n4 ) @ ( sum @ n2 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14173,zip_derived_cl49,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23]) ).
thf(zip_derived_cl128_5776,plain,
( ( sum @ n2 @ n22 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18098,plain,
( ( ( sum @ ( sum @ n20 @ n4 ) @ n24 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14226,zip_derived_cl128]) ).
thf(zip_derived_cl19444,plain,
( ( ( sum @ ( sum @ n20 @ n4 ) @ n24 )
!= ( sum @ n16 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl18098]) ).
thf(zip_derived_cl578_5777,plain,
( ( sum @ n20 @ n4 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl476_5778,plain,
( ( sum @ n16 @ n6 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19458,plain,
( ( ( sum @ n24 @ n24 )
!= n22 )
<= ( ( sk__1 = n3 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19444,zip_derived_cl578,zip_derived_cl476]) ).
thf(zip_derived_cl20784,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n3 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl19458]) ).
thf('597',plain,
( ( sk__1 != n3 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20784]) ).
thf(zip_derived_cl684_5779,plain,
( ( sum @ n24 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_5780,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5781,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14164,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_cl1094,zip_derived_cl14151]) ).
thf(zip_derived_cl40_5782,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_5783,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_5784,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_5785,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14217,plain,
( ( ( sum @ ( sum @ n11 @ n4 ) @ ( sum @ n2 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14164,zip_derived_cl40,zip_derived_cl14,zip_derived_cl40,zip_derived_cl14]) ).
thf(zip_derived_cl344_5786,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119_5787,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_5788,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17954,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ n24 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14217,zip_derived_cl344,zip_derived_cl119,zip_derived_cl353]) ).
thf(zip_derived_cl20680,plain,
( ( ( sum @ n15 @ n15 )
!= n4 )
<= ( ( sk__1 = n3 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl17954]) ).
thf(zip_derived_cl459_5789,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20683,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n3 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20680,zip_derived_cl459]) ).
thf('598',plain,
( ( sk__1 != n3 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20683]) ).
thf(zip_derived_cl677_5790,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_5791,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5792,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14176,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl14151]) ).
thf(zip_derived_cl52_5793,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_5794,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_5795,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_5796,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14229,plain,
( ( ( sum @ ( sum @ n23 @ n4 ) @ ( sum @ n2 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14176,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl131_5797,plain,
( ( sum @ n2 @ n25 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18101,plain,
( ( ( sum @ ( sum @ n23 @ n4 ) @ n1 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14229,zip_derived_cl131]) ).
thf(zip_derived_cl20334,plain,
( ( ( sum @ ( sum @ n23 @ n4 ) @ n1 )
!= ( sum @ n22 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl18101]) ).
thf(zip_derived_cl656_5798,plain,
( ( sum @ n23 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_5799,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl632_5800,plain,
( ( sum @ n22 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20359,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n3 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20334,zip_derived_cl656,zip_derived_cl81,zip_derived_cl632]) ).
thf('599',plain,
( ( sk__1 != n3 )
| ( sk_ != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20359]) ).
thf(zip_derived_cl675_5801,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_5802,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102_5803,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5804,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14172,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_cl1102,zip_derived_cl14151]) ).
thf(zip_derived_cl48_5805,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5806,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_5807,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5808,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14225,plain,
( ( ( sum @ ( sum @ n19 @ n4 ) @ ( sum @ n2 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14172,zip_derived_cl48,zip_derived_cl22,zip_derived_cl48,zip_derived_cl22]) ).
thf(zip_derived_cl127_5809,plain,
( ( sum @ n2 @ n21 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18097,plain,
( ( ( sum @ ( sum @ n19 @ n4 ) @ n23 )
!= ( sum @ ( sum @ n19 @ n21 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14225,zip_derived_cl127]) ).
thf(zip_derived_cl19161,plain,
( ( ( sum @ ( sum @ n19 @ n4 ) @ n23 )
!= ( sum @ n14 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl18097]) ).
thf(zip_derived_cl552_5810,plain,
( ( sum @ n19 @ n4 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl424_5811,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19174,plain,
( ( ( sum @ n23 @ n23 )
!= n20 )
<= ( ( sk__1 = n3 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19161,zip_derived_cl552,zip_derived_cl424]) ).
thf(zip_derived_cl20300,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n3 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl19174]) ).
thf('600',plain,
( ( sk__1 != n3 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20300]) ).
thf(zip_derived_cl650_5812,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_5813,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5814,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14175,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl14151]) ).
thf(zip_derived_cl51_5815,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_5816,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_5817,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_5818,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14228,plain,
( ( ( sum @ ( sum @ n22 @ n4 ) @ ( sum @ n2 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14175,zip_derived_cl51,zip_derived_cl25,zip_derived_cl51,zip_derived_cl25]) ).
thf(zip_derived_cl130_5819,plain,
( ( sum @ n2 @ n24 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18100,plain,
( ( ( sum @ ( sum @ n22 @ n4 ) @ n0 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14228,zip_derived_cl130]) ).
thf(zip_derived_cl20031,plain,
( ( ( sum @ ( sum @ n22 @ n4 ) @ n0 )
!= ( sum @ n20 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl18100]) ).
thf(zip_derived_cl630_5820,plain,
( ( sum @ n22 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_5821,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl580_5822,plain,
( ( sum @ n20 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20050,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n3 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20031,zip_derived_cl630,zip_derived_cl54,zip_derived_cl580]) ).
thf('601',plain,
( ( sk__1 != n3 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20050]) ).
thf(zip_derived_cl648_5823,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_5824,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1101_5825,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5826,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14171,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_cl1101,zip_derived_cl14151]) ).
thf(zip_derived_cl47_5827,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_5828,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_5829,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_5830,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14224,plain,
( ( ( sum @ ( sum @ n18 @ n4 ) @ ( sum @ n2 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14171,zip_derived_cl47,zip_derived_cl21,zip_derived_cl47,zip_derived_cl21]) ).
thf(zip_derived_cl126_5831,plain,
( ( sum @ n2 @ n20 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18096,plain,
( ( ( sum @ ( sum @ n18 @ n4 ) @ n22 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14224,zip_derived_cl126]) ).
thf(zip_derived_cl18895,plain,
( ( ( sum @ ( sum @ n18 @ n4 ) @ n22 )
!= ( sum @ n12 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl18096]) ).
thf(zip_derived_cl526_5832,plain,
( ( sum @ n18 @ n4 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl372_5833,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18907,plain,
( ( ( sum @ n22 @ n22 )
!= n18 )
<= ( ( sk__1 = n3 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18895,zip_derived_cl526,zip_derived_cl372]) ).
thf(zip_derived_cl20000,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n3 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl18907]) ).
thf('602',plain,
( ( sk__1 != n3 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20000]) ).
thf(zip_derived_cl632_5834,plain,
( ( sum @ n22 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_5835,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5836,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14163,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_cl1093,zip_derived_cl14151]) ).
thf(zip_derived_cl39_5837,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_5838,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_5839,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_5840,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14216,plain,
( ( ( sum @ ( sum @ n10 @ n4 ) @ ( sum @ n2 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14163,zip_derived_cl39,zip_derived_cl13,zip_derived_cl39,zip_derived_cl13]) ).
thf(zip_derived_cl318_5841,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118_5842,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_5843,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17953,plain,
( ( ( sum @ n14 @ n14 )
!= ( sum @ n22 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14216,zip_derived_cl318,zip_derived_cl118,zip_derived_cl326]) ).
thf(zip_derived_cl19919,plain,
( ( ( sum @ n14 @ n14 )
!= n2 )
<= ( ( sk__1 = n3 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl632,zip_derived_cl17953]) ).
thf(zip_derived_cl432_5844,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19922,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n3 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19919,zip_derived_cl432]) ).
thf('603',plain,
( ( sk__1 != n3 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19922]) ).
thf(zip_derived_cl621_5845,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_5846,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1100_5847,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5848,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14170,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_cl1100,zip_derived_cl14151]) ).
thf(zip_derived_cl46_5849,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_5850,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_5851,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_5852,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14223,plain,
( ( ( sum @ ( sum @ n17 @ n4 ) @ ( sum @ n2 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14170,zip_derived_cl46,zip_derived_cl20,zip_derived_cl46,zip_derived_cl20]) ).
thf(zip_derived_cl125_5853,plain,
( ( sum @ n2 @ n19 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18095,plain,
( ( ( sum @ ( sum @ n17 @ n4 ) @ n21 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14223,zip_derived_cl125]) ).
thf(zip_derived_cl18653,plain,
( ( ( sum @ ( sum @ n17 @ n4 ) @ n21 )
!= ( sum @ n10 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl18095]) ).
thf(zip_derived_cl500_5854,plain,
( ( sum @ n17 @ n4 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_5855,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18662,plain,
( ( ( sum @ n21 @ n21 )
!= n16 )
<= ( ( sk__1 = n3 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18653,zip_derived_cl500,zip_derived_cl320]) ).
thf(zip_derived_cl19701,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n3 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl18662]) ).
thf('604',plain,
( ( sk_ != n18 )
| ( sk__1 != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19701]) ).
thf(zip_derived_cl594_5856,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_5857,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1099_5858,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5859,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14169,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_cl1099,zip_derived_cl14151]) ).
thf(zip_derived_cl45_5860,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5861,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_5862,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5863,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14222,plain,
( ( ( sum @ ( sum @ n16 @ n4 ) @ ( sum @ n2 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14169,zip_derived_cl45,zip_derived_cl19,zip_derived_cl45,zip_derived_cl19]) ).
thf(zip_derived_cl124_5864,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17974,plain,
( ( ( sum @ ( sum @ n16 @ n4 ) @ n20 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14222,zip_derived_cl124]) ).
thf(zip_derived_cl18427,plain,
( ( ( sum @ ( sum @ n16 @ n4 ) @ n20 )
!= ( sum @ n8 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl17974]) ).
thf(zip_derived_cl474_5865,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268_5866,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18435,plain,
( ( ( sum @ n20 @ n20 )
!= n14 )
<= ( ( sk__1 = n3 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18427,zip_derived_cl474,zip_derived_cl268]) ).
thf(zip_derived_cl19415,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n3 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl18435]) ).
thf('605',plain,
( ( sk__1 != n3 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19415]) ).
thf(zip_derived_cl580_5867,plain,
( ( sum @ n20 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1092_5868,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5869,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14162,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_cl1092,zip_derived_cl14151]) ).
thf(zip_derived_cl38_5870,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_5871,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5872,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_5873,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14215,plain,
( ( ( sum @ ( sum @ n9 @ n4 ) @ ( sum @ n2 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14162,zip_derived_cl38,zip_derived_cl12,zip_derived_cl38,zip_derived_cl12]) ).
thf(zip_derived_cl292_5874,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117_5875,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_5876,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_5877,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17952,plain,
( ( n0
!= ( sum @ n20 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14215,zip_derived_cl292,zip_derived_cl117,zip_derived_cl405,zip_derived_cl299]) ).
thf(zip_derived_cl19325,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n3 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl580,zip_derived_cl17952]) ).
thf('606',plain,
( ( sk__1 != n3 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19325]) ).
thf(zip_derived_cl567_5878,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_5879,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1098_5880,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5881,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14168,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_cl1098,zip_derived_cl14151]) ).
thf(zip_derived_cl44_5882,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5883,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_5884,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5885,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14221,plain,
( ( ( sum @ ( sum @ n15 @ n4 ) @ ( sum @ n2 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14168,zip_derived_cl44,zip_derived_cl18,zip_derived_cl44,zip_derived_cl18]) ).
thf(zip_derived_cl123_5886,plain,
( ( sum @ n2 @ n17 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17973,plain,
( ( ( sum @ ( sum @ n15 @ n4 ) @ n19 )
!= ( sum @ ( sum @ n15 @ n17 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14221,zip_derived_cl123]) ).
thf(zip_derived_cl18204,plain,
( ( ( sum @ ( sum @ n15 @ n4 ) @ n19 )
!= ( sum @ n6 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl17973]) ).
thf(zip_derived_cl448_5887,plain,
( ( sum @ n15 @ n4 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_5888,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18208,plain,
( ( ( sum @ n19 @ n19 )
!= n12 )
<= ( ( sk__1 = n3 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18204,zip_derived_cl448,zip_derived_cl216]) ).
thf(zip_derived_cl19132,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n3 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl18208]) ).
thf('607',plain,
( ( sk__1 != n3 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19132]) ).
thf(zip_derived_cl540_5889,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_5890,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1097_5891,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5892,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14167,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_cl1097,zip_derived_cl14151]) ).
thf(zip_derived_cl43_5893,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_5894,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_5895,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_5896,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14220,plain,
( ( ( sum @ ( sum @ n14 @ n4 ) @ ( sum @ n2 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14167,zip_derived_cl43,zip_derived_cl17,zip_derived_cl43,zip_derived_cl17]) ).
thf(zip_derived_cl422_5897,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122_5898,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17957,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ ( sum @ n14 @ n16 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14220,zip_derived_cl422,zip_derived_cl122]) ).
thf(zip_derived_cl17979,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ n4 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl17957]) ).
thf(zip_derived_cl164_5899,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17984,plain,
( ( ( sum @ n18 @ n18 )
!= n10 )
<= ( ( sk__1 = n3 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17979,zip_derived_cl164]) ).
thf(zip_derived_cl18868,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n3 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl17984]) ).
thf('608',plain,
( ( sk__1 != n3 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18868]) ).
thf(zip_derived_cl528_5900,plain,
( ( sum @ n18 @ n6 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1091_5901,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5902,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14161,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_cl1091,zip_derived_cl14151]) ).
thf(zip_derived_cl37_5903,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5904,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_5905,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5906,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14214,plain,
( ( ( sum @ ( sum @ n8 @ n4 ) @ ( sum @ n2 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14161,zip_derived_cl37,zip_derived_cl11,zip_derived_cl37,zip_derived_cl11]) ).
thf(zip_derived_cl266_5907,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116_5908,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_5909,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_5910,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17951,plain,
( ( n24
!= ( sum @ n18 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14214,zip_derived_cl266,zip_derived_cl116,zip_derived_cl378,zip_derived_cl272]) ).
thf(zip_derived_cl18793,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n3 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl17951]) ).
thf('609',plain,
( ( sk__1 != n3 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18793]) ).
thf(zip_derived_cl513_5911,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1096_5912,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5913,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14166,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_cl1096,zip_derived_cl14151]) ).
thf(zip_derived_cl42_5914,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_5915,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5916,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_5917,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14219,plain,
( ( ( sum @ ( sum @ n13 @ n4 ) @ ( sum @ n2 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14166,zip_derived_cl42,zip_derived_cl16,zip_derived_cl42,zip_derived_cl16]) ).
thf(zip_derived_cl396_5918,plain,
( ( sum @ n13 @ n4 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121_5919,plain,
( ( sum @ n2 @ n15 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_5920,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_5921,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17956,plain,
( ( ( sum @ n17 @ n17 )
!= n8 )
<= ( ( sk__1 = n3 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14219,zip_derived_cl396,zip_derived_cl121,zip_derived_cl407,zip_derived_cl112]) ).
thf(zip_derived_cl18629,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n3 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl17956]) ).
thf('610',plain,
( ( sk__1 != n3 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18629]) ).
thf(zip_derived_cl486_5922,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1095_5923,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5924,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14165,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_cl1095,zip_derived_cl14151]) ).
thf(zip_derived_cl41_5925,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_5926,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_5927,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_5928,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14218,plain,
( ( ( sum @ ( sum @ n12 @ n4 ) @ ( sum @ n2 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14165,zip_derived_cl41,zip_derived_cl15,zip_derived_cl41,zip_derived_cl15]) ).
thf(zip_derived_cl370_5929,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120_5930,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_5931,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_5932,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17955,plain,
( ( ( sum @ n16 @ n16 )
!= n6 )
<= ( ( sk__1 = n3 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14218,zip_derived_cl370,zip_derived_cl120,zip_derived_cl380,zip_derived_cl60]) ).
thf(zip_derived_cl18409,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n3 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl17955]) ).
thf('611',plain,
( ( sk__1 != n3 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18409]) ).
thf(zip_derived_cl476_5933,plain,
( ( sum @ n16 @ n6 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1090_5934,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5935,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14160,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_cl1090,zip_derived_cl14151]) ).
thf(zip_derived_cl36_5936,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_5937,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_5938,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_5939,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14213,plain,
( ( ( sum @ ( sum @ n7 @ n4 ) @ ( sum @ n2 @ n9 ) )
!= ( sum @ ( sum @ n7 @ n9 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14160,zip_derived_cl36,zip_derived_cl10,zip_derived_cl36,zip_derived_cl10]) ).
thf(zip_derived_cl240_5940,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115_5941,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_5942,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_5943,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17950,plain,
( ( n22
!= ( sum @ n16 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14213,zip_derived_cl240,zip_derived_cl115,zip_derived_cl351,zip_derived_cl245]) ).
thf(zip_derived_cl18350,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n3 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl17950]) ).
thf('612',plain,
( ( sk__1 != n3 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18350]) ).
thf(zip_derived_cl1089_5944,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5945,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14159,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_cl1089,zip_derived_cl14151]) ).
thf(zip_derived_cl35_5946,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_5947,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_5948,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_5949,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14212,plain,
( ( ( sum @ ( sum @ n6 @ n4 ) @ ( sum @ n2 @ n8 ) )
!= ( sum @ ( sum @ n6 @ n8 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14159,zip_derived_cl35,zip_derived_cl9,zip_derived_cl35,zip_derived_cl9]) ).
thf(zip_derived_cl214_5950,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114_5951,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_5952,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_5953,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl424_5954,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17948,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n3 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14212,zip_derived_cl214,zip_derived_cl114,zip_derived_cl324,zip_derived_cl218,zip_derived_cl424]) ).
thf('613',plain,
( ( sk__1 != n3 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17948]) ).
thf(zip_derived_cl1088_5955,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5956,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14158,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_cl1088,zip_derived_cl14151]) ).
thf(zip_derived_cl34_5957,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_5958,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_5959,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_5960,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14211,plain,
( ( ( sum @ ( sum @ n5 @ n4 ) @ ( sum @ n2 @ n7 ) )
!= ( sum @ ( sum @ n5 @ n7 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14158,zip_derived_cl34,zip_derived_cl8,zip_derived_cl34,zip_derived_cl8]) ).
thf(zip_derived_cl188_5961,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113_5962,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_5963,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_5964,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl372_5965,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17946,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n3 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14211,zip_derived_cl188,zip_derived_cl113,zip_derived_cl297,zip_derived_cl191,zip_derived_cl372]) ).
thf('614',plain,
( ( sk__1 != n3 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17946]) ).
thf(zip_derived_cl1087_5966,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5967,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14157,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_cl1087,zip_derived_cl14151]) ).
thf(zip_derived_cl33_5968,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5969,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_5970,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5971,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14210,plain,
( ( ( sum @ ( sum @ n4 @ n4 ) @ ( sum @ n2 @ n6 ) )
!= ( sum @ ( sum @ n4 @ n6 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14157,zip_derived_cl33,zip_derived_cl7,zip_derived_cl33,zip_derived_cl7]) ).
thf(zip_derived_cl162_5972,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_5973,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_5974,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_5975,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_5976,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17944,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n3 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14210,zip_derived_cl162,zip_derived_cl112,zip_derived_cl270,zip_derived_cl164,zip_derived_cl320]) ).
thf('615',plain,
( ( sk__1 != n3 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17944]) ).
thf(zip_derived_cl1086_5977,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5978,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14156,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_cl1086,zip_derived_cl14151]) ).
thf(zip_derived_cl32_5979,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_5980,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_5981,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_5982,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14209,plain,
( ( ( sum @ ( sum @ n3 @ n4 ) @ ( sum @ n2 @ n5 ) )
!= ( sum @ ( sum @ n3 @ n5 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14156,zip_derived_cl32,zip_derived_cl6,zip_derived_cl32,zip_derived_cl6]) ).
thf(zip_derived_cl136_5983,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111_5984,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_5985,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_5986,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268_5987,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17942,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n3 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14209,zip_derived_cl136,zip_derived_cl111,zip_derived_cl243,zip_derived_cl137,zip_derived_cl268]) ).
thf('616',plain,
( ( sk__1 != n3 )
| ( sk_ != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17942]) ).
thf(zip_derived_cl1084_5988,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5989,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14154,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_cl1084,zip_derived_cl14151]) ).
thf(zip_derived_cl30_5990,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_5991,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_5992,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109_5993,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_5994,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_5995,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_5996,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14206,plain,
( ( ( sum @ n5 @ n5 )
!= ( sum @ n4 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14154,zip_derived_cl30,zip_derived_cl84,zip_derived_cl4,zip_derived_cl109,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83]) ).
thf(zip_derived_cl189_5997,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_5998,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16679,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n3 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14206,zip_derived_cl189,zip_derived_cl164]) ).
thf('617',plain,
( ( sk__1 != n3 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16679]) ).
thf(zip_derived_cl1083,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_5999,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14153,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_cl1083,zip_derived_cl14151]) ).
thf(zip_derived_cl29_6000,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_6001,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6002,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_6003,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6004,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6005,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6006,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14205,plain,
( ( ( sum @ n4 @ n4 )
!= ( sum @ n2 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14153,zip_derived_cl29,zip_derived_cl58,zip_derived_cl3,zip_derived_cl108,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56]) ).
thf(zip_derived_cl162_6007,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_6008,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16669,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n3 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14205,zip_derived_cl162,zip_derived_cl112]) ).
thf('618',plain,
( ( sk__1 != n3 )
| ( sk_ != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16669]) ).
thf(zip_derived_cl682_6009,plain,
( ( sum @ n24 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_6010,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14151_6011,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_cl110,zip_derived_cl5941]) ).
thf(zip_derived_cl14177,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl14151]) ).
thf(zip_derived_cl53_6012,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_6013,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106_6014,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_6015,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_6016,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14230,plain,
( ( ( sum @ ( sum @ n24 @ n4 ) @ n2 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14177,zip_derived_cl53,zip_derived_cl27,zip_derived_cl106,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20670,plain,
( ( ( sum @ n2 @ n2 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl14230]) ).
thf(zip_derived_cl108_6017,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_6018,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20673,plain,
( ( n4
!= ( sum @ n24 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20670,zip_derived_cl108,zip_derived_cl678]) ).
thf(zip_derived_cl684_6019,plain,
( ( sum @ n24 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20952,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n3 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20673,zip_derived_cl684]) ).
thf('619',plain,
( ( sk__1 != n3 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20952]) ).
thf(zip_derived_cl1059_6020,plain,
( ( sk__1 = n3 )
<= ( sk__1 = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1085_6021,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl0_6022,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_cl1536,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_cl1085,zip_derived_cl0]) ).
thf(zip_derived_cl5_6023,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_6024,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1541,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_cl1536,zip_derived_cl5,zip_derived_cl5]) ).
thf(zip_derived_cl2190,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_cl1059,zip_derived_cl1541]) ).
thf(zip_derived_cl5_6025,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_6026,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2248,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_cl2190,zip_derived_cl5,zip_derived_cl5]) ).
thf('620',plain,
( ( sk_ != n3 )
| ( sk__1 != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2248]) ).
thf(zip_derived_cl1083_6027,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20403_6028,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl12831]) ).
thf(zip_derived_cl20553,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n0 ) @ ( sum @ n24 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n24 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1083,zip_derived_cl20403]) ).
thf(zip_derived_cl29_6029,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_6030,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6031,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6032,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6033,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6034,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_6035,plain,
( ( sum @ n2 @ n24 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20605,plain,
( ( ( sum @ n0 @ ( sum @ n24 @ n2 ) )
!= n0 )
<= ( ( sk__1 = n25 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20553,zip_derived_cl29,zip_derived_cl54,zip_derived_cl3,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl130]) ).
thf(zip_derived_cl680_6036,plain,
( ( sum @ n24 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_6037,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20984,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n25 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20605,zip_derived_cl680,zip_derived_cl54]) ).
thf('621',plain,
( ( sk_ != n1 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20984]) ).
thf(zip_derived_cl1083_6038,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20819_6039,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl4950]) ).
thf(zip_derived_cl20824,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n1 ) @ ( sum @ n25 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1083,zip_derived_cl20819]) ).
thf(zip_derived_cl29_6040,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_6041,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6042,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_6043,plain,
( ( sum @ n25 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_6044,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6045,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6046,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6047,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106_6048,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20877,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n0 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20824,zip_derived_cl29,zip_derived_cl55,zip_derived_cl3,zip_derived_cl706,zip_derived_cl81,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl106]) ).
thf('622',plain,
( ( sk_ != n1 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20877]) ).
thf(zip_derived_cl702_6049,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1083_6050,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl650_6051,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_6052,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1079,plain,
( ( sk__1 = n23 )
<= ( sk__1 = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_6053,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_cl1434,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n23 ) ) @ ( sum @ ( pred @ n23 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1079,zip_derived_cl0]) ).
thf(zip_derived_cl25_6054,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_6055,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5165,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ ( pred @ n23 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n23 ) @ n24 ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1434,zip_derived_cl25,zip_derived_cl25]) ).
thf(zip_derived_cl12396,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n22 @ n24 ) ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl5165]) ).
thf(zip_derived_cl20028,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20085,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1083,zip_derived_cl20028]) ).
thf(zip_derived_cl29_6056,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_6057,plain,
( ( sum @ n0 @ n24 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6058,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl628_6059,plain,
( ( sum @ n22 @ n2 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6060,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6061,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6062,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126_6063,plain,
( ( sum @ n2 @ n20 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20137,plain,
( ( ( sum @ n24 @ n24 )
!= n22 )
<= ( ( sk__1 = n23 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20085,zip_derived_cl29,zip_derived_cl78,zip_derived_cl3,zip_derived_cl628,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl126]) ).
thf(zip_derived_cl20789,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n23 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl20137]) ).
thf('623',plain,
( ( sk_ != n1 )
| ( sk__1 != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20789]) ).
thf(zip_derived_cl675_6064,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1083_6065,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19729_6066,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n18 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl12176]) ).
thf(zip_derived_cl19776,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n18 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1083,zip_derived_cl19729]) ).
thf(zip_derived_cl29_6067,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_6068,plain,
( ( sum @ n0 @ n23 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6069,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl602_6070,plain,
( ( sum @ n21 @ n2 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6071,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6072,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6073,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124_6074,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19828,plain,
( ( ( sum @ n23 @ n23 )
!= n20 )
<= ( ( sk__1 = n22 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19776,zip_derived_cl29,zip_derived_cl77,zip_derived_cl3,zip_derived_cl602,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl124]) ).
thf(zip_derived_cl20305,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n22 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl19828]) ).
thf('624',plain,
( ( sk_ != n1 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20305]) ).
thf(zip_derived_cl648_6075,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1083_6076,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19441_6077,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n16 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl11851]) ).
thf(zip_derived_cl19481,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n16 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1083,zip_derived_cl19441]) ).
thf(zip_derived_cl29_6078,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_6079,plain,
( ( sum @ n0 @ n22 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6080,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_6081,plain,
( ( sum @ n20 @ n2 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6082,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6083,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6084,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122_6085,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19533,plain,
( ( ( sum @ n22 @ n22 )
!= n18 )
<= ( ( sk__1 = n21 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19481,zip_derived_cl29,zip_derived_cl76,zip_derived_cl3,zip_derived_cl576,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl122]) ).
thf(zip_derived_cl20005,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n21 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl19533]) ).
thf('625',plain,
( ( sk_ != n1 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20005]) ).
thf(zip_derived_cl621_6086,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1083_6087,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl19158_6088,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n14 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl11527]) ).
thf(zip_derived_cl19194,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n14 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1083,zip_derived_cl19158]) ).
thf(zip_derived_cl29_6089,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_6090,plain,
( ( sum @ n0 @ n21 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6091,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl550_6092,plain,
( ( sum @ n19 @ n2 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6093,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6094,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6095,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120_6096,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19246,plain,
( ( ( sum @ n21 @ n21 )
!= n16 )
<= ( ( sk__1 = n20 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19194,zip_derived_cl29,zip_derived_cl75,zip_derived_cl3,zip_derived_cl550,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl120]) ).
thf(zip_derived_cl19706,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n20 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl19246]) ).
thf('626',plain,
( ( sk_ != n1 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19706]) ).
thf(zip_derived_cl594_6097,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1083_6098,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18892_6099,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl11201]) ).
thf(zip_derived_cl18924,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n12 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1083,zip_derived_cl18892]) ).
thf(zip_derived_cl29_6100,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_6101,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6102,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl524_6103,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6104,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6105,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6106,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118_6107,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18976,plain,
( ( ( sum @ n20 @ n20 )
!= n14 )
<= ( ( sk__1 = n19 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18924,zip_derived_cl29,zip_derived_cl74,zip_derived_cl3,zip_derived_cl524,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl118]) ).
thf(zip_derived_cl19421,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n19 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl18976]) ).
thf('627',plain,
( ( sk_ != n1 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19421]) ).
thf(zip_derived_cl567_6108,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1083_6109,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18650_6110,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl10875]) ).
thf(zip_derived_cl18671,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n10 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1083,zip_derived_cl18650]) ).
thf(zip_derived_cl29_6111,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_6112,plain,
( ( sum @ n0 @ n19 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6113,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl498_6114,plain,
( ( sum @ n17 @ n2 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6115,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6116,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6117,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116_6118,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18723,plain,
( ( ( sum @ n19 @ n19 )
!= n12 )
<= ( ( sk__1 = n18 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18671,zip_derived_cl29,zip_derived_cl73,zip_derived_cl3,zip_derived_cl498,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl116]) ).
thf(zip_derived_cl19139,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n18 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl18723]) ).
thf('628',plain,
( ( sk_ != n1 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19139]) ).
thf(zip_derived_cl540_6119,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1083_6120,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_6121,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18443,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1083,zip_derived_cl18424]) ).
thf(zip_derived_cl29_6122,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_6123,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6124,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl472_6125,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6126,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6127,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6128,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114_6129,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18495,plain,
( ( ( sum @ n18 @ n18 )
!= n10 )
<= ( ( sk__1 = n17 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18443,zip_derived_cl29,zip_derived_cl72,zip_derived_cl3,zip_derived_cl472,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl114]) ).
thf(zip_derived_cl18875,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n17 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl18495]) ).
thf('629',plain,
( ( sk_ != n1 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18875]) ).
thf(zip_derived_cl513_6130,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1083_6131,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18201_6132,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n6 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl10223]) ).
thf(zip_derived_cl18212,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n6 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1083,zip_derived_cl18201]) ).
thf(zip_derived_cl29_6133,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_6134,plain,
( ( sum @ n0 @ n17 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6135,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl446_6136,plain,
( ( sum @ n15 @ n2 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6137,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6138,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6139,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_6140,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18264,plain,
( ( ( sum @ n17 @ n17 )
!= n8 )
<= ( ( sk__1 = n16 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18212,zip_derived_cl29,zip_derived_cl71,zip_derived_cl3,zip_derived_cl446,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl112]) ).
thf(zip_derived_cl18634,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n16 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl18264]) ).
thf('630',plain,
( ( sk_ != n1 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18634]) ).
thf(zip_derived_cl486_6141,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1083_6142,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17975_6143,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n4 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl9896]) ).
thf(zip_derived_cl17986,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n4 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1083,zip_derived_cl17975]) ).
thf(zip_derived_cl29_6144,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_6145,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6146,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl420_6147,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6148,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6149,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6150,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_6151,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18038,plain,
( ( ( sum @ n16 @ n16 )
!= n6 )
<= ( ( sk__1 = n15 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17986,zip_derived_cl29,zip_derived_cl70,zip_derived_cl3,zip_derived_cl420,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl110]) ).
thf(zip_derived_cl18411,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n15 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl18038]) ).
thf('631',plain,
( ( sk_ != n1 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18411]) ).
thf(zip_derived_cl459_6152,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1083_6153,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17756_6154,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n2 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl9569]) ).
thf(zip_derived_cl17764,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n2 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1083,zip_derived_cl17756]) ).
thf(zip_derived_cl29_6155,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_6156,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6157,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl394_6158,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6159,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6160,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6161,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_6162,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17816,plain,
( ( ( sum @ n15 @ n15 )
!= n4 )
<= ( ( sk__1 = n14 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17764,zip_derived_cl29,zip_derived_cl69,zip_derived_cl3,zip_derived_cl394,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl108]) ).
thf(zip_derived_cl18188,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n14 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl17816]) ).
thf('632',plain,
( ( sk_ != n1 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18188]) ).
thf(zip_derived_cl432_6163,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1083_6164,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17592_6165,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl9242]) ).
thf(zip_derived_cl17594,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n0 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1083,zip_derived_cl17592]) ).
thf(zip_derived_cl29_6166,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_6167,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6168,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl368_6169,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6170,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6171,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6172,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106_6173,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17646,plain,
( ( ( sum @ n14 @ n14 )
!= n2 )
<= ( ( sk__1 = n13 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17594,zip_derived_cl29,zip_derived_cl68,zip_derived_cl3,zip_derived_cl368,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl106]) ).
thf(zip_derived_cl17963,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n13 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl17646]) ).
thf('633',plain,
( ( sk_ != n1 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17963]) ).
thf(zip_derived_cl405_6174,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1083_6175,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17409_6176,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n13 ) @ ( sum @ n11 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n24 ) )
<= ( sk__1 = n12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl8915]) ).
thf(zip_derived_cl17416,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1083,zip_derived_cl17409]) ).
thf(zip_derived_cl29_6177,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_6178,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6179,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl342_6180,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6181,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6182,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6183,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_6184,plain,
( ( sum @ n2 @ n24 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17468,plain,
( ( ( sum @ n13 @ n13 )
!= n0 )
<= ( ( sk__1 = n12 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17416,zip_derived_cl29,zip_derived_cl67,zip_derived_cl3,zip_derived_cl342,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl130]) ).
thf(zip_derived_cl17740,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n12 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl17468]) ).
thf('634',plain,
( ( sk_ != n1 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17740]) ).
thf(zip_derived_cl378_6185,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1083_6186,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl17181_6187,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n12 ) @ ( sum @ n10 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl8588]) ).
thf(zip_derived_cl17185,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1083,zip_derived_cl17181]) ).
thf(zip_derived_cl29_6188,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_6189,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6190,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl316_6191,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6192,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6193,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6194,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_6195,plain,
( ( sum @ n2 @ n22 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17237,plain,
( ( ( sum @ n12 @ n12 )
!= n24 )
<= ( ( sk__1 = n11 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17185,zip_derived_cl29,zip_derived_cl66,zip_derived_cl3,zip_derived_cl316,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl128]) ).
thf(zip_derived_cl17584,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n11 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl17237]) ).
thf('635',plain,
( ( sk_ != n1 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17584]) ).
thf(zip_derived_cl351_6196,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1083_6197,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16960_6198,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_cl299,zip_derived_cl8259]) ).
thf(zip_derived_cl16968,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_cl1083,zip_derived_cl16960]) ).
thf(zip_derived_cl29_6199,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_6200,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6201,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_6202,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6203,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6204,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6205,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126_6206,plain,
( ( sum @ n2 @ n20 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17020,plain,
( ( ( sum @ n11 @ n11 )
!= n22 )
<= ( ( sk__1 = n10 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16968,zip_derived_cl29,zip_derived_cl65,zip_derived_cl3,zip_derived_cl290,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl126]) ).
thf(zip_derived_cl17396,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n10 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl17020]) ).
thf('636',plain,
( ( sk_ != n1 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17396]) ).
thf(zip_derived_cl324_6207,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1083_6208,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_6209,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16734,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_cl1083,zip_derived_cl16730]) ).
thf(zip_derived_cl29_6210,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_6211,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6212,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_6213,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6214,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6215,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6216,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124_6217,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16786,plain,
( ( ( sum @ n10 @ n10 )
!= n20 )
<= ( ( sk__1 = n9 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16734,zip_derived_cl29,zip_derived_cl64,zip_derived_cl3,zip_derived_cl264,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl124]) ).
thf(zip_derived_cl17170,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n9 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl16786]) ).
thf('637',plain,
( ( sk_ != n1 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17170]) ).
thf(zip_derived_cl297_6218,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1083_6219,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16503_6220,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_cl245,zip_derived_cl7600]) ).
thf(zip_derived_cl16511,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_cl1083,zip_derived_cl16503]) ).
thf(zip_derived_cl29_6221,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_6222,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6223,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl238_6224,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6225,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6226,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6227,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122_6228,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16563,plain,
( ( ( sum @ n9 @ n9 )
!= n18 )
<= ( ( sk__1 = n8 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16511,zip_derived_cl29,zip_derived_cl63,zip_derived_cl3,zip_derived_cl238,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl122]) ).
thf(zip_derived_cl16948,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n8 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl16563]) ).
thf('638',plain,
( ( sk_ != n1 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16948]) ).
thf(zip_derived_cl270_6229,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1083_6230,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16281_6231,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_cl218,zip_derived_cl7273]) ).
thf(zip_derived_cl16283,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_cl1083,zip_derived_cl16281]) ).
thf(zip_derived_cl29_6232,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_6233,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6234,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212_6235,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6236,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6237,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6238,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120_6239,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16335,plain,
( ( ( sum @ n8 @ n8 )
!= n16 )
<= ( ( sk__1 = n7 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16283,zip_derived_cl29,zip_derived_cl62,zip_derived_cl3,zip_derived_cl212,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl120]) ).
thf(zip_derived_cl16720,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n7 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl270,zip_derived_cl16335]) ).
thf('639',plain,
( ( sk_ != n1 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16720]) ).
thf(zip_derived_cl1083_6240,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl13384_6241,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_cl83,zip_derived_cl5597]) ).
thf(zip_derived_cl13386,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_cl1083,zip_derived_cl13384]) ).
thf(zip_derived_cl29_6242,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_6243,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6244,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_6245,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6246,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6247,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6248,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13438,plain,
( ( ( sum @ n3 @ n3 )
!= ( sum @ n2 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13386,zip_derived_cl29,zip_derived_cl57,zip_derived_cl3,zip_derived_cl82,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56]) ).
thf(zip_derived_cl135_6249,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_6250,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16497,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n2 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13438,zip_derived_cl135,zip_derived_cl110]) ).
thf('640',plain,
( ( sk_ != n1 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16497]) ).
thf(zip_derived_cl243_6251,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1083_6252,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15787_6253,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_cl191,zip_derived_cl6944]) ).
thf(zip_derived_cl15789,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_cl1083,zip_derived_cl15787]) ).
thf(zip_derived_cl29_6254,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_6255,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6256,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl186_6257,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6258,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6259,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6260,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118_6261,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15841,plain,
( ( ( sum @ n7 @ n7 )
!= n14 )
<= ( ( sk__1 = n6 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15789,zip_derived_cl29,zip_derived_cl61,zip_derived_cl3,zip_derived_cl186,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl118]) ).
thf(zip_derived_cl16492,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n6 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl15841]) ).
thf('641',plain,
( ( sk_ != n1 )
| ( sk__1 != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16492]) ).
thf(zip_derived_cl1083_6262,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl15178_6263,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_cl164,zip_derived_cl6609]) ).
thf(zip_derived_cl15180,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_cl1083,zip_derived_cl15178]) ).
thf(zip_derived_cl29_6264,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_6265,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6266,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_6267,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6268,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6269,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6270,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116_6271,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15232,plain,
( ( ( sum @ n6 @ n6 )
!= n12 )
<= ( ( sk__1 = n5 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15180,zip_derived_cl29,zip_derived_cl60,zip_derived_cl3,zip_derived_cl160,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl116]) ).
thf(zip_derived_cl216_6272,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16412,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n5 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15232,zip_derived_cl216]) ).
thf('642',plain,
( ( sk_ != n1 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16412]) ).
thf(zip_derived_cl1083_6273,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl14634_6274,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_cl137,zip_derived_cl6275]) ).
thf(zip_derived_cl14636,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_cl1083,zip_derived_cl14634]) ).
thf(zip_derived_cl29_6275,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_6276,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6277,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_6278,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6279,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6280,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6281,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114_6282,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14688,plain,
( ( ( sum @ n5 @ n5 )
!= n10 )
<= ( ( sk__1 = n4 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14636,zip_derived_cl29,zip_derived_cl59,zip_derived_cl3,zip_derived_cl134,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl114]) ).
thf(zip_derived_cl189_6283,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16392,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n4 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14688,zip_derived_cl189]) ).
thf('643',plain,
( ( sk_ != n1 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16392]) ).
thf(zip_derived_cl729_6284,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1083_6285,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20331_6286,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n22 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl12613]) ).
thf(zip_derived_cl20405,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n22 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1083,zip_derived_cl20331]) ).
thf(zip_derived_cl29_6287,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_6288,plain,
( ( sum @ n0 @ n25 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6289,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl654_6290,plain,
( ( sum @ n23 @ n2 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_6291,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6292,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6293,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_6294,plain,
( ( sum @ n2 @ n22 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20457,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n24 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20405,zip_derived_cl29,zip_derived_cl79,zip_derived_cl3,zip_derived_cl654,zip_derived_cl29,zip_derived_cl3,zip_derived_cl56,zip_derived_cl128]) ).
thf(zip_derived_cl21144,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n24 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl20457]) ).
thf('644',plain,
( ( sk_ != n1 )
| ( sk__1 != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21144]) ).
thf(zip_derived_cl1057_6295,plain,
( ( sk__1 = n1 )
<= ( sk__1 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1083_6296,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl0_6297,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_cl1523,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_cl1083,zip_derived_cl0]) ).
thf(zip_derived_cl3_6298,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6299,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1526,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_cl1523,zip_derived_cl3,zip_derived_cl3]) ).
thf(zip_derived_cl2017,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_cl1057,zip_derived_cl1526]) ).
thf(zip_derived_cl3_6300,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_6301,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2071,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_cl2017,zip_derived_cl3,zip_derived_cl3]) ).
thf('645',plain,
( ( sk_ != n1 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2071]) ).
thf(zip_derived_cl1106_6302,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6303,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20108,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl20028]) ).
thf(zip_derived_cl52_6304,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_6305,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_6306,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_6307,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20180,plain,
( ( ( sum @ ( sum @ n23 @ n24 ) @ ( sum @ n22 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20108,zip_derived_cl52,zip_derived_cl26,zip_derived_cl52,zip_derived_cl26]) ).
thf(zip_derived_cl676_6308,plain,
( ( sum @ n23 @ n24 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl651_6309,plain,
( ( sum @ n22 @ n25 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl621_6310,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl677_6311,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl646_6312,plain,
( ( sum @ n22 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21293,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n23 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20180,zip_derived_cl676,zip_derived_cl651,zip_derived_cl621,zip_derived_cl677,zip_derived_cl646]) ).
thf('646',plain,
( ( sk__1 != n23 )
| ( sk_ != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21293]) ).
thf(zip_derived_cl729_6313,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1084_6314,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6315,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20086,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1084,zip_derived_cl20028]) ).
thf(zip_derived_cl30_6316,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104_6317,plain,
( ( sum @ n1 @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_6318,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl629_6319,plain,
( ( sum @ n22 @ n3 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_6320,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_6321,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_6322,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_6323,plain,
( ( sum @ n4 @ n20 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20138,plain,
( ( ( sum @ n25 @ n25 )
!= n24 )
<= ( ( sk__1 = n23 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20086,zip_derived_cl30,zip_derived_cl104,zip_derived_cl4,zip_derived_cl629,zip_derived_cl30,zip_derived_cl4,zip_derived_cl83,zip_derived_cl178]) ).
thf(zip_derived_cl21142,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n23 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl20138]) ).
thf('647',plain,
( ( sk__1 != n23 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21142]) ).
thf(zip_derived_cl728_6324,plain,
( ( sum @ n25 @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1082_6325,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6326,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20084,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1082,zip_derived_cl20028]) ).
thf(zip_derived_cl28_6327,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_6328,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl627_6329,plain,
( ( sum @ n22 @ n1 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_6330,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_6331,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20136,plain,
( ( ( sum @ ( sum @ n25 @ n24 ) @ n23 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20084,zip_derived_cl28,zip_derived_cl2,zip_derived_cl627,zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl21110,plain,
( ( ( sum @ n23 @ n23 )
!= ( sum @ ( sum @ n25 @ n1 ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl20136]) ).
thf(zip_derived_cl675_6332,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_6333,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_6334,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21111,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n23 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21110,zip_derived_cl675,zip_derived_cl705,zip_derived_cl74]) ).
thf('648',plain,
( ( sk__1 != n23 )
| ( sk_ != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21111]) ).
thf(zip_derived_cl702_6335,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_6336,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6337,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20109,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl20028]) ).
thf(zip_derived_cl53_6338,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_6339,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl626_6340,plain,
( ( sum @ n22 @ n0 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_6341,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_6342,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20181,plain,
( ( ( sum @ ( sum @ n24 @ n24 ) @ n22 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20109,zip_derived_cl53,zip_derived_cl27,zip_derived_cl626,zip_derived_cl53,zip_derived_cl27]) ).
thf(zip_derived_cl20790,plain,
( ( ( sum @ n22 @ n22 )
!= ( sum @ ( sum @ n24 @ n0 ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl20181]) ).
thf(zip_derived_cl648_6343,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_6344,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl698_6345,plain,
( ( sum @ n24 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20817,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n23 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20790,zip_derived_cl648,zip_derived_cl678,zip_derived_cl698]) ).
thf('649',plain,
( ( sk__1 != n23 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20817]) ).
thf(zip_derived_cl698_6346,plain,
( ( sum @ n24 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_6347,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6348,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20096,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl20028]) ).
thf(zip_derived_cl40_6349,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl364_6350,plain,
( ( sum @ n11 @ n24 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6351,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl639_6352,plain,
( ( sum @ n22 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_6353,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_6354,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6355,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_6356,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20157,plain,
( ( n18
!= ( sum @ n24 @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20096,zip_derived_cl40,zip_derived_cl364,zip_derived_cl14,zip_derived_cl639,zip_derived_cl297,zip_derived_cl40,zip_derived_cl14,zip_derived_cl353]) ).
thf(zip_derived_cl20750,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n23 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl698,zip_derived_cl20157]) ).
thf('650',plain,
( ( sk__1 != n23 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20750]) ).
thf(zip_derived_cl1104_6357,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6358,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20106,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1104,zip_derived_cl20028]) ).
thf(zip_derived_cl50_6359,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl624_6360,plain,
( ( sum @ n21 @ n24 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_6361,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl649_6362,plain,
( ( sum @ n22 @ n23 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl567_6363,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_6364,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_6365,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl623_6366,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_6367,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20176,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n23 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20106,zip_derived_cl50,zip_derived_cl624,zip_derived_cl24,zip_derived_cl649,zip_derived_cl567,zip_derived_cl50,zip_derived_cl24,zip_derived_cl623,zip_derived_cl542]) ).
thf('651',plain,
( ( sk__1 != n23 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20176]) ).
thf(zip_derived_cl1103_6368,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6369,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20105,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl20028]) ).
thf(zip_derived_cl49_6370,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl598_6371,plain,
( ( sum @ n20 @ n24 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_6372,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl648_6373,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl540_6374,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_6375,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_6376,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_6377,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl490_6378,plain,
( ( sum @ n16 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20174,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n23 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20105,zip_derived_cl49,zip_derived_cl598,zip_derived_cl23,zip_derived_cl648,zip_derived_cl540,zip_derived_cl49,zip_derived_cl23,zip_derived_cl596,zip_derived_cl490]) ).
thf('652',plain,
( ( sk__1 != n23 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20174]) ).
thf(zip_derived_cl1102_6379,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6380,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20104,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1102,zip_derived_cl20028]) ).
thf(zip_derived_cl48_6381,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl572_6382,plain,
( ( sum @ n19 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_6383,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl647_6384,plain,
( ( sum @ n22 @ n21 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl513_6385,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_6386,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_6387,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_6388,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438_6389,plain,
( ( sum @ n14 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20172,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n23 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20104,zip_derived_cl48,zip_derived_cl572,zip_derived_cl22,zip_derived_cl647,zip_derived_cl513,zip_derived_cl48,zip_derived_cl22,zip_derived_cl569,zip_derived_cl438]) ).
thf('653',plain,
( ( sk__1 != n23 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20172]) ).
thf(zip_derived_cl1101_6390,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6391,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20103,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1101,zip_derived_cl20028]) ).
thf(zip_derived_cl47_6392,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_6393,plain,
( ( sum @ n18 @ n24 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_6394,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl646_6395,plain,
( ( sum @ n22 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486_6396,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_6397,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_6398,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_6399,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6400,plain,
( ( sum @ n12 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20170,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n23 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20103,zip_derived_cl47,zip_derived_cl546,zip_derived_cl21,zip_derived_cl646,zip_derived_cl486,zip_derived_cl47,zip_derived_cl21,zip_derived_cl542,zip_derived_cl386]) ).
thf('654',plain,
( ( sk__1 != n23 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20170]) ).
thf(zip_derived_cl1100_6401,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6402,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20102,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1100,zip_derived_cl20028]) ).
thf(zip_derived_cl46_6403,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl520_6404,plain,
( ( sum @ n17 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_6405,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl645_6406,plain,
( ( sum @ n22 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459_6407,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_6408,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_6409,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_6410,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334_6411,plain,
( ( sum @ n10 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20168,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n23 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20102,zip_derived_cl46,zip_derived_cl520,zip_derived_cl20,zip_derived_cl645,zip_derived_cl459,zip_derived_cl46,zip_derived_cl20,zip_derived_cl515,zip_derived_cl334]) ).
thf('655',plain,
( ( sk_ != n18 )
| ( sk__1 != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20168]) ).
thf(zip_derived_cl1099_6412,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6413,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20101,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1099,zip_derived_cl20028]) ).
thf(zip_derived_cl45_6414,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl494_6415,plain,
( ( sum @ n16 @ n24 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_6416,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl644_6417,plain,
( ( sum @ n22 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_6418,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_6419,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_6420,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_6421,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282_6422,plain,
( ( sum @ n8 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20166,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n23 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20101,zip_derived_cl45,zip_derived_cl494,zip_derived_cl19,zip_derived_cl644,zip_derived_cl432,zip_derived_cl45,zip_derived_cl19,zip_derived_cl488,zip_derived_cl282]) ).
thf('656',plain,
( ( sk__1 != n23 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20166]) ).
thf(zip_derived_cl1098_6423,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6424,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20100,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl20028]) ).
thf(zip_derived_cl44_6425,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl468_6426,plain,
( ( sum @ n15 @ n24 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_6427,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl643_6428,plain,
( ( sum @ n22 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_6429,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_6430,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_6431,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_6432,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230_6433,plain,
( ( sum @ n6 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20164,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n23 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20100,zip_derived_cl44,zip_derived_cl468,zip_derived_cl18,zip_derived_cl643,zip_derived_cl405,zip_derived_cl44,zip_derived_cl18,zip_derived_cl461,zip_derived_cl230]) ).
thf('657',plain,
( ( sk__1 != n23 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20164]) ).
thf(zip_derived_cl1097_6434,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6435,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20099,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1097,zip_derived_cl20028]) ).
thf(zip_derived_cl43_6436,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442_6437,plain,
( ( sum @ n14 @ n24 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_6438,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_6439,plain,
( ( sum @ n22 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_6440,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_6441,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_6442,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_6443,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_6444,plain,
( ( sum @ n4 @ n20 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20162,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n23 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20099,zip_derived_cl43,zip_derived_cl442,zip_derived_cl17,zip_derived_cl642,zip_derived_cl378,zip_derived_cl43,zip_derived_cl17,zip_derived_cl434,zip_derived_cl178]) ).
thf('658',plain,
( ( sk__1 != n23 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20162]) ).
thf(zip_derived_cl1096_6445,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6446,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20098,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1096,zip_derived_cl20028]) ).
thf(zip_derived_cl42_6447,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_6448,plain,
( ( sum @ n13 @ n24 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_6449,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl641_6450,plain,
( ( sum @ n22 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_6451,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_6452,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_6453,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_6454,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126_6455,plain,
( ( sum @ n2 @ n20 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20160,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n23 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20098,zip_derived_cl42,zip_derived_cl416,zip_derived_cl16,zip_derived_cl641,zip_derived_cl351,zip_derived_cl42,zip_derived_cl16,zip_derived_cl407,zip_derived_cl126]) ).
thf('659',plain,
( ( sk__1 != n23 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20160]) ).
thf(zip_derived_cl1095_6456,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6457,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20097,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1095,zip_derived_cl20028]) ).
thf(zip_derived_cl41_6458,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl390_6459,plain,
( ( sum @ n12 @ n24 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6460,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_6461,plain,
( ( sum @ n22 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_6462,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_6463,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6464,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_6465,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_6466,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20158,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n23 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20097,zip_derived_cl41,zip_derived_cl390,zip_derived_cl15,zip_derived_cl640,zip_derived_cl324,zip_derived_cl41,zip_derived_cl15,zip_derived_cl380,zip_derived_cl74]) ).
thf('660',plain,
( ( sk__1 != n23 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20158]) ).
thf(zip_derived_cl1093_6467,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6468,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20095,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1093,zip_derived_cl20028]) ).
thf(zip_derived_cl39_6469,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl338_6470,plain,
( ( sum @ n10 @ n24 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6471,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl638_6472,plain,
( ( sum @ n22 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_6473,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_6474,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6475,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_6476,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl646_6477,plain,
( ( sum @ n22 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20155,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n23 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20095,zip_derived_cl39,zip_derived_cl338,zip_derived_cl13,zip_derived_cl638,zip_derived_cl270,zip_derived_cl39,zip_derived_cl13,zip_derived_cl326,zip_derived_cl646]) ).
thf('661',plain,
( ( sk__1 != n23 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20155]) ).
thf(zip_derived_cl1092_6478,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6479,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20094,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1092,zip_derived_cl20028]) ).
thf(zip_derived_cl38_6480,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl312_6481,plain,
( ( sum @ n9 @ n24 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_6482,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl637_6483,plain,
( ( sum @ n22 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_6484,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_6485,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_6486,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_6487,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl594_6488,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20153,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n23 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20094,zip_derived_cl38,zip_derived_cl312,zip_derived_cl12,zip_derived_cl637,zip_derived_cl243,zip_derived_cl38,zip_derived_cl12,zip_derived_cl299,zip_derived_cl594]) ).
thf('662',plain,
( ( sk__1 != n23 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20153]) ).
thf(zip_derived_cl1091_6489,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6490,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20093,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl20028]) ).
thf(zip_derived_cl37_6491,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_6492,plain,
( ( sum @ n8 @ n24 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_6493,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl636_6494,plain,
( ( sum @ n22 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_6495,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_6496,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_6497,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_6498,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_6499,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20151,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n23 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20093,zip_derived_cl37,zip_derived_cl286,zip_derived_cl11,zip_derived_cl636,zip_derived_cl216,zip_derived_cl37,zip_derived_cl11,zip_derived_cl272,zip_derived_cl542]) ).
thf('663',plain,
( ( sk__1 != n23 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20151]) ).
thf(zip_derived_cl1090_6500,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6501,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20092,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1090,zip_derived_cl20028]) ).
thf(zip_derived_cl36_6502,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl260_6503,plain,
( ( sum @ n7 @ n24 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_6504,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl635_6505,plain,
( ( sum @ n22 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_6506,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_6507,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_6508,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_6509,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl490_6510,plain,
( ( sum @ n16 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20149,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n23 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20092,zip_derived_cl36,zip_derived_cl260,zip_derived_cl10,zip_derived_cl635,zip_derived_cl189,zip_derived_cl36,zip_derived_cl10,zip_derived_cl245,zip_derived_cl490]) ).
thf('664',plain,
( ( sk__1 != n23 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20149]) ).
thf(zip_derived_cl1089_6511,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6512,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20091,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1089,zip_derived_cl20028]) ).
thf(zip_derived_cl35_6513,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234_6514,plain,
( ( sum @ n6 @ n24 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_6515,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl634_6516,plain,
( ( sum @ n22 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_6517,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_6518,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_6519,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_6520,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438_6521,plain,
( ( sum @ n14 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20147,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n23 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20091,zip_derived_cl35,zip_derived_cl234,zip_derived_cl9,zip_derived_cl634,zip_derived_cl162,zip_derived_cl35,zip_derived_cl9,zip_derived_cl218,zip_derived_cl438]) ).
thf('665',plain,
( ( sk__1 != n23 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20147]) ).
thf(zip_derived_cl1088_6522,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6523,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20090,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1088,zip_derived_cl20028]) ).
thf(zip_derived_cl34_6524,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl208_6525,plain,
( ( sum @ n5 @ n24 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_6526,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl633_6527,plain,
( ( sum @ n22 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_6528,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_6529,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_6530,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_6531,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6532,plain,
( ( sum @ n12 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20145,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n23 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20090,zip_derived_cl34,zip_derived_cl208,zip_derived_cl8,zip_derived_cl633,zip_derived_cl135,zip_derived_cl34,zip_derived_cl8,zip_derived_cl191,zip_derived_cl386]) ).
thf('666',plain,
( ( sk__1 != n23 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20145]) ).
thf(zip_derived_cl1087_6533,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6534,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20089,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1087,zip_derived_cl20028]) ).
thf(zip_derived_cl33_6535,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182_6536,plain,
( ( sum @ n4 @ n24 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_6537,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl632_6538,plain,
( ( sum @ n22 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_6539,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_6540,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_6541,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_6542,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334_6543,plain,
( ( sum @ n10 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20143,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n23 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20089,zip_derived_cl33,zip_derived_cl182,zip_derived_cl7,zip_derived_cl632,zip_derived_cl108,zip_derived_cl33,zip_derived_cl7,zip_derived_cl164,zip_derived_cl334]) ).
thf('667',plain,
( ( sk__1 != n23 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20143]) ).
thf(zip_derived_cl1086_6544,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6545,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20088,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1086,zip_derived_cl20028]) ).
thf(zip_derived_cl32_6546,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_6547,plain,
( ( sum @ n3 @ n24 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_6548,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl631_6549,plain,
( ( sum @ n22 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_6550,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_6551,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_6552,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_6553,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282_6554,plain,
( ( sum @ n8 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20141,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n23 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20088,zip_derived_cl32,zip_derived_cl156,zip_derived_cl6,zip_derived_cl631,zip_derived_cl81,zip_derived_cl32,zip_derived_cl6,zip_derived_cl137,zip_derived_cl282]) ).
thf('668',plain,
( ( sk__1 != n23 )
| ( sk_ != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20141]) ).
thf(zip_derived_cl1085_6555,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl20028_6556,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n20 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl12396]) ).
thf(zip_derived_cl20087,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n20 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1085,zip_derived_cl20028]) ).
thf(zip_derived_cl31_6557,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_6558,plain,
( ( sum @ n2 @ n24 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_6559,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl630_6560,plain,
( ( sum @ n22 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_6561,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_6562,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_6563,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_6564,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230_6565,plain,
( ( sum @ n6 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20139,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n23 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20087,zip_derived_cl31,zip_derived_cl130,zip_derived_cl5,zip_derived_cl630,zip_derived_cl54,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110,zip_derived_cl230]) ).
thf('669',plain,
( ( sk_ != n3 )
| ( sk__1 != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20139]) ).
thf(zip_derived_cl1105_6566,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl5165_6567,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ ( pred @ n23 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n23 ) @ n24 ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1434,zip_derived_cl25,zip_derived_cl25]) ).
thf(zip_derived_cl5189,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n24 ) @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ ( sum @ ( pred @ n23 ) @ n24 ) ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1105,zip_derived_cl5165]) ).
thf(zip_derived_cl25_6568,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_6569,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5241,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n24 ) @ ( sum @ ( pred @ n23 ) @ n24 ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ n24 ) @ ( sum @ ( pred @ n23 ) @ n24 ) ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5189,zip_derived_cl25,zip_derived_cl25]) ).
thf('670',plain,
( ( sk__1 != n23 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5241]) ).
thf(zip_derived_cl1103_6570,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_6571,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18463,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl18424]) ).
thf(zip_derived_cl49_6572,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_6573,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_6574,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_6575,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18520,plain,
( ( ( sum @ ( sum @ n20 @ n18 ) @ ( sum @ n16 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18463,zip_derived_cl49,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23]) ).
thf(zip_derived_cl592_6576,plain,
( ( sum @ n20 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl492_6577,plain,
( ( sum @ n16 @ n22 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_6578,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_6579,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl478_6580,plain,
( ( sum @ n16 @ n8 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19966,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n17 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18520,zip_derived_cl592,zip_derived_cl492,zip_derived_cl378,zip_derived_cl596,zip_derived_cl478]) ).
thf('671',plain,
( ( sk_ != n21 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19966]) ).
thf(zip_derived_cl596_6581,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_6582,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_6583,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16754,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1103,zip_derived_cl16730]) ).
thf(zip_derived_cl49_6584,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_6585,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_6586,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_6587,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16807,plain,
( ( ( sum @ ( sum @ n20 @ n10 ) @ ( sum @ n8 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16754,zip_derived_cl49,zip_derived_cl23,zip_derived_cl49,zip_derived_cl23]) ).
thf(zip_derived_cl284_6588,plain,
( ( sum @ n8 @ n22 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18815,plain,
( ( ( sum @ ( sum @ n20 @ n10 ) @ n4 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16807,zip_derived_cl284]) ).
thf(zip_derived_cl19450,plain,
( ( ( sum @ ( sum @ n20 @ n10 ) @ n4 )
!= ( sum @ n16 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl18815]) ).
thf(zip_derived_cl584_6589,plain,
( ( sum @ n20 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_6590,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_6591,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19468,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n9 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19450,zip_derived_cl584,zip_derived_cl162,zip_derived_cl488]) ).
thf('672',plain,
( ( sk_ != n21 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19468]) ).
thf(zip_derived_cl1100_6592,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_6593,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16751,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_cl1100,zip_derived_cl16730]) ).
thf(zip_derived_cl46_6594,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_6595,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_6596,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_6597,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16804,plain,
( ( ( sum @ ( sum @ n17 @ n10 ) @ ( sum @ n8 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16751,zip_derived_cl46,zip_derived_cl20,zip_derived_cl46,zip_derived_cl20]) ).
thf(zip_derived_cl506_6598,plain,
( ( sum @ n17 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl281_6599,plain,
( ( sum @ n8 @ n19 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_6600,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_6601,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_6602,plain,
( ( sum @ n10 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18811,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n9 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16804,zip_derived_cl506,zip_derived_cl281,zip_derived_cl81,zip_derived_cl515,zip_derived_cl332]) ).
thf('673',plain,
( ( sk_ != n18 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18811]) ).
thf(zip_derived_cl378_6603,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1085_6604,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl16730_6605,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_cl272,zip_derived_cl7929]) ).
thf(zip_derived_cl16736,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_cl1085,zip_derived_cl16730]) ).
thf(zip_derived_cl31_6606,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116_6607,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_6608,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_6609,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_6610,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_6611,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_6612,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228_6613,plain,
( ( sum @ n6 @ n18 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16788,plain,
( ( ( sum @ n12 @ n12 )
!= n24 )
<= ( ( sk__1 = n9 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16736,zip_derived_cl31,zip_derived_cl116,zip_derived_cl5,zip_derived_cl266,zip_derived_cl31,zip_derived_cl5,zip_derived_cl110,zip_derived_cl228]) ).
thf(zip_derived_cl17582,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n9 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl16788]) ).
thf('674',plain,
( ( sk_ != n3 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17582]) ).
thf('675',plain,
( ( sk__1 = n17 )
| ( sk__1 = n9 )
| ( sk__1 = n3 )
| ( sk__1 = n24 )
| ( sk__1 = n12 )
| ( sk__1 = n4 )
| ( sk__1 = n0 )
| ( sk__1 = n6 )
| ( sk__1 = n16 )
| ( sk__1 = n8 )
| ( sk__1 = n22 )
| ( sk__1 = n19 )
| ( sk__1 = n1 )
| ( sk__1 = n13 )
| ( sk__1 = n18 )
| ( sk__1 = n14 )
| ( sk__1 = n25 )
| ( sk__1 = n7 )
| ( sk__1 = n2 )
| ( sk__1 = n5 )
| ( sk__1 = n11 )
| ( sk__1 = n20 )
| ( sk__1 = n15 )
| ( sk__1 = n10 )
| ( sk__1 = n21 )
| ( sk__1 = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1100_6614,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl18424_6615,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n8 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl10549]) ).
thf(zip_derived_cl18460,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1100,zip_derived_cl18424]) ).
thf(zip_derived_cl46_6616,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_6617,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_6618,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_6619,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18517,plain,
( ( ( sum @ ( sum @ n17 @ n18 ) @ ( sum @ n16 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n8 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18460,zip_derived_cl46,zip_derived_cl20,zip_derived_cl46,zip_derived_cl20]) ).
thf(zip_derived_cl514_6620,plain,
( ( sum @ n17 @ n18 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl489_6621,plain,
( ( sum @ n16 @ n19 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_6622,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_6623,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_6624,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19960,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n17 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18517,zip_derived_cl514,zip_derived_cl489,zip_derived_cl297,zip_derived_cl515,zip_derived_cl322]) ).
thf('676',plain,
( ( sk_ != n18 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19960]) ).
thf('677',plain,
( ( sk_ = n18 )
| ( sk_ = n3 )
| ( sk_ = n1 )
| ( sk_ = n23 )
| ( sk_ = n4 )
| ( sk_ = n25 )
| ( sk_ = n5 )
| ( sk_ = n12 )
| ( sk_ = n22 )
| ( sk_ = n6 )
| ( sk_ = n0 )
| ( sk_ = n8 )
| ( sk_ = n9 )
| ( sk_ = n24 )
| ( sk_ = n14 )
| ( sk_ = n15 )
| ( sk_ = n19 )
| ( sk_ = n13 )
| ( sk_ = n10 )
| ( sk_ = n16 )
| ( sk_ = n17 )
| ( sk_ = n20 )
| ( sk_ = n2 )
| ( sk_ = n7 )
| ( sk_ = n11 )
| ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl21326,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','443','444','445','446','447','448','449','450','451','452','453','454','455','456','457','458','459','460','461','462','463','464','465','466','467','468','469','470','471','472','473','474','475','476','477','478','479','480','481','482','483','484','485','486','487','488','489','490','491','492','493','494','495','496','497','498','499','500','501','502','503','504','505','506','507','508','509','510','511','512','513','514','515','516','517','518','519','520','521','522','523','524','525','526','527','528','529','530','531','532','533','534','535','536','537','538','539','540','541','542','543','544','545','546','547','548','549','550','551','552','553','554','555','556','557','558','559','560','561','562','563','564','565','566','567','568','569','570','571','572','573','574','575','576','577','578','579','580','581','582','583','584','585','586','587','588','589','590','591','592','593','594','595','596','597','598','599','600','601','602','603','604','605','606','607','608','609','610','611','612','613','614','615','616','617','618','619','620','621','622','623','624','625','626','627','628','629','630','631','632','633','634','635','636','637','638','639','640','641','642','643','644','645','646','647','648','649','650','651','652','653','654','655','656','657','658','659','660','661','662','663','664','665','666','667','668','669','670','671','672','673','674','675','676','677']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM376+1.025 : TPTP v9.2.0. Released v3.2.0.
% 0.04/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jNK50L4LXN true
% 0.16/0.36 % Computer : n014.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Oct 1 16:25:08 EDT 2025
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % Running portfolio for 300 s
% 0.16/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.36 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.37 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 24.59/4.14 % Solved by fo/fo1_av.sh.
% 24.59/4.14 % done 5291 iterations in 2.017s
% 24.59/4.14 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 24.59/4.14 % SZS output start Refutation
% See solution above
% 24.80/4.20
% 24.80/4.20
% 24.80/4.20 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 24.80/4.20 % Terminating...
% 25.29/4.31 % Runner terminated.
% 25.29/4.31 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------